Find the Solution to the system of equations.
A. (1, 4)
B. (4, 1)
C. (0, 3)
D. (4, -1)
Answers
The solution to the system of equations represented by the graph is (b) (4,1)
How to determine the solution?The solution to the system of equations is the point of intesection of the equations.
From the graph, the lines intersect at the point
(x,y) = (4,1)
Hence, the solution to the system of equations is (4,1)
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Related Questions
What is the value of x in this equation: 4x + 5 = 3x + 4? Solve the equation using the algebra tiles. x =
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Answer:
Solution of the equation 4x + 5 = 3x + 4 is:
x= -1
Step-by-step explanation:
We are given a equation:
4x + 5 = 3x + 4
We have to solve the equation for x
4x+5=3x+4
subtracting both sides by 4
4x+5-4=3x+4-4
4x+1=3x
subtracting both sides by 4x
4x|+1-4x=3x-4x
1= -x
⇒ x= -1
Hence, solution of the equation 4x + 5 = 3x + 4 is:
x= -1
when multiplying two or more fractions, you should?
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Write an algebraic expression for 15 decreased by twice a number
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15-2x
Hope this helps!
-Benjamin
What value does 4 represent in the number 487.009
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find the solution of the system of equations 2x-4y=32 2x-8y=48
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2x-8y=48
--------------subtract
4y = - 16
y = -4
2x-4y=32
2x- 4(-4)=32
2x + 16 = 32
2x = 16
x = 8
answer
(8, -4)
2x - 8y = 48
Multiple equation 2 by -1 so the 'x' variables will cancel.
-1(2x - 4y = 32)
-2x + 4y = - 32
2x - 8y = 48
-------------------- add
- 4y = 16 divide both sides by -4
y = -4
Plug -4 back into either equation and solve for y.
2x - 4y = 32
2x -4(-4) = 32
2x + 16 = 32 subtract 16 from both sides
2x = 16 divide both sides by 2
x = 8
(8, -4)
What is the range of y=sec x
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y≤-1, y≥1 is the range of y=sec x
The values where cos(x) is equal to 0 are excluded from the domain of the function y=sec(x)=1cos(x), or the values 2+n for all integers n. The function's range is either y<=1 or y>=1.
What is domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).
here, we have,
we know that "secant function" mean:
Its root is the Latin verb secare, which means "to cut." Any line that intersects a circle twice is referred to as a secant line, and you can conceive of this line as slicing the circle in half. The distance from the origin to the point where the tangent line intersects the x-axis is the secant function.
now, the identity of the sec is:
1/cos(x) = sec(x) Cot (x) = 1/Tan (x)
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Simplify (−34.67)0.
−34.67
−1
0
1
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Answer:
The answer is 1.
Im sorry I forgot the step by step explanation, but I had this in a quuiz a while ago and the answer is 1.
Jared flipped a fair coin 50 times. He expected half of his tosses to land on heads, but he only got heads 15 times. If he increased the number of times he flipped the coin to 500, he should expect the number of heads to be-
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A bag contains nickels, quarters and pennies. If a handful of coins brings in five nickels, 3 quarters, and nine pennies, how much money is expected to be in the bag if 90 coins are in the bag?
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The expected amount of money in the bag if 90 coins are in the bag is [tex]\(\$5.78\)[/tex].
We need to determine the total value of the coins in the bag based on the given handful and then extrapolate that to the total number of coins in the bag.
First, let's calculate the value of the coins in the handful:
The value of five nickels is [tex]\(5 \times 5\)[/tex] cents = 25 cents.
The value of three quarters is [tex]\(3 \times 25\)[/tex] cents = 75 cents.
The value of nine pennies is [tex]\(9 \times 1\)[/tex] cent = 9 cents.
Adding these values together gives us the total value of the handful:
[tex]\[25 + 75 + 9 = 109 \text{ cents}\][/tex]
Next, we need to find out the ratio of each type of coin in the handful. We have a total of [tex]\(5 + 3 + 9 = 17\)[/tex] coins in the handful.
