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3 years ago

What is the inverse of the function f(x) = 2x – 10?

1 answer:

4 0

$\bf f(x)=\boxed{y}=2\boxed{x}-10\qquad inverse\implies =\boxed{x}=2\boxed{y}-10\impliedby f^{-1}
\\\\\\
x+10=2y\implies \cfrac{x+10}{2}=y\implies \cfrac{x}{2}+\cfrac{10}{2}=y
\\\\\\
\cfrac{x}{2}+5=y=f^{-1}(x)$

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The measure of _A is 18° greater than the measure of _B. The two angles are complementary. Find the

kozerog [31]

Answer:

angle A=54 degree

angle B =36 degree

Step-by-step explanation:

let angle B be x

angle A=x+18

since they are complementary angles sum of these two angles will be 90 degree

x+x+18=90

2x=90-18

2x=72

x=72/2

x=36 degree

substitute the value of x to find angle A and angle B

for angle A

x+18

36+18

54 degree

for angle B

angle B =x

=36 degree

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3 years ago

Help need it asap plessss

Dennis_Churaev [7]

Answer:

C) $14.2

Step-by-step explanation:

$3 is flat value. minimum price. $0.8 per mile for 14 miles is 0.8x14 which equals to 11.2. Add $3 and get $14.2.

7 0

2 years ago

Read 2 more answers

Write the phrase as an expression<br> the quotient of 22 and a number a

RideAnS [48]

I believe the Answer is a/22 ( that’s a fraction )

5 0

3 years ago

Quadratic equations and complex numbers PLEASE HELPPPP ASAP

kondor19780726 [428]

we are given

$27x^3-1=0$

we can also write it as

$(3x)^3-(1)^3=0$

now, we can use factor formula

$a^3-b^3=(a-b)(a^2+ab+b^2)$

we can use above formula

we get

$(3x)^3-(1)^3=(3x-1)((3x)^2+3x\times 1+(1)^2)$

now, we can simplify it

$27x^3-1=(3x-1)(9x^2+3x+1)$

now, we can set it to 0

$27x^3-1=(3x-1)(9x^2+3x+1)=0$

and then we can solve for x

$(3x-1)(9x^2+3x+1)=0$

$3x-1=0$

$x=\frac{1}{3}$

$9x^2+3x+1=0$

now, we can use quadratic formula

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

now, we can plug values

and we get

$x=\frac{-3\pm \sqrt{3^2-4\cdot \:9\cdot \:1}}{2\cdot \:9}$

$x=-\frac{1}{6}+i\frac{\sqrt{3}}{6},\:x=-\frac{1}{6}-i\frac{\sqrt{3}}{6}$

So, we will get solution as

$x=\frac{1}{3},\:x=-\frac{1}{6}+i\frac{\sqrt{3}}{6},\:x=-\frac{1}{6}-i\frac{\sqrt{3}}{6}$ ...............Answer

5 0

3 years ago

Write an equation of the line passing through point P(0, −1)P(0, −1) that is parallel to the line y = −2x+3y = −2x+3.

bija089 [108]

Answer:

y = - 2x - 1

Step-by-step explanation:

Assuming the line has equation y = - 2x + 3

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 3 ← is in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes, thus

y = - 2x + c ← is the partial equation

Note the line passes through (0, - 1) ⇒ c = - 1

y = - 2x - 1 ← equation of parallel line

6 0

3 years ago