Answer:
y=-5,x=2
Step-by-step explanation:
3x+3y=-9________________eqn 1
3x-3y=21________________eqn 2
using elimination method
3x+3y=-9
-
3x-3y=21
subtract equation 2 from equation 1
0+6y=-30
6y=-30
y=-30/6
y=-5
substitute the value of y in equation 1
3x+3y=-9
3x+3(-5)=-9
3x-15=-9
3x=-9+15
3x=6
x=6/3
x=2
Hey there! :)
To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.
Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept
Since we're already given the slope, all we really need to do is find the y-intercept.
We can do this by plugging our known values into the slope-intercept equation.
y = mx + b
Since we're trying to find "b," we need to plug in "y, m, x" into our formula.
(1) = (2)(5) + b
Simplify.
1 = 10 + b
Subtract 10 from both sides.
1 - 10 = b
Simplify.
-9 = b
So, our y-intercept is 9!
Now, we can very simply plug our known values into slope-intercept form.
y = mx + b
y = 2x - 9 → final answer
~Hope I helped!~
Answer:
-5.5 
4.5
Step-by-step explanation:
Given:
The numbers to order from least to greatest is given as:
In order to compare these numbers, we have to convert them in same form.
Let us simplify each number in decimal form.
So, the least number is one which has the largest value with a negative sign.
Here, -5.5 is the least number.
The next smallest number is -4.47. So,
The next smallest number is 2. So,
The next smallest number is 3.14. So,
The greatest number is 4.5.
Therefore, the order from the least to greatest is:
-5.5 < < < < 4.5
<span>The correct answer is 216x</span>⁶<span>y</span>⁵<span>.
Explanation:
The first thing we do is raise the last monomial to the third power.
(4xy)(2x</span>²<span>y)(3xy)</span>³
<span>=(4xy)(2x</span>²<span>y)(3</span>³<span>x</span>³<span>y</span>³<span>)
=4xy(2x</span>²<span>y)(27x</span>³<span>y</span>³<span>).
Now we can multiply the first two monomials. When we multiply powers with the same base, we add the exponents:
8x</span>³<span>y</span>²<span>(27x</span>³<span>y</span>³<span>).
We multiply these last two monomials, again adding the exponents:
216x</span>⁶<span>y</span>⁵<span>.</span>
Answer:
Amount she Receive in 5 years = $3506.37
Step-by-step explanation:
Given in question as
Ebonie invests amount in account = P = $2500
The interest rate she will have = 7%
The amount will keep in account for 5 years
Now we apply compound interest (CI ) to determine how much she will receive after 5 years ,
So , for CI
Amount = principal ( 1 + 
^ T ,where T is Time
So, A = 2500 ( 1 +
)^5
Or, A = 2500 (1.40255)
Or, A = $3506.37
Hence Amount she will receive $ 3506.37 Answer
