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poizon [28]
3 years ago
12

I cant figure out what the answer is

Mathematics
2 answers:
Likurg_2 [28]3 years ago
6 0
The correct answer would be letter A
Black_prince [1.1K]3 years ago
3 0
A is the answer hope this helps!
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Write equation of the line containing (4,2) and (3,5)<br> in slope-intercept form.
11Alexandr11 [23.1K]

Answer:

The equation of the line containing (4,2) and (3,5)  in the slope-intercept form will be:

  • y=-3x+14

Step-by-step explanation:

Given the points

  • (4, 2)
  • (3, 5)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(4,\:2\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

m=\frac{5-2}{3-4}

m=-3

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m=-3 and the point (4, 2) to get the y-intercept i.e. b

y=mx+b

2=(-3)4 + b

2 = -12 + b

b = 2+12

b = 14

Now, substituting b=14 and m=-3 in the slope-intercept form to determine the equation of a line in the slope-intercept.

y=mx+b

y=(-3)x+(14)

y=-3x+14

Thus, the equation of the line containing (4,2) and (3,5)  in the slope-intercept form will be:

  • y=-3x+14

6 0
4 years ago
Data from an independent research company found that the annual cost per worker for insurance​ (health, life,​ liability, etc.)
lesantik [10]

Answer:

The cost per worker goes in five years from $67.81 at 1997, to $394.14 in 2001. It is an increase of $326.33 (481%).

f(0)=67.81e^{0.44\cdot 0}=67.81*1=67.81\\\\f(1)=67.81e^{0.44\cdot1}=67.81*1.553=105.29\\\\f(2)=67.81e^{0.44\cdot2}=67.81*2.411=163.48\\\\f(3)=67.81e^{0.44\cdot3}=67.81*3.743=253.84\\\\f(4)=67.81e^{0.44\cdot4}=67.81*5.812=394.14\\\\

Step-by-step explanation:

The annual cost per worker is modeled by the function:

f(x)=67.81e^{0.44\cdot x}

where x = years from 1997.

We have to calculate the cost per worker from 1997 to 2001, according to the function f(x).

We have:

f(0)=67.81e^{0.44\cdot 0}=67.81*1=67.81\\\\f(1)=67.81e^{0.44\cdot1}=67.81*1.553=105.29\\\\f(2)=67.81e^{0.44\cdot2}=67.81*2.411=163.48\\\\f(3)=67.81e^{0.44\cdot3}=67.81*3.743=253.84\\\\f(4)=67.81e^{0.44\cdot4}=67.81*5.812=394.14\\\\

The cost per worker goes in five years from $67.81 at 1997, to $394.14 in 2001. It is an increase of $326.33 (481%).

5 0
3 years ago
6th grade math plz help?
Sergeu [11.5K]

Answer:

about 83%

Why:

1/3 + 1/2 = 0.83333333333

0.83333333333 as a percentage is 83.333333333%

8 0
3 years ago
Read 2 more answers
Which expression can be used to determine the length of segment ZY?
katrin2010 [14]

As we move from point Z to point Y, x increases by 8 and y increases by 3.  Thus the length of line segment ZY is sqrt(8^2 + 3^2) = sqrt(73), by the Pythagorean Theorem.  That's approx. 8.54.

You could also leave your answer in the form √(8^2 + 3^2).

7 0
3 years ago
Read 2 more answers
Write four different equations that have –3 as the solution.
vodomira [7]
1 + -4

2 + -5

3 + -6

4 + -7
8 0
3 years ago
Read 2 more answers
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