12,781 rounded to the nearest hundred

Answer:

The simplified form of given expression is [tex]x^2+4x-21[/tex].

Step-by-step explanation:

The given expression is

[tex](x-3)(x+7)[/tex]

Here, we have to factors (x-3) and (x+7).

Factor (x-3) has two terms x and -3. Write these terms in first row.

Factor (x+7) has two terms x and 7. Write these terms in first column.

Now, find the elements of the table by multiplying corresponding rows and columns.

The elements of the table are x², -3x, 7x, -21.

Now, add all these elements.

[tex]x^2-3x+7x-21=x^2+4x-21[/tex]

Therefore the simplified form of given expression is [tex]x^2+4x-21[/tex].

Answer:

The artist's earnings for the CD will be $168000.

Step-by-step explanation:

The total sales amount is $2500000

The artist receives a royalty payment of 7%. So, the amount of royalty, the artist receives will be:  [tex](\$2500000\times 7\%)= (\$2500000\times 0.07)=\$175000[/tex]

The agent gets 4% of what the recording artist gets. So, the amount of money the agent gets will be:  [tex](\$175000\times 4\%)=(\$175000\times 0.04)=\$7000[/tex]

So, the artist’s earnings for the CD will be:  [tex](\$175000-\$7000)= \$168000[/tex]

8) h(x) = 2 -4x

h(-5)= 2-4(-5)= 2 + 20 =22

h(-2) = 2 - 4 (-2) = 2+8=10

h (4) = 2 - 4 (4) = 2 - 16 = -14

10) g(x) = |x-x^2|

g(4) = | 4 - 4 ^2| =|4-16|=|-12|=12

g(-7)=|-7 - (-7)^2|=|-7-49|=|-56|=56

g(-3)=|-3-(-3)^2|=|-3-9|=|-12|=12

How to get answer: [tex]\frac{3}{4}[/tex]÷[tex]\frac{1}{3}[/tex]

Apply the fraction rule: [tex]\frac{3}{4} * \frac{3}{1}[/tex]

= [tex]3 * \frac{3}{4}[/tex]

= [tex]\frac{3}{4} * \frac{3}{1}[/tex]

= [tex]\frac{3 * 3}{4 * 1}[/tex]

= [tex]\frac{9}{4 * 1}[/tex]

Answer in fraction form: = [tex]\frac{9}{4}[/tex]

Answer in decimal form: = 2.25

Final answer:

To divide 3/4 by 1/3, multiply 3/4 by the reciprocal of 1/3, which is 3/1, giving you 9/4. This fraction is already in its lowest terms.

Explanation:

To divide fractions, such as dividing 3/4 by 1/3, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1. So, you should alter the division problem to a multiplication problem.

Here is the step-by-step process:

Write down the problem in multiplication form: (3/4) * (3/1).

Multiply the numerators together: 3 * 3 = 9.

Multiply the denominators together: 4 * 1 = 4.

You get the result of the multiplication as 9/4.

To reduce to the lowest terms, we see that 9/4 is already in its simplest form as both 9 and 4 are prime to each other.

Thus, when you divide 3/4 by 1/3, the answer in lowest terms is 9/4.

The point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

We have a slope m = 2 and point (-8, 2)

Substitute:

[tex]y-2=2(x-(-8))\\\\y-2=2(x+8)[/tex]

To rewrite one equation like x = 4 - y into ax + by = c form, we adjusted it to x + y = 4. Then, we combined it with the unchanged equation y = 2x + 3 by substituting 'y' in the first equation with 'y' from the second, leading to 3x + 3 = 4, a one-variable equation.

To rewrite one of the two equations into the form ax + by = c, it's essential to start by having an equation that resembles y = a + bx (which is the same as y = mx + b, the conventional form for a linear equation) and the other in any format initially. Let's assume these equations as the existing ones: y = 2x + 3 and x = 4 - y.

Step 1: Transform the equation x = 4 - y into the form ax + by = c.

Firstly, shift y to the left side of equation by adding 'y' to both sides:

x + y = 4,

That's it! We now have the equation in the required ax + by = c format, where a = 1, b = 1 and c = 4.

Step 2: Add this new equation to the unchanged equation.

x + y = 4 (New one after rearranging)

y = 2x + 3 (Unchanged equation)

By substituting y from the second equation into the first, it will result in an equation in one variable:

x + (2x + 3) = 4,

After simplifying the equation, we get

3x + 3 = 4,

That is the result as an equation in one variable.

