solve the inequality |x + 4| < |2x|
Answers
Answer:
Below in bold.
Step-by-step explanation:
One way to do these is to square both sides:
(x + 4)^2 < 4x^2
x^2 + 8x + 16 < 4x^2
3x^2 - 8x - 16 > 0
Let this = 0:
3x^2 - 8x - 16 = 0
(3x + 4)(x - 4) = 0
x = -4/3, 4.
So the critical points are -4/3 and 4.
Make a table:
x < - 4/3 -4/3 +< x <= 4 x > 4
3x + 4 <0 > 0 > 0
x - 4 <0 < 0 > 0
(3x+4)(x-4) >0 <0 > 0
So the solution is x < -4/3 or x > 4
or in interval notation:
(-∞, -4/3) U (4, ∞)
Answer:
See image below for answer:)
Step-by-step explanation:
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Related Questions
help whats the answer??
Answers
Answer:
2 7/12
Step-by-step explanation:
You have to get all the fractions to a common denominator. Smallest common denominator would be 12.
5 and 3/4 turns to 5 and 9/12
2/3 turns to 8/12
2 and 1/2 turns to 2 and 6/12
8/12 + 2 6/12 = 3 2/12
5 9/12 - 3 2/12 = 2 7/12
2 7/12 being the remaining amount
How many one-to-one correspondences are there between two sets with
6 elements each?
Answers
Answer:
6 * 5 * 4 * 3 * 2 * 1, i.e. 6! or 720. Of course, since both sets have the same number of elements, you can't have one-to-one without being onto, aka a surjection, so “one to one correspondence” is the right term (or bijection—merci, M.
Step-by-step explanation:
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Find the value of the missing angles in the following figures
Answers
Answer:
ans: ii) 87° and iii) 60°
Step-by-step explanation:
ii)
y° = 180° - ( 56° + 37°)
missing angle on triangle is alternate angle of y° so are equal and sum of angles of triangle is 180°
iii)
x° + 2x° = 180°
sum of co interior angles is 180°
A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 4 liters per minute. The solution is mixed well and drained at 4 liters per minute. Let xx be the amount of salt, in grams, in the fish tank after tt minutes have elapsed. Find a formula for the rate of change in the amount of salt, dx/dtdx/dt, in terms of the amount of salt in the solution xx and the unknown concentration of incoming brine cc. dxdt
Answers
Answer:
dx/dt = 4c - 4x/15
Step-by-step explanation:
a. Find a formula for the rate of change in the amount of salt, dx/dtdx/dt, in terms of the amount of salt in the solution
Let c be the concentration of the incoming brine in grams per liter. Since it flows in at a rate of 4 liters per minute, the mass flow in is thus 4m.
Let x be the mass of salt present at time, t. The concentration of salt present at time, t is thus mass of salt/volume of tank = x/15. Since the well mixed solution is drained at 4 liters per minute, the mass flow out is thus 4x/15.
The net rate of change of amount of salt dx/dt = mass flow in - mass flow out
dx/dt = 4c - 4x/15
A survey found that one out of five Americans says he or she has visited a doctor in any given month. If 10 people are selected at random, find the probability that at least 3 will
have visited a doctor last month.
Answers
I took the test
On
Ed
Gen
Unity
Urelia made a deposit to her checking account. She had $104.00 in currency: $7.64 in coins; and checks for $83.29, $257.77, $1,332.68, and $3,984.05. What
was her total deposit?
$5,769.43
$6,126.43
$5.985.43
$6,432.43
None of these choices are correct.
Answers
Answer: $5,769.43
Step-by-step explanation:
For us to get the value of the total deposit, we have to add all the deposits together whether they're cash deposits or check deposit. This will be:
= $104.00 + $7.64 + $83.29 + $257.77, $1,332.68 + $3,984.05
= $5,769.43
Therefore, the total deposit is $5,769.43
Find the value of x in the given figure using properties of parallel lines.
Answers
Answer:
x =42
Step-by-step explanation:
x and 138 are same side interior angles. Same side interior angles are supplementary when the lines are parallel
x+138 = 180
x = 180-138
x =42
Answer:
42°
Step-by-step explanation:
138° + x = 180°
180° - 138° = 42°
Find the volume of a sphere with a diameter of 4 inches. Use 3.14 for π
.
