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const2013 [10]
3 years ago
8

On a number line, graph all the temperature that are warmer than -2 degrees Celsius

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0
The inequality would be x>2
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F(x) = 3^x Find f(x) when x = 8.
Sladkaya [172]

Answer:

f(8) = 3^8  = 6561

Step-by-step explanation:

f(x) = 3^x

Let x =8

f(8) = 3^8

     = 6561

5 0
4 years ago
Read 2 more answers
The point (−3, 1) is on the terminal side of angle Θ, in standard position. What are the values of sine, cosine, and tangent of
inn [45]
The angle is in the second quadrant  so only the sine is positive . 
Length of the hypotenuse = sqrt (-1^2 + 3^2)  = sqrt10
sine  =  1/sqrt10 =  0.3162 to 4 dec places
tangent = 1 / -3 =  -0.3333  to 4 d p's
cosine = -3/sqrt10 = -0.9487 to 4 d, p's.
8 0
3 years ago
Read 2 more answers
Is the relationship shown by the data linear? If so, model the data with an equation. x y –7 5 –5 9 –3 13 –1 17
diamong [38]

Given:

The table of values is:

x :     -7          -5         -3           -1

y :      5           9         13          17

To find:

Whether the given data is linear and then find the equation.

Solution:

The given data is linear if the slope and rate of change is constant.

Slope formula:

m=\dfrac{y_2-y_1}{x_2-x_1}

Using the slope formula. we get

\dfrac{9-5}{-5-(-7)}=2

\dfrac{13-9}{-3-(-5)}=2

\dfrac{17-13}{-1-(-3)}=2

Since the rate of change is constant, i.e., 2, therefore the given data is linear.

The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:

y-y_1=m(x-x_1)

y-5=2(x-(-7))

y-5=2(x+7)

y-5=2x+14

Adding 5 on both sides, we get

y-5+5=2x+14+5

y=2x+19

Therefore, the equation for the given data is y=2x+19.

8 0
3 years ago
Did ancient mathematicians use a ruler to determine the values of sine and cosine in a circle?
12345 [234]

They didn’t use a ruler I think they made their own materials from what they had. Also thank you.

6 0
3 years ago
Read 2 more answers
A movie theater charges $9.50 for adults and $4.50 for children. For a recent showing of a movie, the theater sold 33 tickets an
choli [55]

Answer:

The  number of children's tickets sold was 31 and the number of  adult tickets sold was 2

Step-by-step explanation:

Let

x ---> the number of children's tickets sold

y ---> the number of  adult tickets sold

we know that

the theater sold 33 tickets

so

x+y=33 -----> equation A

the theater made a total of $158.50

so

4.50x+9.50y=158.50 ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (31,2)

see the attached figure

therefore

The  number of children's tickets sold was 31 and the number of  adult tickets sold was 2

5 0
4 years ago
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