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Step-by-step explanation:

polynomials are closed under addition,subtraction,mutiplication except division

The polynomials are closed under addition, subtraction, mutiplication except division.

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

Polynomials are expressions involving variables raised with non negative integers and coefficients (constants who are in multiplication with those variables) and the constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

The polynomials are closed under addition, subtraction, mutiplication except division.

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Answer:

P=log(2)+log(3)+4.log(x)

Step-by-step explanation:

To solve the problem, we need to recall the following properties of the logarithms:

[tex]log(x.y)=log(x)+log(y)[/tex]

[tex]log(x^y)=y.log(x)[/tex]

We have the expression:

[tex]P=log(6x^4)[/tex]

Factor 6=2*3:

[tex]P=log(2\cdot 3x^4)[/tex]

Apply the property of the product:

[tex]P=log(2)+log(3)+log(x^4)[/tex]

Now apply the property of the exponent:

P=log(2)+log(3)+4.log(x)

Answer:

r = 2.04%

Step-by-step explanation:

r = n{(A/P)^1/nt - 1}

Where,

r = interest rate = ?

n = number of periods = 12

A = future value = $22,960

P = present value = $20,960

t = time = 4 years

r = n{(A/P)^1/nt - 1}

r = 12{(22,960/20,987)^1/12*4 - 1}

= 12{(1.09)^1/48 - 1}

= 12{(1.09)^0.02 - 1}

= 12 (1.0017 - 1)

= 12(0.0017)

= 0.0204

r = 0.0204 × 100

= 2.04%

r = 2.04%

Note: It the given equation the coefficient of [tex]x^2[/tex] must be -16 instead of 16.

Given:

Consider the height  of the water balloon over  time can be modeled by the  function

[tex]y=-16x^2+160x+50[/tex]

To find:

The maximum height of the water balloon  after it was thrown.

Solution:

We have,

[tex]y=-16x^2+160x+50[/tex]

Here, leading coefficient is negative. So, it is a downward parabola and vertex of a downward parabola, is the point of maxima.

If a parabola is [tex]f(x)=ax^2+bx+c[/tex], then

[tex]Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]

Here, [tex]a=-16,b=160,c=50[/tex]. So,

[tex]-\dfrac{b}{2a}=-\dfrac{160}{2(-16)}[/tex]

[tex]-\dfrac{b}{2a}=-\dfrac{160}{-32}[/tex]

[tex]-\dfrac{b}{2a}=5[/tex]

Now, put x=5 in the given equation.

[tex]y=-16(5)^2+160(5)+50[/tex]

[tex]y=-16(25)+800+50[/tex]

[tex]y=-400+850[/tex]

[tex]y=450[/tex]

The vertex of the given parabolic equation is (5,450).

Therefore, the maximum height of the balloon is 450 units after 5 units of time.

Answer:

4.7, 4.4, 4.1

Step-by-step explanation:

Find the pattern in the given numbers. Each number is .3 less than the previous number so you would keep subtracting .3 each time.

Answer:

Easy. 4.7,4.4,4.1. You're just subtracting .3.

Step-by-step explanation:

Answer:

D; A⊂U is true and A'={9, 10, 12, 14}

Step-by-step explanation:

A={11,13}

Because those numbers are included in the statement U={9,10,11,12,13,14}, we can say that it's true that A belongs to U.

A' is the numbers of U not including A. So, it would just be U without the 11 and 13, or {9,10,11,12}

Answer:

$95 in one day

Step-by-step explanation:

$475 divided by 5 is $95.

I apologize if I'm wrong

Answer:

#1 A

#3 D

#4 C

GOOD LUCK

Answer:

A=(4−10,−7+5)=(−6,−2)

Answer:

B. (7,-8)

Step-by-step explanation:

Answer:

$8 per hr

Step-by-step explanation:

divide $96 by 12 hrs

Answer:

$20

Hope this helps! :)

Answer:

22: 6,   23:  1/6    24: 10     25: 50

Step-by-step explanation:

Answer:

Let's solve your equation step-by-step.

−5(x+1)+3x−3=−14

Step 1: Simplify both sides of the equation.

−5(x+1)+3x−3=−14

(−5)(x)+(−5)(1)+3x+−3=−14(Distribute)

−5x+−5+3x+−3=−14

(−5x+3x)+(−5+−3)=−14(Combine Like Terms)

−2x+−8=−14

−2x−8=−14

Step 2: Add 8 to both sides.

