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3 years ago

In a math class, 1/3 of the students fail a test, if twelve students have failed the test, how many students are in the class?

1 answer:

3 0

There would be 36 children in the class. What you would do is multiply twelve times 3 to get your answer. I hope I could be of assistance and please mark brainliest!

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2. Let f(x) = 3x² -x+5, find f(x+1)

Anna11 [10]

Answer:

f(x + 1) = 3x² + 5x + 7

Step-by-step explanation:

To find f(x + 1), substitute x = x + 1 into f(x), that is

f(x + 1) = 3(x + 1)² - (x + 1) + 5 ← expand (x + 1)² using FOIL

= 3(x² + 2x + 1) - x - 1 + 5 ← distribute parenthesis by 3

= 3x² + 6x + 3 - x - 1 + 5 ← collect like terms

= 3x² + 5x + 7

8 0

3 years ago

An office is divided into 12 cubicles. How many of the cubicles are carpeted if 1/3 of the cubicles are carpeted

11Alexandr11 [23.1K]

12÷3=4
cause 1/3 in this situation is 3 cause 12÷4 is 3

5 0

3 years ago

HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

$\large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}$

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

$\large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}$

As we know, sec²θ = 1/cos²θ.

$\large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }$

And thus,

$\large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }$

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

$\large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}$

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

$\large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }$

Answer

sinθ = -4sqrt(17)/17 or A choice.

4 0

3 years ago

What is the slope of the graph of 14x + 7y = –9? A. 1/2 B. -1/2 C. 2 D. -2

Debora [2.8K]

First move the 14x over to get 7y=-14x-9 then divide by 7 and you get y= -2x-9/7. the slope is the value next to the x in y=mx+b form so the slope is -2

7 0

3 years ago

A lorry drives for 4 hours at a speed of 45 mph. Calculate how far it travles

Delvig [45]

Answer:

180 miles

Step-by-step explanation:

Distance = speed x time

45 x 4 =180miles

6 0

3 years ago

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