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Vika [28.1K]
3 years ago
11

What is 4x + 6 = 2½x + 12 ? A. x = 4 B. x = 6 C. x = 13 D. x = -6

Mathematics
1 answer:
adell [148]3 years ago
5 0
You need to get the x’s by themselves. Subtract the 6 making 4x=2 1/2x +6. Then subtract the 2 1/2x making 1 1/2x=6. Finally you need to do 6/1.5=x. I did 1.5 because it is the same as 1 and 1/2z your answer will be 4.
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(15 points) what steps do i take to determine if y+3x^3=9 is linear
Annette [7]

Answer:

Answers are below

Step-by-step explanation:

Step 1: Graph the function

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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
*) Eric works at the deli on weekends to earn extra money. He makes $10 per hour making
algol13

Answer:

A=\dfrac{1}{2}(10s+14d)

Step-by-step explanation:

Given that,

He makes $10 per hour making  sandwiches, and $14 per hour delivering orders.

Let there are s sandwiches and d is delivering orders.

Eric puts half of his total earnings in a  savings account for college.

The expression that represents the total amount of money Eric saves for working s hours making sandwiches and d hours delivering orders.

A=\dfrac{1}{2}(10s+14d)

Hence, this is the required solution.

8 0
3 years ago
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