Which expression is equivalent to StartFraction 4 a + 4 Over 2 a EndFraction times StartFraction a squared Over a + 1 EndFraction? StartFraction 2 (a + 1) squared Over a cubed EndFraction 6a 2a StartFraction 6 a squared Over a + 1 EndFraction

Answers

Answer 1

Answer:

C. 2a

Step-by-step explanation:

i did this because I love you- angelo (junior 11th grade) CCHS 2021

Answer 2

The expression that is equivalent to (4a + 4)/2a × a²/(a + 1) is: 2a.

What are Equivalent Expressions?

Equivalent expressions are expressions that have the same value when simplified.

Thus:

(4a + 4)/2a × a²/(a + 1)

Multiply

[(4a + 4)(a²)] / [(2a)(a + 1)]

(4a³ + 4a²) / (2a² + 2a)

2a(2a² + 2a) / 2a(a + 1)

(2a² + 2a) / (a + 1)

2a(a + 1) / (a + 1)

= 2a

Therefore, the expression that is equivalent to (4a + 4)/2a × a²/(a + 1) is: 2a.

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Related Questions

evaluate the expression for q=8.
7q

Answers

q=8

soo

7(8)=64

64 is the final answer.

Plz plz plz plzplzplzplz help me plz plz help plz plz show me plz plz thx plz

Answers

Answer: 97

Step-by-step explanation:

4,074 / 42

hope this helped

What is the value of x in the equation below? –13 –9 3 7

Answers

Answer:

7

Step-by-step explanation:

It just is

Help please...........................

Answers

i’m sorry i have no idea, i’m just trynna get 100% i’m not smart enough

Answer: n=3, hope this helps! c:

Trina and Seth walk 3 miles south and 5 miles east to get from their canoe to their tent. If a walkway existed between the canoe and tent, how far would they then haveto walk? Round to the nearest mile. (PLEASE SHOW WORK!)

Answers

Answer:

A. 6

Step-by-step explanation:

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

[tex]3^{2}[/tex]+[tex]5^{2}[/tex]=[tex]c^{2}[/tex]

[tex]3^{2}[/tex]=9

[tex]5^{2}[/tex]=25

25+9=34

[tex]\sqrt{34}[/tex]= 5.83

Round it and its 6

Which is the graph of y=2/(x+1)-6

Answers

Answer:

A on EDGE2020

The graph of the rectangular hyperbola that has the equation of the horizontal asymptote of y = -6 and the vertical asymptote of x = -1 will be drawn below.

What is the rectangular hyperbola?

The asymptotes or axes of a rectangular hyperbola are parallel to one another. The conjugate axis and transverse axes have lengths that are identical.

An asymptote is a line that constantly reaches a given curve but does not touch at an infinite distance.

The rectangular hyperbola is shifted below. Then the horizontal also gets shifted below by 6 units. Then the equation of the horizontal asymptote is given as,

y = - 6

Then the equation of the vertical asymptote is given as,

x + 1 = 0

x = - 1

The graph of the rectangular hyperbola that has the equation of the horizontal asymptote of y = -6 and the vertical asymptote of x = -1 will be drawn below.

More about the rectangular hyperbola link is given below.

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What are the solutions of x2 -7x+13 = 0 ?

Answers

Answer:

x =(7-√-3)/2=(7-i√ 3 )/2= 3.5000-0.8660i

x =(7+√-3)/2=(7+i√ 3 )/2= 3.5000+0.8660i

Step-by-step explanation:

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-7x+13

The first term is,  x2  its coefficient is  1 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  +13

Step-1 : Multiply the coefficient of the first term by the constant   1 • 13 = 13

Step-2 : Find two factors of  13  whose sum equals the coefficient of the middle term, which is   -7 .

     -13    +    -1    =    -14

     -1    +    -13    =    -14

     1    +    13    =    14

     13    +    1    =    14

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step  1  :

 x2 - 7x + 13  = 0

This may be a lot sorry it is confusing if it is wrong i'm so sorry don't come at me wrong please!

Brian invests £1300 into his bank account.

He receives 10% per year simple interest.

How much will Brian have after 3 years?

Give your answer to the nearest penny where appropriate.

Answers

Answer:

£1690

Step-by-step explanation:

Amount invested by Brian = £1300

rate of simple interest = 10%

To find money Brian will have after three years

He will have amount invested in bank and interest earned in three years from that amount.

