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4 years ago

Can anybody help me with this? Algebra 1

Mathematics

1 answer:

Marina CMI [18]4 years ago

8 0

Answer:

see below

Step-by-step explanation:

7. f(x) = mx + b; b acts as the vertical shift moving the graph up if b is positive and down if b is negative.

f(x) = x-2 has shifted the graph of f(x) down 2 units.

g(x) = x + 7 has shifted the graph up 7 units.

If f(x) is changed to g(x) the vertical shift has gone from -2 to + 7 or (7-(-2) = 9 units up

8. f(x) = mx stretches the graph by a factor of m if m > 0 and compresses the graph by a factor of m if 0<m<1

f(x) = 3x stretches the graph by a factor of 3.

g(x) = 1/4x compresses the graph by a factor of 1/4

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9. If J= 12, what is J/3 + 3?

3241004551 [841]

Answer: the answer is 7.

Step-by-step explanation:

you take 12, divide it by 3 to get 4, then you add 3 to get 7.

6 0

3 years ago

Read 2 more answers

A bug dug 60 inches straight down below ground and then continued digging 144 inches parallel to the ground. Finally, he realize

Effectus [21]

156 inches is the shortest distance to dig diagonally through dirt to get to his family.

Step-by-step explanation:

A bug dug 60 inches straight down below ground.
Then continued digging 144 inches parallel to the ground.

This forms the angle 90° between the two lines.

After he realized to turn back., the shortest distance is to dig diagonally.

This forms the hypotenuse side of the triangle.

Therefore, the given data can be assumed as a right angled triangle.

To find the diagonal path (hypotenuse) :

Use the Pythagorean triplets for right angle triangle,

We know that the triplet is (5,12,13).

It is given that, the height is 60 inches ⇒ 5 × 12
The base is of 144 inches ⇒ 12 × 12

Therefore, the third side hypotenuse must also be a multiple of 12.

From the triplets (5,12,13), the hypotenuse is 13 and it is multiplied by 12.

Diagonal path ⇒ 13 × 12 = 156 inches.

∴ 156 inches is the shortest distance to dig diagonally through dirt to get to his family.

5 0

3 years ago

A number reckoned on the basis of a whole divided into 100 parts is known as a

VladimirAG [237]

The answer for the question is: Percentage.

The explanation for this answer is shown below:

By definition, a percentage is a number that is computed on the basis of a whole divided into one hundred parts. Therefore, based on this definition, you can write a percent as percentage (with the symbol %), as a fraction (with a numerator and a denominator) and you can also express it as a decimal, as following:

$20$ % $=\frac{1}{5}=0.2$

8 0

3 years ago

Whobatman

77julia77 [94]

The best estimate of the population means is always the sample mean. We have the sample values, using them we can find the sample mean.

The sum of the sampled rates = 248
Sample Size = 10

Mean value of the sample = Sum of Sample Rate/Sample Size

So,

Mean of the sample = 248/10 = 24.8

Therefore, we can say that the best estimate for the population mean is 24.8

8 0

3 years ago

Read 2 more answers

Factories (a+b)^3+8c^3

Rom4ik [11]

Answer:

(a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

Step-by-step explanation:

Given

(a + b)³ + 8c³ ← this is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Thus

(a + b)³ + 8c³

= (a + b)³ + (2c)³

= (a + b + 2c)( (a + b)² - 2c(a + b) + (2c)² )

= (a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

8 0

4 years ago