Determine the vertex of the function f(x)=2(x+1)(x+7). You must show all algebraic steps for full marks

Answers

Answer 1

Answer:

vertex (-4,-18)

Step-by-step explanation:

f(x)=2(x+1)(x+7)

f(x)=2(x^2+8x+7)

f(x)=2x^2+16x+14

f(x)=2(x^2+8x)+14

f(x)=2(x^2+8x+4^2-4^2)+14

f(x)=2(x^2+8x+4^2)+2(-4^2)+14

f(x)=2(x^2+8x+4^2)+2(-4^2)+14

f(x)=2(x^2+8x+4^2)-18

f(x)=2(x+4)^2-18

vertex form:

f(x)=a(x-h)^2+k

h=-4

k=-18

vertex (-4,-18)


Related Questions

Which is better buy: 4 for $2.00 or 6 for $2.50

Answers

Answer:

6 for 2.50

Step-by-step explanation:

find the price of one for both
$2.00 divide by 4 is $0.5
$2.50 divide by 6 is $0.42

so 6 for $2.50 is a better buy

Is 10 the solution of the equation 4x - 8 = 31?

Answers

4x-8 = 31

4x = 31 + 8

4x = 39

x = 9.75
4x - 8 = 31
4x = 39
x = 9.75

what is it please?*mmm,mmjjjjjjn​

Answers

Answer:

y=-4x

Step-by-step explanation:.

HELP!!!!! What is the length plz help me besties

Answers

Answer: 30 inches

Step-by-step explanation:

20/8 = x/12

20(12) = 8x

240 = 8x = 30

Here's a graph of a linear function. Write the equation that describes that function. 8 Express it in slope intercept form. Enter the correct answer. ​

Answers

Answer:

f(x) = [tex]\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Let the equation of the function is,

f(x) = mx + b

Here, m = slope of the line

b = y-intercept

From the graph attached,

y-intercept 'b' = 4

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

          = [tex]\frac{4}{8}[/tex]

          = [tex]\frac{1}{2}[/tex]

Therefore, equation of the function representing the graph will be,

f(x) = [tex]\frac{1}{2}x+4[/tex]

A salesman earns 3% commission for everything he sells. Yesterday, he sold a large screen television for $2,400 and a video game system for $500. How much money did the salesperson make on commission?

Answers

2400 x 0.03 = $72
500 x 0.03 = $15

Total commission = $87


Which word phrase represents the following
expression: 5. 3?

Answers

Answer:

Step-by-step explanation:

5.3 in words is "five point three," meaning 5 3/10 ("five and three tenths."

Answer:

five dot three which means 5.3 is five dot three

Compute and simplify the following: (a+b+c)^3

Answers

Answer:

a^3+3a^2b+3a^2c+3ab^2+3ac^2+6abc+b^3+c^3+3bc^2+3b^2c if you want it expand

(a+b+c)(a+b+c)(a+b+c) is equal to (a+b+c)^3

WILL GIVE BRAINLEST !
hAVE A GOOD DAy :)!

Answers

Answer:

1, 2 * 3^3 * 17

2, 8

Step-by-step explanation:

64 is perfect sqr root 8*8 = 64

The graph of a twice differential function is shown at right. Which of the following is true?

Answers

Answer:

(C)

Step-by-step explanation:

looking from the slope: f'(2) is negative

f(2)=0

the curve concave upward: f''(2) is positive

f'(2)<0

f(2)=0

0<f''(2)

f'(2)<0<f''(2)

The expression which is true n the graph of a twice differential function is f' (2) < 0 < f'' (2) so, option C is correct.

What is a differential function?

A function that has a derivative at each point in its domain is referred to as a differentiable function of one real variable in mathematics. In other words, each interior point in the domain of a differentiable function's graph has a non-vertical tangent line.

Given:

The coordinate of the graph is shown in figure  (2, 0),

As we can see from the graph, the slope: f' (2) is negative (Downwards)

Again, from the graph

f(2) = 0

Thus, the curve concave upward: f'' (2) is positive (upward)

f' (2)<0

f (2)=0

0 < f'' (2)

f' (2) < 0 < f'' (2)

Therefore, f' (2) < 0 < f'' (2) is true in the given graph.

