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2 years ago

What is the minimum value of the quadratic function?

Mathematics

1 answer:

vesna_86 [32]2 years ago

4 0

Answer:

-5

Step-by-step explanation:

The y-coordinate of the bottom of the curve is -5. This is the minimum value of the function. There are no function values lower than this.

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Which of the following is not a zero of f(x) = (x2 - 4x + 4) (x2 + 3x - 10) = 0

Alenkinab [10]

Answer:

Only 2 and -5 are roots. Any other number is not a root.

Step-by-step explanation:

The zeros of the function are the x-intercepts and are found by factoring the equations and solving for x using the zero product property.

The f(x) = (x2 - 4x + 4) (x2 + 3x - 10) = 0 can factor into

f(x) = (x -2)(x-2)(x+5)(x-2) = 0.

Set each factor equal to 0 and solve.

x - 2 = 0 so x = 2. This repeats twice.

x + 5 = 0 so x = -5.

So the zeros are 2, -5.

4 0

3 years ago

The product of some negative number and 4 less than twice that number is 286 find the number

Naya [18.7K]

Let's say that number is hmmm "a"

now.. twice "a" is 2*a or 2a
4 less than that is " 2a - 4"

now, the product of those two fellows is 286, well ok

a( 2a - 4) = 286

thus

$\bf a(2a-4)=286\implies 2a^2-4a^2=286\implies a^2-2a^2=143
\\\\\\
a^2-2a^2-143=0\implies (a-13)(a+11)=0
\\\\\\
\begin{cases}
a-13=0\implies &a=13\\
a+11=0\implies &\boxed{a=-11}
\end{cases}$

5 0

3 years ago

Simplify each expression below.

Natalija [7]

Answer:

C) 45-38

Step-by-step explanation:

The reason why this is your answer is because if we subtract, the answer is less than 12.

Thanks!

6 0

2 years ago

How do you factorise fully x³-x

Harman [31]

Answer:

=x³-x

=x(x²-1)

=x(x²-1²)

=x(x+1)(x-1)

hope it helps.

4 0

2 years ago

The following histogram shows the number of items sold at a grocery store at various prices:

Contact [7]

Answer:

C. 2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00

Step-by-step explanation:

8 0

2 years ago