Function g can be thought of as a translated (shifted) version of f(x) = x?Y Y6+5+432f7 6 5 4 3 21 2 3 4 5 6 7-2--3+-6-7Write the equation for g(x).

A. Monkey man

Step-by-step explanation:

M+o+n+k+e

SOLUTION

At the same time t,

Train 1 would have covered a distance of 80t, since distance = average speed x time.

Train 2 would have covered a distance of 70t.

Now both added should give 210 miles

That is 80t + 70t = 210

150t = 210

t = 210/150

t = 1.4 hours

a) Since the cost of a bag of popcorn is $6 and the cost of a drink is $4,

Therefore, the answer to the first question is $58.

b) Substitute 5 for p and 7 for d in the expression above; therefore,

The total cost is given by the equation T=6p+4d, where T is in dollars, p is the number of bags of popcorn and d is the number of drinks.

Given:

There are given that the expression:

Explanation:

Multiply -9b into the value of bracket.

So,

Final answer:

Hence, the equation is shown below:

Using the formula for the compound interest, we have:

STEP - BY - STEP EXPLANATION

What to find?

• The upper class boundary for the class 21 - 40

• Class width for 41 - 60

• The number of deer recorded in the class 81 - 100

Given:

(i) To find the class boundary for the class 21 - 40, we will first subtract 0.5 from 21 and then add 0.5 to 40.

That is;

20.5 - 40.5

Hence, the upper class boundary is 40.5

(ii) The class width for the class 41 - 60

The class width can be determine by subtracting 41 from 60.

That is;

Hence, class width = 19

(iii) Number of deer recorded in the class 81 - 100

This can be obtain by subtracting the cumulative frequency in the class from the cumulative frequency before it.

58 - 36 =22

Hence, we have 22 numbers of deer in the class 81 - 100.

(iv) A deer was chosen at random from the 80 deer. What is the probability that the weight of the deer is more than 100.5 kg.

We can solve this by first determining the number of deer that are above 100.5 kg.

Number of beer above 100.5 kg = 15 + 7 = 22

Total number of deer = 80

ANSWER

(i) 40.5

(ii) 19

(iii) 22

(iv) 11/40

We have the inequality:

Let's find out 3 solutions, as follows:

3x - 4 > 5

Adding 4 at both sides of the inequality:

3x - 4 + 4 > 5 + 4

3x > 9

Dividing by 3 at both sides, we have:

3x/3 > 9/3

x > 3

Now, we can find 3 solutions that fulfill the condition of the inequality:

x = 4, x = 5, x = 6

These three solutions are > 3

ANSWER

Variable : how much money was spent (x)

Equation: x + 23 = 75

Answer: $52

EXPLANATION

Let the variable (amount of money spent) be x.

Initially, you had $75 and you spend some money (x) and you are left with $23 in change.

This means that the sum of the money you spent and the change you received is $75.

That is:

x + 23 = 75

That is the equation.

To find how much money you spent, we have to find the value of x by collecting like terms:

=> x = 75 - 23

x = $52

You spent $52.

Using the Pythagorean Theorem, the depth of the lake is 57.24 feet.

According to the Pythagorean Theorem, the depth or height is the difference between the squared root of the hypothenuse and the base.

The Pythagorean Theorem Formula is as follows:

a² + b² = c²

Where:

a = side of the right triangle (height, depth, or perpendicular)

b = side of the right triangle (the base)

c = hypotenuse (the longest part or hypothenuse)

Therefore, the depth is:

a² = c² - b²

a² = 100² - 82²

a² = 10,000 - 6,724

a² = 3,276

a = √3,276

a = 57.24

= 57.24 feet

Thus, assuming a flat-bottom lake, its depth is 57.24 feet.

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Answer:

C 40

Step-by-step explanation:

794 is about 800

18 is about 20

800/20=40

We can consider

x = length of the painting

20 ft wall long

we want at least 3 ft per side so the total available length is 20-6= 14

x must be shorter than 14

inequality

x< 20-2(3)

x<14

Answer:

A population is the entire group that you want to draw conclusions about.