Simple interest for any principal amount p is given by

SI = P*R * T /100

where SI  is simple interest earned

T is time period for which simple interest is earned

R is rate of interest

Substituting value of P , R and T we have

SI = 1300*10* 3 /100 = 390

Therefor interest earned will be £390

Total money with Brian after three years = principal amount invested + interest earned in 3 years

= £1300 + £390 = £1690

You roll a number cube 20 times. The number 4 is ro
probability of rolling a 4?
O 40%
O 25%
O 20%
0 17%​

Answers

It would be 40 answer A

The vertex of the parabola below is at the point (5,-3). Which of the equations
below could be the one for this parabola?
M
10-1
MC
10
(5.-3)
10
A. X = 3(y + 3)2 + 5
B. x = 3(y - 5)2 - 3
C. X= -3(y + 3)2 + 5
D. y = -3(x - 5)2-3

Answers

The vertex of a parabola is written as (h,k) so h = 5 and k = -3.

H is subtracted from x inside parentheses and k is added at the end of the equation.

The equation is also written as y =

The answer should be D.

Answer c also works, so there are two correct answers.

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=15°, and PN = 18 feet. Find the length of OP to the nearest tenth of a foot.

Answers

Answer:

4.8

Step-by-step explanation:

Which of the following shows extraneous solutions to the logarithmic equation? (See picture)

Answers

Answer:

Option 3

Step-by-step explanation:

log4(x) + log4(x - 3) = log4(-7x + 21)

log4(x² - 3x) = log4(-7x + 21)

x² - 3x = -7x + 21

x² + 4x - 21 = 0

x² + 7x - 3x - 21 = 0

x(x + 7) - 3(x + 7) =0

(x + 7)(x - 3) = 0

x = -7, 3

-7 and 3, both are e extraneous solutions because logs of non-positive numbers don't exist

At x = 3,

-7x + 21 = 0

The head-to-tail length of a species of fish is normally distributed, with a

mean of 17.4 cm and a standard deviation of 3.2 cm. One fish is 16.3 cm

long. What is the score of the length of this fish? Round your answer to two

decimal places.

A. 0.54

B. 0.34

C. -0.34

D. -0.54

Answers

Answer:

C. -0.34

Step-by-step explanation:

We have that for a normal distribution, the value of z can be calculated using the following formula:

z = (x - m) / sd

where x is the value to evaluate, m the mean and sd the standard deviation, we have those values x = 16.3, m = 17.4 and sd = 3.2

if we replace we have:

z = (16.3 - 17.4) /3.2

z = -0.3437

if we round to 2 decimal places, it would be -0.34, that is, the answer is C.

The z-score for a fish measuring 16.3 cm, with a mean length of 17.4 cm and a standard deviation of 3.2 cm, is -0.34.

The score of the length of the fish, also known as the z-score, is calculated by subtracting the mean from the observed value and then dividing by the standard deviation. Using the provided data, we have a mean (μ) of 17.4 cm and a standard deviation (σ) of 3.2 cm. The fish in question measures 16.3 cm.

To find the z-score, the calculation is as follows:

Z = (X - μ) / σ

Z = (16.3 cm - 17.4 cm) / 3.2 cm

Z = -1.1 cm / 3.2 cm

Z = -0.34 (rounded to two decimal places)

Therefore, the z-score for a fish that is 16.3 cm long is -0.34, which corresponds with answer option C.

The equation below describes a parabola. If a is negative, which way does the
parabola open?
y= ax?
A. Right
B. Left
C. Up
D. Down

Answers

A is the answer because I did this before

The parabola y= ax² opens to the left.

What is Parabola?

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

We have the parabolic equation: y= ax²

1. If 'a' is positive, the parabola will open to the right or upwards.

2. If "a" is negative, the parabola opens to the left or downward.

3. The parabola expands either upwards or downwards if x is squared.

4. The parabola opens to the left or right if y is squared.

Now, as we are given the parabola having x² and 'a' is negative.

Thus, from the points 4 and 2, we get,

The given parabola opens to the left.

