the inverse of the function

9514 1404 393

Answer:

Step-by-step explanation:

Each root r gives rise to a binomial factor (x-r). Each complex root also has a conjugate root, so roots ±ri give rise to a binomial factor (x^2 +r^2).

__

1. p(x) = (x -(-6))(x -3)(x -5)

  p(x) = (x+6)(x-3)(x-5)

__

2. p(x) = (x -2)(x -(-2))(x^2 +6^2)

  p(x) = (x -2)(x +2)(x^2 +36)

__

If you want standard form, you can start with factored form, then multiply it out.

3. p(x) = (x -1)(x +1)(x -7) = (x^2 -1)(x -7) = (x^2 -1)x +(x^2 -1)(-7)

  p(x) = x^3 -7x^2 -x +7

__

4. p(x) = (x -3)(x +3)(x^2 +2^2) = (x^2 -9)(x^2 +4)

  p(x) = x^4 -5x^2 -36

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

First Of All We Have Factorize These Two Numbers And Then We Will Find Their Highest Common Factor

16–2×2×2×2

24–2×2×2×3

So The Highest Common Factor is 8

That's Because Both Can be Divided by 8 and 8 is their Highest Common diviser.

Hope This Helps

Answer:

attached is the answer :)

Step-by-step explanation:

The length of the tangent AB is [tex]\sqrt{2a^{2}+2b^{2} }[/tex] if the radii of the largest circle is a and the radii of the smallest one is b.

It is a line that touches a single point on the circle.

Firstly we have to draw a perpendicular from O to the radii of the smallest circle. In this way AOLB becomes a rectangle. We let the point where the bisector intersect the radii as L.

OA=a

Lb=a also

O'L=b-a

In triangle OLO' we use pythagoras to calculate the value of OL which wil then equal to AB so,

OL=[tex]\sqrt{(b-a)^{2}+(a+b)^{2} }[/tex]

=[tex]\sqrt{2a^{2}+2b^{2} }[/tex]

It will be the length of AB also.

Learn more about circles at https://brainly.com/question/24375372

#SPJ2

Given:

Whole numbers are next to each other and they are called consecutive numbers.

To find:

The expression for the other number if the larger of two consecutive numbers is n.

Solution:

According to the given definition, whole numbers are next to each other and they are called consecutive numbers. It means the difference between two consecutive interest is 1.

Larger number - Small number = 1

[tex]n-\text{Smaller number}=1[/tex]

Add smaller number on both sides.

[tex]n=1+\text{Smaller number}[/tex]

Subtract 1 from both sides.

[tex]n-1=\text{Smaller number}[/tex]

Therefore, the expression for the other number is n-1.

Answer:

Venn Diagram

Step-by-step explanation:

Its a graph that's used in listing similarities and differences the other two aren't graphs but math terms

Answer:

x + 3

Step-by-step explanation:

Answer:

3m^4

Step-by-step explanation:

x^y

x is the base and y is the exponent

(5,-2)

that's all. up and down basically means that the point is moving along the x axis.

Answer:

more

Step-by-step explanation:

brainliest please

Answer:

yes though i am not completely sure

Step-by-step explanation:

Answer:

No one because They bought the same amount. 2/4 is equvalent to 1/2, meaning they both are half a pound. :)

Step-by-step explanation:

If this helps pls mark me brainliest

Have a great day :)

Answer:

nanogon have 27 diagnals

Answer:

Step-by-step explanation:

(3x+4y)(x+y)

Solution=3x^2+4xy+3xy+4y^2

=3x^2+7xy+4y^2

28 to 42 means 28/42

We now reduce 28/42 to lowest terms.

28 ÷ 7 = 4

42 ÷ 7 = 6

We now have 4/6.

We now reduce 4/6.

4 ÷ 2 = 2

6 ÷ 2 = 3

Final answer: 2/3

Answer:

35 Calories

Step-by-step explanation:

15 is 1/4 of 60

60/15 = 4

140/4 = 35

Since 15 is 1/4 the size of 60, the number of calories will be 1/4 the amount as well. That is why you divide 140 by 4 to find the total calories for the mass of 15.

Answer:

The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

Step-by-step explanation:

Let X = weight of pilots.

It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.

Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:

[tex]P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52[/tex]

Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

Answer:

126

Step-by-step explanation:

70+56

Answer:

3x+5y=10 hope this helped !!

Answer:

Convert the fraction to a decimal, then multiply by 100100.

−70%

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

There is -70% change when value change from 10 to 3.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

The original value is 10,

The value is change to 3

The difference of changed value and original value =  3 - 10 = -7

The percentage of change = (-7/10)x100

                                             = -70%

The change in percent is -70%, negative sign shows that value decreases.

To know more about Percentage on:

https://brainly.com/question/24120406

#SPJ2

Answer:

Step-by-step explanation:

(5, 14.6)

(10, 14.1)

w is equal to 99 cause is u subtract 33 fro it it equals 66

Answer:

W = 99

Step-by-step explanation:

To solve W, you need to isolate W. Add 33 to both sides:

W-33=66

W=99

Answer: $1.75

Step-by-step explanation:

Increase 1.25 by 4.25

5.31

Presently increase 1.25 by 2.85

3.56

Take away 3.56 from 5.31

1.75

Answer:

Beef= 5.75

Turkey=4.35

Beef cost is $1.40 more than turkey.

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The line of reflection has a slope of -1/2, so each image point will be on a line of slope 2 through the corresponding pre-image point. It may be easiest to count the grid squares between the pre-image point and the line, then again from the line to the location of the image point. Those distances will be the same.

The reflected image is shown in the first attachment.

__

If you want to do this algebraically, the formulas for finding the reflected points are given in the second attachment. For the given line, these become ...

  (x, y) ⇒ (4/5 + 3/5x -4/5y, 8/5 - 4/5x - 3/5y)

Example:

  C(-3, -5) ⇒ ((4 +3(-3) -4(-5))/5, (8 -4(-3) -3(-5))/5) = (15/5, 35/5) = C'(3, 7)

Here is the set up:

Side 1 is 4x.

Side 2 is 5x + 3

Side 3 is 5x + 1

The perimeter is 102.

Perimeter = side 1 + side 2 + side 3

102 = 4x + 5x + 3 + 5x + 1

102 = 14x + 4

Take it from here.

Answer:

x= -5

Step-by-step explanation:

3х - 4<-19=

add +4 to both sides

3x<-15

divide 3 on both sides

x<-5

might have to rewrite the final answer

Answer:

4.5

Step-by-step explanation:

2+1=3

2/3+5/6=1.5

3+1.5=4.5