A polynomial function has – 5+ 3t as a root. Which of the following must also be a root of the function?

Answer:

25xy(4+3z)

Step-by-step explanation:

identify common factors

25xy*4+3z*25xy

group common factors

25xy(4+3z)

Answer:

5 with 1 left.

Step-by-step explanation: 7 goes into 36 5 times.

5x7=35

36-35=1 left over.

Step-by-step explanation:

[tex](y - 0) = \frac{1}{10} (x - 10) \\ y = \frac{1}{10} (x - 10)[/tex]

Answer:

see below

Step-by-step explanation:

12^6 / 12^3   = 12 ^(6-3)  12^3

(9^3)^5  = 9^(3*5) =  9 ^ 15

Answer:

50°

Step-by-step explanation:

the sum of the angles of a quadrilateral is 360°

so

2x + 110 + x + 10 + 90 = 360

2x + x = 360 - 110 - 10 - 90

3x = 150

x = 150 : 3

x = 50°

-------------------------

check

50 + 10 + 2 * 50 + 110 + 90 =

360°.

the answer is good

Answer:

x = 50

2x = 110°

(x + 10)° = 60°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°

⇒ 2x° + (x + 10)° + 110° + 90° = 360°

⇒ 2x° + x° = 360° - 110° - 90° - 10°

⇒ 3x° = 150°

⇒ x = 50

Substitute found value of x into the expressions and solve:

⇒ 2x° = 2(50)° = 110°

⇒ (x + 10)° = (50 + 10)° = 60°

The equation y = |x-3| + |x+2| - |x-5| is an absolute value equation

The equivalent equation of y = |x-3| + |x+2| - |x-5|  if -2 < x < 3 is y = x

The equation is given as:

y = |x-3| + |x+2| - |x-5|

The condition is given as:

if -2 < x < 3

Split and solve each term of the absolute value equation.

|x-3| = -(x - 3) = 3 - x....... because x < 3

|x+2| = x + 2 because -2 < x

|x-5| = -(x - 5) = 5 - x....... because x < 5

So, we have:

y = |x-3| + |x+2| - |x-5|

This gives

y = (3 - x) + (x + 2) - (5 - x)

Open the brackets

y = 3 - x + x + 2 - 5 + x

Evaluate the like terms

y = x

Hence, the equivalent equation of y = |x-3| + |x+2| - |x-5|  if -2 < x < 3 is y = x

Read more about absolute value equations at:

https://brainly.com/question/12344256

let's recall Descartes rule of signs, to get the Real Positive ones we start by checking the sign changes for f(x), and to get the Real Negative ones we check the sign changes for f( -x ).

Check the picture below.

Answer:

[tex]\textsf{A.} \quad \textsf{The slope of the line is }\boxed{\dfrac12}[/tex]

Step-by-step explanation:

[tex]\textsf{let}\:(x_1,y_1)=(12,0)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,-5)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-0}{2-12}=\dfrac12[/tex]

[tex]\textsf{The slope of the line is }\boxed{\dfrac12}[/tex]

Answer:

164,340

Step-by-step explanation:

[tex]120n+160500\\120(32)+160500\\3840+160500\\164340[/tex]

Put n=32

the diameter of the mitochondrion= 0.00000031 meter.

the diameter of the chloroplast.

3×mito= chloroplast

3 × 0.00000031

=0.00000091

= chloroplast

= 9.1 × 10^-7m

the imprecise diameter of the chloroplast is 9.1 × 10^-7m.

Answer:

n≈9

n=9.015625

Step-by-step explanation:

64(n+2)=141(5)

Break up the parenthesis.

64n+128=705

Subtract 128 from both sides.
64n=577

Divide 64 from both sides.

577/64

Then you get your answer.

n≈9

The two plans charge the same amount in 11 months.

The plan I would recommend if the plans are contracted for two months is the Fidoll plan.

The equation that represents the amount that would be paid by Kayla if she buys the phone from Rongers is : $127x

Where x represents the number of months

The equation that represents the amount that would be paid by Kayla if she buys the phone from Fidoll  is : $363 + $94x

Where x represents the number of months

The two above equations would be equal when the plan charge the same amount: $363 + $94x = $127x

Combine similar terms

$363 = $127x - $94x

Add similar terms

$363 = $33x

Divide both sides by 33

x = 11 months

Rongers: $127(24) = $3,048

Fidoll = $363 + $94(24) = $2619

I would recommend the Fidoll plan

To learn more about cost, please check: https://brainly.com/question/25879561

The best unit of measurement for Alex to use for the ropes he is going to use at camp would be centimeters because it is a measurement that fits the needs of his knot shop.

A unit of measure is a unit that is used as a reference and international standard on length, weight, height, among others.

In the case of length, there are several units of measurement such as:

For a knot-making workshop in a camp, the ideal would be to have a rope of at least 2 or 3 meters. However, the ideal unit of measurement for teaching about knots is centimeters because knots do not require a large amount of rope to tie.

Learn more about knots in: https://brainly.com/question/15458643

-7(a-3)a

hope it helps...!!!!

