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asambeis [7]
1 year ago
12

Write the standard form of the line that passes through the given points. (7, -3) and (4,-8)

Mathematics
1 answer:
Mama L [17]1 year ago
3 0

The line equation is given by

y=mx+b

where <em>m </em>is the slope and <em>b </em>is the interception with <em>Y-axis</em>

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Simplify -3p 3 + 5p + (-2p 2) + (-4) - 12p + 5 - (-8p 3).
MissTica

Answer:5p^3-2p^2-7p+1

Step-by-step explanation:

-3p^3+5p+(-2p^2)+(-4)-12p+5-(-8p^3)

open brackets

-3p^3+5p-2p^2-4-12p+5+8p^3

Collect like terms

-3p^3+8p^3-2p^2+5p-12p-4+5

5p^3-2p^2-7p+1

3 0
3 years ago
Identify the stem of the following number: 231. <br> A. 1 <br> B. 2 <br> C. 3 <br> D. 23
Kruka [31]
stem = 23
leaf = 1

Answer is choice D

The leaf is always a single digit because you can have multiple leaves without any separating mark. If you have something like "123" on the leaf column, then that means you have three leaves of 1, 2 and 3 which correspond to the same stem.
8 0
3 years ago
Gina puts $ 4500 into an account earning 7.5% interest compounded continuously. How long will it take for the amount in the acco
Elza [17]

~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5150\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years \end{cases}

5150=4500e^{0.075\cdot t} \implies \cfrac{5150}{4500}=e^{0.075t}\implies \cfrac{103}{90}=e^{0.075t} \\\\\\ \log_e\left( \cfrac{103}{90} \right)=\log_e(e^{0.075t})\implies \log_e\left( \cfrac{103}{90} \right)=0.075t \\\\\\ \ln\left( \cfrac{103}{90} \right)=0.075t\implies \cfrac{\ln\left( \frac{103}{90} \right)}{0.075}=t\implies\stackrel{\textit{about 1 year and 291 days}}{ 1.8\approx t}

4 0
2 years ago
WHat is the unit rate in terms of people per square mile when there are 646,449 people in 68.3 square miles?
Oliga [24]
If there are 646,449 people in 68.3 square miles. each square mile area has 9465 people.
8 0
3 years ago
Read 2 more answers
What is 82,119 rounded to the nearest ten thousand?
Stels [109]
80,000.
To round up to the nearest ten thousand, we would see if the next lower place value has a amount either 5 or higher or 4 or lower.
If it’s five or higher, we round up.
If it’s four or lower, we round down.
We can see that the number in the ten thousands place is 8. The number in the place value after 8 is 2.
2<5 so we round down.
The answer is 80,000.
Hope this helps!
8 0
3 years ago
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