What is the equation of the line that passes through the points (2, –1) and (6, 1)? A.y=1/2x -2 B.y=2x-5 C.y=-1/2x-1 D. y=-2x-3

The answer is:

[tex]f(3)=|x|+(-2x^{2})=-15[/tex]

Evaluating a function means replacing the variable with the given value (3 for this case).

To evaluate the function, we need to remember that the absolute value guarantees a possitive value, for example:

[tex]|-3|=3\\|-4|=4[/tex]

So, we are given the function:

[tex]f(x)=|x|+(-2x^{2})[/tex]

Then, evaluating we have:

[tex]f(3)=|3|+(-2*(3)^{2})=3+(-2*9)=3-18=-15[/tex]

Hence, the answer is:

[tex]f(3)=|x|+(-2x^{2})=-15[/tex]

Have a nice day!

Answer: $82,975.68 APEX

Answer: I believe the last numbers are $3.40 and $2.75

Step-by-step explanation:

5.35 minus 4.70 equals 0.65 and that is continually going so you should subtract each number by 0.65 to get the next. If that makes sense

Final answer:

The cost for Mrs. Beusse to buy 100 personalized pencils is $405.00.

Explanation:

According to the chart, the cost of pencils depends on the number of pencils being purchased. For 1-20 pencils, the cost is $5.35 each. For 21-40 pencils, the cost is $4.70 each. For 41-60 pencils, the cost is $4.05 each. Since Mrs. Beusse needs to buy 100 personalized pencils, we need to determine which price range this falls into. 100 pencils falls within the range of 81-100, so the cost per pencil will be $4.05.

Therefore, the total cost for 100 personalized pencils will be $4.05 x 100 = $405.00.

Answer: r = -10

Step-by-step explanation:

Move variable to the left , collect like terms, then divide both sides by 2.

Answer:

r = -10

Step-by-step explanation:

Your equation is 6r = 4r - 20

To solve this equation, find out r's value.

To do that, you must get r alone on one side of the equation

6r = 4r - 20

[Subtract 4r from both sides]

2r = -20

[Now divide both sides by 2]

r = -10

So, the answer to this equation is r = -10

I hope this helps! :)

Answer:

B. 1.81

Step-by-step explanation:

Simply divide [tex]\frac{6.98}{3.86}[/tex] to get [tex]1.8082...[/tex].

This is closer to [tex]1.81[/tex] than it is to [tex]1.80[/tex], so that is how it is rounded.

Then, you have your answer.

Everywhere you see x in the equation replace it with 1 like so...

3(1) + y = 5

3 + y = 5

Finish isolating y. To do this first subtract 3 to both sides (what you do on one side you must do to the other). Since 3 is being added, subtraction (the opposite of addition) will cancel 3 out (make it zero) from the left side and bring it over to the right side.

3 - 3 + y = 5 - 3

0 + y = 2

When x is 1 then y is 2

Check:

3(1) + 2 = 5

3 + 2 = 5

5 = 5

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

y=2

Step-by-step explanation:

3x + y =5

3(1) + y = 5

3 + y = 5

5-3= y which is 2

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = [tex]\frac{4}{5}[/tex] and (a, b) = (9, - 1), hence

y - (- 1) = [tex]\frac{4}{5}[/tex](x - 9), that is

y + 1 = [tex]\frac{4}{5}[/tex](x - 9) ← in point- slope form

Answer:

the answer is that D is false

Step-by-step explanation:

the relative frequency chart shows that 0.35 of her total freshman and sophomores take biology (Bottom left corner of the chart).

Answer: D

Step-by-step explanation: Apex said so

Answer:

x = 6

Step-by-step explanation:

Since the triangle is right use the sine ratio to solve for x, that is

sin30° = [tex]\frac{AB}{AC }[/tex] = [tex]\frac{x}{12}[/tex]

Multiply both sides by 12

12 × sin30° = x, hence

x = 6

Answer: THIRD OPTION.

