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BARSIC [14]
2 years ago
12

select all the correct answers. Consider the function f and function G. f(x) = ln x, g(x)= -5 ln x. How does the graph of functi

on g compare with the graph of function f? NO LINKS!! ​

Mathematics
1 answer:
Kaylis [27]2 years ago
6 0
  • f(x)=ln(x){Attachment 1}
  • g(x)=-5ln(x){Attachment 2}

Option C and B are correct

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Nat has 2 episodes filmed for her new series. She plans
Maslowich
2+(6m)

2 being the episode’s she has already created

6m is 6 times any number of months (m)
3 0
2 years ago
Madison saves 40% of all that she earns for washing cars. So far she has saved $72 . How much has she earned in all?
UkoKoshka [18]

Answer:

40% = 72

divide both sides by 40 to find 1%

1% = 1.8

now multiply by 100 to find total amount earned

100% = 180

total earned $180

7 0
3 years ago
fine the y intercepts and intersection point for each graph. then write a system of equation for each graph.​
vovikov84 [41]

Answer:

In the previous lesson, you learned how to graph points on the coordinate plane. We can connect two points with a straight line.

To graph the equation of a line, we plot at least two points whose coordinates satisfy the equation, and then connect the points with a line. We call these equations "linear" because the graph of these equations is a straight line.

There are two important things that can help you graph an equation, slope and y-intercept.

Slope

We're familiar with the word "slope" as it relates to mountains. Skiers and snowboarders refer to "hitting the slopes." On the coordinate plane, the steepness, or slant, of a line is called the slope. Slope is the ratio of the change in the y-value over the change in the x-value. Carpenters and builders call this ratio the "rise over the run." Using any two points on a line, you can calculate its slope using this formula.

Let's use these two points to calculate the slope m of this line.

A = (1,1) and B = (2,3)

Subtract the y value of point A from the y-value of point B to find the change in the y value, which is 2. Then subtract the x value of point A from the x value of point B to find the change in x, which is 1. The slope is 2 divided by 1, or 2.

When a line has positive slope, like this one, it rises from left to right.

WATCH OUT! Always use the same order in the numerator and denominator!

It doesn't really matter whether you subtract the values of point A from the values of point B, or the values of point B from the values of point A. Try it - you'll get the same answer both ways. But you must use the same order for both the numerator and denominator!

You can't subtract the y value of point A from the y value of point B, and the x value of point B from the x value of point A - your answer will be wrong.

Let's look at another line. This line has a negative slope, it falls from left to right. We can take any two points on this line and find the slope. Let's take C (0, -1) and D (2, -5).

Using these two points, we can calculate the slope of this line. We subtract the y value of point C from the y value of point D, and the x value of point C from the x value of point D, and divide the first value by the second value. The slope is -2.

Y-Intercept

There's another important value associated with graphing a line on the coordinate plane. It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero. This is another way to find the y-intercept, if you know the equation, the y-intercept is the solution to the equation when x = 0.

Equations

Knowing how to find the slope and the y-intercept helps us to graph a line when we know its equation, and also helps us to find the equation of a line when we have its graph. The equation of a line can always be written in this form, where m is the slope and b is the y-intercept:

y = mx + b

Let's find the equation for this line. Pick any two points, in this diagram, A = (1, 1) and B = (2, 3).

We found that the slope m for this line is 2. By looking at the graph, we can see that it intersects the y-axis at the point (0, –1), so –1 is the value of b, the y-intercept. Substituting these values into the equation formula, we get:

y = 2x –1

The line shows the solution to the equation: that is, it shows all the values that satisfy the equation. If we substitute the x and y values of a point on the line into the equation, you will get a true statement. We'll try it with the point (2, 3).

Let's substitute x = 2 and y = 3 into the equation. We get "3 = 3", a true statement, so this point satisfies the equation of the line.

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6 0
3 years ago
The base of an isosceles triangle is one and a half times the length of the other two sides.A smaller triangle has a perimeter t
Anna11 [10]

Answer:

Perimeter of the smaller triangle = 1.75x

Step-by-step explanation:

Let the two equal sides of an isosceles triangle = x

Therefore, length of the base = (1\frac{1}{2})x

Perimeter of this isosceles triangle = x + x + (1\frac{1}{2})x

                                                          = 2x + (1+\frac{1}{2})x

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

                                                          = \frac{5x}{2}

Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,

Length of each corresponding side of smaller triangle will be half of the larger triangle.

Length of sides of the smaller triangle = \frac{x}{2},\frac{x}{2},(1\frac{1}{2})\frac{x}{2}

Perimeter of the smaller triangle = \frac{x}{2}+\frac{x}{2}+(1\frac{1}{2})\frac{x}{2}

                                                      = x + \frac{x}{2}+\frac{x}{4}

                                                      = \frac{3}{2}x+\frac{x}{4}

                                                      = \frac{6}{4}x+\frac{x}{4}

                                                      = \frac{7}{4}x

                                                      = 1.75x

Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)        

4 0
2 years ago
Wrench sets designed for SI bolts often include wrenches at 1 mm increments while wrench sets designed for imperial bolts often
juin [17]
So 5/8 inches to milimeters
we know that 1 in=2.54 cm so
5/8 in times 2.54= 1.5875 cm
1 cm=10 mm
1.5875 cm times 10=15.875mm aprox 16 mm, but best to go smaller since it won't fit if bigger

answer: 16mm (my recomendation would be 15mm)
3 0
3 years ago
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