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Stels [109]
3 years ago
5

What is the final equation in standard form of m=-6/7, b=3 1/7

Mathematics
1 answer:
arlik [135]3 years ago
8 0
<span>We are given the slope and the y-intercept.

m=-6/7, b=3 1/7

We use the slope-intercept form of the equation of the line to get an equation.

y = mx + b

y = -6/7x + 3 1/7

Now we need standard form.
The x- and y-terms must be on the left side, and we need integer coefficients.

y = -6/7x + 22/7

Multiply both sides by 7.

7y = -6x + 22

Add 5x to both sides.

6x + 7y = 22
</span>
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The graph of an exponential function passes through the point (0,15) and (1,10). What is the equation of the exponential functio
Vilka [71]

Answer:

y=15(\frac{2}{3})^x

Step-by-step explanation:

we know that

The equation of a exponential function is of the form

y=a(b^x)

where

a is the initial value or y-intercept

b is the base of the exponential function

In this problem we have

a=15 ----> the y-intercept is given

substitute

y=15(b^x)

we have the other ordered pair (1,10)

substitute the value of x and the value of y and solve for b

10=15(b^1)\\10=15b

b=\frac{10}{15}=\frac{2}{3}

substitute

y=15(\frac{2}{3})^x

see the attached figure to better understand the problem

7 0
3 years ago
What value for x will make the equation true?<br> -3 (7x - 5) = 87 + 3x
Gennadij [26K]

Answer:

x=-3

Step-by-step explanation:

follow the PEMDAS method then see if the 2 equation equal each other after plugging in the x.

7 0
3 years ago
Read 2 more answers
Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A consume
Ivan

Answer:

Type I error: Concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

Mean mileage for the Carter Motor​ Company's new sedan

We can design the null hypothesis and alternate hypothesis as:

H_{0}: \mu \geq 32\text{ miles per gallon}\\H_A: \mu < 32\text{ miles per gallon}

Type I error:

  • It is the false positive error.
  • It is the error of rejection a true hypothesis.

Type II error:

  • It is the false negative error.
  • It is the non rejection of a false null hypothesis.

Thus, type I error for the given hypothesis is concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.

Type II error would be concluding that mean mileage is greater than or equal to 32 miles per gallon when actually it is less than 32 miles per gallon.

3 0
3 years ago
Susan has purchased a whole life policy with a death benefit of $200,000. Assuming that she dies in 10 years and the average inf
Anika [276]

Answer:

Answer is: $148,809.52

Step-by-step explanation:

Susan has purchased a whole life policy with a death benefit of $200,000.

Assuming that she dies in 10 years.

Rate = 3% or 0.03

Future value after 10 years = (1+r)^{n} = (1.03)^{10} = 1.344

Purchasing power of proceeds = \frac{200000}{1.344}= $148,809.52

5 0
3 years ago
Let f(x) = -5x - 4 and g(x) = 6x - 7. Find f(x) + g(x)
DIA [1.3K]

Answer:

x - 11

Step-by-step explanation:

Let f(x) = -5x - 4 and g(x) = 6x - 7.

f(x) + g(x)

I like to line them up vertically

-5x - 4

6x - 7

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

x-11

8 0
3 years ago
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