For h(x) = x3 + 2x, find h(4).

Answer:

31x³-60x²+7x-75

Step-by-step explanation:

(30x³-49x³+7x)+(50x³-60x²-75)

(-19x³+7x)+(50x³-60x²-75)

-19x³+50x³+7x-60x²-75

31x³-60x²+7x-75

Answer:

A negative value or minus sign (-).

Step-by-step explanation:

A grouping symbol can be defined as a set of symbol used for organizing multiple numbers or variables in an algebraic equation.

In Mathematics, there are basically three (3) main grouping symbols and these are;

1. Parentheses ( ).

2. Braces { }.

3. Brackets [ ].

Additionally, grouping symbols are used to determine the order of operation when solving an algebraic equation.

Hence, when distributing a negative sign in front of grouping symbols, you must multiply each term inside the grouping symbols by a negative value or minus sign.

For example, given the algebraic equation X = 20 - 2(-1 + 2 - 5)

We would simplify the numbers in the parentheses (grouping symbol) by multiplying with -2;

X = 20 + 2 - 2 - 10

X = 20 - 10

X = 10

Example 2;

-(-1 - 2 + 3 - 4)

We multiply each term inside the grouping symbol by the minus sign

1 + 2 - 3 + 4 = 4.

Answer:

9

Step-by-step explanation:

f(x) = 2x - 10

8 = 2x - 10

18 = 2x

9 = x

Best of Luck!

Answer:

see below

Step-by-step explanation:

f (x) = 2x – 10

Let f(x) = 8

8 = 2x-10

Add 10 to each side

8+10 =2x-10+10

18 =2x

Divide by 2

18/2 = 2x/2

9 =x

If you mean

f(8) = ?

Let x=8

f(8) = 2*8-10

    = 16-10

    = 6

f(8) = 6

Answer:To subtract 7 from 102, you have to regroup. You subtract 2 from 100, and 2 from 7, so it is 100-5. 100-5 is 95. The answer is 95. If you don't understand, tell me in the comments. This is just one method of subtracting.

Step-by-step explanation:

Answer:

Solve x2 - 16x + 60 = -12 by completing the steps.

First, subtract

60

from each side of the equation.

Next, add

64

to each side of the equation to complete the square.

Now, write x² - 16x + 64 = -8 as

✔ (x - 8)² = -8

Take the square root of both sides to get the solutions

8

2

Step-by-step explanation:

Answer:

8 ± 2i√2

Step-by-step explanation:

(x - 8)² = -8

√(x - 8)² = √(-8)

x - 8 = ±(2i√2)

x = 8 ± 2i√2

Answer:

3.212*10^3

Step-by-step explanation:

you moved the decimal place 3 times

Scientific notations are the way through which a very small or a very large number can be written in shorthand. The height of angel falls, the tallest waterfall in the world in scientific notation is 3.212 × 10³ feet.

Scientific notations are the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

Given that the height of the angel falls is 3212 feet. Therefore, the height of the angel in the scientific notation is,

3212 feet

Multiply and divide the number by 1000, therefore, we can write,

= (3212/1000) × 1000 feet

= 3.212 × 1000 feet

= 3.212 × 10³ feet

Hence, the height of angel falls, the tallest waterfall in the world in scientific notation is 3.212 × 10³ feet.

Learn more about Scientific notation here:

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Answer: the probability is 5/6

Step-by-step explanation:

There is only 1 Vowel, so it’s gonna be 5/6 For a vowel to be picked.

Answer:

Ten times greater.

Step-by-step explanation:

The value of 5 in 594,631 is a five hundred thousand

The value of the 5 in 859,463 is fifty thousand

Since 500,000 only has one more zero than 50,000, The 5 in 594,631 is 10 times greater than the 5 in 859,463.

Hope this helps!!!

Answer:

Step-by-step explanation:

Cylinder volume formula: V= πr²h

Given

Volume of soup pod

Answer:

[tex]\huge\boxed{\sqrt[3]{64}=4}[/tex]

Step-by-step explanation:

We know:

[tex]\sqrt{a}=b\iff b^2=a\qquad\text{for}\ a\geq0\\\\\sqrt[3]{a}=b\iff b^3=a[/tex]

We have:

[tex]\sqrt[3]{64}=4\ \text{because}\ 4^3=4\cdot4\cdot4=64[/tex]

In the given figure QT is of 16 units.

