Round 14.235 to the nearest tenth

Answers

Answer 1
Answer: it is 14.100 because you are rounding down so you round 2 down to 1

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Add the fractions and simplify the answer: 1/2 + 2/3

Answers

The simplification of the fraction would be; 7/6.

What is a fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

Therefore, first convert the denominator (bottom n umber) to the same number.

1/2 and 2/3 then the numbers are 2 and 3

the least common multiple is 6

To convert is multiply each by bottom number of the other over the other;

1/2 +2/3

1/2 x 3/3 + 2/3 x 2/2

3/6 + 4/6

(7)/6

7/6

Hence, the simplification of the fraction would be; 7/6.

Learn more about fraction;

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During his tennis career in singles​ play, John won 4 fewer tournament A titles than tournament B titles and 2 more tournament C titles than tournament B titles. If he won 13 of these titles​ total, how many times did he win each​ one?

Answers

A-4=B
2+C=B
A+B+C=13

A=b+4
C=B-2
Plug in to equation 3
(B+4)+B+(B-2)=13
Rearrange
B=11/3
A=(11/3)+4= 23/3
C=(11/4)-2= 3/4

If h(x)=x-7 and g(x)=x^ which expression is equivalent to (g•h)(5)?A) (5-7)^
B) (5)^-7
C) (5)^ (5-7)
D) (5-7)x^

Answers

Answer:

A (5-7)^

Step-by-step explanation:

We have the next two functions h(x)=x-7 and g(x)=x^. We need to find (g•h) that is equal to g(h(x)) then:

(g•h)=g(h(x))=(x-7)^

Finally in the poin x=5 we have:

(g•h)=g(h(x))=(x-7)^

(g•h)=g(h(5))=(5-7)^

Then the answer is A

Assuming that by ^, you mean ², here's how you do this:
(g•h)(5) means that you need to solve g(h(5)). So, you plug 5 in for x in h(x), then you plug the solution of that in for x in g(x) like so:
h(5)=5-7 \n g(h(5))= (5-7)^(2)

The answer is A. (5-7)
²

Hope this helps!

Water coming out from a fountain is modeled by the function f(x) = −x2 + 8x + 2 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds.What does the average rate of change of f(x) from x = 1 to x = 4 represent?

Answers

Average rate of change of f(x) from x = 1 to x = 4 represents the average speed with which the water is falling between the first second and the fourth second.

Consider the points A (-16, 39), B(4, 3) and C (9, -6):
Find the slope of AB.

Answers

Answer:

(-9)/(5)

Step-by-step explanation:

(3-39)/(4-(-16))  ⇒ (-36)/(20)÷ (2)/(2) = (-9)/(5)

Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237.a. Write an equation that can be used to find the number of swimming lessons that she paid for.
b. How many swimming lessons did she pay for?
c. At the time she has $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237?

Answers

a.) Let x be the number of swimming lessons she had, then
402 - 15x = 237

b.) 15x = 402 - 237 = 165
x = 165/15 = 11
She had 11 swimming lessons

c.) Let the number of lesson she had be y, then 19y = 237
y = 237/19 = 12 lessons
She can pay for 12 lessons with her remaining $237.
A) Equation:

($402 - $237) ÷ $15 = y

B) Solution:

$402 - $236 = $165

$165 ÷ $15 = 11

Answer: 11 Swimming Lessons

C) Equation:

$237 ÷ $19 = 13

Answer: 13 Swimming Lessons