Let m=6x+5m=6x+5m, equals, 6, x, plus, 5.



Which equation is equivalent to (6x+5)^2-10=-18x-15(6x+5)



2



−10=−18x−15left parenthesis, 6, x, plus, 5, right parenthesis, squared, minus, 10, equals, minus, 18, x, minus, 15 in terms of mmm ?

Answers

Answer 1

We have been given that [tex]m=6x+5[/tex]. We are asked to rewrite the equation [tex](6x+5)^2-10=-18x-15[/tex] in terms of m.

First of all, we need manipulate right side of our given equation.

We will factor out -3 from right side of equation as:

[tex](6x+5)^2-10=-3(6x+5)[/tex]

Upon substituting [tex]m=6x+5[/tex] in our equation, we will get:

[tex](m)^2-10=-3(m)[/tex]

[tex]m^2-10=-3m[/tex]

Upon writing this equation in general form of equation, we will get:

[tex]m^2+3m-10=-3m+3m[/tex]

[tex]m^2+3m-10=0[/tex]

Therefore, the equation [tex]m^2+3m-10=0[/tex] is equivalent to our given equation.


Related Questions

A culture is started with 50,000 bacteria. The table shows the number of bacteria remaining after an antibiotic is added.


Based on the data, which is closest to the number of bacteria at the end of 10 hours?

A) 6,000

B) 9,000

C) 12,000

D) 15,000

Answers

I think the answer is B.
I believe the answer is B. 9,000

What is the length of BC?
Helppp​

Answers

Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Actually, when you look at it, it' very simple.

So as you kno triangles always = 180

That makes this way easier when you think about it

Let's add the angels together

90+45= 135

Now we need to find the value of the missing angle

180-135= 45

So 45 is the missing angle

Since m∠C≈m∠B he side length (AB) is also 8

Now we can find the length of the hypotenuse

[tex]\sqrt{a^2 +b^2}[/tex]

a and b are the side lengths so just plug them in

[tex]\sqrt{8^2 + 8^2}[/tex]

Now you solve

Exact Form: 8[tex]\sqrt{2}[/tex]

Decimal Form: 11.31

What is the mean of the data set?
17, 24, 26, 13


Pls I need this fast

Answers

So the right answer is 20.

Look at the attached picture

Hope it will help u...

Answer:

20 is the answer

Step-by-step explanation:

17+24+26+13=80

80 divided by how many numbers are in the data set so, 80 divided by 4 is 20.

    Hoped this works!

The coordinates of the vertices of parallelogram CDEH are C(-5, 5), D(2, 5), E(-1, -1) and H(-8, -1). What are the coordinates of P, the point of intersection of diagonal CE and DH?

Answers

Answer:(-3,2)

Step-by-step explanation:

The coordinates of the intersection point P of the diagonal CE and DH is  (-3,2)

What is Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

What is Vertices of Parallelogram?

The vertices of the parallelogram are the corners of a polygon or the point where any two sides of the parallelogram meet

Given,

Vertices of the parallelogram CDEH= C(-5,5), D(2,5), E(-1,-1) and H(-8,-1)

Parallelogram diagonals are CE and DH

Since the diagonals of the parallelogram bisects each other, mid point of the CE and DH will be the intersecting point of diagonals

Using the mid point theorem,

Mid point of CE is,

C(-5,5) and E(-1,-1)

x= [tex]\frac{-5-1}{2}=-3[/tex]

y = [tex]\frac{5-1}{2}=2[/tex]

Mid point of the CE is (-3,2)

Hence, the coordinates of the intersection point P of the diagonal CE and DH is  (-3,2)

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Bella has joined a new gym in town. The cost of membership is $25 per month. The after-hours policy at the gym allows her to work out late at night for an extra fee of $4 per visit. If Bella's first monthly bill totaled $53, which equation can be used to determine how many times Bella worked out after hours?

Answers

Answer:

25+4x=53 is the equation you would need to determine how many times she went after hours.

Step-by-step explanation:

if you also need to know how many times she went after hours. she went 7 times so x=7

please give brainliest if this helps

Bob's Bakery makes 12 cakes and 36 muffins each hour.
Part A: Create a table to show how many caked and muffins in ll the bakery has made after each hour. Use the rules "add 12" and " add 36"
Part B: Michael says. "The total number of muffins made is ALWAYS 24 more than the total number of cakes made. " Do you agree?
Part C: Michael wants to graph this information. What ordered pair represents the total number of each item make after 6 hours.

