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3 years ago

What is the y-intercept of the equation 2g(x)+2x=4

Mathematics

1 answer:

uysha [10]3 years ago

7 0

2g(x) +2x=4

2( g(x) +x) = 2(2)

g(x) + x= 2

g(x) = 2- x

To get y intercept,

put x=0

g(x) = 2- 0

g(x) = 2

So,y intercept = 2

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Charlie walked a distance of 500 meters to school. It took him 5 minutes to arrive at school from home. What is his average spee

Nikolay [14]

Answer:

100 meters per minute

Step-by-step explanation:

Find his average speed by dividing the distance he walked by the number of minutes it took him:

500/5

= 100

So, his average speed was 100 meters per minute

6 0

3 years ago

Read 2 more answers

Define function. What are five representations of functions? Give an example of each.

IrinaK [193]

Answer:

A function is a relationship between two variables, such that one variable is determined by the other variable.

A function can be represented verbally. For example, the circumference of a square is four times one of its sides.

A function can be represented algebraically. For example, 3x+6 3 x + 6 .

A function can be represented numerically.

A function can be represented graphically.

Step-by-step explanation:

6 0

3 years ago

The motorcycle engine on a kawasaki ninja 1000 has a displacement of 1043 cubic-centimeters (cm3). in order to calculate its eng

marishachu [46]

$\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}$

<h3>Further explanation</h3>

We will calculate the unit conversion factor used to convert its engine displacement from cubic-centimeters to cubic-inches.

The relationships between inch and cm are as follows:

$\boxed{ \ 1 \ inch = 2.54 \ cm\ }$

Inches and cm represent units of length.

Made into fractions, 1 inch as the denominator and 2.54 cm as the numerator.

$\boxed{ \ \frac{1 \ inch}{2.54 \ cm} \ }$

As a unit conversion factor of volume, the numerator and the denominator in cubic.

$\boxed{ \ \frac{(1 \ inch)^3}{(2.54 \ cm)^3} \ }$

$\boxed{ \ \frac{1 \ inch^3}{16.387 \ cm^3} \ }$

Thus, we get the unit conversion factor

$\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}$

Let's use this unit conversion factor to calculate its engine displacement in new units.

$\boxed{= 1,043 \ cm^3 \times 0.061 \ \frac{inch^3}{cm^3}}$

Note for cm³ units that have been crossed out.

The conversion result is $\ \boxed{ \ 63.623 \ inch^3\ }$

<h3>Learn more</h3>

Convert cubic-kilometers to cubic-meters brainly.com/question/1446243
How to write in scientific notation brainly.com/question/7263463
Calculating mass based on density and volume brainly.com/question/4053884

Keywords: the motorcycle engine, Kawasaki Ninja 1000, 1043 cubic-centimeters (cm³), to calculate, its engine displacement, in cubic-inches (in³), what unit conversion factor

5 0

3 years ago

Read 2 more answers

I just need like a step by step I haven't understood what my teacher has taught me here

motikmotik

You are trying to find the side between the right angle and the degree (This is known as the adjacent)
You are given degree 42
You also given the longest side of 19 (This is known as the hypothenuse)
Cosine: adjacent/hypothenuse
Cos42 = x/19
0.7431448255 = x/19
x = 19 * 0.7431448255
x = 14.11975168, round to tenth

Solution: x = 14.1

7 0

2 years ago

Slope is –2 & (5, 3) is on the line.<br> Y-Intercept:<br> Equation of the line (no spaces):

insens350 [35]

Answer:

y-int: (0, 13)

Equation: y = -2x + 13

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

<em>m</em> = slope

<em>b</em> = y-intercept

Step 1: Define variables

<em>m</em> = -2

Random point (5, 3)

Step 2: Plug in known variables

y = -2x + b

Step 3: Find y-intercept <em>b</em>

3 = -2(5) + b

3 = -10 + b

b = 13

Step 4: Rewrite equation

y = -2x + 13

3 0

3 years ago