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What is the vertex of f(x) = 5x^2 + 20x – 16?

Answers

Answer 1
Vertex is found by -b/2a. A is 5. B is 20. C is -16.
Take -20/(2 times 5)
Which is -20/10
That is -2
-2 is the answer for x coordinate.
Plug -2 into function to get 20+(-40)+(-16)
Which is -36.
So we get (-2, -36)
Mark as the best!
Answer 2

Answer:

(-2, -36)

Step-by-step explanation:

This is written in Standard Form

[tex]f(x)=5x^{2} +20x-16[/tex]

[tex]ax^{2} +bx+c[/tex]

Convert to vertex form.

[tex]f(x)=a(x-h)^{2}+k[/tex]

[tex]f(x)=5(x+2)^{2}-36[/tex]


Related Questions

Which of the following best describes the expression 9(x + 7)? (5 points)

a
The sum of 9 plus some number plus 7

b
The product of 9 plus some number plus 7

c
The product of 9 and some number plus 7

d
The sum of 9 multiplied by some number plus 7

plsss help asap

Answers

Answer:

I guess D. the sum of 9 multiplied by some number plus 7

3 pounds to 18 ounces

Answers

Answer:

divide the pounds to get 18 ounces

Step-by-step explanation:

i think?

Pls help! This is my question..

A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?

Answers

First mass/volume is density
So,
1000/48

What do we know:

the dimensions ⇒ can help us find the volume, area, surface areamass

What do we want to find ⇒ Density

To solve that,

  ⇒ must find the relationship between density, mass, and volume

Definition of density: mass per unit volume

         ⇒ Density = mass / volume

Now let's convert some units to make it into a standard answer:

mass = 100g   ⇒ 0.1 kg      (1000g = 1kg)volume = 2 * 4 * 6 = 48 cubic centimeters = 0.000048 cubic meter

               (1 cubic meter = 1000000 cubic centimeter)

               

   ⇒ Density = 0.1 / 0.000048 = 2,083.33 kilograms per cubic meter

Hope that helps!

 

     

Find the volume of the cone.

Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Volume of cone :

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \pi{r}^{2} h[/tex]

Now, let's plug in the values as per the diagram ~

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \times 3.14 \times {(18)}^{2} \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \times 31.4 \times 324[/tex]

[tex]\qquad \sf  \dashrightarrow \: 31.4 \times108[/tex]

[tex]\qquad \sf  \dashrightarrow \:3391.2 \: \: ft {}^{3} [/tex]

y=-1/4x+3

Convert to standard form

I need help understanding how to do this...

Answers

Answer:

y=y

Step-by-step explanation:

y=y because y has the same value as y

How long to have 1 bitcoin when you put in 1 a day with a growing rate of 3.3% per 3 months. Current price of bitcoin 39,110. Each mont is 30 days.

Answers

Answer:

5 years

Step-by-step explanation:

Jack had m math problems to complete during his vacation. He solved the same
number of problems every day and finished them all in 5 days.
Suppose Jack was solving 15 problems per day. Use this information and the answer
to part (a) to build an equation.

Answers

Answer:

M/5 =15

Step-by-step explanation:

The answer to part a was m/5. m/5 is the amount of questions Jack does per day. If 15 is supposedly the number of question he does per day, then m/5 and 15 are equal. Making m/5=15. Good luck fellow RSM student.

2 Demi teaches drum classes. The equation B = 50t gives the dollar amount she earns as a function of the time in hours she teaches. Demi also takes spin classes. The graph shows how much she has left on a gift card as a function of the time in hours Demi is in class. Does Demi earn more teaching 1 hour of drum class or spend more taking 1 hour of spin class? Show your work.​

Answers

Using the slope intercept form (y = mx + b) to find the function of the graph, results in
B = -100/5t + 500 or B = -20t + 500.
After 1 hr or t = 1 Demi earns B = 50(1) or $50 teaching
After 1 hr or t = 1 Demi spends B = -20(1)
-$20 on spin class (and her gift card amount would equal $480, although I think the GC amount is irrelevant to the question of earn more or spend more).
If it’s asking just the rate of increase or decrease the slope of 50t is greater than the slope of -20t.
The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

What is the Slope intercept form?

The equation of a straight line whose slope and y-intercept are given. Suppose a non-vertical line has a gradient or slope of m and y-intercept equal to c. Let (x, y) be any point on the line and a line intersect the y-axis at the point (0, c).

 y = mx + c

Using the slope-intercept form (y = mx + b) to find the function of the graph,

B = -100/5t + 500

Or  B = -20t + 500.

After 1 hr or t = 1 Demi earns B = 50(1) or $50 teaching

After 1 hr or t = 1 Demi spends B = -20(1)

-$20 on spin class.

