Mathematics High School

The function f is given by f(x)= (x-2) (x+4) . Without using graphing technology, answer the following questions. (graph included)

1) What are the x-intercepts of the graph representing f?

2) What are the x- and y-coordinates of the vertex of the graph?

please help!!

The Function F Is Given By F(x)= (x-2) (x+4) . Without Using Graphing Technology, Answer The Following

Answers

Answer 1

Answer:

x-intercepts = -4 and 2

vertex (-1, -9)

Step-by-step explanation:

To find the x-intercepts ie roots

set the equation to 0

(x - 2) (x + 4) = 0

From the zero product rule

x - 2 = 0

x = 2

x + 4 = 0

x = -4

x-intercepts = -4 and 2

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

The x coordinate of the vertex is the midpoint of the roots

x = (-4 + 2)/2

x = -1

Plug x = -1 into the function

y = (-1 - 2)(-1 + 4)

y = -3 * 3

y = -9

vertex (-1, -9)

Related Questions

Using the Pythagorean theorem what is the distance between (5,-3) and (9,1)

Answers

Step-by-step explanation:

Distance between (5,-3) and (9,1)=√(9-5)^2+(1-(-3))^2

=√4^2+4^2

=√16+16

=√32 units

It's not possible to calculate the distance between these points by pythagoras theorem .We can easily calculate it by distance formula I.e.√(x2-x1)^2+(y2-y2)^2

Factorise: 5x + 25
with the steps ​

Answers

Answer:

5(x + 5)

Step-by-step explanation:

The first step is to divide, so:

5 ÷ 5 = 1

25 ÷ 5

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

So then:

5(x + 5)

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

Have a good day :)

Answer:

5(x+5)

Step-by-step explanation:

5x + 25

5*x + 5*5

Factor out a 5

5(x+5)

Dana is creating a video. Her computer shows that the video is 265.038 seconds long. She writes the length of the video in expanded form. Which expression represents the value of one of the digits in the length of Dana's video?

Answers

Options aren't supplied. However, a list of possible answers have been worked out.

Answer:

Kindly check explanation

Step-by-step explanation:

In expanded format :

256.038 can be broken down as :

2 represents 200 ; 2 hundred = 2 * 100

5 represents 5 tens = 50 = 5 * 10

6 represents 6 unit = 6 * 1

0 represents 0 tenths

3 represents 3 hundredths = 3 * 1/100

8 represents 8 thousandths = 8 * 1/1000

The options aren't given, but the answer would be among the values listed above

What is the first step in solving k in the equation k + 2 = 15 ?

Answers

Answer:

13

Step-by-step explanation:

subtract 2 by 15 to get 13

k = 13

Subtracting by -2 on both sides to get k=13

I don't quite understand this scatter plot
​

Answers

1/2 2&/ 272728182 1/679

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer: the answer is b

Step-by-step explanation:

B) 14x^2+37x+5
hope this helps!

Jasmine had an average daily balance of $1,608.24 for the last billing cycle, which had 31 days. If her credit cards charges an APR of 22.99%, what would her finance charges be for the last billing cycle?

Answers

Answer:

Finance per billing cycle = $ 30.91

Step-by-step explanation:

First, we will calculate the APR for 1 day:

APR per day = (22.99%/year)(1 year/12 month)(1 month/31 days)

APR per day = 0.062 % / day

Now, we will calculate the finance per day:

Finance per day = (Daily Balance)(APR per day) = ($ 1608.24)(0.062 %/day)

Finance per day = $0.99/day

Now, we will calculate the finance for one billing cycle:

Finance per billing cycle = (Finance per day)(31 days) = ($ 0.99/ day)(31 days)

Finance per billing cycle = $ 30.91

Samantha saw two bottles of ketchup at the store for the same price. One bottle contained 4 pints of ketchup, and the other contained 1.25 quarts of ketchup.

Which bottle was the better bargain?

Answers

Answer:

The 4 pint ketchup bottle was the better bargain.

Step-by-step explanation:

To find which bottle was the better bargain, find which one had the most amount of ketchup in it.

In one quart, there are 2 pints.

Convert the 1.25 quart bottle to pints by multiplying 1.25 by 2:

1.25(2)

= 2.5

Since 4 is larger than 2.5, the 4 pint bottle of ketchup has more.

So, the 4 pint ketchup bottle was the better bargain.

will give brainliest to the correct answer (no links or account will be reported) :)

Answers

The answer to your question is 122 degrees.

Answer:

122

Step-by-step explanation:

64 + 58 = (l)

(l) = 122

Explain how you use a net to find the surface area of a prism.

Answers

Answer:

lay the net out with numbers then add all of them

Step-by-step explanation:

Lay out the numbers and then add them step by step

(pls help no links or you get reported) If a ÷ b = 4, what does b ÷ a equal?