Learn more about Parabola here:

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Where would 4 cups be placed on the number line

Answers

Answer:

D

Step-by-step explanation:

There are 2 cups in a pint, so 3 cups would be 1.5 pints. :)

One pint = 2 cups so 4 cups is = to two pints —the question asks where were 3 cups be placed on the number line. The answer is D

Simplify 4^5/4^3 and show steps

Answers

Answer:

16

Step-by-step explanation:

4^5/4^3

4^5-3

4^2

16

Hope this helps :)

a concrete pillar has the shape of a cylinder. it has a diameter of 6 meters and a height of 7 meters. concrete cost $116 per cubic meter how much did the concrete cost for the pillar

Answers

Answer:

The cost of the pillar is $22,947.12

Step-by-step explanation:

Diameter of the pillar = 6m

Radius = diameter / 2 = 6 / 2 = 3m

Height if the pillar = 7m

Volume of the pillar = πr²h

π = 3.14

V = 3.14 × 3² × 7

V = 3.14 × 9 × 7

V = 197.82m³

Volume of the pillar is 197.82m³

If 1m³ = $116

197.82m³ will cost $x

X = (197.82 × 116) / 1

X = $22,947.12

The cost of the pillar is $22,947.12

A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,
in feet after t seconds is given by the function h=-167 + 120t + 10. How long does it take to
reach maximum height? What is the boulder's maximum height? Round to the nearest
hundredth, if necessary.
a. Reaches a maximum height of 235.00 feet in 3.75 seconds.
b. Reaches a maximum height of 10.00 feet in 7.50 seconds.
c. Reaches a maximum height of 7.58 feet in 3.75 seconds.
d. Reaches a maximum height of 15.16 feet in 7.5 seconds.

Answers

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h,  in feet after t seconds is given by the function is given by :

[tex]h=-16t^2+120t+10[/tex] .....(1)

For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

i.e.

[tex]\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s[/tex]

Put t = 3.75 in equation (1). So,

[tex]h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}[/tex]

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

A photo is printed on a 20-inch by 24-inch piece of paper. The photo covers 320 square inches and has a ubiform border. What is the width of
the border?

Answers

Answer:2 in.

Step-by-step explanation:

Given

Dimension of photo frame is [tex]20\ in.\times 24\ in.[/tex]

If the photo cover an area of [tex]320\ in.^2[/tex]

Suppose x be the width of border

Therefore dimension of frame without border is

[tex]A'=(20-2x)(24-2x)[/tex]

And [tex]A'[/tex] must be equal to [tex]320\ in.^2[/tex]

So,

[tex]\Rightarrow (20-2x)(24-2x)=320[/tex]

[tex]\Rightarrow (10-x)(12-x)=80[/tex]

[tex]\Rightarrow 120-10x-12x+x^2=80[/tex]

[tex]\Rightarrow x^2-22x+40=0[/tex]

[tex]\Rightarrow x^2-20x-2x+40=0[/tex]

[tex]\Rightarrow (x-2)(x-20)=0[/tex]

Thus there are two values of x out of which [tex]x=20\ in.[/tex] is not valid because it is not feasible

thus width of border is [tex]x=2\ in.[/tex]

Find m<_6 if m<_8 = 119 degrees.

Answers

Angle 6 and angle 8 are corresponding angles, because they are in the same position, but on different parallel lines. Corresponding angles are congruent. So, if the measure of angle 8 is 119 degrees, then the measure of angle 6 is 119 degrees.

Hope this helps! :)

the radius of a circle is 5 inches what is the area of a sector biunded by 180 degrees arc

Answers

Final answer:

The area of a sector with a radius of 5 inches and a 180-degree arc is half the area of the full circle, resulting in 39.27 square inches when rounded.

Explanation:

The area of a sector of a circle with radius 5 inches that is bounded by a 180-degree arc can be found by first calculating the area of the entire circle and then taking half of that area, since 180 degrees is half of the full 360 degrees of a circle. The formula to calculate the area of a circle is A = πr². For a radius (r) of 5 inches, the entire circle's area would be A = π(5 inches)².

Thus, the entire circle area is A = 3.1415927 × (5 inches)² = 78.53981633974483 square inches. Since the sector is half of the circle, the area of the sector would be 39.269908169872415 square inches, or when rounded to two decimal places, 39.27 square inches.

A game room has a floor that is 120 feet by 75 feet. A scale drawing of the floor on grid paper uses a scale of 1 cm: 5 feet.

What are the dimensions of the scale drawing?

Answers

Answer:

24cm x 15cm

Step-by-step explanation:

120/5 = 24 cm

as 24 cm x 5 = 120 feet.

We check 75 feet

75/5 = 15 cm

as 15 cm x 5 = 75 feet

So the answer is 24cm x 15cm

Triangle ABC is rotated clockwise to create triangle A'B'C'. What is the angle of rotation?

Now

BA 1

5

4 3

2

1

1 2

3

4

5

Answers

Answer: 90 degrees

Step-by-step explanation:

The angle of rotation is 90° clockwise rotation

How to determine the angle of rotation?

