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2 years ago

What two consecutive whole numbers does the square root of 45 lie between answers?

Mathematics

1 answer:

cestrela7 [59]2 years ago

5 0

6²=36
7²=49
✓45 is between 6 and,,7

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Tran had 40.00 saved for a new bike. Four weeks later he had saved $68.00. At what rate of change did Tran’s savings grow?

AfilCa [17]

Tran aquired $28 over a whole week

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3 years ago

Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

Correct answer:

A. I and II

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

Correct answer:

A. I and II

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3 years ago

5.3.21

Flauer [41]

Answer:

y = -4x + 9

Step-by-step explanation:

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2 years ago

Find the degree of this polynomial? 13-4ab+5a^3b

Anastasy [175]

Let's take a peek of each term, to be specific, the exponent of the variables only, to see what degree each term is

$\bf 13-4ab+5a^3b\quad 
\begin{cases}
13\impliedby \textit{no variable, degree is 0}\\
4ab\to 4a^1b^1\impliedby \textit{1+1, degree is 2}\\
5a^3b\to 5a^3b^1\impliedby\textit{3+1, degree is 4}
\end{cases}$

so...which term has the highest degree? well, that one, is the degree of the polynomial

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2 years ago

Segment GH is shown on the graph.

andrey2020 [161]

The coordinates of the point that divides the segment into a 3:2 ratio is (-2.2, -1.2)

<h3>How to determine the coordinate?</h3>

The points are given as:

G = (-4,3)

H = (-1,-4)

Ratio, m : n = 3 : 2

The coordinate of the point is calculated using:

$(x,y) = \frac{1}{m + n} * (mx_2 + nx_1, my_2 + ny_1)$