Answer:
<em>- 1/2 (or - 0.5) </em>
Step-by-step explanation:
so first, simplify by combining like terms.
so 8w-6w = 2w
so now we have
2w - 8 = 4w - 7
now we have to get the w's to one side of the equation so we can solve for it. so that mean we have to subtract 2w from both sides. 2w - 2w is 0. and then 4w - 2w = 2w. so now we have
-8 = 2w - 7
then to slowly start isolating w, add 7 to both sides of th equation. so now its
-1 = 2w
finally to get w by itself divide 2 from both sides.
and the answer is
-
= w
Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
Answer:
x+((4 + 1/3))=(-(2 + 5/6))
6x = -43
x≈ -7.166667
Given :
There are 23 red shirts and 16 white shirts they will be put onto shelves in piles of 8.
To Find :
How many shirts will not fit evenly into 8 piles.
Solution :
We need to find the number of shirts which will not fit evenly into 8 piles.
What we need is the remainder of 23 divided by 8.
23 = 8×2 + 7
So, their are 7 shirts which will not fit evenly.
Hence, this is the required solution.
Since the measures of the two angles are in the ratio 8:1, this means the bigger angle's is 8x and the smaller angle is x. Since they are complementary, they add to 90°, so you create the equation 8x+x=90°. This can be simplified to 9x=90°. Then, you divide 90 by 9 to get 10. This means x=10. Next, you replace x with 10 to find the measure of the bigger angle. 8x10=80, so the larger angle is 80°.
