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Aleks [24]
3 years ago
8

19) Write the slope-intercept form of the equation of the line described by (-4,-5), parallel to y = -2x - 5.

Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Step-by-step explanation:

Since is it parallel to the given line, we can directly take the slope from the given equation.

m = -2 according to the given equation.

Next, use the point (-4,-5) to write the point-slope form first.

y-(-5) = -2(x-(-4))

Then use basic algebra to put it into slope-intercept form, which is y = mx + b.

y + 5 = -2x - 8

y = -2x - 13

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Solve the equation.<br> у+ 3 = -у +9<br> Оy = 1<br> Оy= 3<br> O y=6<br> Оy= 9
Triss [41]

Answer:

y = 3

Step-by-step explanation:

Solve for y:

y + 3 = 9 - y

Add y to both sides:

y + y + 3 = (y - y) + 9

y - y = 0:

y + y + 3 = 9

y + y = 2 y:

2 y + 3 = 9

Subtract 3 from both sides:

2 y + (3 - 3) = 9 - 3

3 - 3 = 0:

2 y = 9 - 3

9 - 3 = 6:

2 y = 6

Divide both sides of 2 y = 6 by 2:

(2 y)/2 = 6/2

2/2 = 1:

y = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer:  y = 3

5 0
4 years ago
Read 2 more answers
6.
larisa86 [58]

A. Every month Population will increase by a factor of 0.84%.

B.  Every 3 months Population will increase by a factor of 2.5%.

C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.

<u>Step-by-step explanation:</u>

Here, we have  number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as  x + \frac{x}{100}\times10 which is equivalent to \frac{11x}{10}.

<u>A.</u>

For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like \frac{10}{12}  = 0.84 . ∴ Every month Population will increase by a factor of 0.84%.

<u>B.</u>

In every 3 months: We have , 12 months in a year , in order to check for every 3 months  \frac{12}{3} = 4 and Now, Population increase in every 3 months is \frac{10}{4}  = 2.5.  ∴ Every 3 months Population will increase by a factor of 2.5%.

<u>C.</u>

In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.

So , increase in population in every 20 months is 10% + 6.72% = 16.72%.

5 0
4 years ago
Velida invested $3500 in a savings account with a yearly interest rate of 5% for 6 years. How much simple interest did she earn?
Doss [256]
I = PRT
I = 3500(0.05)(6)
I = $1050
4 0
4 years ago
Please help I am on a times test​
Damm [24]

Answer:

3125

Step-by-step explanation:

12.5x25x10

312.5x10

3125cm

so your answer will be D

5 0
3 years ago
Which of the following expresses the distance between the medians as a multiple of the greater interquartile range?
Annette [7]

Answer:

In fact, the distance between the means is or 3.2 kg, over 6 times the larger ... Visually, this means the range of typical values does not overlap.

Step-by-step explanation:

In fact, the distance between the means is or 3.2 kg, over 6 times the larger ... Visually, this means the range of typical values does not overlap.

3 0
3 years ago
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