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Anton [14]
3 years ago
8

Which of the following best describes the expression 6(y + 3)?

Mathematics
2 answers:
Luda [366]3 years ago
7 0
<span>The product of a constant factor of six and a factor with the sum of two terms, because 6* the sum of y+3.
</span>
ollegr [7]3 years ago
5 0

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

6(y+3)

It has sum of two terms i.e. y and 3.

Mathematically, it is expressed as

y+3

And the product of constant factor of six and a factor with the sum of two terms.

Mathematically, it is expressed as

6(y+3)

Hence, Third option is correct.

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divide 1160 by 4 using a calculator
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Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.
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The correct answer is 5/16.
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Can u please find the value of X and both missing angle measures? It’s just notes I was absent when she explained it.
KIM [24]
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3 years ago
An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $13
krek1111 [17]

Answer:

The number of half-page advertisements is 4.

The number of Full-page advertisements is 11.

Step-by-step explanation:

According to the Question,

  • Given, An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $1340 to purchase 15 advertisements.

Let, 'x' be the number of half-page advertisements and 'y' be the number of full-page advertisements.

  • Thus, 60x + 100y is the money charged, and given that he has a budget of $ 1340.

       60x + 100y = 1340

  • And, the number of advertisements is 15. So, the other equation is

       x + y = 15

Now, We have Two Equations,

60x + 100y = 1340 and x + y = 15

  • the solution of the system is Put x=(15-y) in Equation 60x + 100y = 1340

60 (15-y) + 100y = 1340

900 - 60y + 100y = 1340

40y = 1340 - 900

40y = 440

y = 440/40

y = 11 So, For x = 15 - y ⇒ 15-11 ⇒ x=4 .

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6 0
2 years ago
The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to t
yanalaym [24]

Answer:

A

Step-by-step explanation:

The base of a solid in the region enclosed by the graphs of <em>y</em> = eˣ, <em>y</em> = 0, <em>x </em>= 0, and <em>x</em> = 1. Each cross-section perpendicular to the <em>x</em>-axis is an equilateral triangle. We want to find the volume of the solid.

Please refer to the graph below. We are concerned with the red region.

In order to find the volume, we essentially sum up the area of the figure at each <em>x</em> value. So, we integrate from <em>x </em> = 0 to <em>x </em>= 1.

The area for an equilateral triangle is given by:

\displaystyle A=\frac{\sqrt{3}}{4}s^2

Where <em>s</em> is the side length of the triangle.

Since the triangle lies perpendicular on the region, the side length of the triangle at <em>x</em> is simply <em>y</em>, which is eˣ.

Therefore, our volume is:

\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx

Substitute:

\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx

Evaluate the integral. Simplify:

\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx

Integrate using u-substitution:

\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)

Evaluate:

\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)

Therefore, the volume of the solid is:

\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)

Our answer is A.

3 0
2 years ago
Read 2 more answers
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