: 9(p + 2) = 3(3p – 5)<br><br> Find the inequality with its graph

The difference between eight times a number and three is equal to negative nineteen. What is the number?

malfutka [58]

The equation would be 8x +3 + -19. Substitute your given answers in. Your answer would be B. Negative 2

7 0

3 years ago

Read 2 more answers

What is the equation of the translated function, g(x), if

Ivanshal [37]

Answer:

D. g(x) = (x+ 4)² + 6

Step-by-step explanation:

Here, the given function is f(x) = x²

Now,if a graph x² is translated by (h,k) where:

h = Translation done towards RIGHT

k = Translation done towards UP

Then the translated equation is given as:

y = (x-h)² + k .... (1)

Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.

⇒ h = - 4 and k = 6

Substituting the value of h, k in (1) , we get:

g(x) = (x-(-4))² + 6 = (x+ 4)² + 6

⇒ g(x) = (x+ 4)² + 6

Hence, the equation of the translated function, g(x) is g(x) = (x+ 4)² + 6.

3 0

3 years ago

What is the hypothenuse of a right triangle with bases 13cm and 5cm?

NikAS [45]

To find the hypothenuse use Pythagorean theorem: 13²+5²=h²,
h=√13²+5²=13.93cm = hypothenuse.

5 0

3 years ago

Show that the equation x^3+6x-5=0 has a solution between x=0 and x=1

Mnenie [13.5K]

Answer:

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

Step-by-step explanation:

The equation f(x) given is:

$f(x) = x^3+6x-5$

For x = 0. the value of the expression is:

$f(0) = 0^3+0-5\\f(0) = -5$

For x = 1, the value of the expression is:

$f(1) = 1^3+6-5\\f(1)=2$

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

In other words, there is at least one solution for the equation between x=0 and x=1.

6 0

3 years ago

A shuttle operator has sold 20 tickets to ride the shuttle. All passengers (ticket holder) are independent of each other, and th

Rashid [163]

Answer:

a. Discrete probability distribution, frequent rider club, 0.65 of 20

b. 13

c. $60

d. $57.50

Step-by-step explanation:

a. X follows a discrete probability distribution because it involves discrete random variables which have probability mass function and frequency.

f(x) =0.65 of 20 passengers

b. if 0.65 0f 20 passengers are frequent riders,

then, the frequent riders will be 13 passengers

c. expected revenue will be $3 *20 passengers which will be $60.

the total number of passengers given tickets is 20 and the price for each is $3. thus, making the parameters to be price and number of passengers.

d. if the frequent riders are charged $2, then the amount paid by this group will be $2*13 which is $26

and if $4.50 is paid by the regular passengers it will be $4.50*(20-13) which is $31.50.

therefore, expected revenue will be $26+$31.50 equals $57.50

4 0

3 years ago

: 9(p + 2) = 3(3p – 5) Find the inequality with its graph