Factor 4t + 2rt + 8st completely. A) t(2 + r + 4s) B) t(4 + 2r + 8s) C) 2t(2 + r + 4s) D) 2(t + rt + 4st)

Find the inverse of the function.<br> y=x2 + 4x + 4

adoni [48]

Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)

y = x² + 4x + 4 ⇒⇒⇒ factor the quadratic equation

y = (x+2)(x+2)

y = (x+2)² ⇒⇒⇒ take the square root to both sides

√y = x+2

x = √y - 2 ⇒⇒⇒ x becomes a function of y

final step:

∴ y = √x - 2 ⇒⇒⇒ the inverse of the given function

So, as a conclusion:

f(x) = y = x² + 4x + 4 ⇒⇒⇒ the given function

f⁻¹(x) = y = √x - 2 ⇒⇒⇒ the inverse of the given function

7 0

3 years ago

Find the value of x in the isosceles triangle shown below. WILL MARK BRAINLIEST 18 POINTS!

julsineya [31]

Answer:

ur answer

and thank u for following me

4 0

3 years ago

Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.

Georgia [21]

Correct Ans:
Option A. 0.0100

Solution:
We are to find the probability that the class average for 10 selected classes is greater than 90. This involves the utilization of standard normal distribution.

First step will be to convert the given score into z score for given mean, standard deviation and sample size and then use that z score to find the said probability. So converting the value to z score:

$z-score= \frac{90-83.6}{ \frac{8.7}{ \sqrt{10} } } \\ \\ 
z-score =2.326$

So, 90 converted to z score for given data is 2.326. Now using the z-table we are to find the probability of z score to be greater than 2.326. The probability comes out to be 0.01.

Therefore, there is a 0.01 probability of the class average to be greater than 90 for the 10 classes.

5 0

3 years ago

Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative invers

monitta

Answer:

See Explanation

Step-by-step explanation:

a) Additive inverse of −2

the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.
So the Additive inverse of -2 is 2. ∴ -2+2=0

b) Additive identity of −5

Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number.
-5 + 0 = -5. Therefore, 0 is the additive identity of any real number.

c) additive inverse of 3

Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.

d). multiplicative identity of 19

an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied
Multiplicative identity if 19 is 1 only, since 19 x 1 = 19.

e) multiplicative inverse of 7

Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.

d) | 11-5|×|1-5|

| 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24

8 0

3 years ago

What is the equation of the line that is perpendicular to y =

Olin [163]

Answer:

8989

Step-by-step explanation:

4 0

3 years ago