Which is the completely factored form of 4x2 + 28x + 49?
O
(x + 7)(4x + 7)
4(x + 7)(x + 7)
(2x + 7)(2x + 7)
2(x+7)(x + 7)
.

Answers

Answer 1

Answer:

(2x + 7)(2x + 7)

Step-by-step explanation:

[tex]4 {x}^{2} + 28x + 49 \\ = 4 {x}^{2} + 14x + 14x + 49 \\ = 2x(2x + 7) + 7(2x + 7) \\ = (2x + 7)(2x + 7)[/tex]

Answer 2

Answer:

3) (2x+7)(2x+7)

Step-by-step explanation:

FOIL (first, outer, inner, last) it back out, you get 4x^2 + 14x + 14x + 49 which simplifies to the original.


Related Questions

Celine flipped a coin 100 times. She flipped heads 41 times and tails 59 times. What is the experimental probability that the next flip will be heads?



A - 41/100

B - 1/2

C - 3/4

D - 59/100

Answers

Answer:

B - 1/2

Step-by-step explanation:

In this situation each experiment does not affect the probability of the next one. That is, each experiment is independent of the rest. Hence, independently of the result of the first 100 times the next probability in which Celine does the experiment, the propability will be 1/2.

B - 1/2

Answer:

B- 41/100

Step-by-step explanation:

Because this is an experimental (not theoretical) probability, which is the ratio of number of outcome as head over the total number of trial, the experimental probability of the next flipping be head would be the total number of heads that she'd gotten before over the total number of times that she'd try, which is 41 / 100

What is the definition of the word "mean?"
A
The average of a set of numbers.
B
The number that occurs most often in a set.
C
The difference between the greatest and the least values in a set.
D
The middle number of a set when arranged in value order.

Answers

A! The average of a set of numbers.

Explanation:
How you find the mean is the same way you average a set of numbers.

Answer:

the average number of a set

Step-by-step explanation:

identify the range of the function

Answers

Answer:

-2≥y≥4

Step-by-step explanation:

Since the y values go down to -2 and come up to 4 that is the answer

In triangle abc, AC=15 BC=11 and m

Answers

Answer: 10

Step-by-step explanation:

In a right angle triangle

Hypothenus ^2= opposite ^2+ adjacent ^2

According to a diagram below

Hypothenus =15

Opposite =?

Adjacent =11

Substitute for the values

15^2=11^2+opp^2

Opp^2=15^2-11^2

0pp^2= 225-121

Opp2=104

Opp= square root of 104

Opp= 10.2

Opp= ~10


[tex]6x^2 = 726[/tex]

Answers

Answer:

[tex]x=11\\[/tex]

Step-by-step explanation:

[tex]6x^2=726[/tex] First, you need to divide everything by 6.

[tex]x^2=121[/tex]Then you put everything in a radical to get this:

[tex]x=11[/tex]

Answer:

[tex]6 {x}^{2} = 726 \\ \frac{6 {x}^{2} }{6} = \frac{726}{6} \\ {x}^{2} = 121 \\ x = \sqrt{121} \\ x = 11[/tex]

12. On Saturday, Mrs. Armour bought 7 pairs of socks for $3 each, and a
sweater for her dog for $12. Then she found a $5 bill on the sidewalk.
Over the course of Saturday, what was the change in the amount of
money Mrs. Armour had?

Answers

The answer is 28 $ ok I think that

Answer:

This answer is -28

I have this problem on my school work this is what the correct answer is ;3

the area of a parallelogram can be found by multiplying the distance between two parallel sides by the length of either of those sides. explain why this formula works.

Answers

Because it’s length with height in parallel are two lines that arethe same length

57:23
The two-way table shows the ages of the players on different soccer teams.
Team A
4
Team D
3
8 Years Old
9 Years Old
| 10 Years Old
Total
Team B Team C
6
8
4
3
35
13
16
Total
21
23
14
58
Which statement is true?
The probability that a randomly selected player on Team A is 8 years old is 4
The probability that a randomly selected 8-year-old player is on Team C is 16
The probability that a randomly selected player on Team C is 10 years o
The probability that a randomly selected 10-year-old player is on Team Bi
Save and Exit
Mark this and return
Submit
Next

Answers

Answer: 5/16

Step-by-step explanation:

i just took the test

The answer is C. The probability that a randomly selected player on Team C is 10 years old is 5/16.

