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djverab [1.8K]
3 years ago
11

Which ordered pairs lie on the graph of the exponential function f(x)=4(5)2x?

Mathematics
1 answer:
Katen [24]3 years ago
4 0
(-1, 4/25) and (2,2500)

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The figure below shows a straight line AB intersected by another straight line t:
BaLLatris [955]

When two straight lines intersect, the pairs of nonadjacent angles in opposite posi-tions are known as vertical angles.

If a segment AB is intersected by a transversal labeled t, then ∠1 and ∠3 and ∠2 and ∠4 are vertically angles formed by the transversal t on the segment AB.

Angles ∠1 and ∠2 can be described as adjacent and supplementary angles, so

m\angle 1+m\angle 2=180^{\circ}.

Angles ∠3 and ∠2 can be also described as adjacent and supplementary angles, so

m\angle 3+m\angle 2=180^{\circ}.

Subtract from the first equation the second equation:

m\angle 1+m\angle 2-(m\angle 3+m\angle 2)=180^{\circ}-180^{\circ},\\ m\angle 1-m\angle 3=0,\\ m\angle 1=m\angle 3.

Similarly you can prove that m\angle 2=m\angle 4.

4 0
3 years ago
How do I find the restrictions on x if there are any? <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%20-%201%7D%20%20%3
Natali5045456 [20]

We have the expression:

\frac{1}{x - 1}=\frac{5}{x - 10}

When we have rational functions, where the denominator is a function of x, we have a restriction for the domain for any value of x that makes the denominator equal to 0.

That is because if the denominator is 0, then we have a function f(x) that is a division by zero and is undefined.

If we have a value that makes f(x) to be undefined, then this value of x does not belong to the domain of f(x).

Expression:

\begin{gathered} \frac{1}{x-1}=\frac{5}{x-10} \\ \frac{x-1}{1}=\frac{x-10}{5} \\ x-1=\frac{x}{5}-\frac{10}{5} \\ x-1=\frac{1}{5}x-2 \\ x-\frac{1}{5}x=-2+1 \\ \frac{4}{5}x=-1 \\ x=-1\cdot\frac{5}{4} \\ x=-\frac{5}{4} \end{gathered}

Answer: There is no restriction for x in the expression.

6 0
1 year ago
Can you show how you did it?<br> 8.31 - 3.43 =
d1i1m1o1n [39]

Answer:

4.68

Step-by-step explanation:

Remember to line up the decimal point. Subtract as ordinarily.

8.31

-3.43

--------

4.68

4.68 is your answer

~

7 0
3 years ago
the figure below are squares. Find an expression for the area of each shaded region. Write your answer in standard form.
zheka24 [161]
(X+3)^2 -(X)^2
(X^2+6x+9) - X^2
6x+9

6 0
3 years ago
8. The product of 5, and 3 more than twice a number,<br> is 85. What is the number?
Zolol [24]

Answer:

Step-by-step explanation:

5(2x+3) = 85

10x + 15 = 85

x = (85 - 15)/10

x = 7

6 0
3 years ago
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