Louise begins factoring the polynomial, which has four terms. 8x3+24x2+10x+30 2(4x3+12x2+5x+15) 2[4x2(x+3)+5(x+3)] Which is the completely factored form of her polynomial? 8x2(x + 3)2 2x(4x2 + 5) 2(4x2 + 5) (x + 3) 2(4x2 + 5) (x + 3)2

Answer:

X=120

Step-by-step explanation:

It is an equalateral so all the angles in the middle are the same all being 60

The angle of a straight line is 180

So just minus 60 from 180 to get 120

180-60=120

Answer:

From Pythagoras Theorem

The square of the hypotenuse is equal to the sum of the squares of the other two sides

C² = 12² + 35²

C= √12²+35²

C= 37in

Answer:

side c = 37 in.

Step-by-step explanation:

side c is the hypotenuse as it is opposite of right angle (90 degree ).

12 and 35 are the two other smaller sides of the given right angles triangle.

using pythagoras theorem to find side c

a^2 + b^2 = c^2

12^2 + 35^2 = c^2

144 + 1225 = c^2

1369 = c^2

[tex]\sqrt{1369}[/tex] = c

37 = c

Answer:

-9√11

Step-by-step explanation:

Simplify 5√11-12√11-2√11

Applying,

The law of surd,

Step 1: factor out the common surd or irrational number i.e √11

√11(5-12-2)

√11(-9)

Step 2: Multiplying the whole number and the surd

-9√11

Therefore,

5√11-12√11-2√11 = -9√11

Hence the right option from the list of option is

c -9√11

Answer:

distance = 68 pie x

Step-by-step explanation:

Hope this helps

Answer:

C. Only statements #1 & #3 are true.

Step-by-step explanation:

A plane is made up of various number of points or line that extend till infinity on a flat surface. It can be named by with 3 non-collinear points that lie on the plane or by a letter in the plane (e.g plane A).

All plane shape are derived by their required dimensions in a plane. So that they can all be expressed on a flat surface i.e in 2 dimensions only.

Thus from the given question, the appropriate option that are statements that defines a plane accurately is C. i.e only statements #1 & #3 are true.

Answer:

The third side is 3.6

Step-by-step explanation:

Incomplete question;

The parameter from the complete question can be summarized as follows:

[tex]Side\ 1 =2[/tex]

[tex]Side\ 2 =3[/tex]

Required

Determine the third side (hypotenuse)

Let the third side be x;

So:

[tex]x^2 = Side\ 1^2 + Side\ 2^2[/tex]

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

[tex]x^2 = 4 + 9[/tex]

[tex]x^2 = 13[/tex]

Take square roots of both sides

[tex]x = 3.6[/tex]

Step-by-step explanation:

my answer is in the image above

Answer:

ok

Step-by-step explanation:

whats the question?

There are 6 numbers on the cube.

The probability of getting a 3 would be 1 out of 6, 1/6

The probability of getting heads on a coin toss is 1/2

The probability of getting both a 3 and a head = 1/6 x 1/2 = 1/12

Answer: 1/12

Answer:

4

Step-by-step explanation:

To find the slope of a line that is perpendicular to another line simply flip the slope ( so if it is 1/3 flip it to 3 or if it's 3 flip it to 1/3) and change the sign ( so if it's positive change it to negative vise versa )

The equation we are given has a slope of -1/4

So flip the fraction ( we would get -4)

And change the sign ( we would get 4)

So the slope of a line that is perpendicular to y = -1/4x + 5 is 4

Answer:

slope = 4

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 )

y = - [tex]\frac{1}{4}[/tex] x + 5 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{4} }[/tex] = 4

Answer:

Tn = 75+25n

Step-by-step explanation:

The balance are in arithmetic progression

$100, $125, $150...

The formula for calculating the nth term of the sequence is expressed as;

Tn = a+(n-1)d

a =100

d = 125 - 100 = 150 - 125

d = 25

n is the number of terms

Substitute

Tn = 100+(n-1)*25

Tn = 100 + 25n-25

Tn = 75+25n

Hence the nth term of the sequence is Tn = 75+25n

Answer:

12/25 = 48/100 = .48 = 48%

Step-by-step explanation:

Answer with Step-by-step explanation:

We are given that

[tex]g(x)=(x^2-3x-10)(x^2+2x^2-5x+4)[/tex]

x=-1

Using property of limit

[tex]\lim_{x\rightarrow -1}g(x)=\lim_{x\rightarrow -1}(x^2-3x-10)(3x^2-5x+4)[/tex]

=[tex](1+3-10)(3+5+4)[/tex]

=[tex](-6)(12)[/tex]

=[tex]-72[/tex]

[tex]g(-1)=(1+3-10)(1+2+5+4)[/tex]

[tex]g(-1)=(-6)(12)=-72[/tex]

[tex]\lim_{x\rightarrow -1}g(x)=g(-1)[/tex]

Hence, the function is continuous at x=-1

Answer:

d)

Step-by-step explanation:

The domain are all the possible values for x. For this graph the domain will continue on forever in both the positive and negative direction, so (-∞, ∞).

