It is linear through a:
Table: the y values have a constant rate of change. For example the y values would be 7, 14, 21, 28 going up by 7 each time. This would not be an example: 6, 12, 17, 18.
Graph: The line of the graph is straight!
Equation: It is in y=mx+b or slope intercept form. Hope this helps!
M=3/2 pls mark brainliest
If 20% was taken off, that means that 35.96 is 80% of the original price.
35.96 =
Now, we just need to put it into fractions, cross multiply, and divide to find the original price.
35.96×100 = 3596
1×80 = 80
3596÷80 = 44.95
Now, to make sure, we multiply 44.95 by 20%,
44.95×0.20 = 8.99
Subtract that from 44.95
44.95-8.99 = 35.96
That is the sale price of the alarm clock.
This means that yes, the regular price of the mp3 alarm clock was
$44.95
The function, as presented here, is ambiguous in terms of what's being deivded by what. For the sake of example, I will assume that you meant
3x+5a
<span> f(x)= ------------
</span> x^2-a^2
You are saying that the derivative of this function is 0 when x=12. Let's differentiate f(x) with respect to x and then let x = 12:
(x^2-a^2)(3) -(3x+5a)(2x)
f '(x) = ------------------------------------- = 0 when x = 12
[x^2-a^2]^2
(144-a^2)(3) - (36+5a)(24)
------------------------------------ = 0
[ ]^2
Simplifying,
(144-a^2) - 8(36+5a) = 0
144 - a^2 - 288 - 40a = 0
This can be rewritten as a quadratic in standard form:
-a^2 - 40a - 144 = 0, or a^2 + 40a + 144 = 0.
Solve for a by completing the square:
a^2 + 40a + 20^2 - 20^2 + 144 = 0
(a+20)^2 = 400 - 144 = 156
Then a+20 = sqrt[6(26)] = sqrt[6(2)(13)] = 4(3)(13)= 2sqrt(39)
Finally, a = -20 plus or minus 2sqrt(39)
You must check both answers by subst. into the original equation. Only if the result(s) is(are) true is your solution (value of a) correct.
Answer:
Step-by-step explanation:
The equation of a straight line is expressed in the slope intercept form as
y = mx + c
Where m represents the slope
c represents the intercept.
The given equation is
4x−5y = 10
5y = 4x - 10
y = 4x/5 - 2
Comparing with the slope intercept form,
The slope,m = 4/5
The line that is parallel to the given line passes through the point (- 5,- 1)
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line that is parallel to the given line is 4/5
To determine the intercept c, we will substitute m = 4/5, x = - 1 and x = - 5 into the slope intercept equation. It becomes
- 5 = 4/5 × - 1 + c
- 5 = - 4/5 + c
c = - 5 + 4/5 = (- 25 + 4)/5 = - 21/5
The equation becomes
y = 4x/5 - 21/5
