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3 years ago

Select the correct answer. Given the domain {-2, 2, 4}, what is the range for the relation 3x + y = 3?

Mathematics

1 answer:

ANEK [815]3 years ago

4 0

Answer: {0, 5, 7}

Step-by-step explanation:

{0, 5, 7}

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How many Solutions does this system have? (1 point)

mixas84 [53]

The given system of equation that is $2x+y=3$ and $6x=9-3y$ has infinite number of solutions.

Option -C.

<u>Solution:</u>

Need to determine number of solution given system of equation has.

$\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}$

Let us first bring the equation in standard form for comparison

$\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}$

$\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

To check how many solutions are there for system of equations $a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0$ , we need to compare ratios of $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}$

In our case,

$a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3$

$a_{2} = 6, b_{2} = 3,\text{ and }c_{2} = -9$

$\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}$

As $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ , so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

5 0

3 years ago

Help me plsssssssssssssssssssss

Solnce55 [7]

Answer:

can i please have somepoints

Step-by-step explanation:

i need to get an answer to a question and if i don't i might fail a really hard test

7 0

2 years ago

Read 2 more answers

Emichee can you help me? A cylinder has a base with a radius of 8 inches and a height of 15 inches. What is the volume of the cy

Lina20 [59]

The volume of a Cylinder is:

$V=A_b*h$

the base is a circle, so

$A_b=\pi*r^2$

replacing

$V=\pi*r^2*h$

now we have the values

$V=3.14*8^2*15$

$\boxed{\boxed{V=3014.4~in^3}}$

7 0

4 years ago

Janet wanted to understand whether grade level had any relationship to their opinion on extending the school day. She surveyed s

konstantin123 [22]

Grade In Favor Opposed Undecided Total
9 4 2 8 14
10 7 11 8 26
11 14 15 9 38
12 11 5 10 26
Total 36 33 35 104

Above is a partial sum chart that will help us in our quest.

P(Grade 9 | opposed)
The probability of Grade 9, given opposed, is the portion of opposed students that are in grade 9.
Total number opposed: 33
Number opposed in Grade 9: 2
P(Grade 9 | opposed) = 2 / 33 = 0.06

P(opposed | Grade 9)
Total Number Grade 9: 14
Number opposed in Grade 9: 2
P(opposed | Grade 9) = 2 / 14 = 0.14

6 0

3 years ago

Read 2 more answers

Kenji buys 3 yards of fabric for $7.47. Then he realizes that he needs 2 more yards. How much will the extra fabric cost?

bixtya [17]

3 yards fabric costs $7.47
1 yard fabric costs $7.47 / 3
2 yard fabric costs $7.47 / 3 * 2
= $4.98
so, the extra fabric will cost $4.98

4 0

3 years ago

Read 2 more answers