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OleMash [197]
2 years ago
11

On a mountain, the temperature decreases by 18°F every 5000 feet. What integer represents the change in temperature at 20,000 fe

et?
Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
8 0
18 times 4 = 72

Because 5000 times 4 = 20,000

The change in temp. is -72degrees
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Can someone help me with this?
forsale [732]

Answer:

36 ft.

Step-by-step explanation:

The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.

It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.

Hypotenuse: 5 x 3 = 15

Leg 1: 4 x 3 = 12

Leg 2: 3 x 3 = 9

Perimeter: 15 + 12 + 9 = 36

36 ft. is your answer.

8 0
2 years ago
What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

x=\frac{8\pm\sqrt{4}} {2}

x=\frac{8\pm2} {2}

x=\frac{8+2} {2}=5

x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0
2 years ago
Identify which of the twelve basic functions listed below fit the description given. The three functions that are bounded above.
Irina18 [472]

Answer:The Sine function:  

f

(

x

)

=

sin

(

x

)

The Cosine function:  

f

(

x

)

=

cos

(

x

)

and

The Logistic function:  

f

(

x

)

=

1

1

−

e

−

x

are the only function of the "Basic Twelve Functions" which are bounded above.

Step-by-step explanation:

8 0
3 years ago
7. If x can be any number, how many solutions are there for the equation? y = 7x – 1 * A. There are two solutions because there
Hitman42 [59]
For the function y = 7x - 1, if you state that the domain(or all the numbers you can substitute in for "x") of that function is the set of all real numbers, then you can assume that there will be an infinite number of solutions for the function.

In other words, if you substitute any real number in for "x" you will find that you will get a corresponding value for "y".  In fact, these "pairs" of corresponding values of x and y are called ordered pairs and represent the various solutions of the equation.  

Your response should be choice D:  
5 0
3 years ago
Write an equation of the line that passes through the points (-3,-4),(6,-1)
klasskru [66]
Find and review the slope formula.

The slope of a line segment that connects the points (a, b) and (c, d) is
           d-b
m = --------------
           c-a

Write out this formula for a=-3, b=-4, c=6 and d=-1.

3 0
3 years ago
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