To know more about differential functions:

https://brainly.com/question/2506901

#SPJ12

The chords intersect at point U.

A circle is shown. Chords R T and Q S intersect at point U. The length of R U is 12 centimeters, the length of U T is 4 centimeters, the length of U S is y centimeters, and the length of Q U is 8 centimeters.

What is the value of y?

2
4
6
8

Answers

Answer:

Its b)6

Step-by-step explanation:

I just did it on edge and got it correct

The value of y is 6 centimeters.

Given that,

The length of RU = 12 centimeters

The length of UT = 4 centimeters

The length of QU = 8 centimeters.

The length of US = y centimeters

What is the intersecting chords theorem?

The intersecting chords theorem states that, the product of one whole chords segment and its external segment is equal to the product of the other whole chords segment and its external segment when two chords cross at an exterior point.

According to the intersecting chords theorem,

US x QU = RU x UT

Substitute the values in above formula,

y x 8 = 12 x 4

y = 48/8

y = 6 centimeters,

Hence, the value of y is 6 centimeters.

Learn more about intersecting chords theorem here:

https://brainly.com/question/15298662

#SPJ5

Find the value of x and y in the diagram below.
30°
A. x=9f2, y=9
B. * = 18, y = 9-3
C. *= 9/3, y = 4.5
D. *- 01/3, y = 313
Please select the best answer from the choices provided

Answers

Answer:

C. *=9/3,y=4.5 HOPE IT WILL HELP YOU

Answer: D

Step-by-step explanation: right on edge

Relation between an event and a second event, where the second event is understood as a consequence of the first. which one
Group of answer choices

Exponential Growth

Rate of Change

Causation

Correlation

2. The value the item has changed to. Also known as the finished value (after).
Group of answer choices

Rate of Change

New Value

Skewed Distributions

Original Value

Answers

Answer:new value

Step-by-step explanation:

In the diagram, the measure of angle 1 is 116°, the measure of angle 2 is (8x)°, and the measure of angle 6 is (x + 12)°

What is the measure of angle 8, to the nearest degree?

14°
20°
52°
64°

Answers

Answer:

b

Step-by-step explanation:

Answer:

20 or B

Step-by-step explanation:

Edge 2021


(Need help)
If there are 150 people born in the world every minute; how
many are born every Hour? Day? Year?

Answers

Step-by-step explanation:

150 x 60 = 9,000 every hour

9000 x 24 = 216,000 every day

216000x 365 = 78,840,000 every year

Answer:

Hour: 9,000 people

Day: 216,000 people

Year: 78,840,000 people

Step-by-step explanation:

In order to solve this, you need to identify how many minutes there are in an hour, a day, and a year:

Hour: 60 minutes

Day: 60 minutes × 24 hours = 1,440 minutes

Year: 60 minutes × 24 hours × 365 days = 525,600 minutes

Now, you need to multiply each of these numbers by 150 to find how many people are born every hour, day, and year:

Hour: 60 minutes × 150 people = 9,000 people

Day: 1,440 minutes × 150 people = 216,000 people

Year: 525,600 minutes × 150 people = 78,840,000 people

Express this as a difference: 7+3 PLEASE HELP

Answers

Answer:

Step-by-step explanation:

which of the following can be written as the sum of 2 prime numbers

a)11
b)15
c)17
d)23
e)29

Answers

Answer:

b)15

Step-by-step explanation:

13+2=15

Hope that helps

B would be the answer

What is the inverse equation for f(x)=x+6

Answers

Answer:

y^-1 = x - 6

Step-by-step explanation:

change f(x) to 'y'

switch 'x' and 'y'

solve for 'y'

Answer:

Step-by-step explanation:

y = x + 6

x = y + 6

y + 6 = x

y = x - 6

f^-1(x) = x - 6

I need help with these answers?