Good luck :)

2. y=-3x-6
Slope m=
y-intercept br

Answers

slope is -3
y intercept is -6
The Slope is, -3
Y-intercept is, -6

Use the net to find the surface area of the prism.​

Answers

286 feet; use the numbers and find the area of each rectangle, then add them all together.

Answer:

Step-by-step explanation:

THE ANSWER IS 286 FT

JUST TOOK QUIZ ON GRADPOINT

Solve the equations 7 = 4(c - 6)

Answers

Answer:

c=7.75

Step-by-step explanation:

First distribute the 4 on the right side

7=4(c-6)

7=4c-24

Add 24 on both sides

31=4c

Divide by 4 on both sides

c=7.75

Hope this helps!

Answer:

7.75 -= c

Step-by-step explanation:

Alright let's do this step by step!

7 = 4c - 24

add 24 to both sides :)

31 = 4c

divide by 4 (both sides)

c = 7.75

Thank me later :)

Luke has 22 lots for sale. Each lot is 1.63 acres. How much land does Luke have for sale?
OA 37.49 acres
OB. 36.76 acres
OC. 35.86 acres
OD 38.06 acres

Answers

Answer: 35.86acres

Step-by-step explanation:

Luke has 22lots for sale

Each lot is 1.63acres

Since each lot is 1.63acres and there are 22lots

So Luke has

22×1.63acres

=35.86acres

Final answer:

Luke has 35.86 acres of land for sale, which is the product of multiplying 22 lots by 1.63 acres per lot.

Explanation:

To calculate the total amount of land Luke has for sale, multiply the number of lots by the acreage of each lot. There are 22 lots for sale, and each lot measures 1.63 acres. The calculation is as follows:

Total land = Number of lots  * Acreage of each lot
Total land = 22 * 1.63
Total land = 35.86 acres

So, Luke has a total of 35.86 acres of land for sale, which corresponds to option OC.

Create a cylinder with a height of 8 cm and a radius of 4
cm. Make note of the volume.
Which could you do to increase the volume? Check all
that apply.
Double the height
Double the radius
Double the height but half the radius.
Double the radius but half the height.
Make the radius and height both 6 cm.

Answers

Answer: The volume is 128pi cm or 402.12 cm. To increase the volume you can double the height, double the radius, double the radius but half the height, and make the radius and height both 6 cm.

Step-by-step explanation:

To find the volume of the cylinder, use the equation [tex]\pi r^2h[/tex]. After plugging everything in, the equation is [tex]\pi (4^2)*8[/tex]. [tex]4^2[/tex]=16. 16*8=128. If you need a more accurate answer, multiply by pi to get 402.12 cm.

Doubling the height creates a volume of 256pi cm.

Doubling the radius creates a volume of 512pi cm.

Doubling the radius and halving the height creates a volume of 256pi cm.

Making both the radius and height 6 cm creates a volume of 216pi cm.

Answer:

1, 2, 4, 5

Step-by-step explanation:

your welcome.

Simplify by combining like terms: -3 + 6x - 18 - 22x *

Answers

Answer:

-21  -16x

Step-by-step explanation:

-3 + 6x - 18 - 22x

Combine like terms

-3 -18     +6x -22x

-21          -16x

Answer:

-21-16x

Step-by-step explanation:


Kimani ordered party hats for his son's birthday party and
spent over $40. If he ordered the hats from Party Plus, write
an inequality to represent the possible number of hats he
ordered.

Answers

The inequality representing the possible number of party hats (x) Kimani ordered from Party Plus is x>20. This means Kimani ordered more than 20 party hats to spend over $40, given the assumed minimum cost per hat from Party Plus.

Let's denote the number of party hats Kimani ordered from Party Plus as x. Now, if each party hat costs a certain amount, and Kimani spent over $40, we can set up an inequality to represent this situation.

Let be the cost of each party hat. The total cost (T) is given by multiplying the number of hats (x) by the cost per hat (c). Therefore, T=xc.