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The formula of a midpoint:

[tex]M_{ST}\left(\dfrac{x_S+x_T}{2},\ \dfrac{y_S+y_T}{2}\right)[/tex]

We have:

[tex]M(5,\ -8)\to x_M=5,\ y_M=-8\\T(4,\ -6)\to x_T=4,\ y_T=-6[/tex]

Substitute:

[tex]\dfrac{x_S+4}{2}=5\qquad|\cdot2\\\\x_S+4=10\qquad|-4\\\\x_S=6\\\\\dfrac{y_S+(-6)}{2}=-8\qquad|\cdot2\\\\y_S-6=-16\qquad|+6\\\\y_S=-10[/tex]

27 issssssssssss the eeeeee mean

To determine if it’s a right triangle you would use the Pythagorean theorem. A^2+B^2=C^2 <——- That’s the equation. So you have to know that the hypotenuse(c) is always the longest side. 28^2+45^2=53^2. So yes it is a right triangle.

3+4+5.

You could split it into different groups because of the communative property.

These are two combonations. :) (I'll put 3 so you can chose)

3 + 4 = 7 + 5 = 12.

3 + 7 = 10 + 4 = 14

7 + 4 = 11 + 3 = 14

Answer:

x-36

Step-by-step explanation:

1x-36 has a coefficient of 1,so it can be shown as the term :

After figuring out the sum of 7+5, you can subtract the 6, leaving you with the number that will make the two equal.

7+5=x+6

12=x+6

-6     -6

6=x

7+5=6+6

Answer:

The volunteers donated  [tex](15040-470n)[/tex] milliliters of blood.

Step-by-step explanation:

Total number of volunteers was 32 and the number of volunteers couldn't donate blood was [tex]n[/tex].

So, the number of remaining volunteers who donated blood will be: [tex](32-n)[/tex]

Each of these volunteers donated 470 milliliters blood.

So, the total amount of blood donated [tex]= 470(32-n) = (15040-470n)[/tex] milliliters.

Answer:

Answer: The answer to this problem would be (32-n)*470!

Step-by-step explanation:

Since there were 32 volunteers the beginning and some of them couldn't donate you would subtract (the variable you would use is 'n'). As you may know, each means that you multiply so if each volunteer is giving 470 mm of blood each you would multiply that by how many volunteers are remaining which is unknown.

Your final answer would be: (32-n)*470

Hope this helps and gets Brainiest Answer!!!

Step-by-step explanation:

The experimental probability to choose card 1 (15/125) is 10 less than the theoretical probability which is 25/125.

Answer:

The theoretical probability of choosing a card with the number 1 is  (20​%). The experimental probability of choosing a card with the number 1 is (16​%). The theoretical probability is  (greater than ) the experimental probability.

Answer:

You can conclude that the lines are perpendicular, and will cross at exactly one point.

Step-by-step explanation: If one line has a zero slope, and the other's slope is undefined, that means one line is exactly vertical, and the other is exactly horizontal. This means that they will cross at exactly one point, and are perpendicular.

The slope of a line illustrates the direction of the line

The two lines are perpendicular lines

From the question, we understand that:

As a general rule,

A vertical line and a horizontal line will meet at a right-angle

Hence, the conclusion about the two lines is that, the two lines are perpendicular lines

See attachment for illustration

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Answer:

[tex]x=28cos(z)\\y=28sin(z)[/tex]

Step-by-step explanation:

We have been given a right triangle, which the following dimensions:

Hypotenuse = 28

Angle = z

Adjacent = x

Opposite = y

Upon using trigonometric ratio for cosine, we can write:

[tex]cos(z)=\frac{\text{Adjacent}}{\text{Hypotenuse}} =\frac{x}{28}\\ x=28cos(z)[/tex]

Similarly, upon using trigonometric ratio for sine, we get write:

[tex]sin(z)=\frac{\text{Opposite}}{\text{Hypotenuse}} =\frac{y}{28}\\ y=28sin(z)[/tex]

He saves $20 i did this and i got the right answer. hope this helps mark me as brainliest

Question 28:

[tex]S-2\pi r^2=2\pi rh[/tex]                     Subtract [tex]2\pi r^2[/tex] on both sides

[tex]\frac{S-2\pi r^2}{2\pi r} =h[/tex]         Divide [tex]2\pi r[/tex] on both sides

