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Radda [10]
3 years ago
13

Find the slope of the tangent line to f(x) = 2x +3 at at x = 2.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0
The slope is 2 at all points on f(x) since f’x is just 2
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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Minchanka [31]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0
3 years ago
How to find an exponential function with two points?
BabaBlast [244]
Well u have a basic equation y=a • b^x
a is the initial amount
b is the growth factor
and x is the exponent

the first step is to make a chart with ur two points for example
(0,4) and (2,16)
so ur chart will be
x. | y.
0. | 4
2. | 16
next you find the difference between the x side so 0 to 2 is +2
then find the difference between the y side so 4 to 16 is +12
then put it into a fraction with y over x or y/x so 12/2 then simplified 6/1 or just 6.

6 is the growth factor
and to find a u have to go on the y column and find the first number so
a is 4
x is still x because it's 0 but if it was 2 then it would be x-2 so it can cancel
so the answer would be y=4 • 6^x
6 0
3 years ago
1 question 60 points need help now
kkurt [141]

Answer:

The answer to your question is  x = 0 and x = 1

Step-by-step explanation:

Equation

                       \frac{x}{x - 2} + \frac{x - 1}{x + 1} = -1

1)

                      \frac{x(x + 1) + (x - 2)(x - 1)}{(x - 2)(x + 1)} = - 1

Expand

2)                  x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)

Simplify

3)                  2x² -2x + 2 = -1(x² + x - 2x - 2)

4)                  2x² - 2x + 2 = -x² + x + 2

Equal to zero

5)                  2x² - 2x + 2 + x² - x - 2 = 0

6)                  3x² - 3x = 0

Factor

7)                  3x(x - 1) = 0

8)                  3x₁ = 0                   x₂ - 1 = 0

9)                    x₁ = 0/3                x₂ = 1

10)                  x₁ = 0                    x₂ = 1

4 0
4 years ago
Each lap around the track is 400 meters. How many meters does someone run if they runs if Noah ran 14 laps, how many meters did
sashaice [31]
Question 1: You just do 400 x 14, and the answer is 5,600.
Question 2: You divide 7,600 by 400, and the answer is 19.
7 0
3 years ago
Read 2 more answers
Given g(x) where f(x)= 3x-1 and g(x)= f(x+1). graph​
vlabodo [156]

Answer: I linked the graph but the intersection point is x= -1

Step-by-step explanation:

3 0
3 years ago
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