What are the roots of the equation? 0=x4−x3+4x2−6x−12 Select all correct answers. −6 −2 −1 1 2 6 i√6 −i√6 √6 −√6

Answer: The answer is 7 ( x + 3 ).

Step-by-step explanation:

So we are given in word-form this equation:

seven times the sum of a number and three

We can rewrite this as:

7 times ( number + 3)

This number can be rewritten as a variable. Take any variable of your pick. I'll use x because that's one of the most used variables.

7 ( x + 3 )

There you go! Finished.

Answer:

[tex]1.073\times 10^{19}\ \text{ways}[/tex]

Step-by-step explanation:

It is given that,

Total no of candy are 84

She want to divide the candy up evenly and place into bags but doesn’t won’t more than 20 bags.

We need to find the possible ways she can fill the bag. It mean that this problem is based on the concept of combination.

[tex]^{84}C_{20}=\dfrac{84!}{20!(84-20)!}\\\\=\dfrac{84!}{20!64!}\\\\=1.073\times 10^\\{19}[/tex]

There are [tex]1.073\times 10^{19}\ \text{ways}[/tex].

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So the "back" of the arrow is on/above -20.

The arrow points to -12.

You added something to -20 to get to -12.

So the first number is -20. You added ? to get -12. -12 is the last number / the answer to the equation.

So the equation from what you have so far is -20 + ? = -12

You need to isolate the ? so that you know what it is.

So to get rid of the -20 (make it 0), you have to add 20. -20 plus 20 equals 0, which basically means it is gone. You also have to add 20 to -12. 20 plus -12 equals 8.

Now the equation is ? = 8.

So you know that the second number is 8.

The equation makes sense; -20 + 8 = -12.

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Answer:

See graph attached

Step-by-step explanation:

Our life is simple because the equation [tex]y=2x+2[/tex] is already put in slope-intercept form.

This form is called slope-intercept because it states exactly what it's called: The number multiplied by [tex]x[/tex] (the constant of proportionality, in this case, 2) is the slope - and the y-intercept is what is being added to the equation (in this case, also 2, since there is a +2 at the end.)

With this info, we can start graphing.

We know that the y-intercept is 2, meaning one point will be (0,2).

We also know that the slope is 2, meaning every time x increases by 1, y will increase by 2. So the next point is (1, 4), the next is (2, 6), and so on.

Hope this helped!

The graph of the function y = 2x + 2 is added as an attachment

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

y = 2x + 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

Read more about functions at

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Answer:

The correct answer would be 200, but in your case 166 is the closest

Step-by-step explanation:

divide 1000 by 5

The total number of bags needed are 200 bags.

We have Cole who has purchased 1,000 pounds of jellybeans. Each bag contains 5 pounds of jellybeans.

We have to determine how many party bags can make 1,000 pounds of jellybeans.

The total number of packets(n) required will be -

[tex]$n=\frac{x}{y}[/tex]

According to the question, we have -

Amount of jelly beans in a bag - 5 pounds.

Amount of jelly beans needed - 1000 pounds.

Assume that the number of bags needed are n. Then -

n = [tex]\frac{1000}{5}[/tex] = 200 Bags.

Hence, The total number of bags needed are 200 bags.

To solve more questions on Quantity estimation, visit the link below-

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Answer: LOL

Step-by-step explanation:

Answer:

K-273=C

Step-by-step explanation:

K=C+273

Subtract 273 from each side

K-273=C+273-273

K-273=C

Answer:

A

Step-by-step explanation:

12x-8/4 divide

12x/4 = 3x

-8/4 = -2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{3x - 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{12x - 8}{4} }[/tex]

Factor out 4 from the expression

⇒[tex] \sf{ \frac{4(3x - 2)}{4} }[/tex]

Reduce the fraction with 4

⇒[tex] \sf{3x - 2}[/tex]

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

To find the inverse of g(x) equate g(x) to y

That's

Next interchange the terms

x becomes y and y becomes x

We have

Next make y the subject

Multiply both sides by - 1

That's

Send 3 to the right side of the equation

That's

[tex] {y}^{5} = - x - 3[/tex]

Find the 5th root of both sides

That's

We have the final answer as

Hope this helps you

A.) linear,weak

just got it right on edge 2020

The best describes the association of this scatterplot will be linear, and weak. Then the correct option is A.

