The function f is defined by f(x) = (x + 3)(x + 1).
The graph of f in the xy-plane is a parabola. Which
of the following intervals contains the x-coordinate
of the vertex of the graph of f?

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

The  zeroes ( = x-intercepts) are x = -3 and x = -1.

So the x -coordinate of the vertex is between x = -3 and x = -1.

The actual x-coordinate is halfway between these value: at x = -2.

Answer 2

Answer:

x = -3 or x = -1

Step-by-step explanation:

f(x) = (x + 3)(x + 1)

⇒ x = -3 or x = -1


Related Questions


Wendy opened a savings account 15 years ago with a deposit of $2,340.73. The account has an interest rate of 4.7% compounded monthly. How much interest has
Wendy earned?

Answers

Answer:

$4661.77

Step-by-step explanation:

100 + 4.7 = 104.7%

104.7% = 1.047

$2340.73 x 1.047^15 = $4661.77

4661.77, that’s how much Wendy earned . Ah it’s no problem don’t mention it

A gallon of paint covers 825 square
feet. How much paint is needed to
paint a house with a surface area of
6600 square feet?

Answers

Answer:

8 gallons

Step-by-step explanation:

1 gallon → 825 sq. feets

X Gallons → 6600 sq. feets

X=6600÷825= 8

Answer: 8 gallons

Step-by-step explanation:

If 1 gallon of paint covers 825 square feet, divide 6600 square feet by 825 square feet to determine the amount of paint needed to paint the house which would be 8 gallons.

PLEASE HELP! Will mark brainliest! Find the intercepts for the following linear equation: y=−5

Answers

Answer:

hi :)

Step-by-step explanation:

Y intercept (C)= -5

I think it will help you.

6.01 what is the value of the expression 2 + 3² • (4 - 1)

Answers

Answer:

29

Step-by-step explanation:

using pemdas, you first need to solve 3² which is 9. Then you do what's in the parenthesis (4-1) which is 3. you'll first multiply 9 and 3 (27) add the 2 and there's your answer, 29.

=2+9*4-1
=2+9*3
=2+27
=29 here’s your answer

A solid hemisphere has volume 230cm^3. (a) Calculate the radius of the hemisphere. [The volume, V, of a sphere with radius r is V = 4 /3 = π r^3 .]

Answers

Answer:

[tex]\huge\boxed{r = 4.8\ cm}[/tex]

Step-by-step explanation:

Since it's a hemisphere, the volume will be:

Volume of Hemisphere = [tex]\frac{2}{3} \pi r^3[/tex]

Given that Volume of hemisphere = 230 cm³

230 = [tex]\frac{2}{3} \pi r^3[/tex]

Multiplying both sides by 3

230 * 3 = 2πr³

690 = 2πr³

Dividing both sides by 2π

690 / 2π = r³

r³ = 109.8

Taking cube root on both sides

r = 4.8 cm

Answer:

[tex]\large \boxed{\mathrm{4.79 \ cm}}[/tex]

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

The formula for the volume of hemisphere is V = 2/3πr³.

The volume is given.

230 = 2/3πr³

Solve for r or radius.

Multiply both sides by 3/2.

230 × 3/2 = 2/3πr³ × 3/2

345 = πr³

Divide both sides by π.

(345)/π = (πr³)/π

109.816910733 = r³

Take the cube root of both sides.

∛(109.816910733) = ∛(r³)

4.78876002459 = r

PLEASE HELP ME!!!!!!!!!!!!

Answers

Answer:

1. 4, 4, 6, 8

2. 5, 11, 3, 1

3. 11, 27, 111

4. [tex]16\sqrt{14}-31[/tex]

5. [tex]20\sqrt{2}-56[/tex]

Step-by-step explanation:

For the tables remember that after you solve any negative number will turn positive

For 4-5 just plug in what is in the parenthesis into x and solve

1. 4,4,6,8

2. 5,11,3,1

3. 11, 27, 111
__
4. 16\|14 -31
___
5. 20\|2 - 56

help. . . . . . . . . . .

