Answer:
Slope intercept form is y=mx+b
Let’s first find the slope, which is y2-y1/x2-x1
Let’s make the point (-2,-5) our x1 and y1 and let’s make the point (3,5) our x2 and y2.
5+5/3+2
10/5
2 = slope
So far, our equation is looking like this:
y=2x + b
To find the y-intercept (b), let’s plug in one of the points.
Let’s use the point (3,5)
(5)=2(3) + b
5=6 + b
What adds to 6 to equal 5? -1
So, our y-intercept is going to be -1
Finally, our equation is going to look like this:
y=2x-1
Hope I helped!
Answer:
g(x) = x^2/16
Step-by-step explanation:
To stretch a function horizontally by a factor of k, replace x with x/k.
You want a stretch factor of 4, so your function is ...
g(x) = f(x/4) = (x/4)^2
g(x) = x^2/16
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The attached graph shows the horizontal stretch.
95x=85x+288
You could add 288 to any side, it just shows that they're 288 miles apart.
Let's subtract 85x from both sides.
10x=288
28.8=x
It'll take 28.8 hours for the trains to meet. Let's make sure.
28.8×95
2,736
28.8×85
2,448
2,736-2,448
288
So, they'll meet up after 28.8 miles.
Answer:
100
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 + 1 = 10 parts
Fiona gets 40 sweets which is 4 parts of the ratio
Divide Fiona's share by 4 to find the value of one part of the ratio
40 ÷ 4 = 10 ← 1 part of the ratio
The total number of sweets is 10 parts , thus
number of sweets in total = 10 × 10 = 100
My calculator gave me the answer -43/24. Hope this helps. If its wrong I'm sorry.
