Mathematics High School

A system of two equations is shown below: equation
c.a = 3b + 6 equation
d.a = 7b − 1 what value of a can be substituted into equation d to solve the system of equations? 3b 7b 3b + 6 7b − 1

Answers

Answer 1
The answer is c, or 3b+6!!

Related Questions

How to divide fractions with whole numbers

Answers

To divide fractions with whole numbers, write the whole number as a fraction, then it should be more solveable
To divide fraction with whole number write the whole number as a fraction like write 2 as 2/1. 


Hope this helps.

Malik solved this system of equations.

2x+4y=24
5x+y=15

As the first step, he decided to solve for x in the first equation because it has a small, even number for the coefficient. Jill told him there was a more efficient way. What reason can Jill give for her statement?

A.The variable y in the second equation has a coefficient of one so there will be fewer steps to the solution.
B. The variable x in the second equation has a coefficient of 5 so it will be easy to divide 15 by 5.
C. The variable y in the first equation is divisible by 2 so it will be the most efficient way to start.
D. The variable y in the first equation has a larger even number. When dividing by 4, the solution will be a smaller number.

Answers

The variable y in the 2nd equation has a coefficient of 1...so there will be fewer steps to the solution

The variable y in the second equation has a coefficient of one so there will be fewer steps to the solution.

System of equations

Given the simultaneous equation

2x+4y=245x+y=15

The best way to solve this kind of equation is by the substitution method. To do that in an easy way, you can locate which of the variables in the equations has a coefficient of 1.

From equation 2, we can see that the variable "y' has a coefficient of 1, hence the reason that Jill can give for her statement is that the variable y in the second equation has a coefficient of one so there will be fewer steps to the solution.

Learn more on simultaneous equations here: https://brainly.com/question/16863577

Helppppp! Which answer choice correctly describes the relationship between two of the lines in the figure?

Answers

I would have to say that it is the 3rd answer choice due to the right angle that is formed between line C and line A. 
The correct answer is:  [C]:   " а ⊥ с " .
_____________________________________________________________
Take note of the "right angle" — which indicates that "a" is perpendicular to "c" .
_____________________________________________________________

The length of a rectangle is twice its width. if the perimeter of the rectangle is 36 cm , find its area.

Answers

L = Length
W = Width

L x W = area
Length = 2w

Lets find the width by solving for w.
2w + w = 36 
3w = 36
3w/3 = 36 / 3 
w = 12

So
L = 2 x 12 = 24
W = 12
L X W = area
24 x 12 = 288 cm^2

Factor x2a2 + 3xa2 + 2a2

Answers

I'm going to assume the equation is x^2 a^2 + 3x a^2 + 2a^2

You factor out the common term, which is a^2.
You would then get a^2(x^2+3x+2) as the answer.
Factor out (x^2+3x+2)

a^2(x+1)(x+2)

Find the cost of twelve $1,000 bonds at a quotation of 84.50.

Answers

What we have so far:
*12 bonds
*1 bond = $1,000
*Quotation of 84.50% per bond ($845 each).

What to find:
*QT - Quotation Total. QT = (12 x $1,000) x Quotation
*TC - Total Cost. TC = (12 x $1,000) + QT

Solution:
Finding QT:
QT = (12 x $1,000) x Quotation
QT = (12 x $1,000) x 84.50%
QT = $12,000 x 84.50%
QT = $10,140

Finding TC:
TC = (12 x $1,000) + QT
TC = (12 x $1,000) + $10,140
TC = $12,000 + $10,140
TC = $22,140 <--- What we are looking for.

Therefore, the total cost of twelve $1,000 bonds at a quotation of 84.50% is: $22,140.

Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and through the x axis at 6. The other line passes through the y axis at negative 3 and the x axis at 1.5. The lines intersect at the point 3 comma 3. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at 6. The other line passes through the y axis at 3 and the x axis at negative 1.5. The lines intersect at 1 comma 5. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at negative 3 and the x axis at negative 1.5. The lines intersect at negative 3 and 3. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at 3 and the x axis at 1.5. The lines intersect at negative 1 comma 5.

Answers

The lines are 

i)  y=-x+6
ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

substitute x=3 in either i) or ii):

i)  y=-3+6=3
ii) y=2(3)-3=6-3=3

(the result is the same, so checking one is enough)

This means that the point (3, 3) is a point which is in both lines, so a solution to the system.

