Which of the following equations shows how substitution can be used to solve the following system of equations?

The remainder of the given division ( x³+5x²−32x−7 ) ÷ ( x−4 ) is equal to 9.

As given in the question,

Dividend of the given division is equal to :  ( x³+5x²−32x−7 )

Divisor of the given division is equal to : ( x−4 )

Divide the given dividend ( x³+5x²−32x−7 ) by divisor  ( x−4 ) remainder we get,

( x³+5x²−32x−7 )

= x³ -4x² +9x² -36x +4x-16 +9

= x²(x-4) + 9x (x-4) +4(x-4) + 9

= (x-4)(x² +9x +4) + 9

Quotient is equal to (x² +9x +4)

Remainder is equal to 9

Therefore, the remainder of the given division ( x³+5x²−32x−7 ) ÷ ( x−4 ) is equal to 9.

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Answer:

D) 5

Step-by-step explanation:

we see that every 4 hours 20 miles are traveled.

so, the rate of change of miles travels over hours is

20/4 = 5/1 = 5

in other words, the speed was 5 mph.

The value of p from the given equation is 136.

The given equation is p/4 - 15 = 19.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is solved as follows:

Transpose -15 to other side of the given equation

That is, p/4 = 19+15

⇒ p/4 = 34

Cross multiply 4 to 34

We get p = 34 × 4

⇒ p = 136

Therefore, the value of p from the given equation is 136.

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Answer:

D.

Step-by-step explanation:

To find the unit rate, divide both numbers. So, divide 560/800

The answer is 0.7.

Answer:

3/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

At the given speed it will take Fred 1.7 hours to run 8.5 miles.

An object's direction and rate of further travel are both regarded as parts of its velocity. By observing how fast and in which direction an object is moving, you may estimate its velocity.

Similar to speed, but also taking direction into account .Speed is hence directionless, but velocity denotes direction. Speed only offers a numerical representation of your speed.

Time taken by Fred to cover 6.25 miles = 1 1/4 = 1.25 hours

Speed of Fred = 6.25/1.25 = 5 miles per hour.

Distance to cover =8.25 miles

Time taken =8.25/5 = 1.7 hours.

Due to the addition of direction, velocity shows how quickly you are shifting your location. Because of this mismatch, if you travel very swiftly while your location stays the same, your velocity will only be 0.

Hence the time taken will be 1.7 hours.

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Answer:

840 minutes or 14 hours

Step-by-step explanation:

30 min x 28 days = 840 min

:]

Answer: 14 Hours or 840 mins

30 × 28 = 840 mins = 14 hours

Answer:

39800

i hope that this helps you

The measure of ∠M and ∠L is 45 degrees. then the measure of ∠N  is 90 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints. The point of their joint is called vertex of that angle. Those two line segments forming it are called arms of that angle. The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

Given that the angle L M N the measure of angle L is equal to the measure of angle M.

∠L = ∠M

Also, the measure of angle N is twice the measure of angle M.

∠N = 2∠M

The measure of each angle in angle L M N would be;

∠L + ∠M + ∠N = 180

∠M + ∠M + 2∠M = 180

4∠M = 180

∠M = 180/4

∠M = 45

∠M = ∠L = 45 degrees

∠N = 2 x 45 = 90

Therefore, the measure of ∠M and ∠L is 45 degrees. then the measure of ∠N  is 90 degrees.

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Answer:

I don't think so, but maybe Prodigy has a game level for high schoolers. You could try searching Gooogle for it, but other than that, I don't think Prodigy does high school math games.

Step-by-step explanation:

Answer: So just ask them

Step-by-step explanation:

So like first tell your teachers and say "hey there mother clunker. Can we play prodigy?". and if they say "Nah fam we're in high school not trashy middle school or elementary school.". You say "SHUT YO PASTEY BUTT UP IM THE ALPHA MALE AND YOU SHOULD RESPECT ME. NOW TELL ME. CAN I PLAY PRODIGY?". If you do say that the teacher will always say "yes yes pls don't hurt me." then you get to play prodigy. Thank me.

the graphs are attached herewith , where the label of the graph are :

  along X-axis: 1 square  division = 10 units

  along y-axis: 1  square division: 10 units

The problem we dealing with is related to manipulating graphs.For the question 7 to 10, the commonly given function is f(x)= √x, if the g(x) is nothing but the f(x-c) or f(x+c), so for the g(X) to be f(x-c), then a graph of that particular function turns to stretch downward whereas, for the f(x+c), it stretches upward.

So, for 7  g(x)=√x- 4 where -4  is c so the g(x) = f(x-c) so the  point for the graphs will stretch downward compare to the pint of the functions  f(x)= √x.

8. g(x)=√x +3

here g(x)= f(x+3), so the pints  stretched upward

9. g(x)=√x + 6 − 4=√x + 2

here additional number for the points ar 2, as it positive one,  so the  point of the function g(x), stretches upward

10. g(x)=√x - 7+3=√x -4

here the c is -4, so the point of the  g(x), stretches downward.

Same for the questions 11 to 14, the common function is f(x) = 1/x ,for which which g(x) = f(x-c) or f(x+c), for positive c , the graph stretches upward otherwise it moves downward

11. g(x) = 1/x +4

here the  c is positive, the graph stretches upward for the  g(x)

12. g(x) = 1/x - 6

here the  c is negative, the graph stretches downward for the  g(x)

13. g(x) = 1/x-6 + 8= 1/x+2

here the  c is positive, the graph stretches upward for the  g(x)

14. g(x) = 1/x+7 -4= 1/x+3

here the  c is positive, the graph stretches upward for the  g(x)

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The coefficient of the product of (-5 x y²) and (-4 x²y) exists 20 .

