<img src="https://tex.z-dn.net/?f=5x%5E%7B2%7D%20%2B%20x-7%3D" id="TexFormula1" title="5x^{2} + x-7=" alt="5x^{2} + x-7=" align=

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Zielflug [23.3K]

3 years ago

"absmiddle" class="latex-formula">

Mathematics

1 answer:

zysi [14]3 years ago

7 0

Equation: $5x^2+x-7$

Since there aren't any like terms and it can't be factored, your answer would be:

$5x^2+x-7$

Hope this answer helped you!

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harkovskaia [24]

Answer:

What do you need help with, comment

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3 years ago

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Dennis_Churaev [7]

-7.5x = -5.61 - 0.39

x = -6 /-7.5

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3 years ago

A particular isotope has a half-life of 74 days. If you start with 1 kilogram of this isotope, how much will remain after 150

shtirl [24]

$\bf \stackrel{150~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &150\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{150}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{75}{37}}\implies \boxed{A\approx 0.24536}$

$\bf \stackrel{300~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &300\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{300}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{150}{37}}\implies \boxed{A\approx 0.060202}$

6 0

3 years ago

Factor the expression completely. 63x – 9

liraira [26]

Answer:

The answer is 9(7x – 1).

Step-by-step explanation:

63x – 9

3 × 3 × 7 × x – 3 × 3

9(7x – 1)

Thus, The answer is 9(7x – 1).

-TheUnknownScientist 72

4 0

3 years ago

80 people were asked which was their favourite animal.

Alex787 [66]

Answer:

(a)Cat

(b)8 animals

Step-by-step explanation:

From the attached diagram:

Let the $\square$ be x.

Half of $\square$ =x/2

From the pictogram, we then have:

$Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x$

Therefore:

$x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8$

So we have the following numbers

$Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24$

(a)Cat was the least popular

(b) $\square$ represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred giraffes than dogs.

7 0

3 years ago