Answer:
![y=\frac{1}{6}x+\frac{307}{6}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B6%7Dx%2B%5Cfrac%7B307%7D%7B6%7D)
Step-by-step explanation:
Basically the word problem here is trying to get us to find the line using the two points (113,70) and (173,80).
It also tells us by saying that we're modeling the temperature that we're going to be using the y = mx + b formula. m and b are what we'll mainly be looking for.
Let's start by finding m, the slope. We'll be using the point slope formula:
![\frac{y_2-y_1}{x_2-x_1} \\\frac{70-80}{113-173}\\\frac{10}{60}\\ \frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%5C%5C%5Cfrac%7B70-80%7D%7B113-173%7D%5C%5C%5Cfrac%7B10%7D%7B60%7D%5C%5C%20%5Cfrac%7B1%7D%7B6%7D)
So m = 1/6.
Now let's use that m and choose one of the points (I chose (113,70) ) to plug in everything but b in the original formula
![y=\frac{1}{6} x+b\\70=\frac{1}{6}113+b\\420=113+6b\\307=6b\\\frac{307}{6}=b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B6%7D%20x%2Bb%5C%5C70%3D%5Cfrac%7B1%7D%7B6%7D113%2Bb%5C%5C420%3D113%2B6b%5C%5C307%3D6b%5C%5C%5Cfrac%7B307%7D%7B6%7D%3Db)
so now that we know our b and our m, we can plug those into the original equation to get our answer!
![y=\frac{1}{6}x+\frac{307}{6}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B6%7Dx%2B%5Cfrac%7B307%7D%7B6%7D)
Answer:
(1) 13.0 years
(2)
{-1728, 1728}
Step-by-step explanation:
(1)
Compound annually:
= A
(47000)
= 79200
= ![\frac{79200}{47000}](https://tex.z-dn.net/?f=%5Cfrac%7B79200%7D%7B47000%7D)
ln(
) = ln(
)
ln and e cancel out.
(0.04)(t) = ln(
)
t = ![\frac{ln(\frac{79200}{47000})}{0.04}](https://tex.z-dn.net/?f=%5Cfrac%7Bln%28%5Cfrac%7B79200%7D%7B47000%7D%29%7D%7B0.04%7D)
t = 13.0 years
(2)
![x^{2} +y^{2} = 153\\y = -4x](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%3D%20153%5C%5Cy%20%3D%20-4x)
Substitute y with -4x.
![x^{2} + (-4x)^{2} = 153](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%20%28-4x%29%5E%7B2%7D%20%3D%20153)
Solve for x.
x = {-3, 3}
Plug in x values into any equation to find y.
y = -4(-3) and y = -4(3)
y = {-12, 12}
=
= -1728
=
= 1728
An odd function is the negative function that results from the replacement of x with -x in the expression. An even function stays the same even after the substitution. An example of a neither even or odd function is f(x) = 2x3 – 3x2 – 4x + 4. when we substitute -x to x, the resulting is f(x) =–2x3<span> –3</span>x2<span> + 4</span>x<span> + 4 which is not equal to the original or the negative counterpart.</span>
Answer: 6240 sowwy if imw rong
Step-by-step explanation:
In order to find area we use the formula = base times length times height
base = 26
height = 10
length = 24
26 times 24 = 624
624 times 10 = 6240
Answer:
(5v)²-(2)²
(5v-2)(5v+2)
Hence the factors are 2/5 and -2/5