Let m=x^2-5m=x 2 −5m, equals, x, squared, minus, 5. Which equation is equivalent to (x^2-5)^2-3x^2+15=-2(x 2 −5) 2 −3x 2 +15=−2left parenthesis, x, squared, minus, 5, right parenthesis, squared, minus, 3, x, squared, plus, 15, equals, minus, 2 in terms of m ?

Answers

Answer 1

Answer:

[tex]m^2-3m=-2[/tex][tex]m^2-3m+2=0[/tex]

Step-by-step explanation:

Let [tex]m=x^2-5[/tex]

We want to express the equation [tex](x^2-5)^2-3x^2+15=-2[/tex] in terms of m.

Given: [tex](x^2-5)^2-3x^2+15=-2[/tex]

Factorizing the third and fourth term, we obtain:

[tex](x^2-5)^2-3(x^2-5)=-2[/tex]

Substituting  [tex]m=x^2-5[/tex], the above equation becomes:

[tex]m^2-3m=-2[/tex]

Since the options are not given, the equivalent equation is:

[tex]m^2-3m=-2[/tex]

It could also be written in a rearranged form as:

[tex]m^2-3m+2=0[/tex]


Related Questions

how do you find volume on cylinder with radius and height

Answers

Answer:

V = pi r^2 h

Step-by-step explanation:

The formula for the volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

Answer:

pi × r² × h

Step-by-step explanation:

Formulae for volume of a cylinder is:

V = pi × r² × h

Where,

r is the radius

h is the height

For pi, either use the value on the calculator or an approximate value of 3.14

PLEASE HELP ME! Awarding brainliest!!

Pythagorean theorem.

Answers

Answer:

116.6

Step-by-step explanation:

100^2 + 60^2 = c^2

1360 = c^2

square root of 1360 is 116.6

Answer:

Shortcut = 116.62

Step-by-step explanation:

Hypotenuse = [tex]\sqrt{a^{2} +b^{2} } = \sqrt{60^{2} +100^{2} } = 116.61904 = 116.62[/tex]

PLEASE ANSWER ASAP will give beau ly

Answers

Answer: 23

Hope this helps :D

Answer:

h=39+16t

Step-by-step explanation:

Simplifying

h(t) = 16t2 + 39t

Multiply h * t

ht = 16t2 + 39t

Reorder the terms:

ht = 39t + 16t2

Solving

ht = 39t + 16t2

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Divide each side by 't'.

h = 39 + 16t

Simplifying

h = 39 + 16t

Which equation could be used to find the length of the hypotenuse?

Answers

Answer:

A

Step-by-step explanation:

Answer:

6^2+11^2 = c^2

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2+11^2 = c^2

Given parallelogram ABCD, m\angle A=5x+18 and m\angle B=3x-6 find find m\ C

Answers

Answer:

57

Step-by-step explanation:

Firstly, we will need to calculate what x is.

To calculate this, the important property of the parallelogram to use is that adjacent angles are supplementary.

This means A and B are supplementary while B and C are also supplementary

what we are trying to say is that they add up to be 180

Thus,

5x + 18 + 3x -6 = 180

8x +12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21

Thus, the measure of angle B is 3x-6 = 3(21) -6 = 63-6 = 57

Now, another important property of parallelograms is that opposite angles are equal. This means that angle B= C = 57

what is the square root of 3.375​

Answers

Answer: 1.83712

Step-by-step explanation:

Answer:

[tex]\sqrt{3.375}[/tex] = ~1.837

Please Find the surface area of the sphere. Round your answer to the nearest hundredth.

Answers

The first thing I did was to be a part of the world and the other is a great way to get the best out of the way and I have to say that I am not a fan of the most important things to do in the future and the other is a great way to get the best out of the way and I have to say that I am

Hey can anyone pls pls help me in dis math problem real quick!!!!!!

Answers

Answer:

1. 10.64

2. 6.45

Step-by-step explanation:

Hope this helps and can u mark me brainliest?

