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3 years ago

Put the following in slope intercept form 4x - 3y = 15

Mathematics

1 answer:

Tcecarenko [31]3 years ago

4 0

slope intercept form: y = mx + b

Note the equal sign. what you do to one side, you do to the other. First, subtract 4x from both sides

4x - 3y = 15

4x (-4x) - 3y = 15 (-4x)

-3y = -4x + 15

Next, divide -3 from both sides to isolate the y.

(-3y)/-3 = (-4x + 15)/-3

y = (4/3)x - 5

y = (4/3)x - 5 is your answer

hope this helps

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What are some of the best apps for school? Why?

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Answer:

Google Classroom, study blue

Step-by-step explanation:

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3 0

3 years ago

Are the following (correct , incorrect , linear , nonlinear ) 7n, n+(n+1)+(n+2) , 3n”2 squared “ , 2n+8, n(3 squared) div 2

Maslowich

<h3>Answers:</h3>

A) Correct. Linear.
B) Correct. Linear.
C) Incorrect. Nonlinear.
D) Incorrect. Linear.
E) Correct. Nonlinear.

=======================================================

Explanation:

The product of a number n and 7 is the same as n*7 or 7*n or 7n

The number next to the variable implies multiplication, so we don't have to write the asterisk or multiplication symbol.

This expression is linear because the exponent is 1. Think of 7n as 7n^1

Or you could graph it out and you would get a straight line.

-------------------

n = first number

n+1 = number right after number n

n+2 = number right after n+1

This shows we have 3 consecutive numbers

The sum of this leads to 3n+3 which is linear.

-------------------

Tina needs to square 3n to get (3n)^2. So she forgot to square the 3

(3n)^2 is equivalent to 9n^2

Both of which are nonlinear. They graph out a curved parabola which isn't a straight line. The exponent being larger than 1 is another indication of a nonlinear expression.

-------------------

The sum of a number and 8 can be represented by n+8 where n is the unknown number. Then sticking "twice" out front means we double all of n+8. So we double it to get 2(n+8) which is equivalent to 2n+16

Tina mistakenly only doubled the n and not the 8

2(n+8) and 2n+16 are both linear. It might help to think of it like y = 2x+16 and to graph that out to get a straight line.

-------------------

E) Tina is correct here in dividing n^3 over 2

This is nonlinear since the exponent is larger than 1. It graphs out a curved cubic, rather than a straight line.

8 0

1 year ago

Solve -x= -4 fhfhfgdydgzxigzogxggdjpsisydgigdgosgis

d1i1m1o1n [39]

Answer:

x = 4

Step-by-step explanation:

We are to solve for;

-x = -4

A number (n) multiplied by x gives -4. What is the number?

n × x = -4

n is definitely equal to -1

So to get the value of x; we divide -4 by -1 to get 4

Therefore x = 4

7 0

3 years ago

Find the equation of the line with the giving point and slope:<br><br> (4,-3), m= -1

kondaur [170]

Y+3=-x+4
y=-x+4-3
y=-x+1

8 0

3 years ago

Find the equation of a circle with a center at (–7, –1) where a point on the circle is (–4, 3).

gogolik [260]

Answer:

(x + 7)^2 + (y + 1)^2 = 25.

Step-by-step explanation:

The center of a circle is easy to set up. According to the formula below, the formula for the circle will be (x - a)^2 + (y - b)^2 = r^2.

In this case, a = -7 and b = -1, so we have...

(x - (-7))^2 + (y - (-1))^2 = r^2

(x + 7)^2 + (y + 1)^2 = r^2

To get the radius, we need to find the distance between the center and the point on the circle. The distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

In this case, x2 = -4, x1 = -7, y2 = 3, and y1 = -1.

sqrt((-4 - -7)^2 + (3 - -1)^2) = sqrt((-4 + 7)^2 + (3 + 1)^2) = sqrt((3)^2 + (4)^2) = sqrt(9 + 16) = sqrt(25) = plus or minus 5.

Since distance can only be positive, the distance is 5 units, meaning that the radius is 5 units.

5^2 = 25

So, your equation should be (x + 7)^2 + (y + 1)^2 = 25.

Hope this helps!

8 0

3 years ago