Answers

Answer:

c

Step-by-step explanation:

HELP ASAP!! ILL MARK YOU BRAINLIEST IF CORRECT :)

Answers

Answer:

compounded quaterly

Step-by-step explanation:

hope this helps

plzz mark me brainliest

Answer:

Let's say:

AM = current amount of money = 3000

APR = interest rate  = 2.25

n = number of compounding periods

t = 5 years

Final amount of money:

FAM = AM x [1 + 2.25/n]^(n x 5) = 3000 x [1 + 2.25/n]^(n x 5)

Annual Compounding: FAM = 3000 x (1 + (2.25% / 1))^(1 x 5) = 3353.03

Quarterly Compounding: FAM = 3000 x (1 + (2.25% / 4))^(4 x 5) = 3356.16

Monthly Compounding: FAM = 3000 x (1 + (2.25% / 12))^(12 x 5) = 3356.86

Continuous Compounding: FAM = 3000 x 2.7183^(2.25% x 5) = 3357.22

=>Continuous Compounding gives largest benefit.

=> Option C is correct

Hope this helps!

:)

What ordered pair is a solution to this system of equations?

x = -1

y = 2x + 5


Group of answer choices

(3, 1)


(-1, 3)


(-1, 8)


(8, -1)

Answers

(-1,3)

you plug -1 into the equation y=2x+5 for x since that is what x is equal to and then solve it so y= -3 then your coordinates would be (1,-3)

(-1,3)
Explanation: If x= -1 and y=2x+5 you would need to do 2(-1)+5
2(-1)+5
-2+5
3
y=3

(-1,3)

Last softball season, Jenny hit 32% of the times she was at bat. If she had 80 hits, how many times was she at bat?

Answers

I think the answer is 26 because you have to take 32% of 80.

-Dhruva;)

Jenny was at bat 250 times.

What is the percentage?

The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition, the sign "%" is used to indicate that a number is a percentage. In stores, online, in commercials, and in the media, percentages are nearly always present. A crucial talent that may help you save time and money and raise your employability is the ability to comprehend what percentages represent.

Given jenny hit 32% of the time when she was at bat and also she had 80 hits. let's assume she had a total of x hits. so 32% of x will be equal to 80.

From that,

32% x = 80

32*x = 80 * 100

x = 250

Hence, Last season ball jenny was at bat 250 times.

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Pls help!
What is the surface area of the pyramid_____ units2

Answers

Answer:95units2

Step-by-step explanation:

1/2x7x5+5x5=95

Please Help! I don't know how to do this!

(3x^2+7x-4)-(6x^2-6x+1)

Answers

Answer:

-3x^2+13x-5

Step-by-step explanation:

you're basically just combining the like terms

3x^2+7x-4-6x^2+6x-1

-3x^2=13x-4-1

-3x^2+13x-5

Answer: -3^2+13x-5

Step-by-step explanation:

Remove parentheses.

3x^2+7x -4 - 6x^2 +6x -1

Collect like terms.

(3x^2-6x^2) + ( 7x + 6x) + ( -4 -1)

Simplify

-3^2+13x-5

- The Blast Off Music Company makes CDs and DVDs. The company can make a total of 500 CDs and DVDS
each day. It costs $8 to make each CD and $10 to make each DVD. The company can spend $4800 for
production costs each day. How many individual CDs and DVDs can The Blast Off Music Company make in
one day?

Answers

Let C represent number of CDs and D represent number of DVDs.

We have been that The Blast Off Music Company can make a total of 500 CDs and DVDs each day. We can represent this information in an equation as:

[tex]C+D=500...(1)[/tex]

[tex]C=500-D...(1)[/tex]

We are also told that it costs $8 to make each CD, so cost of C, CDs would be [tex]8C[/tex].

It costs $10 to make each DVD, so cost of D, DVDs would be [tex]10D[/tex].

We have been given that the company can spend $4800 for  production costs each day. This means that cost of C CDs and D DVDs will be equal to 4800. We can represent this information in an equation as:

[tex]8C+10D=4800...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]8(500-D)+10D=4800[/tex]

[tex]4000-8D+10D=4800[/tex]

[tex]4000+2D=4800[/tex]

[tex]4000-4000+2D=4800-4000[/tex]

[tex]2D=800[/tex]

[tex]\frac{2D}{2}=\frac{800}{2}[/tex]

[tex]D=400[/tex]

Therefore, the company can make 400 DVDs in one day.

Upon substituting [tex]D=400[/tex] in equation (1), we will get:

[tex]C=500-D \Rightarrow 500-400=100[/tex]

Therefore, the company can make 100 CDs in one day.

