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3 years ago

Which of the following best describes set of numbers 6,9,12,15...

Mathematics

2 answers:

Jobisdone [24]3 years ago

5 0

You are counting by 3's

VladimirAG [237]3 years ago

3 0

What are the word choices?? Bc the question says, “which of the following...”

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Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).

arsen [322]

Answer:

$y=-2x+2$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

$m=\frac{y_2-y_1}{x_2-x_1}$ where the two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (-1, 4) and (0, 2)

$=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2$

Therefore, the slope of the line is -2. Plug this into $y=mx+b$ :

$y=-2x+b$

2) Determine the y-intercept

$y=-2x+b$

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

$y=-2x+2$

I hope this helps!

6 0

3 years ago

Cans of wood varnish come in three sizes.

LenKa [72]

The cost of 1 liter for the small and medium cans is 4.4 and 2.4.

<h3>What is Unitary method?</h3>

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

As,

Small can: A 200 ml can costs £0.88.

Medium can: A 500 ml can costs £1.32.

Large can: A 1 litre can costs £3.60.

Now, 200 ml = 0.2 l

500 ml = 0.5 l

For 0.2 l = 0.88

For 1 l= 0.88/0.2

For 1 liter = 4.4

For 0.5l medium can = 1.32

For 1 l medium can= 1.32/0.5

For 1 l medium can = 2.4

Hence, cost of 1 liter for the small can is £ 0.88 the cost of 1 liter for the medium can is £ 2.4.

Learn more about this concept here:

brainly.com/question/22469540

#SPJ1

8 0

2 years ago

I’m confused help me i need it rn

Likurg_2 [28]

Answer:

y = -(2/5)x+4

Step-by-step explanation:

The 2 points are 0,4 and 5,2. If you want to find the equation, you need slope. slope = rise/run = -2/5.

y = mx + b. The b is the y intercept, so it's 4.

The equation is y = -(2/5)x+4

7 0

3 years ago

Write the linearization of the function at the points indicated. (Enter your answer as an equation. Let x be the independent var

Natalija [7]

Answer:

$\displaystyle y=5+\frac{x}{10}$

$\displaystyle y=10+\frac{(x-75)}{20}$

Step-by-step explanation:

Linearization

It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.

Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is

$y=f(x)=f(a)+f'(a)(x-a)$