what is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)​

Answers

Answer 1

9514 1404 393

Answer:

  x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

  x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

  x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.


Related Questions

What is the slope of the line ?

Answers

Answer:

B. -2

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

-2

1

= -2

θ =  

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 3 – 0 = 3

ΔY = -2 – 4 = -6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Answer from Gauth math

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Hi ,I need help. pls?

Answers

The answer is x is equal to 2

PLEASE HELP ME!. I will give thanks, 5 star rating, and brainly to the most helpful answer, and I will report unrelated answers, so don't try me.


Three vertices of a parallelogram are (0,1), (2,0), and (2,5). Label all the possible location(s) of a fourth vertex.

Answers

Answer:

(0, 6), (4, 4), and (0, -4)

Step-by-step explanation:

basically you pick 2 sides (each with endpoints at two of the three verticies) to be the adjacent sides, and then you can easily find the fourth vertex for each case.

The graph represents the system of inequalities shown below. Determine whether the statement that follows the graph is true or false.

Answers

Answer:

false

Step-by-step explanation:

there is no graph...

Chọn bốn ví dụ sau Ví dụ nào không phải là phân số
A.3/-5 B.1,7/3 C.0/2 D.-13/-4

Answers

Answer:

a

Step-by-step explanation:

vì số âm không nằm ở dưới

The temperature falls from 0 degrees to - 123 degrees in 3 hours. Which expression finds the change in
temperature per hour? ?
7 49
024
-
7 49
0 -24
49 7
0 -1
0
49 7
4 -

Answers

Answer:

D

Step-by-step explanation:

Change=Temperature/Time

Change=(-49/4)/(7/2)

ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?

Answers

Answer:

180 degrees

Step-by-step explanation:

ABCD is now opposite where it started, so it was rotated 180 degrees

I hope this helps!

Answer:

180 degrees

Step-by-step explanation:

what is soil erosion​

Answers

Answer:

Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.

It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.

Algebra 1 need help fast

Answers

Answer:

1st option

Step-by-step explanation:

at the 3rd hour, the money was $100

At 7th hour, the money increased to $160

Now, the rate is,

(160-100)/(7-3)

= 60/4

= 15

so, $15 per hour

Evaluate the expression 34 ÷ (14 − 5) × 2.
I'm pretty confused can someone explain it to me? I will give branliest

Answers

Answer:

[tex]7\frac{5}{9}[/tex]

Step-by-step explanation:

Hi there!

We are given this expression:

34÷(14-5)×2

And we want to evaluate it

We'll be using the order of operations

Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

The order of operations states that we should start with any expressions in parentheses

In this case, it's (14-5), which is equal to 9

The expression now becomes

34÷9×2

There are no exponents, so let's skip that

Now this is where it gets tricky:

Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication

Divide 34 by 9

[tex]\frac{34}{9}[/tex]×2

Now multiply [tex]\frac{34}{9}[/tex] by 2

[tex]\frac{68}{9}[/tex]

(as a mixed fraction, it's 7[tex]\frac{5}{9}[/tex])

Hope this helps!

the ratio of 62 miles to 100 kilometers

Answers

9514 1404 393

Answer:

  0.99779328

Step-by-step explanation:

The exact conversion factor is ...

  1 mi = 1.609344

Then 62 miles is 62×1.609344 km = 99.779328 km.

The ratio of this to 100 km is ...

  99.779328/100 = 0.99779328 . . . . ratio of 62 miles to 100 km

What is the result of rounding 8,888,888 to the nearest ten?

Answers

Answer:

8,888,890

Step-by-step explanation:

yup yup

( 2 + 3 ) ^-1 x ( 2 ^-1 + 2^-1 )

Answers

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boxed{ \boxed{\boldsymbol{Rule : a^{-1}=\frac{1}{a} }}} \\\\\\\\ (2+3)^{-1} \times (2^{-1}+2^{-1}) = \\\\1)\ (2+3)^{-1}=5^{-1}=\frac{1}{5} \\\\2)\ 2^{-1}+2^{-1}=\frac{1}{2} +\frac{1}{2} } =1 \\\\3)\ \frac{1}{5} \cdot 1=\boxed{\frac{1}{5} }[/tex]

The option which is not a solution of the equation 2x + 3y = 6 is:
(A) (0, 2)
(B) (1, 1)
(C) (-3, 4)
(D) (3, 0).​

Answers

Answer:

Step-by-step explanation:

B OR TRUE

Look at photo I tested each thing, your answer to this question in option B

Solve the following.
2x^2-7x-4/6x^2+7x+2<0
Can someone explain how to solve this.

