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2 years ago

A graph is shown below:

Mathematics

2 answers:

Musya8 [376]2 years ago

5 0

Answer:

y = -4x + 64.

Step-by-step explanation:

The slope is rise / run = (64-0) / (0-16)

= 64 / -16

= -4.

The y-intercept is y = 64 so the equation is

y = -4x + 64.

lutik1710 [3]2 years ago

5 0

Answer:

the first option y=-4x+64

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Tesla Battery Recharge Time.The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per

madam [21]

Answer:

a.) f(x) = $\frac{1}{30}$ where 90 < x < 120

b.) $\frac{2}{3}$

c.) $\frac{2}{3}$

d.) $\frac{1}{2}$

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = $\frac{1}{120 - 90} = \frac{1}{30}$ where 90 < x < 120

b.)

P(x < 110) = $\int\limits^{110}_{90} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

c.)

P(x > 100 ) = $\int\limits^{120}_{100} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

d.)

P(95 < x< 110) = $\int\limits^{110}_{95} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}$

7 0

2 years ago

2. Write the slope-intercept form of the equation for each graph described. Line passing through (-5, 12) and parallel to the li

Nostrana [21]

Answer: y = 2x+22

========================================================

Explanation:

The equation y = 2x+5 is in the form y = mx+b

m = 2 = slope

b = 5 = y intercept

Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.

Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c

y = mx+c

12 = 2(-5)+c

12 = -10+c

12+10 = c

22 = c

c = 22

Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22

The equation of the parallel line is y = 2x+22

The graph is below.

7 0

2 years ago

A store buys a jacket for $20.00 and then sells it to customers for 80% more than that. What is the selling price of the jacket?

Licemer1 [7]

Answer:

Step-by-step explanation:

because 80 percent of 20 dollars is 16 dollars meaning they are selling the jacket for 16 dollars more than the original price. 16+20 is 36 dollars.

3 0

2 years ago

For f(x) = 2x+1 and g(x) = x+14, find (gof)(x).

Goryan [66]

Answer: OPTION B

Step-by-step explanation:

You can observe that the exercise provides you two Linear functions.

The first Linear function is the function f(x). This is:

$f(x) = 2x+1$

And the other Linear function is the function g(x):

$g(x) = x+14$

In order to find $(gof)(x)$ , you need to follow these steps shown below:

<u>Step 1</u>:

You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:

$(gof)(x) = (2x+1)+14$

<u>Step 2</u>:

Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that $(gof)(x)$ is:

$(gof)(x) = 2x+1+14\\\\(gof)(x) = 2x+15$

5 0

2 years ago

Which of the following is not a tax collected by the federal government?

rodikova [14]

The tax that is not collected by the federal government is $\boxed{{\text{excise tax}}}$ . Option (b) is correct.

Further explanation:

Given:

The options are as follows.

A. Sales tax

B. Excise tax

C. Income tax

D. Payroll tax

Explanation:

The sales tax is a tax that is imposed on the products sold. The sale tax is collected by the federal government.

The excise tax is the tax that is imposed on purchasing the goods .The excise tax is not collected by the federal government.

The tax that is imposed on the salaries of an individual or company is known as the income tax.

The income tax is collected by the federal government.

The tax that is imposed on the employer as the percentage of salaries of employees is known as the payroll tax. The payroll tax is collected by the federal government.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Hence, the tax that is not collected by the federal government is $\boxed{{\text{excise tax}}}.$ Option (b) is correct.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment

Keywords: Federal government, tax, sales tax, excise tax, income tax, payroll tax, state government, revenue, local government.

8 0

2 years ago

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