The problem states that Kimani spent over $40, so we can express this as an inequality: T>40

Now, substitute the expression for T in terms of x and xc>40

Since we are specifically looking at the scenario where Kimani ordered the hats from Party Plus, let's assume that each hat costs at least $2 (as a hypothetical example). So, c≥2. Now, substitute

c≥2 into the inequality:

x⋅2>40

Simplify the inequality:

2x>40

Now, divide both sides by 2 to solve for x>20.

HELP NEEDED !!! PLEASE

Answers

The external angles of a 12-gon add up to 360 degrees so each is 30 degrees.  That makes the internal angle the supplement, PQR=150 degrees.

We have an isosceles triangle so the other two angles add to 30 degrees, so 15 degrees.

Answer: 15 degrees

Angle PRO in a regular 12-gon is half an interior angle, so it measures [tex]$\boxed{75^\circ}$[/tex].

The strategy is to first calculate the sum of the interior angles of the dodecagon, and then divide that number by 2 because any angle of a regular polygon can be found by subtracting [tex]$180^\circ$[/tex] from the quotient you get when you divide the sum of the interior angles by the number of angles.

Here's the solution:

The sum of the interior angles of a polygon is given by the formula [tex]$(n-2)\times180^\circ$[/tex], where n is the number of sides.In a dodecagon, there are n=12 sides.Therefore, the sum of the interior angles of the dodecagon is [tex]$(12-2)\times180^\circ = 1800^\circ$[/tex].Since each angle of a regular polygon is equal, all the interior angles of the dodecagon measure [tex]$\frac{1800^\circ}{12} = 150^\circ$[/tex]Since [tex]$\angle PRO$[/tex] is half of an interior angle of the dodecagon, it measures [tex]$\frac{1}{2}\times150^\circ = \boxed{75^\circ}$[/tex].

ILL GIVE YOU BRAINLIEST? Which number line has a point at -4 1/2?

Answers

Answer:

A

Step-by-step explanation:

the number line has a -4 and adds the 1/2

hope this helps!!!

brainliest plz :)

A because the number line is at negative four and then adds the one and a half

The length of a rectangle is 1 m more than twice the width, and the area of the rectangle is 45 m . Find the dimensions of the rectangle.

Answers

The length and width of the rectangle is 10 m and 4.5 m respectively.

Step-by-step explanation:

Given,

The length of a rectangle is 1 m more than twice the width.

Area of the rectangle = 45 sq m

To find the length and width of the rectangle.

Formula

If the length and width of a rectangle be l and b respectively, the area will be lb.

Let, the width (b) be = x and

Length (l) = 2x+1

According to the problem,

(2x+1)x = 45

or, [tex]2x^{2} +x = 45[/tex]

or, [tex]2x^{2}+x-45 = 0[/tex]

or, [tex]2x^{2}+(10-9)x-45 = 0[/tex]

or, [tex]2x^{2}+10x-9x-45 = 0[/tex]

or, 2x(x+5)-9(x+5) = 0

or, (2x-9)(x+5) =

Hence,

2x-9 = 0 and x+5 = 0

or, x = [tex]\frac{9}{2}[/tex] and x= -5

We will take x =  [tex]\frac{9}{2}[/tex]  as the value of length cannot be negative.

So,

Width = 4.5 m and Length = 2×4.5+1 = 10 m

Final answer:

The area of a rectangle is determined by the product of its length and width. In this rectangle, the width (W) is found to be 5 meters by solving the given equation. The length, being 1 meter more than twice the width, is 11 meters.

Explanation:

To solve this problem, you can use the formula for the area of a rectangle, which is Area = length × width. You know from the problem that the area of the rectangle is 45 square meters, and the length (L) is 1 meter more than twice the width (W).

You can thus express the length in terms of the width: L = 2W + 1. Substituting this into the formula for the area gives you: 45 = W × (2W + 1).

Solving this equation involves expanding the right side: 45 = 2W² + W, arranging the equation to set the right side to zero: 2W² + W - 45 = 0

By factoring or using the quadratic equation, you find that the roots of the equation (the possible values for W) are 5 and -4.5. Since a negative width doesn't make sense in this context, you discard -4.5, and your width is thus 5 meters.

