Question in pictures for quadratics

Please assist me with these problems

blondinia [14]

Answer:

The function of f(x) is 20 for the middle problem idk the others

Step-by-step explanation:

3 0

3 years ago

Marissa is drawing coins from a bag that contains 5 pennies (yellow), 4 nickels (green), 5 dimes

Anna007 [38]

Answer:

$\frac{4}{16}=\frac{1}{4}=0.25=25\%$

Step-by-step explanation:

Total number of coins in the bag = 5 + 4 + 5 + 2 = 16 coins

Number of nickels in the bag = 4

We have to find the probability that Marissa draws a nickels from the bag.

Probability is defined as the ratio of Number of "Favorable Outcomes" to "Total number of possible outcomes"

In this case total number of possible outcomes is the total number of coins which is 16.

Favorable/Desires outcome is drawing a Nickle from the bag which are 4 in number. So, number of favorable outcomes is 4

Therefore, the probability that she will draw a nickel = $\frac{4}{16}=\frac{1}{4}=0.25=25\%$

7 0

3 years ago

How to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x

Fofino [41]

Answer:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

Step-by-step explanation:

We are given the function:

$f(x)=-4x^5-8x^3+12x$

And we want to finds its zeros.

Therefore:

$0=-4x^5-8x^3+12x$

Firstly, we can divide everything by -4:

$0=x^5+2x^3-3x$

Factor out an x:

$0=x(x^4+2x^2-3)$

This is in quadratic form. For simplicity, we can let:

$u=x^2$

Then by substitution:

$0=x(u^2+2u-3)$

Factor:

$0=x(u+3)(u-1)$

Substitute back:

$0=x(x^2+3)(x^2-1)$

By the Zero Product Property:

$x=0\text{ and } x^2+3=0\text{ and } x^2-1=0$

Solving for each case:

$x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}$

Therefore, our real and complex zeros are:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

4 0

2 years ago

Use a flowchart to prove if the triangles in each pair of similar. NO LINKS!!!

vekshin1

Answer:

Step-by-step explanation:

Start

<F = <Q Given

<GPF = <RPQ Vertically opposite angles

<FGP = <QRP A triangle has 180 degrees. 2 equal angles means the third pair must be equal

Triangle GPF ~ Triangle RPQ AAA

end

I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.

20

JL/LE = 90/27 Given

KL /LD = 90/27 Given

<JLK = <DLK Vertically opposite

Are the ratios equal Yes Then is the angle included Yes

Then the triangles are similar.

Are the ratios not equal No then the triangles cannot be similar

Is the angle not included Then similarity cannot be proved.

ΔJLK ≈ ΔDLK Equal Ratios and included angle === similarity

7 0

3 years ago

Read 2 more answers

Which number is greatest? 2.89 x 10- O 1.997 x 102 8.9x10-6 o O Ex. 106

vitfil [10]

2.89x10- is the correct answer

8 0

3 years ago