The coordinates are given as:

A(-2, -2) to A'(-2, 2)

Remove the points

(-2, -2) to (-2, 2)

Replace the coordinates with x and y

(x, y) to (y, -x)

The above represents a 90° clockwise rotation

Hence, the angle of rotation is 90° clockwise rotation

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-5x+2=22
A. 96
B. 6
C. 4
D. -4
O need the answer​

Answers

Start by subtracting 2. You end up with -5x=20. Because the five is negative, the second number must be negative, because two negatives always make a positive in multiplication. Pick the only negative answer, which is D, -4
It’ll be D. -4.
Subtract the 2 from both sides
-5x=20

then divide -5 on both sides and you’ll get -4

The front face of a cube has side lengths of 15 feet. It is related to the face of a larger cube by a scale factor of 1.8. What are the side lengths of the larger cube?

Answers

qwetyi372183921=93==ews[a98

oh carp sorry my cat hates meh

i only know how to edit how do i delete answers this

isnt

what i wanna dooooooooo

sorry

Janice has car insurance that she must pay four times a year. If each payment is $156, how much money should she set aside each month to
cover her car insurance?
OA $13
OB. $26
oc $39
OD. $52

Answers

Answer:

C

i hope this helped you

Answer:

D

Step-by-step explanation:

cause if you pay 4 times a year that means you set money aside every three months  which means that  you set 52 dollars every month

Sam volunteers at an animal shelter. He created a line plot to show the weights in pounds of the kittens at the
shelter
Weights of Kittens in Shelter

Pounds
What is the total weight of the kittens in the shelter? Enter your answer in the box
pounds

Answers

Answer:

5 pounds

Step-by-step explanation:

The line plot shows that we have 3 kittens with 1/2 pounds, 2 kittens with 1 pound and 1 kitten with 1 1/2 pound.

So, to find the total weight of the kittens in the shelter, we can multiply the number of kittens by their weights, and then sum then all:

Total weight = 3 * (1/2) + 2 * 1 + 1 * (1 + 1/2)

Total weight = 3/2 + 2 + 3/2 = (3 + 4 + 3)/2 = 10/2 = 5 pounds

|BRAINLIEST|
Divide.

1/8 ÷ 9

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


Answers

Answer:

1/72

Step-by-step explanation:

Answer:

1/72

Step-by-step explanation:

1/8 divided by 9 = 1/8 times 1/9.

We have ti flip 9/1 so we get 1/9

You multiply 9 by 8 you get 72

so the answer is 1/72

IM TAKING AN EXAM AND I NEED SO MUCH HELP!!

Show how to find the inverse of f(x) = x^3 - 5. Calculate 3 points on f(x) and use these points to show that the inverse is correct.

Answers

Answer:

[tex]f^{-1}(x) = \sqrt[3]{x+5}[/tex]

Step-by-step explanation:

A function [tex]f^{-1}[/tex] is the inverse of f if whenever y =f(x) and [tex]x =f^{-1}[/tex]

To find the  inverse of f(x) = [tex]x^{3}[/tex] - 5, we use the following steps:

Step 1 : Put y for f(x) and solve for x

y = [tex]x^{3}[/tex] - 5

<=> [tex]x^{3}[/tex]  = y + 5

<=> x = [tex]\sqrt[3]{y+ 5}[/tex]

Step 2: Put [tex]f^{-1}(y)[/tex] for x, we have:

[tex]f^{-1}(y) =\sqrt[3]{y+5}[/tex]

Step 3: Interchange y =x, we have

[tex]f^{-1}(x) = \sqrt[3]{x+5}[/tex]

Let Calculate 3 points on f(x)

x = 0 => y = -5

x = 1  => y = -4

x = 2 => y = 3

Let Calculate 3 points on [tex]f^{-1}[/tex] (x)

x = -5 => y = 0

x = -4  => y = 1

x = 3 => y = 2

Yes, the inverse is correct because:

the domain of the inverse function is the range of the original function the range of the inverse function is the domain of the original function

A lawn darts team has choice of hitting a short field bonus throw or long zone bonus.
1 point is for the short field hit and getting the ball in the long zone is worth 2 points.
The coach tracked the statistics of using attempt strategies.
Short Field (1 point) = 85.8% Long Field (2 points) = 64.2%
If the team gets 10 chances to score this season, which strategy would result in statistically the most points?
Question 1 options:
Short Field
Long Field

Answers

Answer: i believe it is short field

Answer:

B. Long Field

Step-by-step explanation:

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