The ratios for each type of coin are as follows:
Nickels: [tex]\(\frac{5}{17}\)[/tex]
Quarters: [tex]\(\frac{3}{17}\)[/tex]
Pennies: [tex]\(\frac{9}{17}\)[/tex]
Now, let's calculate the expected number of each type of coin in the bag, given that there are 90 coins in total:
Expected nickels: [tex]\(90 \times \frac{5}{17}\)[/tex]
Expected quarters: [tex]\(90 \times \frac{3}{17}\)[/tex]
Expected pennies: [tex]\(90 \times \frac{9}{17}\)[/tex]
Using these ratios, we can calculate the expected number of each coin type:
Expected nickels: [tex]\(90 \times \frac{5}{17} \approx 26.47\)[/tex], but since we can't have a fraction of a coin, we'll consider 26 nickels.
Expected quarters: [tex]\(90 \times \frac{3}{17} \approx 15.88\)[/tex], rounding to 16 quarters.
Expected pennies: [tex]\(90 \times \frac{9}{17} \approx 47.65\)[/tex], rounding to 48 pennies.
Finally calculate the total expected value in the bag by multiplying the number of each type of coin by its value:
Value of expected nickels: [tex]\(26 \times 5\)[/tex] cents = 130 cents
Value of expected quarters: [tex]\(16 \times 25\)[/tex] cents = 400 cents
Value of expected pennies: [tex]\(48 \times 1\)[/tex] cent = 48 cents
Adding these values together gives us the total expected value in the bag:
[tex]\[130 + 400 + 48 = 578 \text{ cents}\][/tex]
To convert the total value from cents to dollars, we divide by 100:
[tex]\[578 \text{ cents} \div 100 = \$5.78\][/tex]
For his craft project, James bought 10 pieces of ribbon that were each 2.1 feet long. How many total yards of ribbon did James buy?
Answers
There is 1 yard in 3 feet. Divide by 3 to convert.
21 / 3 = 7
Therefore he brought 7 yards of ribbon.
James buy 7 yard of ribbon
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
James= 10 pieces of ribbon
Each of length= 2.1 feet
So, length of 10 ribbons
=2.1*10
=21 feet
Now, 1 yard= 3 feet
So, 21 feet= 21/3= 7 yard
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how many solutions does the equation 4y+7=5+2+4y have?
A. one
B. two
C. None
D. infinitely many
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4y + 7 = 7 + 4y
same line....infinite solutions
A triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter is 19 inches.
What is the measure of x?
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x + (x - 4) + (x - 4) = 19
3x - 8 = 19
3x = 19 + 8
3x = 27
x = 27/3
x = 9 <==
Answer: Simplified version of the answer above: (x = 9) is the correct answer.
Step-by-step explanation:
Part A: Solve −np − 90 < 30 for n. Show your work. (4 points) Part B: Solve 5m − 3h = 45 for h. Show your work. (6 points)
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Part A: Solve for n; -n*p - 90 < 30
Add 90 to both sides.
-n*p < 120
Divide both sides by p.
-n < 120/p
Divide both sides by -1.
n [tex] \geq [/tex] 120/-p is your answer for part A.
Part B: Solve for h; 5m - 3h = 45
Subtract 5m from both sides.
-3h = -5m + 45
Divide both sides by -3.
h = (-5m + 45)/-3 is your answer for part B.
I hope this helps!
F^(-1) when f(x)=2x-7/3
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x=2y-7/3
x+7/3=2y-7/3+7/3
(x+7/3)/2=2y/2
(x+7/3)/2= f^-1(x)
Write a word phrase for the algebraic expression 3x+10
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Jenny wants to park in an airport parking lot. The parking lot costs x amount of money per hour, plus an additional parking fee of $10. Jenny stays in the parking lot for 3 hours.
This causes our equation to be 3x (3 hours) + 10 (additional parking fee).
I hope this helps!
the age of two groups of yoga students are shown in the following dot plot
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The answer is choice A.
Last year, Raul estimated that he would need 480 night lights, but he sold 420 night lights. This year, he bought 425 night lights and only sold 375. Which set of statements about the percent errors for the two years is true
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Hope it helped <3
Answer:
The answer is C in edg.
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The following data show the height, in inches, of 11 different garden gnomes:
2 9 1 23 3 7 10 2 10 9 7
After removing the outlier, what does the mean absolute deviation of this data set represent?
A, On average, the height of a garden gnome varies 3.2 inches from the mean of 7 inches.
B, On average, the height of a garden gnome varies 3.6 inches from the mean of 6 inches.
