Answers
Answer:
x>
4
9
Step-by-step explanation:
|3x−4|<6x
Let's find the critical points of the inequality.
|3x−4|=6x
We know either3x−4=6xor3x−4=−6x
3x−4=6x(Possibility 1)
3x−4−6x=6x−6x(Subtract 6x from both sides)
−3x−4=0
−3x−4+4=0+4(Add 4 to both sides)
−3x=4
−3x
−3
=
4
−3
(Divide both sides by -3)
x=
−4
3
3x−4=−6x(Possibility 2)
3x−4+6x=−6x+6x(Add 6x to both sides)
9x−4=0
9x−4+4=0+4(Add 4 to both sides)
9x=4
9x
9
=
4
9
(Divide both sides by 9)
x=
4
9
Check possible critical points.
x=
−4
3
(Doesn't work in original equation)
x=
4
9
(Works in original equation)
Critical points:
x=
4
9
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<
4
9
(Doesn't work in original inequality)
x>
4
9
(Works in original inequality)
Answer:
x>
4
9
Related Questions
PLEASE HELP ASAP, WILL GIVE BRAINLIEST!
If the area of this circle is 12, what is the area of the colored sector?
Answers
Answer:6
Step-by-step explanation:
since it is A half circle it is the hhalf Value of the area of the full circle
Half of a circle which the whole value is 12 and half of 12 is 6
2and2/3 divided by 2/3
Answers
Answer:
4
Step-by-step explanation:
[tex]2\frac{2}{3}\div \frac{2}{3}[/tex]
[tex]\mathrm{convert\;mixed\;numbers\;to\;improper\;fractions:2\frac{2}{3}=\frac{8}{3}}[/tex]
[tex]=\frac{8}{3}\div \frac{2}{3}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{8}{3}\times \frac{3}{2}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{8\times \:3}{3\times \:2}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]
[tex]=\frac{8}{2}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{2}=4[/tex]
[tex]=4[/tex]
~Learn with Lenvy~
Gary bought a bond with a face value of $12,000 and a coupon rate of 6.5%. The bond will mature in 10 years.
How much interest will he receive semiannually?
A) $780
B) $650
C) $468
D) $390
Answers
Answer:d
Step-by-step explanation:
12,000 x 6.5% = 780 divided by 2 =390
D. $390
May I get brainliest please? :)
CHALLENGE Randi and her sister made balloon animals and sold them for $0.50 each at
a school carnival. They made $48.00. If Randi made twice as many balloon animals as
her sister, how many balloon animals did each girl make? Show your work.
Answers
List what we know Randi made twice what sister did.
So 2X = Randi balloons made
X= Sister balloons made
We also know they made 0.5 for each animal so sales made / price = number sold
2X + X = 48/0.5
3X = 96
X = 32
So Randi made 64 And her sister made 32.
Cause 2X = Randi and X = sister
294 students went on a field trip. Five buses were filled and 14 students travelled in cars. How many students were in each bus?
Use algebra (variables) to solve this question.
Please do not skip steps
Answers
5x + 14 = 294
5x = 280
x = 280 / 5
x = 56
56 students per bus
Which is a TRUE statement about slope?
please help me with this
When a line increases as you read it from left to right, the slope of the line is negative.
When the slope of a line is negative, the y-values decrease as the x-values increase.
The slope of a line is always positive.
The slope of a line is never 0.
Answers
Answer:
when a line increases as you read it from left to right,the slope of the line is negative
Answer:
When a line increases as you read it from left to right, the slope of the line is negative.
Step-by-step explanation:
mark me as brainliest please
Evaluate the expression.
4x−5 for x=10
Enter the correct answer in the box.
Answers
Step-by-step explanation:
Substitute the given value of x into the expression;
[tex]4(10)-5[/tex]
Multiply;
[tex]40-5[/tex]
Subtract;
[tex]35[/tex]
Write a+b as a difference.
Answers
Answer:
I think a-b.
Step-by-step explanation:
Hope it's help you ✨
Evaluate. Answer has to be in scientific notation
(8 x 10^6) + (7.3 x 10^4)
Answers
Answer:
8.0730000*10^6
Answer:
8,073,000
=8.1 × 10⁶
Step-by-step explanation:
The answer is above
A clock's minute hand travels one full circle each hour. A particular clock's minute hand is 10. 2 cm. What is the approximate area covered by that minute hand in 3 hours? Use 3. 14 for π. 192. 17 cm² 326. 69 cm² 980. 06 cm² I don't know.
Answers
In three hours, it will cover 3 full circles. Then the area of the circle covered in three hours is 980.55 cm².
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A clock's minute hand travels one full circle each hour.
A particular clock's minute hand is 10.2 cm.
In one hour, it covers one full circle. Then in three hours, it will cover 3 full circles.
The area of the circle covered in three hours will be
[tex]\rm Area \ of \ circle \ in\ 3\ hours = 3 * area\ of\ one\ circle\\\\Area \ of \ circle \ in\ 3\ hours = 3*\pi r^2\\\\Area \ of \ circle \ in\ 3\ hours = 3*\pi*10.2*10.2\\\\Area \ of \ circle \ in\ 3\ hours = 980.55[/tex]
More about the circle link is given below.
https://brainly.com/question/11833983
What model describes the relationship between the amount of money in an account and time, given that the money triples every month
Answers
Part A
The number sentences show a pattern in the sum of the fractions from 0 to 1 for different denominators
NTS
(a)
a
0 1 2.