A line segment has two end points unlike a line which can extend indefinitely in both the directions.

According to the given question S is between Q and T and R is the midpoint of QS. RS=4 And RT= 12 we have to find QT.

As R is the midpoint of QS It will be twice of RS which

= 8 units.

And if RS is 4 units then QR is also 4 unit as R is the midpoint.

QT = QR + RT.

QT = 4 + 12

QT = 16 units.

learn more about lines here :

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Answer:

C; P v q

Step-by-step explanation:

Here, we want to give the logical equivalent of the statements.

Firstly,

let p = memorial day is in July

q = parallel lines intersect

It should be noted that on logic, the term or can be represented by V

Thus, the statement here can be written as;

P V q

Answer:

Their profit was $20. Hope it helps.

Answer:

155.55

Step-by-step explanation:

total = 145*1.07 = 155.55

Answer:

2-241x

Step-by-step explanation:

Answer:

Step-by-step explanation:

 let x be the no of miles

and y be the cost

cost of the first SUV

y=25535+0.18x-----1

cost of the second SUV

y=32395+0.13x------2

let us solve for x in equation 1 and 2

y=25535+0.18x-----1

y=32395+0.13x------2

subtraction 1 from

-y=-25535-0.18x

y=32395+0.13x

0=6860-0.05x

6860=0.05x

divide both sides by x

6860/0.05=x

x= 137200 miles

Answer:

You multiply a factor in a multiplication equation.

Answer:

42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

1. i just took the test

We are asked what 7 would equal and the first row is 2 and 12.

you would need to see what 2 divided by 12 is.

2 divided by 12 is 6.

then you would need to see what 6x7 is.

6x7 is 42

so the answer is 42

Answer:

they answer would be y = 3x + 2

Step-by-step explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

Answer:

The cost to rent a bike

Step-by-step explanation:

Answer: the cost to rent a bike

Step-by-step explanation:

Answer:

x=40

Step-by-step explanation:

2x+7+x-10+63=180

3x=120

x=40

Answer:

x = ±2√3

Step-by-step explanation:

Step 1: Write equation

x² - 7 = 5

Step 2: Solve for x

Add 7 to both sides: x² = 12

Square root both sides: x = ±√12

Simplify: x = ±2√3

Step 3: Check

Plug in x to verify if it's a solution.

(2√3)² - 7 = 5

4(3) - 7 = 5

12 - 7 = 5

5 = 5

(-2√3)² - 7 = 5

4(3) - 7 = 5

12 - 7 = 5

5 = 5

Answer:

Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question

y = 20 when x = 8

So we have

If y is 20 when x is 8

Then when y is - 2 x is

[tex] \frac{ - 2 \times 8}{20} = - \frac{16}{20} = - \frac{4}{5} \\ [/tex]

We have the final answer as

[tex]x = - \frac{4}{5} \\ [/tex]

Hope this helps you

Answer:

the second and fourth option, remember y = f(x) = a + bx

Step-by-step explanation:

[tex]\tt Step-by-step~explanation:[/tex]

[tex]\tt~1:[/tex]

First, let's observe the diagram. line a is parallel to line b, so that means ∠2 and ∠6 are congruent. They are corresponding angles.

[tex]\tt 2:[/tex]

If ∠2 and ∠6 measures 78º, then that means the angles that are vertical to these angles, ∠4 and ∠8, are also congruent to each other.

[tex]\large\boxed{\tt Our~final~answer:Angles~4,6,8}[/tex]

If you would like to know what the other angles' measures are, you could simply subtract 78º from 180. A straight line measures 180º.

[tex]\large\txt{\tt 180-78=102}[/tex]

[tex]\small\boxed{\tt Other~angles'~measures:~102}[/tex]

Answer:

x is greater than or equal to -26

Step-by-step explanation:

We can use distributive property to solve the equation.

-6(x+4) in distributive property is:  -6x-24

-6x-24 is less than or equal to -5x+2

+6x                                             +6x

-24 is less than or equal to x+2

-2                                              -2

-26 is less than or equal to x

This means x is greater than or equal to -26

On the graph you would put a closed circle on -26 and point to the right.

Hope this helps! Good luck on your quiz!