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3 years ago

Write the linear equation in slope-intercept from the information given.

Mathematics

1 answer:

alexandr1967 [171]3 years ago

4 0

Answer:

B) y = -3x+2

Step-by-step explanation:

plug (2,-4) and -3 into y = mx + b to find 'b'

-4 = -3(2) + b

b = -4+6 = 2

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Simplify (8m2+m+7m2)-(3m-4m3+2m2)

kondaur [170]

$(8m^2+m+7m^2)-(3m-4m^3+2m^2)\\\\=8m^2+m+7m^2-3m+4m^3-2m^2\qquad|\text{combine like terms}\\\\=(4m^3)+(8m^2+7m^2-2m^2)+(m-3m)\\\\=4m^3+13m^2-2m$

4 0

3 years ago

Evaluate the function k(x)=5 for the given value of x. Simplify your answer.

coldgirl [10]

Answer:

Step-by-step explanation:

k(x)=5 says I'm 5 no matter the value of x...

So therefore

k(-4)=5

k(56)=5

k(66378)=5

k(whatever)=5

k(x) is constantly 5 for whatever input x.

4 0

2 years ago

Examine the diagram.

aniked [119]

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

Using the information in the picture, 132 is an outside angle and x and (3x-24) are the two opposite inside angles.

Setting up the equation you would have: 132 = x + (3x-24)

Now solve for x:

132 = x + (3x-24)

Simplify:

132 = 4x -24

Add 24 to both sides:

156 = 4x

Divide both sides by 4:

x = 156/4

x = 39

8 0

3 years ago

Read 2 more answers

A baker is using a cookie that calls for 2 1/4 cups of flour to yield 36 cookies, how much flour will the baker neeto to make 90

andre [41]

Answer:

$5 \frac{5}{8}$ cups

Step-by-step explanation:

Given: A baker is using a cookie that calls for 2 $\frac{1}{4}$ cups of flour to yield 36 cookies.

To find the number of flour will the baker need to make 90 cookies, we form a proportion.

Let's convert 2 $\frac{1}{4}$ to improper fraction.

$2\frac{1}{4} = \frac{(2*4) + 1}{4} = \frac{9}{4}$

Let "x" be the amount flour to make 90 cookies

<u>Amount of Flour</u> <u>Number of cookies</u>

$\frac{9}{4}$ 36

x 90

Now form a proportion.

$\frac{\frac{9}{4}}{x} = \frac{36}{90}$

Now let's cross multiply, we get

$\frac{9}{4} *90 = 36x\\\$

$\frac{810}{4} = 36x\\x = \frac{810 }{4*36} \\x = \frac{810}{144} \\\\x = 5 \frac{90}{144}$

Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get

x = $5 \frac{5}{8}$ cups

So the baker needs $5 \frac{5}{8}$ cups to make 90 cookies.

3 0

3 years ago

In ΔSTU, u = 23 inches, ∠T=158° and ∠U=17°. Find the length of t, to the nearest 10th of an inch.

Evgesh-ka [11]

Answer: t = 29.5 inches

Step-by-step explanation:

Given that the ΔSTU, u = 23 inches, ∠T=158° and ∠U=17°.

We can Find the length of t by using sine rule

t/saint = u/sinU

t/sin158 = 23/sin17

t = sin158 × 23/sin17

t = 29.47 inches

t = 29.5 inches

7 0

3 years ago