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xxMikexx [17]
3 years ago
6

Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x) Dawn writes 800 pages in 80 da

ys. x g(x) 2 −6 4 12 6 30
Mathematics
1 answer:
lilavasa [31]3 years ago
7 0
Given function f(x) which is described by "<span>Dawn writes 800 pages in 80 days".

From this function we can notice that Dawn writes 0 pages in 0 days, (i.e. the initial point of the function is point (0, 0).

Recall that the slope, m, of a line passing through points:
(x_1,y_1) and (x_2,y_2)
is given by
m= \frac{y_2-y_1}{x_2-x_1}

Function f(x) passes through points (0, 0) and (80, 800).

Thus the slope of function f(x) is given by
m= \frac{800-0}{80-0} = \frac{800}{80} =10


Give function g(x), passing through points (2, -6) and (4, 12), the slope is given by
m= \frac{12-(-6)}{4-2} = \frac{12+6}{2} = \frac{18}{2} =9

It can be seen that the slope of f(x) and the slope of g(x) are close.
</span>
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A student solved the following problem and made an error: Triangles ABC and DEF. Angles A and F are congruent and measure 135 de
nignag [31]

The first false statement in the proof as it stands is in Line 5, where it is claimed that a line of length 2.83 is congruent to a line of length 4.47. This mistake cannot be corrected by adding lines to the proof.

_____

The first erroneous tactical move is in Line 4, where the length of DE is computed, rather than the length of FD. This mistake can be corrected by adding lines to the proof.

A correct SAS proof would use segment FD in Line 4, so it could be argued that the first mistake is there.

7 0
3 years ago
Suppose that circles R and S have a central angle measuring 80°. Additionally, the measure of the sector for circle R is
riadik2000 [5.3K]
The correct answer is B) 9 m.

The measure of the sector of circle R is 32π/9 m.  The measure of the central angle is 80°.  This means that the sector is 80/360 = 2/9 of the circle.  The area of a circle is given by A=πr², so the area of the sector is A=2/9πr².  To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.

Using this same formula for circle S, we will work backward to find the radius:

18π = 2/9πr²

Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²

Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²

Take the square root of both sides:
√81 = √r² 
9 = r

6 0
3 years ago
Read 2 more answers
Dr.Purple wants to buy candy bars for all his 143 math students. He buys 9 cases plus 8 more individual bars. How many bars are
Annette [7]

There is 15 bars in each case.

Subtract 8 from 143 and you get 135.

Divide 135 by 9 and you get 15 :)

3 0
2 years ago
Read 2 more answers
Pls help me no one helps me
Ahat [919]

Answer:

20% error

Step-by-step explanation:

easy

9.4/7.8 or do 0.078x=9.4

1.20512820513

round to nearest tenth

1.2

means

20% error

4 0
2 years ago
Need help finding the x, y, and z. please and thank you
Reptile [31]

The first step in any problem is to look at what you are given. When solving systems of linear equations, it is often helpful to eliminate one or more of the variables by adding or subtracting a multiple of one equation with a multiple of another. It is convenient when at least one of the multipliers is 1.

Here, we can cancel the y-terms in the 2nd and 3rd equations simply by adding them together. This gives

... (5x +y -4z) +(-3x -y +5z) = (41) +(-45)

... 2x +z = -4 . . . . simplified

Likewise, we can add 3 times the second equation to the first to cancel y in that sum.

... 3(5x +y -4z) +(2x -3y +z) = 3(41) + (-1)

...15x +3y -12z +2x -3y +z = 123 -1

...17x -11z = 122 . . . . simplified

Now that we have 2 equations in x and z, we can go through the same process. We observe that the coefficient of z is +1 in the first equation and -11 in the second. The means we can cancel the z terms by adding 11 times the first equation to the second:

... 11(2x +z) +(17x -11z) = 11(-4) +122

...22x +17x = 78 . . . . . . simplify a little bit

... x = 78/39 = 2 . . . . . . divide by 39

From above, we find

... z = -4 -2x = -4 -2·2 = -8

... y = 41 -5x +4z = 41-5(2) +4(-8) = 41 -42 = -1

The solution is (x, y, z) = (2, -1, -8).

_____

The method of elimination used here will vary with the system of equations. If you want to employ a consistent method, you can use Cramer's Rule, Gaussian elimination, or matrix methods. Since you apparently don't mind help from technology, learning to do this on your graphing calculator can also be a good idea.

4 0
2 years ago
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