Which polynomial function has a root of 3 with multiplicity 2 and roots of –10 and –1 with multiplicity 1? f(x) = (x – 10)(x – 1)(x + 3)(x + 3) f(x) = x(x – 10)(x – 1)(x + 3) f(x) = (x + 10)(x + 1)(x – 3)(x – 3) f(x) = x(x + 10)(x + 1)(x – 3)(x – 3)

Answer:

3/2

Step-by-step explanation:

(64/729)^(−1/6)=(2^6/3^6)^(-1/6)=(2/3)^-1=3/2

Answer:

The surface area of the cylinder is 251.2cm²

Step-by-step explanation:

To solve this problem we have to calculate the circle area and the lateral area

radius = half of diameter

r = 10/2 = 5cm

To calculate the area of ​​the circle we use the following formula

a = area

r = radius = 5cm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (5cm)²

a = 3.14 * 25cm²

a = 78.5cm²

The area of the circle is 78.5cm²

To calculate the lateral area of ​​the cylinder we use the following formula

a = area  =

h = heighti = 3cm

r = radius = 5cm

π = 3.14

a = 2 * π * r * h

we replace with the known values

a = 2 * 3.14 * 5cm * 3cm

a = 6.28 * 15cm²

a = 94.2cm²

The lateral area of ​​the cylinder is 94.2cm²

Now we add the lateral area of ​​the cylinder with 2 times the area of ​​the circle and obtain the area of ​​the cylinder

94.2cm²  + (2 * 78.5cm²) = 251.2cm²

The surface area of the cylinder is 251.2cm²

Answer:

30

Step-by-step explanation:

If 15/50 = x/100,

then 50x=1500,

and x-30

:-)

Answer:

  [tex]\dfrac{\overline{RS}}{\overline{VU}}=\dfrac{\overline{ST}}{\overline{UT}}\quad\text{and}\quad\angle S\cong\angle U[/tex]

Step-by-step explanation:

To use the SAS similarity theorem, you must show proportionality between corresponding sides, and congruence of the angle between them.

The answer shown above is the only answer choice that mentions an angle.

__

Comment on other choices

Choice B shows the three sides are proportional, so would be useful if the SSS similarity theorem were to be invoked. It isn't helpful for the using the SAS similarity theorem.

Choices C and D get the proportion statements wrong.

Answer:

RS/VU=ST/UT and Angle S congruent Angle U

Answer:

n=2.5

Step-by-step explanation:

(2n+4)+6=-9+4(2n+1)

Expand parentheses:

2n+10=-9+8n+4

Combine like terms:

15=6n

Divide both sides by 6:

n=2.5

Hope this helps!

Answer:

28

Step-by-step explanation:

So I just figured out by counting. The top has 8, which means the bottom also has 8. The sides are 3, 2, 1, 1, 2, 3

The total is 8 + 8 + 3 + 2 + 1 + 1 + 2 + 3 =  28

Answer:[tex]\frac{x}{6}[/tex] + 5

Step-by-step explanation:

Answer:

x/6 + 5.

Step-by-step explanation:

The quotient of x and 5 is x/6.

Adding 5 we get:

x/6 + 5.

Answer:

x < 6.

Step-by-step explanation:

18 > 12+x

18 - 12 > x

x < 6.

The graph  will be a vertical dotted line passing through the point (6, 0) and shaded to the left.

Answer:

first box: -14[tex](x+7)^2-49=0\\(x+7)^2=49\\(x+7)=\sqrt{49} \\(x+7)=+/-7\\x=-7+/-7\\x=-7+7\,\,and\,\,-7-7\\x=0\,\,and\,\,-14[/tex]

second box: zero

Step-by-step explanation:

Answer: (-4, -1)

Step-by-step explanation:

Starting at point (-4, -2) and translating 3 units up means we add 3 to -2.

So the new point is now (-4, 1).

Now we reflect over the x-axis which means the y-value of 1 becomes negative.

So the final point is (-4, -1)

Answer:

(-4,-1)

Step-by-step explanation:

when you translate it by 3 units up, it becomes (-4,-1). and when you reflect over the x axis, it becomes (-4,-1)

Answer:

CP - SP = LOSS when CP is more than SP

Answer:

It could help Logan to first study the constitution and shape of this type of armor in order to make a mental image of the positions of the angles as well as the size.

Step-by-step explanation:

A previous study allows Logan to understand that these types of trusses have a triangular shape and are widely used in the construction of roofs, therefore Logan could use to draw this type of trusses.

Answer:

True.

Step-by-step explanation:

That is exactly what a perimeter is. Hope this helps

Answer:the answer is -17

Step-by-step explanation:

Answer: (-6, -3)

Step-by-step explanation:

We have the point (-3, -6)

And we want to do a reflection over the line y = x.

