MATHEMATICS HIGH SCHOOL

*** Solve 2x + y = 7 for y.​

Answers

Answer 1
Answer:

Answer:

y = 7 - 2x

Step-by-step explanation:

Start with the equation: 2x + y = 7.

To isolate y, you can subtract 2x from both sides of the equation:

2x + y - 2x = 7 - 2x.

The 2x on the left side cancels out, leaving you with:

y = 7 - 2x.

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Find the slope of the line that passes through:
(-2,-5) and (8, -11)

Answers

Answer:

Slope=  (-3)/(5)

Step-by-step explanation:

(-2 , -5)  ; (8,-11)

Slope=(y_(2)-y_(1))/(x_(2)-x_(1))\n\n=(-11-[-5])/(8-[-2])\n\n=(-11+5)/(8+2)\n\n=(-6)/(10)\n\n=(-3)/(5)

Find geometric mean between 3 and 6

Answers

geometric\ mean\ between \ a\ and\ b\ = √(a\cdot b) \n----------------------\n\ngeometric\ mean= √(3\cdot6) = √(3\cdot3\cdot2) =3\cdot √(2)
Call the geometric mean ' G '.

Then (3 / G) = (G / 6)

This is a proportion, and may be "cross-multiplied":

G² = 18

G = √18 = about 4.2426... (rounded)

How do you graph and work problem x+4y=16??

Answers

You have to give values to x or y to create points which can be represented on a system of axis. For example, for x=0 we would get 4y=16, so y=4 => A(0, 4). For y = 0 we would get x=16, so B(16, 0). I attached the graph

Answer: x = 4

Step-by-step explanation:

Clara drove 248 miles in 4 hours. what was her average rate of speed

Answers

Hi there, to solve this problem we divide 248 miles by 4 hours. Let's begin, 248 miles ÷ 4 hours = 62. Therefore, Clara's average rate of speed was 62.

How many 1-cm-diameter ball bearings can be made using 5.24 cm3 of molten steel?

Answers

D = 1 --> r = 0.5
V=4/3•pi•r^3 = 4/3•3.14•(.5)^3 = 0.52
5.24 / 0.52 = 10.01
So you can make 10 ball bearings out of that amount of steel.

What is the factored form of 2x3 + 4x2 – x?a) 2x ( x^2 + 2x + 1)
b) x (2x^2 + 4x + 1)
c) 2x (x^2 + 2x - 1)
d) x (2x^2 + 4x -1)

Answers

To solve this question, we need to write this equation in simplified form.
So, Taking the GCF from 2x³ + 4x² - x,  
x is divisible by all of them so our new equation will be,

x ( 2x² + 4x - 1)
Correct option is D.

Hope this helped you.. :)
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