Given f(x)=x-8 find f(1)+10

We are given an equation involving the variable x and we need to solve for its value.

The given equation is 21 = 11 * (1 - x/0.4) + 17.

To find the value of x, we will isolate it on one side of the equation.

Let's simplify the equation step by step: 21 = 11 * (1 - x/0.4) + 17

First, we can simplify the expression inside the parentheses: 21 = 11 - 11 * x/0.4 + 17.

Next, we can simplify further by combining like terms:21 = 28 - 11 * x/0.4

To eliminate the fraction, we can multiply both sides of the equation by 0.4: 0.4 * 21 = 0.4 * (28 - 11 * x/0.4.  8.4 = 11 * (28 - 11 * x/0.4)

Now, we can distribute the 11: 8.4 = 308 - 44 * x

To isolate x, we can subtract 308 from both sides: 8.4 - 308 = -44 * x . -299.6 = -44 * x

Finally, we can solve for x by dividing both sides by -44: x = -299.6 / -44 ≈ 6.809

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Answer:

1. >

2. >

Step-by-step explanation:

When multiplying the numbers, you start by finding the simplified term of the exponent. 10^3 is 1000. You then have 1.24 * 1000 ? 1 * 1000. You know 1.24 > 1. So You know that it is 1.24 ^ 10^3 is greater.

Find the simplified term of the exponents.

10^-4 = 0.0001 * 7.36 = 0.00736

10^-5 = 0.00001 * 8.5 = 0.000085

0.00736 > 0.000085

Answer: 60 is your answer

Answer:

d. 120 i hope this helped

Answer:

see explanation

Step-by-step explanation:

Dividing 10.5 by 5 gives the number of trees required for 1 cabin.

10.5 ÷ 5 = 2.1 ← trees , thus

3 cabins = 3 × 2.1 = 6.3

7 cabins = 7 × 2.1 = 14.7

Thus

number of trees      number of cabins

--------------------------------------------------------

          10.5                           5

            6.3                           3

           14.7                           7

Answer:

7 cabins = 14.7 trees & 3 cabins = 6.3 trees

Step-by-step explanation:

Divide 10.5 by 5 to get how many trees it takes to make ONE cabin.

10.5/5=2.1

ONE cabin needs 2.1 trees to be existent. This can help you figure out how many trees it takes to make any number of cabins.

The ratio for one cabin = 2.1:1

Multiply this by 3 to get how many trees you need for 3 cabins.

2.1*2=6.3 trees needed to make 3 cabins

Do the same for 7 cabins.

2.1*7=14.7 trees needed to build 7 cabins.

Answer:

[tex]-\frac{8}{7}\\or\\= -1\frac{1}{7}[/tex]

Step-by-step explanation:

[tex]-\frac{3}{7}\div \frac{3}{8}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=-\frac{3}{7}\times \frac{8}{3}\\\\=-\frac{8}{7}\\\\= -1\frac{1}{7}[/tex]

Answer:

220 cards

Step-by-step explanation:

22/x = 10%/100

100x22= 2200 divided by 10= 220

x=220

22/220 = 10%/100

(I know this is 5 days late but I Hope this helped!)

Answer:

Step-by-step explanation:

1. add  -[tex]x^{2}[/tex]  to +[tex]x^{2}[/tex] to get x on the same side.

and then it would be [tex]2x^{2}[/tex] -7 = 1

2. add 7 on the other side then you get:

[tex]2^{2}[/tex] = 8

3. square root both sides to get rid of the squared. Then you'd get:

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

4. divide both sides to have x by itself. Then you get:

x = [tex]\frac{\sqrt{8} }{2}[/tex] is your solution

Answer:

the equation used for the dollar amount earned is r= 10 and p=76

divide 304 by 4 and 100 by 10

From left to right

1. -1.0

2. -1/4

3. 1(1/4)

solution is on the picture attached

Hope this helps

Answer:

100489

Step-by-step explanation:

Answer:

The value of 2 is in the hundredths places

Step-by-step explanation:

Answer:

She did not subtract 10 and 9 correctly. she did not rename correctly.

