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2 years ago

Select the graph which correctly displays the function f(x) = |x + 2|– 3.

Mathematics

1 answer:

Veronika [31]2 years ago

5 0

Answer:

Graph 4

Step-by-step explanation:

I have to put more words lol

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Write equation of the line below

vodka [1.7K]

Hi there!

We are given two ordered pairs which are:

(0,0)
(5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

Since we have two given points, we can substitute them in the formula.

$\large{m = \frac{4 - 0}{5 - 0} } \\ \large \boxed{m = \frac{4}{5} }$

2. Form an equation.

Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

$\large \boxed{y = mx + b}$

Where m = slope and b = y-intercept. We substitute m = 4/5.

$\large{y = \frac{4}{5} x + b}$

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

$\large \boxed{y = \frac{4}{5} x}$

3. Answer

Therefore the equation of the line is y = 4x/5.

6 0

2 years ago

Solve this system of equations using the substitution method.

Bingel [31]

Answer:

x = 1.2

y = 6.6

Step-by-step explanation:

1) y= -2x+9

2) 8x-3=y

Substitute y in equation 1 using y in equation 2.

8x - 3 = -2x + 9

+ 3 on both sides

8x = -2x + 12

+ 2x on both sides

10x = 12

x = 1.2

To find y, plug in x

8x - 3 = y

9.6 - 3 = y

6.6 = y

Hope this helps :)

5 0

2 years ago

I’m thinking it’s 13? But need someone to clarify if I’m correct!?

Papessa [141]

Answer:

It's 13

Step-by-step explanation:

Well, just use the triangle inequality theorem and pay close attention to angles CAB and EAC... that's all I can say

Hope that helped

8 0

2 years ago

Gasoline costs 1.05 euro per liter in France. What is the price in dollars per gallon?

Alecsey [184]

The price in dollars per gallon is 4.02 dollars per gallons.

<h3>How to find the price of gasoline in dollars per gallon?</h3>

Gasoline costs 1.05 euro per litre in France.

The first thing to do is to determine the equivalent amount of the same litre in dollar while in France.

Then, equate it the quantity of litres to gallons.

Hence,

1 euro = 1.01 dollars

1.05 euro = ?

cross multiply

price = 1.05 × 1.01

price = 1.0605 dollars

1 litres = 0.264172 gallons

Therefore,

cost = 1.0605 / 0.264172

cost = 4.01552442257 dollars per gallons

cost = 4.02 dollars per gallons

Therefore, the price in dollars per gallon is 4.02 dollars per gallons.

learn more on price here: brainly.com/question/14501882

#SPJ1

6 0

1 year ago

A conical glass flower vase has a base that is 6 inches in diameter and a vase that holds approximately 113 in.³ of water what i

inna [77]

Answer:

128 ft

Step-by-step explanation:

5 0

2 years ago