Answer:
Step-by-step explanation:
2x²+8=80
2x²=80-8=72
x²=72/2=36
x=±√36
x=±6
so x=6 is one solution other is x=-6
Refer the attached figure for the graphic representation of the given quadratic equation.
<u>Step-by-step explanation:</u>
Given expression:
To find:
The graphic representation of the given quadratic function
For solution, plot the graph to the given quadratic equation.
The standard form of the equation is
When comparing with given quadratic equation,
a = 1, b = - 8, c = 24
Axis of symmetry is 
By applying the values, the axis of symmetry of given equation is
The vertex form of quadratic equation is 
Where, (h,k) are the vertex.
Convert the quadratic equation into vertex form.
By completing the square,
On comparison,
(h , k) = (4 , 8)
Now, plot the equation with vertex (4,8) [refer attached figure].
<em>Question:</em>
The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?
—————
<em>Solution:</em>
Call those two angles x and y, where x is the larger one.
If they are complementary, then their sum equals 90°:
x + y = 90° (i)
Also, the ratio between x and y is 3 : 2, so
x 3
—— = ——
y 2
Product of the extremes = product of the means:
2x = 3y
2x – 3y = 0 (ii)
Now, just solve this system of equations:
x + y = 90° (i)
2x – 3y = 0 (ii)
Solve it with elimination. Since you want to know the value of the larger angle, which is x, then eliminate the variable y by doing the following:
Multiply the equation (i) by 3,
3x + 3y = 270° (iii)
2x – 3y = 0 (ii)
then add both equations, so you cancel out the variable y:
3x + 2x + 3y – 3y = 270° + 0
3x + 2x = 270°
5x = 270°
270°
x = ———
5
x = 54° <——— this is the measure of the larger angle.
I hope this helps. =)
Tags: <span><em>system of linear equations elimination method solve complementary angles algebra geometry</em>
</span>
Answer:
$3,190.80
Step-by-step explanation:
yr 1:
27500 x .35 = 9625
27500 - 9625 = 17875
yr 2:
17875 x .35 = 6256.25
17875 - 6256.25 = 11618.75
yr 3:
11618.75 x .35 = 4066.5625
11618.75 - 4066.5625 = 7552.1875
yr 4:
7552.1875 x .35 = 2643.265625
7552.1875 - 2643.265625 = 4908.921875
yr 5:
4908.921875 x .35 = 1718.12265625
4908.921875 - 1718.12265625 = 3190.79921875
-5 + x = +
adding/subtracting numbers with same/different signs : if the signs are the same, whether both negative or positive, then the answer will contain the same sign.
Example : -2 + (-2) = -2-2 = -4 : both signs are negative, the sign stays negative.
5 + 5 = 10 : both signs are positive, the sign stays positive.
However, if the signs are different, u subtract the smallest number from the largest number and take the sign of the larger number.
Example : -2 + 5 = 3...I took 5 - 2..which is 3, and took the sign of the largest number (+)...so the answer is 3.
-5 + 2 = -3....I took 5 - 2 and got 3, but used the larger number sign (-) making the answer -3.
now for ur question....u can conclude that the sign of the other integer would have to be positive. As for the value, in order for the answer to be positive, the integer would have to be larger then + 5.
Example :
-5 + 6 = 1
-5 + 7 = 2
if u picked a positive number smaller then 5...
-5 + 4 = -1
-5 + 3 = -2
u would not get a positive result.
