Answer:
see explanation
Step-by-step explanation:
Inequalities of the form | x | < a have solutions of the form
- a < x < a
Given
| x - 4 | < 3 , then
- 3 < x - 4 < 3 ( add 4 to the 3 intervals )
1 < x < 7
Thus x > 1 or x < 7
The solution of the given inequality is x < 7 or x > 1.
To solve the inequality Ix - 4| < 3, we can break it down into two cases: when the expression inside the absolute value is positive and when it is negative.
Case 1: x - 4 > 0
In this case, we don't need to consider the absolute value because the expression inside it is already positive.
So we have:
x - 4 < 3
Adding 4 to both sides:
x < 3 + 4
x < 7
Case 2: x - 4 < 0
In this case, the expression inside the absolute value is negative, so we need to negate it when removing the absolute value. Therefore, we have:
-(x - 4) < 3
Expanding the negation:
-x + 4 < 3
Subtracting 4 from both sides:
-x < 3 - 4
-x < -1
Dividing both sides by -1 and flipping the inequality sign:
x > 1
Combining the results from both cases, we have the solution:
x < 7 or x > 1
In interval notation, the solution is (-∞, 1) U (7, +∞).
Hence the solution of the given inequality is x < 7 or x > 1.
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i need help figuring out the blank questions. i have been stuck on them all day
The graphs of functions f and g for values of x
between -3 and 3 are shown above. Which of
the following describes the set of all x for
which g(x) f(x)?
(A) x > -3
(B) -3< x < -1 or 2 < x< 3
(C) -1 < x< 2
(D) 1
Answer:
yo im pretty sure its B
Step-by-step explanation:
Please help ASAP, dhejhehdidbdbfind
Answer:
[tex]x = 7 \: \: degrees[/tex]
Step-by-step explanation:
[tex]7x + 9 = 8 x + 2 \\ 7x - 8x = - 9 + 2 \\ - x = - 7 \\ x = 7 \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
_____________________________________
Hey!!!
Solution,
7x+9=8x+2[ being corresponding angles]
or,7x-8x=2-9
or,-x=-7
X=7
The value of X is 7
Hope it helps
Good luck on your assignment
Stay Safe...____________________________________
Carlos drew a triangle and measured two of the sides to be 8 inches and 12 inches. What has to be true of the third side?
A.
It is equal to 4 inches.
B.
It measures less than 4 inches.
C.
It measures more than 4 inches.
D.
It is 2.5 inches.
Answer:
C
Step-by-step explanation:
The triangular inequality states that a+b>c, b+c>a, a+c>b. So, 4+8=12, so a is not possible. Neither is b. D is not true either. It has to be c.
Please mark as Brainliest! :)
Have a nice day.
The third side of the triangle measures more than 4 inches.
What are the properties of triangle for it's side?The sum of the length of the two sides of a triangle is greater than the length of the third side. The difference between the two sides of a triangle is less than the length of the third side.
According to the given question we have,
Length of the two sides of a triangle are 8 inches and 12 inches.
Let the length of the third side be x inches.
Now, according to the properties of a triangle
"The difference between the two sides of a triangle is less than the length of the third side".
Therefore,
12 - 8 < x
⇒ 4 < x
⇒ The third side of the triangle is greater than 4 inches.
Hence, the third side of the triangle measures more than 4 inches.
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PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!!
Write in decimal notation.
Answer:
5.571349 x 10^3
or
5571.349
Answer:
34720.341
Step-by-step explanation:
31x1120.011 = 34720.341
* ANSWER ASAP *
What is the answer?? It's pretty difficult.
Answer:
28
Step-by-step explanation:
CJ is the diameter of the circle. The diameter is twice the radius. Therefore, if DI = 14, CJ will be double that (CJ = 28).