So, in this exercise, the population is all the students attending the college.

Answer:

the length of the diagonal AC is;

Explanation:

Given the parallelogram ABCD, diagonals AC and BD intersect at point E.

Recall that the diagonals of a parallelogram bisect each other;

So;

substituting AE and CE;

To calculate the length of AC;

Therefore, the length of the diagonal AC is;

since the student do 32 questions in a time of 28 minutes, then the rate of response is 32/28=8/7 questions/minute ,then the students will be able to complete 160 questions in 20(7)= 140 minutes

Answer: 13.1

13.1

Rounded to the nearest 0.1 or

the Tenths Place.

Explanation:

13.134

You rounded to the nearest tenths place. The 1 in the tenths place rounds down to 1, or stays the same, because the digit to the right in the hundredths place is 3.

13.1

When the digit to the right is less than 5 we round toward 0.

13.134 was rounded down toward zero to 13.1

answer - 214% increase

explanation

formula = big number - small number ÷ original number

29856 - 1330 = 28,526 ÷ 1330 = 21.45

21.45 to percent = 214% then if rounded to nearest

Answer:

[tex]x^{4}[/tex]

Step-by-step explanation:

Whenever it comes to the division of the same variable, we subtract their powers in order to get the correct answer:

[tex]x^{9}/x^{5}[/tex]
[tex]x^{9-5}[/tex]
[tex]x^{4}[/tex]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

score:

mean = 76

standard deviation = 12

Step 02:

probability:

normal distribution:

normal distribution diagram:

mean + 1 standard deviation = 76 + 12 = 88

probability (class average score is above 80):

p (score > 80) = 34% + 13.5% + 2.4% + 0.1% = 50% = 0.5

The answer is:

p (score > 80) = 50% = 0.5

The mean and the median for each data-set are given as follows:

5-th grade students:

7-th grade students:

A dot plot shows the number of times that each observation appears on a data-set.

Hence the hours of the 5th-graders are as follows:

1, 1, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8

The mean is the sum of all the numbers of hours divided by the number of students,  hence:

Mean = (2 x 1 + 3 x 2 + 1 x 3 + 4 x 4 + 5 x 5 + 5 x 6 + 2 x 7 + 2 x 8)/(2 + 3 + 1 + 4 + 5 + 5 + 2 + 2) = 4.67.

There are 24 elements in the data-set, hence the median is the mean of the 12th and the 13th element, as follows:

Median = (5 + 5)/2 = 5.

Hence the hours of the 7th-graders are as follows:

0,0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7.

Hence the mean is:

Mean = (2 x 0 + 2 x 1 + 3 x 2 + 5 x 3 + 5 x 4 + 3 x 5 + 3 x 6 + 1 x 7)/24 = 3.46.

The 12th element is of 3, the 13th of 5, hence the median is:

Median = (3 + 5)/2 = 4.

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Notice that for option B

f< 6 means that all numbers less than 6 are solution to the inequality, also notice that -1,1,3 and 4 are less than 6.

An analogous reasoning apllies for option E, all numbers less than 5 are solution to the inequality c<5 then -1,1,3 and 4 are solution.

For the rest of the inequalities at least one of the provided numbers are no solution for the inequality.

Opposite angles are the same

Then:

So: (Remember the line has a 180º degrees

Part A.

Ethan's account can be model as a linear equation since it is increasing at a constant rate of the form:

And Evan's account can be model as a exponential equation of the form:

Part B:

Evaluate the 1st and 2nd equation for x = 5:

It would be 1.05 higher

Let's begin by listing out the given information:

18 students passed

Total students = 25

Number of people who did not pass = 25 - 18 = 7

7 out of 25 students did not pass. This has its percentage as:

Therefore, 28% of the students did not pass

The domain of a function is always represented by the values of X. In the ordered pair, they are always the first value of the pair.

The domain is the first number of each pair.

Domain: {-1, -10, 8, 6}.