graph the function. label the vertex and axis of symmetry
f(x) = -6x^2 - 4x - 5

Answers

Answer 1

Answer:

Vertex is (-1/3, -13/3)

Axis of symmetry is x = -1/3

Step-by-step explanation:

For the vertex, you need to change it into vertex form which is y = a(x - h)^2 + k

Vertex form for this equation is:

Y = -6(x + 1/3)^3 - 13/3

To find the vertex, the formula is (h,k)

So, ( -1/3, -13/3)


Related Questions

I need help, this is geometry

Answers

Answer:

∠P = 39º

∠Q=120º

∠R = 21º

Step-by-step explanation:

m∠P+m∠Q+m∠R=180º (sum of ∠s in a triangle)

2x-3+6x-6+x=180º (substitution)

9x-9=180º (algebra)

9x=189º (algebra)

x=21º (algebra) (this is ∠R)

(2x-3)=39º (algebra) (this is ∠P)

6x-6=120º (algebra) (this is ∠Q)

Answer:

∠R = 21°

∠Q = 120°

∠P = 39°

Step-by-step explanation:

Step 1:

6x - 6° + 2x - 3° + x = 180°        Sum of a Δ

Step 2:

9x - 9° = 180°         Combine Like Terms

Step 3:

9x = 189°        Add 9 on both sides

Step 4:

x = 189° ÷ 9       Divide

Step 5:

x = 21°

Step 6:

2 ( 21 ) - 3 = ∠P = 39°

Step 7:

6 ( 21 ) - 6 = ∠Q = 126°

Step 8:

∠R = 21°

Answer:

∠R = 21°

∠Q = 120°

∠P = 39°

Hope This Helps :)

Given the function f(x)=5x−6 find f(4).

Answers

Answer:

f(4)=14

Step-by-step explanation:

f(x)=5x-6

f(4)=5(4)-6

f(4)=20-6

f(4)=14

Answer:

f(4) = 14

Step-by-step explanation:

f(x) = 5x -6

f(4) = 5(4) - 6

f(4) = 20 - 6

f(4) = 14

solve the system equation
x-2y=27
y=5x

A (-4,-20)
B (3,25)
C (-3,-16)
D (-3,-15)​

Answers

Answer:

We will use substitution to solve this system for x.

[tex]x - 2y = 27\\y = 5x\\\\x - 2(5x) = 27\\\\x - 10x = 27\\\\-9x = 27\\\\x = -3[/tex]

Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.

[tex]-3 - 2y = 27\\\\-2y = 30\\\\y = -15\\[/tex]

We now have our solution.

D. [tex](-3, -15)[/tex]

We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.

[tex]-3 - 2(-15) = 27\\\\-3 + 30 = 27\\\\27 = 27[/tex]

Since the equation checks out, our solution is correct.

Divide the polynomials. Your answer should be in the form p(x) + k/x where p is a polynomials and k is an integer. 4x^4-x^2+3/x

Answers

Answer:

Step-by-step explanation:

4[tex]x^{4}[/tex]-x²+3 / x =  

So, we need to think about this problem as either what we have to multiply x by to get the equation, and do long division

= 4x³- x + [tex]\frac{3}{x}[/tex]

Paul is buying lunch from a fast-food restaurant. He has 5 sandwiches, 7 sides, and 10 drinks to choose from. If Paul doesn’t want two of the sandwiches, how many possibilities for lunch can he have?

Answers

Answer:

He has 5 sandwiches, 7 sides, and 10 drinks to choose from

Step-by-step explanation:

Miguel drives 295 miles in 5 hours. How many miles does Miguel drive in 7 hours? *

Answers

413 miles because you need to do 295/5 to get miles per 1 hour and then multiply it by 7, the needed amount

Answer:

Step-by-step explanation:

If he drives 295 miles in 5 hours that equals to 59 miles in an hour.

So 7 hours at 59 miles per hour is 413 miles.

HELP IS FOR A TEST IF I FAIL MY MOM WILL MAKE ME MOVE SCHOOL· One gym charges an initial fee of $30 and a monthly fee of $10. · The other gym charges a monthly fee of $12. Which equation could be used to find out how many months, m, it would take for both memberships to cost the same? A. 12m + 30 = 10m + 30 C. 10m = 12m 12m + 30 = 10m B. 10m + 30 = 12m​

Answers

Answer:

10m +30=12m

Step-by-step explanation:

y=10x +30

y=12x

Hair grows on your head faster than any other place on your body. Sue was interested in figuring out how fast her hair grows so she measured the growth. After 15 days her hair grew 3 mm. After 50 days, it grew 10 mm. If hair growth can be represented by a linear growth, then a) write a function for the growth G(x) as a function of x= number of days b) how long did it take Sue's hair to grow 17 mm?