Round your answer to the nearest hundredth.
The volume of the sphere is cubic inches.
Answers
Answer:
33.51 cubic inches
Step-by-step explanation:
Formula for volume of a sphere is V= 4 /3 · π · r3
We know the diameter is 4, and the radius is half the diameter, so the radius is 2.
V = 4 /3 · π · [tex]2^{3}[/tex]
≈ 33. 51032
Rounded to the nearest hundreth is 33.51.
Multiply the following complex numbers (7 + 2i)(2+3i) O A. 20-25i B. 8-25i O C. 8+ 25i O D. 20-25i
Answers
Đáp án là C: 8+25i nhé
8+ 25i
Answer:
C. 8+25i
Just took it, it's correct :)
.
Given g(x)=-x+4, find g(-4)
Answers
Answer:
g(-4) = 8
Step-by-step explanation:
g(-4) = - ( - 4 ) + 4
= 8
If this helps you, please give brainliest!
Find N(4) for the function, N(u)=4.
Answers
Answer:
D is your answer.
Step-by-step explanation:
hope you get it right.
⭐❤
Starting at a train station, Train A goes toward its destination to the right by 600
miles, and Train B goes to the left by 500 miles. Which of the following signed
numbers best represents Train A's direction and distance toward its destination?
A.-600
B.-500
C.500
D.600
Answers
9514 1404 393
Answer:
D. 600
Step-by-step explanation:
On a number line, positive numbers increase to the right. 600 to the right would be considered to be +600, choice D.
Use the grouping method to factor this polynomial.
x3 + 2x2 +7x+14
ANSWER ASAP!
Answers
ANSWER:-
(x²+7)(x+2)
hope it helps
have a nice day
Jenna is buying four new shirts at $20 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending?
20 times 4 = 80
20/4 = 80
4 times 20 = 80
20 + 20 + 20 + 20 =80
Answers
Answer:
20/4
Step-by-step explanation:
Because that would mean 20 divided by 4 which wouldn't accumulate to 80
Find the inverse of \(\Large h(x) = \frac {3}{2}x + 1 \)
Answers
Answer:
[tex]h(x) = \frac {3}{2}x + 1 \\ { \tt{let \: the \: inverse \: be \: { \bold{m}}}} \\ { \tt{m = \frac{1}{ \frac{3}{2}x + 1 } }} \\ \\ { \tt{m = \frac{2}{3x + 2} }} \\ \\ { \tt{m(3x + 2) = 2}} \\ \\ { \tt{3x + 2 = \frac{2}{m} }} \\ \\ { \tt{x = \frac{2 - 2m}{3m} }} \\ \\ { \tt{x = \frac{2}{3m}(1 - m) }} \\ \\ { \bf{h {}^{ - 1} (x) = \frac{2}{3x}(1 - x) }}[/tex]
Which ordered pair is a solution to the system of inequalities graphed here?
A. (1-2)
B. (-3,3)
C. (-2, 6)
D. (1.4)
Answers
Answer:
A. (1-2)
Step-by-step explanation:
I got it right on the exam
What is the range of f(x) = 3X?
O A. All real numbers greater than 3
O B. All real numbers greater than or equal to 3
O C. All positive real numbers
O D. All real numbers
Answers
shirly spelled 12 0f her 15 spelling words correctly on the test what percent grade did she get on the test
Answers
Answer:
80%
Step-by-step explanation:
Because Shirly spelled 12 out 15 correctly, she got a 12/15, which is equal to 4/5 or 80%
If you deposit ₱10,000 into an account that earns 5% annual interest compounded semiannually, how long will it take until there is ₱12,000 in the bank account
Answers
Answer:
t = 3.69 ≈ 3. 7 years
Step-by-step explanation:
Given :
P = 10,000
r = 5%= 0.05
A = 12,000
n = 2 ( because it is compounded semi - annually )
[tex]A = P (1 + \frac{r}{n})^{nt}\\[/tex]
[tex]12000 = 10000(1 + \frac{0.05}{2})^{2 t}\\\\1.2 = ( 1 + \frac{0.05}{2})^{2t}\\\\1.2 = (1.025)^{2t}\\\\log \ 1.2 = 2t \ log \ 1.025\\\\2t = \frac{log 1.2 }{log 1.025} \\\\2t = \frac{0.1823}{0.0247}\\\\2t = 7.3805\\\\t = 3.69[/tex]
Select all the expressions that are equivalent to 4x + 2.
