Express the function.
f(x) = 2x² - 4x - 13
in the form f(x) = a(x + h)² + k​

Answers

Answer 1

Answer:

2(x-1)^2-15

Step-by-step explanation:

2x^2-4x=2(x-1)^2-2

insert that in:

f(x)=2(x-1)^2-2-13=2(x-1)^2-15

a=2,h=-1,k=-15


Related Questions

an
A group of volunteers is delivering holiday gifts to elderly people in nursing homes. Two of
the homes receiving deliveries are 9 miles apart. How far apart are the two nursing homes on
a map with a scale of 1 inch = 3 miles?
inches
el
00
Submit
HR
Sm
out

Answers

Answer:

The map would show them 3 inches apart

Step-by-step explanation:

The map has 3 miles displayed as 1 inch so we divide 1 by 3.

does -7/10 = -4/5? plz hurry

Answers

Answer:

False

Step-by-step explanation:

_7/10 does not equal -4/5

Answer: No.

Step-by-step explanation: The left side, -0.7 doesn't equal the right side, -0.8, so it is false.

To find equivalent fractions, multiply the the numerator and denominator by the same whole number.

[tex]-\frac{7}{10}\times\frac{2}{2} =-\frac{14}{20}[/tex]

[tex]-\frac{7}{10}\times\frac{3}{3} =-\frac{21}{30}[/tex]

[tex]-\frac{7}{10}\times\frac{4}{4} =-\frac{28}{40}[/tex]

And so on...

[tex]-\frac{4}{5}\times\frac{2}{2} =-\frac{8}{10}[/tex]

[tex]-\frac{4}{5}\times\frac{3}{3} =-\frac{12}{18}[/tex]

[tex]-\frac{4}{5}\times\frac{4}{4} =-\frac{16}{20}[/tex]

And so on...

If we keep doing this, they won't equal each other.

So no, they're not equivalent.

Problem to solve:
b) The Smith family has five members. They go to the beach for a day. Each member has a small towel and a
beach towel. How many towels did they bring to the beach?

Answers

Answer:

25 towels hahha

Step-by-step explanation:

Which of the following is NOT a linear function?

y=x

y=5

y=-3x-5

y=x^2+6

Answers

Y=x^2 +6 . This would be graphed as a parabola. So it would curve down before changing direction and going back in the opposite direction. So it’s not linear function (a straight lined function)

what is the slope of this line? I'm not sure if I'm doing it right. But I did it like this:
change in y/change in x
-4-4/-4-1
-8/-5
should i simplify it? or keep it a fraction?

Answers

Looks like the rise(y) is 2.5 and the run(x) is 1.5. ur going from neagitive to poitive or viseversa so 2.5/1.5. usally use two points on the line. i used (-1.5,0) and (0,2.5) to get 2.5/1.5

Hi can someone tell me what this is in y=mx+b please?​

Answers

Answer: y= 5x +7

Slope is rise over run. From the two given points we rise 10 and run 2 which is 10/2 or 5.

7 is how high/low we are when we are at x=0

Answer:

Hi!

y= 5x+7

The five is the slope and i counted from the point on the y axis until the next point on the line. Which is 10/2. simplified that is 5/1 or just 5.

The seven in where the line intercepts the y axis.

Hope this helps! Have a good day and don't forget to be tiger fierce!! :)

What is categorical data

Answers

Answer:

Categorical variables represent types of data which may be divided into groups. It can not measure.

Step-by-step explanation:

What is the GCF of the terms of the polynomial −12y^4 + 8y^3 – 4y^2?

Answers

Answer:

the GCF of the terms of the polynomial −12y^4 + 8y^3 – 4y^2 is:

4 y^2

A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

The . correct answer will be C

Step-by-step explanation:

Which equation matches the hanger?
y = 6.3
3y = 6.3
y/3 = 6.3
y + 3 = 6.3

Answers

3y = 6.3 is the answer

Answer:

B 3y=6.3

Step-by-step explanation:

On the hangers left side there are 3 Y's so we would put that together as 3y

On the hangers right side there is a rectangle with a whole of 6.3

The 3y would equal with the 6.3

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.