Answers

Answer:

I belive the slope will equate to 3/1 x

Step-by-step explanation:

3/1 is the answer of the equation

Eric makes a fruit salad. He uses 1/2 cup blueberries, 2/3 cup strawberries, and 3/4 cup apples.

How much fruit did Eric use in all?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Rewrite the fractions so they have a common denominator

1/2 = 6/12

2/3 = 8/12

3/4 = 9/12

Now add them together:

6/12 + 8/12 + 9/12 = 23/12 rewrite to a mixed number: 1 and 11/12 total cups

Yes what she said she is there I just

help me with these thanks

Answers

This is the answer to your question
Answer: I do not know

Explanation:

What is the number of real solutions? 2q^2−8q+4=0

Answers

Answer:

there's two

Step-by-step explanation:

q=(4-√24)/2=2-√6=-0.449

and

q=(4+√24)/2=2+√6=4.449

The perimeter of the rectangle below is 114 units. Find the length of side PQ.
Write your answer without variables.

Answers

Answer:

36.

Step-by-step explanation:

The perimeter = 2 * length + 2 * width, so we have:

2(2x - 1) + 2(3x + 3) = 114

4x + 6x - 2 + 6 = 114

10x = 114+ 2 - 6 = 110

x = 11.

So the length = 3(11) + 3

= 36.

Translate to an expression. How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?

Answers

Answer:

10*h+3*2*10

Step-by-step explanation:

hakkajjjjjjjjjjjjjjbhhhbbbbbb

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?
(16, positive infinity)
(Negative 16, positive infinity)
(Negative infinity, 16)
(Negative infinity, Negative 16)

Answers

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}

16, + infinity . Multiply sides by 1/9 n rages to infinity from 16.


Find the lateral area of this pyramid
whose base is an equilateral triangle. Its
slant height is 12 in. and the length of each
side of the triangular base is 5

Answers

Answer:

  90 in²

Step-by-step explanation:

The lateral area can be found using the formula ...

  LA = (1/2)Ph

where P is the perimeter of the base and h is the slant height. For your dimensions, the lateral area is ...

  LA = (1/2)(3×5 in)(12 in) = 90 in²

The lateral area is 90 square inches.

The answer is 90 squared!!!!

Jill paid $36 for calendars marked down $5 apiece from the original price, she could have gotten 5 fewer calendars. How many cards did she buy

Answers

Answer:

she bought 7 cards

Step-by-step explanation

7x5=35 and im sure there is tax

She bought 7 cards .. I say that bc if you divide 36 and 5 you’d get 7 and 5x7 is 35

Name four fractions between 5/6 and 7/8

Answers

Answer:

101/120, 102/120, 103/120, and 104/120.

Step-by-step explanation:

First find the LCM of 6 and 8:24

So the two given fractions are 20/24, and 21/24

Since the the fractions will become decimals with the denominator 24, choose another denominator: 48

So the two given fractions are 40/48 and 42/48.

Even this denominator isn't possible so continue with different denominators.

As I notice, that each multiple increases by 1...

20-21, 40-42, 60-63, 80-84, and 100-105.

100-105 is the only numerator that has 4 numbers in-between so, the four fractions between 5/6 and 7/8 are: 101/120, 102/120, 103/120, and 104/120.

And the 2 given fractions are 100/120 and 105/120.

I hope this helps and plz mark me brainliest!!

The fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.

What is a fraction?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator, and denominator.

For the given situation,

The fractions are 5/6 and 7/8.

The fractions between any two fractions can be obtained by adding them without considering the denominator.