Step-by-step explanation:

your welcome :) hehe

Answer:

Step-by-step explanation:

It's correct look at the pic

Answer:

solution here,

5x+8+x = 8x-4

6x +8=8x-4

8+4=8x-6x

12=2x

x=12/2

x =6

hence, the value of x is 6

Answer:

10

Step-by-step explanation:

4+4/4*(5+1)=

4+1(6)=

4+6=

10

The length of Cleopatra's solid-gold jewelry box is 65 centimeters, and the width is 34 centimeters.

Let's denote the width of the jewelry box as 'x' centimeters. According to the given information, the length of the box is 37 centimeters less than triple the width, which can be expressed as '3x - 37' centimeters.

The perimeter of a rectangle is given by the formula: P = 2(length + width). In this case, we have the perimeter as 198 centimeters. Substituting the values into the formula, we can set up the equation:

198 = 2(3x - 37 + x)

Simplifying the equation:

198 = 2(4x - 37)

99 = 4x - 37

4x = 99 + 37

4x = 136

x = 34

The width of the jewelry box is 34 centimeters. Now we can find the length by substituting the value of 'x' back into the expression for the length:

Length = 3x - 37

Length = 3(34) - 37

Length = 102 - 37

Length = 65

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Answer:

(3,7π/6),(3,11π/6)

Step-by-step explanation:

You let

5 + 4 sin(θ) = −6 sin(θ)

Then get

θ= -1/2

Then you can make it

My english is not well,but my math is good

Answer:

D and E

Step-by-step explanation:

Edge 2020

Answer:

Around $988.40

Step-by-step explanation:

With a down payment of $15,000, an annual income of $90,000, and a 30-year mortgage rate of 5%, you should be able to afford a house with a median price of $350,000 in your area.

To determine how expensive of a house you can afford, we need to consider several factors, including your income, down payment, mortgage rate, and the median house price.

First, let's calculate the loan amount. Subtracting your down payment of $15,000 from the median house price of $350,000 gives us a loan amount of $335,000.

Next, we need to calculate your monthly mortgage payment. To do this, we will use the 30-year mortgage rate of 5%. Converting this annual rate to a monthly rate, we get 0.05/12 = 0.0042.

Using an online mortgage calculator, we can determine that the monthly mortgage payment for a $335,000 loan at a 5% interest rate is approximately $1,794.

To determine how much you can afford, we need to consider your income. Assuming an annual income of $90,000, we can estimate your monthly income by dividing it by 12, which gives us $7,500.

As a general rule, lenders typically recommend that your monthly mortgage payment should not exceed 28% of your monthly income. In your case, 28% of $7,500 is $2,100.

Since your estimated monthly mortgage payment of $1,794 is below $2,100, you should be able to afford a house with a median price of $350,000, given your income, down payment, and mortgage rate.

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Answer:

A. The income generated by a 529 plan is tax exempt

Answer:

A The income generated by a 529 plan is tax exempt.

Step-by-step explanation:

I just took the master quiz 5/5

The angles in the square is as follows:

∠1 = 45°

∠2 = 90°

A square is a quadrilateral that has 4 sides equal to each other. The sum of angles in a triangle is 360 degrees.

The diagonal bisect each other and are perpendicular to each other. The diagonals divide the squares into two congruent isosceles triangle.

Therefore, let's find angle 1 and 2 in the square as follows:

Hence, each angle in a square is 90 degrees and the diagonal AC bisect the angles.

∠1 = 45 degrees

∠2 = 90 degrees

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a) The slope of tangent is 12.

b) The equation of the tangent is given by : y = 12x - 7.

a)The given parabola is y = 6x².

Differentiating with respect to x, we have;

dy/dx = 12x.

The slope of the tangent at point (1, 5) is

dy/dx = 12x = 12(1) = 12.

