Answer:All the answers were correct but her calculating was wrong.
Step-by-step explanation: Jordana could not find the scale factor she was looking in the wrong place but the answer was correct and when she calculated she it wrong but the answer was correct.
Answer:
C
Step-by-step explanation:
What is the range of the function f(x) = –2|x + 1|?
all real numbers
all real numbers less than or equal to 0
all real numbers less than or equal to 1
all real numbers greater than or equal to 1
Answer:
Range [tex]\rightarrow[/tex] all real numbers less than or equal to 0 [tex]\rightarrow[/tex] ( - ∞ , 0 ]
Step-by-step explanation:
For visual understanding a graph of the function is attached with the answer.
For calculating the range of any modulus function you need to know that if modulus is there across any function then the output will be always positive.For example: x has a range of ( - ∞ , + ∞ ) but |x| has a range of [ 0 , + ∞ ). Similarly range of |x + 1| is [ 0 , + ∞ ).
If you multiply the modulus function with a negative sign then the output will always be negative.For example: Range of |x| is [ 0 , + ∞ ) but range of -|x| is ( - ∞ , 0 ]. Similarly range of -|x + 1| is ( - ∞ , 0 ]
Range in this case won't be affected on multiplying a positive constant with the modulus function.Therefore the range of f(x) = -2|x + 1| will be ( - ∞ , 0 ].
(NOTE : [a,b] means all the numbers between 'a' and 'b' including 'a' and 'b'.
(a,b) means all the numbers between 'a' and 'b' excluding 'a' and 'b'.
(a,b] means all the numbers between 'a' and 'b' including only 'b' not 'a'.
[a,b) means all the numbers between 'a' and 'b' including only 'a' not 'b'.
{a,b} means only 'a' and 'b'.
{a,b] or (a,b} doesn't mean anything. )
Answer:
B
Step-by-step explanation:
all real numbers less than or equal to 0
In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. The side lengths of triangle ACD are b, h, and r, and the side lengths of triangle CBD are a, s, and h.
Which proportions are true?
A) c/a = a/s and c/b = b/r
B) c/a = s/a and c/b = r/b
C) c/b = a/s and c/a = b/r
D) c/b = s/a and c/a = r/b
Answer:
A
Step-by-step explanation:
In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. This altitude divides the triangle into two right triangles ADC and BDC. In these triangles,
[tex]\angle CBD\cong \angle ACD\cong \angle CBA[/tex][tex]\angle DCB\cong \angle DAC\cong \angle BAC[/tex]So,
[tex]\triangle ABC\sim \triangle CBD\sim \triangle ACD[/tex]
1. From the similarity [tex]\triangle ABC\sim \triangle CBD,[/tex] you have
[tex]\dfrac{AB}{BC}=\dfrac{BC}{BD}\\ \\\dfrac{c}{a}=\dfrac{a}{s}[/tex]
2. From the similarity [tex]\triangle ABC\sim \triangle ACD,[/tex] you have
[tex]\dfrac{AB}{AC}=\dfrac{AC}{AD}\\ \\\dfrac{c}{b}=\dfrac{b}{r}[/tex]
Hence, option A is true
Final answer:
The correct proportions for the right triangle ABC with altitude CD are c/a = b/r and c/b = a/s, derived from the similarity of the triangles ACD and CBD with triangle ABC.(Option c)
Explanation:
In the given right triangle ABC with altitude CD, we can apply similarity properties to find the true proportions related to the side lengths labeled a, b, and c, and the segments of the altitude, labeled h, r, and s. To solve the problem, we can consider the two right triangles ACD and CBD created by drawing altitude CD. Since these triangles are similar to ABC, their corresponding side ratios will be equal.
Applying the similarity of triangles (Theorem 22), two sets of proportions become evident:
Triangle ACD is similar to triangle ABC, which leads to the proportions:These proportions come from setting the sides of the smaller triangles against the hypotenuse c of the larger triangle ABC and using corresponding sides of similar triangles. Thus, the correct answer is that the true proportions are c/a = b/r and c/b = a/s, which match option C) in the question.
