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zaharov [31]
3 years ago
10

Which statements are true? Select all that apply.

Mathematics
1 answer:
ohaa [14]3 years ago
5 0

Answer:

Two of these statements are true.

The function equals x^2 over the interval −∞ < x ≤ 0.

The function equals √x over the interval 0 ≤ x < ∞.

Step-by-step explanation:

If we look at the parent function of x^{2} we see that x^{2} function looks like a U shaped graph and in your graph we see it is the same as your graph from the interval (-∞,0).

If we look at the parent function of \sqrt{x}  we see that the

\sqrt{x} function looks like your graph from the interval (0,∞).

Suggestion:

I suggest memorizing every graph of parent functions that is introduced to you in math. This can help you visually with many problems in mathematics, and help you conceptualize material better. I also suggest looking up the definition of every word that may be unfamiliar to you like "interval" and "parent function". This will help you understand more advanced math notations and vocabulary in the future.

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What are the coordinates of the midpoint between the points (-6, -2) and (-2,-5)?
Soloha48 [4]

B, -4, -7/2 is the midpoint

7 0
3 years ago
Read 2 more answers
Example: Find the circumference of the circle with a radius of 5 inches. Solution: Step 1: Write down the formula: IC = 2tr Step
GREYUIT [131]

Answer:

1. The circumference of any circle equals two times its radius multiplied by pi (π, approximately 3.14). We can also say it equals pi times its diameter.

Thank you

7 0
3 years ago
An amusement park charges admission plus a fee for each ride. Admission plus 2 rides costs $10. Admission plus five rides costs
LenaWriter [7]

Answer:

The charge for admission is $6 and the charge for each ride is $2

Step-by-step explanation:

Let

x ----> the charge for admission

y ----> the charge for each ride

we have that

x+2y=10 -----> equation A

x+5y=16 -----> equation B

Solve the system by elimination

Subtract equation B from equation A

x+2y=10\\-(x+5y)=-16\\---------\\2y-5y=10-16\\-3y=-6\\y=2

Find the value of x

substitute the value of y in any equation

x+2(2)=10

x+4=10

x=10-4

x=6

therefore

The charge for admission is $6 and the charge for each ride is $2

8 0
3 years ago
A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d
zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75x^{2}

=1980 + 7.5x -3.75x^{2}

=1980-3.75 (-2x+x^{2}) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+x^{2})

=1980 +3.75 -3.75(x^{2} -2x +1)

=1983.75 -3.75 (x-1)^{2}---->(1)

as (x-1)^{2} is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of (x-1)^{2} = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0
3 years ago
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