Use the distributive property to factor the expression below.
5x^2 + 25

A. 5x(x + 5)

B. x(5x+ 25)

C. 5(x^2 + 25)

D. 5(x^2 + 5)

30 ft tall  20 /8 =  2.5 so 12 * 2.5 = 30

[tex]Solution, solve\:for\:x,\:\frac{3x-15}{2}=4x\quad :\quad x=-3[/tex]

[tex]Steps:[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}2, \frac{3x-15}{2}\cdot \:2=4x\cdot \:2[/tex]

[tex]Refine, 3x-15=8x[/tex]

[tex]\mathrm{Add\:}15\mathrm{\:to\:both\:sides}, 3x-15+15=8x+15[/tex]

[tex]\mathrm{Simplify}, 3x=8x+15[/tex]

[tex]\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}, 3x-8x=8x+15-8x[/tex]

[tex]\mathrm{Simplify}, -5x=15[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-5, \frac{-5x}{-5}=\frac{15}{-5}[/tex]

[tex]\mathrm{Simplify}, x=-3[/tex]

The correct answer is C. -3

Hope this helps!!!

true is the answer to this problem yah yah yah

Zero is neutral because it is not negative or positive so it is neutral

x(2x²+4x-1) is your answer.Hope this helps. :)

Answer:x(2x^2+4x-1)

Step-by-step explanation:

The answer is h=-2 if you are wondering on how to find that answer negative times a positive equals a negative but negative times a negative equals a positive

c. is your answer I think.

The fourth graph is showing the correct relation between the leaf’s height in feet as a function of time, in seconds.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The height is 12 feet and the rate of falling of leaf is 0.25 feet per second.

Check for the 20th-second leaf's position.

Position = 0.25 x 20 = 5 feet

So in 20 seconds leaf will travel 5 feet so the height of the leaf from the ground is,

H = 12-5 = 7 feet

The fourth graph is showing the position at 7 feet in 20 seconds.

Therefore, the fourth graph is showing the correct relation between the leaf’s height in feet as a function of time, in seconds.

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Note that:

25% = 0.25

Multiply 24 with 0.25

24 x 0.25 = 6

$6 is the discount, with the new price being 18.

hope this helps

The item discount would be $18.00

[tex]e^{3x}=12\\\\3x=\ln 12\\\\x=\dfrac{\ln 12}{3}\approx0.83\\\\\\[/tex]

Answer:

x=0.83

Step-by-step explanation:

Given: [tex]e^{3x}=12[/tex]

We are given an exponential equation and to solve for x.

[tex]e^{3x}=12[/tex]

Taking ln both sides

[tex]\ln e^{3x}=\ln 12[/tex]

[tex]3x\ln e=\ln 12[/tex]                        [tex]\because ln a^m=m\ln a[/tex]

[tex]3x=\ln 12[/tex]                            [tex]\because \ln e=1[/tex]

[tex]x=\dfrac{\ln 12}{3}[/tex]                   [tex]\text{divides both sides by 3}[/tex]

The exact value of x is [tex]\dfrac{\ln 12}{3}[/tex]    

Using calculator to find ln 12

[tex]x=\dfrac{2.4849}{3}[/tex]

[tex]x=0.8283[/tex]

Hence, The value of x is 0.83

Your answer would be 2048! This is because you multiply 2 by itself 11 times, so 2x2x2x2x2x2x2x2x2x2x2 = 2048!

The equivalent value of the exponential equation is A = 2¹¹ = 2048

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 2¹¹

where the base of the exponential form equation is 2

And , the power of the base is = 11

Now , from the laws of exponents , we get

A = 2¹⁰ x 2

A = 1024 x 2

On simplifying the equation , we get

A = 2048

Therefore , the value of A is 2048

Hence , the exponential equation is solved and A = 2048

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y=-12x+78 y=-12x+78

y=-12x+78 y=-12x+78

y=-12x+78 y=-12x+78

y=-12x+78 y=-12x+78

For this equation x will be equal to= x=-1/12y+13/2

For this equation y will be equal to y= -12x+78

By Cross multiplying given equation will become.

3x-15= 2(4x)

3x -15= 8x

subtracting 3x both sides

3x-3x -15 = 8x-3x

-15 = 5x

Dividing 5 both sides

-5= x   answer

Answer:

117.775

Step-by-step explanation:

Divide 151 by 200

117.775

To convert the mixed number 117 151/200 to a decimal, divide the numerator by the denominator and we get 0.755.

To write the decimal equivalent of a mixed number like 117 151/200, we first convert the whole number part to a fraction by adding a denominator of 1. So, 117 can be written as 117/1. Then, we find a common denominator for the numerator and denominator of the fraction part, which in this case is 200. When we add the whole number part to the fraction part, we get 117 151/200.

To convert this mixed number to a decimal, we divide the numerator by the denominator. In this case, 151 divided by 200 gives us 0.755.

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The most general proccedure for this type of problems is the following:

For a quadratic function of the following form [tex]f(x)=x^2+bx+c[/tex]; where b and c are real numbers.