Scatter plots are graphs that show how two variables in a data collection relate to one another. On a two-dimensional plane or in a Cartesian system, it represents data points.

In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are created to plot data points on both horizontal and vertical axis.

A set of dots plotted on an azimuth and elevation axis is known as a scatter plot. Given that they can demonstrate the degree of connection, if any, in between values of measured quantities or events, scatter plots are crucial in statisticians (called variables).

The best describes the association of this scatterplot will be linear, and weak. Then the correct option is A.

More about the scatter plot link is given below.

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Answer:

[tex]77\div.77\cdot1[/tex]

Step-by-step explanation:

What we're basically looking for here are ways to get 100 using these numbers.

My immediate first thought was "can we divide the 7's by some 7's to get 100?"

I know that [tex]7 \div .7=10[/tex], so I had the idea to make it [tex]77 \div .77 = 100[/tex]. This means that we can use the number 7 four times in the equation [tex]77 \div .77=100[/tex].

However, we're still missing a 1 that we need to include. This is easy, we can just multiply [tex]77 \div .77[/tex] by 1.

So in conclusion, we get [tex]77 \div .77\cdot1[/tex]

Hope this helped!

Answer:

177 - 77 = 100

Step-by-step explanation:

there are basically 4 7s

77-77 = 00

177 - 77 = 100

hope this helps （＾▽＾）

Answer:

the reciprocal of the slope of f(x) is the same as the slope of f⁻¹(x)

Step-by-step explanation:

To find the equation of a line given two points, we use the formula:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

The standard equation of a line is given by:

y = mx + c; where m is the slope of the line and c is the intercept on the y axis

For the function f(x), we have to select two points, let us select (-6, 9) and (0, 27)

Hence the equation of the line f(x) is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-9=\frac{27-9}{0-(-6)}(x-(-6))\\ \\y-9=\frac{18}{6} (x+6)\\\\y-9=3(x+6)\\\\y-9=3x+18\\\\y=3x+18+9\\\\y=3x+27\\[/tex]

Comparing y = 3x + 27 with y = mx + c, we can see that the slope (m) = 3 and the y intercept is 27

For the inverse function f⁻¹(x), let us use the points (-3, -10) and (0, 9)

Hence the equation of the line f⁻¹((x) is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-10)=\frac{-9-(-10)}{0-(-3)}(x-(-3))\\ \\y+10=\frac{1}{3} (x+3)\\\\y+10=\frac{1}{3}x+1\\\\y=\frac{1}{3}x+1-10\\\\y=\frac{1}{3}x-9\\[/tex]

To find the x intercept put y = 0

0 = (1/3)x - 9

(1/3)x = 9

x = 27

Comparing y = (1/3)x - 9 with y = mx + c, we can see that the slope (m) = 1/3 and the y intercept is -9

Hence, the reciprocal of the slope of f(x) is the same as the slope of f⁻¹(x) (i.e reciprocal of 3 = 1/3)

Answer: A

The reciprocal of the slope of f(x) is the same as the slope of f–1(x).

Step-by-step explanation:

Answer:

  49

Step-by-step explanation:

  2 quarters

  1 quarter, 2 dimes, 1 nickel

  1 quarter, 1 dime, 3 nickels

  1 quarter, 5 nickels

  5 dimes

  4 dimes, 2 nickels

  3 dimes, 4 nickels

  2 dimes, 6 nickels

  1 dime, 8 nickels

  10 nickels

10 ways without pennies. Pennies can be substituted for any quarter, dime, or nickel, so ...

