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3 years ago

Select the correct answer(click the photo)

Mathematics

1 answer:

MatroZZZ [7]3 years ago

3 0

Answer:

General Formulas and Concepts:

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define function

f(x) = 8x + 4

Step 2: Prep

Rewrite: y = 8x + 4
Swap x and y: x = 8y + 4

Step 3: Find Inverse (Solve for y)

Subtract 4 on both sides: x - 4 = 8y
Divide both sides by 8: (x - 4)/8 = y
Rewrite: y = (x - 4)/8
Rewrite: f⁻¹(x) = (x - 4)/8

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A rectangle has a length that is 8 less than its width, w. The perimeter is 52. Which equation can be used to determine its

Juliette [100K]

Answer:

2(w-8) +2w=52

its perimeter so u multiply everything by 2 and since u dont know the length but know its 8 less u subtract by width

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3 years ago

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HELP ASAP -5 - k = -12 K=?

alexandr1967 [171]

The answer is K= 7 because
-5-7=-12

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3 years ago

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PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

(h, k) - vertex

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of a using $k+\dfrac{1}{4a}$

k = -5

$-5+\dfrac{1}{4a}=-4$ add 5 to both sides

$\dfrac{1}{4a}=1$ multiply both sides by 4

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

use the distributive property: a(b+c)=ab+ac

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

3 0

3 years ago

Solve the following inequality: n + 6 is less than or equal to 3

Rainbow [258]

Answer:

n+6 is less than or equal to 3

Step-by-step explanation:

this answer is n is less than or equal to -3

4 0

3 years ago

Can someone help me please

soldier1979 [14.2K]

Step-by-step explanation:

c >= 2

that means any value of c greater or equal to 2 is a valid solution. so, yes, 2 is a solution for this.

c < 2

that means any value of c smaller than 2 is a valid solution. so, no, 2 is not smaller than 2, so it is not a solution.

c < 3

that means any value of c smaller than 3 is a valid solution. so, yes, 2 is smaller than 3, so 2 is a solution.

3 < c

that means any value of c, for that 3 is smaller, is a valid solution. our in other words, any value for c larger than 3 is a valid solution. so, no, 2 is not larger than 3, so it is not a solution.

-8 < c

that means any value of c, for that -8 is smaller, is a valid solution. our in other words, any value for c larger than -8 is a valid solution. so, yes, 2 is larger than -8, so it is a solution.

5 0

2 years ago