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m_a_m_a [10]
3 years ago
6

Please help me with this math problem

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0
The function is decreasing on the interval (- infinity, + infinity).
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Which expression is equivalent to 4c + 7 -2C - 3?
Ivahew [28]
The answer is (A): 2c+4
4 0
2 years ago
Solve for the equation for all x values by completing the square x^2 - 27= 67
navik [9.2K]

Answer:

The solutions for the equation x^2\:-\:27=\:67 are x=\sqrt{94},\:x=-\sqrt{94}.

Step-by-step explanation:

To find the solutions for the equation x^2\:-\:27=\:67 you must:

\mathrm{Add\:}27\mathrm{\:to\:both\:sides}\\\\x^2-27+27=67+27

\mathrm{Simplify}\\\\x^2=94

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{94},\:x=-\sqrt{94}

6 0
3 years ago
Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zac
Solnce55 [7]

Answer:

The speed of the Zach travelling is 8 miles per hour.

The speed of the Warren travelling is 15 miles per hour.

Step-by-step explanation:

Given : Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zach and after 7 hours they are 161 miles apart.

To find : How fast is each traveling?

Solution :

Let the speed of Zach is x mile per hour.

If Warren travels 7 mph faster than Zach

The speed of the Warren is x+7 miles per hour.

Zach and Warren both leave the coffee shop at the same time, but in opposite directions.

The distance covered is 161 miles in 7 hours.

We know, \text{Distnace}=\text{Speed}\times \text{Time}

Substitute,

161=(x+x+7)\times7

\frac{161}{7}=2x+7

23=2x+7

2x=23-7

2x=16

x=8

The speed of Warren is 8+7=15

The speed of the Zach travelling is 8 miles per hour.

The speed of the Warren travelling is 15 miles per hour.

6 0
3 years ago
Read 2 more answers
A semicircle has a center at X and diameter WZ. The radius XY of the semicircle has a length of 2. The chord YZ has a length of
siniylev [52]
, it is important to recognize that the point (x,y) in the first quadrant represents any point on the semicircle. In Figure 2, the same semicircle is shown with the inscribed rectangle drawn for three different values of x.
4 0
3 years ago
3. Suppose you are testing H0 : µ = 20 vs H1 : µ > 20. The sample is large (n = 71) and the variance, σ 2 , is known. (a) Fin
LUCKY_DIMON [66]

Answer:

We reject the null hypothesis.

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 71

Population variance is known.

Level of significance, α = 0.08

z_{\text{stat}} = 1.56

The null and alternate hypothesis are:

H_{0}: \mu = 20\\H_A: \mu > 20

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} } = 1.56

Now, z_{critical} \text{ at 0.08 level of significance } = 1.41

Since,  

z_{stat} > z_{critical}

We fail to accept the null hypothesis and reject it and accept the alternate hypothesis.

7 0
3 years ago
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