Answers

Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.

Help me with this!!!

Answers

Answer:

Yes

Step-by-step explanation:

You can use the perpendicular bisector theorem, because the bisecting line is intersecting at a right angle, which means it is actually perpendicular. Along with IJ and IH being congruent (equal)

On two separate occasions, Mr. Johnson needed some electrical work done on his house. He called an electrician from Electrical Outlet in town. The electrician worked 2.5 hours and charged $180 for the first visit. The second time he worked 4 hours and charged $243. Let be the number of hours the electrician works in a single visit, and let be the total amount, in dollars, that the electrician charged for the visit. A. Create the equation that relates the total cost to the time worked. [4 pts] Note: This will be a linear relationship, so start by finding the slope of the line based on the given information. Express the final equation in = + form.

Answers

Answer:

y = 42x + 75

Step-by-step explanation:

Using the equation of a line in the form

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁) = m where m is the slope of the line

Let x be the number of hours the electrician works in a single visit, and let y be the total amount, in dollars, that the electrician charged for the visit.

Since the electrician worked 2.5 hours and charged $180 for the first visit. The second time he worked 4 hours and charged $243. where x₁ = 2.5 hours, y₁ = $ 180, x₂ = 4 hours and y₂ = $ 243

We find the slope of the line, m

m = (243 - 180)/(4 - 2.5) = (243 - 180)/(4 - 2.5) = 63/1.5 = 42

Since m = (y - y₁)/(x - x₁) ,

42 = (y - 180)/(x - 2.5)

cross-multiplying, we have

42(x - 2.5) = (y - 180)

expanding the bracket, we have

42x - 105 = y - 180

adding 180 to both sides, we have

42x - 105 + 180 = y - 180 + 180

42x + 75 = y

y = 42x + 75

The linear equation that relates the total cost to the time worked is:

[tex]y = 42x + 75[/tex]

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, the function has two points: (2.5, 180) and (4, 243).

The slope is given by change in y divided by change in x, hence:

[tex]m = \frac{243 - 180}{4 - 2.5} = 42[/tex]

Then:

[tex]y = 42x + b[/tex]

Considering point (2.5, 180), we have that when x = 2.5, y = 180, which is used to find b.

[tex]y = 42x + b[/tex]

[tex]180 = 42(2.5) + b[/tex]

[tex]b = 75[/tex]

Hence, the function is:

[tex]y = 42x + 75[/tex]

More can be learned about linear equations at https://brainly.com/question/24808124

another question of the homework

Answers

Answer:

Jessica's trains travels at a faster speed

Step-by-step explanation:

From the question,

Using the graph,

The total distance distance traveled by Khalid after 2 hours is

d = 280 mi.

S = d/t....................... Equation 1

Where S = Khalid's speed, d = Khalid's distance, t = time.

S = 280/2

S = 140 mph.

From the euqation,

The total distance traveled by Jessica after 2 hours is

y = 150×2

y = 300 mi.

Also Using

S' = d'/t

Where S' = Jessica's speed, d' = Jessica's distance

S' = 300/2

S' = 150 mph.

From the above, Jessica's trains travels at a faster speed

If a simple machine requires an effort of 20 newtons to lift a load of 100 newtons, its
mechanical advantage is:
a. 5
b. 5N
c. 5MA​

Answers

Answer:

A. 5

Step-by-step explanation:

A. 5
Hope this helps!

I WILL MARK YOU BRAINLIEST JUST PLZ HURRY What is the rule to find the value of the missing term in the sequence in the table at the right? justify your answer

Answers

Answer:

(x-1)x4+1

each value is increasing by exactly 4 for each step shown, starting with 1.

so, 2 becomes

(2-1)= 1

1x4= 4

4+1=5

A farmer sows 100 seeds of a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the crop when it has matured. He decides to take a simple random sample of the crop. Which of the following correctly labels the population?