In graphs, this means that the lines intersect at (3, 3) ONLY


Answer: The graph where the lines intersect at (3, 3)

The point of intersection of the lines  y = −x + 6 and y = 2x − 3 is (3, 3)

Linear function

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Given the equations:

y = −x + 6    (1)

y = 2x − 3      (2)

Solving the equations 1 and 2 simultaneously gives:

x = 3, y = 3

The point of intersection of the lines  y = −x + 6 and y = 2x − 3 is (3, 3)

Find out more on Linear function at: https://brainly.com/question/2248255

I NEED THIS ANSWER NOWWWW PICTURE ATTACHED



Which system of inequalities is represented by the graph?

y ≤ 3x
y > –2x – 1
y > 3x
y ≤ –2x – 1
y < –3x
y ≥ 2x – 1
y > –3x
y ≤ 2x – 1

Answers

So first, you need to notice the blue line is y = 2x, and the other one is y = -2x - 1

For the purple area, let's choose a point (1,0), which is in the area. 

For y = 2x -> 2 >0, so the inequality will be y ≤2x

For y = -2x - 1 -> -3 < 0, so the inequality will be y ≥ -2x - 1

You can use the similar approach to find other area representations


Find the area of a rectangular almond orchard that is 200 yards long and 100 yards wide.
300 square yards
2100 square yards
2000 square yards
20000 square yards

Answers

A = L * W
A = 200 * 100
A = 20,000 square yards

what is the smallest positive integer that is divisible by each of the integers from 3 to 7, inclusive

Answers

The integers from 3 to 7, inclusive are:

{3, 4, 5, 6, 7}

these numbers can be written as multiplication of prime factors as :

{3, 2*2, 5, 2*3, 7}

The smallest common multiple of these numbers must have factors which divide all the factors of these 5 numbers.

So the multiple must have these factors: 3, 2*2 (one two is not enough to divide 4), 5 and 7. We do not need to write 2 and three again, because we already have them.

so the smallest common multiple is 3*2*2*5*7=420


Answer: 420

What is the graph of x = -5?

Answers

hello: 
the graph is the line parralle of axis- y passing by the point : (-5 , 0 ) 

WILL MAKE BRAINLIEST!!! A triangular section of a lawn will be converted to river rock instead of grass. Maurice insists that the only way to find a missing side length is to use the Law of Cosines. Johanna exclaims, that only the Law of Sines will be useful. Describe a scenario where Maurice is correct, a scenario where Johanna is correct, and a scenario where both laws are able to be used. Use complete sentences and example measurements when necessary.

Answers

Let's consider the triangle ABC shown in the first diagram below. We name the sides with small letters: a, b, and c. We name the angles by the capital letters A, B, and C. Side a pairs with angle A° which are opposite each other. The same with side b and angle B° and side c and angle C°.

We can use the cosine rule when we know the length of two sides and the angle opposite the side that is unknown. For example, referring to the second diagram, we know the length of side a and side b and we are looking for the length of side c. We also know the angle that is located on the opposite of side c, then to solve this we can use the cosine rule

c² = a² + b² - 2ab(cos(C°))

The third diagram shows a scenario when sine rule can be used. Say we need the length of the side c. We know the length of side a, the size of angle A° and angle C° then we can use the sine rule

[tex] \frac{c}{sin(C)} = \frac{a}{sin(A)} [/tex]

We can also use sine rule if we know length of side b and the size of angle B° instead of side a and angle A°





Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a downward sloped line crossing the y axis at two that ends at the open point 2, 1.3, a closed point at 2, -1, and an upward sloped line starting at the open point 2, 4. Find = limit as x approaches two from the right of f of x..

Answers

Answer: The right hand limit is 4

-------------------------------

Start on the right side of the value x = 2. In other words, start at some value larger than 2, say x = 4. Starting at x = 4, move closer to x = 2. Move as close as you can. The closer x gets to 2, the closer y gets to 4. You'll never actually get to x = 2 or y = 4 because of the hole. However, the right-hand limiting value is 4 assuming you can keep getting closer and closer. 

Note: if you approach x = 2 from the left side, you arrive at a different y value So this suggests that overall, the limit at x = 2 doesn't exist. But the right hand limit (RHL) does exist as described above.

In a horse​ race, how many different finishes among the first 33 places are possible if 20 horses20 horses are​ running? (exclude​ ties)

Answers

To solve this problem, let us break this down one by one.

There are 20 possible horses that could win in first place. Therefore this means that for each of these possibilities, there are now 19 horses that could come in second. So meaning there are 20 x 19 possible combinations for the first 2 places. 

20 x 19 = 380. And for each of those combinations, there are also 18 possible horses that could come in the third place. So

20 x 19 x 18 = 6,840 

There are 6,840 possible horse combinations for the first 3 places in the race. 