Answer:
7
Step-by-step explanation:
Find the surface area of the sphere. Use 3.14 for pi. Round to the nearest
tenth. (Given diameter is 17)
Answer:
908, it's rounded to the nearest tenths
Step-by-step explanation:
Answer:
Step-by-step explanation:
Diameter = 17 units
Radius r = 17/2 = 8.5 units
Surface area of sphere = 4πr²
= 4 * 3.14 * 8.5 * 8.5
=907.46 square units
Which of the following illustrates the truth value of the given conditional statement?
If 6 • 3 = 18, then 4 + 8 = 20.
Answer:
6x3
Step-by-step explanation:
sorry if wrong
See Attached Photo for question
Answer is:
A. f(–3) = –27, f(0) = –4, and f(–1) = 5
B. f(–3) = –27, f(0) = –4, and f(–1) = –5
C. f(–3) = –7, f(0) = –4, and f(–1) = –1
D. f(–3) = –7, f(0) = –0, and f(–1) = 5
Answer:
you attached this photo for and
For the linear equation y=-10+5x the x intercept is ?
Answer:
(2, 0)
Step-by-step explanation:
X intercept is when y = 0.
0 = -10 + 5x
5x = 10
x = 2
Find the surface area
Answer: 952.46
Step-by-step explanation:
Answer:
1,305
Step-by-step explanation:
15 x 15 = 225 divided by 2 = 112.5
5 x 15 = 225 divided by 2 = 112.5
15 x 24 = 360
15 x 24 = 360
15 x 24 = 360
ADD THEM ALL UP
You get 1305
Health department officials are trying to identify the source of an outbreak of an intestinal virus. Which is the most likely source of the
virus?
O A. polluted air
O B. contaminated water
OC. poor nutritional habits
O D. lack of exercise
Answer:
contaminated water
Step-by-step explanation:
intestinal virus is due to contaminated water or food
Answer:
B. Contaminated water
Step-by-step explanation:
This is because you may get it from what is in the water that will affect you in various ways.
What is the circumference of a basketball hoop rim that is 9 inches in diameter?
A. 254.34 inches
B. 28.26 inches
C. 15.69 inches
D. 56.52 inches
Answer: 28.29 inches
Step-by-step explanation:
Circumference = 2πr
= 2 * π *4.5
= 28.29 inches
Answer:
b. 28.26
Step-by-step explanation:
Given diameter (D) = 9
Radius =
D/2 = 4.5
Circumference = πD
= 9π
= 28.274333882308
you would round to the nearest hundreth and it would be
28.26
Point A is at (-7,-9) and point M is at (-0.5, -3).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answer:
(6,3)
Step-by-step explanation:
You can solve this by looking at the x and y coordinates independently.
The distance between -7 and -0.5 is 6.5.
The distance between -9 and -3 is 6.
Since point M is the midpoint, the distances between point A and point M should be the same, so you can literally just add the distances to the midpoint to find the other endpoint. This means that point B is located at (-0.5+6.5, -3+6) or (6, 3).
To check your work you can test the slope of the line and see that it is consistent from points A to B and from A to M.
[tex]\frac{(3--9)}{(6--7)}[/tex] = [tex]\frac{12}{13}[/tex] and [tex]\frac{(-3--9)}{(-.5--7)}[/tex] = [tex]\frac{6}{6.5}[/tex] which are both equal to ≈ .923077
Answer:
(6,3)
Step-by-step explanation:
What type of transformation does the arrow below depict?
A. Dilation
B. Reflection
C. Rotation
D. Translation
Answer:
C. Rotation
Step-by-step explanation:
Rotation is the movement of an object about a fixed point (center of rotation) either clockwise or in an anticlockwise direction. As seen from the image attached, the arrow represents that the object is rotated in an anticlockwise direction.
Translation transformation is the process of moving an object points in a particular direction at the same distance.
Dilation is the process of enlarging or reducing the size of an object.
