x>8 and x<2 are the two possible inequalities of |x - 5| > 3
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Let x be the number
|x - 5| > 3
Now solve for x.
Suppose x - 5 is positive. Then
x - 5 > 3
x > 8
Suppose x - 5 is negative. Then |x - 5| = -(x - 5) = 5 - x
5-x>3
5-3>x
2>x
x<2
Hence, x>8 and x<2 are the two possible inequalities of |x - 5| > 3
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Write the next three terms of the arithmetic sequence.
Help Please, this question is kinda hard for me
Answer:
p = 44
Step-by-step explanation:
steps:
A. multiply through by the L.C.M (4).
Which of the following statements shows the distributive property?
5 + (4 – 2) = 9 + 3
5 + (4 – 2) = 20 – 10
5(4 – 2) = 20 – 10
5(4 – 2) = 9 – 7
If f(1) = 7 and f(n) = -3f(n − 1) then find the value of f(6).
Answer:
-1701
Step-by-step explanation:
The recursion relation tells you each term of the sequence is -3 times the previous term. Then the first 6 terms are ...
7, -21, 63, -189, 567, -1701
The value of f(6) is -1701.
_____
Additional comment
The explicit formula for a geometric sequence with first term 7 and common ratio -3 is ...
f(n) = 7×(-3)^(n-1)
Then f(6) is ...
f(6) = 7×(-3)^5 = 7×(-243) = -1701
∠BCD is an exterior angle of ∆ABC. If ∠BCD= 3∠A = x and ∠B = 80°, find the value of x.w
Answer:
[tex] \tt{✧ \: S \: O \: L \: U \: T \: I \: O \: N : }[/tex]
[tex] \large{ \tt{✿ \: 3x = x + 80 \degree}}[/tex] [ Exterior angle is equal to the sum of two non - adjacent interior angles ]
[tex] \longrightarrow \: \tt{3x - x = 80 \degree}[/tex]
[tex] \longrightarrow \tt{2x = 80 \degree}[/tex]
[tex] \longrightarrow \tt{x = \frac{80 \degree}{2} }[/tex]
[tex] \longrightarrow{ \boxed{ \tt{x = 40 \degree}}}[/tex]
Hence , the value of x is 40° .Hope this helps! ( ╹▽╹ )
if something is 34 mins how many times can it play in 7 hours
Answer:
12
Step-by-step explanation:
my boys said so, and I agree
(7*60)/34
A cheerleading team plans to sell t-shirts as a fundraiser. The team's
goal is to make a profit of at least $1271. The profit on each t-shirt sold
is $6.20. The team's goal is written as the inequality shown below.
6.20t 21271 where t=number of t-shirts sold
Which graph represents the solution to this inequality?
Answer: the answer is C
The border around a picture has the same width all the way around. The perimeter of the picture is 123 cm and the perimeter of the outside of the picture frame is 191 cm. Find an equation that can be used to find to find the width of the border around the picture?
Answer:
2x +2y= 123, or
8a +2x +2y= 191
Step-by-step explanation:
Perimeter of rectangle= 2(length) +2(width)
Let the length and the width of the picture be x and y respectively.
Perimeter of the picture= 2x +2y
2x +2y= 123 -----(1)
Let the width of the border be a.
Length of picture frame= a +x +a= 2a +x
Width of the picture frame= a +y +a= 2a +y
Outer perimeter of the frame= 191
2(2a +x) +2(2a +y)= 191
Expand:
4a +2x +4a +2y= 191
8a +2x +2y= 191 -----(2)
Substitute (1) into (2):
8a +123= 191
8a= 191 -123
8a= 68
a= 68 ÷8
a= 8.5 cm
Thus the width of the border is 8.5 cm.
Given that u =< 2,12 >, and z =< -7,5 >
If w = u + z, what is the value of || w ||? (answer should be accurate to 3 decimal places
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
Hi! I need help, I can never figure these out!
Question: "A rectangular pool has a length that is 13 meters longer than its width. Its perimeter is 74 meters. What is the width of this pool?"
Thank you !!
We dont talk about math math math math math
Step-by-step explanation:
are you in high school? if you are.... i cant help you but i want to say watch encanto and Iron man 1 2 and 3
2
Which equation describes a linear function?
O 4x2 + 5y2 = 6
+
O 4r + 5y = 6
0 4x² + 5y = 6
4x + 5y2 = 6
Answer:
See below.
Step-by-step explanation:
The answer is 4x+5y=6.
A linear function has a single slope. A function with exponents will not be linear.
-hope it helps
Could someone help me please?
Answer:
>
Step-by-step explanation:
|-4| = 4
-|4| = -4
Breaking down this problem above, we know the absolute value of 4 is 4. Multiply that by -1, you get -4
Now, plugging in these answers, we have...
4 ___ -4
4 is greater than -4, so you put >
A businessman bought a personal computer for $10,768. Calculate the selling price of the personal computer if he made a profit of 12 percentage
Answer:
$12,060
Step-by-step explanation:
LET selling price be rep by x
since he made a profit of 12%, we then add to 100%
100% + 12% = 112%.
to find the selling price, we multiply cost price by 112%
112% x $10768 =
112 / 100 x $10,768
= 1.12 x $10,768 = 12,060
selling price = $12,060.
Answer:
12060.16
Step-by-step explanation:
A certain country has 130.41 million acres of forest. Every year, the country loses 1.61 million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 70.84 million acres of forest left? (Use an equation to solve this problem.)
