Given the function f ( x ) = 3 x − 1 , find x when f(x) = 20. Show the work that leads to your answer.

Answers

Answer 1
Answer:

Answer:

20 = 3x - 1 \n 20 + 1 = 3x \n 21 = 3x \n x = 7

Step-by-step explanation:

first add the one with 20 then divide by 3


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A project on Kickstarter.com was aiming to raise $15000 for a precision coffee press. They ended up with 714 supporters, raising 557% of their goal. How much did they raise?

Answers

The required solution is $83,550 raised.

It is required to find the amount did they raise.

What is percentage?

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

For a precision coffee press=$15000

Supporters=714

Raised= 557% of their goal.

According to given question we have,

They raise  

15000 x 5.57

= $83,550 raised

Therefore, the required solution is $83,550 raised.

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For this, we can set up a proportion.
Their aim was 15000, so if they raised 100% of their goal, they wouldve raised exactly 15000.
They raised 557%, so how much did they make?

Proportion:

$15000 100%
$x 557%

Our expression would be x=$15000*557% divided by 100%, which would be $83550, so... a lot of money.

(we did an “x” formation with the proportion, ie “connected” x with 100, and “connected” 15k and 557. The number connecting to x is what we divide the equation by, and the other two are multiplied and then divided by the first number connecting to x. Otherwise we couldve calculated 557% of 15000 and gotten the same result. Whichever way is easier for you :) )

A newspaper carrier has $1.80 in change. He has two more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have?

Answers

1\ quarter=\$0.25\n1\ dime=\$0.10\n1\ nickel=\$0.05\n\nq\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ quarters\nd\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ dimes\nn\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ nickels\n\nq=2d\ \ \ and\ \ \ n=3q\ \ \ \Rightarrow\ \ \ n=3\cdot 2d=6d\n\nq\cdot0.25+d\cdot0.10+n\cdot 0.03=1.80\n\n2d\cdot0.25+d\cdot0.1+6d\cdot0.05=1.8\n\n

0.5d+0.1d+0.3d=1.8\n\n0.9d=1.8\ \ \ \Rightarrow\ \ \ d=2\ \ \ \Rightarrow\ \ \ q=2\cdot2=4\ \ \ and\ \ \ n=6\cdot2=12\n\nAns.\ 4\ quarters,\ 2\ dimes,\ 12\ nickels

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

Answer:

8.

The sides given relative to angle x is the adjacent and opposite side. We can find x by using a trig function.

When using the adjacent and opposite sides, we use tangent.

The tan. of an angle, in this case x, is the opposite side over the adjacent side.

tan x=6/15

x=arc tan 6/15≈22

9.

cos 33°

You can use a calculator for this

10.

Because sin and cos are cofunctions, you can get x by doing 90-35=55°

z=55°

During a soccer season, Mario made approximately 2 goal points for every 5 of his shots on goal.  What is the probability that Marion would make 2 goal points on two shots in a row during the season?

Answers

The probability of each shot making it is ⅖. The probability of two shots making it is 2/5*⅖, which is 4/25 or .16

Answer: it would be .16 which is the answer

Step-by-step explanation:

Use the unit circle to find the value of cot (–270°). Question 3 options: cot (–270°) = 1 cot (–270°) = –1 cot (–270°) = 0 undefinedQuestion 3 options:

cot (–270°) = 1

cot (–270°) = –1

cot (–270°) = 0

undefined

Answers

Answer:

cot(-270) = 0

Step-by-step explanation:

given cot ( -270)

In trigonometry function we will use cot ( -x) = -cotx

so cot (-270) = - cot270

trigonometry table

          II quadrant                                I quadrant ( All positive)                                                                              

 sin θ            90+θ                                                    90 -θ

 cosec θ     180-θ                                                   360+θ

            third quadrant                                fourth quadrant

 tan θ            180+θ                                       cos θ          270+θ

 cot θ       270 - θ                                          sec θ       360-θ                                    

Given

cot (-270) = -cot ( 270)

                = - cot ( 180 + 90) (third quadrant above table)

                = -cot 90 =0 ( cot θ positive in third quadrant

Final answer:-

cot(-270) =0

Final answer:

The value of cot(−270°) is undefined because it involves a division by zero, as its calculation is based on the cosine and sine values at −270° on the unit circle, which are 0 and 1, respectively.

Explanation:

To find the value of cot (−270°), we need to understand where −270° places us on the unit circle. A full circle is 360°, so starting at the positive x-axis and moving clockwise (since the angle is negative), we move 270° to end up at the positive y-axis. The cotangent function is the ratio of the adjacent side to the opposite side in a right triangle, or the cosine divided by the sine.

At −270° (or 270° in the positive, counter-clockwise direction), the coordinate on the unit circle is (0, 1). The sine of −270° is the y-coordinate (which is 1), and the cosine of −270° is the x-coordinate (which is 0). Therefore, cot (−270°) = cos (−270°) / sin (−270°) = 0/1. Since division by zero is undefined, cot (−270°) is undefined.

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A tire rotates450 times per min. Through how many degrees does a point on
the edge of the
tire move in 1 sec?

Answers

The number of the degrees of a point on the edge of the tire moving in 1 seconds will be 2700°.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

A tire is rotating 450 times per minute.

Convert RPM into RPS. Then we have

⇒ 450 / 60

⇒ 7.5 times per second

Then the number of the degrees of a point on the edge of the tire move in 1 seconds will be :

⇒ 7.5 x 1 x 360°

⇒ 2700°

The number of the degrees of a point on the edge of the tire moving in 1 seconds will be 2700°.

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450\ rot/min=450\ rot/60s=(450)/(60)\ rot/s=7.5\ rot/min\n\n7.5\cdot360^o=2700^o\leftarrow answer



7.5\to7\ and\ half\ circle\to 180^o