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2 years ago

Which of the following shows the graphical representation of the solution for the one-variable linear equation 2x – 1 = 3?

Mathematics

2 answers:

NISA [10]2 years ago

7 0

I graphed it for you

Elenna [48]2 years ago

5 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$2x-1=3$

solve for x

$2x-1=3$

Adds $1$ both sides

$2x-1+1=3+1$

$2x=4$

Divide by $2$ both sides

$2x/2=4/2$

$x=2$

the graph in the attached figure

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Based on the graph shown to the right, whose phones cost varies directly with the amount of time spent talking?

Lena [83]

Answer:

Step-by-step explanation:

Given 2 quantities that vary directly, then the graph must pass through the origin.

Nikiya's graph is the only one to do this ⇒ B

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1 year ago

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Simplify: left parenthesis minus 2 x to the power of 4 y to the power of 3 right parenthesis to the power of 2 left parenthesis

Ulleksa [173]

The answer to your question is

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2 years ago

at the game, mrs. burns spent $45 for 4 soft pretzels, 3 bags of peanuts, and 8 bottles of water for snacks for the family. a bo

Irina18 [472]

Answer:

The correct statements are A. The cost of a bottle of water is p – 0.75, C. The cost of a soft pretzel is $3.25. and D. The cost of a bag of peanuts is $4.00.

Step-by-step explanation:

1. This is the information given to solve the case:

Amount spent by Mrs. Burns at the game = US$ 45

Detailed purchase done by Mrs. Burns = 4 soft pretzels, 3 bags of peanuts and 8 bottles of water.

Price of soft pretzel = p

Price of bag of peanuts = p + US$ 0.75

Price of bottle of water = p - US$ 0.75

2. This is the equation for solving the case:

4p + 3(p + 0.75) + 8(p - 0.75) = 45

4p + 3p + 2.25 + 8p - 6 = 45

4p + 3p + 8p = 45 + 6 - 2.25

15p = 48.75

p = 3.25

The price of a soft pretzel is US$ 3.25, of a bag of peanuts is US$ 4 (3.25 + 0.75) and of a bottle of water is US$ 2.50 (3.25 - 0.75).

3. Now, we have all the information necessary to analyze the statements.

A. The cost of a bottle of water is p – 0.75. It's correct.

B. The equation that represents this scenario is (p – 0.75) + (p – 0.75) + p = 45. It's false.

C. The cost of a soft pretzel is $3.25. It's correct.

D. The cost of a bag of peanuts is $4.00. It's correct.

E. The cost of 8 bottles of water is $26.00. It's false. (8 * 2.50 = 20)

The correct statements are A. The cost of a bottle of water is p – 0.75, C. The cost of a soft pretzel is $3.25. and D. The cost of a bag of peanuts is $4.00.

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1 year ago

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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

xenn [34]

Answer:

As per the given statement:

The region bounded by the given curves about the y-axis, $y = 13e^{-x^2}$ , y=0, x = 0 and x = 1

Using cylindrical shell method:

The volume of solid(V) is obtained by rotating about y-axis and the region under the curve y = f(x) from a to b is;

$V = \int_{a}^{b} 2\pi x f(x) dx$ where $0\leq a$

where x is the radius of the cylinder

f(x) is the height of the cylinder.

From the given figure:

radius = x

height(h) =f(x) =y= $13e^{-x^2}$

a = 0 and b = 1

So, the volume V generated by rotating the given region:

$V =2 \pi \int_{0}^{1} x ( 13e^{-x^2}) dx\\\\V=2\pi\left [ -\frac{13}{2}e^{-x^2} \right ]_{0}^{1}\\\\V=2\pi\left (-\frac{13}{2e}-\left(-\frac{13}{2}\right) \right )\\\\V=-\frac{13\pi }{e}+13\pi$

therefore, the volume of V generated by rotating the given region is $V=-\frac{13\pi }{e}+13\pi$

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1 year ago

Wendy opens a bank account with money she has saved. After this initial deposit, Wendy then deposits the same amount of money ea

Bess [88]

If the table is:

x | y

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1 | 76

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2 | 92

---------

3 | 108

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4 | 124

-------------------------------------------------------------------------------------------------------------------

Find the change inbetween each amount per week

92 - 76 = 16

108 - 92 = 16

etc.

This means that her initial deposit should be subtracting 16 from her first deposit.

76 is the amount first deposited

76 - 16 = 60

A) $60 should be your answer

hope this helps

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1 year ago

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