What are the vertex and x intercepts of the graph of the function below
y=(x-4)(x + 2)

Answers

Answer 1

Answer:

x - intercepts: (4,0) and (-2,0)

vertex: (1/2 ,  - 17/2)

Step-by-step explanation:

Part A

To find the x-intercepts you have to set y=0

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

Separate the parenthesis. Solve for  x

x-4 = 0

x= 4

x+2 = 0

x= -2

x - intercepts: (4,0) and (-2,0)

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

Part B

vertex formula for the x: coordinate : -b/2a

Expand the function.

y = 2x^2-2x-8

a = 2

b = -2

c= -8

-b/2a = -(-2)/2(2) = 1/2

vertex x- coordinate: 1/2

Substitute 1/2 back into every "x" in the function to find the "Y" for the vertex.

y = 2(1/2)^2 -2(1/2) -8

y = -17/2

vertex: (1/2 ,  - 17/2)


Related Questions

What’s the answer to this

Answers

Answer:

[tex]x = 2 \\y = 3[/tex]

Step-by-step explanation:

how many 3\4 are in 1

Answers

Answer:

1

Step-by-step explanation:

There is only 1/4 left. 3/4 + 1/4 = 1

Evaluate using suitable identity:
e). 102 × 98​

Answers

Step-by-step explanation:

★ Solution :-

[tex]\sf \longmapsto 102 \times 98[/tex]

[tex]\sf \longmapsto (a + b)(a - b) = a^2 - b^2[/tex]

Here,

a = 100b = 2

[tex]\sf \longmapsto (100 + 2)(100 - 2) = 100^2 - 2^2[/tex]

[tex]\sf \longmapsto 100^2 - 2^2[/tex]

[tex]\sf \longmapsto 10000 - 4[/tex]

[tex]\sf \longmapsto 9996[/tex]

Answer:

9996

Step-by-step explanation:

Algebraic Identity: (a-b)(a+b)=a²-b²

102×98=(100+2)(100-2)

=100²-2²

=10000-4

=9996

Please help!!!!!!!!!!!!!!!!!!!!

Answers

f(3)=g(3)

both intersect at (3,6) but the x coordinate is 3 for both

I need the answers noww plz​
all of them plzzz

Answers

Answer:

1.

a. 70

b.40

c.130

d.130

e.95

f.115

2.

a.102

b.40

c.80

Hope it helps .

plz mark me brainest and follow me to get the answer faster.

Step-by-step explanation:

1.

a. Isosceles right triangle

a° = 180 - (90 + 20)

a° = 180 - 110 = 70

b. Isosceles acute triangle

a° = 180 - (70+70)

a° = 180 - 140 = 40

c. The three angles inside a triangle always add up to 180°

∠A = 180 - (70 + 60)

∠A = 180 - 130

∠A = 50

so a° = 180 - 50 = 130

d. Isosceles acute triangle

∠A = 180 - (65 + 65)

∠A = 180 - 130

∠A = 50

so a° = 180 - 50 = 130

e. The angles of a rectangle add up to 360°

a° = 360 - (100 + 95 + 70)

a° = 360 - 265

a° = 95

f. The angles of a rectangle add up to 360°

2a° = 360 - (70 + 60)

2a° = 360 - 130

2a° = 230

a° = 115

2.

a. Straight angle is 180°

180 - 141 = 39

so x° = 180 - (39 + 39)

x° = 180 - 78

x° = 102

b. The three angles inside a triangle always add up to 180°

180 - (40 + 60)

180 - 100 = 80

opposite angle

x° = 180 - (80 + 35)

x° = 180 - 115 = 65

c. The angles of a rectangle add up to 360°

(x + 20)° + x° = 360 - (90 + 90)

(x + 20)° + x° = 360 - 180

(x + 20)° + x° = 180

x° = 80

please give me a brainliest answer

Which statement about rational numbers is true?
A. All rational numbers are fractions.
B. Rational numbers never have repeating decimals.
C. Some integers are not rational numbers.
D. All fractions containing integers are rational numbers.

Answers

Answer:

A

Step-by-step explanation: Because they can be written as a decimal

Ohio City Burgers charges $6.75 for a
burger plus $.75 for each additional
topping.
Write an equation to determine
how many toppings you can get
with a total of $10.

Answers

Answer: x = (10 - 6.75) ÷ 0.75

Step-by-step explanation:

x stands for the maximum number of toppings you can afford.

10 stands for the amount of money you have (10$).

6.75 is the amount of money spent on the Burger alone.

0.75 is the money spent on each topping with your remaining money.

0.1 is 1/10 of what??///

Answers

Answer:

0.1 is 1/10 of 1as 1 divided by 10 is 0.1so the answer is 1 hope this helps

Step-by-step explanation:

Sami has a set of cards. When she separates the cards into groups of 19, she has 36 groups of cards. How many groups of cards would Sami have if she separated them into groups of 12 instead?

