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3 years ago

Five times the smallest of three consecutive odd integers is seven more than twice

Mathematics

1 answer:

Fantom [35]3 years ago

4 0

Answer:

5, 7, 9

Step-by-step explanation:

Using the information given we get:

$5x-7=2z$

$x+2=y\\y+2=z\\x+4=z$

$5x-7=2(x+4)\\5x-7=2x+8\\$

Add 7 to both sides

$5x=2x+15$

Subtract 2x from both sides

$3x=15$

Divide both sides by 3

$x=5$

Using these equations:

$x+2=y\\y+2=z\\x+4=z$

and

$x=5$

We get:

$x=5\\y=7\\z=9$

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Answer:

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Step-by-step explanation:

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3 years ago

What property does the following expression demonstrate? -10+6=6+(-10)

rusak2 [61]

ANSWER

Commutative property of addition.

EXPLANATION

Let a,b be real numbers. The commutative property of addition states that,

$a + b = b + a$

If we let a=-10 and b=6, then

$-10+6=6+(-10)$

Therefore the given expression demonstrates the commutative property of addition.

The commutative property of addition tells us that, the order in which we add two real numbers does not affect the result.

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3 years ago

What is cos 75° to the nearest ten-thousandth?

KATRIN_1 [288]

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3 years ago

A pentagon with one interior angle that measures 200 degrees is what type of polygon.

attashe74 [19]

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4 years ago

Explain relationship between the factors of a quadratic expression, the roots of the related quadratic equation, and the x-inter

Zinaida [17]

Step-by-step explanation:

So, let's use x2 - 3x - 28 as an example.

It's factors are (x - 7)(x + 4).

The roots are the x-values that make our expression equal 0. In order for x2 - 3x - 28 to equal 0, either of our factors need to equal 0, since 0 times anything is 0.

x2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

x - 7 = 0

x = 7

(7 - 7)(7 + 4) = 0(11) = 0

x + 4 = 0

x = -4

(-4 - 7)(-4 + 4) = -11(0) = 0

That gives us two points on our graph, (7,0) and (-4,0). Where are those? On the x-axis! Thus, there are our x-intercepts.

By the way, for the future, along the x-axis, y = 0, so if you are asked for the x-intercepts (or roots), set y = 0 and solve for x.

Along the y-axis, x = 0, so if you are asked for the y-intercepts, set x = 0 and solve for y.

y = 02 - 3(0) - 28

y = -28

So, the y-intercept(s) of our same equation is y = -28, or (0,-28).

Boom.

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3 years ago