Juan fode his bike 2/3 mile to school,1/3 mile to the library,2/3 mile home far did he ride altogether
Answer:1 2/3
Step-by-step explanation:
2/3+1/3+2/3=5/3=1 2/3
7=x+3. What is being done to the variable?
Step-by-step explanation: If you take a look at the right side of the equation, a 3 is being added to our variable x.
If you were going to solve this equation, you must subtract 3 from the right side and the left side to isolate our variable.
You would end up with 4 = x.
An equation of a line perpendicular to y=2/3x-6
Final answer:
The equation of a line perpendicular to y=2/3x-6 has a slope of -3/2. The general form of the equation is y = -3/2x + b, where b is the y-intercept.
Explanation:
The student has asked for an equation of a line that is perpendicular to the line given by y=2/3x-6. For two lines to be perpendicular, the product of their slopes must be -1. Since the slope (m₁) of the given line is 2/3, the slope of the line perpendicular to it (m₂) must satisfy the equation m₁×m₂ = -1. Therefore, m₂ must be -3/2 (since (2/3)×(-3/2) = -1).
An equation of a straight line can be represented by y = mx + b, where m is the slope and b is the y-intercept. To find an equation of a line perpendicular to y=2/3x-6, we can use the slope m₂ = -3/2. The general form of the equation of the line we are seeking would then be y = -3/2x + b, where b is the y-intercept that can be determined based on a specific point the line passes through.
How would you describe the location of the solutions in the
coordinate plane?
Answer:
The coordinates of a point are a pair of numbers that define its exact location on a two dimensional plane. Recall that the coordinate plane has two axes at right angles to each other, called the x and y axis. The coordinates of a given point represent how far along each axis the point is located.
Step-by-step explanation:
The location of solutions in the coordinate plane is described using a Cartesian coordinate system, involving movements either vertically (upward or downward) or horizontally (to the right or left) from the origin, represented by coordinates (x, y).
The location of the solutions in the coordinate plane can be described using a Cartesian coordinate system. This system is based on two perpendicular lines, the x-axis (horizontal) and the y-axis (vertical), intersecting at the origin (0,0). When we are looking at solutions on this grid, we can describe their positions in relation to the origin.
If a solution moves vertically upward from the origin, its y-coordinate increases while the x-coordinate remains the same.
Moving vertically downward means the y-coordinate decreases.
Horizontally to the right, the x-coordinate increases from the origin.
Horizontally to the left, the x-coordinate decreases.
The point at which the solution lies can be described by a pair of numbers, or coordinates, such as (x, y), where x is the position along the horizontal axis and y is the position along the vertical axis.
the legs of a right triangle measure 7 units and 24 units. what is the measure of the hypotenuse? round to the nearest tenth is necessary
The measure of the hypotenuse is 25.0 units
Step-by-step explanation:
Let us revise how to find the length of the hypotenuse in a right Δ
If the two legs of a right triangle are x and yIf the hypotenuse is zAccording to Pythagoras Theorem [tex]z=\sqrt{x^{2}+y^{2}}[/tex]∵ The legs of a right triangle measure 7 units and 24 units
∴ x = 7 units and y = 24 units
∵ [tex]z=\sqrt{x^{2}+y^{2}}[/tex]
- Substitute the values of x and y in the rule to find z
∵ [tex]z=\sqrt{(7)^{2}+(24)^{2}}[/tex]
∴ [tex]z=\sqrt{49+576}[/tex]
∴ [tex]z=\sqrt{625}[/tex]
∴ z = 25 units
∵ z is the hypotenuse
∴ The measure of the hypotenuse = 25 units
The measure of the hypotenuse is 25.0 units
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Nikko is printing 500 one-page flyers for a car wash. He is using two
printers. One printer can print 500 pages in 20 minutes. The other printer
can print 500 pages in 25 minutes. About how long will it take Nikko to
print the 500 flyers for the car wash using both printers?
-)
A
23 minutes
1)
B
11 minutes
) ©
9 minutes
-
D
5 minutes
Answer:
11 minutes.
Step-by-step explanation:
To print 500 pages the first printer takes 20 minutes.
Then in one minute it can print [tex]\frac{500}{20} = 25[/tex] pages.
Again, to print 500 pages the first printer takes 25 minutes.