Answers

Answer:

8 divided by 2

so NOW we do it the other way

2 divided by 8 = 0.25

Step-by-step explanation:

a = 8

b = 2

Answer:

it's 8 divided by 2? so 2 divided by 8 is .25

Step-by-step explanation:

f(x) = 3x - 1

Consider the function below. Find f(x) = 32 *find x value*

Answers

Answer:

f(32) = 95

Step-by-step explanation:

f(32) = 3(32)-1

f(32) = 96 - 1

f(32) = 95

Hope this helps have a great day

Simplify as far as possible.
1
3cos (180° + x)sin (360° - X)
sin (360° + x)cos (180° - x)​

Answers

Answer:

See below

Step-by-step explanation:

cos (180 + x) = - cos x

sin (360 + x) = sin x

sin 360 - x) = -sin x

cos (180 - x) = - cos x

3cos (180° + x)sin (360° - X) = -3cos x (- sin x) = 3 cosx sinx

sin (360° + x)cos (180° - x)​ = sin x (- cos x) = -sinx cosx

3cos (180° + x)sin (360° - X)sin (360° + x)cos (180° - x)​

= 3 cosx sinx (-sinx cosx) = -3 (sin x)^2 (cos x)^2

I am not sure what the question really is, but hopefully the above can steer you in the right direction.

Easy math please help!!

James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need? (Your answer should just be a number.)

Answers

Answer:

48

Step-by-step explanation:

x
HELP ASASP PLEASE emrgency​

Answers

Answer:

-2x + (-3) = x

x = -1

Step-by-step explanation:

-2x + (-3) = x

add 2x to each side

-3 = 3x

divide each side by 3

-1 = x

Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)? A. .34 B. .51 C. .17 D. .68

Answers

Answer:

0.51

Step-by-step explanation:

Mathematically, for two individual events;

P(AnB) = P(A) * P(B)

P(A n B) = 0.6 * 0.85 = 0.51

Answer:

.51 (B)

Step-by-step explanation:

Solve the following:
A man borrowed a Rs 5000 from a money lender for 5 years at the rate of 8% per annum. How much interest did he pay for 5 years? Also find the amount.​

Answers

Answer:

Interest = Rs 2000

Amount = Rs 7000

Step-by-step explanation:

Amount = Principal + Interest

Given

Principal = Rs 5000

Interest= PRT/100

Interest = 5000*8*5/100

Interest = 50*40

Interest = Rs 2000

Amount after 5years = 5000 + 2000

Amount after 5years = Rs 7000

Which scatter plot represents the given data?

x | 1 | 1 | 2 | 2 | 2.5 | 2.5 | 4 | 4 | 6 |

y | 3.9 | 6.3 | 3.4 | 5.1 |1.4 |8.5| 8.7 | 1.3 | 7.9|

Im so confused! How do I solve this??

Answers

Answer:

The second Image

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x = 4

Step-by-step explanation:

The angle next to (adjacent to) 19x + 3 is 180 degrees less (19x + 3):

180 - (19x + 3)

and the three interior angles of the triangle must sum up to 180 degrees:

11x - 2 + 180 - 19x - 3 + 9x + 1 = 180, or

11x - 2 - 19x - 3 + 9x + 1 = 0

Combining like terms, we get:

x = 4

If Linda is at the store and can buy any two fruits (the store sells apples, oranges, pears, bananas, and kiwis), how many combinations of fruit can she choose?

Answers

Answer:

its 15

Step-by-step explanation:

i took the test and got it right

good luck!!

1/2 inches= 1 1/2 feet

Answers

Answer:ummmm not equal

Step-by-step explanation:

Answer:

1 1/2 feet=18 in

Step-by-step explanation:

PLEASE HELP WITH GEOMETRY!! WILL GIVE BRAIN!!!

Answers

the answer to this question is d

Answer:

Solution given:

opposite side=9.2

adjacent=8

angle=?

Relationship between opposite side and adjacent is given by Tan angle

Tanx°=opposite side/adjacent

x°=Tan -¹(9.2/8)

x°=48.99

x=49°

Option first.

Which pair of angles must be supplementary?
A. <1 and <5
B. <5 and <3
C. <4 and <5
D. <4 and <1

Answers

Answer:

I think C but I could be wrong

Step-by-step explanation:

Raphael went to the store and bought 2 1/2 pounds of chicken for $9.00. What was the cost per pound of the chicken? Round your answer to the nearest CENT, if necessary. A: $0.28 B: $3.60 C: $22.50 D: $360.00

Answers

Answer:

3 3/5

Step-by-step explanation:

Raphel bought 2 1/2 pounds of chicken for $9

Therefore the cost per round of the chicken can be calculated as follows

9÷5/2

= 9×2/5

= 18/5

= 3 3/5

What are the coordinates of point G of the pre-image? (-2, 1) (-4, 2) (-12, 0) (-32, 16)

Answers

Answer:

(-12,0)

Step-by-step explanation:

(-12,0)

(-4,2)

Answer:

A or (-2, 1)

Step-by-step explanation:

Hi how are you ! What is this answer ?

Answers

Answer:

Step-by-step explanation:

take angle U as reference angle

using sine rule

sin U=opposite /hypotenuse

sin U=42/42

sin U=1

sin 90=1

therefore angle U=90 degree


The area of a rectangular window is 8217 cm
If the length of the window is 99 cm, what is its width?

Answers

The width is 83 cm because 99*83 is 8217

What percentage of the data values falls between the values of 3 and 24 in the data set shown?

25%

50%

75%

100%

I will mark Brainliest ​

Answers

Answer:

100%.

I strongly think I’m right.

Step-by-step explanation:

Write each binomial square as a trinomial. [tex](x-6)^2[/tex]

Answers

The answer is: X^2 - 12x + 36 hope that helps

Find the volume of this cylinder. Use 3 for .
5 ft
V = ar2h
12 ft
V V [?]ft3
PLEASE HELP
MEEEEEE

Answers

Answer:

225ft³

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is the answer

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