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GuDViN [60]
3 years ago
6

Graph the linear equation. find three points that solve the equation x+y=-2

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
6 0

Answer:

See the graph of the given linear equation shown below.

Explanation:

Given the linear equation : x+y = -2

We make a table for values of x and y;

x               y = -2-x

0               -2

-2               0

1                -3

Now, plot these three points (0, -2) , (-2, 0) and (1, -3) on the coordinate plane.

You can see the graph as shown below.


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Find the factored form of 18n+12
Black_prince [1.1K]
Factored: 6(3n+2)

6 is the greatest common factor of 18n and 12 so you change it to distributive property by factoring it to 6(3n+2)
if you distribute 6(3n+2) you get 18n+12
4 0
3 years ago
What is the equation of the axis of symmetry for the parabola y = 2/3 (x - 2)^2 - 5?
katovenus [111]
For
y=a(x-h)^2+k

the axis of symmetry is x=h

so
y=2/3(x-2)^2-5
the axis of symmetry is x=2


answer is C
5 0
4 years ago
What is true about the net of a pyramid?
sashaice [31]

Answer:

<h3><em>THE LAST ONE IS THE CORRECT ANSWER  BECAUSE ...................</em></h3>

Step-by-step explanation:

A PYRAMID IS A FOUR DIMENSHION FIGURE IT MEANS IT HAS FOUR TRIANGLES : <u>SO CORRECT ONE IS IT CONTAIN ANY NUMBER OF TRIANGLES OR GREATER THAN OR EQUAL TO FOUR.</u>

6 0
3 years ago
Read 2 more answers
Can someone please help me with math.
melamori03 [73]

Answer:

you must understand the formal

and then take a step to solve the question you are giving for example when you are given to fine √81.first you must understand what they are you to do

6 0
3 years ago
Q20-23 with steps pls
just olya [345]

20: Let x be the amount of money. If this amount is shared between 8 people, each person will get x/8 dollars. But there actually are 6 people, so everyone is getting x/6 dollars. We know that this difference results in 30 dollars more, so we have

\dfrac{x}{6}=\dfrac{x}{8}+30 \iff \dfrac{x}{6}-\dfrac{x}{8}=30

Rearrange the left hand side as

\dfrac{4x-3x}{24}=30

And multiply both sides by 24 to get

x=720

21: Let M and J be the number of marbles owned by Mike and Judy, respectively. At the beginning, we have

M=3J+11

If they both get 9 more marbles, Mike will have M+9 marbles, and Judy will have J+9 marbles. So, we have

M+J+18=93 \iff M+J=75 \iff M=75-J

Plug this value in the first equation and we have

75-J=3J+11 \iff 4J=64 \iff J=16

And we deduce

M=16\cdot 3 + 11=59

So, the difference is  

M-J=59-16=43

22: Let x,y,z be the number of $10, $20 and $50 coupon, respectively. We're given:

\begin{cases}x=2y+3\\z=\frac{1}{2}y\\x+y+z=38\end{cases}&#10;We can write the third equation by substituting the expressions for x and z:&#10;[tex]x+y+z=(2y+3)+y+\left(\dfrac{1}{2}y\right)=38

Rearrange as follows:

(2y+3)+y+\left(\dfrac{1}{2}y\right)=38 \iff \dfrac{7}{2}y=35 \iff 7y=70 \iff y=10

And now we can deduce the number of the other coupons:

x=2\cdot 10+3=23,\quad z=\dfrac{1}{2}\cdot 10=5

So, the total value is

23\cdot 10+10\cdot 20+5\cdot 50=230+200+100=530

23:  a) In order to find the first three terms of the sequence, you just need to plug n=1,2,3:

a_1=4\cdot 1+3=7,\quad a_2=4\cdot 2+3=11,\quad a_3=4\cdot 3+3=15

b) We have

a_r = 4r+3=71 \iff 4r=68 \iff r=\dfrac{68}{4}=17

c) 105 is a term of the sequence if and only if there exists an integer k such that

a_k=4k+3=105 \iff 4k = 102 \iff k=\dfrac{102}{4}=25.5

So, 105 is not a term of the sequence.

8 0
4 years ago
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