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Elis [28]
3 years ago
10

How do defined terms and undefined terms relate to each other?

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0

I would say something along the lines of how they can both be used to define other terms.

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a repairman purchased several furnace-blower motors for a total cost of $280 of his cost per motor has been $5 less, he could ha
nika2105 [10]

Answer:

It would be 550 because 280 - 5 = 275 and if he buys a new 1 it would cost the same and you add both

Step-by-step explanation:

4 0
3 years ago
The outside temperature can be estimated based on how fast crickets chirp. At 104 chirps per minute, the temperature is 63 degre
Rasek [7]

Answer:

For 124 chirps per minute the temperature is 68 ºF.

For 68 chirps per minute the temperature is 54 ºF.

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form

f(x)=b+mx

b is the constant term or the y intercept. It is the value of the dependent variable when x = 0.

m is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.

We know that

  • At 104 chirps per minute, the temperature is 63 ºF.
  • At 176 chirps per minute, the temperature is 81 ºF.

This information can be converted to Cartesian coordinates (x, y). Where x = the number of chirps per minute and  y = the temperature in ºF.

To find a linear function that let us find the outside temperature from how fast crickets chirp we must:

  • Find the slope:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{81-63}{176-104}=\frac{1}{4}

  • Find the equation:

81=\frac{1}{4}\cdot 104+b

Solving for b

b=81-\frac{1}{4} (176)=37

Therefore, the linear function is

y=\frac{1}{4} \cdot x+37

Now, using this linear function we can know the temperature when we know the chirps per minute:

For 124 chirps per minute the temperature is:

y=\frac{1}{4} \cdot (124)+37=68

For 68 chirps per minute the temperature is:

y=\frac{1}{4} \cdot (68)+37=54

6 0
3 years ago
Two hundred people were surveyed about their favorite outdoor leisure activity. The results of the survey are displayed in the c
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39% of people said they prefer geocaching. 
6 0
3 years ago
Whats 3/z = 2/5. Please HELP!! Due in 20 minutes!!!
attashe74 [19]

Step-by-step explanation:

Hey there!!

Given,

\frac{3}{z}  =  \frac{2}{5}

Cross multiply.

15 = 2z

Therefore, z= 15/2

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
3 years ago
Read 2 more answers
What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?
maxonik [38]

we have

f(x)=-(x+8)(x-14)

Convert to vertex form

f(x)=-(x+8)(x-14)\\f(x)=-( x^{2}-14x+8x-112) \\f(x)=-( x^{2}-6x-112)\\f(x)=-x^{2}+6x+112

we know that

the equation of a vertical parabola in vertex form is equal to

y=a(x-h)^{2} +k

where

(h,k) is the vertex

f(x)=-x^{2}+6x+112

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-112=-(x^{2}-6x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-112-9=-(x^{2}-6x+9)

f(x)-121=-(x^{2}-6x+9)

Rewrite as perfect squares

f(x)-121=-(x-3)^{2}

f(x)=-(x-3)^{2}+121

the vertex is the point (3,121)

therefore

<u>the answer is </u>

The y-value of the vertex is 121

8 0
3 years ago
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