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FromTheMoon [43]
3 years ago
5

Which function is the inverse of f(x) = -5x - 4

Mathematics
1 answer:
Rzqust [24]3 years ago
5 0

Answer:

f-¹(x) = -⅕x - ⅘

Step-by-step explanation:

f(x) = -5x - 4 → x = -5y - 4 → 5y = - x - 4 → y = -⅕x - ⅘ → f-¹(x) = -⅕x - ⅘

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The graph is not a straight line, it is curved. You can observe this only if you include the point (1,0), which is the level at the begining (100%)

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The measure of angle 3 is 42 degrees​
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Angle 1 is equal to 48°
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Solve 9,159 divided by 7
aniked [119]

Answer:

(9159 / 7 = 1308.429)

Step-by-step explanation:

Simply multiply the last digit by 2 and then subtract the product from the remaining digits.

If that difference is divisible by 7, then 9159 is divisible by 7.

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915 - (9 x 2) = 897

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Therefore, the answer to "Is 9159 Divisible By 7?" is no.

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5 0
3 years ago
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Write an equation that represents the relationship between
kykrilka [37]

Complete Question:

Write an equation that represents the relationship between <FCB and <GBC

Answer:

m<FCB = m<GBC

Step-by-step explanation:

Given that GE is parallel to HF, and AD crosses both, thus:

<FCB and <GBC are alternate interior angles.

Alternate interior angles are congruent.

Therefore, the equation that represents the relationship between <FCB and <GBC would be:

m<FCB = m<GBC

4 0
3 years ago
Vertex of x^2 + 6x + 17
jekas [21]

We have: f(x)=x^2+6x+17

Method 1.

Use: (*)\ \ \ \ \ (a+b)^2=a^2+2ab+b^2

and the vertex form f(x)=a(x-h)^2+k

(h, k) - the coordinates of a vertex

x^2+6x+17=x^2+2\cdot x\cdot3+17=\underbrace{x^2+2\cdot x\cdot3+3^2}_{(*)}-3^2+17\\\\=(x+3)^2+8\to h=-3;\ k=8

Answer: (-3, 8)

Method 2.

For f(x)=ax^2+bx+c the coordinates of a vertex (h, k) are equal

h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(b^2-4ac)}{4a}

We have: f(x)=x^2+6x+17\to a=1;\ b=6;\ c=17

Substitute:

h=\dfrac{-6}{2\cdot1}=\dfrac{-6}{2}=-3\\\\k=f(-3)=(-3)^2+6(-3)+17=9-18+17=8

Answer: (-3, 8)

5 0
4 years ago
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