Answers

Answer:

57 groups

Step-by-step explanation:

36*19=684

684÷12=57

(m+n)¹⁰; The 6th term will contain m?n?​

Answers

Answer:

252.m^5.n^5

Step-by-step explanation:


Find the slope of the line that passes through (5, 18) and (9, 9)

Answers

Answer:    slope =  - ⁹/₄  

Step-by-step explanation:      

      The question gives us two points, (5, 18) and (9, 9), from which we can find the slope and later the equation of the line.

Finding the Slope    

The slope of the line (m) = (18 - 9) ÷ (5 - 9)                                      

                                           =   - ⁹/₄  

Checking my answer:

Finding the Equation  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - 9 =   - ⁹/₄ (x - 9)

                     

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

please answer and explain asap

Answers

Answer:

5.2=x

5=y

4x+y=25.8

Step-by-step explanation:

180-94=86

86=15x+8

78=15x

5.2=x

180-94=86

86=17y+1

85=17y

5=y

4x+y=

4(5.2)+5=25.8

Solve S= lw + wh+ lh for h. Hint: Use the distributive property to factor out h.
the
vcloc

Answers

Answer:

[tex]{ \rm{S = lw + wh + lh}}[/tex]

• Group the h terms by organised term arrangement :

[tex]{ \rm{S = (wh + lh) + lw}}[/tex]

• Then using distributive property, factorise out the value h so that the reverse is true.

[tex]{ \rm{S = h(w + l) + lw}}[/tex]

• for the variable "lw", divide it by h in order to add it to the bracket of (w + l). Make sure the reverse is true:

[tex]{ \rm{S = h(w + l) + h( \frac{lw}{h} )}} \\ [/tex]

• finally, completely factorise out the value h

[tex] \hookrightarrow \: \: { \boxed{ \boxed { \rm{ \: \: S = h(w + l + \frac{lw}{h} ) \: \: }}}}[/tex]

Pls help! If you want brainly list please explain pls and ty!

Answers

Answer:

f(x) = -19

g(x) = -10

Step-by-step explanation:

just substitute.

-4(2)^2-3 = -19

-3(4)+2 = -10

Answer:

f(2) = -19

g(4) = -10

Step-by-step explanation:

f(x) = -4x² - 3             g(x)) = -3x + 2

Find f(2)

Technically, we input 2 for x in the function f(x)

Solve:

f(2) = -4(2)² - 3

f(2) = -4(4) - 3

f(2) = -16 - 3

f(2) = -19

Find g(4)

As before, we input 4 for x in the function g(x)

Solve:

g(4) = -3(4) + 2

g(4) = -12 + 2

g(4) = -10

-Chetan K

At a particular restaurant, each slider has 225 calories and each chicken wing has 70 calories. A combination meal with sliders and chicken wings has a total of 7 sliders and chicken wings altogether and contains 1110 calories. Write a system of equations that could be used to determine the number of sliders in the combination meal and the number of chicken wings in the combination meal.

Answers

Answer:

The appropriate equation for the above mentioned conditon would be

x+y=7

225x+70y=1110

Step-by-step explanation:

As mentioned in the question the meals contain just two delicacies (i.e. sliders and chicken wings)

Let the number of Sliders be represented by “x”

Let Number of Chicken wings be represented as “y”

As given in the question the total number of sliders and chicken wings equals 7

Hence  x + y =7… Equation 1  

Further, it is mentioned that each slider carries worth 225 calories of energy and chicken wing carries 70 calories of energy. Total calorie of a meal which contains sliders and wings is 1110 calories.

Thus, Total energy carried by sliders individually = total sliders* energy carried by one slider= 225x

Similarly, Total energy carried by wings individually = total chicken wings* energy carried by one wing= 70y

Thus 225x+70y=1110

44 divided by 469 is what

Answers

Answer:

0.09381663113

Step-by-step explanation:

-1/2-(-5/9) with explanation!

Answers

Answer:

8/9

Step-by-step explanation:

-1/2-(-5/9)

solution.

-2-(-5/9)

3/9 + 5/9

5+3/9

ans=8/9

Your camera determines the focal distance required for your picture to be in focus using the lens equation, 1−1=1, where the focal distance to the object from the lens(D)is related to the focal length (F)and the distance from the lens to the film (S).If an object is placed 8 cm from a lens with a focal length of 4 cm, how far from the lens is the image (film) formed?

Answers

If an object is placed 8 cm from a lens with a focal length of 4 cm, the image is 8 cm from the lens

Let the focal length be represented by f

Let the distance between the object and the lens be represented by u

Let the distance between the image and the lens be v

The focal length, f = 4 cm

The distance between the object and the lens, u = 8cm

The distance  between the image and the lens, v = ?

