3 years ago

Fill in the blank (correctly). 20 points each.

Mathematics

1 answer:

lyudmila [28]3 years ago

7 0

Distributing same key numbers

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What is the equation of the line passing through the points (3,6) and (2,10)

andrezito [222]

Answer: y= - 4x+18

Step-by-step explanation:

Equation: y=mx+b

***remember: b is the y-intercept and m is the slope.

m= $\frac{y2-y1}{x2-x1}$

3= x1

2= x2

6= y1

10=y2

m= $\frac{10-6}{2-3}$ = $\frac{4}{1}$ = -4

m=-4

Now we have y=-4x+b , so let's find b.

You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:

(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.

(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.

Equation of the line: y=-4x+18

3 0

3 years ago

brandy is playing a game where she wins 50 points per round for 8 rounds. However, during the last round she gets penalized and

Mama L [17]

50*8=400
400+175=575
it subtracted 575 on the last round

4 0

3 years ago

The nutritional chart on the side of a box of a cereal states that there are 84 calories in a 3/4 cup serving. How many calories

pentagon [3]

<span>756=3/4x
x=1008 calories</span>

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3 years ago

Let g(x) = f(x+3) for some function f(x). Is g(x) a function? From the previous problem, let the domain of f(x) be [1, 4). What

padilas [110]

The domain of g(x) is [4, 7)

<h3>How to determine the domain of g(x)?</h3>

The function is given as:

g(x) = f(x + 3)

Since f(x) is a function, then g(x) is also a function

The domain of f(x) is given as:

[1, 4)

The equivalent of these values in g(x) are

x = 1 + 3 = 4

x = 4 + 3 = 7

Hence, the domain of g(x) is [4, 7)