Mathematics College

What is the value of 12(a • b + a2) + 6 if a = 3 and b = −4?

A: −30
B: −42
C: −54
D: 330

Answers

Answer 1

Answer: -30 ==> A

Step-by-step explanation:

a = 3 and b = −4

12(a • b + a2) + 6=

12(a • b + a^2) + 6=

12(3 • (-4) + 3^2) + 6=

12(-12 + 9) + 6=

12(-3)+6=

-36+6=

-(36-6)=-30 ==> A

Answer 2

Answer:

a) -30

Step-by-step explanation:

Given that,

→ a = 3

→ b = -4

Let's solve the problem,

→ 12(a × b + a²) + 6

→ 12(3 × -4 + (3)²) + 6

→ 12(-12 + 9) + 6

→ 12 × -3 + 6

→ -36 + 6 = -30

Hence, the answer is -30.

Related Questions

1/3 divided by 3/5 = 1/3 divided by M. What is M. I came up with 3/5

Answers

Answer:

Yes you are correct

Step-by-step explanation:

1/3 / 3/5 = 1/3 / M

3*1/3 / 5*3/5 = 3*1/3 / 5M

3/3 / 15/5 = 3/3 / 5M

1/3=1/(5M)

5M * 1/3 = 1

5M * 3 * 1/3 = 1 * 3

5M=3

M=3/5 √

what is the solution to -3/8x-11=4

Answers

Answer: -40

Step-by-step explanation:

Answer:

-1/40

Step-by-step explanation:

-3/8x -11+11=4+11

-3/8x=15

-3/8x x=15x

-3/8=15x

15x/15= -3/8/15

x=-1/40

Hope this helps!^^

What are the next two terms in the following sequence? 6, 3, 12, 6, 24.....

Answers

Answer:

12, 48

The pattern is: Divide by 2, then multiply by 4

Which expression shows the first step in dividing 5x + 3 by x?

Answers

The First step Linear Expression shows is 5+3/x

An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1. As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.

so when this linear expression 5x + 3 is divided by x then the first step will be

5 + 3/x

Answers

The product or overall change in time for 8 weeks will be 29.33 minutes.

What is a statement?

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

After one week, Greg's watch has lost 11/3 minutes. If the watch continues to lose time at the same rate, we can say that the change in time is 11/3 minutes per week.

According to given question we have

(11/3 minutes/week) x (8 weeks) = 29.33 minutes

Therefore, the product or overall change in time for 8 weeks will be 29.33 minutes.

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What is the greatest common factor of 38 and 30?

Answers

The greatest common factor of 38 and 30 is 2.

How to calculate the value?

It should be noted that thw first step to this method of finding the Greatest Common Factor of 30 and 38 is to find and list all the factors of each number.

Let’s take a look at the factors for each of these numbers, 30 and 38:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 38: 1, 2, 19, 38

When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 30 and 38 would be 2.

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write one hundred sixty-six thousandths in standar form

Answers

0.166 is the standard form of that

3 Choose 1 answer: A B D x = √√√27 x = √18 x = 5 x = 4 6

Answers

Answer:

the answer is A-x=

Step-by-step explanation:

because if you multiply 3 by 6 you get 27

If an arrow is shot upward on the moon with a velocity of 58 m/s, its height in meters after t seconds is given by y=58t−.83t2.

(a) Find the average velocity over the given time intervals:
(1) [1,1.5]
(2) [1,1.1]
(3) [1,1.01]
(4) [1,1.001]

(b) Find the instantaneous velocity after one second (to the nearest hundredth).

(1) m/s
(2) m/s
(3) m/s
(4) m/s
(b) m/s

Answers

The 58 m/s initial velocity of the arrow with height, y = 58•t - 0.83•t², gives;

(1) 55.925 m/s

(2) 56.257 m/s

(3) 56.3317 m/s

(4) 56.33917 m/s

(b) 56.34 m/s

How can the average and instantaneous velocity be calculated?

