All categories

4 years ago

Please help me answer this question. I have a quiz tomorrow :(

Mathematics

1 answer:

babymother [125]4 years ago

6 0

Answer:

Y E S

Step-by-step explanation:

You might be interested in

What is the inverse of the function g(x)=-\dfrac{2}{3}x-5g(x)=− 3 2 x−5g, left parenthesis, x, right parenthesis, equals, minu

Semenov [28]

Answer:

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Step-by-step explanation:

Given function,

$g(x) = -\frac{2}{3}x-5$

Step 1 : Replace g(x) by y:

$y = -\frac{2}{3}x-5$

Step 2 : Swap x and y:

$x = -\frac{2}{3}y-5$

Step 3 : Solve the equation for y ( isolate y in the left side ):

$x +\frac{2}{3}y=-5$

$\frac{2}{3}y=-5-x$

$y=\frac{3}{2}(-5-x)$

$y=-\frac{15}{2}-\frac{3}{2}x$

$y=-\frac{3}{2}x-\frac{15}{2}$

Step 4: Replace y by $g^{-1}(x)$ :

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Hence, the inverse of the function g(x) is $g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$ .

8 0

3 years ago

A blueberry pie is shot out of a pie cannon from a height of 6m and with a velocity of 60 m/s. How many seconds will pass before

sveta [45]

Answer: 1.106 s

Step-by-step explanation:

This situation is related to projectile motion and one the equation that models the height of the blueberry pie in time is:

$y=y_{o}+V_{o}sin(\theta) t-\frac{1}{2}gt^{2}$

Where:

$y=0 m$ is the blueberry pie final height (when it hits the ground)

$y_{o}=6 m$ is the blueberry pie initial height

$V_{o}=60 m/s$ is the blueberry pie initial velocity

$\theta=0 \°$ is the angle, assuming the pie was shot horizontally

$t$ is the time

$g=9.8 m/s^{2}$ is the acceleration due gravity

Rewriting the equation:

$0=y_{o}-\frac{1}{2}gt^{2}$

Isolating $t$ :

$t=\sqrt{\frac{2y_{o}}{g}}$

$t=\sqrt{\frac{2(6 m)}{9.8 m/s^{2}}}$

Finally:

$t=1.106 s$

5 0

3 years ago

Sara worked 24 hours last week. Joan worked for hours less than Sara, and Erin worked half as many hours as Joan. How many hours

Vaselesa [24]

Sara worked 1 day last week
Joan worked for 20 hours last week
And Erin worked for 10 hours last week

3 0

3 years ago

Solve expression completely.

SSSSS [86.1K]

Answer:

Step-by-step explanation:

(9 - 3)² - (5 . 4)⁰

= (6)² - (20)⁰

= 36 - 1

= 35

6 0

3 years ago

6. Courtney bought a shirt for $24 with a

7nadin3 [17]

let the original price be x.

then,

x- 25% of x= 24

x- 25x/100 = 24

x- x/4=24

3x/4=24

3x= 96

x= 32

in short...the original price= 32 dollars

8 0

3 years ago

Please help me answer this question. I have a quiz tomorrow :(​

Please help me answer this question. I have a quiz tomorrow :(