All categories

3 years ago

Solve for z. -4z+1 = bz+c

Mathematics

1 answer:

blagie [28]3 years ago

3 0

Answer:

$\large\boxed{z=\dfrac{1-c}{4+b}}$

Step-by-step explanation:

$-4z+1=bz+c\qquad\text{subtract 1 from both sides}\\\\-4z=bz+c-1\qquad\text{subtract}\ bz\ \text{from both sides}\\\\-4z-bz=c-1\qquad\text{change the signs}\\\\4z+bz=1-c\qquad\text{distribute}\\\\(4+b)z=1-c\qquad\text{divide both sides by}\ (4+b)\neq0\\\\z=\dfrac{1-c}{4+b}$

You might be interested in

One question simple please help

igor_vitrenko [27]

Answer:

$y = \frac{1}{3}x - 9$

Step-by-step explanation:

Standard equation of a line is y = mx + b, where m is the slope.

Given line y = - 3x + 78, slope, m₁ = -3

<em><u>To find the line perpendicular to the given line.</u></em>

The lines are perpendicular to each other if the product of their slopes = - 1

That is,

$m_1 \times m_2 = -1$

So the slope of new line is

$-3 \times m_2 = -1\\\\m_2 = \frac{-1}{-3} = \frac{1}{3}$

$Therefore , equation \ of \ new \ line \ \\\\(y - y_1) = m_2(x - x_1) , where \ (x_1 , y_1) = (9, -6 )\\\\(y - (-6))= \frac{1}{3}(x -9)\\\\y + 6 = \frac{1}{3} x - 3\\\\y = \frac{1}{3}x -3-6\\\\y = \frac{1}{3}x -9\\\\$

7 0

3 years ago

Please help me asap. I need an answer and full explanation. 1st person to complete that gets Brainliest. Question: Amelia likes

Zielflug [23.3K]

Answer:

22 cards

Step-by-step explanation:

Set up a ratio.

$\frac{34}{29+x} =\frac{2}{3}$

$58+2x=102$

$2x=44$

$x=22$

Check: Add 22 to 39. 22+29=51

34/51 = 2/3

Have a great day

3 0

2 years ago

The sum of a number and 3:

fenix001 [56]

Answer:

x+3?

Step-by-step explanation:

honestly, there is not alot of information present here. so when a hear "a number" i think variable.... which would be set up as x+3

6 0

3 years ago

For what values of m does the graph of y = 3x^2+ 7x + m have two x-intercepts?

qaws [65]

Answer:

m < 49/12

Step-by-step explanation:

The portion of the quadratic formula under the square root sign is the discriminant.

If the discriminant is > 0 then there are two real roots.

b² -4ac > 0

-----------------------------

7² - 4(3)m > 0

49 - 12m > 0

Subtract 49 from both sides

-12m > -49

Divide both sides by -12

(when multiplying or dividing by a negative the inequality must be reversed)

m < 49/12

8 0

3 years ago

15 and 3/5 as a fraction in simplest form

lianna [129]

Answer:

78/5

Step-by-step explanation:

(15 x 5 + 3)/5

78/5

4 0

3 years ago