Find the range of f(x) = 3x - 5 for the domain {-1.5, 2, 4}A) {-8, 10, -1, -1}
B) {-9.5, 1, 7}
C) {8, 10, 1, 1}
D) {9.5, -1, -7}

Answers

Answer 1
Answer:

For this case we have the following function:

f (x) = 3x - 5

To find the values of the range of the function, we substitute the values of the domain.

We have then:

For x = -1.5:

f (x) = 3 (-1.5) - 5\nf (x) = -4.5 - 5\nf (x) = -9.5

For x = 2:

f (x) = 3 (2) - 5\nf (x) = 6 - 5\nf (x) = 1

For x = 4:

f (x) = 3 (4) - 5\nf (x) = 12 - 5\nf (x) = 7

Therefore, the values of the range are given by:

{-9.5, 1, 7}

Answer:

the range of f (x) = 3x - 5 for the domain {-1.5, 2, 4} is:

B) {-9.5, 1, 7}

Answer 2
Answer: B is the answer

Because A and C could not be since the set have 4 results

D could not be because f(4)=. 12-5=7 not -7

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A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.

Answers

Answer:

10 in

Step-by-step explanation:

We are given that

Diameter of cactus=d=12 in

Radius of cactus=(d)/(2)=(12)/(2)=6 in

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

Pythagorous theorem: (Hypotenuse)^2=(base)^2+(perpendicular\;side)^2

Using pythagorous theorem

OB^2=(6)^2+(8)^2=100

OB=√(100)=10 in

Hence, the direct distance of lizard from cactus=10 in

the answer should be 6 if i am right

Multiply and simplify
(5a + 2bc) (5a - 2bc)

Answers

One of the tools that's great to keep in your algebra toolbox for the rest of your life is:

The product of (sum of 2 things) (difference of 2 things) = (difference in their squares).

For example:  (x + y) (x - y) = (x² - y²)

When you're trying to factor algebra expressions, it's always good to keep your
eyes open for the difference of two squares, and remember that it's going to be
(sum) x (difference) of the things that they're squares of.

Here you have (a sum) x (a difference) of the same 2 things:

(5a + 2bc) (5a - 2bc)

You can multiply them out, or just use the little tool above:

(5a)² = 25a²

(2bc)² = 4b²c²

So (their sum) x (their difference) is (25a² - 4b²c²) .



⇒ (a + b)(a - b) = a² - b²


Multiply and simplify :

(5a + 2bc) (5a - 2bc) \n =25a^2+10abc-10abc-4bc^2 \n =25a^2-4b^2c^2

What is the maximum of the sinusoidal function?


Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

Given is a graph with more than 2 periods shown. The wave represents that it is the sine function.

From the graph we find that the graph gets its maximum at y=-2 and minimum at y =-6

Hence range =[-6,-2]

Amplitude = 2

There is no x intercept but y intercept =-4

Hence the possible equation would be

y = 2sin(bx+k)-4

for some real b and k

Since sine max value is 1, we have

Maximum value is 2-4 =-2

Hello from MrBillDoesMath!

Answer:

y = -2



Discussion:

From the graph the maximum value or "highest point" on the function  appears to be

y = -2

Thank you,

MrB

Maya makes 5 bracelets in 2/3 hour how many can she make in 1.5 hours How many bracelets does Maya braid in 1 1/2 b hours?

Answers

If Maya makes 5 bracelets in 2/3 hours, then she can make approximately 11 bracelets in 1.5 hours.

How many bracelets can Maya braid in 1.5 hours?

Given the parameter:

Maya makes 5 bracelets in 2/3 hours.

How many can she make in 1.5 hours?

To determine the number of bracelets Maya can make in 1.5 hours, we can set up a proportion.

Let 'x' be the number of bracelets in 1.5 hours

(5 bracelets) / (2/3 hour) = (x bracelets) / (1.5 hours)

Solve for x:

x × 2/3 = 5 × 1.5

x × 2/3 = 5 × 3/2

x × 2/3 = 5 × 3/2

2x/3 = 15/2

2x × 2 = 3 × 15

4x = 45

x = 45/4

x = 11.25

x ≈ 11 bracelets

Therefore, she can make approximately 11 bracelets in 1.5 hours.

Learn more about proportions at :brainly.com/question/29774220

#SPJ1

What is the elapsed time between 10:30 p.m. and 1:15 a.m.?3 hours
3 hours and 15 minutes
2 hours and 45 minutes
2 hours and 30 minutes

Answers

If you would like to find the elapsed time between 10:30 p.m. and 1:15 a.m., you can calculate this using the following steps:

12:00 p.m. - 10:30 p.m. = 1:30
00:00 a.m. + 1:15 a.m. = 1:15

1:30 + 1:15 = 2:45 = 2 hours and 45 minutes

The correct result would be 2 hours and 45 minutes.

A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few years. Write an equation representing the relationship, where x is time in years, and y is the number of songs available. a) y = 1500 * 3^x b) y = 1500 + 3x c) y = 1500 * x³ d) y = 1500 / (3^x)

Answers

Answer:

a) y = 1500 * 3^x

Step-by-step explanation:

This equation indicates that the number of songs available, y, is equal to the initial number of songs (1500) multiplied by 3 raised to the power of the number of years, x. This reflects the expectation that the collection of songs will triple each year.