The relationship between the focal length (f), distance between the object and the lens (u), and the distance between the image and the lens (v) is given below:

[tex]\frac{1}{u} + \frac{1}{v} = \frac{1}{f}[/tex]

Substitute f = 4, and u = 8 into the equation above:

[tex]\frac{1}{8} + \frac{1}{v} = \frac{1}{4} \\\\\frac{1}{v} = \frac{1}{4} - \frac{1}{8}\\\\\frac{1}{v} = \frac{2-1}{8}\\\\\frac{1}{v} = \frac{1}{8}\\\\v = 8[/tex]

Therefore, the image is 8 cm from the lens

Learn more here: https://brainly.com/question/19146043

What is the solution to the system of equations

Answers

Answer:

Step-by-step explanation:

line A

0,4 and 1,6

gradient = y2-y1/x2-x1

6-4/1-0

=2

it starts at y=4

put that into equation =2x+4

line B

0,12 and 3,10

gradient

10-12/3-0

=-2/3

it starts at y=12

put that into equation=-2/3x+12

Type a digit that makes this statement true.
936,44_
is divisible by 10.

Answers

Answer:

0

Step-by-step explanation:

Any number that ends with a zero is divisible by ten

7. Points A, B, and L are coplanar.
8.JL lies on plane K.
9.DF intersects AC.
10.Points D F and E are collinear

Answers

Answer:

a

Step-by-step explanation:

axhhdhhdlwsk

will mark brainliest answer​

Answers

Answer:

1/2

Step-by-step explanation:

hope it helps :)

Please help, you just find the answer and follow the arrow that the answer was on and continue until you reach the finish block.

Answers

Answer:

i cant see the question do u mind stating it?

is the value of 2a+3b Prime or composite when a=11 & b=7​

Answers

Answer:

Prime

Step-by-step explanation:

1. Let's plug in the values of a and b then simplify.

[tex]2(11)+3(7)[/tex] [tex]22+21[/tex] [tex]43[/tex]

2. Okay, now let's find the factors of 43:

1, 43

3. Since 43 has the factors of only 1 and itself, it's prime.

Amy cut 32 feet of chain into pieces that were each ft long. How many of these pieces did Amy have after cutting the chain?

Answers

If they are all a foot long then she should have 32 pieces of Chain
128 I think bc Amy cut 32 feet of the chain

Olivia wants to clean her mansion, so she decides to hire a cleaning company. Company Fabuloso charges an initial hiring fee of $50 plus $30 per hour. Company Clorox charges an initial fee of $70 plus $25 per hour. After how many hours will it cost the same for both companies?

Answers

Answer:

4hrs

Step-by-step explanation:

Fabuloso charges = 50 + 30x = 80

Clorux charges = 70+25x = 95

£15 difference =( 3 * 5 ) = 30-25 = 5 = 15/3

= 3hrs + 1st hour = 4hrs

Fabuloso charges = 50 + 30(4) = 80+90 = $170

Clorux charges = 70+25(4) = 95 + 75=$170

= 4hrs

4.445+3.252=
pake caranya ya tolong ya

Answers

Answer:

4.445 + 3.252 = 7.697

Step-by-step explanation:


Raisins were $700 for a measure, where as plums cost $900 a measure. David and Bruce
bought 50 measures and spent $41,000. How many measures of raisins did they
buy

Answers

Answer:

20 measures of raisins

Step-by-step explanation:

700 r + 900 p = 41000 ...... (1)

r + p = 50 ⇒ p = 50 - r ....... (2)

(2) ------> (1)

700 r + 900( 50 - r ) = 41 000

700 r - 900 r = 41000 - 45000

- 200 r = - 4000

r = 20 measures

plz help me with 13-16

Answers

Answer:

13) [tex]x = 10[/tex]

14) [tex]x = 22[/tex]

15) [tex]x = 12[/tex]

16) [tex]x = -15[/tex]

Step-by-step explanation:

13) [tex]4x+5x=9x;90/9=10[/tex]

14) [tex]45-1=44;44/2=22[/tex]

15) [tex]37-1=36;36/3=12[/tex]

16) [tex]-54+26=-28;x-28=3x+2;x=-15[/tex]

18 less than 5 times a number is 52. What is the number?

Answers

Answer:

14

Step-by-step explanation:

5x-18=52

Add 18 to both sides

5x = 70

Divide 5 to both sides

x = 14

The required number is 14.

Let's solve the problem step by step:

Let's assume the number is "x."

"5 times a number" can be expressed as 5x.

"18 less than 5 times a number" can be written as 5x - 18.

According to the problem, "18 less than 5 times a number is 52." So we can write the equation:

5x - 18 = 52

Now, let's solve the equation to find the value of x:

Add 18 to both sides of the equation:

5x - 18 + 18 = 52 + 18

5x = 70

Divide both sides of the equation by 5:

(5x)/5 = 70/5

x = 14

Therefore, the number is 14.

Learn more about equation click;

https://brainly.com/question/29538993

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