Answer:

156

Step-by-step explanation:

39x4 = 156

Simple multiplication :)

Hope this helps, and please mark me brainliest!

Answer:

156

Step-by-step explanation:

p=4 a

Hey there!

8 * (6 - 5)

= 8(6 - 5)

= 8(6) + 8(-5)

= 48 + (-40)

= 48 - 40

= 8

OR

8 * (6 - 5)

= 8(6 - 5)

= 8(1)

= 8

OR EVEN

8 * (6 - 5)

= (8 * ?) - (8 * ?)

= (8 * 6) - (8 * 5)

= 48 - 40

= 8

Thus, your answer is: (8 * 6) - (8 * 5)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

For a regular 17-gon, the measure of the internal angles is:

a =  158.8°

The measure of the sum of the internal angles of a regular figure of N sides is:

(N - 2)*180°

For the case where N = 17, we have:

(17 - 2)*180° = 2,700°

That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:

2,700°/17 = 158.8°

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

Answer:

area of base is 9pi

circumference of base is 6pi

lateral surface 24

surface area is 42

Step-by-step explanation:

Answer: 63 questions

Step-by-step explanation: to find 75% of 84, multiply 84 by .75

Answer:

A fairly weak positive correlation

Step-by-step explanation:

Answer:

B; A fairly weak positive correlation.

Step-by-step explanation:

Tip: You will know it's a negative if the line in the graph can be part of an N.

Answer:

D

Step-by-step explanation:

D .  .79 d would be the same

d- .21d =   (1-.21) * d= .79 d

GH is a tangent to the given circle.

A line that only touches a circle or an ellipse at one point is said to be tangential in geometry. If a line contacts a curve at point P, that point is referred to as the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve.

As per the given diagram:

The line segments AB, AC, DC and EF are drawn in the diagram also a line GH is drawn in the diagram.

A line GH is drawn such that it's extending from both of its end towards infinity, and it touches the circle at only one point, which is G. This satisfies all the conditions for the line GH to be a tangent.

Hence, GH is a tangent to the given circle.

To learn more about tangents, click here:

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#SPJ7

Answer:

12

Step-by-step explanation:

→ Find the total age of the children

15 × 11 = 165

→ Add the mans age

165 + 27 = 192

→ Divide by 16

192 ÷ 16 = 12

Answer:

First know the formula for the area of a circle;

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.

For the first problem, we can see that 12 is our diameter.

And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;

D/2 = R

Replace with actual values;

12/2 = 6, 6 is our radius.

Now we plug this into our formula:

A = π[tex]r^{2}[/tex]

A = 3.14(6^2)

A = 3.14(36)

A = 113.04 centimetres is the area of the circle.

For the second problem, we can see that 18 is our diameter.

And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.

So;

D/2 = R

18/2 = 9, 9 is our radius.

Now we plug this into our formula:

A = π[tex]r^{2}[/tex]

A = 3.14(9^2)

A = 3.14(81)

A = 254.34 inches is the area for this circle.

For the third problem, we can see that our radius is already given, 5.

So now we just simply and easily plug this into our formula;

A = π[tex]r^{2}[/tex]

A = 3.14(5^2)

A = 3.14(25)

A = 78.5 meters is the area for this circle.

Answer:

The answer is D

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary.

A statistical question is one that can be answered by collecting data and where there will be variability in that data

The only one that can have a variety of answers is the last one.

A, B, and C are countable and do Not Vary or change in amount they remain the same. There will always be 12 months in a year. 3 wheels on a tricycle and the amount of stripes in the flag will not change. If the question ask something that can change or vary it is a Statistical question. Like for example "How many minutes do 6th grade students typically spend on homework each week?" and  “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

A Good Statistical Question Produces Data with Variability

A statistical question is one that requires the collection of data with expected variability in it. The data collected changes in value. You can quantify them. If the data could not be measured, then you have to think it over again.

Step-by-step explanation:

M=?

=$104.45-$11

=93.45

$93.45÷0.07

=1335

He used 1335 minutes in month

Hey !

For each value of x determine whether it is a solution to 45 = -9 ( x + 5 )

In the question we have given an equation i.e. :

In the question values of x are also given i.e. :

In this question we have to determine whether given value of x are solution fo the given equation or not .

We are solving this question by substituting given value of x in the equation if equation satisfied then it means that the value for x is solution of the equation .

1) Value of x as 5 :

Now substituting value of x as 5 :

Therefore , 5 is not the solution for equation .

2) Value of x as -7 :

Now substituting value of x as -7 :

Therefore , -7 is not the solution for equation .

3) Value of x as 1 :

Now substituting value of x as 1 :

Therefore , 1 is not the solution for equation .

4) Value of x as -4 :

Now substituting value of x as -4 :

Therefore , -4 is not the solution for equation .

[tex] Keep \: Learning[/tex]

Answer:

3/4

Step-by-step explanation:

There are 13 clubs in a standard 52-card deck

That means that 39 cards out of the 52 are not a club ( because 52-13=39)

So the probability of you not being dealt a club is 39/52 or 3/4