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3 years ago

Can I get some help on these two question im confused

Mathematics

1 answer:

Sedbober [7]3 years ago

5 0

Answer:

for 1 I am guessing D and for 2 I am guessing B.

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On a trip, a motorist drove 150 miles in the morning and 50 miles in the afternoon. His average rate in the morning was twice hi

Lina20 [59]

Answer:

Morning's average rate = 50 mph, and Afternoon's average rate = 25 mph.

Step-by-step explanation:

Suppose he drove 150 miles for X hours, then his average rate in the morning was (150/X) mph.

Given that he spent 5 hours in driving.

And he drove 50 miles for (5-X) hours, then his average rate in the afternoon was 50/(5-X) mph.

Given that his average rate in the morning was twice his average rate in the afternoon.

(150/x) = 2 * 50/(5-x)

150/x = 100/(5-x)

Cross multiplying terms, we get:-

150*(5-x) = 100*x

750 - 150x = 100x

750 = 100x + 150x

750 = 250x

x = 750/250 = 3.

It means he spent 3 hours in the morning and 2 hours in the afternoon.

So morning's average rate = 150/3 = 50 mph.

and afternoon's average rate = 50/(5-3) = 25 mph.

8 0

3 years ago

Can you guys please help me

makvit [3.9K]

Answer:

1302

Step-by-step explanation:

14 * 93 = 1302

4 0

3 years ago

-3 (-4) ×<br> 1 = –16<br> The answer babesss!!!!!

zvonat [6]

Answer:

x = -(4/3)

Step-by-step explanation:

$-3 (-4) \times1 = -16\\\\\mathrm{Divide\:both\:sides\:by\:}-3\left(-4\right)\times\:1\\\\\frac{-3\left(-4\right)x\times\:1}{-3\left(-4\right)\times\:1}=\frac{-16}{-3\left(-4\right)\times\:1}\\\\Simplify\\\\x=-\frac{4}{3}$

5 0

3 years ago

Which of the following equations matches the function shown above?

Ksenya-84 [330]

So, the function is obviously shifted up by 1 so it rules out A and B, and we also see that the period is 4pi rather than 2pi, and using the fact that:

$\frac{2\pi}{b}=4\pi \implies \frac{b}{2\pi}=\frac{1}{4\pi}\implies b=\frac{1}{2}$

Now that we know our b value, we see that the correct answer would be C.

3 0

3 years ago

Sandra wants to evaluate 2 cot Her work is shown below. What did she do wrong?

Rashid [163]

Answer: The first option.

Step-by-step explanation:

1. You need to remember that:

- An even function is a function with the following property:

f(-x)=f(x)

- An odd function is a function with the following property:

f(-x)=-f(x)

2. By definition, the contangent is an odd function, therefore you have that:

cot(-θ)=-cot(θ)

Then:

$2cot(-\frac{9\pi}{2})\neq2cot(\frac{9\pi}{2})$

3. So, you can coclude that the first step is wrong. Therefore, the answer is the first option.

8 0

3 years ago