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algol [13]
2 years ago
5

Im awful at determinant! help

Mathematics
1 answer:
Ahat [919]2 years ago
3 0
B is the answer trust me

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What is the equation of the line that passes through the points (-3,5) (6,8)
Ratling [72]

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-3)}}}\implies \cfrac{3}{6+3}\implies \cfrac{3}{9}\implies \cfrac{1}{3}

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5=\cfrac{1}{3}(x+3)\implies y-5=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+6

6 0
2 years ago
A virus that initially infected four people is spreading at a rate of 15% each week.
Solnce55 [7]

Answer:

"f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily"

Step-by-step explanation:

<u>Complete Question:</u>

A virus that initially infected four people is spreading at a rate of 15% each week. The following function represents the weekly spread of the virus: f(x) = 4(1.15)x. Rewrite the function to show how quickly the virus spreads each day and calculate this rate as a percentage.

f(x) = 4(1.15)7x; spreads at a rate of approximately 1.5% daily

f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily

f(x) = 4(1.157)x; spreads at a rate of approximately 2.66% daily

f(x) = 4(1.02)x; spreads at a rate of approximately 0.2% daily

<u>Solution:</u>

The weekly number of people infected would be:

f(x)=4(1.15)^x

7 days in a week, so daily number of people infected would be:

f(x)=4(1+r)^{7x}

To find daily rate, we set these 2 equations equal and solve for r:

4(1.15)^x=4(1+r)^{7x}\\1.15^x=(1+r)^{7x}\\1.15^x=((1+r)^7)^x\\1+r=1.02\\r=1-1.02=0.02

That is 0.02*100 = 2% daily

2nd answer choice is right.

8 0
2 years ago
How many solutions does the equation −4y + 4y + 2 = 2 have? Two None One Infinitely many
kirill [66]

Answer:

hello : Infinitey

Step-by-step explanation:

−4y + 4y + 2 = 2

2 = 2    ... right

so :  Infinitey solutions

6 0
2 years ago
Read 2 more answers
A runner runs 8 miles in 92 minutes. What is the unit rate show work
Anna007 [38]
92/8= 11.5mins / 1mile
3 0
3 years ago
What is the value of f(x) = 3x -12 for anx = 9
pshichka [43]

Answer:

15

Step-by-step explanation:

f(x) = 3x -12 for x = 9

f(9) = 3(9) -12

27-12

15

6 0
2 years ago
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