If one factor of x2 + 2x - 24 is (x+6), what is the other factor?
eOf
(x+8)
(x-8)
(x+4)
(x-4)

Answers

Answer:

(x - 4)

Step-by-step explanation:

Given

x² + 2x - 24

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)

The factors are + 6 and - 4, since

6 × - 4 = - 24 and 6 - 4 = + 2, thus

x² + 2x - 24 = (x + 6)(x - 4) ← in factored form

Thus the other factor is (x - 4)

The solution is Option D.

The equation x² + 2x - 24 = 0 has the factors as ( x + 6 ) and ( x - 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x² + 2x - 24 = 0   equation (1)

The equation can be factorized as

x² + 6x - 4x - 24 = 0

Taking x as the common factor , we get

x ( x + 6 ) - 4 ( x + 6 ) = 0

So , the equation will be

( x + 6 ) ( x - 4 ) = 0

Therefore , the factors of x are -6 and 4

Hence , the factors of the equations are ( x + 6 ) and ( x - 4 )

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Sophie has to choose seven different positive (non zero) whole numbers whose mean is 7.

What is the largest possible number that she could choose as one of the seven numbers?

The largest possible number that she could choose as one of the seven numbers is _ _ because

Answers

Answer:

The largest possible number is 28.

Step-by-step explanation:

Sophie has to choose seven different numbers whose mean is 7, this means that the sum of the numbers is 49. (since the mean is the sum of them all divided by 7 and if we want the mean to be 7, then the sum would need to be 49).

We are asked what is the largest possible number she could choose, so therefore, the other six numbers should be non-zero and the smallest ones so she would have to choose the numbers from 1 to 6 first.

Let's see how much they sum up: [tex]1+2+3+4+5+6=21[/tex]

So now, she needs one more number to sum up to 21 and that will give her 49 in total, this number is 28 (since 28 + 21 =49).

Thus, 28 is the largest number she could choose because if she chose any other greater number the mean would be bigger than 49.

Graph the inequality of y less than or equal to2x + 2?

Answers

First you graph "y = 2x +2." You shade in the region below it, because it's y "LESS THAN" and you keep the line solid (not dotted) because it's "equal to" 2x+2 too.

Simplify the complex fraction.
Alw
2 3/4 1 1/8

Answers

Answer:

= 99/32

Step-by-step explanation:

2 3/4 1 1/8

= 11/4 * 9/8

= 99/32

How many significant digits are there in the number 0.0001001? A. 4 B. 6 C. 8 D. 10

Answers

Answer:

A. 4

Step-by-step explanation:

leading zeros not included and the sig figs start from the first 1 so 4 sig figs

Answer:

4

Step-by-step explanation:

what is the amount paid or charged for something.

Answers

Answer:

cost

Step-by-step explanation:

Answer:

It is the cost

Step-by-step explanation:

Which inequality represents the
graph below?

Answers

Answer:

The first choice is correct

Answer:

A which is the top left answer

Step-by-step explanation:

Can someone Help me with this

Answers

Answer:

33.165

Step-by-step explanation:

Answer:

33.165

Step-by-step explanation:

4.95*6.7= 33.165

hope this helps

Deposits into a bank account are represented by numbers. Withdrawals from the account are represented by negative numbers. Which amount represents a withdrawal of less than $ 200?

Answers

Answer:

The answer is (-$200) to the left

Step-by-step explanation:

Solution

It is assumed that when a number is positive,  it is a distance to the right, also when a number is negative, it is a distance to the left. If a positive number is referred to as  deposit to a bank account, then a negative number is a withdrawal from that bank account.

So, If a positive number means addition, then a negative number would also mean subtraction.

The amount that represents a withdrawal of less than $200 would be (-$200)

Claire owns a local bakery and sells boxes of muffins. Each box contains 6 muffins. If she sells 7 boxes of muffins by closing time on Thursday, how many muffins did she make to fill all the boxes that she sold?

