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2 years ago

PLEASE SHOW YOUR WORK!!! Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y

Mathematics

1 answer:

Marina86 [1]2 years ago

6 0

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3^3+14*y-(25*y-13)-(y+7*y-9*y)=0

Equation at the end of step 1

((3³ + 14y) - (25y - 13)) - -y = 0

Pull out like factors :

40 - 10y = -10 • (y - 4)

Equation at the end of step3:

-10 • (y - 4) = 0

STEP4:

Equations which are never true:

Solve : -10 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

Solve : y-4 = 0

Add 4 to both sides of the equation :

y = 4

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On your math quiz, you earn 5 points for each question that you answer correctly. In the equation below, x represents the number

belka [17]

Answer:

Dependent variable: y because you get the points by doing the quiz.

Independent variable: x because you don’t know how many questions you answered correctly.

Total points you score: Unknown until you know how many you got right also the same as y.

Number of questions you answer correctly: Unknown until you get your paper back, also the same as x.

7 0

3 years ago

Read 2 more answers

A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t

borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

$tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft$

Second triangle:

$tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft$

Now, the total height of the statue will be:

$TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft$

Have a nice day!

8 0

2 years ago

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Ipatiy [6.2K]

Answer:

$x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}$

Step-by-step explanation:

$2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\$

$x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}$

3 0

2 years ago

What does the line of -4 x + 3y = 6 look like

Llana [10]

Answer:

The line slopes upwards from left to right wit a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

Step-by-step explanation:

We first rearrange the equation to the order y=mx+c where m is the gradient and c the y intercept.

3y=4x+6

y=(4/3)x+2

The gradient is therefore 4/3 and the y intercept is 2.

At the c intercept, y=0

0=(4/3)x +2

(4/3)x=-2

x=-2×3/4

=3/2

The line slopes upwards from left to right with a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

8 0

2 years ago

Read 2 more answers

During a huge snowstorm in the white mountains last year, it snowed 62.5 cm in one day. how much did it snow in meters?

makkiz [27]

Cm is a centimeter, which is one-hundredth of a meter. Or rather, one hundred centimeters is equal to one meter.

To convert cm to meters

(62.5 cm) * (1 meter/100 cm) = .625 meters

8 0

2 years ago