Then in one minute it can print [tex]\frac{500}{25} = 20[/tex] pages.
So, working together both the printer will print (20 + 25) = 45 pages in 1 minute.
Therefore, they will print 500 pages in [tex]\frac{500}{45} = 11.11[/tex] minutes ≈ 11 minutes. (Answer)
a point is reflected in the x-axis the new point is (5, -3.5) what is the distance between the two points? Urgent
Pls help
Answer:
7
Step-by-step explanation:
The point is reflected over the x-axis so we just need to look at the y-value.
The distance between the two points will be twice the y-value.
|3.5 * 2| = 7
Solve the following inequality.
9x−2>43
Answer:
x > 5
Step-by-step explanation:
Given
9x - 2 > 43 ( add 2 to both sides )
9x > 45 ( divide both sides by 9 )
x > 5
The solution to the inequality (9x - 2 > 43) is (x > 5).
To solve the inequality (9x - 2 > 43), follow these steps:
1. Add 2 to both sides of the inequality to isolate the term with x on one side:
[tex]\[ 9x - 2 + 2 > 43 + 2 \] \[ 9x > 45 \][/tex]
2. Divide both sides of the inequality by 9 to solve for x:
[tex]\[ \frac{9x}{9} > \frac{45}{9} \] \[ x > 5 \][/tex]
This means that any value of x greater than 5 will satisfy the original inequality. The solution set is all real numbers greater than 5.
What is the solution set of {x | x > -5} U {x | x < 5}?
•All numbers except -5 and 5
•The empty set
•All real numbers
For this case we must find the solution set of the following inequalities:
[tex]x> -5[/tex]
The solution is given by all values of x greater than -5.
[tex]x <5[/tex]
The solution is given by all values of x greater than -5.
Then, the solution set is given by all real numbers.
Answer:
The solution is given by all real numbers.
Option C
The solution set for the given conditions corresponds to all real numbers between and inclusive of -5 and 5.
Explanation:The given sets are {x | x > -5} U {x | x < 5}, which represents the union of numbers greater than -5 and numbers less than 5. Considering both conditions, the solution set encompasses all real numbers in between these two values, inclusive of -5 and 5. Therefore, the correct solution is All real numbers.
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Frank rolled a die 7 times and recorded his results in the
ames and recorded his results in the tally chart below. What is the experimental
probability of rolling a 2?
Answer:
Rolling a 2 seven times = [tex]3.57\times 10^{-6}[/tex]
Step-by-step explanation:
Given:
A die is rolled seven times.
Number of possible outcomes in a die = {1, 2, 3, 4, 5, 6}
So, n(S) = 6
Now, rolling a '2' is given as:
[tex]P(2)=\frac{\textrm{Favourable outcome}}{\textrm{Total possible outcomes}}=\frac{1}{6}[/tex]
Now, rolling a die seven times resulting in a '2' is given as the product of the probability at each time.
Therefore, the experimental probability of rolling a 2 seven times is given as:
[tex]=[P(2)]^7\\\\=(\frac{1}{6})^7\\\\=3.57\times 10^{-6}[/tex]
Which expression is the simplest form of 2(4x + 3) + 3(x - 63) + x??
OOO
A. x2 +11x-17y
B. x2 + 11x- 4y
C. x2 + 9x-17y
D. x2 +11x-16y
Answer:
12x-183
Step-by-step explanation:
2(4x+3)+3(x-63)+x
8x+6+3x-189+x
12x+6-189
12x-183
If f(x) = 10x + 7 and g(x) = x^2 - 7x, find (f - g)(x)
A. (f - g)(x) = x^2 + 3x + 7
B. (f - g)(x) = 10x^3 - 63x^2 - 49x
C. (f - g)(x) = -x^2 + 17x + 7
D. (f - g)(x) = 10x + 7
Answer:
C
Step-by-step explanation:
note that (f - g)(x) = f(x) - g(x)
f(x) - g(x)
= 10x + 7 - (x² - 7x) ← distribute parenthesis by - 1
= 10x + 7 - x² + 7x ← collect like terms
= - x² + 17x + 7 → C
Final answer:
To find (f - g)(x), you need to subtract the function g(x) from the function f(x). The answer is -x^2 + 17x + 7.