Answers

mY HAIR dOesNt GRoW FaStEr oN My HHeAD

50 multiplied by 1,856

Answers

Answer:

92800

Step-by-step explanation:

Brainliest?

Hope this helps

1,856 x 50 is 92,800

Which values of x are solutions to this equation?
х
= 2
O x = 4 or x = 8
O x = 2 or x = 6
O x = -2 or x = 2
OX= -8 or x = 8

Answers

algebra one or two please mark brainlist please

Answer:

X= -8 or x= 8

Step-by-step explanation:

I took the test/quiz

What is the value of x in the figure?
400
709
A.
40°
B.
70°
C.
80°
D.
120°
E.
150°

Answers

Answer:

e

Step-by-step explanation:

this is a math equation, solve the inequality for x. please.

Answers

Answer:

X ≤ 0

Step-by-step explanation:

Trust

Oliver shot 8 free throws at practice, making 6 free throws and missing 2 free throws. If Oliver equally likely to make a free throw as he is to miss a free throw, find the probability of this outcome by expanding (m + n)8. Round to the nearest percent if necessary.

Answers

Answer: m

8 + 8 m 7 n + 28 m 6 n 2 + 56 m 5 n 3 + 70 m 4 n 4 + 56 m 3 n 5 + 28 m 2 n 6 + 8 m n 7 + n 8

Step-by-step explanation: Just use binomial theorem

The probability of this outcome by expanding (m + n)8 is 4.

What is Probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.

Given:

Total free shots = 8

Oliver make free shots =6

Oliver missed free shots = 2

As, Oliver wanted the free throw and the free throw he missed turn both equal.

So,

=8 / 2

= 4.

Hence,  probability of this outcome by expanding (m + n)8 is 4.

Learn more about probability here:

https://brainly.com/question/12629667

#SPJ2

Evaluate the expression 2x-5 when x=3

Answers

Answer:

1

Step-by-step explanation:

as x=3

we substitute x with 3

so 2(3)-5

and 2(3) Is 6

so we do 6-5 which is 1

Answer: The answer is 1

Step-by-step explanation:

the graph shows the proportion of red and blue food coloring ,that taylor mixes to make purple ,what is the slope of the line ?tell what in the problem situation ,math question

Answers

Answer: nothing

Step-by-step explanation:

A company has 40 executives and 120 customer service representatives. If these are the only

employees, what percentage of the employees are executives? Explain how you determined the

percentage of employees are executives.

Answers

Answer:

25%.

Step-by-step explanation:

From the question given above, the following data were obtained:

Number of Executives = 40

Number of customer service representatives = 120

Percentage of the employees that are executives =?

Next, we shall determine the total number of employees in the company. This can be obtained as follow:

Number of Executives = 40

Number of customer service representatives = 120

Total number of employees =?

Total number of employees = (Number of Executives) + (Number of customer service representatives)

Total number of employees = 40 + 120

Total number of employees = 160

Finally, we shall determine the percentage of the employees that are executives as follow:

Number of Executives = 40

Total number of employees = 160

Percentage of the employees that are executives =?

Percentage = Number of Executives/ total employees × 100

Percentage = 40/160 × 100

Percentage = 0.25 × 100

Percentage = 25%

Therefore, the percentage of the employees that are executives is 25%

how to factor (x^3+3x^2)+(25x+75)

Answers

You have to cross and multiply

given a slope of 2 and point (-4,5) write an equation in point slope form

Answers

Answer:

y-5=2(x+4)

Explanation:

Point slope form is:

y-y1=m(x-x1)

We can plug in the point and the slope

y-(5)=(2)(x-(-4))

Remove parenthesis and simplify to:

y-5=2(x+4)

The total number of equally-sized tiles on a circular floor
A. Circumference
B.Area

Answers

Answer:

area

Step-by-step explanation:

area............

The total number of equally-sized tiles on a circular floor is Area.

Given that, the total number of equally-sized tiles on a circular floor.

What is area of a circle?

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle. It may also be referred to as the total number of square units inside that circle.

Hence, the total number of equally-sized tiles on a circular floor is Area.

Learn more about the area of a circle here:

https://brainly.com/question/28642423.

#SPJ3

Find the theoretical probability.
Simplify completely.

Answers

Answer:

[tex] \frac{1}{8} [/tex]

Answer:

The correct answer is 1/4!

Step-by-step explanation:

On Acellus

Have a great day!

A square has sides that measure 6 inches each. What is the ratio of the perimeter of the square to the area of the square?