Answer:
Rotation
Step-by-step explanation:
8.4^3×4.8^2=
can you pleas help
Answer:
13655.90016
Step-by-step explanation:
[tex]8.4^3 \times 4.8^2 \\= 592.704 \times 23.04\\=13655.90016[/tex]
In the diagram below, AB is parallel to CD. What is the value of x?
À
*
45°
O A. 45
OB. 30
O C. 60
OD. 135
SUBMIT
Answer:
x = 45 ⁰ ( corresponding angle )
Answer:
[tex]x = 45 \: \: degrees[/tex]
Answer A is correct
Step-by-step explanation:
[tex] x= 45[/tex]
(Corresponding angles)
The graph below shows a proportional relationship between x and y.
Answer:
the constant of proportionality is 4
PLEASE ANSWER, EASY QUESTIONS, WILL GIVE BRAINLIEST IF RIGHT 1. Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange.
Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 4 24 22
What is the experimental probability that Jenny will pull out a pink tile? 22 over 50
22 over 28
24 over 50
4 over 50
2. Jake has a bag of 50 beads, of which some are red and the remaining are yellow. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 6 red and 9 yellow beads. Based on the result, what is most likely the number of red beads in the bag?
10
20
30
40
Answer:
Jenny Question Answer: 4 over 50
Jake Question Answer: 20 beads are red
Step-by-step explanation:
Jenny: She pulled a purple tile 4 times when there is 50 tiles in the bag
Jake: 6 of the 15 beads are red. 6/15 = 2/5 = 40% are red. Take the percent times the total number of beads. 40 * 50 = 20.
20 of the beads are red
I hope I helped, please correct me if I'm wrong!
The Dodgers (D) and the Angels (A) won a total of 165 games during a regular season, and the Angels won 19 games more than the Dodgers.
How many games did each team win?
btw this is solving systems of equations
Answer:
Dodgers won 73 games while angels won 73 + 19 = 92 games.
Step-by-step explanation:
The Dodgers and the angels won a total of 165 games during a regular season. The angels won 19 games more than the Dodgers .
The both team won a total of 165 games but we weren't given the game each team won but the game each team won can be gotten from the question.
Let
number of game won by Dodgers = x
number of game Angels won = x + 19
The both of them won 165 game altogether. This means the sum of their individual games won is equals to 165. Therefore,
x + x + 19 = 165
collect like terms
2x + 19 = 165
2x = 165 - 19
2x = 146
divide both sides by 2
x = 146/2
x = 73
Dodgers won 73 games while angels won 73 + 19 = 92 games.
Pls help tank you so much !!!!!
Answer:
A
Step-by-step explanation:
AnB means including the numbers that both the sets have.
14) The ions Sr2+and PO43- form a salt with the formula
A) Sr2(PO4)2
O B) Sr(PO4)2
C) SrP04
D) Sr2P04
E) Sr3(PO4)2
Answer:
E
Step-by-step explanation:
Sr2+ po43- exchange the charges and write the salt
a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14800 dollars
Answer:
10.1 years.
Step-by-step explanation:
It is given that,
Principal = 9000
Rate of interest = 5%
No. of times interest compounded = 2 times in an year
Amount after certain time = 14800
The formula for amount:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.
Substitute the given values in the above formula.
[tex]14800=9000(1+\frac{0.05}{2})^{2t}[/tex]
[tex]\frac{14800}{9000}=(1+0.025)^{2t}[/tex]
[tex]1.644=(1.025)^{2t}[/tex]
Taking log both sides.
[tex]\log(1.644)=\log(1.025)^{2t}[/tex]
[tex]\log(1.644)=2t\log(1.025)[/tex] [tex][\because \log a^b=b\log a][/tex]
[tex]\frac{\log(1.644)}{2\log(1.025)}=t[/tex]
[tex]t=10.066[/tex]
[tex]t=10.1[/tex]
Therefore, the required time is 10.1 years.
Answer:
9.4
Step-by-step explanation:
The correct answer is actually 9.4. Delta Math corrected me afterwards.
