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4 years ago

10

Find the slope of 7x+9y=45

1 answer:

Svetach [21]4 years ago

7 0

Answer: -7/9

Step-by-step explanation: To identify the slope of this line, first notice that this equation is in standard form which is Ax + By = C.

To find the slope, we need to solve for our variable <em>y</em>.

We first need to identify what is happening to our variable <em>y</em>. You can notice that it's being multiplied by 9 and is being added by 7x because 7x is a +7x so we're adding the 7x to the 9y.

So the first thing we do is undo addition and subtraction to our variable.

On the left the -7x's cancel and we are left with 9y. on the right, we do not want to write 45 - 7x because we always want to keep our variable in front of our constant. So I will just write that as 9y = -7x + 45.

Now we can divide everything by 9 in order to get <em>y</em> by itself.

This leaves us with <em>y = -7/9x + 5</em>.

Now our slope is the multiplier or the coefficient of the <em>x</em> term which in this case is -7/9. So the slope is -7/9.

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Suppose you invest $16000 at 9% interest and that it is compounded daily. How much will you have in 8 years?

kramer

Answer:

The amount after 8 years is $ 16,031.579

Step-by-step explanation:

Given as :

The Principal invested = $ 16000

The rate of interest compounded daily = 9 %

The time period = 8 years

Let The amount after 8 years = $ A

<u>From Compounded method </u>

Amount = Principal invested × $(1+\dfrac{\textrm Rate}{365\times 100})^{365\times \textrm Time}$

Or, Amount = 16000 × $(1+\dfrac{\textrm 9}{365\times 100})^{365\times \textrm 8}$

Or, Amount = 16000 × $(1.0002465)^{8}$

∴ Amount = $ 16,031.579

Hence The amount after 8 years is $ 16,031.579 Answer

4 0

4 years ago

Find the slope of the line that passes through the given points (-1.6) and (8.4) Select the correct choice below and, if necessa

fiasKO [112]

Answer:

The slope is $m=-\frac{2}{9}$

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$A(-1,6)\ B(8,4)$

Substitute the values

$m=\frac{4-6}{8+1}$

$m=\frac{-2}{9}$

$m=-\frac{2}{9}$

6 0

3 years ago

There are 25 students in a class and 10 of the students past their algebra test what percentage of the students pass to the test

densk [106]

25 students.....10 of which passed...
percentage of students that passed : 10/25 = 0.4 = 40% <==

6 0

4 years ago

Slove algebraically<br><br>3x - 4y = -24<br>x +4y=8<br>

Vanyuwa [196]

Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3

<u>Solution:</u>

We have been given two equations which are as follows:

3x - 4y = -24 ----- eqn 1

x + 4y = 8 -------- eqn 2

We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.

We rearrange eqn 2 as follows:

x + 4y = 8

x = 8 - 4y ------eqn 3

Now we substitute eqn 3 in eqn 1 as follows:

3(8 - 4y) -4y = -24

24 - 12y - 4y = -24

-16y = -48

y = 3

Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:

x = 8 - 4(3)

x = 8 - 12 = -4

Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.

5 0

3 years ago

Which variable is most efficient to isolate?

mezya [45]

y in the first equation because y is already by itself. All you have to do is move the -3x to the other side.

7 0

4 years ago

Read 2 more answers