Answer:
6 hours
Step-by-step explanation:
Suppose Madison spent x hours on her social project,
then the number of hours spent on other project will be 1/3 of x=x/3
Total hours spend on all projects will be the addition of hours spent on social project and hour spent on other project, i.e
x + x/3 = 4x/3
It si given that this is 8 hours, therefore
4x/3=8
Multiplying both sides by 3:
4x=24
Dividing across board by 4:
x= 6 hours
Answer:
f(x)=2x-10 ______(given)
f(x)=8 _______(given)
Therefore, according to the above problem
2x-10=8
2x=10+8
2x=18
x=18/2
<u>x=9</u>
<h3><u>9</u> is the right answer.</h3>
Answer:
b. 37 • 26 = 26 • 37
commutative property states that the change in the order of numbers in an addition or multiplication operation does not change the sum or the product.
The value of a can be obtained by substituting 1 to the
equation and equating p(1) = 0.
<span> p(x) = x2a - 3xa + 3x2 -1 </span>
<span>p(1) = a - 3a +3 -1 = 0</span>
<span>therefore a =1</span>
the equation now becomes p(x) = x2 - 3x + 3x2 -1
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