Step-by-step explanation:

Given the trapezoid in the figure, you know the coordinates of  two points:

(0,c) and (a,b)

You can observe that the point (a,b) and the point P have the same x-coordinate, because both points are "a" units from the origin.

Then, the x-coordinate of P is:

[tex]x=a[/tex]

Now, in order to find the y-coordinate of the point P, you need to remember that when the line touches the x-axis, the value of "y" is equal to zero. Therefore, the y-coordinates of the point P is:

[tex]y=0[/tex]

Then the answer is:

[tex](a,0)[/tex]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]3y+18 > 5x[/tex]

The solution of the inequality is the shaded area above the dashed line

The equation of the dashed line is  [tex]3y+18=5x[/tex]

The slope of the dashed line is positive (m=5/3)

The x-intercept of the dashed line is (3.6,0) (value of x when y is zero)

The y-intercept of the dashed line is (0,-6) (value of y when x is zero)

therefore

using a graphing tool

The graph in the attached figure

Answer: 14.9

I have to write this in order to have enough characters.

7.45 divided by 0.5 equals 14.9. This is calculated by converting the divisor 0.5 to a whole number and doing the same operation on the dividend, then performing the division.

Dividing Decimals

To find what 7.45 divided by 0.5 is, one approach is to think of 0.5 as one-half, so you are essentially finding out how many halves there are in 7.45. Another way to approach this is to manipulate the numbers to make the division easier. Since 0.5 is equivalent to the fraction 1/2, dividing by 0.5 is the same as multiplying by 2 (which is the reciprocal of 0.5). Here are the steps to perform the division:

Therefore, 7.45 divided by 0.5 equals 14.9.

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Answer:

Your answer would be A

Step-by-step explanation:

First you gotta reduce that fraction. Then square root the 9 (which is 3) and as well as radicalize x^5, which is x^2/x

Answer:

FIRST OPTION.

Step-by-step explanation:

Given the expression [tex]\sqrt{\frac{2x^5}{18}}[/tex], you can find an equivalent expression simplifying.

The first step is to descompose 18 into its prime factors:

[tex]18=2*3*3=2*3^2[/tex]

Remember the Product of powers property, which states that:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

Then you can rewrite the expression in this form:

 [tex]\sqrt{\frac{2x^4x}{2*3^2}[/tex]

Knowing that [tex]\sqrt[n]{a^n}=a[/tex], you get the following equivalent expression:

[tex]\sqrt{\frac{2x^4x}{2*3^2}[/tex]

[tex]\frac{x^2}{3}\sqrt{\frac{2x}{2}}[/tex]

[tex]\frac{x^2\sqrt{x}}{3}[/tex]

Answer:

0

Step-by-step explanation:

We find the determinant of a matrix by the method below. If we have a matrix:

[tex]\left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]

The determinant is [tex]ad-bc[/tex]

Now, using cramer's rule, we find x-value by the formula:

[tex]x=\frac{D_x}{D}[/tex]

Where D is the determinant of the original problem and [tex]D_x[/tex] is the determinant of the x-value matrix. How do we get those?

To get original matrix and thus D, we set up the matrix as the coefficients of x and y (s) of both the equations and to get matrix of x-value and thus [tex]D_x[/tex], we replace the x values of the matrix with the numbers in the right hand side of the 2 equations. We show this below:

To get D:

[tex]\left[\begin{array}{cc}3&4\\1&-6\end{array}\right] \\D=(3)(-6)-(1)(4)=-18-4=-22[/tex]

To get [tex]D_x[/tex]:

[tex]\left[\begin{array}{cc}12&4\\-18&-6\end{array}\right] \\D_x=(12)(-6)-(-18)(4)=0[/tex]

Putting into the formula, we get:

[tex]x=\frac{D_x}{D}=\frac{0}{-22}=0[/tex]

Thus, the value of x is 0

Answer:

-x

Step-by-step explanation:

You can distribute:

(x + 3)(x – 4)

x (x + 3) – 4(x + 3)

x² + 3x – 4x – 12

x² – x – 12

Or you can use FOIL (first, outer, inner, last).

