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3 years ago

How many times does the quadratic function below intersect the x-axis? y=x+10x+25

Mathematics

1 answer:

krok68 [10]3 years ago

5 0

Answer:

It touches the x-axis once, but does not intersect it

Step-by-step explanation:

I'm assuming it's supposed to be y = x² + 10x + 25. This equation does not intersect the x-axis, but it does touch the x-axis.

Solve the equation for x...

0 = x² + 10x + 25

factor...

0 = (x + 5)(x + 5)

The solution repeats, this means that the function touches the x-axis and then bounces off, but doesn't intersect it. Intersect meant to cross the line, here it just touches it.

See the attached photo to see the graph...

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What is the answer to this question plss and thank you

cluponka [151]

A defines the function

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f(3) = - 8 ×( $\frac{5}{2}) ^{2}$ = - 8 × $\frac{25}{4}$ = - 50

f(4)= - 8 ×( $\frac{5}{2}) ^{3}$ = - 8 × $\frac{125}{8}$ = -125

f(5) = - 8 ×( $\frac{5}{2}) ^{4}$ = - 8 × $\frac{625}{16}$ = - $\frac{625}{2}$

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svetlana [45]

Answer:

Step-by-step explanation:

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cluponka [151]

Midpoint formula is M=( (x1+x²)/2 , (y1+y²)/2 )
let A be there point (x1,y1), our (2,3)

plug into the formula to get

(-2,1)=( (2+x²)/2, (3+y2)/2 )
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