By "state the universe" I suppose you mean "domain". log₂(x ² + 3x + 2) is defined for
x ² + 3x + 2 = (x + 1) (x + 2) > 0 → x < -2 or x > -1
(To solve the inequality, consider values of x between the ones that make the expression exactly equal to 0, in this case x = -2 and x = -1. We have, for instance, for x = -3, that (-3)² + 3(-3) + 2 = 2 > 0, so x ² + 3x + 2 > 0 for all x < -2.)
Now solve the equation: Write both sides as powers of 2 to eliminate the logarithm on the left:
[tex]\log_2(x^2+3x+2)=1\implies 2^{\log_2(x^2+3x+2)}=2^1\implies x^2+3x+2=2[/tex]
Solve the remaining quadratic:
x ² + 3x + 2 = 2
x ² + 3x = 0
x (x + 3) = 0
x = 0 or x = -3
Both of these solutions are within the presribed domain (-3 < -2 and 0 > -1), so we're done.
Helpp me please im lost
1. Look at the following correlation scatter plot. What type of a correlation is it?
a. Negative correlation
b. Positive correlation
c. Zero correlation
d. All of the above
Scatter plot is missing, so i have attached it.
Answer:
C : zero correlation
Step-by-step explanation:
A correlation is said to be negative between two variables when they are related in such a manner that when one variable increases, the other variable decreases and vice versa.
However, a correlation is said to be Positive when one variable increases as the other increases as well and vice versa which means they both move in the same direction.
However, in the image of the scatter plot attached, we see that it is neither positive or negative correlation as there is no clear visible relationship between the variables on the x and y axis.
Thus, we can say there is zero correlation.
ASAP PLEASE HELP ME :(((
Answer:
59/500 * x/75000
500x = 4425000
x = 8850
Answer:
Step-by-step explanation:
Is c 9/10 ? I’m probably wrong
I’m a little confused please help
What is this please anyone
I need help with prime factors
Answer: the answer is 8 and 3
Step-by-step explanation:
factors are numbers that can be multipiled together to find a whole number. since 8 and 3 are being multiplied together to get 24, 8 and 3 are factors of 24.
I hope this helps ! good luck
Is this right? Will mark branliest for the correct answer
Answer:
No
Step-by-step explanation:
Determine the are of the triangle
Answer:
25m
Step-by-step explanation:
The unit not to be used to find the triangle area is 25 because it is the hypotenuse and to find the area of a triangle you only need base and height. The base would be 24.6 and the height would be 7.3, which would both be needed in the equation.
-3x - 5 = 16
x=???
[need to right more because my question is too short stuff in brackets is irrelevant]
A weather station on the top of a mountain reports that the temperature is currently 0 and has been falling at a constant rate of 3 degrees per hour. Find each temperature. What was the temperature: 1 hour ago? degrees 3 hours ago? degrees
Answer:
Because I SAVAGE
GK IT"S WRONG AHAHHAHHAHA
Brianna has 6 bags of soil. Filling one flowerpot requires 1/3 of a bag of soil. How many flowerpots can be filled with these 6 bags?
A.1/2
B.2
C.18
D.24
Help I suck at math 0-0
Answer:
C. 18
Step-by-step explanation:
Inverse of 1/3 = 3
3 x 6 = 18
18 flowerpots can be filled with these 6 bags.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
Brianna has 6 bags of soil.
Filling one flowerpot requires 1/3 of a bag of soil.
So, the number of flowerpots filled using 6 bags
= 6 / (1/3)
= 6 x 3
= 18 pots
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ5
Caroline owns 3 fewer T shirts than chase. Let k Represent the number of chase’s T shirt. What expression can be used? A. 3k B. 3-k C. K+3
D. K-3 Real quick please!
Answer:
D
Step-by-step explanation:
Hope this helps
In triangle ABC, the sum of the measures of angle A and angle B is 57°. What is the measure of and C?
Answer:
I think it's 123 if not sorry
Step-by-step explanation:
all you need to do is 180 - 57 to get your answer
Drag each number to the correct location in the image. Each number can be used more than once, but not all numbers will be used. consider the equation below.
Answer:
Step-by-step explanation:
pls help w fractions math question
Answer:
2 5/6 is greater so Jenna read more
Step-by-step explanation:
Answer:
Antoine
Step-by-step explanation:
u see 8hrs divided by 1.25 hrs equals 6.4 Chapters and 6hrs/ 17/6 = 2.12 and that x3 = 6.36 as u can see 6.4 > 6.36 there u o have a good day bye please give brainliest im only 9 no cap
Given the system of equations, what is the value of the system determinant?
2x + y = 8
x - y = 10
0-1
0-2
0-3
Given:
The system of equation is
[tex]2x+y=8[/tex]
[tex]x-y=10[/tex]
To find:
The value of the system determinant.
Solution:
If two equations of a system of equations are [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex], then the system determinant is
[tex]D=\left|\begin{matrix}a_1&b_1\\a_2&b_2\end{matrix}\right|[/tex]
[tex]D=a_1b_2-b_1a_2[/tex]
The given two equations are [tex]2x+y=8[/tex] and [tex]x-y=10[/tex].