+ +
2 2 2
1
2
b.
0 1 2 3
+
3
+ +
3 3
3
2.
Seven
C
0 1 2.
7
+ +
7
7 7
+ ...
4
7
d.
0
1
+
10 10
-+
2
10
+...
10 10
5
10
Based on this pattern, which equation will have a sum that is a whole number? Select the correct answer.
、
wa
A 0 1 2
+
5 5
+
= 1
B
1 2 6
+ +
6
6 6
с
0 1
2 2 8
+
8
8 8 8
1 2
12
+ + +
12 12 12 12
DON on
- + +
160
on 16 ICOS
OIN
--
NIN
---
Answers
Answer:
A. 012.+22212
Step-by-step explanation:
A because you use that to add
The equation having a sum that is a whole number is 0/5 + 1/5 + 2/5 + .... + 5/5
What is an whole number?A whole number means a number that does not include any fractions, negative numbers or decimals.
Given that, number sentences show a pattern in the sum of the fractions from 0 to 1 for different denominators,
1) 0/5 + 1/5 + 2/5 + .... + 5/5 =
1/5(0 + 1 + 2 + 3 + 4 + 5) = 1/5(15) = 3 [whole number]
2) 0/6 + 1/6 + 2/6 + .... + 6/6 =
1/6(0 + 1 + 2 + 3 + 4 + 5 + 6) = 21/6 = 7/2 [fraction]
3) 0/8 + 1/8 + 2/8 + .... + 8/8 =
1/8(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) = 36/8 = 9/2 [fraction]
4) 0/12 + 1/12 + 2/12 + .... + 12/12 =
1/12(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12) = 78/12 = 13/2 [fraction]
Hence, the equation having a sum that is a whole number is 0/5 + 1/5 + 2/5 + .... + 5/5
Learn more about whole number click;
https://brainly.com/question/29766862
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The complete question is attached
A swimming pool has a length of 28 feet, a width of 16 feet, and a depth of 7 feet.
How much water can the swimming pool hold?
Answers
Answer:
The pool can hold 3,136 cubic feet of water
Step-by-step explanation:
To know how much water the pool can hold, we need to find the volume of this swimming pool, because the volume is how much a container can hold.
The formula for volume is L*W*H (length times width times height)
Let's multiply!
28*16*7=3136
What does X equal in this 30-60-90 triangle?
Answers
Answer:
19/2, or 9.5
Step-by-step explanation:
It's half of the longest side (You can see by flipping the triangle on the side between the 30 and the 90 angle, and notice that you get two halves of an equilateral triangle). In our case, its [tex]\frac {19}2 = 9.5[/tex]
please PLEASE help me!!! Write an expression that can be used to produce vector r from vectors p and q. Explain how you determined that expression
Answers
Answer:
r = p - q
Step-by-step explanation:
Write the two given vectors using i and j components.
i = unit vector in x direction
j = unit vector in y direction
p = -i - 3j
q = 3i - 4j
Now how can you combine these two vectors and get r when
r = -4i + j?
Adding p and q gives this:
p + q = -i - 3j + 3i - 4j = 2i - 7j
That is not r, so the addition of the vectors p and q does not work.
How about subtraction?
Start with -i from p and subtract 3i from q. You do get -4i which is the x-component of r.
Then start with -3j from p and subtract -4j from q. You get -3j - (-4j) = -3j + 4j = j which is the y-component of r.
That subtraction works.
p - q = -i - 3j - (3i - 4j) = -i - 3j - 3i + 4j = -4i + j which is exactly what r is.
Answer: r = p - q
Answer:
Step-by-step explanation:
x+5÷2=1 how to solve it.
Answers
my mistake wrong answer, sorry
Please help will give brainliest
Answers
Answer:
for freeee
Step-by-step explanation:
The second angle of a triangle is 95 more than the first angle. The third angle is three times the first. Find the three angles.
Answers
Answer: hope this helped!
Step-by-step explanation:
the clues for set up are all right in front of you:
x= first angle's measurement
x+5 = second angle's measurement
3x = third angle's measurement.
Their sum is 180 degrees; thus you can add the three expressions to get an equation that you can solve.
Learn from this example, please.
Select all the following that describe the association in the scatter plot
Answers
Answer:
C) positive association
Step-by-step explanation:
draw a line if these points gather around a line there is a relationship . The slope of the line is positive .So graph positive correlation .
Find the inverse of the function.
Y = 2x2 4
Answers
Answer:
To find inverse functions, switch the two variable and solve for y:
Step-by-step explanation:
x=2y²-4
x+4=2y²
(x+4)/2=y²
√((x+4)/2)=y
Hope this helps!
Answer:
q1, b ;q2, c
Step-by-step explanation:
2 more than the difference between 8 and h
Answers
hope this helped! :)
is y=(2x+5)^2 a linear
Answers
Answer:
y
=
(
2
x
+
5
)
2
Simplify
(
2
x
+
5
)
2
.
