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o-na [289]
3 years ago
8

Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)? Here are the options f(x) = –2/

3x – 11, f(x) = –2/3x – 1, f(x) = –2/3 + 3, f(x) = –2/3x + 13.
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
4 0

Answer:

The correct answer is: f(x) = –2/3x – 11

Step-by-step explanation:

We have to convert the line given in point slope form to a form which can be compared by the given options

So,

y+7=-2/3(x+6)

y=-\frac{2}{3}(x+6)\\ y+7=-\frac{2}{3}x+(6)(-\frac{2}{3}) \\ y+7=-\frac{2}{3}x-4\\y=-\frac{2}{3}x-4-7\\y=-\frac{2}{3}x-11

Therefore the correct answer is: f(x) = –2/3x –11 ..

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Jack's train arrived at the station at 8:30 in the evening. The train ride was 2 hours and 10 minutes.
Taya2010 [7]

Answer:

6:20 PM

Step-by-step explanation:

They got there at 8:30 PM, and 2 hours and 10 minutes prior would have been 6:20 PM.

6 0
3 years ago
What is the pressure difference Δp=pinside−poutside? Use 1.28 kg/m3 for the density of air. Treat the air as an ideal fluid obey
Sidana [21]

This is an incomplete question, here is a complete question.

A hurricane wind blows across a 7.00 m × 12.0 m flat roof at a speed of 150 km/h.

What is the pressure difference Δp = p(inside)-p(outside)? Use 1.28 kg/m³ for the density of air. Treat the air as an ideal fluid obeying Bernoulli's equation.

Answer : The pressure difference will be, 1.11\times 10^3Pa

Step-by-step explanation :

As we are given:

Speed = 150 km/h = 41.66 m/s

Density = \rho=1.28kg/m^3

Area = A = 7.00 m × 12.0 m

Formula used :

\Delta P=\frac{1}{2}\times \rho \times v^2

Now put all the given values in this formula, we get:

\Delta P=\frac{1}{2}\times (1.28kg/m^3)\times (41.66m/s)^2

\Delta P=1.11\times 10^3Pa

Thus, the pressure difference will be, 1.11\times 10^3Pa

7 0
4 years ago
How many positive integers less than 2018 are divisible by at least 3, 11, or 61?
Schach [20]
To find all the positive integers less than 2018 that are divisible by 3, 11, and 61, you will use what you know about factors.

3, 11, and 61 are all answers.  So are 33, 183, 671, and 2013.

If you put these in factors, the product will be divisible by them!

3 x 11 = 33
3 x 61 = 183
11 x 61 = 671
3 x 11 x 61 = 2013

Take each number and square it, cube it, etc...
9, 27, 81, 243, 729
121, 1331

9 x 11 = 99
27 x 11 = 297
81 x 11 = 891

121 x 9 =1089
121 x 3 =  363

61 x 9 = 549
61 x 27 = 1647

Everything in bold is a correct answer.
7 0
4 years ago
1.995 x 10 to the negative power of 23?
Lesechka [4]
199500000000000000000000
4 0
3 years ago
Brody deposited 8,001 in a savings account with simple interest. Four months later the account held 8,267.70. What is the intere
Travka [436]

Answer:

R = 0.8333%/month

(R = 9.9996%/year)

Equation:

r = (1/t)(A/P - 1)

Calculation:

Solving your equation:

r = (1/4)((8267.7/8001) - 1) = 0.00833333

r = 0.00833333

Converting r decimal to R a percentage

R = 0.00833333 * 100 = 0.8333%/month

Calculating the annual rate

0.8333%/month × 12 months/year = 9.9996%/year.

The interest rate required to get a total amount, principal plus interest, of $8,267.70 from simple interest on a principal of $8,001.00 over 0.333333 years (4 months) is 0.8333% per month.

8 0
3 years ago
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