The length is then 2W + 1 = 2(5) + 1 = 11 meters. So, the dimensions of the rectangle are 5 meters by 11 meters.

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A map has a scale 1 inches : 10 miles. Use the given map distance to find the actual distance
A.3 in
B.7.5 in
C.1ft

Answers

Answer:

A - 30 miles

B- 75 miles

C- 120 miles

Glad I could Help :)

Step-by-step explanation:

what equation matches the table?

Answers

Answer:

C ; y =3x

Step-by-step explanation:

if you look at the function table

it goes like this

1 to 3

2 to 6

3 to 9

1*3=3

2*3=6

3*3=9

please thank me, rate, and mark brainliest if you like!

;)

Answer:

C

Step-by-step explanation:

The x values are multiplying themselves by 3 to get the y values

2n + 4n = 42

Answer: the value of n is .....

Answers

Answer:

7

Step-by-step explanation:

2n + 4n = 6n, adding like terms

6n = 42

6n/6 = 42/6

n = 7

Answer: 7

Step-by-step explanation:

4x7= 28 and 2x7=14

14+28= 42

What is the radius of a hemisphere with a volume of 60,750π cm3?

Answers

The radius of the hemisphere is 45 cm

Explanation:

Given:

Volume of the hemisphere, V = 60750π cm³

Radius of the hemisphere, r = ?

We know:

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

[tex]60750\pi = \frac{2\pi r^3 }{3} \\\\r^3 = 91125\\\\r = 45[/tex]

Therefore, the radius of the hemisphere is 45 cm

The radius of the hemisphere is 45 cm

The volume of a hemisphere is given by the formula

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

Where V is the volume

and r is the radius

From the question,

V = 60750π cm³

Putting this into the formula,

We get

[tex]60750\pi = \frac{2}{3}\pi r^{3}[/tex]

∴ [tex]r^{3}= \frac{60750\pi \times 3}{2\pi}[/tex]

[tex]r^{3}= 91125[/tex]

∴ [tex]r =\sqrt[3]{91125}[/tex]

r = 45 cm

Hence, the radius of the hemisphere is 45 cm

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Simple solutions grade 7 answer key

Answers

Final answer:

The Simple Solutions Grade 7 answer key is a resource for middle school students to check their math work and learn from their mistakes.

Explanation:

The Simple Solutions Grade 7 answer key is a resource that provides answers and explanations for the Simple Solutions Mathematics program for middle school students. It is designed to help students understand and practice the math concepts they are learning in class.

This answer key can be used by students to check their work, verify their answers, and learn from any mistakes they may have made.

Using the Simple Solutions answer key can also help students track their progress and identify areas where they may need additional practice or support.

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[04/04, 13:08] Apostle ELIJAH Ben: *PROBLEM OF THE DAY*
Some birds were flying and met a bird on their way. The bird greeted them; hello hundred! They said we are not hundred, we need half of us plus you to make us hundred.
Question: How many birds were flying?
Possible answers
*A. 198*
*B. 49*
*C. 66*
*D. 51*
*E. 101*
what is the correct answer?

Answers

Answer:

66

Step-by-step explanation:

The statement can be translated to

x + x/2 + 1 = 100

Where x is the number of birds flying. Simplify this and get:

3/2 x = 99

x = 99 * 2/3 = 66

66 is the answer to the ?

help help
please please

Answers


-1/4 x 12 4/9 = 28/9

If a single 9-sided die is tossed once, find the probability of rolling a number greater than 7.
The probability of rolling a number greater than 7 is
(Simplify your answer.)

Answers

Answer:

[see explanation]

Step-by-step explanation:

There are 9 numbers on the dice. (One number for each side.)

Total Number of events: 9

There are 2 numbers that are greater than seven.  (8 and 9)

Preferred number of events: 2

[tex]\frac{preferred}{total} =\frac{2}{9}[/tex]

[tex]\frac{2}{9}[/tex]  is already at it's lowest terms.

The probability should be 2/9.

Final answer:

The probability of rolling a number greater than 7 on a 9-sided die is 2/9 or approximately 22.2%.

