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2 years ago

The greater of two consecutive integers is nine more than twice the lesser integer. What are the two integers?

Mathematics

2 answers:

DaniilM [7]2 years ago

6 0

-7 and -8

This is the answer

MakcuM [25]2 years ago

3 0

Answer:

-7 and -8

Step-by-step explanation:

Generally with this kind of problem it is helpful to construct equations representing the words.

Let's let:

Lesser integer = X

Greater integer = Y

The integers are consecutive, meaning that they are only one integer (number) apart. So,

Y = X+1

From the problem, we know that

Y = 9 + 2X

Now, we can sub in the equation from above.

(X + 1) = 9 + 2X

We now solve for X:

1 - 9 = 2X - X

-8 = X

Y = -8 + 1

Y = -7

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Find the lateral area of the cylinder. Give your answer in the terms of pi.

Wewaii [24]

Hi there!

The formula for the lateral area of a cylinder is LA = 2 x pi x r x h. (two times pi times radius times height) Using this formula, we can plug in the values and solve for the lateral area.

Plugging in the values: LA = 2 x pi x 7 x 9
Simplifying: LA = 2pi x 63
LA = 126pi yd^2

ANSWER:
The 4th option - 126pi yd^2

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

6 0

3 years ago

X^2 -50x+456=0 solve this algebraiclly find x

bagirrra123 [75]

Answer:

$x=-406$

Step-by-step explanation:

$x^2-50x+456=0$

$x^2-50x=-456$

This is because we subtract 456 from each side.

$x-50=-456$

We then divide the whole equation by x .

$x=-406$

Adding 50 to both sides gives us x by itself, hope this helps :D

8 0

2 years ago

Read 2 more answers

5000 people attended a football game. 2350 of the people attending supported the home team, while 2650 supported the visiting te

Otrada [13]

Answer:

47%

2350 out of 5000=0.47

move the decimal 2 times

3 0

3 years ago

8% as a fraction in simplest form

masha68 [24]

Answer: 2/25

Step-by-step explanation:

8% means 8/100

To reduce to the simplest fraction, divide through with a common factor of 4

Divide numerator by 4 = 2

Divide denominator by 4 = 25

Therefore, 8% = 2/25

I hope this helps.

3 0

2 years ago

Given f'(x)=(x-4)(6-2x) find the x-coordinate for the relative minimum of the graph f(x).

vlabodo [156]

The graph you plotted is the graph of f ' (x) and NOT f(x) itself. 

Draw a number line. On the number line plot x = 3 and x = 4. These values make f ' (x) equal to zero. Pick a value to the left of x = 3, say x = 0. Plug in x = 0 into the derivative function to get

f ' (x) = (x-4)(6-2x)
f ' (0) = (0-4)(6-2*0)
f ' (0) = -24

So the function is decreasing on the interval to the left of x = 3. Now plug in a value between 3 and 4, say x = 3.5

f ' (x) = (x-4)(6-2x)
f ' (3.5) = (3.5-4)(6-2*3.5)
f ' (3.5) = 0.5

The function is increasing on the interval 3 < x < 4. The junction where it changes from decreasing to increasing is at x = 3. This is where the min happens.

So the final answer is C) 3

5 0

3 years ago