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3 years ago

Four multiplied by the sum of 8 and a number is the same as 59 more than the number. find the number.

1 answer:

5 0

The sum of 8 and a number is 8 + x. Now multiply that by 4 to get 4(8 + x). The word "is the same as" means "equals" 59 more than the number, which means we add 59 to the unknown we have called x. So our equation now looks something like this (exactly like this, actually): 4(8 + x) = x + 59. Simplifying a bit gives us 32 + 4x = x + 59. 3x = 27 and x = 9. The number is 9!

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Which graph represents the piecewise-defined function? y={−45x−3 if x<03x−10 if x≥2

Nikitich [7]

Step-by-step explanation:

$y=\left \Bigg\{ {\big{-45x-3 \qquad x < 0} \atop \big{3x - 10 \qquad x \geq2 }} \right.$

$\begin {array}{c|c}{ x&y}}\\ -\infty&-\infty\\-2&-93\\-1&-48\\ 0 &-3^*\\1&nothing\\2&-4\\3&-1\\4&2\\ \infty&\infty\\\end{array}$

* open dot

You did not provide the graphs to choose from so use the table above to determine which graph fits those coordinates.

Make sure that:

(0, -3) has an open dot
nothing is plotted between x = 0 and x = 2
(2, -4) has a closed dot

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3 years ago

Which set of ordered pairs could be generated by an exponential function?

KIM [24]

Hello,

Answer C with y=2^x

Download xls

8 0

3 years ago

Read 2 more answers

In a division of a company, 15% of the women and 25% of the men are working on a project. 60% of the division are women. what pe

lord [1]

19%
In the division, 60% are women and 100%-60% = 40% are men. And for this project, we have 15% of the women, or 15%*60% = 9% of the personal and 25% of the men or 25% * 40% = 10% of the personal working on the project. Therefore 9% + 10% = 19% of the division is working on the project.

5 0

2 years ago

Find the solution to the initial value problem (1 + x^{5}) y' + 5 x^{4} y = 5 x^{8}

natali 33 [55]

$(1+x^5)y'+5x^4y=5x^8$
$\bigg((1+x^5)y\bigg)'=5x^8$
$(1+x^5)y=5\displaystyle\int x^8\,\mathrm dx$
$(1+x^5)y=\dfrac59x^9+C$
$y=\dfrac{5x^9+C}{9(1+x^5)}$

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3 years ago

Angles C and D are supplementary, if angle C equals 126, what is angle D

Elis [28]

Answer:

angle D = 54°

Step-by-step explanation:

Supplementary angles sum to 180°

To calculate D, subtract angle C from 180

angle D = 180° - 126° = 54°

6 0

2 years ago