MATHEMATICS MIDDLE SCHOOL

What is the equation in point-slope form of the line that passes through the points (7, 5) and (−4, −1)? y + 1 = 6/7 (x+4)
y + 4 = 11/6 (x+1)
y − 1 = 6/11 (x−4)
y + 1 = 6/11 (x+4)

Answers

Answer 1

Answer:

The point-slope form:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

The formula of a slope:

$m=(y_2-y_1)/(x_2-x_1)$

We have the points (7, 5) and (-4, -1). Substitute:

$m=(-1-5)/(-4-7)=(-6)/(-11)=(6)/(11)$

$y-(-1)=(6)/(11)(x-(-4))\n\n\boxed{y+1=(6)/(11)(x+4)}$

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36 is what percent of 120
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If y = 4x -1, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?O {(2,5), (4, 12), (9,25)O{(-3,-10), (0, -2), (6, -18)}O {(7,24).(-1,-9), (-8, 35){(1,3), (-2, -9), (0, -1)}
Write a word phrase for each algebraic expression 25-0.6x

-8y + 6 + 4y >14 I don't understand this question I got 4y> but I don't think this is correct

Answers

so
try to get the placeholder by itself
add like terms
-8y+4y+6>14
-4y+6>14
subtract 6 from both sdies
-4y>8
multiply by -1
remember if multiply by -1 then flip sign
4y<8
divide by 4
y<2

so y<2

-8y+6+4y>14

-4y+6>14

-4y>8

- Find all multiples of 6 up to 75

Answers

6,12,18,24,30,36,42,48,54,60,66,72,

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

Step-by-step explanation:

Just keep adding 6 until you get to 75.

6 + 6 = 12

6 + 6 + 6 = 12 + 6 = 18

......

4. Ellie uses 12.5 pounds of potatoes to make mashed potatoes. She uses one-tenth as many pounds of butter as potatoes. How many pounds of butter does Ellie use?

Answers

1.25 pounds (sorry i had to use more characters)

Given the functions below, what is f(x)−g(x) ?f(x)=7x3−10x2−5g(x)=2x3+7x2−9
A
5x3−17x2+4

B
5x3−3x2−14

C
9x3−3x2−14

D
5x3−17x2−14

Answers

Answer:

f(x)-g(x)=5x^3-17x^2+4 which appears as option A

Step-by-step explanation:

Simply subtract the function's expressions as shown below, and combine like terms to express the final result:

$f(x)=7x^3-10x^2-5\ng(x)=2x^3+7x^2-9\nf(x)-g(x)=7x^3-10x^2-5-[2x^3+7x^2-9]\nf(x)-g(x)=7x^3-10x^2-5-2x^3-7x^2+9\nf(x)-g(x)=7x^3-2x^3-10x^2-7x^2-5+9\nf(x)-g(x)=5x^3-17x^2+4$

16. The temperature on the ground during a plane's takeoff was -7°F. At 38,000 feet in the air, the temperatureoutside the plane was -29°F. Find the difference between these two temperatures.a. 36 FC. -22°Fb. 36°Fd. 22 F