1) Identify the value that accompanies the x, that is, the value "b"

2) Divide the value of b by 2 and then square it: [tex](\frac{b}{2})^2[/tex]

3) Add and subtract in the function the value of  [tex](\frac{b}{2})^2[/tex]

4) Write the complete function of the form [tex]f(x) = (x+\frac{b}{2})^2-(\frac{b}{2} )^2+c[/tex]

For the function presented [tex]f(x)=x^2 +12x+6[/tex] the result is as follows:

1) The value of b is 12

2) [tex](\frac{12}{2} )^2=36[/tex]

3) [tex]f(x)=(x^2+12x+36)-36+6[/tex]

4)[tex]f(x)=(x+6)^2-36+6[/tex]

Finally the function is:

[tex]f(x)=(x + 6)^2-30[/tex]

The zero pair that must be added is 36 and -36

603*.09=54.27 so add 603+54.27= 657.27

The answer is -17.6

7x + 4 = 12

7x = 12-4

7x = 8

x = 7/8

To estimate the product of 194 x 476, we round each number to the nearest hundred and multiply. After rounding, the multiplication is 200 x 500, which equals 100,000. This is a reasonable estimate for the multiplication problem.

The subject of this question is Mathematics, and the grade level appears to be Middle School. The student is asking for a reasonable estimate of the product of 194 and 476.

To estimate the product of 194 x 476, we should round each number to a convenient figure before multiplying. Both numbers round to the nearest hundred, with 194 rounding down to 200 and 476 rounding up to 500.

The estimate calculation would therefore be:

When we multiply these rounded figures, we get:

200 x 500 = 100,000

This is a reasonable estimate for the product of 194 x 476.

So a tip for these is go through each equation by plugging in the equations in your graphing calculator and going to the table to see which one matches it

So in this situation, none are exact so you have to find the closest, your correct answer comes to d.

[tex]x^2=24\\\\x=\sqrt{24} \vee x=-\sqrt{24}\\\\x=2\sqrt6 \vee x=-2\sqrt6[/tex]

The solutions to the quadratic equation is x = ±2√6

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

x² = 24

Taking square roots on both sides , we get

√x² = √24

Now , the value of x is

x = ±√24

On simplifying the equation , we get

x = ±2√6

where the two solutions of x are having both positive and negative roots

So , the solutions of equation are

x = +2√6 and x = -2√6

Hence , the solution is x = ±2√6

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40 is under the number of training hours and the $1700 is under the pay column.

So for 40 hours of training the person would make $1700.

The answer is D.

Remember to follow the Left -> Right rule.

First, solve 9 - (-6). Remember that two negatives = one positive:

9 - (-6) = 9 + 6 = 15

Now solve:

15 - 12 = 3

3 is your answer

~Rise Above the Ordinary, Senpai

Step One:  The distributive property

4x = 7x - 21

Step Two: Subtraction of equals from both sides of the equation.

4x - 7x = 7x - 7x - 21  

Step Three

Collecting like terms

-3x = - 21

Step Four

Divide by - 3: division of equals.

-3x/-3 = -21/-3

x = 7

You have a list of these terms somewhere. Everyone writes these differently. You have to translate this into what your notes tell you they are.

For the text answers:

conditional - If 2 lines are supplementary then the measure of the angles sum is 180

converse - If the measure if the angle sum is 180 then the 2 lines are supplementary

inverse - If 2 lines are not supplementary then  the measure if the angle sum is not 180

contrapositive - If  the measure if the angle sum is not 180 then 2 lines are not supplementary.

answer to the picture one:

conditional - If you do all your math homework then you will do well on the test.

converse - If you do well on the test then you do all your math homework

inverse - If you do not do all your math homework then you will not do well on the test.

contrapositive - If you do not well on the test then you did not do all your math homework

The conditional statement reads as if two angles are supplementary, then their measures sum to 180 degrees. Its converse flips this relationship around. The inverse and contrapositive negate the original and converse statements, respectively.

In this context, the conditional statement p→q would read: if two angles are supplementary, then the measures of the angles sum to 180°. The converse, q→p, would be: if the measures of the angles sum to 180°, then the angles are supplementary.

The inverse, ~p→~q, changes the original statement to: if two angles are not supplementary, then the measures of the angles do not sum to 180°. Finally, the contrapositive, ~q→~p, would be: if the measures of the angles do not sum to 180°, then the angles are not supplementary. These variations of the original conditional statement allow us to analyze the relationship between the angles and their measures in different ways.

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4mn + m + 5

Terms: 4mn, m, 5

1 c because √5  =  √4 and √9  3 +2 =5

2 b.

sqrt ( 36 ) * sqrt ( 49 ) = 6 * 7 = 4

3 c  sq root of - 66 = sqrt ( - 1 ) * sqrt ( 66 ) = i * 8.124

approx. 8 i

Remarq ( i ) = sqrt ( - 1 )

4 √3 c 1.7

5    sqrt ( 112 ) = 10.583   10.6 feet

The points are (c), (b), (c), (c), (c) respectively. The estimates are made by finding the closest square roots, and by rounding to the nearest tenth if necessary.

1. The two square roots used to estimate √5 are √4 and √9 (option c); because 5 is in between 4 and 9.

2. The two square roots used to estimate √43 are √36 and √49 (option b); because 43 is in between these two perfect squares.

3. An estimate for -√66 is -8 (option c); since 66 is closer to 64 which is a perfect square of 8.

4. An estimate for √3 is 1.7 (option c); since the actual value of √3 is approximately 1.732, rounding to the nearest tenth gives 1.7.

5. To estimate the length of one side of the deck, you need to find the square root of 112. The best estimate of √112 is 10.6 feet (option c), as it is the closest to the actual square root of 112 which is approximately 10.58.

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Answer: $2.34

All you do is multiply 39 cents (.39) times how many letters you want to send (6), and that is your answer.

Hope this helps. :)