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2 years ago

Which equation represents a line that passes through (2, - 1/2) and has a slope of 4 ?

Mathematics

1 answer:

solmaris [256]2 years ago

7 0

Answer:

y=4x-8.5

Step-by-step explanation:

Use point- slope form, since you are given one point and one slope.

y-y₁=m(x-x₁)

Plug coordinates and slope in.

y-(-1/2)=4(x-2)

Solve

y+1/2=4x-8

y=4x-8.5

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If AD=20 and AC=3x+4, find the value of x. Then find AC and DC. I don't understand.

Fofino [41]

Using the information we have 3x+4=40 Do the same to each side of the equation to eliminate for x. 3x+4=40 Minus 4 from each side 3x=40-4 3x=36 Divide 3 from each side x=36/3 x=12 AC=3x+4 insert the value of x 3(12)+4=40 AC=40 AD=20

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3 years ago

Solve the compound inequality 10 >= 7 + 3x and 9-4x<=1 . show steps please.

pav-90 [236]

10 >= 7 + 3x -4x+9<=1
-7 >= -7 - subtract 7 -9<=-9 - Subtract 9
__________ ___________
3 >=3x - divide by 3 -4x<=-8 - divide by -4

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2 years ago

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Find the inverse function of <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%209%20%2B%20%20%5Csqrt%7B4x%20-%204%7D%20" id=

Vedmedyk [2.9K]

Answer:

$\displaystyle {f}^{ - 1}(x) = \frac{1}{4} (x - 18x + 85)$

Step-by-step explanation:

we would like to find the inverse of the following function:

$\displaystyle f(x) = 9 + \sqrt{4x - 4}$

to do so substitute y for f(x):

$\displaystyle y= 9 + \sqrt{4x - 4}$

interchange variables:

$\displaystyle x= 9 + \sqrt{4y - 4}$

cancel 9 from both sides:

$\displaystyle \sqrt{4y - 4} = x - 9$

square both sides:

$\displaystyle 4y - 4= x - 18x + 81$

add 4 in both sides:

$\displaystyle 4y = x - 18x + 85$

divide both sides by 4:

$\displaystyle y = \frac{1}{4} (x - 18x + 85)$

substitute back:

$\displaystyle {f}^{ - 1}(x) = \frac{1}{4} (x - 18x + 85)$

and we're done!

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2 years ago

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stealth61 [152]

Answer:

1. 432

2. 30

3. 1875

4. 250

Step-by-step explanation:

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2 years ago

What is f(–3) for the function f(a) = –2a2 – 5a + 4?

tino4ka555 [31]

Follow the order of operation (PEMDAS) giving you 31

4 1

2 years ago

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