00–99
01–99
0–99
1–100

Answers

Answer:

00–99

Step-by-step explanation:

I got it Correct

The correct label for the population would be: 1-100 as per the given scenario.

What is population?

In statistics, a population refers to the entire group of individuals, objects, or measurements that the researcher is interested in studying.

In this scenario, the population refers to the entire group of items or people that the farmer is interested in studying.

In this case, the population is the total number of ears of corn produced by all 100 seeds sown by the farmer.

As a result, the population's correct label would be: 1-100. Because the farmer is interested in the yield of all 100 seeds, the population includes all possible outcomes of the experiment, ranging from one to one hundred ears of corn.

Option A, B, and C do not include all possible outcomes, whereas option D includes the number 0, which is not an option in this scenario.

Thus, the answer is 1-100.

For more details regarding population, visit:

https://brainly.com/question/27991860

#SPJ7

b) John returns from holiday with these notes.
Note
Number
of notes
The exchange rate is £1 = $1.29.
$50
5
Work out how much he will get in total
when he changes these notes.
$20
2
$10
7
$5
3
14)
Sub Answer
acer

Answers

Answer:

£290.70

Step-by-step explanation:

Number of notes of $50 = 5

Total value = 50 × 5 = $250

Number of notes of $20 = 2

Total value = 20 × 2 = $40

Number of notes of $10 = 7

Total value = 10 × 7 = $70

Number of notes of $5 = 3

Total value = 5 × 3 = $15

Total value of all notes with John = 250 + 40 + 70 + 15

                                                        = $375

Since, $1.29 = £1

Therefore, $1 = £[tex]\frac{1}{1.29}[/tex]

Therefore, $375 = £ [tex]\frac{375}{1.29}[/tex]

                           = £290.70  

1. Are two congruent figures similar? Explain.​

Answers

Answer:

Yes

Step-by-step explanation:

Congruence means two objects (whether two dimensional or three dimensional) are identical in size and shape. Everything about them -- their angles, lengths of sides, overall dimensions -- are identical. Similar means being the same shape. Two congruent figures must be the same shape, so they are similar.

Hope that helps!

-Sabrina

Please find x! Thank you, only if you know!

Answers

Answer:

[tex]\boxed {\boxed {\sf x \approx 23.49 \ cm }}[/tex]

Step-by-step explanation:

This is a right triangle (the small square in the corner signifies a 90 degree angle), so Pythagorean Theorem can be used.

[tex]a^{2} + b^{2} =c^{2}[/tex]

where a and b are the legs of the triangle and c is the hypotenuse. In this triangle, 17 and x are the legs because they form the right angle. 29 in the hypotenuse because it is opposite the right angle.

[tex]a= 17 \\b=x \\c= 29[/tex]

[tex]17^{2} + x^{2} =29^{2}[/tex]

Solve the exponents.

17²=17*17=28929²= 29*29=841

[tex]289+x^{2} =841[/tex]

289 is being added to x and the inverse is subtraction. Subtract 289 from both sides to isolate the variable.

[tex]289-289+ x^{2} =841-289\\x^{2} =552[/tex]

x is being squared and the inverse is a square root. Take the square root of both sides of the equation.

[tex]\sqrt {x^{2} }=\sqrt {552}[/tex]

[tex]x=23.4946802489[/tex]

Let's round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 9.

[tex]x \approx 23.49[/tex]

x is approximately 23.49 centimeters.

this is due tonight pls

Answers

Answer:

I think it's A.3

Step-by-step explanation:

if you didvide the 7.8 by 2.6 then you will get 3, therfore you will have to multiply the original (2.6) times 3 in order to get the scaled image (7.8).

I think 2.8

Step-by-step explanation:

thats what i have today

what is the Variable in
3x + 7

Answers

the variable is x, that's all

Answer:

x is the variable

3 is the coefficient, 7 is the constant, and + is the operator.