42
0.9
1
13

Answers

Answer: Claire made 42 muffins by closing time

Step-by-step explanation:

Pretty simple math just multiply 6 muffins by 7 boxes and you get your answer.

Please help!

a The v-intercept in the year 2010 is less than the y-intercept in the year 2015.
b The v-intercept indicates that the value of the statue was $19,000 in they year 2010.
c The v-intercept indicates that the value of the statue increased by 12% in one year.
d The v-intercept is 112% greater than the value of the statue in 2010.

Answers

A. The v-intercept in the year 2010 is less than the y-intercept in the year 2015

An orange is shot up into the air with a catapult. The function h given by h(t)=15+60t-16t^2 models the orange’s height, in feet, t seconds after it was launched select all the true statements about the situation.

Answers

Complete question is:An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16t² models the orange’s height, in feet, t seconds after it was launched.

Select all the true statements about the situation.

Options:

1. The domain of function h only contains values greater than or equal to 0.

2. The orange is at the same height 1 second after launch and 2 seconds after launch.

3. After 3 seconds, the orange has hit the ground.

4. The orange is 15 feet above the ground when it is launched.

5. The value t = 10 does not belong to the domain of h.

Answer:

Option 1 - True

Option 2 - False

Option 3 - False

Option 4 - True

Option 5 - True

Step-by-step explanation:

Looking at the options,

-The domain is the x or t value and it is time. Now, time can only be positive or greater than or equal to zero i.e. t ≥ 0. Thus, option 1 is true.

- At t = 1 second;

h = 15 + 60(1) - 16(1)²

h = 15 + 60 - 16 = 59 ft

Also, at t = 2 seconds;

h = 15 + 60(2) - 16(2)²

h = 15 + 120 - 64 = 71 ft

So,value of h is not the same at t = 1 and t = 2. Thus, option 2 is not true.

- The orange will hit the ground when h(t) = 0.

However, at t = 3;

h(t) = 15 + 60(3) - 16(3)²

h(t) = 51 ft

h(t) is not equal to zero at t = 3, so option 3 is false

- when the orange is launched it is at time t = 0.

Thus,

h(0) = 15 + 60(0) - 16(0)²

h(0) = 15 ft

So option 4 is true.

- At t=10, h(t) = 15 + 60(10) - 16(10)²

h(10) = -985

This means the orange would be below ground level and thus doesn't belong to the domain of h, so option 5 is true.

Answer:

1 true 4 true and 5 true the rest are false

Step-by-step explanation:

Which property can be used to solve the equation? 5 d = 75 addition property of equality subtraction property of equality multiplication property of equality division property of equality please answer fast

Answers

Answer:

Multiplication Property of Equality

Step-by-step explanation:

Answer:

Division Property of Equality..

Step-by-step explanation:

Find the sum of the first 15 terms: {12, 36, 108, . . . }.


Answers

Answer:

Step-by-step explanation:

hello : here is an solution

Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am, how many words will she speak?

Answers

Answer:

10125

from 10:30 to 11:15 is 45 mins so 225*45=10125

If Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am then she can talk 2025 words.

What is Equation?

Two or more expressions with an equal sign is called as equation

Given that,

Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am, we need to find number of words she can talk 10:30 am to 11:15 am.

We know that in 1 hour we have 60 minutes.

From 10:30 am to 11:15 am we have 45 minutes.

Now we can formulate an equation

225/5=x/45

Apply cross multiplication

225×45=5x

10125=5x

Divide both sides by 5.

x=2025.

Hence 2025 words she can talk from 10:30am to 11:15am.

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Lightning strikes Earth 1000 times in 10 seconds. a. How many times does lightning strike in 12 seconds? Lightning strikes times in 12 seconds. Question 2 b. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.

Answers

Answer:

1000/10x12= answer

Step-by-step explanation:

Part A:

Divide the number of lightning strikes to the number of seconds to find the average rate.

