Given that f(x) = x^2– 5x– 36 and g(x) = x + 4, find (f +9)(x) and express
the result in standard form.

Step-by-step explanation:

present......................

Answer:

m < S = 40°

Step-by-step explanation:

According to the Triangle Exterior Angle Postulate, the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

The exterior angle is m < R = 140°.  In reference to the Triangle Exterior Angle Postulate, the sum of the measures of < T and < S must equal 140°.

Given m < T =  (8x + 4)°

          m < S = (3x + 4)°

We can set up the following equality statement to solve for the value of x:

m < R = m < T + m < S

140° = (8x + 4)° + (3x + 4)°

Combine like terms:

140° = 11x + 8

Subtract 8 from both sides:

140° - 8 = 11x + 8 - 8

132° = 11x

Divide both sides by 11:

132°/11 = 11x/11

12 = x

Substitute the value of x into the equality statement to verify whether it is the correct value:

140° = (8x + 4)° + (3x + 4)°

140° = [8(12) + 4]° + [3(12) + 4]°

140° =  (96 + 4)° + (36 + 4)°

140° = 100° + 40°

140°  = 140° (True statement. Therefore, the correct value for x = 12).

Therefore, m < S = (3x + 4)° = [3(12) + 4]° = 40°

Please mark my answers as the Brainliest if you find this helpful :)

Answer:

[tex]x+1+\frac{1}{x-1}[/tex]

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

STEP

2

:

           x3 - 2x2 + 2x - 1

Simplify   —————————————————

                 x - 1      

Checking for a perfect cube :

2.1    x3 - 2x2 + 2x - 1  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 - 2x2 + 2x - 1  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  2x - 1  

Group 2:  -2x2 + x3  

Pull out from each group separately :

Group 1:   (2x - 1) • (1)

Group 2:   (x - 2) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3 - 2x2 + 2x - 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -1.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -6.00      

     1       1        1.00        0.00      x - 1  

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3 - 2x2 + 2x - 1  

can be divided with  x - 1  

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3 - 2x2 + 2x - 1  

                             ("Dividend")

By         :    x - 1    ("Divisor")

dividend     x3  -  2x2  +  2x  -  1  

- divisor  * x2     x3  -  x2          

remainder      -  x2  +  2x  -  1  

- divisor  * -x1      -  x2  +  x      

remainder             x  -  1  

- divisor  * x0             x  -  1  

remainder                0

Quotient :  x2-x+1  Remainder:  0  

Trying to factor by splitting the middle term

2.5     Factoring  x2-x+1  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  +1  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 1 = 1  

Step-2 : Find two factors of  1  whose sum equals the coefficient of the middle term, which is   -1 .

     -1    +    -1    =    -2  

     1    +    1    =    2  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6    Cancel out  (x-1)  which appears on both sides of the fraction line.

Final result :

 x2 - x + 1

Answer:

The answer is the first one "put the compass point at A and set the width to be the length of line segment AB."

Step-by-step explanation:

They have to be equal, so you'll put the compass at point A and set it to be the length of AB, then you will put compass at point C, draw an arc that intersects the line, and label the point of intersection as "B"

Answer:

Nicole

Step-by-step explanation:

Danielle reads four pages per min, Nicole reads 2.7 pages per min.

Answer:

3x+4 I think

Step-by-step explanation:

mathaway minus the second a

Answer:

3x+4

Step-by-step explanation:

k12 test

Answer:

6[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

First, we can start by figuring out how many nails can be produced by 1 machine in 15 minutes. Since 3 machines can produce 16 [tex]\frac{1}{5}[/tex] nails per 15 minutes, we can figure this out by dividing the number of nails produced by 3.

16 [tex]\frac{1}{5}[/tex] divided by 3 equals [tex]\frac{81}{48}[/tex] which can be simplified to 1 [tex]\frac{11}{16}[/tex]. This means that in 15 minutes, one machine can produce 1 [tex]\frac{11}{16}[/tex] nails. Since 15 minutes is 1/4 of an hour, we multiply the nails and minutes by 4, and  1[tex]\frac{11}{16}[/tex] times 4 equals 6[tex]\frac{3}{4}[/tex]. Therefore, 1 machine can produce 6[tex]\frac{3}{4}[/tex] nails in one hour.

