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3 years ago

Consider the quadratic function f(x)= 9x^2+30x+25=0

Mathematics

1 answer:

Alchen [17]3 years ago

4 0

Answer:

D) 0

There is 1 real solution.

Step-by-step explanation:

Hi there!

$f(x)= 9x^2+30x+25=0$

This is written in standard form:

$f(x)=ax^2+bx+c$

This means:

a=9

b=30

c=25

The discriminant states:

$D=b^2-4ac$

If D>0, there are 2 real solutions.

If D=0, there is 1 real solution.

If D<0, there are 2 complex solutions.

Plug in the values:

$D=30^2-4(9)(25)\\D=0$

Therefore, there is 1 real solution.

I hope this helps!

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3 years ago

Find the approximate perimeter of ABC plotted below.

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Answer:

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Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

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$AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

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3 years ago

karen brought 3/8 of a gallon of ice tea to a party. Robin brought 15/16 of a gallon of ice tea to the same party. How much ice

Rudiy27

Answer:

1 5/16 gallon

Step-by-step explanation:

Gallon of ice brought by Karen = 3/8

Gallon of ice brought by Robin = 15/16

Total ice team brought by them is sum of Gallon of ice brought by Karen + Gallon of ice brought by Robin

Total ice team brought by Karen and Robin = 3/8 + 15/16

=> 3*2/8*2 + 15/16

we are multiplying with 2 both numerator and denominator in 3/8 so sas the denominator becomes 16 as in other fraction denominator is 16

=> 6/16 + 15/16

=> (6+15)/16 = 21/16

since 21/16 is improper fraction, converting it in mixed fraction we have

21/16 = 1 5/16 gallon

Thus , Karen and Robin have 1 5/16 gallon ice tea together.

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3 years ago