A peicewise function h(x) is shown on the graph below. what is the value of h(x) = -3?

Answers

Answer 1

Answer:
$f( x) = y \n y = - 3 \n x = - 1 \n - 1$

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Alicia estimates that the surface area of a rectangular prism with a length of 11 meters,a width of 5.6 meters,and a height of 7.2 meters is about 334 cubic meters.Is her estimate reasonable?Explain your reasoning.
If a test has 95 questions how many points would each question be worth? Using your answer how many could you miss without going below an 80?
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What is 0.0000000734 estimated as the product of a single digit and a power of 10?______*10^-------
What are the factors of 16 and 9

What's the whole number of 2/2

Answers

the answer is 1 because 2 goes into 2 with any remaining

That would be 1 because 1 equals 100 and 2/2 equals 100%

I really need help on this one...ASAP!I will try to answer your questions if you answer this soon asap! PLZZZZ!!!

What would a equal if 4(a+12) was 32?

Answers

4(a+12)=32
4a+48=32
4a=-16
a=-4

$4(a+12)=32\n a+12=8\n a=-4$

Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x.The company also discovered that it costs $29 to produce 2 widgets, $115 to produce 4 widgets, and $757 to produce 10 widgets.

How much does it cost to make 3 widgets?

Answers

Answer:

The total cost to make 3 widgets is $64.

Step-by-step explanation:

As cost is give by quadratic function such as $c(x) = ax^2 + bx + d$

As it costs $29 to produce 2 widgets. So,

$c(2) = a(2)^2 + b(2) + d$

$29= 4a+2b+d ....[A]$

As it costs $115 to produce 4 widgets. So,

$c(4) = a(4)^2 + b(4) + d$

$115= 16a+4b+d ....[B]$

As it costs $757 to produce 10 widgets. So,

$c(10) = a(10)^2 + b(10) + d$

$757= 100a+10b+d ....[C]$

In order to find the values of a, b, c and d, we have to equations [A], [B] and [C]

Subtracting Equation [A] from [B] and [B] from [C]

12a + 2b = 86 ........[D]

84a + 6b = 642 ........[E]

Multiplying Equation [D] by 3 and subtracting from [E]

84a + 6b + 3(12a + 2b) = 642 - 86

48a = 384

a = 8

Putting value of a = 8 in equation [D]

12(8) + 2b = 86

96 + 2b = 86

2b = -10

b = -5

Substituting the value of a = 8 and b = -5 in Equation [A].

29= 4a+2b+d

29 = 4(8) + 2(-5) + d

29 = 32 - 10 + d

d = 29 + 10 - 32

d = 7

The required form of equation can be obtained by substituting a = 8, b = -5 and d = 7 in the cost equation. So,

$c(x) = 8x^2 - 5x + 7$ is the required form of equation.

Therefore, the total cost to make 3 widgets will be:

Putting x = 3 in $c(x) = 8x^2 - 5x + 7$

$c(3) = 8(3)^2 - 5(3) + 7$

$c(3) = 72 - 15 + 7$

$c(3) = 64$

Hence, the total cost to make 3 widgets is $64.

Keywords: quadratic equation, cost

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Explain how you would convert a measurement given in ounces into pints.

Can someone PLEASE help me?

Answers

well u multiply the number of ounces by how many ounces can go into a pint

A collection of quarters and nickels is worth $14.80. There are 88 coins in all.How many of each coin are there?

Answers

so the equaiton is

number of nickes=n
number of quarters=q

if you have 1 quarter then you have 25 cents so we will represent like this
25q

and nickles is 5n
14.50=1450 cents

so
25q+5n=1480
q+n=88
subtract q from both sides
n=88-q
subsitute into first equation
25q+5(88-q)=1480
25q+440-5q=1480
add like terms
20q+440=1480
subtract 440 from both sides
20q=1040
divide both sdies by 20
q=52
there were 52 quarters
25(52)+5n=1480
1300+5n=1480
subtract 1300 from both sides
5n=180
divide both sides by 5
n=36
there were 36 nickels

nickles=36
quarters=52

What are the x- and y- intercepts of the linear equation -5x + 3y = -15

Answers

x=35y+3 Hope this helps!

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