  8 ways to have 5 pennies

  7 ways to have 10 pennies

  6 ways to have 15 pennies

  5 ways to have 20 pennies

  4 ways to have 25 pennies

  3 ways to have 30 pennies

  2 ways to have 35 pennies

  2 ways to have 40 pennies

  1 way to have 45 pennies

  1 way to have 50 pennies

For an additional 39 ways with pennies.

There are a total of 10 +39 = 49 ways to make change for 50¢.

Answer:

c) (0.40)(0.35)x + (0.45)(0.64)y = 1200

Step-by-step explanation:

Profit on each tulip bulb is:

Profit on x amount of tulip bulbs:

Similarly, profit on y amount of daffodil bulbs is:

Since the target is $1200, the required equation is:

Correct answer option is C)

Answer:

Hey there!

1/10 of 10 is 1.

Your answer is 1.

Hope this helps :)

Answer:

1

Step-by-step explanation:

Simplify the following:

10/10

Hint: | Divide 10 by 10.

10/10 = (10×1)/10 = 1:

Answer: 1

Answer:

D

Step-by-step explanation:

Answer:

$9000 at 4$

and

$10000 at 8%

Step-by-step explanation:

Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.

Recall the formula for interest as : [tex]I= P * R *t[/tex]

where I is the interest, R is the annual rate of interest and t is the number of years.

Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x   and   I2 = y (0.08) (1) = 0.08 y

Total Interest = Interest (from the 4% account) + Interest (from the 8% account)

Total Interest = $1160 = 0.04 x +  0.08 y

we also know that the total invested (x + y) adds to $19,000, that is:

$19,000 = x + y

Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;

y = 19000 - x

1160 = 0.04 x + 0.08 (19000 - x)

1160 = 0.04 x + 1520 - 0.08 x

0.08 x - 0.04 x = 1520 - 1160

0.04 x = 360

x = 360/0.04 = $9000

Then the other investment was : y = $19000 - $9000 = $10000

Answer: The answer is 148 square feet.

Step-by-step explanation:

So if we are given the information to the area of the composite figure, we just first have to find the area of the smaller shapes and then add them all together to achieve the total.

1. The larger rectangle is a 10 by 14 rectangle.

2. The smaller rectangle is a 1 by 8 rectangle.

How did I get around to 8 feet?

Subtract 3 and 3 from 14, and you'll get 8 for the side.

Now just find the areas of each of the rectangles:

1. 10 times 14 = 140

2. 1 times 8 = 8

Now add them together:

140 + 8 = 148

The answer is 148 square feet.

Answer: 24p ² r + 20 a s - 5 ar / ar

Step-by-step explanation:

Answer: x=6 y=3 z=2

Step-by-step explanation: The question is very vast so im guessing that its just finding 3 whole numbers that can equal the same ammount being multipied by 2 and 3. I chose 6. But theres many others. The answer should be correct because if we replace the letters with the numbers i put in the answer it should look like this: 6=2•3=3•2

When we do simplify this we should get 6=6=6 which is true.

Again you can use different numbers for example 12 as X. Then you need to divide 12 by whats behind the Y. So 12÷2 is 6. So Y is equal to 6. To find Z all you need to do is follow the same steps as Y. Find the number behind Z (3) and divide that into 12. So it would be 12÷3. And if you do the math right it should look like this: X=12, Y=6, Z= 4. And when you imput the numbers to thier corresponding letter it should look like this 12=2(6)=3(4) which simplified looks like 12=12=12 which is true.

