Given the function f(x) = 4 - 2x: If the domain is {-4, 0, 5}, find the range. A) {-4, 4, -6} B) {-4, 4, 14} C) {12, 4, -6} D) {12, 4, 14)

Answers

Answer 1

Answer: f(x) = 4 - 2x Domain = x = -4, 0, 5

f(x) = 4 - 2(-4) = 4 - (-8) = 12

f(x) = 4 - 2(0) = 4 - 0 = 4

f(x) = 4 - 2(5) = 4 - 10 = -6

f(x) = 12, 4, -6

The range is C.

Answer 2

Answer: It's C. Good luck on your finals!

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Find the volume and surface area. Round to the nearest hundredth when necessary.

Answers

Hope you r having a nice day

Suppose functions are defined as follows.u(x)=x^2+7
w(x)=radical x+4

Find: (w o u)(5)
(u o w)(5)

Answers

The equation to find the ground speed of an airplane is
Vg = Va + Vw where Vg is the ground velocity, Va is the velocity through the air, and Vw is the velocity of the wind.
So, first we find the ground speed of each. This is done by dividing the number of miles by the number of hours.
2370 ÷ 3 = 790 miles per hour
7630 ÷ 7 = 1090 miles per hour
Next, we set them both equal to the equation, making sure that the wind velocity of the first equation is subtracted, because the plane is flying against the wind.
790 = Va - Vw
1090 = Va + Vw
Finally, we have to find the speed of both the wind and the jet. We know that it has to be higher than 790, but lower than 1090. So, logically, it would make sense to find the speed that is perfectly in the middle of the two, because adding or subtracting the same number would equal either speed.
To find this, we do a little subtraction, division, and then addition and subtraction.
1090 - 790 = 300
This means there's a 300 mph difference between the two speeds.
300 ÷ 2 = 150
Half of 300 is 150, so it would make sense that the wind speed is 150 mph, either added or subtracted to the final speed.
790 + 150 = 940
1090 - 150 = 940
Because the two match, that means we've found the speed of both the jet plane, and the wind.
The rate (speed) of the jet is 940 miles per hour (mph), and
The rate of the wind is 150 mph.

u(x) = x² + 7
w(x) = √(x + 4)

(w · u)(5) = (√(5 + 4))((5)² + 7)
(w · u)(5) = (√(9))(25 + 7)
(w · u)(5) = (3)(32)
(w · u)(5) = 96

(u · w)(5) = ((5)² + 7)(√(5 + 4))
(u · w)(5) = (25 + 7)(√(9))
(u · w)(5) = (32)(3)
(u · w)(5) = 96

In Jonah’s restaurant, each table seats 4 people. Jonah has 78 napkins to place at the tables. How many napkins will jonah need to complete one more table?

Answers

Answer:

Jonah needs 2 more napkins to complete one more table.

Step-by-step explanation:

In Jonah’s restaurant, each table seats 4 people.

In total Jonah has 78 napkins to place at the tables.

So the total number of napkins must be a multiple of 4.

But unfortunately 78 is not a multiple of 4. It leaves a remainder of 2 while divided by 4.

So, the number which is 2 more than 78 will be a multiple of 4 and will complete the set of tables i.e 80

Therefore, Jonah needs 2 more napkins to complete one more table.

78 napkins ÷ 4 people per table = 19 tables remainder 2 napkins.
A table needs 4 napkins and we only have 2. This means that we will need 2 more napkins in order to complete one more table.

Which direction would the graph of y=-|x+2|+3 open?

Answers

Answer:

The absolute function opens in downward direction.

Step-by-step explanation:

we have to find the direction in which the graph of y=-|x+2|+3 open.

The general form of an absolute value function is f(x)=a|x-h|+k.

The absolute value function will always open to the negative direction when a is negative and positive direction i.e upward when a is positive.

Here, given absolute function is y=-|x+2|+3

which gives a=-1, negative

Hence, the absolute value function will always open to the negative direction. Because this is in the form y = -|x|, it opens down.

this is it, it will open down :)

There are 8 red, 5 yellow and 7 green cubes in a box. What is the probability of drawing a yellow cube and then a green cube, if the first cube is not replaced before the second cube is drawn?

Answers

Step 1: find out how many cubes are there in total.
There are 20 cubes total because 8+5+7 = 20

Step 2: find out how many yellow cubes you have.
In this problem you have 5 yellow cubes out of 20 cubes. So you chances of grabbing a yellow cube is 5 out of 20.

Step 3: simplify. You can simplify 5/20 to 1/5. So you have a 1/5 chance of grabbing a yellow cube.

Step 4: now find how many cube are green. You have 7 green cubes. Because you took out one cube and didn't replace it you now have 19 cubes. So you have a 7/19 chance of grabbing a green cube.

Step 5: now multiply 7/19 times 1/5. Please note you can not simplify 7/19 because 7 and 19 are prime numbers.

Answer 7/95 which is roughly around .073 or 7.3%

i think thats a 1 in 20th chance

Find the slope of each line. 9) y = -x + 3 A. -1 B. 1 C. 3 D. -3

Answers

Answer: -1

Reason:

Compare the given equation to the template y = mx+b

m = -1 = slope

b = 3 = y intercept

If it helps, then think of y = -x+3 as y = -1x+3

Final answer:

The slope of the line represented by the equation y = -x + 3 is -1.

Explanation:

The question is asking you to find the slope of the line represented by the equation y = -x + 3. In the standard form of a linear equation, y = mx + b, m is the slope of the line. The slope of a line tells you how steep the line is. It is determined by the ratio of the vertical change (the 'rise') to the horizontal change (the 'run') between any two points on the line. In this case, the equation of the line is y = -x + 3, so the slope of the line is the coefficient of x, which is -1. Therefore, the correct answer is A, -1. This might contrast with the figure A1 example, in which m is 3, but for your particular equation, m is -1.

Learn more about slope here:

brainly.com/question/3605446

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