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3 years ago

I WILL MARK YOU BRAINLIEST!!!!!

Mathematics

1 answer:

mamaluj [8]3 years ago

8 0

Answer:

Step-by-step explanation:

you were told to draw a graph

f(x) or y is 4 when x less than or equal to 3. so you must draw straight horizontal line at y = 4 start from x = 3 to the left

(fx) or y is 2 when x bigger than 3. so, 3 is not included. so you must draw straight horizontal line at y = 2 start from x = 3 to the right with empty circle first (it means 3 not included)

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Anvisha [2.4K]

$\dfrac{2ax+3}{ax+3}=-1$

Rewrite -1 as a fraction

$\dfrac{2ax+3}{ax+3}=\dfrac{-1}{1}$

Cross multiply

$2ax+3=-1(ax+3)$

Distribute the -1

$2ax+3=-ax-3$

Add both sides by ax

$3ax+3=-3$

Subtract both sides by 3

$3ax=-6$

Divide both sides by 3a

$x=-\dfrac{6}{3a}$

Simplify

$=-\dfrac{2}{a}$

That's the value of x respect to a. Let me know if you need any clarifications, thanks!

8 0

4 years ago

Read 2 more answers

Someone help me solve this please, I'd appreciate it if you can walk me through the steps. If not, just answering it is okay :)

Marat540 [252]

Answer:

c. -8

Step-by-step explanation:

Given:

$\frac{4b \div c}{1 - a}$

a = 5, b = 8, and c = 1

To evaluate, plug in the values into the expression given.

Thus:

$\frac{4(8) \div 1}{1 - 5}$

$\frac{32 \div 1}{1 - 5}$

$\frac{32}{-4}$

$\frac{8}{-1} = - 8$

4 0

3 years ago

Perpendicular to the line 4x - 6y + 7 = 0 , passing through (3, 4) .

PilotLPTM [1.2K]

Answer:

The equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

Step-by-step explanation:

Given equation of line is:

$4x - 6y + 7 = 0$

Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.

So,

$4x+7 = 6y\\6y=4x+7\\\frac{6y}{6} = \frac{4x+7}{6}\\y = \frac{4}{6}x+\frac{7}{6}\\y=\frac{2}{3}x+\frac{7}{6}$

The standard form of slope-intercept form of equation is:

$y=mx+b$

Here, the co-efficient of x is the slope of the line.

So the slope of given line is: 2/3

m = 2/3

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line

Then

$m.m_1 = -1\\\frac{2}{3} . m_1 = -1\\m_1 = -1*\frac{3}{2}\\m_1 = -\frac{3}{2}$

The equation of perpendicular will be:

$y = m_1x+b$

Putting the value of slope

$y = -\frac{3}{2}x+b$

To find the value of b, putting (3,4) in the equation

$4 = -\frac{3}{2}(3)+b\\4 = -\frac{9}{2}+b\\b = 4+\frac{9}{2}\\b= \frac{8+9}{2}\\b=\frac{17}{2}$

So the equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

7 0

3 years ago

In 1950, the per capita gross domestic product (GDP) of Australia was approximately $1800. Each year afterwards, the per capita

Charra [1.4K]

The function would be: G(t) = 1800(1.067)^t

This is an exponential equation. There are in the form: y = ab^x

The a value represents the starting amount of 1800.

The b value represents the increasing rate of 1.067 (adding on 6.7%).

8 0

4 years ago

Read 2 more answers

Kristy is making a rectangular quilt that is 2 feet longer than it is wide. If the perimeter of the quilt is to be 32 feet, what

Paul [167]

Huhvffghgcddtujgffyjbfghj

8 0

4 years ago

*I WILL MARK YOU BRAINLIEST!!!!!*

I WILL MARK YOU BRAINLIEST!!!!!