1000 / 10 = 100 strikes per second

Now, multiply by 12 to find the number of strikes that occurred.

100 * 12 = 1200 strikes in 12 seconds

Part B:

Divide the number of seconds to the number of lightning strikes to find the average rate.

10 / 1000 = 0.1 seconds per strike

Now, multiply by 7250 to find the number of seconds that passed.

0.1 * 7250 = 72.5 seconds in 7250 strikes

Best of Luck!

What is the area of the circle with a D equals 10

Answers

Answer:

A =78.5

Step-by-step explanation:

We need the radius to find the area of a circle

r = d/2 = 10/2 =5

The area of a circle is given by

A = pi r^2

A = 3.14 (5)^2

A =3.14 (25)

A =78.5

Garry is studying a square pyramid and wants to draw a net of the figure
to help determine its surface area. Which net represents a square pyramid?

Answers

Answer:

On this picture, it is b, but for edge, it is c

Step-by-step explanation:

Answer:

c but b in the pic

Step-by-step explanation:

SC Bookmarks
3-2: MathXL for School: Practice & Problem Solving
3.2.PS-8
Find the value of x when 6 - 2x = 5x - 9x + 10.
The value of x is

Answers

Answer:

Step-by-step explanation:

6 - 2x = 5x - 9x + 10  {add the like terms}

6 - 2x = - 4x + 10        {add (-6) to both side}

6 - 2x - 6 = - 4x + 10 - 6

-2x = - 4x + 4         {add 4x to both sides}

-2x + 4x = -4x + 4 + 4x

2x = 4           {divide both sides by 2}

2x/2x = 4/2

x = 2

For this question, we are concerned with the movement of an object
along a path in the plane. We are assuming that the plane is a
coordinate plane and the object starts at the point. As the object
moves along the path, each point on that path has two coordinates.
The coordinates depend on the distance traveled along the path. Let
us call this distance S, the length of the path from the origin to a point
P on the path.
What value of s yields the coordinate (3, 4)?
What value of s yields the coordinate (9, 1)?
x (6) =
y (7) =

Answers

Answer:

We have to questions here where we need to find the distance from the origin to each given point.

For (3,4).

The formula for distance is

[tex]s=\sqrt{x^{2}+y^{2} }[/tex]

[tex]s_{(3,4)}=\sqrt{3^{2}+4^{2} } =\sqrt{9+16}=\sqrt{25}\\ s_{(3,4)}=5[/tex]

Therefore, the value s that yields the coordinate (3,4) is 5 units.

For (9,1).

[tex]s_{(9,1)}=\sqrt{9^{2}+1^{2} } =\sqrt{81+1}=\sqrt{82}\\ s_{(9,1)} \approx 9.05[/tex]

Therefore, the value s that yields the coordinate (9,1) is 9.05 units, approximately.

The values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively

The coordinates are given as:

(3,4) and (9,1)

The single value that yields the coordinates is calculated as:

[tex]s = \sqrt{x^2 + y^2}[/tex]

For (3,4), we have:

[tex]s = \sqrt{3^2 + 4^2} = 4[/tex]

For (9,1), we have:

[tex]s = \sqrt{9^2 + 1^2} = 9.1[/tex]

Hence, the values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively

Read more about coordinates at:

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What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?





Answers

To find the y intercept you substitute 0 for x.

f(x)=(0)^2+3(0)+5
f(x)=5

So your y intercept

Is y=5 or (0,5)

Answer:

(0, 5)

Step-by-step explanation:

To solve for the y-intercept, plug in 0 for all x values and solve.

Find the height of a cylinder with a volume of 30 ins and a radius of 1 in.


9.5 cm

10 cm

8.5 cm

Answers

Answer:

The height of this cylinder = 9.55 ins

Step-by-step explanation:

Volume cylinder = pi * r² * h = 30 ins

r=1

pi * r² * h = 30

pi * 1² * h = 30 ins

h = 30/pi

h = 9.55 ins

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