Hi there!
2|x - 1| + 5 < 13
Begin by subtracting 5 from both sides:
2|x - 1| < 8
Divide both sides by 2:
|x - 1| < 4
Find both the positive and negative solutions:
x - 1 < 4
x < 5
-(x - 1) < 4
-x + 1 < 4
-x < 3
x > -3
[tex]Hello[/tex] [tex]There![/tex]
Let's solve your inequality step-by-step.
[tex]2(|x-1|)+5<13[/tex]
Step 1:
You must add -5 both sides.
[tex]2(|x-1|)+5+-5<13+-5[/tex]
[tex]2(|x-1|)<8[/tex]
Step 2:
You must divide both sides by 2.
[tex]\frac{2(|x-1|)}{2}[/tex] [tex] \leq \frac{8}{2}[/tex]
[tex]|x-1|<4[/tex]
Step 3:
Solve the Absolute Value.
[tex]|x-1|<4[/tex]
We know that x−1<4 and x−1>−4.
[tex]x-1<4[/tex] Condition 1.
[tex]x-1+1<4+1[/tex] (Add 1 to both sides)
[tex]x<5[/tex]
[tex]x-1>-4[/tex] (Condition 2)
[tex]x-1+1>-4+1[/tex] (Add 1 to both sides)
[tex]x>-3[/tex]
[tex]ANSWER![/tex]
[tex]x<5[/tex] [tex]and[/tex] [tex]x>-3[/tex]
Hopefully, this helps you!!
[tex]AnimeVines[/tex]
Determine the derivative of f(x) = -5x+3x from first principles first Calculate
Answer:
The derivative of the function f(x) = -5x+3x is ----> -2
Step-by-step explanation:
Find the value of the power. 3⁵=
Answer:
243
Step-by-step explanation:
When you multiply 3 five times you get 243.
Answer: 243
Step-by-step explanation: Make sure to multiply three five times/ Don't get confused so right when you do three times three you multiply it by the number you got.
Find the endpoint/midpoint.Please hurry
Answer:
im not sure, but i have
Step-by-step explanation:
Answer:
Step-by-step explanation:
There is a proportional relationship between any length measured in centimeters and
the same length measured in millimeters. There are two ways of thinking about this proportional relationship. If you know the length of something in centimeters, you can calculate it’s length in millimeters
The constant of proportionality is 10.
What is constant of proportionality?The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality is the fixed or constant pace at which ratios rise and decrease. Two ratios are said to be directly proportional if they share the same constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality. The constant of proportionality is the name given to this consistent pace of growth or decline.
a)
since , 1 cm = 10mm
9cm = 90mm
12.5cm = 125mm
50cm = 500mm
88.49cm = 884.9mm
b)
The constant of proportionality is 10.
To know more about constant of proportionality please visit:
https://brainly.in/question/15971683?
#SPJ2
I need help ASAP!!! FIND THE SEGMENT Please explain how u got the answer
Answer:
x = 960
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
( leg of large triangle )² = ( part of hypotenuse below it) × ( whole hypotenuse), so
x² = 576 × (576 + 1024) = 576 × 1600 = 921600 ( take square root of both sides )
x = [tex]\sqrt{921600}[/tex] = 960
The volume of this cube is 12,167 cubic millimeters. What is the value of r?
Work Shown:
length*width*height = volume
r*r*r = 12167
r^3 = 12167
r = (12167)^(1/3)
r = 23
As a check,
r*r*r = 23*23*23 = 12167
So the answer is confirmed.
Find the distance between the points (-8, 7) and (-3, -5).
Answer:
Step-by-step explanation:
We have a formula for these types of problems called the distance formula. If you learned it during class, it's great to memorize it so that you're prepared whenever a problem like this (where we need to find the distance between two points) comes up!
The distance formula
d=[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1}^{2}}[/tex]
I'll comment the answer down below, but doing problems is the best way to memorize equations. Trust me on this one.
Answer:
Baba
Step-by-step explanation:
Booey
Within 9 hours, the number of stars seen went from 190 to 33 as the sun started to rise. Find out how many stars are getting hidden by the sunlight each hour.
Answer:
Approximately 17 stars
help me I’m bad with this stuff
Answer:
(4x10^1)(2x10^4)
=40^1 × 20^4
=800^5
Answer:
8 x 10^5
Step-by-step explanation:
We can start by grouping the powers of ten together and the other numbers together, as you can move numbers around when multiplying:
4 x 2 x 10^1 x 10^4
4 multiplied by 2 is 8, so we can put that in:
8 x 10^1 x 10^4
Next, using the product rule, 10^1 x 10^4 would be ten to the power of the sum of the two exponents, or 10^(4 + 1), which is 10^5.
We will be left with
8 x 10^5
This is in scientific notation, so no further modification is needed.
URGENT HELP PLS AND THANK U
Answer: a= 1
Step-by-step explanation:
a * b = b
Divide by “b” on both sides
a= b/b
“b/b” is equal to 1
a=1
Hope that helps
Lmk if you need a better explanation.
Please help me ASAP I need help
Answer:
(-9,1.5)
Step-by-step explanation:
(-6*1.5, 1*1.5)
Correct answer gets brainliest and 5 star
Answer:
d
Step-by-step explanation:
Answer:
option D
Step-by-step explanation:
the formula for slope is: y = mx + b
where m = slope & b = y intercept
so in y = -2x + 1,
m (slope) = -2 & b (y-int) = (0,1)
I need help ASAP!!Please explain how to do the problem
Answer:
The first option, (x-3)^2 + (y+4)^2 = 1
Step-by-step explanation:
The circle formula for graphing is (x-h)^2 + (y-v)^2 = r^2 with the center of the circle being (h,v) and the radius being r. With that said, we just plug in the values we see on the graph, which is h = 3, v = -4, and r = 1. Once we do some simplifying, we would get the equation of (x-3)^2 + (y+4)^2 = 1, which is the first option!
I hope this helped! :D
antara berikut yang manakah faktor perdana bagi 28 A.1 B.4 C.2 D.28
Answer:
C.2
Step-by-step explanation:
Faktor perdana adalah faktor numbor² bagi sesuatu nombor yang juga merupakan nombor perdana.
Faktor nombor 28 adalah 1 ,2, 4 , 7 ,14 dan 28.
Dalam list nombor perdana ini hanya 2 dan 7 merupakan nombor perdana. Maka , jawapan soalan ini adalah 2.
Translate the following into an algebraic expression:
The number that is 75% of one less than a number n.
Answer:
X = 0.75 ( 1- n )
Step-by-step explanation:
let X = the number one less than n gives (1-n)
75% of (1-n) = 0.75*(1-n) = 0.75(1-n)
In conclusion: X = 0.75 ( 1- n )
Christa needs to make a painting for art class.
She can only choose two of the eight colors listed
in the table above. What is the probability the two
colors she chooses are green and purple?
An arc length is a fractional part of the
circumference of a circle. The area of a
sector is a fractional part of the area of a
circle
The stained glass circle- head
the window has a 2 -inch wide
frame. The grills divide the
semicircular glass plane into
four congruent regions
Using detailed steps, describe your
solution to the problems below
Your steps should be clear enough so that
any geometry student can complete
them
A. Find the area of the blue region
B. Find the perimeter of the outer window
frame
Answer:
Each of the 4 sectors have an area:
πR²/8 - πr²/8, whereR = 28/2 - 2 = 12 inr = 6/2 = 3 inFind the area:
A = π/8(12² - 3² ≈ 53 in²Outer perimeter of the frame:
P = d + πd/2 =28( 1 + π/2) ≈ 72 inWhat is the underlined sentence mean can someone explain
Step-by-step explanation:
1235
Now when we talk about place values we have ones tens hundreds thousands ten thousands and so on. So when you look at no.1 its place value is ones because 1 is the first value.
So 2 is in tens.
Now the difference of tens and hundreds is tens follows the 2 place value and hundreds the next.
HOPE ITS HELPFUL
Answer:
4544
Step-by-step explanation:
The underlined sentence means that the 2nd and third values must be different, for example
4554 has 5 in the 2nd and 3rd place so cannot be this
4545 and 4544 have 4 and 5 in 2nd/3rd place so this is fine
Since the number is even then it is 4544
Plz help me out with this
Given,
HK is the perpendicular bisector of GJ. So, GK = KJ.GK = 2x + 10KJ = 3x - 15_______________
Find KJ .
_______________
First find the value of x
[tex] \sf \: GK \: = KJ \\\sf 2x + 10 = 3x - 15 \\\sf 2x - 3x = - 15 - 10 \\ \sf - x = - 25 \\ \sf \: - > \boxed{\bf \: x = 25}[/tex]
Now, find the value of KJ.
[tex]\sf3x - 15 \\ \sf= 3(25) - 15 \\ \sf=7 5 - 15 \\ = \boxed{\bf \: 60}[/tex]
-> The value of KJ is 60.
_______________
Hope it helps.