A. 8x +4
B. 1/2(8x + 4)
C. 1/2(2x +1)
D. 2 (2x + 1)
E. 2x + 2x +1 + 1
Answers
someone can help me with this?
Answers
Answer:
3q + 2p =
Step-by-step explanation:
Perimeter refers to the outside lines only so hence, 3q + 2p =
pls help me i will mark brainliest if you are right !
Answers
Answer:
second option
Step-by-step explanation:
diameter= 22 cm
radius = diameter/2
=22/2
11 cm
volume of a sphere = [tex]\frac{4}{3}*pie* r^3[/tex]
=[tex]\frac{4}{3} * 3.14 *11^3[/tex]
=4.186666 * 1331
=5572 . 5 cubic centimeters (cm^3)
You buy 4 pencils at $0.30 each. You receive $0.80 back in change. How much money did you give
the cashier?
Answers
Total cost of the pencils is the number of pencils x the price per pencil:
4 x 0.30 = $1.20
Now add what you got back for change:
1.20 + 0.80 = 2.00
You gave the cashier $2.00
What is the measure of E, in degrees?
5
48°
F
Answers
Answer:
A) 84°
Step-by-step explanation:
Since ED=EF=5
then F=D=48°
Then E=180°-48°-48°=84°
if 4,1,2 in middle is 21
if 2,1,4 in middle is 16
then 1,4,2 what is number in middle?
Answers
Answer:
5
Step-by-step explanation:
21-16=5
hope it helps!!
is this an Olympiad qn?
I need help with this
Answers
sorry if i’m wrong
if a line with an angle of inclination 120⁰ and passes trough (√3,1),then what is the equation of a line
Answers
Answer:
The equation of a line, having inclination 120° with positive direction of x-axis, .of x-axis, which is at a distance of 3 units from the origin is. 1. See answer ... where α is the angle with the positive X-axis, made by the perpendicular line drawn Now, from equation the equation of the straight line will be.
Step-by-step explanation:
If these two triangles are similar, find the vale of x.
Answers
Answer:
24
Step-by-step explanation:
just use sss theorem and get the answer
12x = 16 x 18
12x = 288
x = 288/12
x = 24
Select the correct answer.
The function g(x) = x is transformed to obtain function :
Rx) = g(x) + 1.
Which statement describes how the graph of his different from the graph of g?
ОА
The graph of his the graph of gvertically shifted up 1 unit.
OB.
The graph of his the graph of g horizontally shifted right 1 unit.
OC. The graph of his the graph of g horizontally shifted left 1 unit
D. The graph of his the graph of g vertically shifted down 1 unit.
Answers
Answer: A
Step-by-step explanation:
What are the characteristics of a density curve? Select all that apply.
A. The total area under the curve is always 1.
B. The area between any two points is always 0.5.
C. The curve always falls on or above the horizontal axis.
D. The percentage of values between any two points is the area of the figure
formed by the curve and the x-axis.
Answers
Answer:
b
Step-by-step explanation:
From the characteristics of a density curve, option (A), (C), (D) are the correct answers.
What is a density curve?A density curve is a graph that shows probability. It is an idealized representation of a distribution in which the area under the curve is defined to be 1.The area under the curve is equal to 100 percent of all probabilities.
For the given situation,
Properties of density curves
• A density curve is always on or above the horizontal axis.
• The area underneath a density curve is exactly 1.
• The area under a density curve and above any range of values is the
relative frequency of all observations that fall in that range.
Hence we can conclude that from the characteristics of a density curve, option (A), (C), (D) are the correct answers.
Learn more about density curve here
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