Answers

Answer:

Which one have same variable gather or decrease up

Step-by-step explanation:

2x^2-4.6x^2=1.4x^2

-7x+7x=0

1.4x^2+2<0

x<0

if set a is 12345 and Set B is 23 find a union B and find a intersection b​

Answers

Answer:

a union b= {1,2,3,4,5}

a intersection b ={2,3}

Step-by-step explanation:

The union of two sets A and B is a set that contains all the elements of A and B and is denoted by A U B

the set composed of all elements that belong to both A and B is A intersection B (A ∩ B)

Which graph represents the solution set to the following system of linear
inequalities?
ys2x+7
y>-3x-2
PLSS HELP!

Answers

Answer:

Step-by-step explanation:

I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7

-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D

-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution

--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution

Answer:

1 4/5

Step-by-step explanation:

2x+7>-3x-2

2x+3x>-2-7

5x/5>-9/5

=1 4/5

Thanks Hope It Help

56 is less than the square of 10 ​

Answers

Let X be the positive number.

From the given condition, we get X = X^2–56

=> X^2-X-56=0

Factorizing the above equation,

=> X^2–8X+7X-56=0

X(X-8)+7(X-8)=0

(X-8)(X+7)=0

X=8 or -7

Since it is said the number is positive. Our output number will be 7


Write down a decimal that is more than 7/11 and less than 7/9
will award brainiest!!

Answers

Answer:

0.7

Step-by-step explanation:

7/11 = 0.63636363

7/9 = 0.777777778

so a decimal between them will be, 7/10 = 0.7

BRAINLIEST

HOW CAN POSTULATES AND THEOREMS RELATING TO SIMILAR AND CONGRUENT ANGLES BE USED TO WRITE A PROOF?

Answers

Answer:

How can postulates and theorems relating to similar and congruent triangles be used to write a proof? If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar. ... If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.

Step-by-step explanation:

Hope this helps :D good luck!!

if √x-5 varies directly as y and x=30 when y= 2, find the value of x when y=8.​

Answers

Answer:

let,

√x-5=ky

x=30 when y=2

√30-5=2k

or, k=(√30-5)/2

now, when y=8

√x-5=8×(√30-5)/2

or, √x-5=4√30-20

or, √x=4√30-15

or, x=(4√30-15)²

or, x=47.73..

A circle has a radius of 8cm. An angle of 1.4 radians is subtended at the center by an arc. Calculate the length of the arc

Answers

Answer:

11.2 cm

Step-by-step explanation:

Given that;

Arc Length Formula (if θ is in radians): l = ϴ × r

ϴ = angle subtended in radians

r= radius of the circle

l = 8cm × 1.4 radians

l= 11.2 cm

A set of composite number less than 12.Express it in listing and set-builder methods

Answers

composite numbers less than 12={1,3,4,6,8,9,10}

HELPPP HELP PLS PRONTO ASAP
Ahmed is working at a restaurant. His boss pays him $16.00 per hour and
promises a raise of $1.25 per hour every 6 months. Which sequence
describes Ahmed's expected hourly wages, in dollars, starting with his current
wage?

Answers

Answer:

B

Step-by-step explanation:

each of the numbers is just adding 1.25 on to it

Answer: Choice B

16.00, 17.25, 18.50, 19.75, ...

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

Explanation:

We start with $16.00 as the first term, as this is the amount the boss pays him initially. Then we add on 1.25 to get 16+1.25 = 17.25 to represent the next wage after that first raise.

Then after the second raise he gets, he'll then earn 17.25+1.25 = 18.50 an hour. This process theoretically can go on forever, but realistically the boss will likely set some kind of limit.

We say that this sequence { 16.00, 17.25, 18.50, 19.75, ... } is arithmetic with the first term of 16.00 and common difference 1.25

The common difference is the gap width between any two neighboring terms, and it's the amount the wage goes up each time he gets a raise.

Find the volume of this cylinder please..

Answers

Answer: 825

Step-by-step explanation:

Plug in the values for v = π*r²*h

So, your new equation is v = π*5²*11 (I got 5 because 10 is the diameter, the radius is half the diameter, therefore r = 5.)

The question is also telling us to replace π with 3.

now we solve, after gathering all of our information.

v = 3*5²*11

v=3*25*11

v=75*11

v=825

What is the name of an investment that pools money from many investors in
order to acquire a large variety of stocks, bonds, and other investments?
A. Derivative
B. Mutual fund
C. Annuity

Answers

Answer:

Mutal fund because its a formerly greatest instruments

The name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.

What is investment?

Investment is traditionally defined as the "commitment of resources to achieve later benefits

A mutual fund is a type of investment vehicle that pools money from multiple investors to invest in a diversified portfolio of stocks, bonds, and other securities.

Mutual funds are managed by professional fund managers who use the pooled funds to purchase a range of investments, with the goal of generating a return for the investors.

