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3 years ago

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For how many games is the total cost of bowling equal for the two bowling establishments? Family bowling, game $4, shoes $1. Kni

ght owl bowling, game $3.75, shoes $2.

1 answer:

ladessa [460]3 years ago

8 0

$2^4785733858979-|&duts7stpzo64suprxxruxpu5dp7d058d805d0y7f

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What is the area of the polygon below?

sattari [20]

5*11+(10-5)*17=55+85=140

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3 years ago

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Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0

3 years ago

A football is kicked with a speed of 18.0 m/s at an angle of 36.9° to the horizontal.

nata0808 [166]

Answer:

A

Step-by-step explanation:

horizontal component=18cos 36.9°≈14.39 m/s≈14.4 m/s

Vertical component=18 sin 36.9°≈10.81 m/s≈10.8 m/s

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3 years ago

Which of the following graphs represents a function?

4vir4ik [10]

Answer: you didnt post graphs to look at

Step-by-step explanation:

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3 years ago

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The equation of the line that goes through the points ( − 3 , − 9 ) and ( − 6 , − 3 ) can be written in the form y = m x + b

ivolga24 [154]

Answer:

$y=-2x-15$

Step-by-step explanation:

$y=mx+b$ .

m is the slope of the line. To find it we can do $\frac{dy}{dx}$ which is the difference between the y-coordinates divided by the difference between the x-coordinates.

So: $\frac{dy}{dx} =\frac{-9-(-3)}{-3-(-6)} =\frac{-6}{3} =-2$ . Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant $b$ .

$-9=-2(-3)+b$

$b=-15$ - Re-arranging to get b

Now re-write the equation as we have the constants.

$y=-2x-15$

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3 years ago