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GuDViN [60]
3 years ago
12

Please help with these questions

Mathematics
1 answer:
Elis [28]3 years ago
6 0
Obviously, what you looking for is slopes. Now let's get started. 
6.) 7x-5y=20 You subtract 7x both sides.
    -7x      -7x
-5y=-7x+20  Then you divide -5 both sides (which is include -7 and 20).
y=7/5x-4 Simplify.
-8x-3y=12 Add 8x both sides because it's a negative number.
+8x    +8x
-3y=8x+12 Divide -3 both sides.
y=-8/3x-4 Simplify.
 And your point value is (0,-4).
7.) -x-4y=12 Add x both sides.
     +x     +x
-4y=x+12 Divide -4 both sides.
y=-1/4x-3 Simplify.
20x+80y=0 Subtract 20x both sides.
-20x      -20x
80y=-20x Divide 80 both sides. Here's a hint: 20/80 is same thing as 2/8, so 
                you don't have to do all that. 
y=1/4x Simplify. Here's another hint: I bet you wondering there's no y-                         intercept. The y-intercept is (0,0).
Both of the functions are parallel, so there's no solution. 
8.) 30x+50y-100=0 Add 100 both sides.
                +100  +100
30x+50y=100 Subtract 30x both sides. 
-30x       -30x
50y=-30x+100 Divide 50 both sides.
y=-3/5x+2 Simplify.
3x-15y-30=0 Add 30 both sides.
          +30 +30
3x-15y=30 Subtract 3x both sides.
-3x      -3x
-15y=-3x+30 Divide -15 both sides.
y=1/5x-2 Simplify.
And your point value is (5,-1).
I hope it helps.
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Model 3xfx Write the inverse of the rational function used to represent the situation in model 3, .
kompoz [17]
Make f(x) = y
y = (15x + 50)/(x + 5)
Swap the x and y and make y the subject again
x = (15y + 50)/(y + 5)
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
xy - 15y = 50 - 5x
y(x - 15) = 50 - 5x
y = (50 - 5x)/(x - 15)
So inverse function f^-1(x) = (50 - 5x)/(x - 15)
5 0
2 years ago
g A coin where the probability of heads is 0.3 is flipped 2000 times. Use the normal approximation to the binomial distribution
matrenka [14]

Title:

<h2>See the explanation.</h2>

Step-by-step explanation:

The coin is to be flipped 2000 times.

The probability of getting a head is 0.3.

It is given that, we need to get a head in between 575 and 618 times.

If we will get 575 heads then we will get (2000 - 575) tails.

Hence, if we take that we want to get n times head, then we will get (2000 - n) times tail.

The probability of not getting a head is (1 - 0.3) = 0.7.

The probability of getting n times head is ^{2000}C_n (0.3)^n \times (0.7)^{2000 - n}.

The required probability is ∑ ^{2000}C_n (0.3)^n \times (0.7)^{2000 - n}, where 575 \leq n \leq 618.

5 0
3 years ago
Write an equation for the line parallel to the given line that contains C.<br> C(1,4)​; y=−3x+1
Elis [28]

Answer:The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness  of a line and the y-intercept is the point where the line intersects  the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)

Step-by-step explanation:

5 0
3 years ago
Let f(x) = x + 3 and g(x) = 1/x The graph of (gºf)(x) is shown below what is the range of ( gof) (x) .
charle [14.2K]

Answer:

The range of the function (g\°f)(x) is

B.  is all real numbers except y=0

Step-by-step explanation:

Given functions:

f(x)=x+3

g(x)=\frac{1}{x}

To find the range of (g\°f)(x).

Solution:

In order to find (g\°f)(x) , we will plugin f(x) in function g(x).

(g\°f)(x)=g(f(x))

(g\°f)(x)=\frac{1}{x+3}

The graph of the function (g\°f)(x) shows that

1) As x approaches -3 (but never touches the line x=-3), y tends to positive or negative infinity.

2) As y approaches 0 (but never touches the line y=0) , x tends to positive or negative infinity.

Thus, the range of the function is all real numbers except y=0

4 0
3 years ago
How many quarters are in a jar of quarters worth $9.75?
grigory [225]

Answer:

39

Step-by-step explanation:

quarters are worth $.25. just divide 9.75 by .25 and you get your answer.

9.75 ÷ .25 = 39

6 0
3 years ago
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