If it’s asking just the rate of increase or decrease, the slope of 50t is greater than the slope of -20t.

Thus, The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

Learn more about slope;

https://brainly.com/question/3605446

story with these 5 letters comprehend, collect, compare, community, college asap

Answers

In the word document :)

If the average rate of travel is 100 miles per day, about how long would it take to
travel down each river in days?

Answers

Answer:

Distance, rate and time problems are a standard application of linear equations. When solving these problems, use the relationship rate (speed or velocity) times time equals distance.

  

Explanation:

For example, suppose a person were to travel 30 km/h for 4 h. To find the total distance, multiply rate times time or (30km/h)(4h) = 120 km.

The problems to be solved here will have a few more steps than described above. So to keep the information in the problem organized,  use a table. An example of the basic structure of the table is below:

Claire invests £200,000 in a savings account for 4 years. The account pays compound interest rate at 1.6% per annum. Calculate the total amount of interest Claire will get at the end of 4 years

Answers

Answer:

£13,110.49

Step-by-step explanation:

solution:

(A) = P( 1 + r/n) ^nt

P(Principal) = £200 000

r(interest rate) = 1.6% = 0.016

The total amount been saved after 4 years is calculated as:

A = P( 1 + r/n) ^ nt

A = £200,000( 1 + 0.016/1)¹× ⁴

A =  £200,000(1.016)⁴

A =  £213,110.48991

A = £ 213,110.49

Claire will get approximately £ 213,110.49 within 4 years.

pls help and do quick!

find x

Answers

Answer:

x = 90

Step-by-step explanation:

If the line is straight.

Angles on a straight line add up to 180

2x = 180

x = 90

A small bottle of shampoo can hold 35 milliliters of shampoo, whereas a large bottle can hold 500 milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy

Answers

Answer:

15

Step-by-step explanation:

500/35 approx 14.28

Always round up otherwise there won’t be enough

14.28 rounded up = 15

The movie started at 7:35 PM and lasted 1 hour and 40 minutes. What time did
the movie end?

Answers

Answer:

9:15 PM

Step-by-step explanation:

1 hour and 40 minutes after 7:35 is 9:15

It ended 9:15 pm
Explanation: from 7:35 1+40 = 09:15 pm

You send an email with a file size of 4 kilobytes. one kilobyte is 2-0 bytes. what is the file size of your email in bytes? write your answer as a power.

Answers

The file size sent in kilobytes was converted to bytes, the 4 kilobytes is equivalent to 80 bytes

Unit Conversion

Given Data

File Size = 4 kilobytes

We are told that 1 kilobytes = is equivalent to 20 bytes

hence 4 kilobytes will be equivalent to x bytes

cross multiplying we have

4*20 = x

x = 80 bytes

Therefore, the file size is 80 bytes

Learn more about unit conversion here:

https://brainly.com/question/13016491


Kareem rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 91 cents for each mile driven. Kareem had to pay
$206.36 when he returned the truck. For how many miles did he drive the truck?

Answers

The answer is d I did it in edinuity and got it right

what geometric figure have 5-12 sides

Answers

A dodecagon is a twelve-sided polygon that's equally spaced around a circle and with all sides, the same length.

Help please + I need explanation

Answers

Answer:

61 degrees

Step-by-step explanation:

The THREE angles in the diagram sum to 180 degrees ( straight line = flat wall)

3x+1     +   58   +   4x-19     = 180

solve for x = 20     then A = 3x+1 = 61 degrees

Students voted to have a guinea pig or a hamster qs a class pet. Of thise students, 18 voted to have a guinea pig. This number represents 72% of the students who voted. What is the toatal number of students who voted

Answers

Answer:

The total number of students that voted is 25.

Step-by-step explanation:

18 students = 72% of the students who voted

Divide the percentage of students by 100.

72% ÷ 100 = 0.72%

Then, divide 18 by 0.72%.

18 ÷ 0.72% = 25

So, the total number of students that voted is 25 students.

Hope this helped !

Find the inverse of the function
f (x) = -8x + 9

Answers

Answer:

[tex]y=\frac{x-9}{-8}[/tex]

Step-by-step explanation:

1. change f(x) to y

2. switch x and y

[tex]x= -8y+9[/tex]

3. solve for y

[tex]x-9=-8y[/tex]

[tex]y= \frac{x-9}{-8}[/tex]

Answer: y = (9-x) / 8

Step-by-step explanation:

set f(x) = y

y = -8x + 9

to find inverse repalce all y values with x and x values with y then solve for y again

x = -8y + 9

x - 9 = -8y

y = (x-9) / -8

distribute -1 through the numerator and make 8 positive

y = -x+9/8

y = (9-x)/8

help please thankkkkk youuuuuuuu :))))))))))​

Answers

Answer:

426

Step-by-step explanation:

To determine how to round up or down, we look at the place after the one we want to round to. In this case, we look at the tenths place.

