![\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}](https://tex.z-dn.net/?f=%5Cmathfrak%7B%5Chuge%7B%5Cpink%7B%5Cunderline%7B%5Cunderline%7BAnSwEr%3A-%7D%7D%7D%7D%7D)
Actually Welcome to the Concept of the Factors.
1.) x^2-3x-10 = (x-5) (x+2)
2.)x^2-3x-18 = (x-6) (x+3)
Answer:
Option d
Step-by-step explanation:
We need 2 fundamental data to solve this problem.
1.- Average number of clients attended in 1 hour.
2.- Time in which it is expected that a client will be attended.
They tell us that the average number of clients served in an hour is m = 8
They tell us to calculate the probability that the client will be seen in less than 15 minutes.
But the time t in the formula is given in hours.
Therefore we must write 15 minutes according to hours.
We know that
.
So:
.
Now we substitute in the formula
and
to find P.
![P = 1 -e^{-mt}\\\\P = 1- e^{-(8)(0.25)}\\\\P = 1 - e^{-2}\\\\P = 0.8646\\\\P= 86\%](https://tex.z-dn.net/?f=P%20%3D%201%20-e%5E%7B-mt%7D%5C%5C%5C%5CP%20%3D%201-%20e%5E%7B-%288%29%280.25%29%7D%5C%5C%5C%5CP%20%3D%201%20-%20e%5E%7B-2%7D%5C%5C%5C%5CP%20%3D%200.8646%5C%5C%5C%5CP%3D%2086%5C%25)
Given:
![\cos \angle A=\dfrac{342}{1000}](https://tex.z-dn.net/?f=%5Ccos%20%5Cangle%20A%3D%5Cdfrac%7B342%7D%7B1000%7D)
To find:
The measure of angle A to the nearest degree.
Solution:
We have,
![\cos \angle A=\dfrac{342}{1000}](https://tex.z-dn.net/?f=%5Ccos%20%5Cangle%20A%3D%5Cdfrac%7B342%7D%7B1000%7D)
It can be written as
![\angle A=\cos ^{-1}\dfrac{342}{1000}](https://tex.z-dn.net/?f=%5Cangle%20A%3D%5Ccos%20%5E%7B-1%7D%5Cdfrac%7B342%7D%7B1000%7D)
![\angle A=70.00123^\circ](https://tex.z-dn.net/?f=%5Cangle%20A%3D70.00123%5E%5Ccirc)
![\angle A=70^\circ](https://tex.z-dn.net/?f=%5Cangle%20A%3D70%5E%5Ccirc)
Therefore, the measure of angle A to the nearest degree is 70 degrees.
Answer:
Step-by-step explanation:
The shaded area is the difference of areas of the rectangle and the square.
<u>Rectangle:</u>
- A₁ = (x + 10)(2x + 5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50
<u>Square:</u>
- A₂ = (x + 1)² = x² + 2x + 1
<u>Shaded region:</u>
- A₁ - A₂ =
- 2x² + 25x + 50 - (x² + 2x + 1) =
- 2x² + 25x + 50 - x² - 2x - 1 =
- x² + 23x + 49
For question number 1, the correct answer would be the x coordinate would be the same, or will not change.
For question number 2, the correct answer would be (-4,-7)
For question number 3, the correct answer would be <span>A'(5, -3), B'(2, -1), C'(-2, -4)
For question number 4, the correct answer would be </span><span>R'(-3, 2), S'(-5, -2), T'(-6, 0)
If you have any questions, just ask. ;)</span>