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2 years ago

7

The variable, y, varies directly with x. if y = 20 when x = 25, what is y when x = 43? Also please explain so I can understand t

his on my own.

1 answer:

Gwar [14]2 years ago

4 0

Answer:

25

Step-by-step explanation:

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Write an equation that has a graph with the shape of y = x^2, but shifted left 3 units.

svetoff [14.1K]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf % template detailing
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\$

$\bf \bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

now, with that template in mind, let's see

$\bf y=x^2\implies 
\begin{array}{llll}
y=(&1x&-0)^2\\
&B&C
\end{array}$

so, just change C to +3, thus C/B is 3/1

6 0

3 years ago

Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. what is the probabi

olasank [31]

To solve for the P(54,000≤x≤66000) we proceed as follows:
z-score=(x-μ)/σ
μ-60000
σ-4000
thus:
when x=66,000
z-score=(66000-60000)/4000=1.5
P(z≤1.5)=0.9332
when x=54000
z=(54000-60000)/4000
z=-1.5
P(z≤-1.5)=0.0668
thus
P(54,000≤x≤66000)
=P(z≤1.5)-P(z≤-1.5)
=0.9332-0.0668
=0.8664

Answer: 0.8664

8 0

3 years ago

A farmer feeds her 4 horses 2 bales of hay. How many bales of hay would the farmer need in order to feed 20 horses?

xxMikexx [17]

Answer: 40 bales of hay

Step-by-step explanation:

5 0

3 years ago

How do you write the algebraic notation when the scale factor is 1/2?

PIT_PIT [208]

Answer:

(x,y) = (.5x,5y)

Step-by-step explanation:

7 0

3 years ago

how would you change the sentence into a true statement? some irrational numbers are also rational numbers..... A. All irrationa

Fynjy0 [20]

Irrational numbers cannot be classified as rational numbers. - EXPLANATION - both are different completely, according to as I think, and thus they cannot be inter-related. Irrational like - root2, root3, and all those that cannot be further solved completely. Their decimal representation is neither recurring nor ending e.g. 1.101001000100001000001.... and so on while rational number are consisting of whole numbers, integers, natural numbers, and all the constants and their decimal representation can be non ending but recurring.

5. d. Irrational numbers cannot be classified as rational numbers. - EXPLANATION - out of the options this one's correct. As I above said, all numbers as far as I know can be categorized into unreal and real numbers out of which real numbers consist of irrational and rational numbers while unreal numbers, I don't know as I have not been taught about them yet and neither do you have been, as I think so. All I know is that, as far as I have been taught, unreal number are not connected to real numbers.

6. Every real number is a rational number. - EXPLANATION - As I told you above, real numbers can also be irrational so this is false.

Hope this helps!

8 0

3 years ago

Read 2 more answers