f(x)=x^4−4x^3−22x^2+4x+21
Select each correct answer.

−3
−1
0
1
3
7

Answer: first and third choice

Step-by-step explanation:

it would be the first and third choices. the first choice employs the distributive property— it distributes b to x and c.

the third choice performs opposite operations. so instead of multiplying b by (x+c) it does the opposite and divides it by both sides

Answer:

It means 24 X x

Step-by-step explanation:

Answer:

The x next by any number is variable or value of some kind,it's not supposed to be specific because it's algebra.

Answer:

0.70512820512 round to the nearest hunderth

Step-by-step explanation:

[tex] \: \: \: \: \: [/tex]

[tex](x,y) = ( - 8,0)[/tex]

[tex] \: \: \: \: [/tex]

Answer:

1/20 E

Step-by-step explanation:

11.74 - 11.69 = .05

.05 =1/20

Answer:

E. 1/ 20 seconds

Step-by-step explanation:

The distance covered by both the athletes is the same.

So, calculating the difference between their times:

That means, Luis completed the race before Bryan, and the difference between their times is:

= 11.74 - 11.69

= 0.05 seconds

To convert this decimal into a fraction we'll multiply and divide the decimal by 100 (as the number of decimal places is "2", the decimal will be handled by 10 exponent "2" )

[tex]=0.05 \times \frac{100}{100}[/tex]

[tex]= \frac{5}{100}[/tex]

5's a common factor in both numerator and denominator hence, it cancels out

[tex]=\frac{1}{20}[/tex]

Therefore, we got [tex]\frac{1}{20}[/tex] seconds. That is option E.

Answer:

I don't see boxes?

Step-by-step explanation:

I do not see any boxes sorry for the inconvenience

[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]

[tex]=\frac{6-8i+9i+12}{25} [/tex]

[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]

[tex]=\frac{18+i}{25} [/tex]

[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]

_______

Hope it helps :) ⚜

Answer:

5

Step-by-step explanation:

Answer:

4 or 2 times unknown number added with 7 it gives 15

Step-by-step explanation:

2a+7=15

2a=15-7

2a=8

a=4

Answer:

2a+7=15

2a=15-7

2a=8

2a/2=8/2

a=4

Answer:

The radius is 4.7 units.

Step-by-step explanation:

To answer this we need only find the square root of 22.09:  4.7

The radius is 4.7 units.

Answer:

100 days

Step-by-step explanation:

You know that you write at a speed of 5 pages every 2 days. In order to write a 250 page novel, you're going to have to to write 250/5 = 50 *2 = 100 days.

Answer:

D

Step-by-step explanation:

p(t)=2t+5

p(10)=2(10)+5

p(10)=20+5

p(10)=25

please give me a brainliest since this took a lot of thinking

Answer: 1.8125 gallons = 29 cups

Step-by-step explanation:

There are 16 cups in a gallon. Therefore, to convert gallons to cups we multiply the number of gallons by 16.

The number of gallons, in this case, is: 1.8125

So, we need to multiply 1.8125 by 16

1.8125 ⋅ 16 = 29

In the final analysis, 1.8125 gallons is equal to 29 cups.

,  Hope this helps :)

Have a great day!!

Answer:

62

Step-by-step explanation:

775 steps divided by 12.5 minutes is 62 steps per minute.

Answer:

-5

Step-by-step explanation:

substitute -b for -12 and add 7

Answer:

6:

x=  6(y−2)/5

8:a=−(b+c+4)

b=−(a+c+4)

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

x=0 the first equation gives -4

andx= 2 6/2 = 3-4= -1

Answer:

The dimensions of the carpet are 4√3m by 4√3m.

16m² are not covered by the carpet.

Step-by-step explanation:

The area of an 8m by 8m floor is 64m².

[tex]8*8=64[/tex]

A)

First, 75% of that area is 48m².

[tex]64*0.75=48[/tex]

Now we need to find the dimensions of the square carpet. Because it is a square, the length and width have to be the same.

[tex]x*x=48\\x^2=48\\x=\sqrt{48}[/tex]

There's 2 ways to simplify that further as it is not a perfect square. Either just use a calculator to find the root, or factor it out. I won't show how to factor that here as it's not directly relevant, but I can explain it if you're interested.

The 2 solutions are:

[tex]x=6.9282...\\x=4\sqrt{3}[/tex]

The dimensions of the carpet are 4√3m by 4√3m.

B)

Now to find the area that is not covered, just subtract the area that is covered from the total.

[tex]64-48=16[/tex]

16m² are not covered by the carpet.

Answer:

m = 2/5

Step-by-step explanation:

2x - 5y = 52

-5y = -2x + 52

y = 2/5x - 52/5

The slope of the line with equation 2x−5y=52 is 2/5.

The given equation of line is 2x−5y=52.

The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.