Explanation:
To find (f - g)(x), we need to subtract the function g(x) from the function f(x).
Given f(x) = 10x + 7 and g(x) = x^2 - 7x, we substitute these values into (f - g)(x):
(f - g)(x) = f(x) - g(x) = (10x + 7) - (x^2 - 7x)
Expanding and simplifying, we get (f - g)(x) = -x^2 + 17x + 7.
Use the distributive property to write each expression as an equivalent expression. Then evaluate it. (5+1)3
Answer:
18
Step-by-step explanation:
(5+1)3=5*3+1*3=15+3=18
Robert takes a roast out of the oven when the internal temperature of the roast is 165°F. After 15 minutes, the temperature of the roast drops to 135°F.
The temperature of the room is 70°F.
How long does it take for the temperature of the roast to drop to 110°F?
Use the Newton's Law of Cooling equation, T(t)=TA+(T0−TA)ekt .
Enter your answer in the box. Round your answer to the nearest minute.
Please help me get to this answer?
Answer:
55 minutes :)
Step-by-step explanation:
Rate of drop of temperature = Change in temperature/Rate
=> (165 - 135)/15
=> 30/15
=> 2 ⁰F/min
Now, The time at which the temperature of will be 70⁰F = 70/Rate
=> 70/2
=> 35 min
Time for 110⁰ F
=> 110/2
=> 55 min
Answer:
34 minutes
Step-by-step explanation: I just took the test
If f(x) = 6x2 - 4 and g(x) = 2x+ 2, find (f - g)(x).
O A. 6x2 - 2x - 6
O B. 6x2 - 2x-2
O c. 44²-6
O D. 2x - 5x2 - 2
Answer:
A
Step-by-step explanation:
Note that (f - g)(x) = f(x) - g(x)
f(x) - g(x)
= 6x² - 4 - (2x + 2) ← distribute parenthesis by - 1
= 6x² - 4 - 2x - 2 ← collect like terms
= 6x² - 2x - 6 → A
Answer:
A. 6x^2 - 2x - 6.
Step-by-step explanation:
( f - g)(x)
= 6x^2 - 4 - (2x + 2)
= 6x^2 - 4 - 2x - 2
= 6x^2 - 2x - 6.
Sam claims that cos X=sin Y if X and Y are congruent angles. Is Sam correct?
No, Sam is not correct. Cosine and sine are not always equal for congruent angles.
Explanation:No, Sam is not correct. Congruent angles have the same measure, but cosine and sine are not always equal for congruent angles. Cosine measures the ratio of the adjacent side to the hypotenuse in a right triangle, while sine measures the ratio of the opposite side to the hypotenuse. These ratios are not the same in most cases, so cos X will not equal sin Y for congruent angles.
A set of laptop prices are normally distributed with a mean of 750 dollars and a standard deviation of 60
dollars.
What proportion of laptop prices are between 624 dollars and 768 dollars?!
You may round your answer to four decimal places.
Answer:
0.6
Step-by-step explanation:
it is right
The proportion of laptop prices that are between 624 dollars and 768 dollars would be: 0.3907 or 39.07%.
What is the proportion?To determine the proportion of laptop prices that are betwee the specified prices, we would ge the z scores in the following way:
624 dollars
Z1 = (624 - 750) / 60 = -2.1
768 dollars
Z2 = (768 - 750) / 60 = 0.3
Now, if we use the standard distribution table, we would arrive at;
P(-2.1 < Z < 0.3) ≈ 0.3907
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A. Part 1 ......Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale factor that describes a dilation from BC to FG? Give the exact scale factor and state whether the dilation is an expansion or a contraction.
B. Part 2..... If side AB has length 17/26 what is the length of side EF? Give the exact, un-rounded value.
C. Part 3........If the area of ABCD is 147 square inches, what is the area of EFGH? Give the exact answer.
I would deeply appreciate it if you could explain how to find the answer
(I'm specifically confused about scale factor and diagonals in part 1) and if you could do a step by step walk through. Will give Brainliest Answer!