*(Answer)*=  [tex]\frac{S-2\pi r^2}{2\pi r} =h[/tex]

Question 30:

[tex]a*t=v_{1}+v_{0}[/tex]                  Multiply [tex]t[/tex] on both sides

[tex]a*t+v_{0} =v_{1}[/tex]                 Subtract [tex]v_{0}[/tex] on both sides

*(Answer)*= [tex]a*t+v_{0} =v_{1}[/tex]

Hope This Helps

BangtanBoyScouts

20x

in mathematics ' product ' means multiply

4 × 5x = 20x

I think it is C

I hope this helps

Answer: The answer is (C). [tex]y\geq 0.[/tex]

Step-by-step explanation:  We are given a graph in the figure and we are to identify the range of the graphed function from the given options.

We can see in the figure that the values of x are greater than or equal to 0 and the corresponding values of y are also greater then or equal to 0. Since we are talking about the range of the function, so we will consider the y-values.

Thus, the range of the function will be [tex]y\geq 0.[/tex]

Thus, (C) is the correct option.

3/4 * 4 = 3 miles in 4 days. you can look at it as a decimal/money to to help 3/4 is .75 and .75+.75+.75+.75=3.00 hope it helps and explains how to get the answer.

the sum or product of  21+25+39+5 is 90

Any fraction in which the numerator's value is the same as the denominator's value will equal 1. For example:

7/7, 6/6, 500/500, etc.

~Rise Above the Ordinary

Here are some examples 3/3, 4/4, 5/5, 1/1, 2/2, 6/6. It's any number over it self.

To decide which one is the better deal, you need to compare them on price per ear. So, the the first vendor is $2.56/8ears= $0.32/ear

the second vendor: $4.32/12 = $0.36/ear

The first vendor with the bag of 8 ears is the better deal!

Answer:

The better deal is first vendor bag.

Step-by-step explanation:

Given : A corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56. Another vendor was selling a bag of 12 for $4.32.

To find : Which bag is the better deal?

Solution :

To compare which is better we find the unit rate of both vendor rate.

The selling price of first vendor of 8 ears of corn for $2.56.

The selling price of 1 bag is [tex]\frac{2.56}{8}[/tex]

The selling price of 1 bag is $0.32.

The selling price of second vendor of 12 ears of corn for $4.32.

The selling price of 1 bag is [tex]\frac{4.32}{12}[/tex]

The selling price of 1 bag is $0.36.

The unit price of first vendor bag is lower than second vendor.

So, the better deal is first vendor bag.

The equation of the line parallel to the line y = -7x + 2 will be -

y = - 7x - 3.

Given is the equation of line as y = -7x + 2.

        y = mx + c

The equation of line parallel to the given line will be of the form -

y = - 7x + c                                               {parallel lines have same slope}

For the point (- 5, 32), we can write -

32 = - 7 x - 5 + c

c = 32 - 35

c = - 3                                                       {y - intercept}

The equation of the line will be -

y = - 7x - 3

Therefore, the equation of the line parallel to the line y = - 7x + 2 will be -

y = - 7x - 3.

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Given

end of one day, the value of a share of a certain stock was $12

next three days

the change in the value of the share was -$1, then, -$1, and then $3

ANSWER

proof of (a)

As given  in the question

end of one day, the value of a share of a certain stock = $12

next three days

change in the value of the share was -$1, then, -$1, and then $3

The expression that describes the situation be

= $12 - $1 -$1 + $3

proof of  (b)

The expression that describes the situation be

= $12 - $1 -$1 + $3

solving the above expression

we get

= $13

proof of c

The answer to part b mean in context of the problem is ,

The value of a share of a certain stock  was  $12 at one day end and after the next three days, the change in the value of the share was -$1, t, -$1, $3 than the value of share becomes $13.

Hence proved

Answer:

The overall change in temperature over the time period ∆T = -12.6°F

Hope This Helps :DD

Step-by-step explanation:

Distrubute 5 through the (....)

10x-15+30=35

Calculate the Sum

10x+5=35

Move constant to the right side and change the sign

10x=35-5

Subtract the number

10x=30

Divide both sides by 10

x=3

[tex]\bf 3x+(2x+5)+(2x+10)+(2x-15)=360 \\\\\\\\3x+2x+2x+2x+10+5-15=360\implies 9x+0=360\\\\\\\\x=\cfrac{360}{9}\implies x=40\\[/tex]