Investors in mutual funds own shares in the fund, and the value of their investment is based on the performance of the underlying securities held by the fund.

Mutual funds offer investors the benefits of diversification, professional management, and ease of investment, as well as the ability to invest in a variety of asset classes with relatively low minimum investment requirements.

Hence, the name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.

To learn more on Investment click:

https://brainly.com/question/15353704

#SPJ7

In the figure below j ll h find the values of x and y

Answers

Answer:

26

Step-by-step explanation:

Given: Lines J and H are parallel lines. O intersects both lines equally.

Since two angles equal 180, that will be what  (4y + 12) and 64 will be equal to.

(4y + 12) + 64 = 180

76 + 4y = 180

-76          -76

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

    4y = 104

      y = 26

x and y is both 26 because they are vertical angles.

Hope this helped.

(6 1/4)^4

Answer fast or i will report you

Answers

Answer:6

Step-by-step explanation: The rules of exponential says (a^x)^y=a^xy.

Therefore you will multiply 1/4 with 4 to get an exponent of 1. So the answer is 6^1 which is also written as 6

In XYZ, what is the cosine ratio of X?

Answers

Answer:

c) 12/15 = 4/5

Step-by-step explanation:

imagine we mirror the triangle up, so that Z is on top.

then you can clearly see that 6 is cos(X) times r (and r is then 7.5).

XY is sin(X)×7.5

and again, 7.5 is r (the line making the X angle).

so, the cosine ratio of X is

6 = cos(X)×7.5

cos(X) = 6/7.5 or then 12/15. or simplified 4/5.

yea the person on top is right, bc I also got that correct on my test LMFOAOA

Vanessa and her friends are watching three movies consecutively. The first movie is 2 hours and 17 minutes long. The second movie is 84 minutes long, and the last movie is 99 minutes long. How much time will they spend watching the movies?

Answers

Answer:

320 minutes (5 hours and 20 minutes).

Step-by-step explanation:

2 hours and 17 minutes = 137 minutes

137 + 84 + 99 = 320

Therefore, they will spend 320 minutes (5 hours and 20 minutes) watching movies.

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What is the range of the function f(x) = 3x2 + 6x 8? O {yly > -1}O {yly < -1} O {yly > -11}O {yly < -11} In general, increasing price above the market equilibrium price will _______ consumer surplus and ________ producer surplus. Total surplus will _______. Reducing price below market equilibrium will ________ consumer surplus and _______ producer surplus. Total surplus will _______. Thus regulators _______ increase benefits to one group or the other, but the market ______ be efficient.The tax incidence is the:_____ a. average tax burden borne by buyers and sellers. b. actual tax burden borne by buyers and sellers. c. absolute tax burden borne by buyers and sellers. d. relative tax burden borne by buyers and sellers. if the mean of x1,x2,x3 and x4 is 6 then find the mean of x1+10,x2+8,x3+16 and x4+2 The mass of 5 m' of copper is 44 800 kg. Work outthe density of copper. Mode of action of aldehydes and Quaternary ammonium compounds is why the attitude toward the Etruscan rule changed over time. when carbon is heated in a limited supply of oxygen, a gas is obtained.1 .what is the name of this gas choose the equation that satisfies the data in the table establish this identity why solid keep their shape? Evaluating functions (pic attached) The aerobic exercise helps to increase:__________ a. flexibilityb. cardiorespiratoryc. musculoskeletal fitnessd. the ability to perform moderate-to-high-intensity activity involving large muscle groups for long periods of time. Two containers designed to hold water are side by side, both in the shape of acylinder. Container A has a diameter of 10 feet and a height of 8 feet. Container B hasa diameter of 12 feet and a height of 6 feet. Container A is full of water and the wateris pumped into Container B until Container A is empty.To the nearest tenth, what is the percent of Container B that is empty after thepumping is complete?Container AplayContainer B10d128h6O How many atoms are in .45 moles of P4010 NOW ASAP PLEASE NEED FAST ANSWERRRRRRRRRRRRRRRR The population of a town is 157,220 and is decreasing at a rate of 0.8% each year. Predict the population in 5 years (round to the nearest whole number). What responses were triggered by the Wilmington Ten case? Check all that apply.People believed they had been wrongly accused. The governor sent the National Guard to escort the students to school. The case sparked an outcry and gained international attention. North Carolina created busing programs to speed up school integration.Thousands marched in Washington to demand their release. what measures should be taken to improve the health status of your community? If in 1 month you can make 6 carpets, how many days will it take for making 10 carpets?Si en 1 mes puedes hacer 6 alfombras, cuntos das se necesitarn para hacer 10 alfombras? Solve the equation 10 + y = 14