Answers

Answer:

2 : 3

Step-by-step explanation:

Given the square has a side of 6 in , then

perimeter = 4 × 6 = 24 in

area = 6² = 36 in²

Then ratio of perimeter : area

= 24 : 36 ( divide both parts by 12 )

= 2 : 3

hi, Ryan and Abby I kinda need ur help :)

Answers

Answer:

6, 7, 63, 6, 7, 63, 130.9

Jut pit those numbers in the blanks

Answer:

63

Step-by-step explanation:

You have to multiply 10.5 by 6 and you get 63 then add that to 9.7 multipled by 7 and you get 130.9. Then subtract that by 67.9 and you get 63 to check add 63 to 67.9 and you get 130.9 so thereof the answer is 63.

A pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind

Answers

Answer:

20

Step-by-step explanation:

pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind

The speed can be defined as the ratio distance over time, but in this case the pilot is flying at the speed of the plane as well of speed of the wind. We can denote speed of plane as "s" and speed of the wind as "k"

Then the speed of the plane=(s-k) this is because it is moving in the opposite direction of the wind.

But From the question, the plane distance=400mile and the corresponding time =2.5 h

Then the speed of the plane=(s-k) =400mile/2.5

=160mph

By the time it return from trip, the speed the plane flew with is (s+k) because the wind is at the rear.

From the question, the plane distance=400mile and the corresponding time =2 h

Then (s+k)= (400/2)

(s+k)=200mph

On the last school spirit day, 5 out of every 7 students wore school colors. Based on this information, if 560 students attend the school, write a proportion to determine how many of these students will wear school colors on the next spirit day.

Answers

Answer:400

Step-by-step explanation:

Multiply the total number of students by the ratio given

5/7(560)

The ratio of children to adults at the football game was 23. If there were 140 children at the football game,
how many adults were there?

Answers

Answer:

Therefore, the number of adults at the football game was 6.

Step-by-step explanation:

Let A represents the number of adults and C represents the number of children.

Therefore, the ratio of children to adults is given as follows:

23:1 = C:A ....................... (1)

Since C = 140, this is substituted into equation (1) as follows:

23:1 = = 140:A ....................... (2)

Transforming equation (2) and solve for A, we have:

23 / (23 + 1) = 140 / (140 + A)

23 / 24 = 140 / (140 + A)

0.958333333333333 = 140 / (140 + A)

0.958333333333333 (140 + A) = 140

(0.958333333333333 * 140) + 0.958333333333333A = 140

134.166666666667 + 0.958333333333333A = 140

0.958333333333333A = 140 -134.166666666667

0.958333333333333A = 5.833333333333

A = 5.833333333333 / 0.958333333333333

A = 6.08695652173878

Rounding to a whole number, we have:

A = 6

Therefore, the number of adults at the football game was 6.

I need major help, I don't understand​

Answers

Answer:

4, 10, 16, 22

Step-by-step explanation:

Plug in the variables according to the equation

So for the equation f(x)= 3x-2 plug if you were looking for A you would put A for f(x) and 2 where the x is so it would look like

A= 3(2)-2 which is A= 6-2 = 4

If we do the same for all of them then they would look like:

B= 3(4)-2

12-2= 10

C= 3(6)-2

18-2= 16

D= 3(8)-2

24-2=22

So youre basically replacing the f(x) and x by the table chart

I hope this helped :)

14V + 6 = 2(5 + 7V) - 4

Answers

Answer:

0=0

Step-by-step explanation:

The input is an identity: it is true for all values

Tell me if you need an explanation :)

Answer:

V = Any Real Number

Step-by-step explanation:

14V + 6 = 10 + 14V - 4

14V = 14V

Could be any number

Can someone please help me with this it would be very much appreciated ​

Answers

Answer:

I'm not sure what you're asking, but I got x=45

Step-by-step explanation:

x+3x+x+3x=8x=360 degrees

360/8=45 so x=45

Which one is correct

Answers

Answer:

7

Step-by-step explanation:

Answer:

7 m

Step-by-step explanation:

We see that the the side measuring 6 m corresponds to the side measuring 18 m. Also, the side measuring 8 m corresponds to the side measuring 24 m. In each case, the corresponding side of the right triangle is 3 times larger than the side of the left triangle. We divide 21 m by 3 to get 7 m.

Answer: 7 m

1
X + 5 = -10
(a)
How do I isolate x?
A Add by 5 on both sides
B Subtract by 5 on both sides
Multiply by 5 on both sides
D Divide by 5 on both sides
(b)
X=

Answers

Answer:

Subtract by 5 on both sides.

Step-by-step explanation:

x+5 = -10. if you subtract both sides by 5, you will get x+5-5=-10-5, which can be simplified to x=-15.

Subtracting by 5 on both sides
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