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Arisa [49]
2 years ago
7

Help me with this please and thank you!! :)

Mathematics
1 answer:
Ann [662]2 years ago
7 0

Answer:

Step-by-step explanation:

  • A \cap C denotes the set of elements in both A and C, which is \{20, 24, 28\}.
  • B^{C} denotes the complement of set B, which is the set of all elements that are in the universal set that are not in set B. In this case, this set is \{3, 4, 5, 6, 8, 11, 13, 16, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28\}
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How are y-intercepts of y=(1/3)^x and y=5(1/3)^x different?
loris [4]
Remark.
The easiest way to do this question is to graph it. Start with that.
The red line is y = (1/3)^x
The blue line is y = 5*(1/3)^x

Comment
The red line's y intercept is (0,1)
The blue line's y intercept is (0,5)

Why
If the x value is 0 then (1/3)^0 = 1
y = (1/3)^0 = 1 * 1 = 1 and for the blue graph
y =  5*(1/3)^0 = 5*1 = 5

In other words, in this set of equations, the 5 makes the y intercept 5 times larger than the 1 in front of y = (1/3)^x

If you have choices, could you please list them? I may be giving you the right answer but not in the form required.

7 0
3 years ago
Read 2 more answers
Find the distance CD rounded to the nearest tenth<br> C=(10,-1) and D=(-6,3)
Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

point C can be info set 1: (10, -1)    x₁ = 10   y₁ = -1

point D can be info set 2: (-6, 3)    x₂ = -6  y₂ = 3

Substitute the information into the formula

L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }    Simplify inside each bracket

CD = \sqrt{(-16)^{2}+(4)^{2} }    Square the numbers

CD = \sqrt{256+16 }     Add inside the root

CD = \sqrt{272}    Enter into calculator

CD = 16.5  Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

4 0
4 years ago
F(x) = -x² - 7x - 5<br>Find f(-5)​
irga5000 [103]

Answer:

5

Step-by-step explanation:

f(-5)=-(-5)^2 - 7(-5) - 5

f(-5)= -25 +35 - 5

f(-5) = -25 +30

f(-5) = 5

7 0
3 years ago
Read 2 more answers
Simplify the expression. Write your answer as a power.<br> <img src="https://tex.z-dn.net/?f=%285%5E%7B4%7D%20%29%5E%7B3%7D" id=
Charra [1.4K]

Answer:

5^{12}

Step-by-step explanation:

Lets say there's a number 'x' and there's an expression (x^a)^b where 'a' & 'b' are also numbers , <u>the simplified form of the expression is </u>x^{a \times b}<u>.</u>

So ,

(5^4)^3 = 5^{4 \times 3} = 5^{12}

6 0
3 years ago
What multiplys to -10.9375 and adds up to 2.5?
fgiga [73]
I hope this helps you

3 0
3 years ago
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