Solve linear system using substitution

y=6-2x
7x-y=3

Answers

Answer 1

Answer: $\left \{ {{y=6-2x} \atop {7x-y=3}} \right. \n\nsubstitute\ first\ equation\ into\ the\ second\n\n7x-(6-2x)=3\n\n7x-6+2x=3\n\n9x-6=3\ \ \ | add\ 6\n\n9x=9\ \ \ | divide\ by\ 9\n\nx=1\n\ny=6-2*1=6-2=4$

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Help with number 4!!

Does a rectangular prism with more surface area than the other also have more volume

Answers

Yes; If it has more surface area, it is bigger, which means that there is more volume total.

Yes, because there is more surface area therefore it can hold more volume

A greyhound can go from a state of resting to running at 19.44 meters per second in 1.54 seconds. What is the greyhound's average acceleration. A.
29.94 m/s

B.
29.94 m/s²

C.
12.62 m/s

D.
12.62 m/s²

Answers

The greyhound's average acceleration will be;

⇒ Acceleration = 12.62 m/s²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A greyhound can go from a state of resting to running at 19.44 meters per second in 1.54 seconds.

Now,

Since, A greyhound can go from a state of resting to running at 19.44 meters per second in 1.54 seconds.

Hence, Initial velocity = 0

Final velocity = 19.44 meter per second

And, Time = 1.54 seconds

Since, Acceleration = Change in velocity / Time

Hence, We get;

⇒ Acceleration = Change in velocity / Time

⇒ Acceleration = (19.44 - 0) / 1.64

⇒ Acceleration = 19.44 / 1.64

⇒ Acceleration = 12.62 m/s²

Thus, The greyhound's average acceleration will be;

⇒ Acceleration = 12.62 m/s²

Learn more about the mathematical expression visit:

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Use the acceleration formulae:\[Final velocity (v) - Initial velocity (u) / time taken\]
so it is A

Please answer and put how

Answers

6 + m/4 = 3 (subtract 6 from both sides)
m/4 = -3 (multiply both sides by 4)
m = -12

Can plug in to original equation to check work:
6 - 12/4 = 3
6 - 3 = 3
3 = 3

The answer m = -12 checks out

first you write out the equation
subtract 6 from both sides
then multiply both sides by 4
because if you multiply something to one side you have to do it to the other one too
m = -12
you can then check work like this
6 - 12/4 = 3
6 - 3 = 3
3 = 3

(m = -12 subtract 6 from both sides)
(m/4 = -3 then you multiply both sides by 4)

Using line plot write a number sentence to find the range of the data

Answers

To find the range of data you would have to subtract the smallest number from the largest number in the set. to do this on a number line you would have to find two points on a number line and subtract those two numbers

What is the simplified expression for the perimeter of the triangle with the length 5x -7, 3x-4, and 2x-6