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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

Match each word to its definition

Answers

All i know is that 1 is the fourth option and 3 is the last option. I would assume 2 is the first option, 4 is the second option, 5 is the fifth option, and 6 is the third option, but be sure to check yourself. I hope this helps!

First drop down : 1. Cylinder 2.sphere
Second drop down: 1.divide by 2
2. Divide by 4
3.multiply by w2

Third drop down: 85
100
70

Answers

Answer:

Below.

Step-by-step explanation:

To find the volume of the silo find the volum of the hemisphere with radius of 15 feet and add the volume of the cylinder with a radius of 15 feet and a height of (100 - 15) = 85 feet.

The total volume = 1/2 * 4/3 π (15)^3  + π (15)^2 * 85

= 67151.5 ft^3.

Step-by-step explanation:

find the volume of a sphere with a radius of 15 ft and divide by 2 (because there is only half a sphere on top of the silo).

then add the volume of a cylinder with a radius of 15 ft and a height of 85 ft (because we need to deduct the radius of the sphere from the total height to get the height of the cylinder itself).

I need help with this question is six grade

Answers

Answer:

108

Step-by-step explanation:

I just divided! Hope this helps

Evaluate arithmetic series:-

Step-by-step answer, please!

Answers

Let's see

[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^{275}_{k=1}}}(-5k+12)[/tex]

[tex]\\ \rm\Rrightarrow (-5(1)+12)+(-5(2)+12)\dots (-5(275)+12)[/tex]

[tex]\\ \rm\Rrightarrow 7+5+3+2+1+\dots -1363[/tex]

So

a=7l=-1363n=275

Sum:-

[tex]\\ \rm\Rrightarrow S_n=\dfrac{n}{2}[a+l][/tex]

[tex]\\ \rm\Rrightarrow \dfrac{275}{2}(7-1363)[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{275}{2}(-1356)[/tex]

[tex]\\ \rm\Rrightarrow 275(-678)[/tex]

[tex]\\ \rm\Rrightarrow -186450[/tex]

Answer:

-186,450

Step-by-step explanation:

Sum of arithmetic series formula

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

where:

a is the first termd is the common difference between the termsn is the total number of terms in the sequence

[tex]\displaystyle \sum\limits_{k=1}^{275} (-5k+12)[/tex]

To find the first term, substitute [tex]k = 1[/tex] into [tex](-5k+12)[/tex]

[tex]a_1=-5(1)+12=7[/tex]

To find the common difference, find [tex]a_2[/tex] then subtract [tex]a_1[/tex] from [tex]a_2[/tex]:

[tex]a_2=-5(2)+12=2[/tex]

[tex]\begin{aligned}d & =a_2-a_1\\ & =2-7\\ & =-5\end{aligned}[/tex]

Given:

[tex]a=7[/tex][tex]d=-5[/tex][tex]n=275[/tex]

[tex]\begin{aligned}S_{275} & = \dfrac{275}{2}[2(7)+(275-1)(-5)]\\& = \dfrac{275}{2}[14-1370]\\& = \dfrac{275}{2}[-1356]\\& = -186450\end{aligned}[/tex]

Five years ago, Julie was 4 feet 7 inches tall. Her sister Carrie was 5 feet 1
tall. Since then, Carrie has grown 2 inches each year. Julie grew 13 inches
during the last 5 years. How much taller than Julie is Carrie now?

Answers

The differnce in the height of Carrie and Julie given their rate of growth is 3 inches.

What is the difference in height?

Carrie's height = 5 feet 1 inch + (2 x 5)

= 5 feet 1 inch + 10 inches

5 feet 11 inches

Julie's height = 4 feet 7 inches + 13 inches

4 feet 20 inches

Difference in height = 5 feet 11 inches - 4 feet 20 inches

I feet = 12 inches

71 inches - 68 inches

3 inches

To learn more about subtraction, please check: https://brainly.com/question/854115

sin^2(360°-x)+cosx.cos(360°-x)​

Answers

Answer:

1

Step-by-step explanation:

sin²(360⁰-x)+cosx.cos(360⁰-x)

sin²x+cosx.(cosx)

sin²x+cos²x

1

I hope it helped you

Round to the nearest tenth: 3.732
A. 3.7
B. 3.74
C. 3.73
D. 3.8

Pleasee i need these answers fast!!

Answers

Answer:

Rounded to the tenth: 3.7

Hope this helped!

Answer:

the answer is a

Step-by-step explanation:

3.7

Find the greatest number of children to whom 260 pens and 364 chocolates can be divided equally.

Answers

answer:

52

explanation:

52 is the highest shared factor of the two numbers.

52*5=260

52*7=364

--

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A bag with 12 marbles has 12 blue marbles. A marble is chosen from the bag at random. What is the probability that it is blue?
Write your answer as a fraction in simplest form.

