Please help!! ill give 20pts

1) y=x2+24x+43

find the vertex form by completing the square SHOW ALL WORK!!!

2) Given the function f(x)=−x2+8x+9, state whether the vertex represents a minimum or maximum point for the function. Explain your answer.

Answers

Answer 1

Answer:

1.   Vertex is (-12, -101)

2.   Vertex is (4, 25)

Step-by-step explanation:

1)

[tex]y = x^{2} + 24x + 144 + 43 - 144\\ = (x + 12)^{2} - 101[/tex]

Vertex is (-12, -101)

2)

[tex]y = -x^{2} + 8x + 9\\ = -(x^{2} - 8x + 16) +9 + 16\\ = -(x - 4)^{2} + 25[/tex]

Vertex is (4, 25)


Related Questions

how do u find surface area for this​

Answers

Answer:

416.23

Step-by-step explanation:

A=a2+2aa2

4+h2=102+2·10·102

4+152≈416.22777

Answer:

find the areas of the individual triangles then add those ares

together.

Step-by-step explanation:

a ladder is 6 ft 9 in tall how tall is it in inches​

Answers

6ft 9 is 81 inches.

Answer:

81 in

Step-by-step explanation:

1 ft=12in

12x6=72in

72+9=81

Determine the domain of the following graph:

Answers

Answer:

[0,11)

Step-by-step explanation:

the function is defined over {0,11) because it includes x=0, but has an open dot at x=11.

Helpppppp me pleaseeee

Answers

Answer:

3. C

4. D

Step-by-step explanation:

1. add flat fee to each song.

2. Multiply 0.15 by 25 then add 10

first is C
second is D

How much will 9 pencils cost if 6 pencils cost $1.68?

Answers

Answer:

$2.52

Step-by-step explanation:

1.68/ 6 = $0.28 each pencil

0.28 x 9 = $2.52

The Vincent family played a game of basketball. For each game, Ben kept a record of the number of 2-point baskets he attempted, and the number of 3-point baskets he attempted. After the family played several games, he made a scatter plot of the data using the 2-point shots as the x-variable and the 3-point shots as the y-variable. The scatter plot has a line of best fit with the equation y=1.2x+3.1

Answers

Answer:

your answer is The y-intercept represents how many 3-point shots Ben will try to make if he attempts 0 2-point shots.

Step-by-step explanation:

Answer:The y-intercept represents how many 3-point shots Ben will try to make if he attempts 0 2-point shots.

Step-by-step explanation:

Mr. Armstrong went to Target to buy four pairs of dress socks. There was a 30% off sale
on the socks, and his total bill before tax was $14. What was the price of each pair of socks
before the sale?

Answers

Answer: $5

Step-by-step explanation:

We should note that since there was a 30% off sale, it means that he paid for 70% (100% - 30%) of the sales price.

Therefore, let the price of the socks be represented as x.

70% of x = 14

70/100 × x = 14

0.7 × x = 14

0.7x = 14

x = 14 / 0.7

x = 20

Therefore, the price of the socks was $20. Since there are 4 pairs, each pair will be:

= $20 / 4

= $5

what is 7 -7/8 by the way this is a fraction question

Answers

Answer: 6 1/8

Step-by-step explanation:

6 1/8 that's what I got but I'm not sure

Which pairs of expressions are equivalent

More the 1 answer

Answers

Answer:

The first 3 pairs of expressions are equivalent.

Step-by-step explanation:

A = 1
2 × (15 + 20) × 16
B = 1
2 × 15 × 20 × 10
C = 1
2 × (15 + 20) × 10
D = 1
2 × (10 + 16) × 20

Answers

Answer: a

Step-by-step explanation:

Find the equation of the line that is parallel to the line y=-3x-7 and passes through the point (1,2). Write an equation in slop intercept form

Answers

Answer:

y=-3x+5

Step-by-step explanation:

y=-3x-7

slope is -3

parallel lines have the same steepness, they have the same slope.  The slopes are equal.

y-y1=m(x-x1)

y-2=-3(x-1)

y-2=-3x+3

y=-3x+3+2

y=-3x+5

michalle bought a new tablet for 360 last month now it priced at 280 what is the percent of change in price of the tablet

Answers

Answer:

Step-by-step explanation:

%change=100(280-360)/360

%change=-200/9%

%change=-22.22% (to nearest hundredth)

Which of these is equivalent to x + 1 + x + 2 + x + 3 + x + 4?

Answers

Answer:

what are the options?

Answer:

x + 1 + x + 2+ x + 3 + x + 4

4x + 10

2( 2x + 5)

hope it helps

Show that the triangles are similar and write a similarity statement.
F.
5
G
24
15
18
H
16.5 J 5.5 K
HG
HJ
GJ
II
II
So AGHJ~A

Answers

Answer:

the circle is a square so that means a triangle is a circle

Step-by-step explanation:

Need help ASAP!! What is the value of x?

