MATHEMATICS HIGH SCHOOL

Which equation represents a line that is parallel to the line whose equation is y = -3x - 7?y = 3x + 4
y = -3x + 7
y = (1/3x) + 1
y = (-1/3x) + 2

Answers

Answer 1
Answer: Hello,

Only the answer B has the same slope of -3

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Please solve the combined inequality and describe the graph. 3x-6 > -3 and 3x-6 < 12

Answers

1)3x-6 > -3

    3x > 3

    x>1

2)3x-6 < 12

   3x < 18

    x < 6

 In graph, x values would be: 1<x<6.

Shade line between 1 & 6.

If f(x)=(x+1)−1 and g(x)=x−2, what is the domain of f(x)÷g(x)f(x)÷g(x)?

Answers

(f(x))/(g(x))=((x+1)-1)/(x-2)=(x)/(x-2)\n\nD:x-2\not=0\nD:x\not=2\nD:x\in\mathbb{R}\setminus\{2\}

Answer: A

Step-by-step explanation:

For the graph shown, select the statement that best represents the given system of equations.Number graph ranging from negative five to five on the x axis and negative six to four on the y axis. A line with a negative slope is drawn on the graph.
6x + 4y = 2
3x + 2y = 1

A.
not enough information

B.
coincident

C.
consistent and independent

D.
inconsistent

Answers

Answer:

B. coincident

Step-by-step explanation:

An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.

So, given equations are:

6x + 4y = 2 and 3x + 2y = 1

Observe that if we divide the first by 2, we have

(6x + 4y)/(2)=(2)/(2)\n(6x)/(2)+(4y)/(2)=1\n  3x+2y=1

As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.

After analyzing the data provided in this question one can conclude that they are coincident. For the first system equation we have: 6x + 4y = 2. If we divide everything by 2 we will get: 3x + 2y = 1. Coincident means the same line.


The answer is choice B). Coincident.

I hope it helps, Regards.

A salad bar offers 10 choices of toppings for lettuce. In how many ways can you choose 3 or 4 toppings.a. 210
b.330
c.120
d.720​

Answers

Answer:

the answer is c.120

Step-by-step explanation:

10 x 3 x 4 = 120
The answer is c. 120

5/6+3/7 in simplest form

Answers

5/6 + 3/7

Common denominator is needed. 

5/6 = 35/42
3/7 = 18/42

Now add 

35 + 18 = 53

53/42 
53 - 42 = 11

1 and 11/42 
(5)/(6) + (3)/(7) =\n\n (35)/(42) + (18)/(42) =\n\n (35+18)/(42) =\n\n (53)/(42) =\n\n{\boxed{(53)/(42)\ or\ 1 (11)/(42)}

81 is 54% of what number

Answers

(54/100)*x = 81 => x = 8100/54=> x = 150;
The answer is 150. U can u is/of = %/100 try that next time
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1. For which value of x is the expression log base 4 of (x+3) not defined?a. 0b. -2c. 3d. -42. If log 7= a, what is the value of log 490 in terms of a?3. For what value of k will the graph of y=log base 7 of x contain the point (1,k)?