Answer:

23.5

Step-by-step explanation:

Complete Question

Let R unrestricted and R restricted be 0.4366 and 0.4149 respectively. The difference between the 9) unrestricted and the restricted model is that you have imposed two restrictions. There are 420 observations. The F-statistic in this case is:_______

A) 10.34

B) 4.61

C) 7.71

D) 8.01

Answer:

The  correct option is  D

Step-by-step explanation:

From the question we are told that

    The  [tex]R^2_{unrestricted } = 0.4366[/tex]

     The  [tex]R^2_{restricted } = 0.4149[/tex]

       The  number of observation is  n=  420

Generally the number of independent variables is  k([tex]R^2_{unrestricted } , \ n \ \ and \ R^2_{restricted }[/tex])  =  3

Then the number of  restriction is  (i.e [tex]R^2_{unrestricted } \ and \ R^2_{restricted }[/tex]) is  q =  2

  Generally the F-statistics is mathematically represented as

                [tex]F = \frac{\frac{R^2_{unrestricted } - R^2_{restricted}}{q} }{ \frac{(1- R^2_{unrestricted }) }{n-k-1} }[/tex]

substituting values

                [tex]F = \frac{\frac{0.4366 -0.4149}{2} }{ \frac{(1-0.4366) }{420-3-1} }[/tex]      

                 [tex]F = 8.01[/tex]  

Answer:

See below.

Step-by-step explanation:

Triangle:

The area for a triangle is given by the formula:

[tex]A=\frac{1}{2}bh[/tex]

Where b is the length of the base and h is the vertical height.

We can see that the base length is (2x+4) and the height is (x+3). So, the expression for the area would be:

[tex]\frac{1}{2}(2x+4)(x+3)[/tex]

Rectangle:

The perimeter of a rectangle is given by the formula:

[tex]P=2l+2w[/tex]

Where l is the length and w is the width.

We can see that the length is 2x-1 and the width is 3x+2. Thus, the perimeter is:

[tex]2(2x-1)+2(3x+2)[/tex]

For the area, the formula is:

[tex]A=lw[/tex]

So, the expression for area would be:

[tex](2x-1)(3x+2)[/tex]

Rectangular Prism:

The volume for a rectangular prism is given by the formula:

[tex]V=lwh[/tex]

The length is (x+2), the width is (x), and the height is (2x+1). Thus:

[tex]x(x+2)(2x+1)[/tex]

Answer:

12.5

Step-by-step explanation:

0.5+(-3)×(-2)×2

=0.5+12

=12.5

Value of equation, k + np² is -11.5

Value of equation = k + np²

And

k = 0.5

n = -3

p = -2

Value of equation

Value of equation = k + np²

And

k = 0.5

n = -3

p = -2

⇒ k + np²

⇒ 0.5 + (-3)(-2)²

⇒ 0.5 + (-3)(4)

⇒ 0.5 - 12

⇒ -11.5

Value of equation, k + np² is -11.5

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Answer:

0.285

Step-by-step explanation:

To do this, divide 28 1/2% by 100%, obtaining:

28.5%

---------- = 0.285

100%

Answer:

97°

Step-by-step explanation:

The angles of any quadrilateral will add up to 360°. Since we already know 3 out of the 4 angles (the bottom two are both 90°), we can easily find the measure of x.

[tex]90 + 90 + 83 +x = 360[/tex]

[tex]263 + x = 360\\\\x = 97[/tex]

Hope this helped!

Answer:

Value of x = 97 degrees

Step-by-step explanation:

In the given quadrilateral

One angle = 83

2 other angles = 90 degrees each

Sum of all the four angles in a quadrilateral = 360 (Angle Sum Property of     quadrilaterals)

=>90+90+x+83= 360

=>180+83+x = 360

=> 263+x= 360

=>x= 360-263

=>x=97

Answer

f(x)-1 =

x/2 - 1/2

Answer:

Step-by-step explanation:

1.  Rewrite the given function as y = 2x + 1.

2.  Interchange x and y:  x = 2y + 1

3.  Solve this result for y:  2y = x - 1, or y = (1/2)(x - 1)

This last result is the desired inverse function.