Explanation:

In the language of probability, an event is any outcome or combination of outcomes. The probability of any event is normally calculated by dividing the number of ways that the event can occur by the total number of outcomes. In this problem, a die with 9 sides is rolled once, giving a total of 9 possible outcomes (the numbers 1 to 9). The event in question is rolling a number greater than 7, which consists of two outcomes: 8 and 9. So, the probability of this event is

Number of ways the event can occur / Total number of outcomes = 2 / 9 = 0.222 (to three decimal places), or approximately 22.2%.

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Sydney completed 60% of the math problems assigned for homework. She
has 4 more problems to finish. How many math problems were assigned for
homework?*

Answers

Answer:

6

Step-by-step explanation

Total assignment =x

100%-60%=40%

Therefore

40%=4

40/4=10

60/10=6

6+4=10

Total assignment x=10.

The total number of math problems assigned for homework will be 10.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Sydney completed 60% of the math problems assigned for homework. She has 4 more problems to finish.

Then the number of total problems assigned is calculated as,

⇒ 4 / (1 - 0.60)

⇒ 4 / 0.40

⇒ 10

The total number of math problems assigned for homework will be 10.

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Asher built two bookends and wants to paint them. How much paint will he need to cover the surface of both bookends? 468 cm2 576 cm2 936 cm2 1,044 cm2

Answers

Asher will need c. 936 cm² of paint to cover both the bookends.

Step-by-step explanation:

Step 1:

To determine the amount of paint needed, we determine the surface area of the triangular prisms.

To calculate the triangular prism's surface area, we calculate the areas of all the 5 sides. We divide the prism into 2 triangles and 3 rectangles, find the areas individually and then sum them all up in order to determine the area of the entire triangular prism.

Step 2:

There are two triangles with base lengths of 9 cm and heights of 12 cm. A triangle's area is half the product of the base length and its height.

Area of 1 triangle = [tex]\frac{1}{2} (9)(12) = 54[/tex] cm².

Area of both triangles = 2× Area of 1 triangle [tex]= 2(54)[/tex] = 108 cm².

Step 3:

There are three rectangles with a common length of 10 cm but there are three different widths. Any rectangle's area is calculated by multiplying the rectangle's length with its width.

Area of a rectangle with width 15 cm [tex]= (10)(15) = 150[/tex] cm².

Area of a rectangle with width 9 cm [tex]= (10)(9) = 90[/tex] cm².

Area of a rectangle with width 12 cm [tex]= (10)(12) = 120[/tex] cm².

Step 4:

The area of the entire triangular prism = Area of 2 triangles + Area of all the 3 rectangles = [tex]108+150+90+120 = 468[/tex] cm².

This is the surface area of 1 bookend. As both the bookends are similar.

The surface area of 2 bookends [tex]= 2(468) = 936[/tex] cm².

Asher will need 936 cm² of paint to cover both the bookends.

Answer:

c

Step-by-step explanation:

Solve for x: 3x - 4 = 23

Answer: x =

Answers

Answer:

x = 9

Step-by-step explanation:

3x - 4= 23

3x-4+4 + 23+4

3x + 27

3x/3 + 27/3

x+ 9

The solution of expression 3x - 4 = 23 is by combining the like terms with the help of operations such as addition, subtraction, etc would be,

x = 9

Given that,

The expression is,

3x - 4 = 23

Used the concept of expression by combining the like terms with the help of operations such as addition, subtraction, etc.

Here the expression is,

3x - 4 = 23

Add 4 on both sides,

3x - 4 + 4 = 23 + 4

3x = 27

Divide by 3 on both sides,

x = 27/3

Therefore, the solution is,

x = 9

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1 meter = 10 decimeters = 100 centimeters 1 gallon = 4 quarts = 8 pints Question: Solve the following conversion problems: a) Convert 5 meters to centimeters. b) Convert 10 quarts to pints. c) Henry has 26 pints of , can he fill completely fill all four gallon milk jugs that he has? If not, how much does he still need?

Answers

Answer:

A) 5 meters to cm= 500cm

B)  10 quarts to pints= 20 pints

C) No, cause 26 pints is just 3.25 gallons so he would need 6 more pints to fill up four gallons of milk that is 36 pints makes four gallons

Step-by-step explanation:

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