A snail travels 1÷5♡
of an inch in an hour.
How long will it take to travel 5 inches?
[tex] \frac{1}{?5} [/tex]

Answers

The answer is 5/25 because you would multiply the numerator and denominator of the equation by 5.

Solve the inequality

16 (1/4x -1/2)>24 - 2х

А. x> 6
в. x> -6
с. x> 16/3
d. х> -10/3

Answers

Answer:

Step-by-step explanation:

hello :

here is an solution :

A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature. A number line going from negative 2 to positive 2. Which numbers are solutions of the inequality? Choose all that apply. –2 0 1 –10 –3 –1

Answers

For the inequality t < -1, the numbers that are solutions to this inequality are -2, -3, and -10, as they are all less than -1.\

The inequality in question is t < -1, which indicates that the temperature (t) is colder than -1 degrees Fahrenheit. On a number line from -2 to +2, the numbers that satisfy this inequality would be all the numbers that are less than -1. Therefore, the solutions to the inequality would be the numbers that are to the left of -1 on the number line.

-2

-3

-10

The numbers 0, 1, and -1 do not satisfy the inequality because they are not less than -1.

A path through the middle of a circular garden is 14 feet long. [a] What is the distance around the outside of this garden? [b] What is the area of the garden? Use 3.14 for π.

Answers

Answer:

a. 43.96 feet

b.153.86 square feet

Step-by-step explanation:

Hi, the path through the middle of the circular garden is the diameter.

Since the diameter is equal to:

Diameter = 2 radius (r)

Solving for r

14 =2r

14/2 = r

r = 7 feet

The distance around the outside of this garden is the perimeter.

Perimeter of a circle (P) = 2 π r

Replacing with the values given:

P = 2 (3.14) 7 = 43.96 feet

b. area of the circle-

Area of a circle (A)= π r²

Replacing with the values given:

A = 3.14 (7²) =153.86 square feet

what is y+2=3/2(x+6) in standard form

Answers

your answer for this question would be y= 3/2x+7

It may be wrong :(

but i hope it helps

I need help finding the factor!
please

Answers

Answer:

(x-8) (x-4)

Step-by-step explanation:

x^2 -12x +32

What two numbers multiply to 32 and add to -12

-8*-4 = 32

-8-4 = -12

(x-8) (x-4)

Answer:

(x - 4)

Step-by-step explanation:

x² - 12x + 32

x² - 8x - 4x + 32

x(x - 8) - 4(x - 8)

(x - 8)(x - 4)

Look at attachment for question

Answers

Answer:

Answer choice C

Step-by-step explanation:

Since a rectangle has two dimensions and both side lengths of rectangle B are 4 times smaller, the area is 4*4=16 times smaller. 2592/16=162 square units, or answer choice C. Hope this helps!

Find the area of the shape shown below.
4 10 20

Answers

Answer:you cant find the area with the numbers the problem wouldn't do that but the perimater is (34)

Step-by-step explanation:

Answer:

240 units2

Step-by-step explanation:

10*20=200 + 10*4= 40

 =240

Look at this inequality.


−0.2x+1.2<1.1

Answers

To solve the inequality -0.2x+1.2<1.1, we subtract 1.2 from both sides and then divide by -0.2, which flips the inequality, resulting in x > 0.5.

To solve the inequality [tex]\frac{1.2}{-0.2x+1.2} < 1.1[/tex], we can follow a step-by-step process. First, we isolate the variable on one side. We'll subtract 1.2 from both sides of the inequality:

-0.2x+1.2-1.2 < 1.1-1.2

-0.2x < -0.1

Then we divide both sides by -0.2, remembering that dividing by a negative number will flip the inequality sign:

[tex]x > \frac{0.1}{0.2}[/tex]

x > 0.5

This means that for the inequality to hold true, x must be greater than 0.5. It's also important to note that by understanding the properties of inequalities and the operations performed on them, we can easily solve these mathematical statements.

A bakery sells giant cookies, sheet cakes and 3-tiered cakes. The time required for each step is given in the matrix below​

Answers

Answer:

answer is sheet cake aka B on edge

Step-by-step explanation:

If f(x) = 3x + 7, find:
f(3) = [ ? ]

Answers

Answer:

f(3) =16

Step-by-step explanation:

f(x) = 3x + 7

Let x= 3

f(3) = 3*3 +7

     = 9+7

      = 16

Answer: 16

Step-by-step explanation: f(x) = 3x + 7 means that if we put an x into our function, a 3x + 7 comes out.

So if we want to find f(3), we're putting a 3 into our function which means that a 3(3) + 7 comes out which simplifies to 9 + 7 or 16.