Answers

Answer:

98

Step-by-step explanation:

the exterior angle is equal to the sum of the opposite interior angles

-Sumin <3

Answer:

98

Step-by-step explanation:

53+45+x = 180

53+45=98

180-98=82

82 (interior)

82+98=180

x = 98

A linear equation is an equation whose graph is a straight line.

Answers

Answer:

True

Step-by-step explanation:

Plotting the point of any linear equation on a graph gives a straight line

Answer:

True

Step-by-step explanation:

Solve for

Help me please

Answers

Answer:

x = 7

Step-by-step explanation:

tan 30 = x/7√3

tan 30 = 0.5774

x = 0.5774(7√3)

x = 7

What is tan K?

please show your work

Answers

Since it’s angle K, 51 will be the hypotenuse, 45 will be the adjacent, and 24 will be the opposite. And since we’re looking for tan, which is the opposite over the adjacent, 24 is the opposite, and 45 is the adjacent. In conclusion, tan K = 24/45

solve 35% of 84 using the mental method

Answers

Answer:

29 approximately

Step-by-step explanation:

You want to estimate 35% of 84.  35% is roughly equivalent to 1/3, so multiply 84 by 1/3 (or, equivalently, divide 84 by 3), obtaining 28.    Use a calculator to find 0.35(84):  29.4.     This 28 is a fairly good estimate of 35% of 84 which is 29.4.

A ball is thrown into the air with an upward velocity of 44 ft/s. It’s height h in feet after t seconds is given by the function h=-16t^2 +44t+5. How long does it take the ball to reach its maximum height? What is the balls maximum height?

Answers

9514 1404 393

Answer:

1.375 seconds35.25 feet

Step-by-step explanation:

A quadratic function y=ax^2 +bx +c is symmetric about the vertical line x=-b/(2a). That is the x-coordinate of the vertex (maximum or minimum).

Here, we have ...

  h = -16t^2 +44t +5

  t = -44/(2(-16)) = 11/8 = 1.375

It takes 1.375 seconds for the ball to reach its maximum height.

The height at that time is ...

  h = (-16(11/8) +44)(11/8) +5 = (-22 +44)(11/8) +5 = 121/4 +5 = 141/4 = 35.25

The maximum height is 35.25 feet.

Marilyn and Frank each save $25 per month. Their savings are $3x and $2x respectively. What amount will be the sum of their savings 5 months from now?

Answers

Answer:yutu

gdffg

Step-by-step explanation:

uytyuytuyuyu dfgdgdg

Answer: the answer is b on the forum

Step-by-step explanation:

what is seven squared as an exponetial expression

Answers

Answer:

7^2

Step-by-step explanation:

Use the substitution method to solve the system of equations.choose the correct ordered pair. x+2y=12 -x=-y-6

Answers

Answer:

Point Form: 8,2

Equation Form: x = 8, y = 2

Step-by-step explanation:

solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

(8,2)

Step-by-step explanation:

what is the value of x​

Answers

Answer:

x=11

Step-by-step explanation:

6x + 1 + 7x = 144

13x + 1 = 144

13x = 143

x = 11

I will give Brainliest or a Cookie, your choice

Answers

Answer: x= 10??
I hope this is correct
And I want the brainliest

f – 5.2 1.6

answer pls

Answers

Answer: what u mean

Step-by-step explanation:

Answer:

huh what do you mean picture?

It is dinos birthday today. She is 9 years older than tyger. Altogether, their ages add up to 23 years. How old is dino?

Answers

Answer:

7

Step-by-step explanation:

Tyger = x

Dinos = x + 9

Total = 23

x + x+9 = 23

2x + 9 = 23

2x = 23 - 9

2x = 14

x = 14/2 = 7

I hope im right!!

Which equation represents a slope of 4 and (5,-2)?

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

Answers

Answer:

Step-by-step explanation:

the formula is named the point slope formula for a reason.   and  you have show both of them in the question , the slope and the point are given

y - y1 = m(x-x1)

so for your answer

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

y+2 = 4(x-5)    is the right answer

What is the measure of an angle that is the supplement of angle C?

Answers

Answer:

15

Step-by-step explanation:

Answer:

the measure of an angle that is the supplement of angle C=180-165=15

write 16 + 32 = as a product of two factors using GCF and the distributive property

Answers

Answer:

16 (1+2)

Step-by-step explanation:

factors of 16: 1,2,4,8,16

factors of 32: 1,2,4,8,16,32

16 x 1 = 16

16 x 2 = 32

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