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Pie
3 years ago
11

Solve the system by substitution.

Mathematics
1 answer:
barxatty [35]3 years ago
5 0
Hope this is clear and helpful !

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This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane. -28 -
Serhud [2]

Answer:

The y-intercept is y = 2

Step-by-step explanation:

A linear function has the following format:

y = mx + b

In which m is the slope and b is the y-intercept, which is the value of y when x = 0.

We are given these three points:

(-28, -54)

(-21, -40)

(-14, -26)

We use two of them to build a system, to find values for m and b.

(-28, -54)

This means that when x = -28, y = -54

So

y = mx + b

-54 = -28m + b

28m = b + 54

m = \frac{b + 54}{28}

(-21, -40)

This means that when x = -21, y = -40

So

y = mx + b

-40 = -21m + b

-40 = -21\frac{b + 54}{28} + b

-40 = \frac{-21b - 1134 + 28b}{28}

7b - 1134 = -40*28

7b = 14

b = \frac{14}{7}

b = 2

The y-intercept is y = 2

7 0
3 years ago
If a ball is dropped from a height of 18 feet, the function f(x) = 18(0.75)* gives the height
NeTakaya

Answer:

<h2>At the 7th bounce, the ball reached 2.3 feet height.</h2>

Step-by-step explanation:

The given expression is

f(x)=18(0.75)^{x}

This exponential function represents the movement of a bouncing ball after being dropped.

x represents the bounce number.

So, at 7th bounce means x=7, replacing this value in the function, we have

f(7)=18(0.75)^{7}=18(0.13) \approx 2.34

Therefore, at the 7th bounce, the ball reached 2.3 feet height.

8 0
3 years ago
Tell whether the set of ordered pairs {(1,1), (3,3), (5,9), (8,13)} satisfies a linear function. Explain
egoroff_w [7]
Hello! In order to find a linear function without graphing it, we can see if the x-values (domain) has more than one value of y (range) out of this set of ordered pairs. Those ordered pairs represent a linear function, because each x-value does not have more than 1 y-value. Therefore, those points satisfies a function.
7 0
3 years ago
Giving brainliest and 20 points! please solve this. :D
andrezito [222]

Answer:

1.) 7x+5y

2.)-19m+14r

3.)22b+40c

4.)10x+25

5.)7m+7

Step-by-step explanation:

ez

6 0
3 years ago
Simplify. 43 · 4-6<br><br> by the way the 3 and -6 are expontes
Nadusha1986 [10]

4³ x 4^-6 you have to add the exponents, so it is <u>4 to the power of -3. </u> Hope this helps!

7 0
3 years ago
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