Find the slope and y-intercept of the linear equation y=8−3x
Answer:
Slope: -3
y-intercept: (0, 8)
Step-by-step explanation:
The equation y = mx + b is used for all linear equations. In this equation, m = slope and b = y-intercept.
In order to find these two variables, you must put the equation given into the y = mx + b format.
y = 8 - 3x becomes y = -3x + 8
That means that m = -3 = slope and b = 8 = y-intercept.
I hope this helps!
1. Simplify. (-8x^3+4x+1)/(2x+1)
A.4x^2 - 2x+1
B.-4x^2+2x+1
C.4x^2+2x-1
D.-4x²+2x-1
Pls hurry I will give you brainliest
The solution to the polynomial (-8x³ + 4x + 1) / (2x + 1) is -4x² + 2x + 1
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation (-8x³ + 4x + 1) / (2x + 1), hence:
(-8x³ + 4x + 1) / (2x + 1) = -4x² + 2x + 1
The solution to the polynomial (-8x³ + 4x + 1) / (2x + 1) is -4x² + 2x + 1
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could you answer both these questions? Will give brainilest!! To answer give eithr a,b,c or d. THANK U
Answer:
1st qns: A
2nd qns: B
Step-by-step explanation:
The ans is A as its 1/6
Answer:1. A 2.B
1. Sample space- 1,2,3,4,5,6
favarable outcome- 3
1/6
2. Sample space- 1,2,3,4,5,6
favorable outcome- 4,5
2/6
I NEED HELP, AND FAST
｡☆✼★ ━━━━━━━━━━━━━━ ☾
have cat + have dog = 7
do not have cat + have dog = 5
do not have dog + have cat = 6
do not have cat + do not have dog = 0
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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The ideal mass for a piece of chocolate is 2.5 ounces. The actual mass for a production can vary by, at most, 0.08
ounces. Create an absolute value inequality and solve it to determine the range of chocolate masses.
Answer:
[tex]2.42\,oz \leq m_{real} \leq 2.58\,oz[/tex]
Step-by-step explanation:
The inequality must be the absolute value of the difference between real mass and ideal mass less or equal to 0.08 ounces. That is to say:
[tex]|m_{real} - m_{ideal}| \leq 0.08\,oz[/tex]
[tex]|m_{real} - 2.5\,oz| \leq 0.08\,oz[/tex]
There are two extreme cases:
[tex]m_{real,max} - 2.5\,oz = 0.08\,oz[/tex] and [tex]m_{real, min} - 2.5\,oz = -0.08\,oz[/tex]
[tex]m_{real, max} = 2.58\,oz[/tex] and [tex]m_{real,min} = 2.42\,oz[/tex]
Range of chocolate masses must be:
[tex]m_{real, min} \leq m_{real} \leq m_{real,max}[/tex]
[tex]2.42\,oz \leq m_{real} \leq 2.58\,oz[/tex]
somebody help me please What is 10x + 60 = 300 first answer brainiest
Answer:
x=24
Step-by-step explanation:
10x + 60 = 300
10x=300-60
10x=240
x=24
Answer:
[tex] \boxed{x = 24} [/tex]
Step-by-step explanation:
[tex] Solve \: for \: x: \\=> 10x + 60 = 300 \\ \\ Substrate \: 60 \: from \: both \: sides: \\ =>10x + (60 - \boxed{60}) = 300 - \boxed{60} \\ \\ 60 - 60 = 0: \\ =>10x = 300 - 60 \\ \\ 300 - 60 = 240: \\ =>10x = \boxed{240} \\ \\ Divide \: both \: sides \: of \: 10 x = 240 \: by \: 10: \\=> \frac{10x}{10} = \frac{240}{10} \\ \\ \frac{10}{10} = 1: \\=>x = \frac{24\cancel{0}}{1\cancel{0}} \\ \\=> x = 24 [/tex]
Please helppp i would really appreciate it
Answer:
All I wanna say is, GG
