Answer:
22) y=1/4x-3/4
23) y=-1/3x-9
Step-by-step explanation:
22 ) Using the rise/run strategy, we can find the slope. From (-1,-1) you go up 1 unit to reach the same level as (3,0), and go right 4 to reach (3,0). This means your rise/run is 1/4, which is also your slope. Now to find the y-intercept, we can use the equation format y=mx+b. m is your slope, which we have, and b is the y intercept. With y and x, we can substitute in a point we already know, for example (-1,-1) as (x,y). When everything we know is substituted in, we get -1=(1/4)(-1)+b. According to PEMDAS, we should now multiply 1/4 and -1 to get (-1/4). Now our equation is -1=-1/4+b. To isolate B, we need to add 1/4 on both sides. As a result, you'll get -3/4. Your y intercept is -3/4. Thus, the final equation is y=1/4x-3/4.
23) This question is a lot more straight forward than question 22. In this question, you're already given everything in the equation to substitute everything in. Like I said before, the format for a linear equation is y=mx+b where m is your slope and b is your y intercept. This question already gives you both the slope and y intercept, so you can just fill it in. (m = -1/3, b= -9) Thus, you'll get y=-1/3x-9.
T= total cost= $3.30
c= cost of fruit per pound
x= # of pounds of fruit purchased
EQUATION
T= (c)(x) - $0.55 coupon
to find c, substitute $3.30 total for T
$3.30= cx - $0.55
add $0.55 to both sides
$3.85= cx
divide both sides by x
$3.85/x= c
Hope this helps! :)
Answer:
y = 10x+5
Slope is 10 dollars per hour
Step-by-step explanation:
y = mx+b where m is the slope and b is the y-intercept or flat fee, here.
b = 5
10 per hour means m = 10
Answer:
We will be using the Pythagorean theorem for the first 2 and SOH CAH TOA for the other 3.
a^2 + b^2 = c^2
sin(t) = b/c; cos(t) = a/c; tan(t) = b/a
#4) a^2 + 9^2 = (3sqrt(10))^2 #5 9^2 + 27^2 = c^2
a^2 + 81 = 90 81 + 729 = c^2
a^2 = 9 810 = c^2
a = 3 9sqrt(10) = c
#6 27 + 3 = 30 #9 cos(90) = 8/c
8/-0.45 = c
| 17 | = c [not the exact value]
#7 8^2 + b^2 = 17^2 #8 2^2 + 15^2 = c^2
64 + b^2 = 289 4 + 225 = c^2
b^2 = 225 229 = c^2
b = 15 [not the exact value] 15.3 = c [not the exact value]
Sorry if something doesn't make sense and felt kind of rushed. Feel free to comment down below my answer if you have any questions and I'll try to clarify it the best I can.
