Okay so lets call Leah "L" and her cousin "C". We know that L+C=36 ... we also know that Leah is twice her cousins age. Therefore, L=2 times C, or L=2C. This is because Leah's age is equivalent to twice as much as her cousin's.
Now that you know that L=2C, you can plug this back into the equation. This should make it so that's there's only one variable now!
L+C=36
(2C)+C=36 ... here we subbed in L=2C
3C=36 ... we add up the C's
C=12 ... we isolate for C by dividing both sides by 3
So her cousin's age is 12 years old. Leah's age is twice that. Thus, she's 24. If you add the two up: 12+24, you indeed get 36. Hope that helps :))
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
<h3 /><h3>Equation of a line</h3>
The standard equation of a line is expressed as y= mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points on a line (3, 2) and (-1, -1)
Slope = -1-2/-1-3
Slope = 3/4
Determine the y-intercept
2 = 3/4(3) + b
2 = 9/4 + b
b = 2 - 9/4
b = -1/4
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
Learn more on equation of a line here: brainly.com/question/18831322
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Answer:
f(x) = x^3 - x^2 -2x
Step-by-step explanation:
If x = a is a zero of a polynomial, then x-a is a factor of the polynomial. Given the factors of a polynomial, the polynomial can be obtained by multiplying the factors.
The factors of the given polynomial are;
x - 2
x + 1
x
Multiplying the first two factors;
(x-2)(x+1) = x^2 + x -2x -2
= x^2 -x -2
We finally multiply this result by x to obtain our polynomial;
f(x) = x ( x^2 -x -2)
= x^3 - x^2 -2x
which is a cubic polynomial since it has 3 roots.
Answer:
We fail to reject the null hypothesis.
Step-by-step explanation:
In a hypothesis test, if the computed p-value is grater than a specified level of significance, then we fail to reject the null hypothesis. The p-value can be computed as the probability of getting a value equal or greater (in absolute value) than the observed value using the test statistic, this implies that if the p-value is greater than a specified level of significance, then the observed value does not fall inside the rejection region. Therefore we fail to reject the null hypothesis.
This is the answer its easy just simplify the inequality
