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3 years ago

14

Allison has 5 times as many baseball cards as football cards. In all she has 120 baseball and football cards. How many baseball

cards does Allison have?

1 answer:

bekas [8.4K]3 years ago

3 0

Allison has 600 baseball cards

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

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3 years ago

It takes 1 worker 15 hours to paint a room. it takes 3 workers 5 hours to paint the same room. martin wrote the function, y = -5

ira [324]

He chose the right type of equation equation, but the equation should be y=15/x

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3 years ago

If sinA=1/2than find tan A

Elena L [17]

Step-by-step explanation:

Here's the answer I hope it will help you

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4/15ths of 49. I know the answer but I can’t seem to figure out how to do the work so if someone could tell me the steps on how

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Answer:

.65

Step-by-step explanation:

Have you ever given up working on a math problem because you couldn’t figure out the next step? Wolfram|Alpha can guide you step by step through the process of solving many mathematical problems, from solving a simple quadratic equation to taking the integral of a complex function.

When trying to find the roots of 3x2+x–7=4x, Wolfram|Alpha can break down the steps for you if you click the “Show steps” button in the Result pod.

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4 years ago

Find the value of x and y from ordered pair.<br>（x+y,2x-y）=（13,2）

Katarina [22]

Answer:

x=5, y=8

Step-by-step explanation:

x+y=13

2x-y=2

add these two equations

3x=15

therefore x=5

apply this value in x+y=13

5+y=13

then y=13-5 = 8

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3 years ago

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