The given equation 2x−5y=52 can be rewritten as

2x-52=5y

⇒ y = 2x/5-52/5

Now, compare y = 2x/5-52/5 with the standard form of an equation y=mx+c

So, m=2/5

Therefore, the slope of the line with equation 2x−5y=52 is 2/5.

To learn more about the slope of an equation visit:

https://brainly.com/question/13496015.

#SPJ2

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

DIlations are defined by the follwing operation:

[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)

Where:

If we know that [tex]O(x,y) = (1,1)[/tex], [tex]k = 0.5[/tex], [tex]J(x,y) = (3,1)[/tex], [tex]K(x,y) = (5, -3)[/tex], [tex]L(x,y) = (5,5)[/tex] and [tex]M(x,y) = (3,7)[/tex], then the coordinates of the new polygon are:

[tex]J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)][/tex]

[tex]J'(x,y) = (1,1)+0.5\cdot (2,0)[/tex]

[tex]J'(x,y) = (1,1) +(1,0)[/tex]

[tex]J'(x,y) = (2,1)[/tex]

[tex]K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)][/tex]

[tex]K'(x,y) = (1,1) +0.5\cdot (4,-4)[/tex]

[tex]K'(x,y) = (1,1) +(2,-2)[/tex]

[tex]K'(x,y) = (3,-1)[/tex]

[tex]L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)][/tex]

[tex]L'(x,y) = (1,1) + 0.5\cdot (4,4)[/tex]

[tex]L'(x,y) = (1,1) + (2,2)[/tex]

[tex]L'(x,y) = (3,3)[/tex]

[tex]M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)][/tex]

[tex]M'(x,y) = (1,1) +0.5\cdot (2,6)[/tex]

[tex]M'(x,y) = (1,1) +(1,3)[/tex]

[tex]M'(x,y) = (2,4)[/tex]

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

We kindly invite to check this question on dilations: https://brainly.com/question/13176891

Answer:

1 Meter equals 100 Centimeters, therefore 1 Square meter is equal to 100 centimeters squared. Thus, [tex]1 M^{2}[/tex] is equal to [tex]100^{2}[/tex] when counting in Centimeters square. Now that we have gotten the basics down, Lets convert the other necessary units.

[tex]1 m^{2} = 10,000 cm^{2}[/tex]

[tex]1 mm^{2} = 0.01cm^{2}[/tex]

[tex]1 km^{2} = 1,000,000 m^{2}[/tex]

Now, using that knowledge, we can find the answers to all questions.

1) 0.15 [tex]m^{2}[/tex]

2) 0.086 [tex]m^{2}[/tex]

3) 0.1 [tex]cm^{2}[/tex]

4) 600,000 [tex]cm^{2}[/tex]

5) 0.0001 [tex]km^{2}[/tex]

6) 400 [tex]cm^{2}[/tex]

7) 52,100 [tex]mm^{2}[/tex]

8) 500,000 [tex]m^{2}[/tex]

9) 0.087 [tex]mm^{2}[/tex]

10) 50 [tex]cm^{2}[/tex]

That's all folks!

Answer:

y = - 9x + 42

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 9 , then

y = - 9x + c ← is the partial equation

To find c substitute (4, 6 ) into the partial equation

6 = - 36 + c ⇒ c = 6 + 36 = 42

y = - 9x + 42 ← equation of line

Answer:

114.0g/538.5cm^3=0.2117 glcm^3

Step-by-step explanation:

the answer of ur question is 0.25

Answer:

A. One solution

Step-by-step explanation:

6 + x/5 = x/5 - 5 - 3x/10

Cancel equal terms on both sides.

6=-5-3x/10

Multiply both sides of the equation by 10.

60=-50-3x

Move the variable to the left-hand side and change the sign.

60+3x=-50

Move the constant to the right-hand side and change the sign.

3x=-50-60

Calculate the difference.

3x=-110

Divide both sides by 3.

x=-110/3

=-36 2/3

Meaning one solution.

Hope this helps :)

Answer:

The answer you are looking for is A

Answer in the picture.

Answer:

31.35%

Step-by-step explanation:

In the box, there are:

Total number of pens in the box = 6 + 4 + 7

= 17

If we count pens as outcomes the total number of possible outcomes are 17.

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

Clarissa takes out a black pen from the box.

That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.

So now:

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

[tex] \boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}[/tex]

If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.

That makes it,

= 5

= 16

[tex] \implies\mathsf{probability = \frac{5}{16} }[/tex]

For showing it as some percent we'll just multiply the fraction by 100

[tex] \implies \mathsf{ \frac{5}{16} \times 100 }[/tex]

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

[tex] \implies \mathsf{ \underline{ 31.25 \: \% } }[/tex]

Answer:

go to https://www.rcboe.org/cms/lib010/GA01903614/Centricity/Domain/1030/Ch.%203.3.pdf

Step-by-step explanation:

i think that will help

Answer:

x=116°

Step-by-step explanation:

we have two parallel line and x=116

[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]