A. Part 1- The scale factor from BC to FG is 7/13 . Since this ratio is less than 1, it indicates a contraction.
B. Part 2- The length of side EF is 221/182
C. Part 3- The exact area of EFGH is 7213127/33124 square inches.
Let's solve each part step by step:
A. Part 1:
To find the scale factor from BC to FG, we need to find the ratio of the lengths of the corresponding sides of the similar quadrilaterals.
Given:
Diagonal AC (in quadrilateral ABCD) has length 7.
Diagonal EG (in quadrilateral EFGH) has length 13.
Using the fact that the diagonals of similar quadrilaterals are proportional, we have:
BC/ FG = AC/ EG
Substituting the given values:
BC/ FG = 7/13
So, the scale factor from BC to FG is 7/13 . Since this ratio is less than 1, it indicates a contraction.
B. Part 2:
Given side AB has a length of 17/26 . To find the length of side EF, we use the scale factor found in Part 1.
If the scale factor from BC to FG is 7/13 , then the length of side EF can be found using the proportion:
EF/ AB = FG/ BC
Substituting the given values:
EF=7/13×17/ 26
Solving for EF:
EF= 13/ 7 × 17/ 26 = 221/ 182
So, the length of side EF is 221/182
C. Part 3:
If the area of quadrilateral ABCD is 147 square inches, and the scale factor is 7/13 , the area of quadrilateral EFGH can be found using the scale factor squared.
The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.
So,
( EF/AB )^2 =( 7/13 )^2
( 221/ 182)^2 =( 7/13 )^2
Solving for ( 221/ 182 )^2 :
( 221/182 )^2 = 48841/ 33124
Now, if the area of ABCD is 147 square inches, then the area of EFGH would be:
147× 48841/ 33124 = 7213127 /33124
So, the exact area of EFGH is 7213127/33124 square inches.
PLZ help reaally super fast
Answer:
The Value of tan x is the option E.
[tex]\tan x=\dfrac{4}{3}[/tex]
Step-by-step explanation:
Given:
[tex]\textrm{Opposite side to angle x}= 8[/tex]
[tex]\textrm{Adjacent side to angle x}= 6[/tex]
To Find:
[tex]\\tan x=?[/tex]
Solution:
In a Right Triangle Tangent Identity is
[tex]\tan x= \dfrac{\textrm{side opposite to angle x}}{\textrm{side adjacent to angle x}}[/tex]
Substituting the values we get
[tex]\tan x= \dfrac{8}{6}=\dfrac{4}{3}[/tex]
The Value of tan x is the option E.
[tex]\tan x=\dfrac{4}{3}[/tex]
use an equation to find the value of k so that the line passes through (k,4) and (1,0) has a slope of m=-2
Answer:
(0-4)/(1-k)= -2
-4/(1-k)= -2
-2(1-k)= -4
-2 +2k = -4
2k = -2
k = -1
(-1, 4)
y - 4 = -2( x + 1)
y - 4 = -2x - 2
y = -2x + 2
The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.
What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?
a $60
b $80
c $90
d $100
Answer:
b $80
Step-by-step explanation:
Interest = Principal x Interest Rate x Time
$40 = P x 0.1 x 5
$40 = 0.5 P
Dividing the equation by 0.5 we get;
P = $40 / 0.5
P = $80
Expand the expression:
7(10s-10)=
Answer:
70s-10 s=7
Step-by-step explanation:
first you want to multiply 7 * 10 which will give you 70 s -10 then you want to divide the 70 by 10 and you will get seven as your answer
Answer:
Step-by-step explanation:
7(10s-10)
= 70s - 70
Solve for x: 2 over 5 (x − 4) = 2x. (1 point)
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
we have
[tex]\frac{2}{5}(x-4)=2x[/tex]
Solve for x
Multiply by 5 both sides
[tex]2(x-4)=10x[/tex]
Divide by 2 both sides
[tex]x-4=5x[/tex]
Subtract x both sides
[tex]x-4-x=5x-x[/tex]
[tex]-4=4x[/tex]
Divide by 4 both sides
[tex]x=-1[/tex]
is the product of (a - b)(a - b) is a perfect square trinomial.
Use the formula (b/2)² in order to create a new term in order to find the perfect square trinomial.
a² - 2ab + b²
Answer:
The answer is never
Step-by-step explanation:
I hope this helps
Use the interactive to graph the line that goes through
(-4,-3) and has a slope of 3/4.