The graph represents the piecewise function

Answers

left equatoin seems to be x is less than or equal to -1
the slope seems to be 2 and y intercep tis -1 so 2x-1


right equation is x is greater than or equal to 1
slope is 1 and y intercept is 4 so x+4




top left blank is x+4, top right blank is x is greater than or equal to 1
bottom left blank is 2x-1, bottom right blank is x is less than or equal to -1
Answer:

Hence, we have:

        f(x)= 2x-1   when  x ≤ -1

                x+4    when  x ≥ 1

Step-by-step explanation:After looking at the graph we observe that in the region:  x ≤ -1

The graph is a straight line that passes through (-1,-3) and (-2,-5)

Hence, the equation of line is:

[tex]f(x)-(-3)=\dfrac{-5-(-3)}{-2-(-1)}\times (x-(-1))\\\\\\f(x)+3=\dfrac{-5+3}{-2+1}\times (x+1)\\\\\\f(x)+3=2(x+1)\\\\\\f(x)=2x+2-3\\\\\\f(x)=2x-1[/tex]

Also, in the interval  x ≥ 1

The graph is a straight line that passes through (1,5) and (2,6)

Hence, the equation of line is:

 [tex]f(x)-5=\dfrac{6-5}{2-1}\times (x-1)\\\\\\f(x)-5=x-1\\\\\\f(x)=x-1+5\\\\\\f(x)=x+4[/tex]

What's an equation for "Six more then twice a number is 72?"

Answers

the equation would be:

2x+6 = 72

2n + 6 = 72 <== ur equation

What is the answer to

-18= 117/p-9

Answers

-18 = 117/(p-9)
(p-9)(-18) = 117
p-9 = 117/-18
p = (117/-18) +9
p = 2.5
Hey there!

So here are the steps you need to follow to get the answer!

-18 = 117/(p - 9)
-18(p - 9) = 117    ----->  multiply "(p - 9)" on both sides
-18p + 162 = 117   ------>  distribute the "-18"
-18p = -45  ------>  subtract "162" on both sides
p = 2.5   ------>  divide "-18" on both sides

I hope this helps! :D

Please vote me for Brainliest if there is a second answer!!!

In a restaurant there are 3 choices for appetizers, 6 choices for entrees, and 4 choices for desserts. How many different meal choices are there if you were to have 1 appetizer, 1 entree, and 1 dessert?
24
72
13
18

Answers

The correct answer is B. 72 because you can multiply 3*6*4 to represent every combination possible.

Where are the x-intercepts for f(x) = −4cos(x − pi over 2) from x = 0 to x = 2π? (?

Answers

consider the function [tex]f(x)=-4cos(x- \frac{ \pi }{2})[/tex]

the x-intercepts of the graph of f, are the zeros of f, that is the solutions of f(x)=0.

so we solve 

[tex]-4cos(x- \frac{ \pi }{2})=0[/tex]

[tex]cos(x- \frac{ \pi }{2})=0[/tex]

at this point we ask ourselves, keeping the unit circle in mind, "cosine of what is 0?"

In the unit circle, from 0 to 2π radians,

cos 90° = cos (π/2) rad = 0

and

cos 270° = cos (3π/2) rad = 0

this means that 

i)
[tex]x- \frac{ \pi }{2}= \frac{ \pi }{2}[/tex]

[tex]x= \pi [/tex]

and 

ii)
[tex]x- \frac{ \pi }{2}= 3\frac{ \pi }{2} [/tex]

[tex]x=3\frac{ \pi }{2} +\frac{ \pi }{2}=2 \pi [/tex]

ii) also, check that [tex]f(0)=-4cos(0- \frac{ \pi }{2})=-4cos(-\frac{ \pi }{2})[/tex] is also 0, because cos (-pi/2)= cos (-90°)=cos 270°=0


Answer: 

x=0, x=π, and x=2π

[tex]-2y + y - 3 = 6
[/tex]

Answers

Combine like terms. -2y+y=-y. The equation is now -y-3=6. You need to get the y by itself so add 3 to both sides. The equation is now -y=9. You are solving for y so divide both sides by -1. The equation will be y=-9. The answer is y=-9. Hope this helps! ;)

posting a screenshot my loves

Answers

(x-blank)^2 because -14 is negative 

For (x-7)^2, we have -7 because it's -14/7. Next, 7^2=49, so we have to add 49 to the right, getting (x-7)^2+43=49. Subtract 43 from both sides to get
 (x-7)^2=6, and square root both sides to get x-7=sqrt(6) and add 7 to both sides to get x=sqrt(6)+7, which is approximately 9.45. I challenge you to do the next one on your own, using the techniques stated here :)

The graph shows the location of Jacob's, Kent's, and Hakim's houses. Each unit on the graph represents 1 kilometer. A coordinate plane is shown. Hakims house is located at negative 3, 1, Jacobs house is located at 1, 5, and Kents house is located at 1, 1. Line segments connect the points to form a right triangle.