(x + 3)(x – 4)

x² – 4x + 3x – 12

x² – x – 12

The triangles cross the center of the circle CAD is the same as CBD.

The answer is B) 40 degrees.

Answer:

90

Step-by-step explanation:

The formula for right triangular prisms is simple; 1/2 × a × b × c. So simply plug in your numbers (doesn't matter the order you plug in).

1/2 × 12 × 5 × 3 = 90

Answer:90

Step-by-step explanation:

Answer:

x > 4

Step-by-step explanation:

X-3>1

Add 3 to each side

X-3+3>1+3

x > 4

Hello :D

Answer:

[tex]\boxed{x>4}\checkmark[/tex]

Step-by-step explanation:

First, you add by 3 from both sides of an equation.

[tex]x-3+3>1+3[/tex]

Then, add the numbers from left to right.

[tex]1+3=4[/tex]

[tex]\boxed{x>4}[/tex], is the correct answer.

Hope this helps you!

Have a wonderful day! :D

-Charlie

Answer:

a=3

b=12

c=13

Step-by-step explanation:

(see attached)

The value of 'a' is 3, 'b' is 12, and 'c' is 13 and this can be determined by using the arithmetic operations.

Given :

Expression -  [tex]\dfrac{2^5\times 8^4}{16}=\dfrac{2^5\times (2^a)^4}{2^4}=\dfrac{2^5\times 2^b}{2^4}=2^c[/tex]

The value of a, b, and c can be determined by following the below calculations:

[tex]\dfrac{2^5\times 8^4}{16}=\dfrac{2^5\times (2^a)^4}{2^4}[/tex]

Further, simplify the above expression:

[tex]\dfrac{2^5\times (2^3)^4}{2^5}=\dfrac{2^5\times (2^a)^{4}}{2^4}[/tex]

the above equation holds good when the value of 'a' is 3.

[tex]\dfrac{2^5\times 8^4}{2^4}=\dfrac{2^5\times 2^b}{2^4}[/tex]

Further, simplify the above expression:

[tex]\dfrac{2^5\times 2^{12}}{2^5}=\dfrac{2^5\times 2^b}{2^4}[/tex]

the above equation holds good when the value of 'b' is 12.

[tex]\dfrac{2^5\times 2^{12}}{2^5}=2^c[/tex]

Further, simplify the above expression.

[tex]\dfrac{2^{17}}{2^4}=2^c[/tex]

[tex]2^{13}=2^c[/tex]

the above equation holds good when the value of 'c' is 13.

For more information, refer to the link given below:

https://brainly.com/question/20595275

Step-by-step explanation:

y = x - 2

x + y = 12

Substitute the first expression for y into the second equation.

x + (x - 2) = 12

2x - 2 = 12

2x = 14

x = 7

Now plug into either equation to find y.

y = 7 - 2

y = 5

So the solution is (7, 5).

Answer:

Step-by-step explanation:

Given  two functions are  one is quadratic function and other is exponential function.

From the given graph of quadratic function and exponential function we can see that the graph of exponential function intersect y -axis at (0,1) and can never be zero and the graph of quadratic function  intersect axis at origin (0,0).

From the given graph we can see that  graph of exponential function increasing greater than an increasing quadratic function untill their graph intersect.

From the given graph we can see that  the graph of an increasing quadratic function eventually exceed after intersection the  graph of an  increasing exponential function.

In option

B. t(x) , because an increasing quadratic function will always exceed an increasing exponential function untill their graphs intersect. Therefore, it is false.We can see from given graph.

C. p(x) , because an increasing quadratic function will eventually exceed an increasing exponential function . It is false , because after intersection   not eventually ,the graph of an increasing quadratic function  will exceed an increasing exponential function .

D. t(x) , because an increasing exponential  function will eventually exceed an increasing quadratic function . It is false , we can see from given graphs of two functions.

