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LenKa [72]
3 years ago
11

A number n plus 7 is less than or equal to 9

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0
We need to change the English writing into an inequality.
We know that a number "n" added to 7 is less than or equal to 9.
This can be written as follows:
n + 7 <span>≤ 9

Now, we will isolate the "n" at one side of the inequality. We will do this by subtracting 7 from both side as follows:
n + 7 - 7 </span><span>≤ 9 - 7
n </span><span>≤ 2</span>
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The diagonals of rhombus team intersect at p(2,1). if the equation of the line that contains diagonal (ta) is y = −x + 3, what i
notka56 [123]
The perpendicular line through (2, 1) is
.. y = (x -2)+1
or
.. y = x -1

6 0
3 years ago
Reduce the following fraction: . -32abc/64 a to the 2nd power bc to the 3rd power
Ksenya-84 [330]
-1/2ac^2 flip to make it positive which makes it a whole number = 2ac^2
5 0
3 years ago
Se compra un auto nuevo por 17900 dólares.El valor del automóvil se deprecia en 12.25% por año.¿cual será el valor del automóvil
jeyben [28]

17,900 x 0.1296 = 2318.05

2318.05 should be subtracted from 17,900 and it should be somewhere around 15,581.95

4 0
3 years ago
I need help on these question ASAP!!!! This is Urgent
GarryVolchara [31]

Part 1: The equation of the line is y=2x+1

Part 2: The equation of the line in slope intercept form is y=-3x-1

Explanation:

Part 1: It is given that the point A is (1,3) and the line B is y=2 x-2

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is m=2

Substituting the point (1,3) and m=2 in slope intercept form y=mx+b, we have,

3=2(1)+b

3=2+b

1=b

Thus, the y-intercept is b=1

Let us substitute the values m=2 and b=1 in the slope intercept form y=mx+b, we get,

y=2x+1

Thus, the equation of the line passing though point A and parallel to line B is y=2x+1

Part 2: The given two coordinates are (-1,2) and (1,-4)

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is b=-1

The formula for slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting the coordinates (-1,2) and (1,-4), we have,

m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3

Thus, the slope is m=-3

Substituting the values b=-1 and m=-3 in the slope intercept formula y=mx+b, we get,

y=-3x-1

Thus, the equation of the line in slope intercept form is y=-3x-1

4 0
3 years ago
⦁ The population of the Tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rate of 2.78%. Using the expo
a_sh-v [17]

Answer:

The exponential growth model for the population of the Tallahassee metropolitan area is y=382627(1.0278)^t.

Step-by-step explanation:

The exponential formula is

y=b(1+r)^t

Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.

The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.

Here the initial year is 2017 and rate is 0.0278

y=382627(1+0.0278)^t

y=382627(1.0278)^t

Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.

Difference between 2025 and 2017 is 8 years. Put t=8

y=382627(1.0278)^8

y=382627(1.0278)^8

y=476479.828188\approx 476479

Therefore the projected population in 2025 is 476479.

7 0
3 years ago
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