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2 years ago

12

Compute the exact value of the function for the given x-value without using a calculator. You must show your work for full credi

t. f(x) = 5x for x = 2

2 answers:

yKpoI14uk [10]2 years ago

8 0

F(2) = 5(2)
F(2) = 10

CaHeK987 [17]2 years ago

4 0

Evaluate 5 x where x = 2:5 x = 5×2
5×2 = 10:Answer: 10

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Two consecutive integers have a sum of 75. Find the integers.

Pie

Answer:

37 and 38

Step-by-step explanation:

let the consecutive integers be x-1 and x

If their sum is 75

x-1+x = 75

2x - 1 = 75

2x = 75+1

2x = 76

x = 76/2

x = 38

First integer = x - 1

First integer = 38-1 = 37

Second integer is 38

Hence the integers are 37 and 38

7 0

3 years ago

Choose the correct description of the graph of the inequality x - 3 >= 5.

lions [1.4K]

The <em><u>correct answer</u></em> is:

D) Closed circle on 8, shading to the right.

Explanation:

First we must solve the inequality:

x - 3 ≥ 5

Add 3 to each side:

x - 3 + 3 ≥ 5 + 3

x ≥ 8

To graph this, we want a circle on 8 Since it is "greater than or equal to," 8 is included in the solution set. This means the circle will be closed.

Since it is "greater than," we want the numbers to the right of 8 on the number line.

This means the inequality will be a closed circle and shaded to the right.

8 0

2 years ago

Read 2 more answers

Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due

ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

Formula : d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

Formula : D= $\sqrt{(x2-x1)^2+(y2-y1)^2}$

⇒ $D = \sqrt{20^2t^2+15(t-1)^2}$

Now let $F(t) = D^2(t)$

∵ $F'(t) = 800t + 450(t-1) = 1250t -450\\F'(t) =0$

⇒ t= 450/1250

⇒ t= .36 hours

⇒ = 21 min 36 sec

Since F"(t)=0,

∴ This time gives us a minimum.

Thus, The two boats will closet together at 2:21:36 pm.

3 0

3 years ago

PLEASE HELP QUICK

valentinak56 [21]

Answer: 28 in.

Step-by-step explanation:

its simple

7 0

3 years ago

What Is The Answer<br> 2/3 - 4/12 =

erica [24]

2/3 = 8/12. So the answer is 4/12

8 0

2 years ago

Read 2 more answers