Find the sum of these polynomials (x2-5x+3)+(2x2-3x-7)

Answer:

You would be correct the GCF is [tex]8x^5[/tex].

Step by Step Explanation:

So the GCF is basically a value that can go into or be factored out of two or more other numbers.

For instance, the greatest common factor of 10 and 20 is 10, since 10 is the greatest number that goes into 10 and 20 resulting in a integer.

Its a bit different with variables and exponents.

For instance, normally a number needs to be able to be divided nicely by the GCF. In exponents, the lowest exponent is the one you use.

If you had x^4 x^6 x^8, the GCF is x^4. It doesnt need to divide each exponent, but needs to be able to be subtracted by it,

You can think of it like how division and multiplication works with exponents.

With variables, it is similar to normal numbers.

The coefficent of the GCF must go into the coefifcent of the variables.

The variables also have to be the same, for instance x can never have a GCF of y.

So remembering this, lets find the GCF of your problem

We see the expoent of the first number is 7. The exponent of the other is 5.

Because we look at the lowest exponent as the GCF, the exponent 5 would be the GCF of the two values.

Then looking at the 8x and 24x, we know that 8x must be the GCF, since 8 equally divides between the 8 and 24, and they both have a x.

So combining the 5 exponent and the 8x:

[tex]8x^5[/tex]

So this is your answer.

Answer:

Step-by-step explanation:

1. When two chords intersect each other inside a circle, the products of their segments are equal. ... One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.

2. If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle . In the figure, m∠1=12(m⌢QR+m⌢PS) .

3. The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.

Area of square A = 16 cm

side of square A a1 = 4cm

side of square A = 2/3(2/3a3)

a1= 4/9a3

a3 = 9cm

Area of square C = 9×9= 81 Cm²

Answer:

c and d

Step-by-step explanation:

Answer: Domain

Step-by-step explanation: I just did this question, and got it correct by putting domain.

The input or values that you could put into an expression or

equation is called a Domain

Domain is set of values in a function . The range of the function is the set of values that the function assume .

Since , domain refers to the set of possible input values , it consists of all the input values shown on the x axis .

The input or values that you could put into an expression or

equation is called a Domain

learn more about Domain:

https://brainly.com/question/13113489?referrer=searchResults

#SPJ2

Answer:

1=65+72

=137 degrees,,,

Answer:

Step-by-step explanation:

All this question is asking you to do is distribute through the parenthesis to simplify. Doing that gives us

f(n) = 7 - 3n + 3 and

f(n) = 10 - 3n or

f(n) = -3n + 10, choice D.

The representation of the function of the given arithmetic sequence 7 - 3(n - 1) is f(n) = -3n + 10 thus option (D) is correct.

An arrangement known as a function connects inputs to essentially one output.

The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.

As per the given,

a_n = 7 - 3(n - 1)

f(n) = 7 - 3n + 3

f(n) = -3n + 10

Hence "The representation of the function of the given arithmetic sequence 7 - 3(n - 1) is f(n) = -3n + 10".

For more about the function,

brainly.com/question/23712366

#SPJ2

Answer:

30 cubic feet

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Height of cone (h) = 10 feet

Base surface area = π[tex]r^{2}[/tex] =  9 sq. feet

So we can calculate the volume of cone by using following formula,

volume of cone = (1/3)π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

Volume of cone = (1/3) 9 × 10

= 3 × 10

= 30 cubic feet

Answer:

-1.2

Step-by-step explanation:

3n + 5 = 1/2(11n + 16)

3n + 5 = 5.5n + 8

5 = 2.5n + 8

-3 = 2.5n

-3/2.5 = n

-1.2 = n

Hope this helps!

Answer:

[tex]n=-1.2[/tex]

Step-by-step explanation:

First, solve both sides of the equation:

[tex]3n+5=\frac{1}{2} (11n+16)[/tex]

[tex]3n+5=(\frac{1}{2} )(11n)+(\frac{1}{2} )(16)[/tex] (Distribute)

[tex]3n+5=\frac{11}{2} n+8[/tex]

Then, subtract 11/2 n from both sides:

[tex]3n+5-\frac{11}{2}n=\frac{11}{2} n+8-\frac{11}{2} n[/tex]

[tex]\frac{-5}{2}n+5=8[/tex]

Now, subtract 5 from both the sides:

[tex]\frac{-5}{2} +5-5=8-5[/tex]

[tex]\frac{-5}{2} n=3[/tex]

For the last step, multiply both the sides by 2 / -5

[tex](\frac{2}{-5} )*(\frac{-5}{2} )=(\frac{2}{-5} )*(3)[/tex]

[tex]n=\frac{-6}{5}[/tex]

Convert it to decimal:

[tex]n=-1.2[/tex]

Answer:

lateral surface area(As)=2πrh or

=PH

Step-by-step explanation:

hope this helps :)

To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.

Let's analyze each option:

A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)

In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.

B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)

Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.

C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)

Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.

D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)

In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.

To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.

Option C is correct answer

For more question function

https://brainly.com/question/21688627

#SPJ8

Answer:

x=10 y=90 z=20

Step-by-step explanation:

Answer:

1809.6

Step-by-step explanation:

Volume of a cylinder

V= pie* r ^2*h

Answer:

v = 1,809.56

Step-by-step explanation:

Formula=

V = Pi (3.14) r^2 h

pi 6^2·16

Geometry

C would be the answer because the angles added up together is 180 degrees, meaning that this is a three-way supplementary angle.

The required expression that represents a correct solution for the angle problem given in the figure is 3x + 80° + 2x = 180°. Option C is correct.

Given that,
A figure is shown, Describing the proportion of angle.
A solution-giving equation is to be determined.

The angle can be defined as the one line inclined over another line.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Since In the figure, we have seen three proportions of the angle.
Now the sum of the angle on the is 180, So,

3x +80 +2x = 180 - - - - (1)

The above equation  is the required expression for the figure
and the solution is,m
5x +80 = 180
5x = 180 - 80
x = 100 / 5
x = 20
now
2x = 2 * 20 = 40 ; 3x = 3*20 = 60
When putting the above values in equation 1 we get
180 = 180,

Thus, the required expression that represents a correct solution for the angle problem given in the figure is 3x + 80° + 2x = 180°. Option C is correct.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ5

[tex] \huge\mathfrak{ \underline{Answer : }}[/tex]

The equation of line is

[tex] \hookrightarrow \: y= 4x + 7 [/tex]

let's plug the value of " x as 0 " to find the coordinate of y at the " x - intercept "

therefore, the coordinates of x- intercept are :

[tex] \large \boxed{(0,7)}[/tex]

now, let's plug the value of " y as 0 " to find the coordinate of x at the " y - intercept "

therefore, the coordinates of y - intercept are :

[tex] \boxed{ \bigg( \frac{ - 7}{4} ,0 \bigg)}[/tex]

___________________________________

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

NA

a = 53

Step-by-step explanation:

A bisector creates two equal angles. Set them equal to each other.

5a - 160 = 2a - 1  ( subtract 2a from both sides)

3a = 159               (add 159 to both sides)

a = 53                   (divide by 3)

Answer:

152

Step-by-step explanation:

All segments in a triangle add to 180. 1

8+10+x=180

x=152

The length x using Pythagoras theorem is 15 unit.

According to the Pythagorean theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.

Given:

Hypotenuse = 18 unit

Perpendicular = 10 unit

using Pythagoras theorem

H² = P² + B²

18² = 10² + B²

324 = 100 + B²

324 - 100 = B²

B² = 224

B= 14.966 unit

B= 15 unit

Thus, the measure for x is 15 unit.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ7

Answer: The answer to this is 7.

H² = B² + P²

(25)² = (24)² + p²

625 = 576 + p²

p² = 49

p = 7

Step-by-step explanation:

diameter(d): 18

radius(r): 18 ÷ 2 = 9

area of a semi-circle:

[tex]\frac{\pi {r}^{2}}{2}[/tex]

[tex]= \frac{\pi \times 9 \times 9}{2} = 127.23[/tex]

Answer:

5.50 Each

Step-by-step explanation:

Answer:

Step-by-step explanation:

3P + 4N = 28

6P+ 8N = 56

4P +8N  52

2P     = 4

P = 4/2 = 2  = $2

3(2)+4N = 28

4N = 28-6=22

N = 22/4 = 5.5= $5.50= cost of one notebook

Answer:

1.025%

Step-by-step explanation:

1.025 / 100 = 1.025%

Hope this helps

Sarah read 30 pages of the book

Answer:

7

Step-by-step explanation:

each way from 10 to 7 is 3 and 4 to 7 is 4

Benefit she gets monthly is = 42.25-12.5= 29.75

annual value to Tamsen of this benefit= 12×29.75 = 357$

Given:

Total cheese = 12 pound

Cheese in each package = [tex]\dfrac{1}{2}[/tex] pounds

To find:

The number of cheese packages.

Solution:

We need to divide the total amount of cheese by quantity of cheese in each package to find the the number of cheese packages.

[tex]\text{Number of cheese packages}=\dfrac{\text{Total cheese}}{\text{Cheese in each package}}[/tex]

[tex]\text{Number of cheese packages}=\dfrac{12}{\dfrac{1}{2}}[/tex]

[tex]\text{Number of cheese packages}=12\times \dfrac{2}{1}[/tex]

[tex]\text{Number of cheese packages}=24[/tex]

Therefore, there are 24 number of cheese packages.

Answer:

8(n-2)

Step-by-step explanation:

Difference means subtraction

Times is multiply

First find the difference of n and 2

(n-2)

Then multiply by 8

8(n-2)

Answer:

Step-by-step explanation:

As,

Integers includes whole numbers, and negative of the whole numbers.

And Rationals includes every fraction, Integers and negative fraction.

So,

170, -25, and 74 are both Integers and Rationals.

But,

Only 3/10 is a fraction included only in rationals and not in Integers

Answer:

8 hours max

Step-by-step explanation:

470-30=440

440/55=8

Answer:

4374

Step-by-step explanation:

Since, we are given table for x and y values

and table for average rate of changes

we can see the pattern of average rate of change

average rate of change for 5 to 6 is three times average rate of change for 4 to 5

but we have to find

average rate of change for 7 to 8

so, using same pattern

average rate of change for 6 to 7 is three times average rate of change for 5 to 6

average rate of change for 7 to 8 is 3*3( average rate of change for 5 to 6)

so, we can plug value

average rate of change for 7 to 8 is 3*3*486

average rate of change for 7 to 8 is 4374