Determine if the expression -3z2 is a polynomial or not. If it is polynomial, state
the
type and degree of the polynomial.

Answer:

Let's find the area of 1 triangle (this may not be the formula but I'm doing it in a more easier way).

20(base) x 10.5(height) = 210

210 divided by 2 ( x 1/2) = 105

Since there are 4 sides we must multiply the area of 1 triangle four times! Since there are 4 sides of triangles.

105 x 4 = 420

Oh and I almost forgot! We need to find the area of the square below!

20 x 20 = 400!

Now we add both areas of all the triangles and the area of the bottom square:

420 + 400 = 820 in2 is your answer. (we use the unit 2 since we are finding areas and adding them up)

Formula of a triangle:

BH x 1/2

B(base) x H(height) x 1/2 (basically just dividing by 2)

Answer:

Step-by-step explanation:

The function’s average rate of change over the interval from x = 1 to x = 2 is: -2. The correct option b.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

We have the interval from x = 1 to x = 2.

To find the function’s average rate of change over the interval from x = 1 to x = 2 is:

We interpreted the interval in the coordinate form.

The curve from (1, 2) to (2, 0) is a straight line.

And the slope of the line is the average rate of change of the function.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = (0-2) / (2-1)

m = -2/1

m = -2

Therefore, the average rate of change is -2.

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Answer: uhm...

Step-by-step explanation:

2...?

The value for the blanks after calculating the as per the given data is found to be as 4 and 9 respectively.

On solving the question we will get the answer of the final blank as 0.

The question can be rephrased as ,

__x 9 - __ x 4 = ___ - ___ = ___.

Now if we will place 4 in first blank and 9 in second blank we will get the result as follows,

4 x 9 - 9 x 4 = 36 - 36 = 0

Therefore , we will get our desired answer.

A relationship between two quantities or, more broadly, two mathematical expressions that asserts that the quantities have the same value or that the expressions reflect the same mathematical object is referred to as equality.

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Answer:

3 grams

Explanation: To solve you have to divide the mass value by 1000.

3000/1000=3 Grams

I hope this helps :)

Answer:

13

Step-by-step explanation:

The surface area of the pyramid is 568  square inches.

The surface area of the square pyramid is defined as the total area covered by the surfaces required to make the square pyramid. The area is the space occupied by the square pyramid in two-dimensional planes.

The formula to calculate surface area will be calculated by the formula below,

SA=B+12(P × l)

Here, B is the area of the base, P is the perimeter of the base, and l is the slant height.

SA = ( 8 x 8 ) + 12 ( 8 x 4 + 10 )

SA = 64 + 12 ( 32 + 10 )

SA = 64 + 12 x 42

SA = 568 square inches

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Answer:

a) 400% b) 1/4 c) 64

Step-by-step explanation:

Answer:

a. 400%

b. 25

c. 64

Step-by-step explanation:

a. 160 ÷ 40/100

160 × 100 / 40

4 × 100 = 400%

b. 40 ÷ 160%

40 ÷ 160/100

40 × 100/160 = 25

c. 40% × 160

40/100 × 160

4 × 16 = 64

Answer:

Its D

Step-by-step explanation:

Distributive Property

Factoring

Functions

Let's organize what is given to us in the problem.

We are given a function f, defined as f(x) = x² + 3x - 10.

We are asked to find the values of b and c in f(x - 2) = x² + bx + c.

In order to solve the question, we first must find the full function of f(x - 2):

[tex]\displaystyle\begin{aligned}f(x - 2) & = (x - 2)^2 + 3(x - 2) - 10 \\& = \underbrace{x^2 - 4x + 4}_{\text{FOIL}} + \underbrace{3x - 6}_{\text{Distribute}} - 10 \\& = \boxed{ x^2 - x - 12 } \\\end{aligned}[/tex]

∴  [tex]\displaystyle \boxed{ f(x - 2) = x^2 - x - 12 }[/tex]

Now, we can correlate our variables to the f(x - 2) function by comparing them side-by-side:

[tex]\displaystyle\begin{aligned}f(x - 2) & = x^2 - x - 12 \\& = x^2 + bx + c \\& \Rightarrow \boxed{ b = -1 ,\ c = -12 }\end{aligned}[/tex]

∴ we have found the values of b and c.

∴ the value of b is equal to -1 and the value of c is equal to -12.

___

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___

Topic: Algebra I

Unit: Factoring

If you solve the equation and get the same number as yourself, there are infinite solutions, and if you get the wrong equation, there is no solution.

You can see that both slopes are the same (-3). This shows that the lines are parallel without creating a graph. Therefore, the system of equations cannot be solved.

What distinguishes infinitely many solutions from zero? If the equation is wrong, the system has no solution. If the equation statement is true, there are infinitely many solutions.

A linear algebra problem is a linear system of n equations with n unknown variables. A system may have one solution, no solution, or an infinite number of solutions.

solution - all linear equations intersect or intersect at some point in space

No Solution - System is inconsistent and not all linear equations intersect or intersect.