Fraction 1:

[tex]\frac{5+7}{6+8}=\frac{12}{14}[/tex]

⇒ [tex]\frac{6}{7}\\[/tex]

Fraction 2:

[tex]\frac{6+7}{7+8} = \frac{13}{15}[/tex]

Fraction 3:

[tex]\frac{5+6}{6+7} = \frac{11}{13}[/tex]

Fraction 4:

[tex]\frac{6+11}{7+13}=\frac{17}{20}[/tex]

Hence we can conclude that the fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.

Learn more about the fractions here

https://brainly.com/question/943717

#SPJ2

Order from least to greatest: 0.4 5/8 38% 0.52

Answers

Answer:

The correct ans is....

38%

0.4

0.52

5/8

Step-by-step explanation:

Order form least to greatest means " Ascending order "

38 % = 38/100

0.4 = 40/100

0.52 = 52/100

5/8 =  62.5/100

Hope this helps.....

Pls mark my ans as brainliest If u mark my ans as brainliest u will get 3 extra points

Answer:38% ,0.4 ,0.52 ,5/8

Step-by-step explanation:

becuase when you turn them into decimals you will get

38%=0.38

0.4=0.4

0.52=0.52

5/8=0.625

Hopes this helps

Please help I'll give you brainliest! Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = 3 Find: AC

Answers

Answer:

3 uhhh i have to write 20 letters so aha nice

What is the coefficient of x5y5 in the expansion of (x + y)10?

Answers

Answer:

C=252

Step-by-step explanation:

Given:

x^5y^5

(x+y)^10

Find the coefficient of x^5y^5

To get the coefficient of x^5y^5,

we will put r = 5, in the below given general term.

The general term is : nCr =x^ry^n-r

We get:

Coefficient is = 10C5

= 10!/5!*5!

= 252

The coefficient of x^5y^5 is 252

C. 252

252

GOD BLESS U. Sorry if I’m wrong I tried my best

Does the table represent a linear function ??

Answers

Answer:

No.

Step-by-step explanation:

The points from the table need to have a constant slope for the function to be linear.

Slope is rise over run.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For (1,1) and (2,2):

[tex]m=\frac{2-1}{2-1}=\frac{1}{1}=\boxed{1}[/tex]

The slope is 1.

For (3,6) and (4,24):

[tex]m=\frac{24-6}{4-3}=\frac{18}{1}=\boxed{18}[/tex]

The slope is 18.

1 ≠ 18

Since the slopes of the points are no consistent, the table represents a nonlinear function.

Therefore,

The table does NOT represent a linear function.

No, because the points on the table need to have a constant slope for the function to be linear.

The sum of 6 even integers is 130 what is the 2nd number in the sequence

Answers

Answer:

The 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

Step-by-step explanation:

Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10

We are given that The sum of 6 even integers is 130.

So,2x+2x+2+2x+4+2x+6+2x+8+2x+10=130

12x+30=130

12x=100

[tex]x=\frac{100}{12}[/tex]

So,the 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

2 (100/12) + 2
______________

Write the equation for the following table:


Answers

Answer:

y = 10x + 20

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (20 - 10)/(0 - -1)

m = 10/(0 + 1)

m = 10/1

m = 10

y = 10x + b

Step 2: Find y-intercept

(0, 20) is y-int from graph

Step 3: Plug into form

y = 10x + 20

The answer is Y=10x+20

URGENT!!!! PLEASE HELP NOW!!! WHO EVER GIVES THE CORRRECT ANSWER WILL GET BRAINLIEST!!!

Items Sold at a Clothing Store
The bar graph shows the number of each item sold at a clothing store. Which
statement about the graph is true?​

Answers

Answer:

The correct ans is..... ( which i believe )

3rd option

Hope this helps...

Pls mark my ans as brainliest

If u mark my ans as brainliest u will get 3 extra points

Answer:

3rd option

Step-by-step explanation:

because 2/5 of 40 is equal to 16, and thats the equivelent of the pants sold.