So, the slope of the tangent is 12.

b)We have the slope of the tangent as 12 and the point (1, 5).

The equation of the tangent is given by

y - y₁ = m(x - x₁).

Substituting y₁ = 5, x₁ = 1, and m = 12, we have;

y - 5 = 12(x - 1).

Expanding the equation, we get;

y = 12x - 7.

f(a)To find f(a), we are given f(x) = 4x² - 3x + 2.

Substituting x = a, we get;

f(a) = 4a² - 3a + 2.

Substituting a = -10, we get;

f(-10) = 4(-10)² - 3(-10) + 2

= 40

2.Estimate the average rate of cell phone growth

(i) from 1998 to 2002:

The change in the number of phone subscribers is 233 - 109 = 124 million.

The change in the number of years is 2002 - 1998 = 4 years.

So, the average rate of cell phone growth from 1998 to 2002 is;

124/4 = 31 million phones/year.

(ii) from 2000 to 2002:

The change in the number of phone subscribers is 233 - 141 = 92 million.

The change in the number of years is 2002 - 2000 = 2 years.

So, the average rate of cell phone growth from 2000 to 2002 is;

92/2 = 46 million phones/year.

(iii) from 1998 to 2000:

The change in the number of phone subscribers is 141 - 109 = 32 million.

The change in the number of years is 2000 - 1998 = 2 years.So, the average rate of cell phone growth from 1998 to 2000 is;

32/2 = 16 million phones/year.

(b) Estimate the instantaneous rate of growth in 2000:

We are given the change in the number of phone subscribers from 1998 to 2000 as 32 million and from 2000 to 2002 as 92 million.

The change in the number of years is 2 years.

Therefore, the average rate of cell phone growth in 2000 is;

(32 + 92)/2 = 62 million phones/year.

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1) The equation 3y + 7x = 9 can be rearranged into slope-intercept form as y = (-7/3)x + 3. The slope is -7/3, the x-intercept is (3, 0), and the y-intercept is (0, 3).

2) Substituting x = -3 into the equation 3x - 4y = 6 gives -9 - 4y = 6. Solving for y, we find y = -3/2.

3) For the equation 2x + 3y = 4, we can fill in the table of values by substituting different x-values and solving for y: (-2, 4/3), (-1, 2/3).

4) When y = 5 in the equation 5x + 2y = 10, substituting the value gives 5x + 2(5) = 10. Solving for x, we get x = 0.

5) The equation 7x - 5y = 5 can be rearranged as y = (7/5)x - 1. The slope is 7/5, and the y-intercept is (0, -1).

1) To find the slope, we can rearrange the equation 3y + 7x = 9 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. By isolating y, we get y = (-7/3)x + 3, so the slope is -7/3. The x-intercept can be found by setting y = 0 and solving for x: 3(0) + 7x = 9, which gives x = 3/7. Therefore, the x-intercept is (3/7, 0). Similarly, the y-intercept is found by setting x = 0 and solving for y: 3y + 7(0) = 9, which gives y = 3/7. Hence, the y-intercept is (0, 3/7).

2) To find the value of y when x = -3 in the equation 3x - 4y = 6, we substitute x = -3 and solve for y. Substituting -3 for x, we have 3(-3) - 4y = 6, which simplifies to -9 - 4y = 6. Solving for y, we move -9 to the right side by adding 9 to both sides, resulting in -4y = 15. Dividing both sides by -4, we find y = -3/2.

3) To complete the table of values for the equation 2x + 3y = 4, we substitute different x-values and solve for y. For x = -2, we have 2(-2) + 3y = 4, which simplifies to -4 + 3y = 4. Solving for y, we add 4 to both sides, giving 3y = 8. Dividing by 3, we find y = 8/3, so the point is (-2, 8/3). Similarly, for x = -1, we have 2(-1) + 3y = 4, which simplifies to -2 + 3y = 4. Solving for y, we add 2 to both sides, resulting in 3y = 6. Dividing by 3, we find y = 2, so the point is (-1, 2).

