Answer:
0.979%
Step-by-step explanation:
Given that:
Estimated value = 825 ;
Actual value = 817
Percentage error:
(|Estimated value - Actual value| ÷ actual value) * 100%
(|825 - 817| ÷ 817) * 100%
(8 / 817) * 100%
0.0097919 * 100%
= 0.979%
= 1% (nearest percent)
65 miles an hour, for two hours equals 130 miles
Answer:
= 2x^4 + 6x^3 - 8x^2 + 24x
= 2x ( 2x^3 + 3x^2 - 4x + 12)
Step-by-step explanation:
(X^2 + x - 6) (2x^2 + 4x) =
Let's open the brackets carefully
x^2 * 2x^2 + x^2*4x + x*2x^2 + x*4x - 6*2x^2 - 24x
= 2x^4 + 4x^3 + 2x^3 + 4x^2 - 12x + 24x
= 2x^4 + 6x^3 - 8x^2 + 24x
= 2x ( 2x^3 + 3x^2 - 4x + 12)
Answer:
Here we have the domain:
D = 0 < x < 1
And we want to find the range in that domain for:
1) y = f(x) = x
First, if the function is only increasing in the domain (like in this case) the minimum value in the range will match with the minimum in the domain (and the same for the maximums)
f(0) = 0 is the minimum in the range.
f(1) = 1 is the maximum in the range.
The range is:
0 < y < 1.
2) y = f(x) = 1/x.
In this case the function is strictly decreasing in the domain, then the minimum in the domain coincides with the maximum in the range, and the maximum in the domain coincides with the minimum in the range.
f(0) = 1/0 ---> ∞
f(1) = 1/1
Then the range is:
1 < x.
Notice that we do not have an upper bound.
3) y = f(x) = x^2
This function is strictly increasing, then:
f(0) = 0^2 = 0
f(1) = 1^2 = 1
the range is:
0 < y < 1
4) y = f(x) = x^3
This function is strictly increasing in the interval, then:
f(0) = 0^3 = 0
f(1) = 1^3 = 1
the range is:
0 < y < 1.
5) y = f(x) = √x
This function is well defined in the positive reals, and is strictly increasing in our domain, then:
f(0) = √0 = 0
f(1) = √1 =1
The range is:
0 < y < 1
Answer: the y-intercept is -7
Step-by-step explanation: Rewrite the equation in slopr intercept form and simplify:
2x-5y=35 Subtract 2x from both sides
-5y = -2x + 35 Divide both sides by -5 to isolate y
y = 2x/5 -7
