Ask question

Ask question

All categories

4 years ago

12

Column A 1. one solution: one solution 2. no solutions: no solutions 3. infinite solutions: infinite solutions 4. System of equa

tions: System of equations 5. Solution: Solution 6. Equation: Equation Column B a.A representation of a scenario b.same slope, different intercepts c.same slope, same intercept d.The point where two lines intersect e.Two or more equations working together f.different slopes, different intercepts

1 answer:

kirill115 [55]4 years ago

7 0

Answer:

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.

Step-by-step explanation:

You might be interested in

Y=3x+2 and 3y-9x=-6 in a linear equations and identify their solucion

aleksandrvk [35]

Answer:

The system has no solution

Step-by-step explanation:

we have

$y=3x+2$ ----> equation A

$3y-9x=-6$

isolate the variable y

$3y=9x-6$

Divide by 3 both sides

$y=3x-2$ ----> equation B

Compare equation A and equation B

Their slopes are equal and their y-intercepts are different

Remember that

If two lines have the same slope, then the lines are parallel

In this problem we have two different parallel lines, so, the lines don't intercept

therefore

The system has no solution

4 0

3 years ago

Find the miss exponent

ivolga24 [154]

Maybe 2, 2 is always the default exponent

6 0

3 years ago

Solve In (2x+3)=7 round to the nearest thousandth

e-lub [12.9K]

To solve this problem you must apply the proccedure shown below:

1. You have:
<span>
In(2x+3)=7

2. Then, you must apply log(e), as below:
</span><span>
In(2x+3)=ln(e^7)

3. Now, you obtain:

2x+3=e^7

4. Youy must clear the variable "x", as below:

2x=e^7-3
</span> x=(e^7-3)/2
<span>
5. Therefore, the value of "x" is:

x=546.817
</span><span>
The answer is: </span>x=546.817<span> </span>

8 0

3 years ago

A telecommunications company offers two calling cards. The first card costs $25 for 750 minutes, while the second card costs $40

dmitriy555 [2]

Step-by-step explanation:

You can use the unituary method in this one

First card:

$25/750 min

divide both sides by 750 to figure out how many $ per min the calling card would be

25/750=0.033333333333333333333333333333333333333

750/750=1

the first card costs $0.03333333(going on)/min

Second card

$40/1,300 min

Divide both sides by 1,300

40/1300=0.03076923

1300/1300=1

Second card costs $0.03076923/min

$0.03076923<$0.03333333(going on)

therefore the second card is the better deal

4 0

3 years ago

Select all expressions that represent a correct solution to the equation 6(x+4)=20. copied for free from openupresources.Org Sel

baherus [9]

Option D: $20 \div 6-4$ is the correct solution to the equation $6(x+4)=20$

Option E: $\frac{1}{6} (20-24)$ is the correct solution to the equation $6(x+4)=20$

Option F: $(20-24) \div 6$ is the correct solution to the equation $6(x+4)=20$

Explanation:

The expression is $6(x+4)=20$

Let us find the value of x.

$\begin{aligned}6(x+4) &=20 \\6 x+24 &=20 \\6 x &=-4 \\x &=-\frac{2}{3}\end{aligned}$

Now, we shall find the expression that is equivalent to the value $x=-\frac{2}{3}$

Option A: $(20-4) \div 6$

Simplifying the expression, we have,

$\frac{16}{6}=\frac{8}{3}$

Since, $\frac{8}{3}$ is not equivalent to $x=-\frac{2}{3}$ , the expression $(20-4) \div 6$ is not equivalent to the equation $6(x+4)=20$

Hence, Option A is not the correct answer.

Option B: $16(20-4)$

Simplifying the expression, we have,

$16(16)=256$

Since, 256 is not equivalent to $x=-\frac{2}{3}$ , the expression $16(20-4)$ is not equivalent to the equation $6(x+4)=20$

Hence, Option B is not the correct answer.

Option C: $20-6-4$

Simplifying the expression, we have,

$20-10=10$

Since, 10 is not equivalent to $x=-\frac{2}{3}$ , the expression $20-6-4$ is not equivalent to the equation $6(x+4)=20$

Hence, Option C is not the correct answer.

Option D: $20 \div 6-4$

Using PEMDAS and simplifying the expression, we have,

$\begin{aligned}(20 \div 6)-4 &=\frac{10}{3}-4 \\ &=\frac{10-12}{3} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $20 \div 6-4$ is equivalent to the equation $6(x+4)=20$

Hence, Option D is the correct answer.

Option E: $\frac{1}{6} (20-24)$

Simplifying the expression, we have,

$\begin{aligned} \frac{1}{6}(20-24) &=\frac{1}{6}(-4) \\ &=-\frac{4}{6} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $\frac{1}{6} (20-24)$ is equivalent to the equation $6(x+4)=20$

Hence, Option E is the correct answer.

Option F: $(20-24) \div 6$

Simplifying the expression, we have,

$\begin{aligned}(20-24) \div 6 &=-\frac{4}{6} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $(20-24) \div 6$ is equivalent to the equation $6(x+4)=20$

Hence, Option F is the correct answer.

6 0

4 years ago