C, On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
D, On average, the height of a garden gnome varies 3.6 inches from the mean of 7 inches.
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The average or mean, therefore, is
μ = Σx/N = (2+9+1+3+7+10+2+10+9+7)/10
μ = 6
The equation for the mean absolute deviation is
MAD = ∑|x-μ|/N
MAD = [|2-6|+|9-6|+|1-6|+|3-6|+|7-6|+|10-6|+|2-6|+|10-6|+|9-6|+|7-6|]/10
MAD = 3.2
Therefore, the answer is C.
A store had 235 MP3 players in the month of January. Every month ,30% of the MP3 players were sold and 50 new MP3 players were stocked in the store. Witch recursive best represents the number of MP3 players in the store f(n) after n months?
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Solve for x: the quantity of x plus 4 all over 2 = 7.
x = 3
x = 5
x = 6
x = 10
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i hope this helped
Use a calculator to evaluate 8 · cos30° rounded to four decimal places.
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Answer:
The value of 8 cos 30° rounded to four decimal places = 6.9282
Step-by-step explanation:
Here we need to find the value of 8 cos 30° rounded to four decimal places.
Using the calculator to find the value
8 cos 30° = 6.9282032302755
Rounding the number to four decimal places, we will get
8 cos 30° = 6.9282
The value of 8 cos 30° rounded to four decimal places = 6.9282
The equation x = 6 represents a vertical line. True or false
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PLZZZ HELP WILL GIVE BRAINLIESTTTT
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Which expression shows a sum of three terms?
3x
3 + x
x3
x + 3 + x
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x + 3 + x <==
___________________________________________________
The three (3) terms are: "x" , "3" , and "x" .
___________________________________________________
Answer choice [A]: "3x" ; only has one term.
___________________________________________________
Answer choice [B]: "x + 3 " ; only has two terms: "x" and "3" .
___________________________________________________
Answer choice [C]: "x³ " ; only has one term.
___________________________________________________
What's the area of a circle with a radius of 5?
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given that the radius=5 units
area=pi 5²=25pi
area=25pi square units
if we use pi=3.14 aprox then
area=78.5 square units
Solve the following system of equations by substitution. 3x + 2y = -12 x = 2 A. (2, -9) B. (-2, -3) C. (3, 2) D. (2, 3)
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To take a taxi, it costs $3 plus an additional $2.00 per mile traveled. You spent exactly $ 20 on a taxi, which includes the $1 tip you left. How many miles did you travel
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19=3+2x
16=2x
x=8
Answer: 8 miles
Each of the four outside walls of the large wooden box shown above is to be covered with waterproof plastic that comes in 3-foot-wide rolls. The plastic does not overlap. What is the total length, in feet, of plastic, needed to cover the four walls?
A) 21 ft
B) 42 ft
C) 63 ft
D) 84 ft
E) 126 ft
Explain too, thanks.
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that will be
LA=2H(L+W)
H=6
L=12
W=9
LA=2(6)(12+9)
LA=12(21)
LA=252
so we need 252 square feet
it comes in 3ft width so
3ft times ?=252
divide both sides by 3ft
?=84
we need 84ft of that wrap
D is answer
Which number is equivalent to the fraction 18/5
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Multiply two to both numerator and denominator and the answer would be 36/10 and when simplified 18/5.
find the volume of the shaded solid. Round your answer to 2 decimal places if necessary. Use pi=3.14 when necessary. cylinder with these 6ft, 18ft, 30 ft.
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The volume of any cylinder is the area of the top circle (pi×r^2) times the height (h) of the cylinder, where r=radius of the circle. So: h×pi×r^2
The heights are the same for C and c, so we can call that h in both, which = 30ft. Now C's radius (R) = 1/2 of diameter, which is 18ft. So R = 9ft
c's radius (r) is 1/2 of its diameter, which is 6ft. So r = 3ft. Now we can set it up:
C - c = (h×pi×R^2) - (h×pi×r^2)
*since the h and pi in both formulae are multiplied by the other variable, we can factor that out:
h×pi(R^2) - h×pi(r^2) = h×pi(R^2-r^2)
h×pi = 30ft.×3.14 = 94.2ft. -->
94.2ft(9ft^2-3ft^2) = 94.2ft(81-9ft^2)
= 94.2ft(72ft^2) = 6782.4 ft.^3