Calculate the area of each figure.

Answer: Yes, (x+4) is a factor of the given polynomial.

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Explanation:

We can use the remainder theorem here.

Consider any polynomial p(x). The binomial x-k will be a factor of p(x) if and only if p(k) = 0. I'm using the special case of the remainder theorem, where we look for a remainder of 0.

The binomial x+4 is the same as x-(-4). Compare this to x-k to see that k = -4.

Then plug this k value into the p(x) polynomial given

p(x) = 2x^3 + 16x^2 + 22x - 40

p(-4) = 2(-4)^3 + 16(-4)^2 + 22(-4) - 40

p(-4) = 2(-64) + 16(16) + 22(-4) - 40

p(-4) = -128 + 256 - 88 - 40

p(-4) = 0

This shows that dividing p(x) = 2x^3 + 16x^2 + 22x - 40 over x+4 leads to a remainder of 0. Therefore, (x+4) is a factor of p(x).

[tex]\\ \sf\longmapsto m<1+m<CUS=m<CUB[/tex]

[tex]\\ \sf\longmapsto m<1+48=78[/tex]

[tex]\\ \sf\longmapsto m<1=78-48[/tex]

[tex]\\ \sf\longmapsto m<1=30[/tex]

Answer: a) 191200 b) 557.67 c) 562.98

Step-by-step explanation:

a) 239000 times .8 (aka 80%) = 191200

b) 191200/(12 times 30) = 531.11

531.11 times 1.05 (5%) = 557.667

Round to nearest cent: 557.67

c) 191200/(12 times 30) = 531.11

531.11 times 1.06 (6%) = 562.978

Round to nearest cent: 562.98

Answer: x= 1, [tex]\frac{1}{5\\}[/tex]

Step-by-step explanation:

The quadratic equation is

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

and

[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

So we just need to sub in the proper numbers from the equation given, in this case, it would result in

[tex]x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

and

[tex]x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers

x= 1, [tex]\frac{1}{5\\}[/tex]

Answer:

Step-by-step explanation:

Answer:

20-(30-50)×10

20 - × - 20 ×10

20+20×10

20+200

220

Answer:

2nd one

Step-by-step explanation:

as it is a negative number so the point on the number line should move backwards

Hey there!

The formula to find the perimeter of a rectangle is "P=2(l+w)".

Hope this helps!

Have a great day! :)

Answer:

formula to find the perimeter of rectangle is

hope it helps

stay safe healthy and happy.

Answer:             y=x3+2x2−130

Step-by-step explanation:

Hope this helps!

Answer:

[tex] \sin(45 ) = y \div 11 \sqrt{6} [/tex]

[tex] \frac{1}{ \sqrt{2} } = \frac{y}{11 \sqrt{6} } \\ \\ y = \frac{11 \sqrt{6} }{ \sqrt{2} } \\ y = 11 \sqrt{3} [/tex]

[tex] \tan(60) = \frac{x }{11 \sqrt{3} } \\ \\ \sqrt{3} = \frac{x}{11 \sqrt{3} } \\ x = \sqrt{3} \times 11 \sqrt{3} \\ x = 33[/tex]

Answer:

The choose C.

I hope I helped you^_^

Answer:

x = 1 , x = 1/5

Step-by-step explanation:

Step-by-step explanation:

Root:(1/2, 0)

Domain: x∈R

Range: y∈R

Vertical intercept: (0, 1)

Answer:

Sorry

Step-by-step explanation:

For my Poor H. And Coordinates

Answer:

15

Step-by-step explanation:

rises 8 floors = 15 + 8 = 23

drops 10 floors = 23 - 10 = 13

rises 2 floors = 13 + 2 = 15

2/5(4) + 2/5(10y)

8/5 +20y/5

8/5 + 4y

Answer:

8/5 + 4y

Step-by-step explanation:

[tex]\frac{2}{5}(4)=\frac{8}{5}\\\\\frac{2}{5}(10y)=4y\\\\\frac{8}{5}+4y[/tex]

Answer:

2? equation does not have a solution

Step-by-step explanation:

Answer:

it is a negative slope (going left), dashed and shaded left below the line - the points are not correct.

y<-2x+3/2

-2 = m and the y-intercept is 3/2

Step-by-step explanation:

Answer:

The second graph showing the y-intercept as 2 and the x-intercept as 1 with the left side of the line shaded in red. Ur welcome and have a nice day :3

Step-by-step explanation:

Answer:

Formula

V=a^2h/3

a is the base area

h is the height

V= 16^2×15/3

V=1280cm^3

Answer:

below

Step-by-step explanation:

I'm not sure what variable you want to solve for but I'll solve for w and m if needed.

p = wm

~Divide w to both sides

p/w = m

p = wm

~Divide m to both sides

p/m = w

Best of Luck!

Answer:

1/2 is the answer because its half

Answer:

1 / 2

Step-by-step explanation:

10 is to 5 as  10 (5/10) = 50/10 = 5

8 is to 4 as 8 ( 4/8 ) = 32/8 = 4

6 is to 3 as 6 ( 3/6 ) = 18/6 = 3

Each of the scale factors are 5/10, 4/8, 3/6 which equals 1/2.

9514 1404 393

Answer:

  (B)  Function 2

Step-by-step explanation:

We can compute the slope of Function 2 using the slope formula.

  m = (y2 -y1)/(x2 -x1) . . . . where x and y are the independent and dependent variables.

  m = (0.2 -0.8)/(3 -2) = -0.6

The slope of Function 1 is about ...

  -3/7 ≈ -0.43

The slope of Function 2 is more negative.

__

On a graph, the line representing function 2 has a steeper downward slope.

Step-by-step explanation:

Formula for finding midpoint of a line segment :

[tex] (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

you should have both the points of line segment.Just subtitute points in the formula and determine mid points.

Note: if you have any question about it you can freely ask. Thanks

Answer:

25% and 75%

Step-by-step explanation:

15+45=60

girl =  [tex]\frac{15}{60} *100[/tex] = 25%

boy = [tex]\frac{45}{60} *100[/tex] = 75%

The solution is : Option A is correct; Point Q is outside circle W

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

If the circle is given as having center W, this means  the radius starts from point W and ends at any point on the circumference.

The radius has been given as 5 units, and this also means any measurement from point W to the circumference is either equal to or less than the radius which is 5 units.

Any measurement that is greater than 5 would be outside of the circumference.

we have,

Point Q is 6 units away from point W, therefore point Q is outside the circumference, that is, outside circle W.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

complete question:

Circle W has a center of point W and a radius of 5 units. Point Q is 6 units away from point W. Where is point Q?

A)outside circle W

B)inside circle W

C)on circle W

D)cannot be determined