ALGEBRA I /// Relations and Functions help!!! pls

Mathematics

1 answer:

Volgvan3 years ago

5 0

Place the x values (if there are two of the same x value you only include it once) in the first box vertically like:
5
-3
6
2
Place the y values (if there are two of the same y values only include it once) in the 2nd box vertically like:
1.2
7
-3
Now draw lines from your x values to their corresponding y values.
A function may NOT have two y-values assigned to the same x-value, but it may have two x-values assigned to the same y-value.
So this is a function!

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From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha

Helga [31]

Answer:

The correct option is D. 2/7

Step-by-step explanation:

Consider the provided information.

There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.

We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.

We want to select Andrew and 3 others but not Karen in the group.

Thus, the number of ways to select 3 member out of 8-2=6

(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)

The required probability is:

$\dfrac{^6C_3}{^8C_4}=\dfrac{\frac{6!}{3!3!}}{\frac{8!}{4!4!}}\\\\\\\dfrac{^6C_3}{^8C_4}=\frac{20}{70}\\\\\\\dfrac{^6C_3}{^8C_4}=\dfrac{2}{7}$

Hence, the correct option is D. 2/7

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3 years ago

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harina [27]

3 18 shows the relationship between x and y

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3 years ago

A store decreases the price of an item from 120 to 90. what is the percent decrease

vampirchik [111]

There is a 25% decrease because the decrease is 30, which is 25% of 120.

8 0

3 years ago

HELP!

maksim [4K]

Part A

$4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3$

So, the x-intercepts are $\boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}$

Part B

The vertex will be a minimum because the coefficient of $x^2$ is positive.

The x-coordinate of the vertex is $x=-\frac{-7}{2(4)}=\frac{7}{8}$

Substituting this back into the function, we get $f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}$