Answers

Answer:

Well then it would be blue every single time since there are 12 marbles in the bag and 12 are blue.

Step-by-step explanation:

There is really no other way to explain it lol

Have a nice day!

A marble is chosen from the bag at random and the probability is 1.

What is the probability?

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

A bag with 12 marbles has 12 blue marbles.

A marble is chosen from the bag at random.

The probability,

= number of favorable outcomes / total number of outcomes.

= 12/12

= 1

Therefore, the probability is 1.

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PLEASE HELP
Which figure has only rotational symmetry?


D

C

A

B

Answers

Answer:

The answer is D

Step-by-step explanation:

I just did this

The figure which has rotational symmetry is figure A.

What is rotational symmetry?

It is the property of a shape that it looks same after some rotation by a partial turn.

How to identify shape?

In the figure given first shape has equal length of sides at each direction which means that if we rotates this figure then we will get same looking figure.

In the second figure when we rotates the figure vertically the it will look like a tower.

When we rotates the third figure they also look different.

In the graph figure are shown after some rotation.

Hence among all the figures given first figure has rotational symmetry.

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A line passes through the point (-8,5) and has a slope of -3/4 .

Write an equation in slope-intercept form for this line.

Answers

Answer:

Step-by-step explanation:

Formula

The basic formula is

y = mx + b

m = the slope

b = the y intercept

What you know so far

y = mx + b.

You know that the slope = -3/4

y = - 3/4 x  + b

y intercept

The point is used to find the y intercept.

x = - 8

y = 5

Subtitute these two values into the equation above.

5 = -3/4 * (-8) + b          Multiply the factors on the right

5 =  6 + b                      Subtract 6 from both sides

5 - 6 = b                       Combine

-1 = b

Answer: y = -(3/4) x - 1

Answer:

[tex]\Longrightarrow:\boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

Step-by-step explanation:

Use the slope-intercept form.

Slope-intercept form:

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

The m represents the slope.The b represents the y-intercept.

X= (-8)

Y= 5

[tex]\sf{5=-\dfrac{3}{4}*(-8)+b}[/tex]

5=6+b

Subtract the sign.

5-6=b

Solve.

Isolate the term of b from one side of the equation.

Subtract the numbers from left to right.

⇒ 5-6=-1

⇒ -1=b

Change the equation.

⇒ b=-1

So, therefore, the y-intercept is -1.

[tex]\Longrightarrow: \boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

Therefore, the correct answer is y=-3/4x-1.

I hope this helps! Let me know if you have any questions.

Is the triangle shown below a right triangle?

Answers

No, not a right-angle triangle

The 3.5 should be 3.3 instead

Hope this helps!

Answer:

no ,left

Step-by-step explanation:

answer asap-30 points

Find the measure of angle R.

A- 45
B- 90
C- 60
D- 30

Answers

Answer: D
Explanation: I am not completely sure but the angles would be the same because they are right next to eachother
Hope this helps ;)

hour to the
39
It took Jerry 3 hours to get to his grandmother's house. He walked for
train station, rode on a train for 14 hours, and then took a bus.
How much time did Jerry spend riding on the bus?
Show your work.
Answer
hours

Answers

Answer:

What we know:

39 hours is the total amount of time spent on the trip.14 hours spent with both walking and the train.

Our challenge:

To figure out how many __ hours were spent on the bus.

Let's set up an equation,

-we'll assume that 'x' are the unknown hours spent on the bus.

The unknown hours spent on the bus plus the hours spent both on walking/and the train will equal a total of 39 hours.

So,

14 + x = 39

Solve for x;

-14        -14

x = 25, the hours Jerry spent riding on the bus is 25 hours.

Answer:

25 hours

Step-by-step explanation:

Given

It took 39 hours in total to get to his grandmother's houseWalking and train transit takes 14 hours together

Solving

Total time = Time (walking) + Time (train) + Time (bus)39 hours = 14 hours + Time (bus)Time (bus) = 39 - 14 = 25 hours

Find the volume of a pyramid with a square base, where the perimeter of the base is 14 m and the height of the pyramid is 8.8 m. Round your answer to the nearest tenth of a cubic meter.

Answers

The volume of the pyramid with a square base, where the perimeter of the base is 14 m and the height of the pyramid is 8.8 m is 35.9 m³

How do i determine the volume of the pyramid?

First, we shall determine the determine the area of the square base. This is shown below:

Perimeter of square (P) = 14 mArea of the square base (A) = ?

P = 4L

14 = 4L

Divide both sides by 4

L = 14 / 4

L = 3.5 m

Now, the area is obtained as follow

A = L²

A = 3.5²

A = 12.25 m²

Finally, we shall determine the volume of the pyramid. Details below:

Area of the square base (A) = 12.25 m²Height of pyramid (h) = 8.8 mVolume of pyramid (V) = ?

V = ⅓Ah

V = ⅓ × 12.25 × 8.8

V = 35.9 m³

Thus, we can conclude that the volume of the pyramid is 35.9 m³

Learn more about volume of pyramid:

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100 points HELP (EASY)

Answers

Answer:

6 inches

Step-by-step explanation: I did the test

Answer

HEY :) do you want hep with all f them or just some of the awnsers

Step-by-step explanation:

i need help, this is my last question​

Answers

Answer:

a

Step-by-step explanation:

Find the measure of each angle indicated.

Answers

The measure of the unknown angle in the triangle is 58 degrees.

What is a triangle ?

A triangle has three sides and the sum of the angles of a triangle is 180 degrees.

Triangles can be classified base on there angles and length of the sides.

Therefore,

let the length of the unknown angle = x

x + 65° + 57° = 180°

x + 122 = 180

subtract 122 from both sides

x + 122 - 122 = 180 - 122

x = 58 degrees

leanr more on triangle here: https://brainly.com/question/8691602

7
In a circle, which ratio is equivalent to t?
- One
er
O A. area of a circle to its circumference
OB. radius of a circle to its area
-67
Q
67
O C. diameter of a circle to its radius
OD, circumference of a circle to its
diameter

Answers

Answer:

D

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex], while the diameter of a circle is 2r. [tex]\frac{2\pi r}{2r} = \pi[/tex]

I believe it will be D

What’s bigger - 2/3 or -0.8

Answers

Answer:

-2/3  is greater than  -0.8

Step-by-step explanation:

-2/3 when made into a decimal is about -0.67

This is greater than -0.8 because -0.67 covers less area when put into a visual.

Answer:

Convert -0.8 into a fraction or -2/3 into a decimal;

-2/3 in decimal form = -0.666...

Compare the two decimals;

-0.8 __ -0.666...

-0.8 < -0.666..., so -2/3 is greater.

Please answer quick its due soon!!

Answers

Answer:

50000000 HAIII OK YA IS WRONG BYY GL

Step-by-step explanation:

Answer/Step-by-step explanation:

A. constant rate is y = 2x

(Since it goes up by 2 and over one)

B. unit rate is 2 dollars per pound

C. y = 2 (10)

y = 20

$20 per 10 pounds of pears

Hope this helps :)

i need help with this quick plss​

Answers


semi cirrcular is very okay cuase yes lol get suspeneded

64÷7890 su resultado y lo que sobra plis :/

Answers

Answer:

0.008111533587 o 32/3945​

Step-by-step explanation:

Sasha's family traveled 2/7 of the distance to her aunt’s house on Saturday. They traveled 4/5 of the remaining distance on Sunday. What fraction of the total distance to her aunt’s house was traveled on Sunday?

Answers

The fraction of the total distance Sasha traveled to her aunts house is 6/7

Step-by-step explanation:

Identify the graphed linear equation.

A: y=2x +2
B: y=2x +3
C: y=3x +2
D: y=3x +3

Answers

Answer:

B: y = 2x + 3

Step-by-step explanation:

The 2x is the slope, and the 3 is the y-intercept

The y-intercept is kinda like how far the slope is from zero, but it can only be applied to the y-axis.

The slope is... well... the slope-- like how steep it is. If a slope is 2/1, like in the graph, it will go higher 2 units every 1 unit across. Or, if the slope is 1/4: The slope will go 1 unit higher every 4 units

Which of the following is the best estimate for the mass of an adult rabbit?
2g, 3 kg, 200 g,
200 g, 40 kg, 50g

Answers

Answer:

50 g

Step-by-step explanation:

Find the value of x
Find the measures of the following angles

Answers

Answer:

Step-by-step explanation:

what is 2 multiplied 34 times plus 72 divided 3

Answers

Answer:

92

Step-by-step explanation:

2 × 34 + 72 ÷ 3

(2 × 34) + (72 ÷ 3)

68 + 24 = 92

I hope this helps!

express the following rational algebraic expression to its simple form.show your solution​
4. ײ - 1 / ײ - 2×+1​

Answers

Answer:

[tex]\dfrac{x+1}{x-1}[/tex]

Step-by-step explanation:

Given expression:

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

Factor the numerator and denominator

[tex]\implies \dfrac{(x+1)(x-1)}{(x-1)(x-1)}[/tex]

Factor out the common term [tex](x-1)[/tex]:

[tex]\implies \dfrac{x+1}{x-1}[/tex]

[tex]\rm{blue{ANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWER:}}[/tex]

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\rm The\ answer\ is \rightarrow \red{\dfrac{x + 1}{x - 1}}[/tex]

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]blue{\boxed{ \red{\rm {CarryOnLearning!}}}}[/tex]

if the mean of 4 6 9 11 10 and k is 8 what is its median​

Answers

This is the answer:
9 is the median
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