Determine the factors of x2 − 12x − 20.

Answer:

The solution of the system of equations are the points (1,2) and (-1,-2)

a0=1, a1=-1,a2=-2

Step-by-step explanation:

we have

[tex]x^{2} +y^{2}=5[/tex] ----> equation A

This is the equation of a circle centered at the origin

[tex]y=2x[/tex] ----> equation B

This is the equation of a line, that passes through the origin (a direct variation)

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection points both graphs

using a graphing tool

The intersection points are (1,2) and (-1,-2)

see the attached figure

therefore

The solution of the system of equations are the points (1,2) and (-1,-2)

a0=1, a1=-1,a2=-2

Answer:

The measure of arc AC is 85°

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

m∠ABC=(1/2)[arc AC]

substitute

(4x-5.5)°=(1/2)[5x+25]°

(8x-11)°=(5x+25)°

8x-5x=25+11

3x=36

x=12°

Find the measure of arc AC

arc AC=(5x+25)°

arc AC=5(12)+25=85°

Answer:

The answer is 85

Step-by-step explanation:

I just took the test

Answer:

9

Step-by-step explanation:

3root^857375

Answer:

95

Step-by-step explanation:

The product of the prime factors of 857375 are

5 × 5 × 5 × 19 × 19 × 19 ← express as combination of pairs

= (5 × 19) × (5 × 19) × (5 × 19)

= 95 × 95 × 95 = 95³

Hence

[tex]\sqrt[3]{857375}[/tex] = [tex]\sqrt[3]{95^{3} }[/tex] = 95

Answer:

278 probly

Step-by-step explanation:

i just subracted 981 and 703

Answer:

C (20, 3) = 1140

Step-by-step explanation:

We are given that there is chorus of 20 singers and we are to find the number of different trios that can be selected from 20 singers.

This is a problem of combinations where the order of trios is not important.

[tex] C ( 2 0 , 3 ) = \frac { ( 2 0 ! ) } { ( ( 2 0 - 3 ) ! 3 ! ) } [/tex]

[tex]C ( 2 0 , 3 ) = \frac { 2 0 ! } { ( 1 7 ! ) ( 3 ! ) } [/tex]

[tex]C ( 2 0 , 3 ) = \frac{( 2 0 \times 1 9 \times 1 8 )}{( 3 \times 2 \times 1 )}[/tex]

C (20, 3) = 1140

Answer:

C(20, 3)

Step-by-step explanation:

have a good day

Answer:

1/6 + 7/8

6 and 8's LCD is 24.

1(4)/6(4) + 7(3)/8(3)

=4/24 + 21/24

=25/24

What is the smallest number that is divisible by 6 and 8 evenly?

What about 24?

24/6 = 4

24/8 = 3

LCD = 24

Answer:

x < 11

Step-by-step explanation:

2- 2x>-20

Subtract 2 from each side

2-2- 2x>-20-2

-2x> -22

Divide by -2.  Remember that flips the inequality

-2x/-2 < -22/-2

x < 11

The last one has those projections.

Hope this helps.

r3t40

Answer:

D

Step-by-step explanation:

its the only one that has to triangles on top and rectangles on the sides

Answer:

[tex]\frac{11}{12}\pi r^{2}h\ units^{3}[/tex]

Step-by-step explanation:

we know that

Te volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we have

[tex]r=(r/2)\ units[/tex]

substitute

[tex]V=\frac{1}{3}\pi (r/2)^{2}h[/tex]

[tex]V=\frac{1}{12}\pi r^{2}h[/tex]

Te volume of the cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we know that

To find the volume of the space remaining in the cylinder after the cone is placed inside it, subtract the volume of the cone from the volume of cylinder

so

[tex]\pi r^{2}h-\frac{1}{12}\pi r^{2}h=\frac{11}{12}\pi r^{2}h\ units^{3}[/tex]

Answer:

45.2 MB

Step-by-step explanation:

19.3% is equivalent to [tex]\frac{19.3}{100}[/tex]

Given that the total size of the file is 234 MB and only [tex]\frac{19.3}{100}[/tex] has been downloaded,

number of MB downloaded,

= [tex]\frac{19.3}{100}[/tex] x 234 MB

= 45.162 MB

= 45.2 MB (rounded off to nearest tenth)

Answer:

Step-by-step explanation:

First, you convert 19.3 to a decimal. That is 0.193. Then, you multiply 0.193 and 234 to get 45.162 megabytes. Since it is asking for the number of megabytes, you will have to round it and get 45 megabytes.

Answer:

3.6

Step-by-step explanation:

replace x with -3

f(-3)=0.6(3-(-3))

f(-3)=0.6(6)

f(-3)=3.6

Answer:

3.6.

Step-by-step explanation:

Replace x by -3 in the function and work it out:

f(-3) = 0.6(3 - (-3))

= 0.6(3 + 3)

= 0.6*6

= 3.6 (answer).

x/-9 ≥ 3

To solve for x, multiply both sides by -9

x ≥ 3 *-9

Because the number is negative reverse the inequality sign.

x ≤ -27

The answer is:

The function intercepts de x-axis at "x" equal to 1.631.

To find the x-intercept of the function, we need to make f(x) or "y" equal to 0, and then, isolate "x".

So, isolating we have:

[tex]f(x)=3^{(x-1)} -2\\\\0=3^{(x-1)} -2\\\\3^{(x-1)}=2\\\\Log_{3}(3^{(x-1)})=Log_{3}(2)\\\\x-1=0.631\\\\x=0.631+1=1.631[/tex]

Hence, we have that the function intercepts de x-axis at "x" equal to 1.631.

Have a nice day!

Note: I have attached a picture for better understanding.