Express each of the following decimals as a percentage
1.35
solution for class 7

Answers

Answer:

135%

Step-by-step explanation:

To represent a decimal to percentage, multiply by 100

1.35 x 100 = 135

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

the answer would be 135%

Write the equation for the following table:
X. Y.
0 3
1 7
2 11
3 15

Answers

Answer:

[tex] y = 4x + 3 [/tex]

Step-by-step explanation:

The equation of the table of values given can be written as [tex] y = 4x + 3 [/tex] .

When x = 0,

[tex] y = 4(0) + 3 [/tex]

[tex] y = 0 + 3 = 3[/tex] this corresponds with what we have in the table above.

Let's try another.

When x = 2,

[tex] y = 4(2) + 3 [/tex]

[tex] y = 8 + 3 [/tex]

[tex] y = 11 [/tex]

This also corresponds with what we have in the table.

Therefore, the equation of the table given is [tex] y = 4x + 3 [/tex] .

y=4x+12 thats the equation

The length of a rectangular picture is 5 inches more than three times the width. Find the dimensions of the picture if its perimeter is 74 inches.

Answers

Answer:

Length = 29 inchesWidth = 8 inches

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length of the rectangle

w is the width

From the question

length of a rectangular picture is 5 inches more than three times the width is written as

l = 5 + 3w

Now substitute this into the above equation

Perimeter = 74 inches

74 = 2(5 + 3w) + 2w

74 = 10 + 6w + 2w

8w = 74 - 10

8w = 64

Divide both sides by 8

w = 8 inches

Substitute w = 8 into l = 5 + 3w

That's

l = 5 + 3(8)

l = 5 + 24

l = 29 inches

Length = 29 inchesWidth = 8 inches

Hope this helps you

Length-29 inches
Width-8 inches

Sorry if im wrong i tried my best. God bless u

Uh I'm confused on how to do this may someone help?

Answers

Answer:

5

Step-by-step explanation:

Use the distance formula

[tex]\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}[/tex]

[tex]\sqrt{(-2+7)^{2}+(4-4)^{2}}[/tex]

[tex]\sqrt{5^{2}}=5[/tex]

You can also just subtract: -2-(-7) to get 5 because the y-values are the same

Answer:

5

Step-by-step explanation:

-2 - (-7)

-2 + 7

= 5

i need to know what the answer is!?

Answers

Answer:

2

Step-by-step explanation:

Use PEMDAS

First simplify the exponent (9)

Next multiply 5 and 3 (15)

Now add 15 and 15 (30)

Add 9 and 6 (15)

Lastly simply 30 by 15 (2)

Answer:

[tex]\boxed{A. 2}[/tex]

Step-by-step explanation:

Hey there!

Well we first need to solve the top part.

15 + 5 * 3

5*3 = 15

15 + 15 = 30

3^2 + 6

3*3 = 9

9+6 = 15

Now we have 30 ÷ 15 = 2.

Hope this helps :)

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 ft to 72 ft Thankyou!! please hurry tho lol

Answers

Answer:

5/9 is the simplest fraction for this ratio

the easiest fraction would be 5/9 because both the numerator and denominator can be divided by 8

How many of the positive integer factors of 15552 are perfect squares?


Please show work, will mark brainliest if correct

Answers

Answer: 9 integers factors

Step-by-step explanation:

Let's first find the factor of 15552

15552 / 2 = 7776

7776 / 2 = 3888

3888 / 2 = 1944

1944 / 2 = 972

972 / 2 = 486

486 / 2 = 243

273 / 3 = 81

81 / 3 = 27

27 / 3 = 9

9 / 3 = 3

3 / 3 = 1

Some of the factors of 15552 are:

2×2×2×2×2×2×3×3×3×3×3

4×4×4×9×9×3

4^2 × 9^2 × 4 × 3

The factor that are perfect square are:

4, 9, 16, 36, 64, 81, 144, 576, 1296

Therefore, 9 of the positive integer factors of 15552 are perfect squares.

Answer:

9 of the positive integer factors of 15552 are perfect squares
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