Here's how to identify other terms:

3. Solve for the side length of BA and AC. * (image attached)
1 point
Captionless Image
BA = 8, BA = 30
BA = 8, AC = 16
BA = 8, AC = 8√2
BA = 8, AC = 8√3

Answers

Ba = 8,ac = 16 is the correct one

Answer:

D. BA = 8, AC = 8√3

Step-by-step explanation:

First, because this is a right triangle, refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

BA is the opposite side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use sine:

sine = opposite side/hypotenuse

sin(30) = BA/16

sin(30) / 1 = BA / 16

Cross multiply:

BA = sin(30) (16)

BA = 8

AC is the adjacent side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use cosine:

cosine = adjacent side/hypotenuse

cos(30) = AC/16

cos(30) / 1 = AC / 16

Cross multiply:

AC = cos(30) (16)

AC = 8√3

You can check by using the Pythagorean Theorem:

a² + b² = c²

8² + (8√3)² = 16²

64 + 192 = 256

256 = 256

x+1/3=5




help plzzzzzzz

Answers

Answer:

x = 4 2/3

Step-by-step explanation:

x = 5 - 1/3

x = 4 2/3

Answer:

x = [tex]\frac{14}{3}[/tex]

Step-by-step explanation:

Subtract [tex]\frac{1}{3}[/tex] from both sides

x + [tex]\frac{1}{3}[/tex] - [tex]\frac{1}{3}[/tex] = 5 - [tex]\frac{1}{3}[/tex]

x = [tex]\frac{14}{3}[/tex] or 4 [tex]\frac{2}{3}[/tex]

PLEASE I NEED HELP WITH THIS ASAP..

Answers

Answer:

first question is:10.5    and question 2 is:20

Step-by-step explanation:

Hope this helps!

The answer for the first one is 10.5 cm, The answer for the second is Area of 19.63 (1/2*radius)

Out of the 232 media executives, 6 of them control 90% of all media outlets. If there are a total of 400 major
media outlets, how many are controlled by those 6 executives.

Answers

Answer:

360

Step-by-step explanation:

6 executives control 90% of the 400 major media outlets

so we need to find 90% of 400

first, convert 90% to a decimal and multiply

0.9•400 gives us 360

so 360 media outlets are controlled by those 6 executives

hope this helps babe <3

Can someone plz help me plz I beg u the answer choices are at the bottom just pls

Answers

Answer:

Step-by-step explanation:

In a bag of marbles, 12% were red, 14% were blue, and the rest were
white. If the bag has 250 marbles, how many were red or blue?

Answers

Answer:

30 marbles were red

35 marbles were blue

Step-by-step explanation:

turn the percentages into decimals and multiply by total value

0.12•250= 30 red marbles

0.14•250= 35 blue marbles

hope this helps <3

OKAY PLEASE HELP :C I GOTTA WAKE UP EARLY TOMMOROW

Answers

Answer:

C = 37d

Step-by-step explanation:

$37 dollars each day, the amount of days is unknown, so it needs a variable.

Answer:

C is $37 dollars

Step-by-step explanation:

Do I have to explain :^

Which expression is equivalent to if no denominator equals zero

Answers

Answer:

B (1/x^2 - 4x + 3)

Step-by-step explanation:

You can first write the second equation as multiplication by multiplying by the reciprocal and then expand.

The result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]

Given the expression;

[tex]\frac{x+3}{x^2-2x-3} + \frac{x^2+2x-3}{x+1}[/tex]

Factorize the quadratic function in the expression to have:

[tex]=\frac{x+3}{x^2-3x+x-3} \div \frac{x^2+3x-x-3}{x+1} \\=\frac{x+3}{x(x-3)+1(x-3)} \div \frac{x(x+3)-1(x+3)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \div \frac{(x+3)(x-1)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \times \frac{x+1}{(x+3)(x-1)} \\=\frac{1}{(x-3)(x-1)}[/tex]

Hence the result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]

Learn more on function here:

https://brainly.com/question/22340031

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