Answer:

Step-by-step explanation:

$10.80 for 4 pounds of apples

How much for 1 pound?

$10.80/4 pounds = cost of 1 pound of apples

answer: $2.70

Answer:

Absolute value means how far are you from zero on the number line.

absolute value of | -18| for example is 18  

this means that you are at -18 on the number line that is 18 points away from zero.

and absolute value of |18 | is 18

this means that you are at point 18 on the positive direction on the number line. That is 18 points away from zero.

Step-by-step explanation:

Answer:

The denominators can be made equal by finding the least common denominator (LCD), which is 42 in this case.

Step-by-step explanation:

Hope i helped!

Answer:

27

Step-by-step explanation:

[tex] {3}^{2} \times {3}^{ - 4} \times {3}^{5} [/tex]

[tex] = 9 \times \frac{1}{ {3}^{4} } \times 243[/tex]

[tex] = 27[/tex]

Answer: ∠ORP and ∠ORN are a linear pair

Step-by-step explanation:

A linear pair is when two adjacent angles create a straight line, which adds up to 180°. Both ∠ORP and ∠ORN are adjacent and form a straight line, so they would be considered a linear pair.

Answer:

6^5

because i used a calculator enjoy

Answer:

same and 3

Step-by-step explanation:

I took test

The slopes of the two lines are 3, 3.

The slope of AB is 3.

The slope of a line passing through points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given two points are [tex]A(-1, -4)[/tex] and [tex]B(2, 5)[/tex].

Therefore, the slope of a line passing through those two points is

[tex]m_{1} = \frac{5 - (-4)}{2-(-1)}[/tex]

⇒ [tex]m_{1} = \frac{9}{3}[/tex]

⇒ [tex]m_{1} = 3[/tex]

Another two points are [tex]C(3, -7)[/tex] and [tex]D(5, -1)[/tex].

[tex]m_{2} = \frac{-1 - (-7)}{5-3}[/tex]

⇒   [tex]m_{2} = \frac{6}{2}[/tex]

⇒   [tex]m_{2} = 3[/tex]

Learn more about slope of a line here: https://brainly.com/question/27869879

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here hope this helps and can i get brainliest please

The interest with the given principal, time period and rate of interest is $3076.

Given that, principal=$50,000, time period =6 years and rate of interest =1%.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest is

Amount =Principal(1+r/100)^t

= 50000(1+1/100)^6

= 50000(1.01)^6

= 53076

So, interest =Amount-Principal

= $3076

Therefore, the interest with the given principal, time period and rate of interest is $3076.

To learn more about the compound interest visit:

https://brainly.com/question/14295570.

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Answer:

If you use millimeters per minute, it would be easier.

Step-by-step explanation:

Answer:$602.23

Step-by-step explanation:

549.98*9.5(.095)=52.248>round nearest cent =52.25

549.98+52.25(tax)= $602.23

Answer:

the inverse function is the option D , x+1

Answer:

2a-3

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

There’s a 50% chance that any given child is a girl, so take .5 to the 4th power and subtract it from 1, which gives you a 93.75% chance that at least one child is a girl.

Step-by-step explanation:

I don't know if it's correct,

so hope it helps

Answer:

D) 1/16

Step-by-step explanation:

use brackets

follow bedmas rule

B - brackets

E - exponent

D - division

M - multiplication

A - addition

S - subtraction

working is shown in the diagram.

Answer:

0.444444

How's that?

Answer:

I agree with orignial

Step-by-step explanation:

1/4+1/4=1/2

Answer:

2.19 *10^7

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10.

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2.19 *10^7

Answer:

7/4?? I didn't understand the question.

Your answer is 200

Hope it helps:)

Answer:

D

Step-by-step explanation:

y = 15 so 2/3 times 15 equals 30/3, which equals to 10

so far, you have 1/5 - 10 = 30

10 plus 30 equals to 40 so basically you have to find what times 1/5 equals to 40

200 times 1/5 is 40

sorry if this is too hard to understand but I tried my best to make it sound easy

Answer:

4.395

do 293x15 then after you get that answer move the decimal 3 places to the left

Step-by-step explanation:

Answer:

B, C, E

Step-by-step explanation:

22:2 is the same as 11:1

as for the others