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3 years ago

15

A bowling alley charges a fee for each game,and there is also a charge to rent bowling shoes.the graph shows prices for bowling

different numbers of games with and without shoe rental.

2 answers:

Georgia [21]3 years ago

7 0

3+2=5 and Ik your smart enough to finish the rest yourself

miskamm [114]3 years ago

6 0

Well if 3+2 is 5 then the bowling alley should be free?

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GREYUIT [131]

Answer:

After solving we get (f.g)(5)=-115

But the correct option is not given in the question.

Step-by-step explanation:

We are given:

$f(x) = 4x+3\\g(x)=-2x+5$

We need to find (f.g)(5)

First we will multiply f and g to find (f.g) i.e

$(f.g)(x)= f(x) \times g(x)\\(f.g)(x) = (4x + 3)(-2x + 5)\\(f.g)(x)=4x(-2x+5)+3(-2x+5)\\(f.g)(x)=-8x^2+20x-6x+15\\(f.g)(x)=-8x^2+14x+15\\$

Now putting x=5

$(f.g)(x)=-8x^2+14x+15\\Put \ x=5\\(f.g)(5)=-8(5)^2+14(5)+15\\(f.g)(5)=-8(25)+70+15\\(f.g)(5)=-200+70+15\\(f.g)(5)=-115$

So, after solving we get (f.g)(5)=-115

But the correct option is not given in the question.

5 0

3 years ago

In the spelling bee contest, Jan answered 6 out of 8 questions correctly, Kara answered 78% of her questions correctly, and Bett

eduard

Answer:

2/5 = 40%

43%

13/19 = 68.4%

Juan

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

I need help putting this in corresponding factored form. I got two wrong but I’m not sure how to do it and show my work.

Anna11 [10]

Answer:

x^2-16 goes with (x+4)(x-4)

x^2+10x+16 goes with (x+8)(x+2)

Step-by-step explanation:

The first one you got wrong is known as a difference of squares.

To factor a difference of squares, a^2-b^2, you just write it as (a-b)(a+b) or (a+b)(a-b) would work too.

So x^2-16=(x-4)(x+4) or (x+4)(x-4).

Let's check (x+4)(x-4) using foil!

First: x(x)=x^2

Outer: x(-4)=-4x

Inner: 4(x)=4x

Last: 4(-4)=-16

----------------------Add

x^2-16

Bingo! (x+4)(x-4) definitely corresponds to x^2-16.

Here are more examples of factoring a difference of squares:

Example 1: x^2-25 = (x+5)(x-5)

Example 2: x^2-81 = (x+9)(x-9)

Example 3: x^2-100 =(x+10)(x-10)

Onward to the next problem:

x^2+10x+16

When the coefficient of the leading term of a quadratic is 1, all you have to do is find two numbers that multiply to be c=16 and add up be b=10.

Those numbers would be 8 and 2

because 8(2)=16 and 8+2=10.

So the factored form of x^2+10x+16 is (x+2)(x+8) or (x+8)(x+2).

Here is another example of when the leading coefficient of a quadratic is 1:

Example 1: x^2+5x+6=(x+2)(x+3) since 3(2)=6 and 3+2=5.

Example 2: x^2-x-6=(x-3)(x+2) since -3(2)=-6 and -3+2=-1.

5 0

3 years ago

Please help I'm a little confused!

zaharov [31]

I will have "x" represent the unknown number, or you could use a "?", doesn't matter.

$8\leq \frac{x}{-4}$ [8 is less than or equal to (≤) the quotient (÷) of a number and -4, so the number is being divided by -4]

If you need to solve this, you need to isolate/get the variable "x" by itself in the inequality:

$8\leq \frac{x}{-4}$ Multiply -4 on both sides to get rid of the fraction and get "x" by itself

$(-4)8\geq \frac{x}{-4} (-4)$ When you multiply/divide by a negative number, you flip the sign (< >)

-32 ≥ x [-32 is greater than or equal to x, or x is less than or equal to -32]

8 0

3 years ago

Which equation is equivalent to 5x – 4y = 8?

aalyn [17]

Answer:

you got it right

Step-by-step explanation:

you mathaway to get the answer

6 0

3 years ago