Infinitely many solutions - some linear equations are the same line in space, some variables are unbounded.

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Answer:

-5, 6

Step-by-step explanation:

Since 6 is the highest power, it is the degree, and so we also take the coefficient of that term.

Answer:   B

Step-by-step explanation:   [tex]8x-5x=3x\\3+9=12\\[/tex]

Hope this helps any

Answer:

B. 3x+12

Step-by-step explanation:

8x+3-5x+9

First combine the x. So, 8x-5x=3x

Next combine the 3 and the 9. So, 3+9=12

After you combined like terms your equation now looks like: 3x+12

Hope it helped you.

No, 8, 15, 17 are not Pythagorean triples.

No, 8 15 17 are not Pythagorean triples. A Pythagorean triple is a set of three positive integers a, b, and c such that a2 + b2 = c2. In other words, the sum of the squares of two integers must equal the square of the third integer.

In the case of 8 15 17, if we calculate the sum of the squares of the two smaller integers, 8 and 15, we get

[tex]8^2 + 15^2 = 64 + 225 = 289[/tex].

This does not equal the square of the third integer,

[tex]17^2 = 289,[/tex]

so 8 15 17 are not Pythagorean triples.

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Answer:

D (i hope)

Step-by-step explanation:

When you minus the highest to the lowest it is added by 10 so

160-140= 20

140-110=30

110-70= 40

70-20= 50

I had added 10 to 160 and got 170

Listen ducky:

160-140=20

140-110=30

110-70=40

70-20=50

20+30+40+50+10 (we need to add 10 on every part because of the question), so 10+10+10+20+30+40+50=170

The answer is D, my dear duck

Answer: .

Credit reporting agencies provide a free credit report each year upon request

Step-by-step explanation:

A credit report simply refers to the record of the credit history of a borrower from sources, such as collection agencies, banks, credit card companies, and governments.

It should be noted that an individual will be given one free copy of his or her credit report every year. Therefore, the correct option will be D.

Answer: 60°

Step-by-step explanation: 180 - 120 = 60.

Answer:

30 and 150

Step-by-step explanation:

The first angle is 30 degrees. The second angle is 150 degrees. Here's why:

Explanation:

The first angle will be expressed as x. Since the second angle is 120

degrees greater than the first, it will be expressed as  (x+120). Because they're supplementary, they'll add up to

180: x+(x+120)=180

Combine like terms.

2x+120=180

Subtract 120 from both sides.

2x=60

Divide by 2 to isolate for x.

x=30

Plug your data back in:

30 + (30 + 120) = 180

First angle: 30 degrees

Second angle: 150 degrees

Answer: D) -2x -8

Step-by-step explanation:

Answer: (0, 1), (2,3), (x,x), (-5,x) (I put x's in for the missing numbers)

Step-by-step explanation: Hope this helps!!

Here is the graph:

Answer:

6.5 cm

Step-by-step explanation:

Given the perimeter is 33 cm

Sum the 4 sides and equate to 33

2(3x - 1) + 2(2x + 5) = 33

6x - 2 + 4x + 10 = 33

10x + 8 = 33 ( subtract 8 from both sides )

10x = 25 ( divide both sides by 10 )

x = 2.5

Then

shorter side = 3x - 1 = 3(2.5) - 1 = 7.5 - 1 = 6.5 cm

Answer:

the length of the shorter side is 6.5

Therefore the expression simplified using only positive exponents is 10h^4v^22.

An exponent's sign indicates how many times to multiply or divide a base number. A negative exponent indicates the opposite. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.

A mathematical procedure called multiplication shows how many times a number has been added to itself. The multiplication symbol (x) or (*) are used to denote it. A mathematical process that shows how many equal amounts add up to a given number is called division.

To simplify the expression using only positive exponents, we need to make sure that all the exponents are positive.

We can simplify the expression:

(2h^7v^-3)/(5h^-4v^5)^-5

= (2h^7v^-3)/(1/(5h^-4v^5)^5)

= (2h^7v^-3) * (5h^4v^25)

= 10h^4v^22

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If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

The standard exponential function is expressed as:

y = ab^x

The value of x determines the nature of a graph whether vertical or horizontal stretch.

If x  > 1, it is a vertical stretch

Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

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(a) The distance traveled by motorcycle is 1548 ft.

(b) The distance traveled by motorcycle is 1512 ft.

(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.

What is velocity?

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

Given table is:

t (s)        0       12      24     36     48      60

v (ft/s)   30      28     25     21      25      27

The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:

12(30 + 28 + 25 + 21 + 25)

=12 × 129

= 1548 ft

The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:

12(28 + 25 + 21 + 25 + 27)

=12 × 126

= 1512 ft

The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.

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Answer:

x ≈ 70.6°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{17}{6}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{17}{6}[/tex] ) ≈ 70.6° ( to the nearest tenth )

Answer:

BCA

Step-by-step explanation:

Answer:

It is 50 cm squared hxb/2=a