Here, [tex]a_1=2,b_1=1,c_1=8, a_2=1,b_2=-1,c_2=10[/tex].
[tex]D=\left|\begin{matrix}2&1\\1&-1\end{matrix}\right|[/tex]
[tex]D=(2)(-1)-(1)(1)[/tex]
[tex]D=-2-1[/tex]
[tex]D=-3[/tex]
The value of the system determinant is -3. Therefore, the correct option is C.
Answer:
-3
Step-by-step explanation:
2x+-3=8
x-3=10
you are playing rock , paper , scissors with your friend . what is the probability that your will throw something other than rock ?
A. 1/2
B. 2/3
C. 1
D. 1/3
Answer:
2/3
Step-by-step explanation:
Our traits are determined by our genes and these traits are inherited. Where do our genes come from?
A)
our father
B)
our mother
from both parents equally
D)
part from our mother but mostly from our father
Science
Evaluate: 5*5/7
enter your answer as a proper fraction or mixed number
Answer:
3 4/7
Step-by-step explanation:
5 times 5/7 = 25/7
= 3 4/7
Answer:
3 4/7
Step-by-step explanation:
5/1 x 5/7 = 25/7 = 3 4/7
Find the exact value of the expression: -6 3/5 - (-7 4/15) + 2 1/5
plzzzzzzzzz
Answer:
2 13/15
43/15
Step-by-step explanation:
Please help due today right now
Answer:
Find "f(6)" __-8__
Find x when "f(x)=2" __x=1__
Step-by-step explanation:
For the first part, we will substitute 6 into the f(x) to get "-2(6)+4" When simplified further, you get "-12+4" which is "-8"
For the second part we will substitute the two as the answer of f(x) "-2x+4=2" Simplifying this further we get "-2x=-2" This means that x=1
Neal buys a board game. He pays for the board game and pays $1.54 in sales tax. The sales tax rate is 5.5%.What is the original price of the board game, before tax?
Answer:
28
Step-by-step explanation:
1.54 divided by 0.055 = 28
PLEASE HELP!! 50 POINTS!
Answer the question in the picture.
Answer:
1.9
2.16
3.225
4.196
5.25
6.256
I answered again since they deleted mine
1.9
2.16
3.225
4.196
5.25
6.256
hope it helps
PLEASE HELP ME-Name the angles and sides of each pair of triangles that are congruent.
Answer:
Step-by-step explanation:
1) GH ≅ GH
HF ≅HL
GF ≅ GL
∠FGH =∠LGH
∠GHF = ∠GHL
∠GFH = ∠GLH
3) WX ≅ DC
XY ≅ CY
WY ≅ DY
∠WXY ≅∠DCY
∠XYW≅ ∠CYD
∠XWY ≅∠CDY
Pls help me
I’m stuck on this question pls
What is the area of the quarter circle ? *
20 point
3f+
7.065 sq ft
Step-by-step explanation:
A = pi*r^2
= 3.14*3^2
= 28.26
Next multiple by 1/4
28.26*0.25= 7.065sq ft
In ΔFGH, h = 9.6 inches, f = 2.5 inches and ∠G=78°. Find the length of g, to the nearest 10th of an inch.
Answer:9.4
Step-by-step explanation:
Answer: 9.4
Step-by-step explanation:
S.A.S.→Law of Cosines
a^2=b^2+c^2-2bc\cos A
g^2 = 9.6^2+2.5^2-2(9.6)(2.5)\cos 78
g^2 = 92.16+6.25-2(9.6)(2.5)(0.207912)
g^2 = 92.16+6.25-9.97976
g^2 = 88.43024
g=√88.43024 ≈9.404≈9.4
leah buys 3 adult and 3 child bus passes for a trip. the costs of an adult pass is a. the costs of a child pass is c. write an expression that will show the costs for all of the bus passes for the trip.
Answer:
6
Step-by-step explanation:
v/8=2
It's a one-step equation. How do I solve it?
Answer:
Mutiplying both sides by 8(v/8)×8 = v and 2×8=16 so:
v/8 = 2
v = 16
Answer:
v = 16
Step-by-step explanation:
8 x 2 = 16
16/8 = 2
so v =16
Let f(x)=18/1+3^e-0.1x What is the point of maximum growth rate for the logistic function f(x)? Show all work. Round your answer to the nearest hundredth
Answer:
(0, 4.5)
Step-by-step explanation:
*The equation can be put into Desmos, to find the point, but the work to prove it is here*
f(x)=c/1+Ae^-Bx
Y=C
C=18 A=3 -B=-0.1
*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*
f(0)=18/1+3e^-o.1(0)
= 18/1+3e^0
=18/1+3(1)
=18/1+3
=18/4
=4.5
x=0 y=4.5
Maximum growth rate = (x,y) --> (0, 4.5)
Hope this helps:))!!