After_______ years, this country would have 70.84 million acres left
Let years be x
[tex]\\ \tt\hookrightarrow 130.41-1.61x=70.84[/tex]
[tex]\\ \tt\hookrightarrow 1.61x=130.41-70.84[/tex]
[tex]\\ \tt\hookrightarrow 1.61x=59.57[/tex]
[tex]\\ \tt\hookrightarrow x=59.57/1.61[/tex]
[tex]\\ \tt\hookrightarrow x=37years[/tex]
Joe and Cody each improved their yards by planting hostas and shrubs. They bought their
supplies from the same store. Joe spent $64 on 6 hostas and 2 shrubs. Cody spent $54 on 5
hostas and 2 shrubs. Find the cost of one hosta and the cost of one shrub.
Answer:
10.8 on hostas
Step-by-step explanation:
I don't know exact answer
anna is on a road trip. she uses 3/4 of a tank of gas every 9/2 hours. How many tanks of gas will anna use after 12 hours?
Answer:
Step-by-step explanation:
This is a proportional question. If you learn how to keep things together, they are not only easy to do, they are mechanical: they are all done exactly the same way.
tanks of gas different tanks of gas
========== = ================
hours different hours.
initial tank of gas = 3/4 tank
initial hours = 9/2 = 4.5 hours
final tanks of gas = X
final time = 12 hours.
Solution
3/4 x
==== = ==============
4.5 12
Cross multiply
4.5x = 12*3/4 Combine the right
4.5x = 36/4 Simplify
4.5x = 9 Divide both sides by 4.5
x = 9/4.5
x = 2
So she will need 2 tankfuls.
b.) Shipping is free for all online orders over $70. Write an inequality to describe the amount of money you will need to spend to get free shipping.
Inequality:
I need help with this math
Answer:
50 i hope your helpful
......
Answer:
it is 50
Step-by-step explanation:
i really hope this helped bestie!
Question shown in image
Answer:
∠e and ∠a
Step-by-step explanation:
∠d is congruent to ∠e by the rule Corresponding Angles.Therefore, ∠e is congruent to ∠a by the rule Vertical Angles.This means that ∠d is congruent to ∠a by the rule Alternate Interior Angles.-Chetan K
Answer:
The answers are 2 and 4.Find the slope of the line that contains (3,-2) and (4,3).
Answer:
m = 5
Step-by-step explanation:
Recall that "slope" = rise/run.
Moving from the first point to the second, we see a 'run' of 1 and a 'rise' of 5. Thus, the slope of the line containing these two points is
m = rise/run = 5/1, or m = 5
A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She descends 46.3 feet.
She then travels directly up 33.4 feet.
Next, she descends a second time, 97.4 feet.
How many feet must she now rise to get back to sea level?
Answer:
one post id plenty!
Step-by-step explanation:
sorry if wrong
Complete the sentence.
is 10 times as much as 60.
Answer:
10 times as much as 60 equals 600
Step-by-step explanation:
10x60=600
Answer:
10 times as much as 60 is 600
Step-by-step explanation:
60×10=600
If f(x) = 2x - 2, find f(3)
Step-by-step explanation:
f(3)= 2(3)-2
=6-2
=4
easy peasy
Answer:
[tex] \displaystyle{f(x) = 2x - 2}[/tex]
When x=3[tex]2(3) - 2[/tex]
[tex]6 - 2[/tex]
[tex]4[/tex]
I find this question very confusing.
write a rule to describe the number of pounds p(n) as a function of a number of tons n.
The relationship between p(n) and n is given by p(n) = 0.0005n
Equation
An equation is an expression used to show the relationship between two or more numbers and variables.
Let p represent the weight in pounds and n represent the weight in tons.
1 pound = 0.0005 ton, hence:
p(n) = 0.0005n
The relationship between p(n) and n is given by p(n) = 0.0005n
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please helpppppp asap
Answer:
C: 544
Step-by-step explanation:
4hr x 2 = 8hrs this means the time is just doubled so to solve the equation we do the following
272 x 2 = 544
or
272 + 272 = 544
twice a number a is at most 3
Answer:
it could be 1.5 or 1
Step-by-step explanation:
because 1.5 times 2 is 3 and 1 times 2 equals 2
please mark brainliest if it helped
Answer:
No, it can exceed 3
Step-by-step explanation:
the variable could be anything from 600 to 600 million and when you double it's only going to get bigger.
When x = 2, what is the value of the expression 5x^2 - 4?
[tex] \: \: [/tex]
[tex] \sf \: 5(2)^{2} - 4[/tex][tex] \: \: \: [/tex]
[tex] \sf \: 5(4) - 4[/tex][tex] \: \: \: [/tex]
[tex] \sf \: 20 - 4[/tex][tex] \: \: \: [/tex]
[tex] \sf \: 16[/tex]Hope It's Helps~The value of the expression, 5x^2 - 4, when x = 2 is: 16.
What is the the Value of an Expression?To find the value of an expression, plug in the given value of the variable and solve by simplifying.
Given the expression, 5x^2 - 4, when x = 2, we would have:
5(2)^2 - 4
5(4) - 4
20 - 4
= 16
Therefore, the value of the expression, 5x^2 - 4, when x = 2 is: 16.
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Is 5(1/5^3) = 5(5^3)?
A: yes both expressions r equal to 625
B:yes both expressions r equals to 1/25
C:no the first expression is equal to 1/25 and the second expression is equal to 625
D: no the first expression is equal to 625 and the second is equal to 1/25
Answer:
C:no the first expression is equal to 1/25 and the second expression is equal to 625
Step-by-step explanation:
if you do in the calculator it will give you 0.04(wich is ecual to 1/25)
and the second one is 5^3 (which is 125) *5 = 625
Help
How do you find the sum of the exterior angle measures of any convex polygon?
If the polygon is regular, how do you find the measure of each exterior angle in the polygon?
Answer:
If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .
Consider the sum of the measures of the exterior angles for an n -gon.
N=180n−180(n−2)
Distribute 180 .
N=180n−180n+360 =360.
Step-by-step explanation: