What are the features of the quadratic function ƒ(x) = x2 + 10x + 21?

What Are The Features Of The Quadratic Function (x) = X2 + 10x + 21?

Answers

Answer 1

Answer:

B is the answer

Step-by-step explanation:

The intercept is at x = 0 then y = 21 or (0,21) so A and D drop out.

The vertex (-5, -4) satisfies the equation but (-4,-5) does not so C drops out leaving B.

Answer 2

Answer:

B.

Step-by-step explanation:

B.


Related Questions

Find the value of the sum 219+226+233+⋯+2018.

Assume that the terms of the sum form an arithmetic series.

Give the exact value as your answer, do not round.

Answers

Answer:

228573

Step-by-step explanation:

a = 219 (first term)

an = 2018 (last term)

Sn->Sum of n terms

Sn=n/2(a + an)         [Where n is no. of terms] -> eq 1

To find number of terms,

an = a + (n-1)d     [d->Common Difference] -> eq 2

d= 226-219 = 7

=> d=7

Substituting in eq 2,

2018 = 219 + (n-1)(7)

1799 = (n-1)(7)

1799 = 7n-7

1799 = 7(n-1)

1799/7 = n-1

257 = n-1

n=258

Substituting values in eq 1,

Sn = 258/2(219+2018)

    = 129(2237)

    = 228573

Where did term “infinity” come from

Answers

the English mathematician John Wallis in 1655 invented the word infinity Infinity is from the Latin, infinitas. In general, the word signifies the state from an entity's not ending/limit.

Which value of x makes this equation true?-9x+15=3(2-x)

Answers

Step-by-step explanation:

-9x+15=3(2-x)

expand the bracket by the right hand side

6-6x

2. collect like terms

-9x+15= 6-6x

15-6 = 6x+9x

11= 15x

3. divide both sides by the coefficient of X which is 15

x= 11/15

help help help help

Answers

Answer:

abc is a triangle so ,

a is ( 9,6 )

b is ( 9,3 )

and c is ( 3,3 )

Determine three consecutive odd integers whose sum is 2097.

Answers

Answer:

first odd integer=x

second odd integer=x+2

third odd integer=x+4

x+x+2+x+4=2097

x+x+x+2+4=2097

3x+6=2097

3x=2097-6

3x=2091

3x/3=2091/3

x=697

therefore, x=697

x+2=697+2=699

x+4=697+4=701

what does this equal 2^3 + 6^5=

Answers

[tex]\\ \sf\longmapsto 2^3+6^5[/tex]

[tex]\\ \sf\longmapsto 2^3+(2\times 3)^5[/tex]

[tex]\\ \sf\longmapsto 8+2^5\times 3^5[/tex]

[tex]\\ \sf\longmapsto 8+32\times 243[/tex]

[tex]\\ \sf\longmapsto 40+7776[/tex]

[tex]\\ \sf\longmapsto 7784[/tex]

Answer:

2*2*2= 8

6*6*6*6*6= 7,776

7,776+8=

7,784

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x = 6.2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 32 = x/ 10

10 tan 32 = x

x=6.24869

Rounding to the nearest tenth

x = 6.2

Answer:

x=6.2 (Rounded to the nearest tenth)

Step-by-step explanation:

This problem gives you an angle(32°), and ask for the dimension of the opposite side to that angle(x), along with another dimension the adjacent side(10).

Since you have the opposite and adjacent sides, you can use tangent. opposite (x) over adjacent (10). Tan(32) =[tex]\frac{x}{10}[/tex]. You want (x) so multiply tan(32) by 10. Then round to the nearest tenth.

Remember to put calculator in degree mode!

tan (32) = 0.6248693519 multiply by ten 6.248693519. Round to nearest 10th 6.2.

Hope this helps!

how many inches is 775 centimeters

Answers

Answer:

305.11

Step-by-step explanation:

Just use a calculator. A centimeter is 2.5 inches. Divide 775 by that.

If LM = 9x + 27 and RS = 135, find x.

Answers

Answer:

x=12

Step-by-step explanation:

LM = RS

9x+27 = 135

Subtract 27 from each side

9x+27-27 =135-27

9x=108

Divide each side by 9

9x/9 = 108/9

x = 12

the boxes are equivalent so the one with a single dash is equal to the other with a single dash.

the one with 2 dashes is equal to the other with 2 dashes so on and so forth

SR=LM

LM=9x+27

RS=135

9x+27=135

so I solve it in my own weird way but you can solve it differently. 135-27=108

108/9=12

so your answer is 12

Two observers are 300 ft apart on opposite sides of a flagpole. The angles of
elevation from the observers to the top of the pole are 20°
and 15°. Find the
height of the flagpole.

Answers

I know similar questions and have answers. do you want

2. Determine the measure of the angles indicated by letters. Justify your answers with the
properties or theorems you used.

Answers

Answer:

a = 50°

b = 130°

c = 50°

d = 50°

e = 130°

f = 130°

g = 50°

Answered by GAUTHMATH

Hi, Which option is correct??

Answers

Answer:

B

Step-by-step explanation:

option B is not similar.

the ratio of each side isn't same

result of 5 and 75 with dividid by 3

Answers

Answer:

your answer is 30

Step-by-step explanation:

I hope this help

Please help I’ll mark as brainlist

Answers

Answer:

Ekta and Preyal

Step-by-step explanation:

Answer: Ekta and Preyal

Originally the cubes have a perimeter of 15, both Ekta and Preyal have a perimeter of 17 which is exactly a 2 unit increase

Help ASAP please :))

Image attached

Answers

No Sophie made a mistake going from step one to two. (She should’ve multiplied 9*2 and 6*7 instead of dividing first, she didn’t follow PEMDAS)

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

A natural number is a positive whole number.

A whole number is a positive number with no fractions or decimals.

A interger is a whole number negative or positive.

A rational number is a number that terminates or continue with repeating digits.

A irrational number is a number that doesn't terminate or continue with repeating digits.

1. Rational Number

2. Natural,Whole,Interger,Rational

3. Whole,Rational,Interger

4. Rational

5.Irrational

6.Rational

7.Natural,Whole,Interger,Rational

8.Interger,Rational

9.Irrational

convert 10.09% to a decimal

Answers

Answer:

0.1009

Step-by-step explanation:

To convert percentage into decimal, you need to divide the percentage by 100

10.09/100

= 0.1009

To convert 10.09% to a decimal, we need to decide it by 100 like so:

10.09 ÷ 100 = 0.1009

Therefore, the answer is 0.1009

Write the equation of the sinusoidal function shown?

A) y = cos x + 2

B) y = cos(3x) + 2

C) y = sin x + 2

D) y = sin(3x) + 2

Answers

Answer:

günah(3x) + 2

Step-by-step explanation:

Gösterilen sinüzoidal fonksiyonun denklemini yazınız? A) y = cos x + 2 B) y = cos(3x) + 2 C) y = günah x + 2 D) y =

Answer:

y = sin(3x) + 2

ax^2-y^2-x-y factorize​

Answers

Answer:

x(ax-1)-y(y+1)

Step-by-step explanation:

you have to group the like terms

ax^2-x-y^2-y

x(ax-1)-y(y+1)

I hope this helps

PLS HELP ME ON THIS QUESTION I WILL MRK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean

Answers

Answer:

range

Step-by-step explanation:

Answer:

B. range.

Step-by-step explanation:

others are:

» Standard variation.

» Interquatile range.

» Quatiles, deciles and percentiles.

» variance.

[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]

−30=5(x+1)

what is x?

Answers

[tex]\\ \rm\Rrightarrow -30=5(x+1)[/tex]

[tex]\\ \rm\Rrightarrow -30=5x+5[/tex]

[tex]\\ \rm\Rrightarrow 5x=-30-5[/tex]

[tex]\\ \rm\Rrightarrow 5x=-35[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{-35}{-5}[/tex]

[tex]\\ \rm\Rrightarrow x=7[/tex]

Answer:

x = -7

Step-by-step explanation:

-30 = 5 (x -1 )

5 ( x + 1 ) =-30

5 (x + 1 ) = - 30

     5            5

x + 1 = -6

x + 1 -1 = -6 -1

x = - 7


Rationalise the denominator

Answers

Answer:

sqrt(3) /3

Step-by-step explanation:

1 / sqrt(3)

Multiply the top and bottom by sqrt(3)

1/ sqrt(3) * sqrt(3)/ sqrt(3)

sqrt(3) /  sqrt(3)*sqrt(3)

sqrt(3) /3

Answer:

[tex] = { \sf{ \frac{1}{ \sqrt{3} } }} \\ \\ { \sf{ = \frac{1}{ \sqrt{3} } . \frac{ \sqrt{3} }{ \sqrt{3} } }} \\ \\ = { \sf{ \frac{ \sqrt{3} }{ {( \sqrt{3}) }^{2} } = \frac{ \sqrt{3} }{3} }} [/tex]

Determine the sum of the first 33 terms of the following series:

−52+(−46)+(−40)+...

Answers

Answer:

1320

Step-by-step explanation:

Use the formula for sum of series, s(a) = n/2(2a + (n-1)d)

The terms increase by 6, so d is 6

a is the first term, -56

n is the terms you want to find, 33

Plug in the numbers, 33/2 (2(-56)+(32)6)

Simplify into 33(80)/2 and you get 1320

What is the area of a rectangle with vertices at (7,3) (12,3) (12,11) (7,11)

Answers

Answer:

Area = 5 × 8

= 40 square units

Answer:

40^2

Step by Step Solution:

I counted the difference between the length and the width, which was 5 and 8, then using the formula for area, lw=a^2, I did 5(8)=40^2.  Some people leave out the squared part of the area, but 40^2 would be the most correct option if they do not square any of the answers, just put 40 that'll probably be accepted too.

3,125 subtracted by what can give me 514

Answers

Answer:

2611

Step-by-step explanation:

3125-2611= 514

for more answers check my bio

PLS HELP ASAP NOW I REALLY NEED HELP ITS PYTHAGOREAN THEOREM

Answers

Answer:

a=7.14yd

Step-by-step explanation:

process same as in above question

If a line has a midpoint at (2,5), and the endpoints are (0,0) and (4,y), what is the value of y? Please explain each step for a better understanding:)

Answers

Answer:

y = 10

Step-by-step explanation:

To find the y coordinate of the midpoint, take the y coordinates of the endpoints and average

(0+y)/2 = 5

Multiply each  die by 2

0+y = 10

y = 10

F is on the bisector of angle BCD. Find the length of FD (with lines over FD)

Answers

Answer:

8n-2 = 6n+9

2n-2 = 9

2n = 11

n = 5.5

So C is correct

Let me know if this helps!

Two lateral faces of a rectangular pyramid have a base length of 10 inches and a height of 15 inches. The other two lateral faces have a base length of 18 inches and a height of 13 inches. What is the surface area of the rectangular pyramid?

Answers

The surface area of the rectangular pyramid is the sum of the area of its individual surface. The surface area of the pyramid is 384 square inches.

Each surface of the rectangular pyramid has the shape of a triangle.

So that the area of each surface of the pyramid = [tex]\frac{1}{2}[/tex] x base x height.

From the given question;

The area of one of the two lateral faces = [tex]\frac{1}{2}[/tex] x b x h

                                                                 = [tex]\frac{1}{2}[/tex] x 10 x 15

The area of one of the two lateral faces = 75 square inches

Thus,

the area of the first two given lateral faces = 2 x 75

                                                            = 150 square inches

The area of the first two given lateral faces = 150 square inches

Also,

The area of one of the other two lateral faces = [tex]\frac{1}{2}[/tex] x b x h

                                                                             = [tex]\frac{1}{2}[/tex] x 18 x 13

The area of one of the other two lateral faces =  117 square inches

So that;

the area of the first two other lateral faces = 2 x 117

                                                            = 234 square inches

The area of the first two other lateral faces = 234 square inches

Thus,

the surface area of the pyramid = 150 + 234

                                                              = 384 square inches

Therefore, the surface area of the rectangular pyramid is 384 square inches.

For more clarifications: https://brainly.com/question/23564399

Answer:

Step-by-step explanation:

The surface area of the rectangular pyramid is the sum of the area of its individual surface. The surface area of the pyramid is 384 square inches.

Each surface of the rectangular pyramid has the shape of a triangle.

So that the area of each surface of the pyramid =  x base x height.

From the given question;

The area of one of the two lateral faces =  x b x h

                                                                =  x 10 x 15

The area of one of the two lateral faces = 75 square inches

Thus,

the area of the first two given lateral faces = 2 x 75

                                                           = 150 square inches

The area of the first two given lateral faces = 150 square inches

Also,

The area of one of the other two lateral faces =  x b x h

                                                                            =  x 18 x 13

The area of one of the other two lateral faces =  117 square inches

So that;

the area of the first two other lateral faces = 2 x 117

                                                           = 234 square inches

The area of the first two other lateral faces = 234 square inches

The area of the rectangle is B x H = 18 x 10 = 180 square inches

Thus,

the surface area of the pyramid = 150 + 234+180

                                                             = 564 square inches

Therefore, the surface area of the rectangular pyramid is 564 square inches.

3a + 2 = 20

5(b+1) = 10

3 (2y - 3) - 2y = y-3

2+ (2+4p) =6p

Please answer these questions with steps please!

Answers

1. 3a=20-2
3a=18
a=6

2. b+1=2
b=2-1
b=1

3. 6y-9-2y=y-3
4y-9=y-3
4y-y=-3+9
3y=6
y=2

4. 2+2+4p=6p
4+4p=6p
4p-6p=-4
-2p=-4
p=2
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