Answer:

x = -3/b

x = -1

Step-by-step explanation:

-2(bx-5)=16

Divide each side by -2

-2(bx-5)/-2=16/-2

bx-5 = -8

Add 5 to each side

bx-5+5 = -8+5

bx = -3

Divide each side by b

bx/b = -3/b

x = -3/b

If b = 3

x = -3/3

x = -1

Answer:

-3/b; -1

Step-by-step explanation:

A. Solve the equation

[tex]\begin{array}{rcr}-2(bx - 5) & = & 16\\bx - 5 & = & -8\\bx & = & -3\\x & = & \boxed{\mathbf{-3/b}}\\\end{array}[/tex]

B. Value when b = 3

[tex]\begin{array}{rcr}x & = & -3/3\\x & = & \boxed{\textbf{-1}}\\\end{array}[/tex]

Answer:

[tex] \frac{3}{x - 3} - \frac{5}{x - 2} = \frac{3(x - 2) - 5(x - 3)}{(x - 3)(x - 2)} = \frac{3x - 6 - 5x + 15}{(x - 3)(x - 2)} = \frac{9 - 2x}{(x - 3)(x - 2)} [/tex]

To simplify the expression 3/x-3 - 5/x-2 into one fraction, you need to find a common denominator. The simplified expression is (-2x+9) / [(x-3)(x-2)].

To simplify the expression 3/x-3 - 5/x-2 into one fraction, we need to find a common denominator.

The denominator of the first fraction is x-3 and the denominator of the second fraction is x-2.

The common denominator will be (x-3)(x-2) since that is the product of the two denominators.

Multiplying the numerator and denominator of the first fraction by (x-2) and the numerator and denominator of the second fraction by (x-3), we get:

[(3)(x-2)] / [(x-3)(x-2)] - [(5)(x-3)] / [(x-3)(x-2)]

= (3x-6) / [(x-3)(x-2)] - (5x-15) / [(x-3)(x-2)]

Now that we have a common denominator, we can combine the terms in the numerator:

(3x-6 - 5x+15) / [(x-3)(x-2)] = (-2x+9) / [(x-3)(x-2)]

Therefore, the simplified expression is (-2x+9) / [(x-3)(x-2)].

Answer:

c

Step-by-step explanation:

answers is c because the line matches the equation

Answer:

D

Step-by-step explanation:

The blue graph is the same as the red one except that it was formed by translating the red graph 3 units to the left.  Thus, D is the correct formula.

Answer:

3

Step-by-step explanation:

[ 3.6 ] represents the greatest integer function [ x ]

If x is an integer use that integer

If x is not an integer use the next smaller integer

[ 3.6 ] is not an integer, hence

[ 3.6 ] = 3

Answer:3

Step-by-step explanation: edge 2021

Answer:

A. Down on the left, down on the right

Step-by-step explanation:

Let x be negative infinity

f(-∞) = -3 (-∞)^4+ 7(-∞)^2 - 12(-∞) + 13

f(-∞) = -3 (∞)^4+ 7(∞)^2 + 12(∞) + 13

The term that dominates is ∞^4

That term is negative because of the -3, so it goes down

f(∞) = -3 (∞)^4+ 7(∞)^2 - 12(∞) + 13

f(∞) = -3 (∞)^4+ 7(∞)^2 - 12(∞) + 13

The term that dominates is ∞^4

That term is negative because of the -3, so it goes down

It is down at -∞ and down and +∞

The end behavior of the function is determined by the sign of the leading coefficient and the degree of the highest-powered term. Since the leading coefficient for f(x) = -3x^4 + 7x^2 - 12x + 13 is negative and the degree is even, it results in a down on the left, down on the right end behavior.

To determine the end behavior of a polynomial function, like f(x) = -3x^4 + 7x^2 - 12x + 13, you look at the coefficient and degree of the highest-powered term. The highest-powered term in the function is -3x^4.

Since the highest degree of the function is even (4), the arms of the graph will go in the same direction. That direction is determined by the sign of the leading coefficient, which is negative in this case. Therefore, the end behavior of f(x) is: Down on the left, down on the right.

So, the correct answer is Option A.

https://brainly.com/question/33980473

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Answer:

x = 7

Step-by-step explanation:

The photo should show you how to do it.

Answer:

B

Step-by-step explanation:

Answer: 180/600

Step-by-step explanation: 100x6=600 and 30x6=180

Experience and education are examples of advanced qualifications that is used to determine a high wage paid to an employee.

"Experience is the skill or knowledge that a person can get by learning or doing some professional work or from life."

"Education is an activity which helps an individual to achieve a particular aim of life."

"Advanced qualifications is an activity which helps an individual to increase in the level of education and their learning skills for achieving something better in life."

"Wage is the income which an individual earn with respect to the work he performed"

Hence, option d is correct.

To learn more about experience and education here

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Answer:

Could you repost and attach a picture to go along with your problem?

the answer is A. the commutative property of addition. this property states that no matter what order you put the numbers, the outcome will be the same.

Hope this helps!

[tex](f+g)(x)=x+8+4x-3=5x+5[/tex]

Answer:

(1, - 6.75 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 6.75 = 0.25(x - 1) ← is in point- slope form

with m = 0.25 and (a, b) = (1, - 6.75) ← point on line

Answer:

(1, - 6.75 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 6.75 = 0.25(x - 1) ← is in point- slope form

with m = 0.25 and (a, b) = (1, - 6.75) ← point on line

Answer:

see explanation

Step-by-step explanation:

Note that 9x² and 49y² are perfect squares.

9x² = (3x)² → 3x is the first term

49y² = (7y)² → 7y is the second term

Hence

(3x + 7y)² = 9x² + 42xy + 49y²

Answer:

83,962

Step-by-step explanation:

You must subtract the miles gained while on the road trip from the miles the car had after the road trip.

86,445-2,483=83,962