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2 years ago

X y

1 answer:

8 0

Let's prove each one:
A) y=x-3
x=0→y=0-3→y=-3=-3 ok
x=2→y=2-3→y=-1 different to 5 No

B) y=x+3
x=0→y=0+3→y=3 different to -3 No

C) y=4x-3
x=0→y=4(0)-3=0-3→y=-3=-3 ok
x=2→y=4(2)-3=8-3→y=5=5 ok
x=3→y=4(3)-3=12-3→y=9=9 ok
x=4→y=4(4)-3=16-3→y=13=13 ok

D) y=4x+3
x=0→y=4(0)+3=0+3→y=3 different to -3 No

Answer: Option C) y=4x-3

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Emily is packing her bags for her vacation. She has 6 unique Fabergé eggs, but only 3 fit in her bag. How many different groups

ICE Princess25 [194]

Answer:

Step-by-step explanation:

We are given that Emily is packaging her bags for her vacation.

She has unique Faberge eggs=6

But eggs fit in her bag=3

We have to find the number of different groups of 3 Faberge eggs can she take.

Combination formula

$nC_r=\frac{n!}{r!(n-r)!}$

n=6, r=3

Using this formula

$6C_3=\frac{6!}{3!(6-3)!}=\frac{6\times 5\times 4\times 3!}{3!3\times 2\times 1}$

$6C_3=20$

Hence, Emily can takes 20 different groups of 3 Faberge eggs .

5 0

2 years ago

Solve for x -4(2x+5)+x+2=-11

Rashid [163]

Answer:

x= -1

Step-by-step explanation:

-4(2x+5)+x+2= -11

-8x-20+x+2

-7x-18= -11

+18 +18

-7x= 7

-7x/-7 =7/-7

x= -1

Hope this helps!

5 0

2 years ago

Graph a line that contains the point (6,-5) and has a slope of -2/3

Rufina [12.5K]

Answer:

The line to graph is y=- $\frac{2}{3}$ -1

Step-by-step explanation:

In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).

1. Plug info into point-slope form:

y-(-5)=- $\frac{2}{3}$ (x-6)

2. Simplify:

y+5=- $\frac{2}{3}$ x+4

3. Simplify even further:

y=- $\frac{2}{3}$ -1

To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.

4 0

3 years ago

I cannot figure this one out. Please help!

xz_007 [3.2K]

Answer:

The answer to your question is the letter C

Step-by-step explanation:

Data

$\frac{3x}{x + 2} \frac{x}{x - 1}$