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3 years ago

Which variable is most efficient to isolate?

Mathematics

2 answers:

mezya [45]3 years ago

7 0

y in the first equation because y is already by itself. All you have to do is move the -3x to the other side.

Tems11 [23]3 years ago

4 0

The <u>y in the first equation</u> because all you have to do is add 3x on both sides, and then y is by itself.

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Question 2

fomenos

Answer:

D. (-2,-5), (0, -7), (1, -4)

Step-by-step explanation:

From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of $f(x, y) = (y+2, -x-4)$ , which are: $A(x,y) = (1, -4)$ , $B(x,y) = (3,-2)$ and $C(x,y) = (0,-1)$ .

Then we proceed to find all elements of range:

$A(x,y) = (1, -4)$

$f(1,-4) = (-4+2,-1-4)$

$f(1,-4) = (-2,-5)$

$B(x,y) = (3,-2)$

$f(3,-2) = (-2+2,-3-4)$

$f(3,-2) = (0,-7)$

$C(x,y) = (0,-1)$

$f(0,-1) = (-1+2,0-4)$

$f(0,-1) = (1,-4)$

Which corresponds to option D.

3 0

3 years ago

Which of the following lines is perpendicular to the line Y = 3x -4

andriy [413]

Answer:

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be $\frac{1}{3}$ , and $\frac{5}{1}$ would be -5. The equation is written in slope-intercept form:

$y=mx+b$

m is the slope, so find the equation with the opposite reciprocal of 3, $-\frac{1}{3}$ :

$y=-\frac{1}{3} x+4$ is the only option with the correct slope, so the answer is D.

6 0

3 years ago

If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.

maks197457 [2]

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

$\frac{3.5}{x} = \frac{14}{18}$

Then you can make this equation:

14x = 3.5 * 18

I solved for it and got 4.5 .

5 0

3 years ago

I need help!!

netineya [11]

Answer:

2x +21

Step-by-step explanation:

$log_{5} {5}^{(2x - 9)} + log_{3} {729}^{5} \\ \\ = log_{5} {5}^{(2x - 9)} + log_{3} {( {3}^{6} )}^{5} \\ \\ = log_{5} {5}^{(2x - 9)} + log_{3} { {3}}^{6 \times 5} \\ \\ = log_{5} {5}^{(2x - 9)} + log_{3} { {3}}^{30} \\ \\ =(2x - 9) log_{5} {5} + 30 log_{3} { {3}} \\ \\ = (2x - 9).1 + 30(1 )\\ ( \because \: log_{a} { {a}} = 1) \\ \\ = 2x - 9 + 30 \\ \\ = 2x +21$

7 0

3 years ago

Choose the graph of the solution to this inequality.

Dmitriy789 [7]

Answer:

we can translate the given statement into-8 ≥ -5x + 2 > -38.

In this case, we can dissect the inequality into two parts:

-8 ≥ -5x + 2 and -5x + 2 > -38

Step-by-step explanation:

-8 ≥ -5x + 2 5x ≥ 10x ≥ 2 (closed dot)

-5x + 2 > -38 5x < 40x < 8 (open dot)

The answer then is c) number line with a closed dot on 2 and an open dot on 8 and shading in between

8 0

2 years ago