Tap for more steps...
y
=
4
x
2
+
20
x
+
25
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be
0
or
1
for each of its variables. In this case, the degree of variable
y
is
1
and the degree of variable
x
is
2
.
Not Linear
Step-by-step explanation:
please put me in brainlest
What is 1 2/3x4= PLS HELP
Answers
f(x)= {x+4 if x<5
{8 if 5 < or equal to x<7
{2x-1 if 7 < or equal to x < or equal to 10
for f(x), evaluate the following:
A. f(0)
B. f(6)
show all of your work.
Answers
Answer:
A. f(0) = 4
B. f(6) = 8
Step-by-step explanation:
When evaluating a piecewise function, the fist step is to determine the applicable domain. Then the function defined for that domain is the one that is used for the evaluation.
A.x = 0 is in the domain x < 5, so the applicable function is f(x) = x+4.
f(0) = 0 +4 = 4
__
B.x = 6 is in the domain 5 ≤ x < 7, so the applicable function is f(x) = 8.
f(6) = 8
1.) What figures are formed inside the hexagon?
2.) Does this construction suggest another way to construct a hexagon?
Answers
Answer:
Triangles
Step-by-step explanation:
By using triangles you should be able to construct a hexagon.
Answer:
a) See attached diagram. The figures formed inside the hexagon are equilateral triangles.
b) Create 6 congruent equilateral triangles and place together to form a hexagon.
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. A ze-0.822-121 The area of the shaded region is (Round to four decimal places as needed.)
Answers
The area of the shaded region is 0.1271 (12.71%).
What is the z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean)/standard deviation
Given:
Mean 0 and standard deviation 1. Hence, for z=-1.14:
P(z < -1.14) = 0.1271
The area of the shaded region is 0.1271 (12.71%).
Find out more on z score at: https://brainly.com/question/25638875
50 is the same as the quotient of p
and 10.
Answers
Answer:
500 divided by 10 = 50
Step-by-step explanation:
quotient means the answer of a division problem 50 is the quotient of 500 being divided by 10
Answer:
Setting this up;
50 = p/10
Step-by-step explanation:
Using the keywords;
'same as'
'quotient of'
and 'of p', we can determine how to format this expression.
¿Cuál es la quinta parte de dos terceras de 180? HELP!!
Answers
Answer:
24 is the answer
Step-by-step explanation:
To solve this problem, we first do two thirds of 180, and then we do one fifth of the solution you got for "two thirds of 180"
[tex]\mathrm{Two\:thirds\:of\:180 = (\frac{2}{3}) 180\:\:or\:\:\frac{2}{3}\times180}[/tex]
[tex]\mathrm{Turn\:\frac{2}{3}\:into\:a\:decimal,\:by\:dividing\:2\:by\:3}[/tex]
[tex]\mathrm{0.6666666666666667\times180}[/tex]
[tex]\mathrm{Multiply\:0.6666666666666667\:and\:180}[/tex]
[tex]\mathrm{120}[/tex]
Now we do one fifth of 120
[tex]\mathrm{One\:fifth\:of\:120 = (\frac{1}{5})120\:or\:\frac{1}{5}\times120}[/tex]
[tex]\mathrm{Turn\:\frac{1}{5}\:into\:a\:decimal,\:by\:dividing\:1\:by\:5}[/tex]
[tex]\mathrm{0.2\times120}[/tex]
[tex]\mathrm{Multiply\:0.2\:and\:120}[/tex]
[tex]24[/tex]
So the answer to "What is one fifth of two thirds of 180", would be 24
By multiplying the number by the corresponding fractions, we can see that the fifth part of two-thirds of 180 is 24.
How to get the fifth part of two thirds of 180?The fifth part of two-thirds of 180 is 24.
To calculate it:
Step 1: Find two-thirds of 180, Just multiply the fraction 2/3 by the number
(2/3) * 180 = 2 * 180 / 3 = 360 / 3 = 120
Step 2: Find the fifth part of the result from Step 1, similar like we did above, multiply the number by the fraction 1/5.
(1/5) * 120 = 120 / 5 = 24
So, the fifth part of two-thirds of 180 is 24.
Learn more about fractions at:
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Number between 49 and 95 that is a multiple of 3 8 and 12
Answers
Answer:
72 is a multiple of 3, 8, and 12.
Step-by-step explanation:
(3 x 24 = 72, 8 x 9 = 72, 6 x 12 = 72)
Write the multiples of 3, 8 and 12:
3: 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,
75,78,81,84,87,90,93,96
8:
8,16,24,32,40,48,56,64,72,80,88,97
12: 12,24,36,48,60,72,84,96
The common multiple between 49 and 95 is 72
Answer: 72
Hurry please!
Find the slope
A. -3/5
B. 3/5
C. -5/3
D. 5/3
Answers
Answer:
[tex]\frac{5}{3}[/tex] should be correct!
Step-by-step explanation:
Based on the graph, the line is going up (positive direction) 5 units and to the right 3 units.
Therefore, the slope would be 5/3.