Answer:

5n=1125

n=225 students in the school.

Answer:

The answer is 225.

Step-by-step explanation:

The explanation is in the top.

Answer:

4  1/4

Step-by-step explanation:

Complementary angles add up to 90 degrees.

Thus if 12q - 9 and 8q + 14 are complementary,

12q - 9 + 8q + 14 = 90.

Combining like terms, we get:

20q + 5 = 90

20q = 85

Thus, q = 85/20, or 17/4, or 4  1/4

Answer:

42 and 48

Step-by-step explanation:

∵ Two angles are complementary to each other if their sum is 90°,

Given,

12q - 9 and 8q + 14 are complementary angles,

By the above statement,

12q - 9 + 8q + 14 = 90

Combine like terms,

20q + 5 = 90

Subtract both sides by 5,

20q = 85

Divide both sides by 20,

q = 4.25,

Thus, the angles are,

12(4.25) - 9 and 8(4.25) + 14

⇒ 42 and 48

Logarithm functions are the inverses of exponential function.In the given graphs the graph number 2 is plotted with the above points. Hence the option 2 is correct.

The function given in the question is,

[tex]f(x)=log_3x[/tex]

Logarithm functions are the inverses of exponential function.

To plot the graph of the given function we have to find the asymptotes;

vertical asymptote  [tex]x=0[/tex]

Find the points at [tex]x=1[/tex]

[tex]f(0)=log_3(0)[/tex]

[tex]f(0)=0[/tex]

Find the points at [tex]x=3[/tex]

[tex]f(3)=log_3(3)[/tex]

[tex]f(0)=1[/tex]

Find the points at [tex]x=9[/tex]

[tex]f(9)=log_3(9)[/tex]

[tex]f(9)=2[/tex]

Hence, the points for the given function are (1,0) (3,1) and (9,2).

In the given graphs the graph number 2 is plotted with the above points. Hence the option 2 is correct.

Learn more about the Logarithm functions, here;

https://brainly.com/question/13473114

multiply the percentage of the corn by 360 degrees

15% × 360° = 54°

Answer:

54°

Step-by-step explanation:

In the given pie chart which shows variation of vegetable.

Pie chart is a circular. Complete angle of circular is 360°.

100% of pie chart is equal to 360° of central angle.

Here, we need to find the central angle of corn.

In graph, corn is only 15%

 100% of central angle = 360°

   1% of central angle [tex]=\dfrac{360^\circ}{100}[/tex]

15% of central angle  [tex]=\dfrac{360^\circ}{100}\times 15[/tex]

                                  [tex]=54^\circ[/tex]

Hence, The central angle of corn is 54°

Answer:

Step-by-step explanation:

You need an x value to determine what number to multiply that will give you three numbers that are in the ratio of 3:1:4

Let the number = x

Set the equation up as 3x + x + 4x = 500

3x + x + 4x = 500           Combine the left

8x = 500                         Divide both sides by 8

x = 500/8                        Divide by 8.  

x = 62.5

So 3x = 3*62.5 = 187.5

1x       = 1 * 62.5 =  62.5

4x      = 4 * 62.5 = 250    The total should be 500

Answer:

{187.50, 62.50, 250}

Step-by-step explanation:

Add up the numbers in the ratio:  Add up 3, 1 and 4.  We get 8.

Then we divide up 500 into eight parts, each 62.5.

The ratio we are to follow is 3:1:4.

3 parts of 62.5 each comes out to 187.5;

1 part of 62.5 each comes out to      62.5; and

4 parts of 62.5 each comes out to 250.

If we have done this correctly, these 3 results add up to 500:

187.50

 62.50

250

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

   500

So, 500 divided up in the ratio 3:1:4 is {187.50, 62.50, 250}

Answer:

WoodChuck-Prairie Dog

WoodChuck-Beaver

WoodChuck-Chipmunk

PrairieDog-Beaver

PrairieDog-Chipmunk

Beaver-Chipmunk

Answer:

A chipmunk and a beaver