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3 years ago

How to solve the equation 3x - 2y = 6 for y in terms of x

Mathematics

1 answer:

Klio2033 [76]3 years ago

6 0

3x - 2y = 6
-2y = -3x + 6
y = (-3/-2)x + 6/-2
y = 3/2x - 3

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Find f(g(-4)) if f(x) =7/x+2 and g(x) = (x + 5)^2. Options: -5/2 , -7/2 , 37/4 , 7/3

aev [14]

Answer:

7/3

Step-by-step explanation:

f(x) =7/(x+2)

g(x) = (x + 5)^2

f(g(-4))=

First find g(-4)

g(-4) = (-4+5)^2

=(1)^2 =1

Then find f(1)

f(1)= 7/(1+2)

= 7/3

5 0

3 years ago

Which of the following is a correct equation for the line passing through the point (-3,2)and having slope m=2/3

natta225 [31]

Correct answers are

B = y-2=2/3(x+3)

D = 2x-3y=-12

A = y=2/3x+4

5 0

3 years ago

Can someone please do this for me?

san4es73 [151]

Answer:

64°

Step-by-step explanation:

So supplement angles are equal to 180, so first our two angles added together will be 180:

x + x = 180

Now one of these angles is 6 greater than half:

x + (x/2 + 6) = 180

Then we will solve for x:

x + (x/2 + 6) = 180

x + x/2 + 6 = 180

x + x/2 = 174

$\frac{3}{2}$ x = 174

x = 116

Plug it back in:

x + (x/2 + 6) = 180

x/2 + 6

(116)/2 + 6

To check:

116 + 64 = 180 ✓

6 0

3 years ago

Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-

Lelu [443]

Answer:

The slope of the function graphed is less than the linear function that has an x-intercept of 1 and a y-intercept of -2.

Step-by-step explanation:

It is given that x-intercept is 1 and y-intercept is -2.

Now, the coordinate of the point is (1,0) and (0,-2).

We know that,

Slope = $\dfrac{y_2-y_1}{x_2-x_1}$

$S_1=\dfrac{-2-0}{0-1}$

$S_1 = \dfrac{-2}{-1}$

$S_1=2$

Now, Slope of the graph given

Co-ordinate is (-5,0) and (1,2).

Using the formula of slope

$S_2 = \dfrac{2-0}{1-(-1)}$

$S_2 = \dfrac{2}{1+1}$

$S_2 = \dfrac{2}{2}$

$S_2 =1$

Now, $S_1>S_2$

Hence, the slope of function graphed is less than linear function that has an x-intercept of 1 and a y-intercept of -2.

7 0

3 years ago

An arithmetic sequence is given below.

Mashcka [7]

Given that $a_1=24$ and $a_2=17$ , if $a_n$ is an arithmetic sequence, then the common difference between successive terms is $d=a_2-a_1=17-24=-7$ .

You then have

$a_2=a_1+d$
$\implies a_3=a_2+d=a_1+2d$
$\implies a_4=a_3+d=a_1+3d$
$\implies \cdots\implies a_n=a_{n-1}+d=\cdots=a_1+(n-1)d$

So the explicit formula for the $n$ th term is

$a_n=24-7(n-1)$

3 0

3 years ago