When we do a reflection of the point (x, y) over the line y = x. the reflected point will be (y, x)

So if our original point is (-3, -6) then the reflected point is (-6, -3)

Answer: -3

Step-by-step explanation:

-3^2=-3*-3=-9

Because the square of q is equal to -9, the square root of -9 is equal to q.

Because of this fact, we can find the square root of -9 to get our answer.

[tex]\sqrt{-9}[/tex] = 3 i.

Therefore, q is equal to 3 i or [tex]\sqrt{-9}[/tex].

Hope this helped! :)

Answer:

1)     x-4y-22=-5

2)    y=-4x-34

Step-by-step explanation:

Answer:

4/6 , 3/4, 7/8

Step-by-step explanation:

7/8 4/6 3/4

The common denominator is 24

7/8*3/3 = 21/24

4/6* 4/4 = 16/24

3/4 * 6/6 = 18/24

From smallest to largest

16/24, 18/24, 21/24

4/6 , 3/4, 7/8

Answer:

(3.2, 12)

Step-by-step explanation:

Total cost for gas = $12

Cost per gallon = $3.75

Letting total cost of gas be y and number of gallons be x, maximum number of gallons of gas he can buy would be ;

Total cost of gas/ cost per gallon = 12 / 3.75 = 3.2 gallons

Therefore , the coordinate pair (x, y) = (3.2, 12)

Answer:

x^2+6x+8

Step-by-step explanation:

x x x=x^2

x x2= 2x

4 x x=4x

4 x 2= 8

x^2+2x+4x+8

x^2+6x+8

Answer:

[tex]Volume = 54\,\pi[/tex]

Step-by-step explanation:

Recall the formula for the volume of a cylinder:

[tex]Volume=\pi \,R^2\,H[/tex]

where R is the radius of the cylinder's base, and H is the cylinder's height.

Therefore, in our case the volume becomes:

[tex]Volume=\pi \,R^2\,H\\Volume=\pi \,3^2\,*\,6\\Volume = 54\,\pi[/tex]

Answer:

7 and -5

Step-by-step explanation:

1. Factor: (x-7)(x+5)

2. Set both to zero and solve

Answer:

1, 27, 3, 9,

Step-by-step explanation:

To find the factors of 27 you need to find which whole number times another whole number = 27

We know that 1*27 = 27

We also know that 3*9 = 27

The factors are all the numbers that are used in the multiplication.

In this example the numbers are: 1, 3, 9 and 27

Answer:

1,9,3,27

Step-by-step explanation:

if we break it down we can see:

1x27=27

9x3=27

Answer:

6

Step-by-step explanation:

The upper quartile (also known as Q3) is the right most side of the BOX (where the box ends). In the question, it says the box is from 3 to 6 meaning that the box ends at 6.

I hope this helps!

Answer:

6

Step-by-step explanation:

The upper quartile is 6 because the box ends at 6 and that is the upper quartile which is sometimes also known as Q3

Answer:

Option C is correct

Step-by-step explanation:

Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.

To find: current altitude of the plane

Solution:

Consider the attached image.

In ΔABC,

[tex]\angle ACB=55^{\circ}[/tex] (Alternate interior angles)

For any angle [tex]\theta[/tex],

[tex]tan \theta[/tex] = side opposite to angle/side adjacent to angle

[tex]\tan C=\frac{AB}{BC}[/tex]

Put [tex]\angle C=55^{\circ}\,,\,BC=2.8\,\,miles[/tex]

[tex]AB=2.8\,\tan 55^{\circ}=3.999\approx 4\,\,miles[/tex]

So, the current altitude of the plane is 4 miles.

Answer:

the nature of the roots of an equation is real, distinct and irrational

Step-by-step explanation:

Given Data provided in the question according to the question is as follows:

[tex]2x^2 + 8x + 3 = 0[/tex]

where

a = 2  ,  b = 8 , c = 3

As we know that

Quadratic expression

[tex]ax^2 + bx +c = 0[/tex]

Delta = [tex]b^2 - 4ac[/tex]

[tex]= (8)^2 - 4 (2) (3)[/tex]

= 64 - 24

= 40

Here,

Delta > 0, it does not contain perfect square

Therefore the nature of the roots of an equation is real, distinct and irrational

Answer:

− 4 b − 44

Step-by-step explanation:

Answer:

-4(b + 11)

Step-by-step explanation:

-4(b + 2) - 36    (multiply -4 into parentheses via distributive property)

= b(-4) + 2(-4) - 36

= -4b -8 - 36

= -4b - 44    (this could be an answer, but we can still simplify further by factoring out -4)

= -4(b + 11)

Answer:

your answer is -4!

Step-by-step explanation:

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