Answers

The distance between any two points is:

d^2=(x2-x1)^2+(y2-y1)^2  so in this case we have:

d^2=(5-1)^2+(1-3)^2,  d^2=(1-5)^2+(1-1)^2, d^2=(1-3)^2+(1-1)^2

d^2=(16+4), d^2=16, d^2=4

So the total distance or perimeter, p, is:

p=√20+√16+√4

p=√20+4+2

p=6+√20 km (exact)

p≈10.47 km (to nearest hundredth of a kilometer)



Answer:

14 km

Step-by-step explanation:

I did FLVS

Angie baked 100 cookies and 20 brownies. She wants to  split them into equal groups  for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make? Angie baked 100 cookies and 20 brownies. She wants to  split them into equal groups  for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make? Angie baked 100 cookies and 20 brownies. She wants to  split them into equal groups  for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make? 

Answers

stop copying the question, it's confusing

so 100 cookies and 20 brownies
what is the greatest number you can divide them both by?

find the GCF
factor them
100=2*2*5*5
20=2*2*5
so the GCF is the common group to both or 2*2*5 or 20

100/20=5
20/20=1

there are 20 groups, each wit 5 cookies and 1 brownie


20 groups

If the problem is 7+(-5) how many spaces do you move to the right or left

Answers

Start at seven and move 5 spaces to the left.

Addition of a negative is the same as subtraction.

Solve the equation using square roots. x^2-15=34

Answers

Hello there!

First, let's take a look at our equation.
[tex] x^{2} [/tex] - 15 = 34
We need to isolate x^2 to completely square root both sides properly, so let's do so.
Add 15 to both sides to isolate [tex] x^{2} [/tex].

We are now left with:
[tex] x^{2} [/tex] = 49
Now, square root both sides.
[tex] \sqrt{x^2} [/tex] = x
[tex] \sqrt{49} [/tex] = 7

We are now left with the solution:
x = 7

I hope this helps!
X^2-15=34 add 15 to both sides
X^2=49 square both sides
X=7

Find an equation for the nth term of the arithmetic sequence.

a15 = -53, a16 = -5

A) an = -725 - 48(n - 1)
B) an = -725 + 48(n + 1)
C) an = -725 + 48(n - 1)
D) an = -725 - 48(n + 1)

Answers

an=a1+d(n-1)

every term increases by d amount

so [tex]a_n+d=a_{n+1}[/tex]
therefor
[tex]a_{15}+d=a_{15+1}=a_{16}[/tex]

-53+d=-5
add 53 both sides
d=48

alright
an=a1+d(n-1)
an=a1+48(n-1)
use a15=-53
a15=-53=a1+48(15-1)
-53=a1+48(14)
-53=a1+672
minus 672 both sides
-725=a1

the equation is
an=-725+48(n-1)
answer is C

What is the slope of this line y + 3 = -4(x - 5)?

Answers

y+3= -4x+20
y=-4x+17

Final answer: Slope=-4

Just a side note: This is written in point slope form or y-y1= m(x-x1). You could just look at the m value to find slope.

Which of the numbers listed below are solutions to the equation? Check all that apply. x2 = -36 A. 6 B. 1296 C. 18.0 D. 72 E. -6 F. None of these

Answers

When x^2 = -36, so -36 equals to x when squared.

So, to find the x square root both terms. But you can't. Why? Because we have a negative number, and you can't do the sqrt of a negative number. So, none of the above is the answer. Non-solvable

There are 325 students in ping pong club. There are 5 girls for every 7 boys in the club. Which is the correct proportion that can be used to determine the number of girls in the club?

Answers

It is 5 to 7 people eliminating A and C automatically. and because it is 5 to 7 and not 7 to 5 it eliminates B too.

Answer: D

Hope this helps :)
Please give brainliest
Final answer:

To find the number of girls in the club, you can set up a proportion using the given information. Cross-multiply the proportion and solve for the number of girls. The approximate number of girls in the club is 232.

Explanation:

To determine the number of girls in the club, we can set up a proportion using the given information. Since there are 5 girls for every 7 boys in the club, the proportion can be written as:

Girls/Boys = 5/7

To find the number of girls, we can solve the proportion by cross-multiplying:

Girls = (5/7) * Total Number of Students

Substituting the given total number of students as 325, we can calculate the number of girls in the club as:

Girls = (5/7) * 325

Girls = 232.14

Therefore, there are approximately 232 girls in the ping pong club.

Learn more about Determining the number of girls in a club here:

https://brainly.com/question/21322206

#SPJ12

"It was you who awoke me last summer out of a life-long stupid dream" write the conclusion for this quote

Answers

The person that "awoke [the author]" helped change the authors life around and helped him find the purpose for his life

hope this helps
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