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4 years ago

Rewrite 4x = y +6 in slope-intercept form.

Mathematics

2 answers:

8090 [49]4 years ago

8 0

Answer:

y = 4x - 6.

Step-by-step explanation:

Slope-intercept form is y = mx + c where m = the slope and c = the y-intercept.

4x = y +6

Subtract 6 from both sides:

4x - 6 = y

we would write it as y = 4x - 6.

Mariana [72]4 years ago

8 0

Answer:

Slope intercept form

y = 4x - 6

Step-by-step explanation:

Slope intercept form y = mx + b

In this case 4x = y +6

Re-write

y + 6 = 4x

Subtract 6 from both sides

y = 4x - 6 <-------Slope intercept form

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Find the value of x <br> 76degrees and 49degrees

Temka [501]

Answer:

Step-by-step explanation:

Judging by the context, you are looking for the angle x of a triangle, where the other two angles are 76 and 49. The sum of a triangle's angles is always 180, so

76 + 49 + x = 180

125 + x = 180

x = 55

3 0

3 years ago

Explain and find the instantaneous velocity for s(t) = -3 - 7t when t = 5 seconds using the limit of the difference quotient.

Taya2010 [7]

Answer:

-7 m/s

Step-by-step explanation:

The limit of the difference quotient is used to find the slope passing through two point. It is gotten by taking the limit as h approaches zero. It is given by:

$\frac{f(x+h)-f(x)}{h}$

Given that:

The function s(t) = -3 - 7t

$s(t+h)=-3-7(t+h)=-2-7t-7h$ .

Using the limit of the difference quotient formula:

$Limit\ of\ difference= \lim_{h \to 0} \frac{s(t+h)-s(t)}{h}=\lim_{h \to 0}\frac{-3-7t-7h-(-3-7t)}{h}= \lim_{h \to 0}\frac{-3-7t-7h+3+7t)}{h}$

$Limit\ of\ difference= \lim_{h \to 0}\frac{-7h}{h}= -7.\\Therefore\ instantaneous\ velocity=-7\\at\ t=5\\instantaneous\ velocity=-7\ m/s$

3 0

3 years ago

Suppose △ABC has exterior angle at vertex B. The exterior angle is (12x−24)°, m∠A=(3x−6)°, and m∠C=(6x+12)°. What is the measure

Temka [501]

Answer: 96°

Step-by-step explanation:

If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.

Set them equal each other and solve for x.

(3x-6) + (6x +12) = 12x - 24 Combine like terms

9x + 6 = 12x - 24 Subtract 6 from both sides

- 6 -6

9x = 12x - 30 Subtract 12x from both sides

-12x -12x

-3x = -30 Divide both sides by -3

x = 10

Now since x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.

Exterior : 12(10) - 24

120 - 24 = 96

This means the measure of the exterior angle at vertex B is 96 degrees.

6 0

3 years ago

Let f(x)=4x−1 and g(x)=x2+ 2.<br> Find (f◦g)(5).

serg [7]

Step-by-step explanation:

$f(g(x) = 4(2x + 2) - 1 \\ 4(2(5) + 2) - 1 \\ 4(12) - 1 \\ 48 - 1 = 47$

7 0

3 years ago

3x+6/x^2-x-6+2x/x^2+x-12

Tanzania [10]

$\dfrac{3x+6}{x^2-x-6} + \dfrac{2x}{x^2+x-12}$

$= \dfrac{3(x+2)}{(x + 2)(x - 3)} + \dfrac{2x}{ (x - 3)(x + 4)}$

$= \dfrac{3}{(x - 3)} + \dfrac{2x}{ (x -3)(x + 4)}$

$= \dfrac{3(x+4)}{(x - 3)(x + 4)} + \dfrac{2x}{ (x -3 )(x + 4)}$

$= \dfrac{3(x+4) + 2x }{(x - 3)(x + 4)}$

$= \dfrac{3x+12 + 2x }{(x - 3)(x + 4)}$

$= \dfrac{5x+12}{(x - 3)(x + 4)}$

6 0

4 years ago