The exponent of x in the product exists 3, and the exponent of y exists 3.

A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. Mn denoted that m has been multiplied by itself n times if m exists a positive number and n exists its exponent.

We exists to determine the product of (-5 x y²) and (-4 x² y)

The product of (-5 xy²) and (-4 x²y) can be defined as shown below

-5xy² × -4x² y

simplifying the above equation, we get

-5 × -4 × x ×  x² × y² × y

⇒ 20 × x³ × y³  

⇒ 20 x³  y³

The product of the given expressions is 20 x³ y³

Therefore, the coefficient of the product is 20.

The exponent of x in the product exists 3 and the exponent of y exists 3.

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Answer: can you guys help me too

Step-by-step explanation:

Together, Nora and Addison own 152 shares of stock.  Nora has 4 less than three times Addison's amount.  How many shares does each girl have?

The company spent average amount $678.57 per article.

Average spent per article is calculated using the formula -

Average = sum of all observations ÷ total number of observations

In the question, observations are the different items bought by the company.

Amount spent on sample merchandise = 5 × 450

Amount spent on sample merchandise = $2250

Amount spent on sample signs = 4 × 750

Amount spent on sample signs = $3000

Amount spent on chromebooks = 12 × 750

Amount spent on chromebooks = $9000

Total amount spent = 2250 + 3000 + 9000

Total amount spent = $14,250

Number of articles = 5 + 4 + 12

Number of articles = 21

Average = 14,250 ÷ 21

Average = $678.57

Thus, the average spent per article is $678.57.

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Answer:

i think a

Step-by-step explanation:

Answer: a.) $2.20 dollars per pound of flour.        b.) $5 dollars per hour

Step-by-step explanation:

You will arrive at Myers fla by 9:30 am

Both are correct. One expression is literal expression ( whole candy bar). The other expression is mathematical expression ( 100% of a candy bar).

So both expressions are the same

Kelvin should fasten each piece of wood approximately 7.1 from the corner.

The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

a² + b² = c²

a = b

So,

2a²  = c²

a² = 100/2

a = [tex]\sqrt{50}[/tex]

a = 7.1

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It looks exponential

A

An integer is any number that contains both positive and negative numbers, including zero. The change in elevation exists 14 feet per second.

An integer is any number that contains both positive and negative numbers, including zero. It does not contain fractional or decimal parts.

Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers.

A parachutist descends 70 feet in 5 seconds.

To find this simply divide the numbers as shown: 70 feet in 5 seconds

70 / 5 = 14 seconds

Therefore, the change in elevation exists 14 feet per second.

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The value for the n is undefined, 3, 3/2.

In this problem, we are dealing with equations where equations are mathematical statements containing two arithmetical expressions on both sides of the sign of 'equal to (=)'. It appears the relationship of equality between the expression composed on the left side with the expression composed on the proper side. In each condition  we have, (L.H.S = R.H.S), left hand side = right-hand side. Conditions can be fathomed to discover the value of an unknown variable representing an unknown amount. If there's no 'equal to' symbol within the statement, it implies it isn't a condition. It'll be considered as an expression. Equations with 1 as the degree are considered linear equations. Equations with degree 2 are quadratic equations and the last Equations with degree 3 are known as cubic equations.

So , for 0n = 6  , it undefined as the L.H.S becomes zero

for 2n=6 => n=6/2=3

for 4n=6=> n=6/4=3/2

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Answer:

n = 2

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

-k-(-8k)

When there are 2 negatives, it becomes a plus. So, -(-8k) would become    

+(8k).

So, -k-(-8k):

-k+8k      Open parentheses and then subtract because there is a negative.

7k Answer.

I hope this clears things up a little!

Solution

The parent function

Now

translates the graph of the parent function f(x)=x^2 vertically up 3 units

The final answer

Option A

is wine sir jacque the a beauty for the universe and

The length of the segment MF will be 6 units.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that M is the midpoint of CF for the points c(4,10) and f(10,10). To calculate the segment MF first let us calculate the midpoint M.

M = [ ( x₁ + x₂ ) / 2, ( y₁ + y₂ ) / 2 ]

M = [( 4 + 10 ) /2 , ( 10+10 ) / 2]

M = ( 7, 10)

The length of the segment MF will be:-

D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]

D = √ [ ( 10-10 )² + ( 10 - 4 )² ]

D = √36

D = 6

Therefore, the length of the segment MF will be 6 units.

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The differentiation of the given equations is [tex]\frac{d}{dx}x^{2}=2x[/tex].

Given that, [tex]\frac{d}{dx}x^{2}[/tex].

The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.

Differentiate using the Power Rule which states that [tex]\frac{d}{dx}x^{n}=nx^{n-1}[/tex].

1) [tex]\frac{d}{dx}x^{2}=2x[/tex]

2) [tex]\frac{d}{dx}(3x^{5})=15x^4[/tex]

3) [tex]\frac{d}{dx}(9x^{2})=18x[/tex]

4) [tex]\frac{d}{dx}(3x^{3})=9x^{2}[/tex]

5) [tex]\frac{d}{dx}(2x^{7})=14x^6[/tex]

6) [tex]\frac{d}{dx}(x^{7})=7x^6[/tex]

Therefore, the differentiation of the given equations is [tex]\frac{d}{dx}x^{2}=2x[/tex].

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Answer: -2Ix-5I - 7

Step-by-step explanation:

all you need to do is Multiply the entire equation by -1