−2x−8+8=−14+8

−2x=−6

Step 3: Divide both sides by -2.

−2x

−2

=

−6

−2

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

-5(x + 1) + 3x - 3 = -14

Distribute within parenthesis

-5x -5 + 3x - 3 = -14

Combine like terms

-2x - 8 = -14

Add 8 to both sides

-2x = -6

Divide -2 by both sides

x = 3

I hope this helps :)

Answer:

serve; the

Step-by-step explanation:

In the given sentence the error is in the use of the punctuation mark. The comma has been used in the sentence that is not correct. The correct punctuation mark will be a semi-colon (;). A semicolon is used to bring a pause between two independent clauses. These clauses or the part of the sentences are closely related and have equal importance in the sentence.

Answer:

B

Step-by-step explanation:

Negative and positive rule

Answer:

15 miles in one hour

Step-by-step explanation:

Since we know that we need twelve 1/12 hours to make one full hour, we can multiply.

5/4 * 12

5/4 * 12/1

60/4

15

Best of Luck!

Answer: 15 miles

If he can already run 5/4 miles in 1/12 of an hour, we multiply.

First, let's simplify 5/4 to make it easier.

5/4 = 1 1/4.

Alex ran 1 1/4 miles in 1/12 of a hour.

Now, let's multiply 1 1/4 by 12.

1 1/4 x 12 = 15.

Answer = 15 miles. Hope this helps!

Answer:

2J-70

Step-by-step explanation:

Answer:

11 6/9

Step-by-step explanation:

Daniel works in a market

He has large bags of potatoes that weighs 26 1/4

Daniel is going to sell them in smaller bags 9/4 pounds each

Therefore the number of smaller bags of potatoes in which Daniel would have filled can be calculated as follows

= 26 1/4 ÷ 9/4

= 105/4 ÷ 9/4

= 105/4 × 4/9

= 105/9

= 11 6/9

Answer:

20°

Step-by-step explanation:

Step 1:

3x - 10 = x + 30       Alternate Interior ∠'s

Step 2:

2x - 10 = 30      Subtract x on both sides

Step 3:

2x = 40       Add 10 on both sides

Step 4:

x = 40 ÷ 2     Divide

Answer:

x = 20°

Hope This Helps :)

Answer:

33.8328

Step-by-step explanation:

Divide the length value by 3.281

Answer:

The coldest temperature at Antarctica is -89.6 degrees celsius

Step-by-step explanation:

Here, we are interested in calculating the coldest temperature in Antarctica.

In the question, we are simply told that the coldest Antarctica temperature was 40.6 colder than the average winter temperature at the south pole.

The average winter temperature at south pole = -49 degree celsius

The coldest temperature is thus -49-40.6 = -89.6 degrees celsius

Answer:

95

Step-by-step explanation:

Answer:

Here's how to solve it.

Step-by-step explanation:

Ok so, a negative integer and positive ALWAYS equals a negative.

Negative and negative equals positive because it cancels out.

Positive and Positive equals positive.

So to answer your question What negative number times by a positive equals -10?

Well 5 * 2 = 10 Right?

So -5 * 2 = -10

Hope this Helps.

Answer:

Step-by-step explanation:

3. Area of triangle

4. Number of bricks

Answer:

192

Step-by-step explanation:

for question 3

Because

Area=Length=With

Point C

Hope This helps!! : }

The point D represents the product of the three integers.

Number line is defined as the straight line drawn horizontally where the integers are placed at an equally spaced way.

Integers includes natural numbers, 0 and negative of the natural numbers.

Given is the three numbers 5, -2 and -1.

We have to find the product of these three numbers.

When multiplying integers, negative multiplied to negative and positive multiplied to positive gives positive. If one of the number is negative and other is positive, then the result is negative.

(5) (-2) (-1) = (5 × -2) (-1)

                = (-10) (-1)

                = 10

Hence the product of the three integers 5, -2 and -1 is 10 which is marked as point D on the number line.

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Answer:

I think it is 4.48.

Explain:

6.16/22 is 0.28    Then 0.28 times 16 is 4.48.

Can I get a Brainliest?

Answer:

Hajj not connects us with khana kaeba.

Answer:

1/16 my bad

Step by step explanation:

Answer:

Its D. 1/16

because you flip 8 to make the exponent positive. then you solve and you get 0.0625 which is 1/16

Answer:

B.)Distribute –4 to get –8x – 1 > 5 – 3x.

Step-by-step explanation: