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2 years ago

A number is 4 times another number. Their sum is 30.

Mathematics

1 answer:

Gnom [1K]2 years ago

7 0

Answer:

24 and 6 are the 2 numbers

Step-by-step explanation:

let the 2 numbers be x and y , then

x + y = 30 → (1)

y = 4x → (2) [ one number is 4 times the other ]

Substitute y = 4x into (1)

x + 4x = 30

5x = 30 ( divide both sides by 5 )

x = 6

Substitute x = 6 into (2)

y = 4 × 6 = 24

The 2 numbers are 24 and 6

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If a circle has a diameter of 91 units how many units is the radius

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Rewrite the following equation as a function of x

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Step-by-step explanation:

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2 years ago

Translate the following sentence into an algebraic inequality: Three times a number, v, added to eight is greater than or equal

Kazeer [188]

Hi there!

»»————-　★　————-««

I believe your answer is:

$3v + 8 \geq 22$

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

$\boxed{\text{Breaking down the phrase...}}\\\\\text{Three times a number, v, added to eight is greater than or equal to twenty-two. }\\------------------\\\rightarrow \text{"Three times a number, v..."} - 3v \text{ This expresses the product of '3' and 'v'.}\\\\\rightarrow \text{"added to eight..."} - + 8 \text{ The product gets added to eight.}\\\\--------------\\\text{The First Part Is:}}\\\\3v + 8\\---------------\\\rightarrow \text{is greater than or equal to twenty-two. } - \geq 22$

$\text{The value of '3v + 8' is greater than or equal to 22.}\\---------------\\\text{\underline{Putting it together, we would have:}}\\\\\boxed{3v + 8 \geq 22}}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

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3 years ago

The function f(x)=2^x and g(x)=f(x+k). If k=-5,what can be concluded about the graph of g(x)?

melamori03 [73]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)= A( Bx+ C)+ D
\\\\
~~~~y= A( Bx+ C)+ D
\\\\
f(x)= A\sqrt{ Bx+ C}+ D
\\\\
f(x)= A(\mathbb{R})^{ Bx+ C}+ D
\\\\
f(x)= A sin\left( B x+ C \right)+ D
\\\\
--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\
\bullet \textit{ flips it upside-down if } A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if } B\textit{ is negative}\\
~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{ C}{ B}\\
~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}$

$\bf ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by } D\\
~~~~~~if\ D\textit{ is negative, downwards}\\\\
~~~~~~if\ D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{ B}$

with that template in mind

$\bf f(x)=2^x\qquad 
\begin{cases}
g(x)=f(x+k)&k=5\\
\qquad\quad f(x+5)\\
\qquad \quad 2^{x+5}
\end{cases}$

notice, in g(x)

B = 1, no change from parent

C= +2

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3 years ago

Read 2 more answers

A number is 4 times another number. Their sum is 30.​

A number is 4 times another number. Their sum is 30.