Which number satisfies the inequality 9h + 15 > 55?

Answers

Answer 1

Answer:
When you say "Which number ...", I expect to see a list of choices at the
end of the question, and I get very upset when there's nothing there.

9h + 15 > 55

Subtract 15 from each side: 9h > 40

Divide each side by 9 : h > 40/9

Any number greater than (4 and 4/9) satisfies the inequality.

Answer 2

Answer: 9h + 15 > 55
      - 15 - 15
       9h > 40
      9 9
       h > 4⁴/₉

The solution set is equal to (4⁴/₉, ∞).

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Solve P = 2w + 2l for l.

Answers

Answer:

option a

Step-by-step explanation:

We will simply rearrange the equation for $\ell$ .

$\twoheadrightarrow\quad\sf{P=2w+2l}$

$\twoheadrightarrow\quad\sf{P-2w=2l}$

$\twoheadrightarrow\quad\sf{\cfrac{P-2w}{2}=l}$

Therefore, option A is correct

Which type of data is best represented by a circle graph? A. changes in data over time B. data sets with some common elements C. parts of a total amount D. data that are compared using bars

Answers

parts of total amount is what you need

C. parts of a total amount

Which term of the AP:3,15,27, 39,.....will be 132 more than its 54th term

Answers

Answer:

n=65th term

Step-by-step explanation:

AP:3,15,27,39......

From the AP

a=3

a+d=15

a+2d=27

3+d=15 (1)

3+2d=27 (2)

Subtract (1) from (2)

We have,

2d-d=27-15

d=12

54th term=a+(n-1)d

=3+(54-1)12

=3+(53)12

=3+636

=639

The term is 132 more than the 54th term

132+54th term

=132+639

=771

Find the term

771=a+(n-1)d

771=3+(n-1)12

771-3=12n-12

768=12n-12

768+12=12n

780=12n

n=780/12

=65

n=12

The term which is 132 more than the 54th term is the 65th term

What is the excluded value?a/b-2

1. a=0
2. b=2
3. b=-2
4. none of the above

Answers

Answer: The correct option is (2) $b=2.$

Step-by-step explanation: We are given to find the exclude value for the following algebraic expression:

$E=(a)/(b-2)~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

for a rational expression, we must exclude those values for which the denominator of the fraction becomes zero.

So, in equation (i), the excluded value will be given by

$b-2=0\n\n\Rightarrow b=2.$

Thus, the required excluded value is $b=2.$

Option (2) is CORRECT.

b - 2 = 0 since you cannot divide by 0
b = 2 solve for b. this is where the function is undefined

Suppose that the functions f and g are defined for all real numbers x as follows.f(x) = 3x+3
g(x) = 5x
Write the expressions for (f times g)(x) and (f+g)(x) and evaluate (f-g)(2)

Answers

Answer:

Step-by-step explanation:

a) fg(x)

--> f(5x)

--> 3(5x)+3

--> 15x+3

b) f+g(x)

--> 3x+3+ 5x

c) (f-g)(2)

3x+3- 5x

--> 3(2)+3-5(2)

--> -1

Answer:

solution given:

f(x) = 3x+3

g(x) = 5x

now

(f times g)(x)=?

(f+g)=?

(f-g)=?

we have

(f times g)(x)=f(g(x))

substituting value of g(x)

f(g(x))=f(5x)

now replacing value of x in f(x)

f(5x)=3(5x)+3

solving it

f(5x)=15x+3

so (f times g)(x) =15x+3

Step-by-step explanation:

again,

(f+g)(x)=f(x)+g(x)=3x+3+5x=8x+3

(f+g)(x) =8x+3

again

we need to find (f-g)(x) first so

(f-g)(x)=f(x)-g(x)=3x+3-5x=-2x+3

now

(f-g)(2)=-2*2+3=-1

(f-g)(2)=-1

Log x + log 8 = 2 ???

Answers

To start we will use the sum to product rule of logs to make logx + log 8 = 2 -> log8x = 2. now assuming that this is log base 10 we will get rid of the log by raising both sides to the power of ten.

8x = 10^2
8x = 100
x = 100/8

The solution to the equation $log(x) + log(8) = 2$ is $x = 12.5$ .