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Doss [256]
3 years ago
5

What’s the area of the rectangle in terms of x if the length is (x+8) and the width is (2x-1)?

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

Answer:

Step-by-step explanation:

A=LW\\ \\ A=(x+8)(2x-1)\\ \\ A=2x^2-x+16x-8\\ \\ A=2x^2+15x-8

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Help please! I have to answer what is wrong with this ,but I am getting really confused.
Aliun [14]

Answer:

x = 113

Step-by-step explanation:

Vertical angles are congruent. To the left of 113 would be 67 but x is not.

8 0
3 years ago
A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers
Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b)  With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57

Using normal distribution table, z_{0.005 is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

e= z_{0.005}\frac{\sigma}{\sqrt{n} }  = 2.57*\frac{3900}{\sqrt{100} } =1002.3

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) =  (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0
4 years ago
A parabola with the equation y=a(x-b)^2+c has a minimum of (-2,1) and a y-intercept of 5. What are the values of a, b and c? Wha
Illusion [34]

Answer: 3^15

Step-by-step explanation: carry the one to the 5 divide by the third and multiply the fractions , find the mean ( average ) of the mode and square that to find your a b and c values

5 0
3 years ago
Which ordered pair (a,b) is a solution to the given system of linear equations.
egoroff_w [7]

Answer:

A. (-13,-3)

Step-by-step explanation:

Solve the system of two equations:

\left\{\begin{array}{l}-2a+3b=14\\a-4b=3\end{array}\right.

From the second equation:

a=3+4b

Substitute it into the first equation:

-2(3+4b)+3b=14\\ \\-6-8b+3b=14\\ \\-8b+3b=14+6\\ \\-5b=20\\ \\5b=-20\\ \\b=-4

So,

a=3+4b=3+4\cdot (-4)=3-16=-13

The solution is (-13,-4)

6 0
3 years ago
Read 2 more answers
Which measurements could represent the side lengths of a right triangle?
AfilCa [17]

Answer:

16 cm, 30 cm, 34 cm

Step-by-step explanation:

I got this answer simply by plugging each number into my calculator with the following equation:

\sqrt{x^{2} +y^{2} }

When you the lower numbers into the equation, if the lengths really do give you a triangle, then you should get the largest number as your output. This can help you with any of the other questions that you may have to answer.

6 0
3 years ago
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