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3 years ago

Write a quadratic equation that has the solutions: 4 and -7

Mathematics

2 answers:

arlik [135]3 years ago

8 0

Answer:

y = ( x-4)(x+7)

Step-by-step explanation:

When we know the zeros of the equation, we can write the equation in the form

y= a(x-z1) (x-z2) where a is a constant and z1 and z2 are the zeros (solutions)

y = a( x-4)(x--7)

y =a( x-4)(x+7)

Since its says write an equation, we can pick a and I will let a=1

y = ( x-4)(x+7)

Maksim231197 [3]3 years ago

4 0

Answer:

x²+7x-4x-28

=x²+3x-28

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A 4 by 5 inch photo is enlarged by multiplying every

dem82 [27]

Answer:

Perimeter ratio = 2:1

Area ratio = 4:1

Step-by-step explanation:

Perimeter

Perimeter of the smaller photo = $2l+2w$

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$=18$ inches

Perimeter of larger photo = $2l+2w$

$=2(10)+2(8)$

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Ratio:

Perimeter of larger photo : perimeter of smaller photo = $36:18$

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Area

Area of smaller photo = $lw$

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Ratio

Area of larger photo : area of smaller photo = $80:20$

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∴The ratio of the perimeters = 2:1, and the ratio of the areas = 4:1

Hope this helps :)

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3 years ago

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3 years ago

Suppose two distinct parallelograms lie in a plane. What is the LARGEST number of points at which they can intersect?

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3 years ago

Balvina knows that 6 cups of rice will make enough spanish rice to feed 15 people. She needs to know how many cups of rice are n

Afina-wow [57]

Answer:

54 cups of rice are needed to feed 135 people.

Step-by-step explanation:

Given:

Balvina knows that 6 cups of rice will make enough spanish rice to feed 15 people.

Now, to find the cups of rice needed to feed 135 people.

Let the cups of rice needed to feed 135 people be $x.$

As, 6 cups of rice is needed to feed 15 people.

So, 6 is equivalent to 15.

Thus, $x$ is equivalent to 135.

Now, to get the cups of rice needed to feed 135 people we use cross multiplication method:

$\frac{6}{15} =\frac{x}{135}$

By cross multiplying we get:

$810=15x$

Dividing both sides by 15 we get:

$54=x\\\\x=54\ cups.$

Therefore, 54 cups of rice are needed to feed 135 people.

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3 years ago