4) To determine the value of x when y = 5 in the equation 5x + 2y = 10, we substitute y = 5 into the equation. Substituting 5 for y, we have 5x + 2(5) = 10, which simplifies to 5x + 10 = 10. Solving for x, we move 10 to the right side by subtracting 10 from both sides, giving 5x = 0. Dividing both sides by 5, we find x = 0.

5) The equation 7x - 5y = 5 can be rearranged into slope-intercept form. By isolating y, we get -5y = -7x + 5, and dividing by -5 yields y = (7/5)x - 1. Comparing this form to y = mx + b, we can determine that the slope is 7/5 and the y-intercept is (0, -1).

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Answer:

a. Someone has to buy 10 mini cupcakes per person who comes to their party. They also have to get 6 cookies. They end up having to but 150 total of both cupcakes and cookies combined. How many people came? (I'm not sure if that's completely right, that's just what came to mind.)

b. y=10x+25

c. I graphed it but it wouldn't let me add a picture. Sorry

Step-by-step explanation:

Slope- Intercept Form: y=mx+b

10x+6y=150

-10x -10x

6y=150-10x

6 6

y=25-10x

switch 25 and -10x so that it is in mx+b form

y=-10x+25

The word problem that matches the given equation is "A cupcake box price is $10 and the cookies box price is $6. But Joe only has $150". The slope-intercept form of the given equation is [tex]y = -3/5\;x+25[/tex].

Given :

Equation  --  [tex]10x+6y = 150[/tex]

a) A cupcake box price is $10 and the cookies box price is $6. But Joe only has $150. So, write the equation that matches the above situation.

b) The slope-intercept form is given below:

[tex]y = mx +c[/tex]

So, the given equation can be written in the above formate as:

[tex]y = -\dfrac{3}{5}x+25[/tex]

c) The following steps can be used in order to graph the given equation:

Step 1 - First, sketch the graph of [tex]y =x[/tex].

Step 2 - Now, multiply the x-axis in the above graph by a factor of -3/5. So, the graph obtained is the graph of [tex]y=-3/5 \;x[/tex].

Step 3 - Now, translate the above graph by a factor of 25 in the left direction. So, the graph obtained is the graph of [tex]y = -3/5\;x+25[/tex].

The graph of the given equation is attached below.

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The surface area of the prism in this problem is given as follows:

S = 636 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

The figure for this problem is composed as follows:

Hence the surface area for this problem is given as follows:

S = 2 x (14 x 6 + 14 x 7 + 6 x 7 + 4 x 6 + 4 x 7 + 6 x 7)

S = 636 m².

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Answer:

5x+26 because you add 5 each time

Based on the financial analysis, the recommended option would be to buy the townhouse with a 20% down payment if the house price remains unchanged or increases by 15%.

The financial analysis takes into account several factors. The cash flows considered include the monthly mortgage payments, maintenance fees, property taxes, closing costs, and potential proceeds from selling the house in the future. The analysis also considers the interest earned on savings and living expenses.

By comparing the costs and potential returns of renting versus buying, it becomes evident that purchasing the townhouse offers better financial prospects. The appreciation in the value of the home over time, along with the equity gained through mortgage payments, can outweigh the expenses associated with owning the property. Additionally, the down payment of 20% eliminates the need for default insurance and reduces the overall interest paid on the mortgage, making it a more favorable option.

Furthermore, owning a home provides the benefit of building equity and stability. It allows for personalization and potential improvements to the property. Although renting offers flexibility, the financial analysis suggests that the long-term benefits of homeownership outweigh the advantages of renting in this scenario.

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Answer: 15 crocodriles

Step-by-step explanation:

We know that the ratio is 4:3

This means that for each 4 hippos, we have 3 cocodriles.

We know that there are 20 hippos.

How many groups of 4 hippos we have?

n = 20/4 = 5

So we have 5 groups of 4 hippos, this means that we also have 5 groups of 3 crocodiles, then we have:

3*5 = 15 crocodiles