Which expression is equal to (f - g)(x)?

Answer: 5y(5y-7)

Step-by-step explanation: 25y^2 - 35 y

factor out 5y

5y(5y-7)

Answer:

[tex]\large\boxed{25y^2-35y=5y(5y-7)}[/tex]

Step-by-step explanation:

[tex]25y^2=(5y)(5y)\\\\35y=(5y)(7)\\\\25y^2-35y=(5y)(5y)-(5y)(7)=(5y)(5y-7)[/tex]

Answer:

The exponential regression equation for the data set is;

[tex]y=0.3258e^{0.1074x}[/tex]

Step-by-step explanation:

Exponential regression can easily be carried out in Ms. Excel. The first step is to enter the data in any two adjacent columns with the headers x and y in order to differentiate the response from the predictor variable.

The next step is to highlight the data, click the insert ribbon and choose the scatter-plot feature. This step will create an x, y scatter-plot for the data. The next step we click on the Add-Chart Element feature and add an exponential trend line to the scatter-plot while ensuring the Display Equation on chart is checked.

Ms. Excel provides the following exponential regression equation that models the data;

[tex]y=0.3258e^{0.1074x}[/tex]

Answer:

-1 12⁄13

Step-by-step explanation:

-13x = 25 [Divide by -13]

x = -1 12⁄13

13 is your divisor, which will be your denominator, and the numerator is your remainder. Since 13 goes into 25 ONCE, 1 gets multiplied by 13 to get 13, then deduct that from 25 to get your remainder of 12. This is where you start putting the pieces together as a mixed number. Then attach the negative because whenever you divide a positive by a negative, you get a negative:

-25⁄13 = -1 12⁄13

I am joyous to assist you anytime.

Answer:

4.71 ish centimeters

Step-by-step explanation:

The equation for a cylinder is [tex]\pi r^{2} h[/tex] , where h is the height and r is the radius. So plugging in the numbers you have Pi * (1)^2 *1.5.

4.71 centimeters is the answer

Answer:

To use the distance formula to find the length of a line

So you're answer would be false

Hope this Helps (:

You can use the Distance Formula to find the length of such a line. This formula is basically the Pythagorean Theorem, which you can see if you imagine the given line segment as the hypotenuse of a right triangle. By using a basic geometric formula, measuring lines on a coordinate path becomes a relatively easy task.

Answer:

True...

Let me know if that was right, but I'm almost a hundred percent sure it is...

The answers would most likely be A,C,and B from my calculations

The fraction of the cleaning solution that is vineger​ is 1/16

What fraction of the cleaning solution is vineger​

From the question, we have the following parameters that can be used in our computation:

Ratio = 1 to 15

This means that

Vinegar : Others =1 : 15

Where, we have

Total = 1 + 15

Total = 16

Also, we have

Vinegar = 1

Using the above as a guide, we have the following:

Fraction of vinegar = 1/16

Hence, the fraction of the cleaning solution that is vineger​ is 1/16

Question

A spray bottle holds up to 1 cup of the cleaning solution when the spray bottle is full what fraction of the cleaning solution is vineger​ if the ratio of vinegar to content is 1 to 15

Answer:

2

Step-by-step explanation:

The slope of a line is found by using

m = (y2-y1)/(x2-x1)

    (10-4)/(1--2)

    6/(1+2)

   6/3

    2

Answer:

4

Step-by-step explanation:

This equation is in a reversed form of slope-intercept, or y=mx+b. In this form, b is the y-intercept and in the equation b is equal to 4 and the slop is 2!

Answer: second option.

Step-by-step explanation:

By definition, a function is even when:

[tex]f(x) = f(-x)[/tex]

Then, knowing this, given the function [tex]f(x)=x^3 +5x+1[/tex] you can substitute [tex]-x[/tex] into this function:

[tex]f(-x)=(-x)^3 +5(-x)+1[/tex]

Now you need to simplify the function. Then you get:

 [tex]f(-x)=-x^3 -5x+1[/tex]

In this case, you can see that:

 [tex]f(x)\neq f(-x)[/tex]

Therefore, the function [tex]f(x)=x^3 +5x+1[/tex] is not even.

As you observed in the procedure above, the statement that best describes how to determine whether the given function is even is:

Determine is [tex](-x)^3 +5(-x)+1[/tex] is equivalent to [tex]x^3 +5x+1[/tex]

I'm pretty sure that the answer to this question is B

Answer:

Construct

Step-by-step explanation:

"Construction" in Geometry means to draw shapes, angles or lines accurately. These constructions use only compass, straightedge (i.e. ruler) and a pencil.

