MATHEMATICS COLLEGE

Two numbers, if the first one increases by 1, and the second one decreases by 1, then their product increases by 2020. If the first number decreases by 1, and the second one increases by 1, what value does the product decrease?

Answers

Answer 1
Answer:

Answer:

The product decreases 2022.

Step-by-step explanation:

(x + 1)(y - 1) = xy + 2020

xy - x + y - 1 = xy + 2020

-x + y = 2021

(x - 1)(y + 1) = xy + x - y - 1

  + 2021   =       -x + y

----------------------------------

(x - 1)(y + 1) + 2021 = xy - 1

(x - 1)(y + 1) = xy - 2022

The product decreases 2022.

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A mountain bike costs $675. If the sales tax is 8%, find the total cost of the bike. Round to the nearest cent, ifnecessary

Answers

Answer:

  $729.00

Step-by-step explanation:

The tax is ...

  0.08 × $675 = $54.00

So, the total cost of the bike is ...

  $675 +54 = $729.00

Is the red line a radius or diameter of the circle

Answers

The diameter of the circle would be a line going through the center of the circle connecting to both sides.

The radius of a circle would be a line only going to the the center, or in other words, half the circle.

I hope this makes sense!

The following EXCEL tables are obtained when "Score received on an exam (measured in percentage points)" (Y) is regressed on "percentage attendance" (X) for 22 students in a Statistics for Business and Economics course. Regression Statistics Multiple R 0.142620229 R Square 0.02034053 Standard Error 20.25979924 Observations 22 Coefficients Standard Error T Stat P-value Intercept 39.39027309 37.24347659 1.057642216 0.302826622 Attendance 0.340583573 0.52852452 0.644404489 0.526635689 What is the predicted value received on an exam when Percentage Attendance = 70 a. Approximately 63
b. Approximately 2758
c. Approximately 40
d. Approximately 70

Answers

The predicted value received on the exam when the percentage attendance is 70 is ( a. Approximately 63).

To find the predicted value of the exam score when the percentage attendance is 70, to use the regression equation provided:

Y = Intercept + Attendance × X

From the regression statistics that the intercept (Intercept) is 39.39027309 and the coefficient for percentage attendance (Attendance) is 0.340583573.

Substituting the values into the equation:

Predicted value = 39.39027309 + 0.340583573 × 70

Calculating:

Predicted value ≈ 39.39027309 + 23.84485711

Predicted value ≈ 63.2351302

To know more about value here

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Answer:

c

Step-by-step explanation:

hope this helps hœ

Find the equation of the polynomial function graphed below.A) f(x) = x3 − 3x2 − 6x + 8

B) f(x) = 8x3 − 24x2 − 48x + 64

C) f(x) = x3 + 3x2 − 6x − 8

D) f(x) = 8x3 + 24x2 − 48x − 64

Answers

Answer:

See image

Step-by-step explanation:

Check out the y-intercepts for these equations and look at the y-intercept on the graph. The y-intercept is the point where x=0. So it's mental math you can do in a couple of seconds per equation. If x=0 all the x terms are zero and the y-intercept is just the constant at the end if the equation. I put a note on the graph and the answer choices. The constant is the y-intercept. Only one choice matches. See images.
A) f(x) = x3 − 3x2 − 6x + 8

Graph the line that contains the point (-3,1) with a slope of 2/3

Answers

Answer:

The graph of the line that contains the point (-3,1) with a slope of 2/3.

Step-by-step explanation:

As the line contains the point (-3, 1) with a slop 2/3

Given the slop-intercept form of the line equation

y = mx+b

Here,

  • m = slope
  • b = y-intercept

Substituting the values in the slop-intercept form of the line equation

y = mx+b

1 = (2)/(3) (-3) + b

1 =- 2 + b

switching sides

-2+b=1

b=3

Now Substituting the value of b=3 in the slop-intercept form of the line equation

y = mx+b

y=(2)/(3) x+3

Hence, the line of the equation will be:  y=(2)/(3) x+3

Therefore, the graph of the line that contains the point (-3,1) with a slope of 2/3.

two angles are supplementary. One of the angles has a measure of 60 degrees. What is the measure of the other angle?

Answers

Supplementary means the two angles add up to 180 degrees.
If one of them measures 60 degrees, then the other would be
180-60=120 degrees.

Answer:

120°

Step-by-step explanation:
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