Which theorem or postulate could be used to prove the congruence of the triangles?

William invested $5000 in an account that earns 3.8% interest, compounded annually. The formula for compound interest is A(t) =

Anestetic [448]

I think you have mistaken the formula.
I will do it this way.

Interest after 6 years: 1.038^6 × $5,000

Thus, amount after 6 years = $6,253.95

6 0

3 years ago

Read 2 more answers

I need the domain range and function. With an explanation

erastovalidia [21]

<h3>Answers:</h3>

Problem 1

Domain = $-3 < x \le 3$ , interval notation (-3, 3]
Range = $-3 \le y < 3$ , interval notation [-3, 3)
Is it a function? Yes

Problem 2

Domain = $x \ge -2$ , interval notation $[-2, \infty)$
Range = All real numbers, interval notation $(-\infty, \infty)$
Is it a function? No

Problem 3

Domain = $-4 \le x < 3$ , interval notation [-4, 3)
Range = $-4 < y \le 3$ , interval notation (-4, 3]
Is it a function? Yes

Problem 4

Domain = All real numbers, interval notation $(-\infty, \infty)$
Range = $y \le 4$ , interval notation $(-\infty, 4]$
Is it a function? Yes

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Explanations:

The left most point is when x = -3, and we are not including this value due to the open hole. The other endpoint is included because it is a filled in circle. The domain is therefore $-3 < x \le 3$ which in interval notation is (-3, 3]. We have the curved parenthesis meaning "exclude endpoint" and the square bracket says "include endpoint". The range is a similar story but we're looking at the smallest and largest y values. Though be careful about which endpoint is open/closed. We have a function because it passes the vertical line test.
The smallest x value is x = -2. There is no largest x value because the arrows say to go on forever to the right. We can say the domain is $x \ge -2$ which in interval notation is $[-2, \infty)$ . The range is $(-\infty, \infty)$ to indicate "all real numbers". This graph fails the vertical line test, so it is not a function. The vertical line test is where we check to see if we can pass a vertical line through more than one point on the curve. In this case, such a thing is possible which is why it fails the test.
This is the same idea as problem 1, though note the endpoints are flipped in terms of which has an open circle and which doesn't. It is not possible to draw a single vertical line to have it pass through more than one point on the curve, so it passes the vertical line test and we have a function.
This is a function because it passes the vertical line test. The domain is the set of all real numbers due to the arrows in both directions. Any x value is a possible input. The range is $y \le 4$ which is the same as saying $(-\infty, 4]$ in interval notation. This is because y = 4 is the largest y value possible. There is no smallest y value due to the arrows.

7 0

4 years ago

Can anyone help please?

katen-ka-za [31]

Answer:

A'(-3, 12)
B'(9, 6)
C'(-6, -6)

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor.

For dilation factor k, the new coordinates are ...

(x, y) ⇒ (kx, ky)

Your dilation factor is 3, so the transformation is ...

(x, y) ⇒ (3x, 3y)

A(-1, 4) ⇒ A'(-3, 12)

B(3, 2) ⇒ B'(9, 6)

C(-2, -2) ⇒ C'(-6, -6)

5 0

2 years ago

What is y+3=4(x-1) in Slope intercept form ?

mina [271]

Y+3=4(x-1)
Y+3=4x-4
-3 -3
Y=4x-7

3 0

3 years ago

In basketball some baskets were worth two points.others are worth 3 points.in one game the ratio of three point baskets to three

shepuryov [24]

9/12 so 12 triés because 9*3=27 so you then have to multiply 4*3*12

7 0

3 years ago