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Tanya [424]
3 years ago
7

The product of two consecutive even integers is 224. what are the integers?

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
4 0

Answer:

2*112=224

4*56=224

8*28=224

14*16=224

Step-by-step explanation:

any one of those 4 you can use to answer the problem

algol [13]3 years ago
3 0

Answer:

16, -16, 14, and -14

Step-by-step explanation:

The easiest way of solving this question is by setting up an equation. Let's use "n" to represent any random possible integer.

n (n + 2)  = 224

Simplifying:

x^2 + 2n - 224 = 0

(n + 16)(n - 14) = 0

n = -16, 16 or n = -14, 14

<u>Check:</u>

16 * 14 = 224

-16 * -14 = 224

Thus, answers of 16, -16, 14, and -14 all work correctly.

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Answer:

34x + 45y = 192.25

47x + 16y = 208

Step-by-step explanation:

Let x stand for peaches.

Let y stand for grapes.

Since we know that yesterday he sold 35 pounds of peaches ( x ) and 45 pounds of grapes ( y ) for $192.25, we can create an equation to represent this using two variables; peaches and grapes.

We can do the same thing with the amount of peaches and grapes he sold today. Once we make this equation, we will have two equations to make the system of equations to solve for x and y.

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3 years ago
1. How could you figure out the coordinates of a reflection over the x-axis? What would the coordinates of that reflected point
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The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).

If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>reflection, translation, rotation and dilation.</em>

The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).

If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)

Find out more on transformation at: brainly.com/question/4289712

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7 0
2 years ago
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Find z such that 97.5% of the standard normal curve lies to the left of z. (Enter a number. Round your answer to two decimal pla
fomenos

Answer:

z=1.96

Step-by-step explanation:

Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.

(above value obtained from R)

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<em>If the radius of a sphere is doubled, the surface area becomes four times the original surface area.</em>

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