If the tenths place is [tex]\geq 5[/tex] then you round up, and if it is [tex]\leq 4[/tex] you round down.

We see that the number is five and we round up to 426

pls help me dont bot me

Answers

Answer:

c

Step-by-step explanation:

please help its easy

Answers

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex] \frac{12 - 3}{12} [/tex]

[tex] \frac{9}{3} [/tex]

cross out the common factor.

[tex] \frac{3}{4} [/tex]

Answer:

9/12 (or 3/4)

Step-by-step explanation:

If you subtract the number of brownies that Brittany's brother will eat, you will have 9 remaining brownies. So, that means 9 out of the original 12 brownies will be left, or 9/12. Also, you can simplify the fraction. Both 9 and 12 can be divided by 3.

9/12 divided by 3/3 equals 3/4. 3/4 is the fraction in it's simplest form.

So, 9/12 (or 3/4) of the brownies are left.

I hope this helps! Have a lovely day!! :)

Find the value of X
Find the measures of the following angles

Answers

Answer:

angle X = 80; angle Y = 100; angle W = 100; x = 10

Step-by-step explanation:

opposite angles are always equal, which means that angle Z and angle X are equal.

angle X = 80º

now, angle Z plus angle Y makes a straight line, which means 180º (if you put the two angles next to each other)

that means 80 + (11x - 10) = 180

11x = 110

x= 10

by using this, we can find angles Y and W since opposites are equal

11x - 10 would be 100 and angles Y and W would be 100

The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges $2 for the first time they service your lawn, and the price will multiply by a factor of 0. 85 every week thereafter. Green Thumbs charges $350 for the first time they service your lawn, and then charges an additional $30 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?

Answers

The cost-savings if the Yert Family chooses the cheaper company is: $450.50

How do you determine the cheaper company?

First, we determine the cost of the service of each company. Comparing that will give us an idea of the company whose service is cheaper.

Second, we subtract the lower sum from the higher. This gives us the cost savings by the Yert Family.

Step 1

Expressing the payment plan for Green Lawns, we have:

First week= $2
Second week = (2 + (2*0.85) )  = 3.7

Third week= (3.7 + (2*0.85) ) = 5.4

Using the above cumulative method, we arrive at the series of payments due per week

The series of payment are given as follows:
2 + 3.7 + 5.4+7.1+8.8+10.5+12.2+13.9+15.6+17.3+19+20.7+22.4+24.1+25.8+27.5+29.2+30.9+32.6+34.3+36.0+37.7+39.4+41.1+42.8+44.5+46.2+47.9+49.6

= $799.50

Step 2

Expressing the payment plan for Green Thumbs, we have:

350 + (30*30) = $1,250



Step 3

Hence (assuming they go for Green Lawns) the cost savings will be:

$1,250.00 - $799.50 = $450.50

Learn more about Cost-Saving exercises at:
https://brainly.com/question/910760

(18 POINTS) PLEASE ANSWER CORRECTLY :)

Write SSS, SAS, ASA, and AAS Congruence if they are congruent.​

Answers

Step-by-step explanation:

16

SSS

17

SAS

18

SSS

19

AAS

20

ASA

I’m terrible at math

Answers

Answer:

lol same but that's okay we can all for sure get better at it :)

Step-by-step explanation:

 Find the length of the third side. If necessary, write in simplest radical form.

IMAGE DOWN BELOW!

SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

7

Step-by-step explanation:

As it is a RIGHT triangle, the formula is a^2+b^2=c^2.

We are given one leg and the hypotenuse. That means 4^2x2+b^2=81.

To find 4 root 2 square, you square them individually then multiply.

4^2=16 times 2 (root 2 squared is 2).

Simplified, that gives 16x2=32,

81-32=49.

The last leg is seven.

triangle ABC has vertices as points (-1,6), (-3,2), and (-9,5). what shape does this create

a) equilateral triangle
b) right triangle
c) isosceles triangle

Answers

Answer: b

Step-by-step explanation:

Graphing the triangle, we can see that it will be right.

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Answers

Answer:

A.

Mean-103.0625

Median- 8, 9

Mode- 8, 1

B.

They should use the shoe size 6, because it has the most women waering it.

Your Welcome!

Step-by-step explanation:

Mean:-

5+5.5+6+6.5+7+7.5+8+8.5/854/86.9

Median:-

Total terms 8

Median =n/2th term +(n/2+1)th term

Median=6.5 and 7

Mode:-

No modes

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