Choose the product of (3x2 + 7)(6x2 - 4x + 5).​

Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.

See :

The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.

A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.

A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.

In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.

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Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

Answer: 83.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

y-x

8-5 = 5

The value of the expression y - x is 5.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

y - x

The value of y - x when x = 3 and y = 8.

= y - x

= 8 - 3

= 5

Thus,

The value of the expression is 5.

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Answer:

1. a. 2,000

2. b. 10 years

3. a. 6.72937

4. d. 9%

Step-by-step explanation:

1. If 58% are boys, the percentage of girls is:

= 100 - 58

= 42%

That means 840 is 42% of the students in class. The students in class are therefore:

= 840 / 42%

= 2,000 students

2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:

= 300 * 6%

= Birr 18

To get to Birr 180, it would take:

= 180/18

= 10 years

3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:

= 672.937/100

= 6.72937

4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:

= 12/400

= 3%

A year can be divided into three by 4 months. This means that the yearly rate is therefore:

= 3% * 3

= 9%

Answer:

H in terms of c is H = 5c³.

Step-by-step explanation:

Given that:

H = 40 and c = 2

H varies directly to the cube of c.

Which means that,

H ∝ c³

Let,

k be the proportionality constant.

H = kc³

Putting H=40 and c=2

[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]

Dividing both sides by 8,

[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.

Answer:

0.8= 2.1448=2.1379

Step-by-step explanation:

Answer:

0.8/2.1448/2.1379

Step-by-step explanation:

I got right(Plato/Edmentum

Answer:

The radius of the hole is 0.24 feet

Step-by-step explanation:

Firstly, we need to convert the miles to feet

Mathematically;

1 mile = 5,280 feet

4.3 miles is thus;

4.3 * 5,280 = 22,704 feet

Mathematically, the volume of a cylinder is;

V = pi * r^2 * h

here, we want to get r

4200 = 3.142 * r^2 * 22,704

r^2 = 4200/(3.142 * 22,704)

r = 0.24 feet

Answer:

289

Step-by-step explanation:

Raise 17 to the power of 2

Is this what you are asking for

adding 11x and -4x makes it 7x

adding-3y and 3y cancels it out so your left with nothing

adding a negative and a negative keeps it a negative so its 18+17 making it -35

so the answer is C

Answer: $31.50

Step-by-step explanation:

We are told that the price of a baseball card was purchased for $6 but that the value of the baseball card has increased by 425%.

The current value of the baseball card would be:

= $6 + (425% × $6)

= $6 + (425/100 × $6)

= $6 + (4.25 × $6)

= $6 + $25.5

= $31.50

Answer:

11, 17

Step-by-step explanation:

The difference between -7 and -1 is +6, and -1 and 5 is +6 as well. So 5+6 = 11

and 11 + 6 = 17

Answer:

240 pounds.

Step-by-step explanation:

Given that,

Shannon bought 518 pounds of apples.

Bill bought 278 pounds of apples.

We need to find how many more pounds of apples Shannon bought than Bill.

More Apples = Shannon Apples - Bill Apples

= 518 - 278

= 240

Hence, 240 pounds of apples Shannon bought than Bill.

Answer: a = -75

Step-by-step explanation:

i just multiplied both sides by 5, in order to get "a" by itself.

-75 = a

then, just for kicks, we switch it around so that the variable is in front.

a = -75

9514 1404 393

Answer:

  The central angle is about 8.7°.

Step-by-step explanation:

The relation between angle and arc length is ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

  600 = 3950·θ

  θ = 600/3950 radians = (12/79)(180°/π)

  θ ≈ 8.7°

Given:

The expression is

[tex](-5)^7\div  (-5)^2[/tex]

To find:

The simplified form of the given expression so there is only one positive power for the baser -5.

Solution:

We have,

[tex](-5)^7\div  (-5)^2[/tex]

[tex]=\dfrac{(-5)^7}{(-5)^2}[/tex]

Using the properties of exponents, the given expression can be written as

[tex]=(-5)^{7-2}[/tex]                  [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]=(-5)^{5}[/tex]

Here, the base is -5 and the exponent is 5.

Therefore, the correct option is C.

Answer:

x = -3

Step-by-step explanation:

4(2 - 4x) - 3x = 65

Distribute the 4.

8 - 16x - 3x = 65

Combine like terms.

8 - 19x = 65

-19x = 57

Divide by -19 to isolate x.

x = 57/-19

x = -3

Check.

4(2 - 4(-3)) - 3(-3) = 65

4(2 - (-12) + 9 = 65

4(14) + 9 = 65

56 + 9 = 65

65 = 65

The solution of the given linear equation 4(2 - 4x) - 3x = 65 is  -3.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:

4(2 - 4x) - 3x = 65

Multiply the expressions inside the brackets,

8 - 16x -3x = 65

8 - 19x = 65

Subtract 8 from both the sides,

-19x = 65- 8

-19x = 53

Divide both side by -19

[tex]x = \dfrac{-53}{19}[/tex]

Thus, the value of x is -3.

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Answer:

The answer is 1/36

Step-by-step explanation:

Step one:

Given data

sample space= $1, $2,$5,$10,$20,$50

sample size= 6

Required

The probability of choosing 20 and 10 dollar bill

Step two

The probability is

1/6*1/6= 1/36

Answer:

75 Miles

Step-by-step explanation:

Answer:

32−2+8

Step-by-step explanation:

Eliminate redundant parentheses

thats the answer simplified

Answer:

This is NOT a graph :)

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  4(2x^5 +x^2 -3)

Step-by-step explanation:

The only common factor is 4. That factor must be removed from every term to find the expression that goes inside parentheses.

  8x^5 +4x -12 = 4(2x^4 +x -3)

Answer:

1-1d

Step-by-step explanation:

i think that is the answer

Answer:

-1-d

Step-by-step explanation:

YOU WILL NOT FAIL, YOU SHALL PASS

Answer: w^6/9

Step-by-step explanation:

first, i evaluated the powers.

3^-2 x 1 x 1/w^-6

then, i calculated those products.

3^-2/w^-6

then, i just expressed it with a positive exponent.

w^6/3^2

finally, i evaluated that.

w^6/9

Answer:

7

Step-by-step explanation:

Number of shells found = 14

Number of shells lost equals number of shells left :

Let Number of shells lost = x

Using the relation:

Number of shells lost = Number of shells left

x =number of shells found - number of shells lost

x = 14 - x

x + x = 14

2x = 14

x = 14 / 2

x = 7

Number of shells left = 14 - x = 14 - 7 = 7

Answer:

x=4

Step-by-step explanation:

-x=1-5 (subtract 5 from both sides to isolate the x variable)

-x= -4 (1-5= -4)

x=4  (divide both sides by -1 so the x will not be a negative.)

Therefore, your answer will be x=4. Hope this helps! :)

Answer:

4

Step-by-step explanation:

First, let's move "+5" on the other side. We should change "+" on "-":

-x=1-5

1-5=-4:

-x=-4 |• (-1)

x=4