can someone help please ?

Answer:

-3|15 - (-3)| + 2(-3)³ = -3|18| + 2(-27)

= -3(18) + 2(-27)

= -54 + (-54) = -108

[tex]15t+17=13t+14\\\\2t=-3\\\\t=-\dfrac{3}{2}[/tex]

x would equal 14 hope this helps

Using the Polynomial Division: Divide 5[tex]x^{4}[/tex]−2[tex]x^{3} -7x^{2} -39 by x^{2}[/tex] +2x−4 using long polynomial division.

Answer to the Polynomial Division: [tex]5x^{2} -12x+37+\frac{-122x+109}{x^{2}+2x-4}[/tex]

The question deals with the division of two polynomial expressions in mathematics. The process involves division of highest degree terms in the polynomials and subtraction of the result from the numerator polynomial, similar to the technique of long division.

The question involves the division of two polynomial expressions, which is a topic in Mathematics, specifically Algebra. The division of polynomials is performed similarly to the long division we use for numbers. In this case, the polynomial (5x^4-2x^3-7x^2-39) is divided by the polynomial (x^2+2x-4).

To perform the division, we divide the highest degree terms in the polynomials. So, we divide 5x^4 (from the numerator polynomial) by x^2 (from the denominator polynomial) to get 5x^2. Multiply this by the entire denominator polynomial and subtract the result from the numerator polynomial. The process is continued until we cannot continue dividing any further.

The result is your answer, which might be another polynomial or a number. Similar to long division with numbers, there might be a remainder after the division.

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The correct answer is a. 3x + 6

In order to find a compound function, you must use the first letter in the function (in this case f) and plug the second letter (g) in where you see x's.

f(x) = x + 2

f(g(x)) = (g(x)) + 2

f(g(x)) = (3x + 4) + 2

f(g(x)) = 3x + 6

Final answer:

To find the composition (g ° f)(x), substitute f(x) into g(x) and simplify. The correct answer is 3x + 10.

Explanation:

To find (g ° f)(x), also known as the composition of the functions g and f, you would substitute f(x) into g(x). This means we are looking for g(f(x)):

First, we have f(x) = x + 2.

Then, g(x) = 3x + 4.

To compose g with f, we replace every instance of x in g(x) with f(x). So, g(f(x)) becomes 3(x + 2) + 4.

We simplify this to get 3x + 6 + 4.

And finally, combining like terms gives us 3x + 10.

Therefore, the correct option is (g ° f)(x) = 3x + 10, which is choice b.

the answer would be 6 buckets

Answer: y-intercept = -12

Step-by-step explanation:

[tex]-3x = 60+5y[/tex]                         Add [tex]5y[/tex] on both side

[tex]-3x-60 = 5y[/tex]                          Subtract [tex]60[/tex] on both sides

[tex]-\frac{3}{5}x-12=y[/tex]                 Divide 5 on both sides

The y-intercept of the line -3x - 5y = 60 is equal to -12.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided about this line, a linear equation in standard form that models it is given by;

-3x - 5y = 60

By making y the subject of formula, we have the following:

5y = -3x - 60

y = -3x/5 - 12

By comparison, we have the following:

y-intercept, b = -12.

slope, m = -3/5.

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$720 becuase 120 divded by 1/6 is 720 and your mathbook couldve helped to

Answer:

[tex]\frac{1}{6}s = 120[/tex]

Step-by-step explanation:

Given : Israel added $120 to his savings. This added amount represents 1/6 of his total savings.

To Find : If s represents the total savings, which equation could be used to determine the value of s?

Solution :

Israel added $120 to his savings.

This added amount represents 1/6 of his total savings.

Let s be the total savings

So, ATQ

[tex]\frac{1}{6}s = 120[/tex]

So, The equation could be used to determine the value of s is [tex]\frac{1}{6}s = 120[/tex]

Answer:

Yes

Step-by-step explanation:

30% of 900 is 270

the cost to lease the machine is 200

therefore 270-200=70

leaving you with 70 dollars profit

Answer:

Yes

Step-by-step explanation:

I'm selling $900 per month of slushies, with a margin of profit of 30% that is:

[tex]P=\$900*(0.30)=\$270[/tex]

The machine has a cost of $200 per month, so the total profit is given by:

[tex]Tp=\$270-\$200=\$70[/tex]

Each month I have a profit of $70.

Answer:

$5000*0.816 = $4082

Step-by-step explanation:

It's a strange question, but based on the statement and the question it sounds like it's a poisson distribution:

* For 3 days she was able to get 2 good shots (typical of that time of the year)

* Good shots happen randomly

* Each day is independent of another

Let's call 'p' the probability that she makes a good shot per day

Let's call 'n' the number of days Karen is taking shots.

So, if in 3 days he got 2 good shots and that is typical at that time of the year, then the expected value for the number of good shots (X) is:

[tex]E(x)=\frac{2}{3}[/tex]

For a Poisson distribution [tex]E (x)=\lambda\\\lambda= np[/tex]

So:

[tex]\lambda =\frac{2}{3}[/tex]

For a Poisson distribution the standard deviation is:

[tex]\sigma = \sqrt{\lambda}\\\sigma = \sqrt{\frac{2}{3}}[/tex]

[tex]\sigma = 0.816[/tex] this is the standard deviation for the number of buentas taken.

So the standard deviation for income is the price of each shot per sigma

$5000*0.816 = $4082, which is the desired response.

plug the numbers into the formula: V = (4*6)/3

simplify parentheses: V = 24/3

divide: V = 8

Answer:

15 inches

Step-by-step explanation:

Area of a rectangle = width × length

We know the area and length so we can put them into the equasion.

375 in.^2 = width × 25 in.

We know that something times 25 is equal to 375. Therefore, we have to divide 375 by 25, which equals 15.

So, 375 in.^2 = 15 in. × 25 in.

The width of the rectangle is 15 inches.

To find the width of a rectangle, given its length and area, we can use the formula for the area of a rectangle:

Area = Length × Width

We are given that the length of the rectangle is 25 inches and the area is 375 square inches.

Let's substitute these values into the formula:

375 in² = 25 in × Width

To find the width, we need to isolate it on one side of the equation. We can divide both sides of the equation by 25 inches:

375 in² / 25 in = Width

Simplifying the expression:

15 in = Width

Therefore, the width of the rectangle is 15 inches.

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N/3 - 5 = 13

(N-15/3) =13 taking lcm

N-15 = 13×3

N-15 = 39

Therefore, N = 39+15 = 54

N/3-5=13

n/3-5=13 // -13

n/3-13-5=0

N=54

Answer:

Volume = length * width * depth

= 3a^6 * a^2 * b^4

= 3a^(6+2)b^4

= 3a^8b^4  cubic units Answer.

Step-by-step explanation:

The exponents 6 and 2 are added when the terms are multiplied

Swimming pool is generally build as a cuboid.

Volume of cuboid refers to the measurement of the space in the cuboid. It is the product of length, breadth and height of the cuboid.

Therefore the formula to calculate volume of cuboid will be:

                   [tex]\rm Volume\:of\:cuboid = \rm length\times breadth \times height[/tex]

The volume of the pool will be [tex]\rm 3a^8 b^4[/tex].

To reach the above answer, following calculations are required:

Given:

Dimensions of the pool:

[tex]\begin{aligned} \rm Length &= 3a^6\\\rm Breadth &= a^2\\\rm Height &= b^4\end[/tex]

Therefore, volume of pool will be as follows:

[tex]\begin{aligned} \rm Volume\:of\:cuboid &= \rm length\times breadth \times height\\&= 3a^6 \times a^2 \times b^4 \\&= 3a^{6+2}b^4\\&= 3a^8b^4 \end[/tex]

Volume of pool = [tex]\rm 3a^8b^4[/tex]

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Joelle should multiply 792 by 22 to get a perfect square

To figure out the smallest integer that Joelle could have multiplied by 792 to get a perfect square, we need to factorize 792 and ensure all prime factors appear in even powers.

First, we find the prime factorization of 792:

[tex]792 =2^3 \times 3^2 \times 11[/tex]

For a number to be a perfect square, all the exponents in its prime factorization must be even. The exponents of 2 and 11 are not even in this factorization, so we must multiply 792 by the smallest factors that will make these exponents even. So, we need an additional factor of 2 (to make [tex]2^4[/tex]) and an additional factor of 11 (to make [tex]11^2[/tex]). Therefore, we multiply as follows:

[tex]2 \times 11 = 22[/tex]

So, the smallest integer Joelle could have multiplied 792 by to get a perfect square is 22.

28 is the least common multiple. To find the least common multiple, you look through the numbers both 4 and 7 go into. The smallest of those number is the least common multiple, or LCD.

Answer: The least common multiple of 4 and 7 is 28.

Step-by-step explanation:

↓↓↓↓↓↓↓↓

First, find the prime factorization of 4.

2×2=4

Next, find the prime factorization of 7.

7×1=7

Then, multiply each factor the greater number of times it occurs.

7×2×2=28

Hope this helps!

Thank you for posting your question.

-Charlie

Answer:

The amount of money saved will be $0.25

Step-by-step explanation:

Sand sells [tex]8\frac{1}{2}[/tex] cents per pound.

So, the cost of 100 pounds will be:  [tex]8\frac{1}{2}*100=\frac{17}{2}*100 = 850[/tex] cents.

We know that,  1 dollar = 100 cents.

So, 850 cents [tex]=\frac{850}{100} dollar = \$8.50[/tex]

Thus, the amount of money saved by buying 100 pounds at $8.25 will be:  [tex](\$8.50-\$8.25)= \$0.25[/tex]

The amount saved by buying 100 pounds at $8.25 is the change in price per pound and the discounted price, which is 0.25 cents

Price per pound = 8.50 cent

Calculating the cost per pound of of Sand at $100 for $8.25 :

100 = 8.25

1 = p

Cross multiply :

100p = 8.25

p = 8.25 / 100

p = $0.0825 = 0.0825 × 100 = 8.25 cent

The amount saved = 8.50 - 8.25 = 0.25 cent

Therefore, the amount saved by buying 100 pounds at $8.25 is 0.25 cent.

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Answer:

33 is your answer

Step-by-step explanation:

Plug in -4 for m in the expression

(-4)^2 - 3(-4) + 5

Simplify. Remember to follow PEMDAS. First, solve the number connected to the power sign.

(-4)^2 = (-4)(-4) = 16

Next, solve -3(-4). Multiply

-3(-4) = 12

Finally, combine like terms.

16 + 12 + 5 = 33

33 is answer

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~Senpai

Answer-

The absolute value of the difference of the two numbers was found to be 7.

Solution-

The given two numbers are, 2 and -5.

Between these two number,

larger number = 2

smaller number = -5

(∵ As 2 is right of -5 on the number line)

[tex]\left |larger\ number-smaller\ number \right|[/tex]

[tex]=\left |2-(-5)\right |[/tex]

[tex]=\left |2+5 \right|= 7[/tex]

[tex]\left | smaller\ number -larger\ number \right|[/tex]

[tex]=\left |(-5)-2 \right|[/tex]

[tex]=\left |-5-2 \right|=\left |-7 \right|=7[/tex]

Therefore, it can be proved the order doesn't matter if we take the difference in absolute value.

[tex]\dfrac{-20t^5u^2v^3}{48t^7u^4v}=\dfrac{-20}{48}\cdot\dfrac{t^5u^2v^2v}{t^5t^2u^2u^2v}=-\dfrac{5}{12}\cdot\dfrac{v^2}{t^2u^2}=-\dfrac{5v^2}{12t^2u^2}[/tex]

[tex]Used:\\\\a^n\cdot a^m=a^{n+m}[/tex]

Question

A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?

A. first quadrant

B. second quadrant

C. third quadrant

D. fourth quadrant

Answer:

A. first quadrant.

Hope this helps!

C the third quadrant

under a counterclockwise rotation about the origin of 180°

a point (x, y ) in the first quadrant maps to ( - x, - y ) a point in the third quadrant.

12 out of 36 is the same as 12/36

Both 12 and 36 are divisible by 12.

12/36 = (1 * 12)/(3 * 12) = 1/3 * 12/12 = 1/3 * 1 = 1/3

Answer: 1/3

1/2 7/8

1/2x4=4/8

4/8 7/8

3/8 is the difference

Hey There,

Your answer is:

486 R 1

2 goes into 17 8 times 17-16 = 1 bring down the 3, 2 goes into 13 6 times, 13-12 = 1

483 r 1

Answer:

The center of this ellipse is (-1, 2).

None of those choices are correct.

The angles are vertical angles so they are equal

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60

6x - 3x = 60 - 3

3x = 57

 x = 19

Answer

x = 19

THE QUESTION:After it is purchased, the value of a new car decreases $4000 each year. After 3 years, the car is worth $18,000. What was the original value of the car?

THE WORK: $4000x$3 = $12000_$18000-$12000 = $6000

MY ANSWER: based on my work, the answer is $24000

Final answer:

To find the original value of a car that depreciates by $4,000 each year, we add the total depreciation over 3 years ($12,000) to the car's value after 3 years ($18,000), resulting in an original price of $30,000.

Explanation:

The student is asking about the calculation of the original price of a car given its depreciation rate and its value after a certain period. Since the new car decreases by $4000 each year and after 3 years the value of the car is $18,000, we can calculate the original value by reversing the depreciation.

Depreciation calculation: