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marishachu [46]
3 years ago
5

Which linear function includes the points (3,9) and (-2,-11)

Mathematics
2 answers:
Murrr4er [49]3 years ago
7 0
General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (3,9),\ (-2,-11)\ into\ equation\\\\ \left \{ {{9=3a+b}\ \ \ \ \atop {-11=-2a+b\ |*-1}} \right.\\\\ \left \{ {{9=3a+b}\ \ \ \ \atop {11=2a-b}} \right.\\+----\\\\Addition\ method\\\\20=5a\ \ |:5\\\\a=4\\ b=9-3a\\b=9-3*4=9-12=-3\\\\Answer\ y=4x-3

Charra [1.4K]3 years ago
3 0
(2,1) is the answer
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The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that
EleoNora [17]

Answer:

The correct estimate of the amount generated to the local economy is $3,333,333.\bar3

Step-by-step explanation:

The amount the expected to be generated for the local economy = $3.3 million

The amount of salaries that will generate $3.3 million = $1 million

The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%

Therefore, we have;

For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞

The sum of a geometric sequence to infinity is given as follows;

\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}

Substituting the known values gives;

\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k =  \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3

Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.\bar3.

5 0
2 years ago
$56,820 rounded to the nearest dollar
Alex_Xolod [135]
Well, if that is a comma in the number, it is already rounded. If the comma is supposed to be a decimal, the answer would be $57.
6 0
3 years ago
Two partners agree to invest equal amounts in their business. One will contribute​ $10,000 immediately. The other plans to contr
krek1111 [17]

Answer:

She should contribute $ 8369.38 ( approx )

Step-by-step explanation:

Let P be the amount invested by the other partner,

∵ The amount formula in compound interest,

A=P(1+\frac{r}{n})^{nt}

Where,

r = annual rate,

n = number of compounding periods in a year,

t = number of years,

Here, r = 9% = 0.09, n = 4 ( quarters in a year ), t = 2 years,

Then the amount after 2 years,

A = P(1+\frac{0.09}{4})^{8}

According to the question,

A = $ 10,000,

P(1+\frac{0.09}{4})^{8}= 10000

P(1+0.0225)^8 = 10000

\implies P = \frac{10000}{1.0225^8}\approx \$ 8369.38

6 0
3 years ago
How can you show the two objects are proportional.
8_murik_8 [283]
Their shape and size
7 0
2 years ago
Read 2 more answers
How do you simplify 220/1 x 5/2
Dafna11 [192]
The simplify answer is 550.
7 0
3 years ago
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