Which statements are true about the line? Check all
that apply.
The line is horizontal
The line goes the through the origin
The point (3,4) lies on the line
The line is sloping upward
The x-intercept is 0
Answer:
b, d, and e
Step-by-step explanation:
The analysis, the following statements are true:
The line goes through the origin.
The line is sloping upward.
The x-intercept is 0.
The equation of the line using the point-slope form of a linear equation:
Point-slope form: y - y₁ = m(x - x₁),
where (x₁, y₁) is a point on the line, and m is the slope.
Given:
Point (x₁, y₁) = (-4, -3)
Slope (m) = 3/4
Substitute these values into the point-slope form:
y - (-3) = (3/4)(x - (-4))
y + 3 = (3/4)(x + 4)
Now, let's simplify this equation:
y + 3 = (3/4)x + 3
y = (3/4)x
This is the equation of the line.
Now, let's evaluate the statements:
The line is horizontal. (False)
The slope of the line is 3/4, which means it has a positive slope and is sloping upward.
The line goes through the origin. (True)
The line does not pass through the origin (0, 0) because its y-intercept is 3.
The point (3, 4) lies on the line. (False)
Let's substitute the coordinates (3, 4) into the equation:
y = (3/4)x
4 = (3/4)(3)
4 = 9/4
Since 4 ≠ 9/4, the point (3, 4) does not lie on the line.
The line is sloping upward. (True)
The slope is positive (3/4), so the line is indeed sloping upward.
The x-intercept is 0. (False)
To find the x-intercept, set y = 0 and solve for x:
0 = (3/4)x
x = 0
This shows that the x-intercept is 0.
Based on the analysis, the following statements are true:
The line is sloping upward.
The x-intercept is 0.
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There are 5280 feet in 1 mile. How many feet are in 3.5 miles?
Answer:
6
Step-by-step explanation:
Answer:
[tex]5280 \: feet \: = 1 \: mile \\ \\ = > 1 \: mile \: = 5280 \: feet \\ \\ = > 3.5 \: miles \: = \: 3.5 \times 5280 \: feet \\ \\ = > 3.5 \: miles \: = \: 18480 \: feet[/tex]
2 question 7 in picture :)
Answer:
The Proof is given below.
Step-by-step explanation:
Given:
M is the Mid Point of HS and GT
To Prove:
Δ GMH ≅ Δ TMS
Proof:
In Δ GMH and Δ TMS
M is the Mid Point of HS and GT ........{Given}
GM ≅ MT ....……….{ M is the Mid Point of GT }
HM ≅ SM …………..{ M is the Mid Point of HS }
∠ GMH ≅ ∠ TMS ....……….{ Vertical opposite angles are equal}
Δ GMH ≅ Δ TMS ..........….{ By Side-Angle-Side test} ...Proved
Kevin and Levi go to the movie theater and purchase refreshments for their friends.
Kevin spends a total of $44.50 on 3 bags of popcorn and 4 drinks.
Levi spends a total of $84.00 on 4 bags of popcorn and 8 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
Answer:
The System of equation are [tex]\left \{ {{3x+4y=44.50} \atop {4x+8y=84.00}} \right.[/tex]
Step-by-step explanation:
Let the Cost of bags of popcorn be 'x'.
Let the Cost of drinks be 'y'.
Given:
Kevin spends a total of $44.50 on 3 bags of popcorn and 4 drinks.
Now Total Money Spend by Kevin is equal to sum of Number of bags of popcorn multiplied by Cost of bags of popcorn and number of drinks multiplied by Cost of drinks.
framing in equation form with given details we get;
[tex]3x+4y=44.50[/tex]
Also Given:
Levi spends a total of $84.00 on 4 bags of popcorn and 8 drinks.
Now Total Money Spend by Levi is equal to sum of Number of bags of popcorn multiplied by Cost of bags of popcorn and number of drinks multiplied by Cost of drinks.
framing in equation form with given details we get;
[tex]4x+8y=84.00[/tex]
Hence The System of equation are [tex]\left \{ {{3x+4y=44.50} \atop {4x+8y=84.00}} \right.[/tex]