Answer:
a. 13
Step-by-step explanation:
x - youngest sister
x + 1 - middle sister
x + 1 + 1 - oldest sister
x + x + 1 + x + 1 + 1 = 39
3x + 3 = 39
3x = 36
x = 12
x+ 1 = 12 + 1 = 13
Answer:
inequality: 24 + x ≤ 64. x = 40
Step-by-step explanation:
8 cups = 64 ounces
Larry needs to drink 40 more ounces because 64 - 24 = 40
Answer:
Check below, please
Step-by-step explanation:
Hello!
1) In the Newton Method, we'll stop our approximations till the value gets repeated. Like this
2) Looking at the graph, let's pick -1.2 and 3.2 as our approximations since it is a quadratic function. Passing through theses points -1.2 and 3.2 there are tangent lines that can be traced, which are the starting point to get to the roots.
We can rewrite it as:
As for
3) Rewriting and calculating its derivative. Remember to do it, in radians.
For the second root, let's try -1.5
For x=-3.9, last root.
5) In this case, let's make a little adjustment on the Newton formula to find critical numbers. Remember their relation with 1st and 2nd derivatives.
For -1.2
For x=0.4
and for x=-0.4
These roots (in bold) are the critical numbers
Answer:
y = -1/2x + 4
Step-by-step explanation:
First, perpendicular lines’ slopes are negative reciprocals. Since the line slope is 2, the perpendicular line is -1/2.
Now whether or not the line passes thru (2,3) is up to the intercept.
Now to find b or intercept
Use y = mx + b to find b
Y = 3 because it’s y in the point.
M is -1/2
X is -2
3 = -1/2(-2) + b
B = 3 + -1/2(-2)
b = 3 + 1
b = 4
The intercept is 4
Therefore the equation is:
y = -1/2x + 4
Answer:
Option B is correct.
Miguel should study for the Science quiz as he will do worse in that quiz by guessing.
Step-by-step explanation:
Miguel has to take two quizzes
1) 4 true or false questions on History with a 0.5 chance of acing the quiz
Expected number of correct questions = np
n = number of questions
p = probability of acing the test
Expected number of correct questions = 4 × 0.5 = 2
2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.
Expected number of correct questions = 0.2 × 3 = 0.6
It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.
Hope this Helps!!!