Initial velocity of the arrow = 58 m/s

Height of the arrow is; y = 58•t - 0.83•t²

The above kinematic equation can be analyzed as follows;

(1) The height at t = 1 is found as follows;

y = 58 × 1 - 0.83 × 1² = 57.17

Height at t = 1.5 s. is y = 58×1.5 - 0.83×1.5² = 85.1325

Average velocity = ∆y/∆t

Which gives;

Average velocity = (85.1325-57.17)/(1.5-1) = 55.925

The average velocity in the interval [1, 1.5] is therefore;

55.925 m/s

(2) [1, 1.1]

Height at t = 1.1 s. is y = 58×1.1 - 0.83×1.1² = 62.7957

Which gives;

Average velocity = (62.7957-57.17)/(1.1-1) = 56.257

The average velocity is 56.257 m/s

(3) [1, 1.01]

Height at t = 1.01 s. is y = 58×1.01 - 0.83×1.01² = 57.733317

Which gives;

Average velocity = (57.733317-57.17)/(1.01-1) = 56.3317

The average velocity is 56.33 m/s

(4) [1, 1.001]

Height at t = 1.01 s. is y = 58×1.001 - 0.83×1.001² = 57.22633917

Which gives;

Average velocity = (57.22633917-57.17)/(1.001-1) = 56.33917

The average velocity is 56.33917 m/s

(b) The equation for the instantaneous velocity is found as follows;

v = dy/dt = 58 - 2×0.83•t

After 1 second, we have;

t = 1

v = 58 - 2×0.83 × 1 = 56.34

The instantaneous velocity at t = 1 seconds is 56.34 m/s

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Solve
4x + 8y = 16 for X.

Solve for x

Answers

Answer:

x = 4 - 2y

Step-by-step explanation:

4x + 8y = 16

or, x + 2y = 4

or, x = 4 - 2y

Answer:4-2y

Step-by-step explanation:

If the difference of a number and eight is tripled, the result is six more than the number. Find the number. Round your answer to the nearest integer, if necessary.

Answers

The number that is six less than the product of three and the difference of the number and eight is; 15

How can the required number in the word problem be found?

The verbal expression of the equation in the word problem is presented in mathematical form as follows;

(x - 8) × 3 = x + 6

Expanding the left hand side gives;

3•x - 3×8 = x + 6

3•x - 24 = x + 6

3•x - x = 24 + 6 = 30

2•x = 30

x = 30/2 = 15

The number, x = 15

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On Monday, Saffron bakes
324 pastries in the morning and some more in the
afternoon. She sells 584 pastries. At the end of the
day she has 52 pastries left. How many pastries did
she bake in the afternoon?

Answers

the number of pastries that she bake in the afternoon is equal to 312 pastries.

We are given that:

Saffron sells 584 pastries in the whole day and 52 pastries are left at the end of the day.

Now, we will use addition to find the total number of pastries that is being made in the day.

Total pastries = 584 + 52

Total pastries = 636

Now, she bake 324 pastries in the morning.

So, the number of pastries baked in the afternoon = 636 - 324

In afternoon = 312.

Therefore, we get that the number of pastries that she bake in the afternoon is equal to 312 pastries.

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select two points that lie on the same line throught (0,0), then select an equation that describes the relationship between the coordinates x and y

Answers

Two collinear points on a line are given in the table below:

x, y

0 0 (0,0)

2 1 (2,1)

Select the points that lie on the line. and the relationship between the coordinates x and y.

(4,2)

(4, 3)

(7,2)

4/8, 2/8

Answer:

(4,2) and ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex]) are lie on the line, and y = [tex]\frac{1}{2}[/tex] x , is showing the relationship of x and y coordinates of given line.

Given that

The co-ordinates of line is (0,0) and (2,1).

To find

The points that lie on the line, and The relationship between the coordinates x and y.

So, according to the question

We have,

The X and Y co-ordinates of line (0,0) and (2,1).

For finding any point that lie on line, first we have to find the slope of given line,

So, we know that

slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where,

x₁ = 0 and x₂ = 2

y₁ = 0 and y₂ = 1

Now, putting the values, we will get

(m) = [tex]\frac{1-0}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]

m = [tex]\frac{1}{2}[/tex]

We know that, the equation of line

y-y₁ = m(x- x₁ )

y-0 = [tex]\frac{1}{2}[/tex] (x- 0)