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ser-zykov [4K]
3 years ago
8

Write the equation for a parabola that has x− intercepts (−1.6,0) and (−3.2,0) and y−intercept (0,25.6).

Mathematics
2 answers:
tankabanditka [31]3 years ago
6 0
X-intercepts are zeroes of the parabola.
(x-x1)(x-x2)=(x+1.6)(x+3.2)=x² +1.6x+3.2x+5.12=x²+4.8x+5.12
 
y=x²+4.8x+5.12, but the y-int. is (0, 25.6),

So, our parabola should look like
y=5(x²+4.8x+5.12)
y=5x²+24x+25.6
Bess [88]3 years ago
5 0
 Answer: y = 5(x + 1.6)(x + 3.2)

∞∞∞∞∞∞∞∞
Explanation:
∞∞∞∞∞∞∞∞

<em>x-intercept = (-1.6, 0) and (-3.2, 0)</em>

=====>   y = a(x + 1.6)(x + 3.2)

<em>Given y-intercept = (0, 25.6)</em>

=====>  25.6 = a( 0 + 1.6)(0 + 3.2) 
=====>  25.6 = 5.12a
=====>  a = 5

<em>Plug in a = 5 into the equation
</em>
=====>  y = 5(x + 1.6)(x + 3.2)
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Tomas and Tasha were hiking at a speed of 3.5 mph. On their way back, they were tired and their speed was 2 mph. How long was th
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 To get the length of the route use the expression for speed,

Distance = Speed × Time

Length of the route is 7 miles.

It's given in the question,

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Therefore, distance travelled by both with the speed of 2 mph one way will be,

 Distance = 3.5t [Here, t = time ]

Speed of both while coming back = 2 mph

And the time taken = t + (1 hour 30 minutes)

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Therefore, distance travelled while coming back = Speed × Time

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Since, length of the route is same both ways,

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Distance = 3.5t

               = 3.5 × 2

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 Therefore, route was 7 miles long.

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