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prisoha [69]
3 years ago
7

Write the equation of the line in point-slope form given the line runs through the points (-1, -3) and (2, 3). ***rewrite in slo

pe-intercept form by solving for y!
Mathematics
1 answer:
Mama L [17]3 years ago
8 0
First, find the slope: m=[(3-(-3)]/[(2-(-1)]=2
point slope form: (y+3)=2(x+1) or (y-3)=2(x-2)

slope-intercept form: y+3=2(x+1) => y+3=2x+2 =>y=2x-1

answers are in bold.
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an item that cost $50 is marked 20% off. Sales tax for the item is 8%. What is the final price including tax? Solve the problem
kramer

Answer:

  $43.20

Step-by-step explanation:

The price with tax is 100% + 8% = 1.08 times the price before tax. The discount multplies that price by 100% -20% = 0.80. The discount multiplier is the same whether the discount is applied before or after the tax.

The combined effect of the two multipliers is ...

... 1.08 × 0.80 = 0.864

so the discounted price with tax added is 0.864 × $50 = $43.20

_____

Perhaps you're supposed to figure the tax (8% of $50 = $4), add the tax ($50 +4 = $54), then subtract the discount (20% of $54 = $10.80) to get

  $54.00 -10.80 = $43.20

6 0
3 years ago
How many solutions does 2(3x -4) = 3x -8+3x
never [62]

Answer:

no solutions

Step-by-step explanation:

6 0
3 years ago
Let f(x)=241+3e−1.3x . What is the point of maximum growth rate for the logistic function f(x) ? Round your answer to the neares
FromTheMoon [43]

Answer:

The point of maximum growth is at x=0.82

Step-by-step explanation:

Given a logistic function

f(x)=\frac{24}{1+e^{-1.3x}}

we have to find the point of maximum growth rate for the logistic function f(x).

From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at y=\frac{24}{2} i.e between 0 to 12

So, we can take y=\frac{24}{2} and then solve for x.

\frac{24}{2}=\frac{24}{1+e^{-1.3x}}

⇒ 2=1+3\exp{-1.3x}

⇒ 1=3.\exp{-1.3x} ⇒ \frac{1}{3}=\exp{-1.3x}

                             ⇒ log 3=-1.3x

                             ⇒ -0.4771=-1.3.x ⇒ x=0.82

Hence, the point of maximum growth is at x=0.82


5 0
4 years ago
Rachel is 2 miles northwest of her house. If she begins walking south at a rate of 3 miles per hour, which set of parametric equ
VikaD [51]
I think the answers is B
5 0
3 years ago
Employer A is offering you a position for $350000 per year l. Employer B is offering the same job for $18.00 per hour. Assuming
ss7ja [257]

Answer:

Depends

Step-by-step explanation:

In order to see which annual salary is higher, we must calculate the annual salary of B to compare to A. To do this, if B offers $18.00 an hour for 40 hours a week, that's $720 a week. Now to convert this to annual, multiply the weekly earnings by the 52 weeks in a year. Employer B offers $720 × 52 weeks = $37,440 annually. Assuming you didn't have a typo, $350,000 is $312,560 greater meaning A pays more. If you did have a typo, and meant that Employer A offered $35,000, then Employer B would pay more.

5 0
4 years ago
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