Answer:

800

Step-by-step explanation:

80*80=6400

6400/8=800

The answer is 800

800 hope this helps

Hope U get a A+

Answer:

f(2) = 3

Step-by-step explanation:

We are given:

f(0) = 3

and

f(n+1) = -f(n) + 5

We have to find the value of f(2). In order to find f(2) we first have to find f(1)

f(n + 1) = - f(n) + 5

Using n = 0, we get:

f(0 + 1) = - f(0) + 5

f(1) = -f(0) + 5                                                     Using the value of f(0), we get

f(1) = -3 + 5 = 2

Now using n = 1 in the function, we get:

f(1 + 1) = - f(1) + 5                                               Using the value of f(1), we get

f(2) = -2+ 5

f(2) = 3

Thus the value of f(2) will be 3

Answer:

y,n,y,y

Step-by-step explanation:

1*15=15

2*15=30

3*15=45

Answer:

(1,15) = yes

(1,30) = no

(2,30) = yes

(3,45) = yes

Step-by-step explanation:

The points on the graph:

(0,0)

(1,15)

(2,30)

(3,45)

(4,60)

(5,75)

(6,90)

(7,105)

(8,120)

(9,135)

(10,150)

(Hope you understand!)

Answer:

[tex]f'(-8)=\frac{9}{64}[/tex]

Step-by-step explanation:

Given the function

[tex]f(x)=\frac{-9}{x}[/tex]

We can rewrite it as

[tex]f(x)=-9x^{-1}[/tex]

Now we can apply the power rule

[tex]f'(x)=9x^{-2}[/tex]

Now we can rewrite it

[tex]f'(x)=\frac{9}{x^{2} }[/tex]

Now we can plug in x=-8

[tex]f'(-8)=\frac{9}{(-8)^{2} }\\f'(-8)=\frac{9}{64}[/tex]

The derivative of f(x) = -9/x at x = -8 is 9/64.

To find the derivative of f(x) = -9/x at x = -8, we can use the power rule for differentiation. The power rule states that if we have a function of the form f(x) = x^n, then the derivative of f(x) is given by f'(x) = n*x^(n-1).

In our case, the function is f(x) = -9/x. Rewriting it as f(x) = -9*x^(-1), we can apply the power rule and find that the derivative is f'(x) = (-1)*(-9)*x^(-1-1) = 9/x^2.

Substituting x = -8 into the derivative formula, we get f'(-8) = 9/(-8)^2 = 9/64.

Answer:

2

Step-by-step explanation:

We don't need to "solve" this to figure out the answer.

We need to recognize that the first equation given is that of an ellipse and the second equation given is that of a line.

A line and an ellipse in a coordinate system can have these outcomes:

1. They can intersect (touch) at 1 point

2. They can intersect at 2 points

3. Can't intersect at all

Thinking will make sense. So, the maximum number of possible solutions is 2.

Note: The number of points of intersection are the solutions as well

Answer:

[tex]\large\boxed{\text{The domain:}\ x\geq-3\to x\in[-3,\ \infty)}\\\boxed{\text{The range:}\ y\geq-1\to y\in[-1,\ \infty)}[/tex]

Step-by-step explanation:

[tex]y=\sqrt{x+3}-1\\\\The\ domain:\\\\x+3\geq0\qquad\text{subtract 3 from both sides}\\\\x\geq-3\to x\in[-3,\ \infty)\\\\The\ range:\\\\\sqrt{x+3}\geq0\qquad\text{subtract 1 from both sides}\\\\\sqrt{x+3}-1\geq-1\\\\y\geq-1\to y\in[-1,\ \infty)[/tex]

Answer:

I believe the answer is (n-5)

Step-by-step explanation: If you look at the other inputs, you can see that you subtract 5 to get the output. For input 6, you would subtract 5 (6-5=1) and you would receive the output, 1. This is shown to be true for the other two inputs. I hope this helps you.

anyhow, notice the pattern, the output is always the input minus 5, thus n - 5.

Answer:

Step-by-step explanation:

If ΔLMN ≅ ΔXYZ, then corresponding angles and corresponding segments are congruent:

∠L ≅ ∠X

∠M ≅ ∠Y

∠N ≅ ∠Z

and

LM ≅ XY

MN ≅ YZ

LN ≅ XZ

Answer:

Line MN.

Step-by-step explanation:

As you can see, YZ is in fact the hypotenuse of the other triangle.

Using this information, YZ should be congruent to the other hypotenuse, which in this case is MN.

Therefore, YZ=MN.

b(2 ×10)+(3*1)+(0×1b)+(1×100)+(4×1000)

Final answer:

The number 23.014 in expanded form is (2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001), illustrating the value of each digit according to its place value.

Explanation:

Writing the number 23.014 in expanded form means expressing each digit according to its place value. Expanded form represents a number by showing the value of each digit. For the decimal number 23.014, we look at the place value of each digit: the digit in the tens place, the ones place, the tenths place (one place after the decimal), the hundredths place (two places after the decimal), and so on.

The correct expanded form for 23.014 is:
<(2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001)

This means:

The '2' is in the tens place, so it represents 2 x 10, or 20.

The '3' is in the ones place, so it represents 3 x 1, or 3.