The range are all possible values for y. For this graph, k affects the height of the graph. Since k affects how far up/ down you move the graph, therefore (k, ∞)

The h in the equation shows how far you move the graph to the left/right.

Answer:

so legendary is twice epic

epic is twice rare

rare is 2.5 uncommon

uncommon twice common

The image of the car park showing the 2 angles is attached.

Answer:

Their lines are parallel.

Step-by-step explanation:

From the attached image, we can see that ∠1 and ∠2 form a pair of alternate exterior angles. Thus; ∠1 = ∠2.

Now since they are congruent, it means that their lines will be parallel.

Thus, we can conclude that their lines are parallel.

[tex]f(x)=\frac{1}{9}x-2\\ take:\\x=f(x)^{-1}\\\\f(x)=X\\\\X=\frac{1}{9}f(x)^{-1}-2\\\\(X+2)9 =f(x)^{-1} \\\\f(x)^{-1}=9X+18\\[/tex]

Answer:

22

Step-by-step explanation:

ftrrrrgd fff fftttr fddd

Answer:

3

Step-by-step explanation:

f(x) = 2x-5

Let x = 4

f(4) = 2*4 - 5

Multiply

f(4) = 8 -5

Subtract

f(4) = 3

Answer:

$8.99

Step-by-step explanation:

14.38 ÷ 2 = 7.19

7.19 + 1.8 = 8.99

Hope this helps

Answer:

hi

Step-by-step explanation:

thank u

Answer:

is that allowed or not......

Answer:

1. The two decimals are 1.06 and 1.28. 2. The numbers 1.06 and 1.28 are both between 1 and 2.

Answer:

A weak positive correlation

Step-by-step explanation:

The table of values of the women's age to shoe size is presented as follows;

Women's Age and Shoe Size

[tex]\begin{array}{ccc} Age&&Shoe \, size\\18&&7\\30&&10\\52&&6\\64&&9\end{array}[/tex]

We get;

The correlation coefficient, r, is given as follows;

[tex]r = \dfrac{\sum \left(x_i - \overline x \right ) \cdot \left(y_i - \overline y \right )}{\sqrt{ \sum \left(x_i - \overline x \right )^2 \cdot \sum \left(y_i - \overline y \right )^2}}[/tex]

From MS Excel, we have;

[tex]\sum \left(x_i - \overline x \right ) \cdot \left(y_i - \overline y \right )[/tex] = 2

[tex]\sqrt{ \sum \left(x_i - \overline x \right )^2 \cdot \sum \left(y_i - \overline y \right )^2}[/tex] = √13,000 = 10·√130

∴ r = 2/(10·√130) ≈ 0.01754

Therefore, given that the calculated correlation coefficient, r is positive and less than 0.2 (weak), we have

The correlation is a weak and positive.

Answer:

a

Step-by-step explanation:

3(2x+4)=2 when 0 is on horizontal

The equation of the graph of the function is f ( x ) = 1/( x - 3 )²

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/( x - 3 )²

The y-intercept of the function is at when x = 0

So , when x = 0

y = 1/9

Hence , the function is f ( x ) = 1/( x - 3 )² and the graph is plotted

To learn more about graph of polynomials click :

https://brainly.com/question/16957172

#SPJ7

Answer:

look at image given

Step-by-step explanation:

im assuming the -3 is seperate :p

Answer:

Step-by-step explanation:

Line segment          Point         Point         Distance    Proof

AB                           A(-3 , 4)      B(2,4)          5                2 - (-3) = 2 +3 = 5

BC                          B(2,4)          C(5,4)          3                 5 - 2 = 3

CD                          C(5,4)          D(5,-1)          5              4 -(-1) = 4 +1 = 5

DE                           D(5 , -1)       E(5,-3)          2             -1 -(-3) = -1 +3 = 2

EF                           E(5, -3)        F(-5,-3)         10            5 - (-5) = 5+5 = 10

Answer:

it take 6 hours to do the job its the answer

dude its just 3 rooms. yes

Answer:

3 rooms

Step-by-step explanation:

For 1 1/4 rolls of electric wire = 1 room

For 3 3/4 rolls of electric wire = 3 3/4 ÷ 1 1/4

                                                 = 15/4 ÷ 5/4

                                                 = 15/4 x 4/5

                                                 = 15/5

                                                 = 3 rooms