So f(3) = 16 or the value of the function at 3 equals 16.

Which triangle is a translation of triangle P? On a coordinate plane, triangle P is shifted 5 units to the right and 7 units up to form triangle C. triangle A triangle B triangle C

Answers

Answer:

Triangle C

Step-by-step explanation:

Got it right on edge test

Answer:

c

Step-by-step explanation:


If 5x² + 7x = 6, which statement is correct?
A)
X= 2 or x= 3/5
x = -2 or x= 3/5
x = 2 or x =-3/5
x = -2 or x = -3/5

Answers

Answer:

2nd choice: x = -2 or x= 3/5

Step-by-step explanation:

5x² + 7x = 6

We can solve.

5xx + 7x - 6 = 0

try the diamond method first

-30 = 5*-6....   -3*10 = -30  and  -3x + 10x = 7x

So...

5xx - 3x  + 10x  - 6 = 0

x(5x - 3) + 2(5x - 3)  = 0

(x +2)(5x - 3) = 0

roots  x = -2  and x = +3/5

Answer:

The correct answer is x=-2 or x=3/5. I found this answer by using an app called Photomath, you should download it. it really helped me :)

Please help me I will mark u as brainlyest answer

Answers

Answer:

D, D, G, G,

Step-by-step explanation:

1st. Decay: This is decay because number being multiplied is less than 1.

2nd. Decay:This is decay because number being multiplied is less than 1.

3rd. Growth: This is growth because the number being multiplied is greater than 1.

4th.Growth:This is growth because the number being multiplied is greater than 1.

A piano teacher charges students $20.25 each month, plus $5.25 per hour for lessons.

Which expression and value represent the total the instructor will charge a student for x hours of lessons in a month and the amount the instructor would charge a student for 15 hours of lessons in a month?
$20.25 – x; $15
$20.25 + x; $25.50
$20.25 – $5.25x; $58.50
$20.25 + $5.25x; $99

Answers

Answer:

suppose the number of 2 hours lessons are x and 1 hour lessons are y; thus,

2x+y=25

50x+30y=690

to get the values of x and y we solve the quadratic equation given;

from the top equation:

y=25-2x.......i

substituting i in our second equation we get:

50x+30(25-2x)=690

50x+750-60x=690

-10x=-60

thus;

x=6

hence we conclude that the number of 2 hours classes are 6 hours

Step-by-step explanation:

Final answer:

The expression representing the total charge for x hours of piano lessons is $20.25 + $5.25x, and for 15 hours, the total charge would be $99.

Explanation:

The correct expression to represent the total charge for a student who takes x hours of piano lessons in a month at $20.25 per month and $5.25 per hour is $20.25 + $5.25x. To calculate the amount the instructor would charge for 15 hours of lessons, we substitute x with 15:

Total charge for 15 hours = $20.25 + $5.25(15) = $20.25 + $78.75 = $99.

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within a radius of 4.9 miles of a cell phone tower, 1483 people per square mile enjoy quality phone signals. what is the population of cell phones users within the towers converage area​

Answers

Answer:

The population around the tower is 111,862 people.

Step-by-step explanation:

In order to solve this problem we first need to calculate the area surrounded by the tower, since it's a circle we can apply the following formula:

tower area = pi*r²

tower area = pi*(4.9)² = 75.4296 miles²

For every mile² there are 1483 people, therefore:

population = area*density

population = 75.4296*1483 = 111,862

The population around the tower is 111,862 people.

Summit Plummet's big drop starts at point A(0, 120) and ends at point B (56, 0). What's the slope from point A to point B?

Answers

Answer:

15/-7

Step-by-step explanation:

slope is y(2) - y(1) / x(2) - x(1)

120-0/0-56

120/-56

simplified

The slope from point A to point B is found by dividing the rise by the run. With a rise of -120 and a run of 56, the slope is approximately -2.14, indicating a downward slope from A to B.

To find the slope from point A to point B, we can use the formula slope = rise/run. In this scenario, point A is at (0, 120) and point B is at (56, 0).

First, determine the rise, which is the change in the y-coordinates (vertical change). The rise is 0 - 120 = -120.

Next, determine the run, which is the change in the x-coordinates (horizontal change). The run is 56 - 0 = 56.

Now, we can calculate the slope: slope = rise/run = -120/56 = -2.14

If 65% of a shape is shaded, what percent is NOT shaded?

Answers

35% isn’t shaded.
100-65= 35

Answer:

35%

Step-by-step explanation:

65%= .65

100-.65=.35

.35=35%!

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