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Black_prince [1.1K]
3 years ago
5

, what does it mean to "substitute" a value into an equation or expression

Mathematics
1 answer:
Strike441 [17]3 years ago
4 0

Answer: You plug in a value for one of the variables

Step-by-step explanation: For example f(x)=2x+2

x=6 2(6) +2=14

You might be interested in
An angle measures 32° more than the measure of its complementary angle. What is the measure of each angle?
Leviafan [203]

Answer:

29° ; 61°

Step-by-step explanation:

Let one angle  = x°

Other angle = (x + 32)°

x + x + 32 = 90   {given they are complementary}

2x + 32 = 90

2x = 90 -32

2x = 58

x = 58/2

x = 29

One angle  = 29°

Other angle = 29 + 32 = 61°            

3 0
3 years ago
In which of the following graphs is there evidence of correlation AND causation?
atroni [7]
Correlation between Ice cream sales and sunglasses sold Causation takes a step further than correlation
7 0
3 years ago
What is the equation of the line that goes through the points (4,-1) and<br> (2,3)?
Arturiano [62]

Answer:

<u>y = -2x + 7</u>

Explanation:

<em><u>y = mx + b</u></em>

<em><u /></em>

<em>m = slope</em>

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

<em>y = a given y coordinate</em>

<em>x = a corresponding x coordinate</em>

<em />

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = \frac{y_2-y_1}{x_2-x_1} = \frac{3-(-1)}{2-4} = \frac{4}{-2} = -2

plug in the values to the equation <u>y = mx + b</u>

<u />

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

<u><em>y = -2x + 7</em></u>

5 0
3 years ago
The height 'h' (in feet) of a ball in a baseball game can be modeled by h = -16t² + 28t + 8 , where 't' is the time (in seconds)
lidiya [134]

Answer:

  a)  No. t < 0 is not part of the useful domain of the function

  b) 2.0 seconds

Step-by-step explanation:

a) A graph of the function is shown below. It shows t-intercepts at t=-0.25 and t=2.0. We presume that t is measured forward from some event such as the ball being thrown or hit. The model's predicted ball location has no meaning prior to that event, when values of t are negative.

__

b) It is convenient to use a graphing calculator to find the t-intercepts. Or, the equation can be solved for h=0 any of several ways algebraically. One is by factoring.

  h = 0 = -16t² +28t +8 . . . . . . . . . . . . the ball hits the ground when h = 0

  0 = -4(4t² -7t -2) = -4(4t +1)(t -2)

This has t-intercepts where the factors are zero, at t=-1/4 and t=2.

The ball will hit the ground after 2 seconds.

4 0
3 years ago
Which point on the scatter plot is an outlier?
dlinn [17]

Answer:

The point 9,50

Step-by-step explanation:

All the other ones are within a reasonable distance of each other.

7 0
2 years ago
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