Answers

Q 7 = 6

Q 8= -x + 2

Q 9= 6m + 2

Q 13= 43f × 56

Q 15= 18x

Tyler is designing a banner that will welcome people to a festival. The design for the banner has an
area of 1.5 square feet. The actual banner will be a dilation of the design by a factor of 5. What will
the area of the actual banner be?

Answers

Answer:

7.5 sq ft

Step-by-step explanation:

1.5*5=7.5

The design is 1/5 of the actual size, so you just multiply by 5 to get the real size.

1
Line A passes through the point (-2,-8) and has a slope of 2.
Line B passes through the point (5,6) and has a slope of 2.

Answers

Answer:

y=2(5 or x) +6 should be it

Step-by-step explanation:

Pls how can I round the following figures to the nearest ten, hundred, thousand (1)46,586 (2)213,340 (3)391,565

Answers

Answer:

Step-by-step explanation:

Sample         Nearest 10        nearest hundred        nearest thousand

1                         46590                   46500                     47000

2                        213340                  213300                    213000  

3                        391560                  391600                    392000

The table above is actually the answers. The rule is this:

If you want to round to the nearest 10, go to the tens place.Observe the units placeIf the units place is 5 or more, round the 10s place up one.Show the units place as a zeroIf the units place is 4 or less, leave the 10s place alone. Make the units place 0. Rounding to the tens place always gives a 0 at the units place

If you want to round to the 100s place

Round the hundreds place using the five or more or 4 or less rule from the above rules.You should have 2 zeros at the end.

If you want to round to the 1000s place

Round the thousands place using the five or more or 4 or less rule from the above rules.You should have 3 zeros at the end.

Which of the following is equal to the expression listed below?

(18 × 24) - (18 × 9)

a.(24 - 18) × (18 - 9)
b.24 × (18 - 9)
c.18 × (24 - 9)
d.18 - (24 × 9)

Answers

Answer:

C

Step-by-step explanation:

good luck. hope this helps

Divide. Write your answer as a decimal.

0.459 divided by 0.17 =

Answers

Answer:

0.459 divided by 0.17 equals 2.7

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

0.459÷0.17=2.7

here is your answer!

i need help on this question for my math homework:))) please help!

Answers

Ummyrhrbs here Susie whack

y = 5 4x+6y= 62 Solve forx​

Answers

Answer:

x = 8

Step-by-step explanation:

4(8) + 6(5) = 62

32 + 30 = 62

62 = 62

Answer:

x = 8

Step-by-step explanation:

y = 5 and 4x + 6y = 62

4x + 30 = 62

Subtract 30 from each side:

4x + 30 - 30 = 62 - 30

4x = 32

Divide each side by 4:

4x ÷ 4 = 32 ÷ 4

x = 8

The angle are supplementary find the missing angle measure
I give you brainiest if you answer correct

Answers

1st angle is 50 degrees next one 41

Answer:

12. 50

13.41

Step-by-step explanation:

To find the supplement, subtract the number from 180. For instance for 13. Do 180-139 to find the supplement.

If a new sweater sells for $53 find the total cost if you are charged 5% sales tax. Round your answer to the nearest cent

Answers

Answer:

$55.65

Step-by-step explanation:

you would find 5% of 53 which is $2.65 and then add that to your original price so 53 + 2.65 = 55.65

If a=35, find the value of X.

Answers

Answer:

cCompute the value of x if angle a=35 ° angle b=45° angle c=50°. 2. See answers. Log in to add comment. Answer. 2.3/5. 2. 123jiya73. Helping ...

The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is ||32|| cm||^2||.
Find the dimensions of the rectangle.
(2 marks)
cm
~ Width =
cm
O Height =
Submit Answer
Skip for Now

a
1
in here to search​

Answers

Answer: length = 8cm

Width = 4cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x

Note that, Area of a rectangle = Length × Width

Therefore,

2x × x = 32

2x² = 32

Divide both side by 2

2x²/2 = 32/2

x² = 16

x = ✓16

x = 4

Therefore, width = 4cm

Since length = 2x

Length = 2 × 4cm = 8cm

Check: length × width = Area

8cm × 4cm = 32cm²

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