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Akimi4 [234]
2 years ago
5

Which point is the vertex of the graph defined by f(x) = 6|x − 2| − 5

Mathematics
2 answers:
bearhunter [10]2 years ago
6 0
(2,-5) https://www.mathpapa.com/algcalc2/?utm_expid=69051716-16.tNCYGchyRSmAD_peBBMf2Q.1&utm_referrer=https...
Kobotan [32]2 years ago
4 0

Answer:

vertex point is (2,-5)

Step-by-step explanation:

f(x) = 6|x - 2|- 5

The general form of the absolute function is

y=a|x-h|+k

where (h,k) is the vertex

WE compare the general form of the equation with our given equation to find vertex

y=a|x-h|+k

f(x) = 6|x - 2|- 5

h= 2 and k = -5

So vertex point is (2,-5)

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-0.72 because u can’t write a check and u don’t have the funds
4 0
2 years ago
The mean speed of vehicles along a stretch of highway is 56 mph with a standard deviation of 4 mph. You
Elenna [48]

The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.

<h3>Z score</h3>

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z=\frac{x-\mu}{\sigma }

Where x is raw score, μ is mean, σ is standard deviation

Given that:

σ = 4, μ = 56, hence

for x = 62:

z=\frac{62-56}{4 } =1.5

for x = 47:

z=\frac{47-56}{4 } =-2.25

for x = 56:

z=\frac{56-56}{4 } =0

The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.

Find out more on Z score at: brainly.com/question/25638875

4 0
2 years ago
Suppose your car has hhh liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more
Igoryamba

Answer:

g = (h+a) - l

None of them

Step-by-step explanation:

Suppose your car has h liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is g liters. Which of the following expressions always represents how far away the new oil level is from the previous oil level? H+G lGl none of them

Let

h = liters of oil in the morning

l= liters that has leaked

a= liters that were added during the day

g= amount of liters at the end of the evening

Total liters of oil in the evening= (litres of oil in the morning + litres of oil added during the day) - litres of oil that leaked

Substituting each variable into the formula, we have

g = (h+a) - l

3 0
3 years ago
Match the surfaces with the verbal description of the level curves by placing the letter of the verbal description to the left o
irakobra [83]

Answer:

Step-by-step explanation:

1. (2/z)x^2 + (3/z)y^2 is an equation for an ellipse, so the answeris A.

2. We can rewrite this as x^2 + y^2 = 25 - z^2. This is theequation for a circle, so the level curves are circles. However,they are unevenly spaced, because the radius of each circle issqrt(25-z^2). So the answer is F.

3. Rewriting, we have y = z/x. This is the equation of a hyperbola(except when z = 0). So the answer is B.

4. Rewriting, we have x^2 + y^2 = z^2. This is the equation for acircle of radius z, so the level curves are evenly spaced circles.The answer is C.

5. Solving for x, we have x = 1 + 1/z. These level curves arevertical lines, which are obviously parallel. However, they areunequally spaced, since the distance between them gets smaller as zgets larger. The answer is E.

6. x^2 + y^2 = z is the equation for a circle of radius sqrt(z).They are unevenly spaced once again, because the radii do notincrease linearly with z. The answer is F.

7. Solving for y gives: y = (-2/3)x + z/3. This is the equation fora line of slope -2/3 with y-intercept z/3. These are parallelbecause they all have the same slope, and evenly-spaced becauseeach time we increase z by 1 the y-intercept moves up by 1/3. Theanswer is D.

6 0
3 years ago
This Venn diagram shows the pizza topping preferences for 9 students. Let event A = The student likes pepperoni. Let event B = T
victus00 [196]

Answer:

P(A\ or\ B)=\frac{7}{9}

Step-by-step explanation:

We need to use the formula to calculate the probability of (A or B) where  

A=Probability a student likes pepperoni

B=Probability a student likes olive

A and B =Probability a student likes both toppings in a pizza

A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or

The formula is

P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)

Since 6 students like pepperoni out of 9:

P(A) = \frac{6}{9}

Since 4 students like olive out of 9:

P(B) = \frac{4}{9}

Since 3 students like both toppings out of 9

P(A\ and\ B) = \frac{3}{9}

Then we have

P(A\ or\ B)=\frac{6}{9}+\frac{4}{9}-\frac{3}{9}

P(A\ or\ B)=\frac{7}{9}

7 0
2 years ago
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