The '0' is in the tenths place, but since it's 0, it adds no value (0 x 0.1 = 0).

The '1' is in the hundredths place, so it represents 1 x 0.01, or 0.01.

Finally, the '4' is in the thousandths place, so it represents 4 x 0.001, or 0.004.

Therefore, 23.014 written in expanded form is (2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001).

Answer:

90 Degrees

Step-by-step explanation:

The find the measure of that angle, find the measure of it's intercepted arc, which is already given as 180. When you find the measure of the intercepted arc, to find the measure of the angle/ divide the measure of the intercepted arc by 2, since the angle is on the circle and boom you get 90 degrees

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

First find the slope of the line containing points (5,4) and (-7,9).  To find the slope use the formula [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex].  Putting those values in, you have

[tex]\frac{9-4}{-7-5}[/tex]

Simplify

[tex]\frac{5}{-12}[/tex]

[tex]-\frac{5}{12}[/tex]

Then, to find the slope of the line perpendicular to that, find the negative reciprocal.  

[tex]\frac{12}{5}[/tex]

Isolate “y” in one of the equations, then substitute it in the other equation. After you find x, put it in the isolated equation and you’ll find y value.

The value of x = 1 and y = 0.

Consider the given system of equation

4x - 2y = 4  ........(1)

6x - 4y = 6 ........(2)

Solve the system algebraically,

By using the elimination method,

Multiply equation (1) by 2, and we get,

(1) ⇒ 8x - 4y = 8 ............(3)

Subtract equation (2) from (3), we get,

8x - 4y - (6x - 4y) = 8 - 6

Simplifying the above equation, we get

8x - 4y - 6x + 4y = 2

8x - 6x = 2

⇒ x = 1

Substitute x = 1 in (1) and solve for y, we get,

⇒ 4x - 2y = 4

⇒ 4 (1) - 2y = 4

⇒ 2y = 4 - 4

⇒ 2y = 0

⇒ y = 0

Therefore, the value of x = 1 and y = 0.

To learn more about algebraic expression

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By graphing is the solution to every equation

[tex]\bf \sqrt{56}-\sqrt{14}+\sqrt{126}~~ \begin{cases} 56=&2\cdot 2\cdot 2\cdot 7\\ &2^2\cdot 14\\ 126=&2\cdot 3\cdot 3\cdot 7\\ &2\cdot 3^2\cdot 7\\ &3^2\cdot 14 \end{cases}\implies \sqrt{2^2\cdot 14}-\sqrt{14}+\sqrt{3^2\cdot 14} \\\\\\ \stackrel{\textit{let's add the like-terms}}{2\sqrt{14}-\sqrt{14}+3\sqrt{14}}\implies 4\sqrt{14}[/tex]

Answer:

Step-by-step explanation:

sqrt(56) = sqrt(4*14) = 2*sqrt(14)

sqrt(126)= sqrt(9*14) = 3*sqrt(14)

2*sqrt(14) - sqrt(14) + 3*sqrt(14)

5sqrt(14) - sqrt(14)

4*sqrt(14)

====================

The second one is not clear enough.

Answer:

A = 30m + 35

Step-by-step explanation:

let A be the amount saved and m represent month

Note the difference in the amount saved is constant, that is

185 - 155 = 155 - 125 = 125 - 95 = 95 - 65 = 30

We can express this as

A = 30m + c

To find c use any pair from the table and substitute into the equation

using (3, 125) then

125 = (3 × 30) + c

125 = 90 + c ( subtract 90 from both sides )

c = 125 - 90 = 35, thus

A = 30m + 35 ← linear relationship

As a check

When m = 4, A should be 155

A = (4 × 30) + 35 = 120 + 35 = 155 ← correct

Linear function representing the table is

A(m) = 30m + 35

Answer:

3

Step-by-step explanation:

Find the prime factorization of 81, which is 3 x 3 x 3 x 3. Next, do the same with 48, which is 2 x 2 x 2 x 2 x 3. Lastly, to find the gcf, multiply the prime factors that are common to both numbers. The GCF is 3

The required greatest common factor of 48 and 81 is 3.

To find the greatest common factor (GCF) of 48 and 81, we need to determine the largest number that evenly divides both 48 and 81.

We can start by listing the factors of each number:

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 81: 1, 3, 9, 27, 81

From the lists, we can see that the common factors of 48 and 81 are 1 and 3. However, we are looking for the greatest common factor, which in this case is 3.

Therefore, the greatest common factor of 48 and 81 is 3.

Learn more about the greatest common factor here:

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a^2 + b^2 = c^2(hypotenuse)

a=20^2=400

b=21^2=441

c^2=400+441

c^2=841

take the square root of 841

answer is D

the answer is (D) 841 ( The value of C is equal to 841)

Answer:

62

Step-by-step explanation:

2* 2*3 + 5*10 = 12 + 50 =62

Answer:

The answer is 62.hope this helps.☻♥