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2 years ago

The following graph represents the quadratic parent function. TRUE FALSE

Mathematics

2 answers:

Charra [1.4K]2 years ago

4 0

Answer:

False

Step-by-step explanation:

The graph of y = x² has it's vertex at (0, 0 ) ← Parent function

Here the vertex is at (0, - 2) ← not the parent function

The graph of x² has been shifted 2 units vertically down and is denoted by

y = x² - 2

SSSSS [86.1K]2 years ago

3 0

Research this words quadratic and parent function and see if that graph fits the definition

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What are all of the real roots of the following polynomial? f(x) x^4-24x^2-25

Greeley [361]

<u>Answer:</u>

x = ±5

<u>Step-by-step explanation:</u>

We are given the following polynomial function and we are to find all of its real roots:

$x^4-24x^2-25$

Let $y=x^2$ so we can now write it as:

$y^2-24y-25$

Factorizing it to get:

$(y^2+y)+(-25y-25)$

$y\left(y+1\right)-25\left(y+1\right)$

$\left ( y + 1 \right ) \left ( y - 2 5 \right)$

Substitute back $y=x^2$ to get:

$\left ( x^2 + 1 \right ) \left ( x^2 - 25 \right )$

$\left ( x^2 + 1 \right ) \left ( x + 5 \right ) \left ( x - 5 \right )$

The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.

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3 years ago

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One alloy is 2 parts iron to 3 parts silver and another alloy is 7 parts iron to 3 parts silver. How much of each should be comb

Shalnov [3]

Let x be your first alloy
2/5x+7/10(30-x)=1/2(30)
4x+210-7x=150
3x=60
x=20
So, you need 20 lbs of the first alloy, and 10 parts of the second to make 30 lbs of half iron and half silver alloy!

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3 years ago

What does 3+5x6-1=? and ill mark as brainliest

inna [77]

Answer:

Step-by-step explanation:

3+30-1

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2 years ago

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vfiekz [6]

$2x^{2} -10x +4x -20$

I'm not sure if you need to simplify

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algol [13]

Answer:

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Step-by-step explanation:

Your formula is 0.14x+23=0.19x

X represents your minutes.

0.14*460+23=87.4

0.19*460=87.4

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