RainbowSalt2222
Answer:
KJ = 60
Step-by-step explanation:
In order to find the length of KJ we must find the value of x
Perpendicular bisectors split lines into two EQUAL parts.
If GJ is bisected then the two parts that make it up are equal to each other.
In other words GK = KJ
If GK = 2x + 10 and KJ = 3x - 15 then
2x + 10 = 3x -15
Solve for x
2x + 10 = 3x -15
Subtract 2x from both sides
10 = x - 15
Add 15 to both sides
x = 25
Now to find KJ we simply plug in the value of x into KJ's given expression
Expression given: 3x - 15
x = 25
KJ = 3(25) - 15
Multiply 3 and 25
KJ = 75 - 15
Subtract
KJ = 60
help asap please. it's for a grade.
Need help ASAP please
Answer:
10
Step-by-step explanation:
1. AB
2 BC
3. CD
4. DE
5. AC
6. B D
7.CE
8.AD
9.BE
10. A E
gordon types 1,972 words in 29 minutes
Gordon types _______ words per minute
PLSSS HELPP ME
Answer:
68 words
Step-by-step explanation:
To find how many words Gordon types per minute :
1972 ÷ 29 = 68 #
If f(x) = 3x^2-2x+4 and g(x) = 5x^2+6x-8, find (f-g)(x)
Answer:
-2x^2-8x+12
Step-by-step explanation:
f(x) = 3x^2-2x+4
g(x) = 5x^2+6x-8
(f-g)(x)= 3x^2-2x+4 -(5x^2+6x-8)
Distribute the minus sign
(f-g)(x)= 3x^2-2x+4 -5x^2-6x+8
Combine like terms
=-2x^2-8x+12
Answer: (f+g)(x)=8x^2+4x-4
Step-by-step explanation:
Is {3,…} a defined set
Answer:
I am odd number my digits add up to 7 i am bigger than 50 and smaller 100
Use the quadratic formula to solve x² + 9x + 10 = 0.
What are the solutions to the equation?
Round irrational solutions to the nearest tenth.
(answer options):
Answer:
The quadratic formula: (-b+-sqrtb^2-4ac)/2a
Plugging in the values of a=1, b=9, and c=10, the roots of the equation are: -7.7 and -1.3.
So, the first option is correct.
Let me know if this helps!
Which of the following characteristics best describes the given function of
f(x) = 2* + 5 ?
A) always increasing, maximum, quadratic function, vertical symmetry
B) always increasing, maximum, exponential function, vertical symmetry
C) always increasing, no maximum or minimum, exponential function, no vertical symmetry
D) always decreasing, maximum, exponential function, vertical symmetry
Answer:
B
Step-by-step explanation:
it is an exponential function
To prepare a chocolate cake, 2 1/4 cups of flour were used. How many grams of flour was used if each cup of flour weighs 120 grams?
write the formula for the area of a triangle, A = 1/2bh in terms of h. Find the height of a triangle when A = 18 in.² and b = 9 in. Please give explanation thank you :)
Answer:
2A/b = h
4 inches = h
Step-by-step explanation:
A = 1/2bh in terms of h
Multiply each side by 2
2A = bh
Divide by b
2A/b = h
Let A = 18 and b = 9
2*18/9 = h
4 = h
[tex]\\ \rm\Rrightarrow A=\dfrac{1}{2}bh[/tex]
[tex]\\ \rm\Rrightarrow bh=2A[/tex]
[tex]\\ \rm\Rrightarrow h=\dfrac{2A}{b}[/tex]
Now
A=18in^2b=9in[tex]\\ \rm\Rrightarrow h=\dfrac{2(18)}{9}[/tex]
[tex]\\ \rm\Rrightarrow h=\dfrac{36}{9}[/tex]
[tex]\\ \rm\Rrightarrow h=4[/tex]
trigonometry help help help help
Answer:
Sorry if you don't understand my HANDWRITING
Answer:
Step-by-step explanation:
Sin ∅ = [tex]\frac{opposite \ side }{hypotenuse}=\frac{7}{25}\\\\[/tex]
Cos ∅ = [tex]\frac{adjacent side}{hypotenuse}=\frac{24}{25}[/tex]
Tan ∅ = [tex]\frac{opposite \ side}{hypotenuse}=\frac{7}{24}[/tex]
Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white
paint to make pink. Gina mixed 4 pints of red paint with 3 pints of white
paint to make pink.
Yesterday, Gina again mixed red and white paint and made the same
amount of paint, but she used one more pint of red paint than she
used last week. Predict how the new paint color will compare to the
paint she mixed last week.
Answer:
Step-by-step explanation:
First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.
Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio
Second music is redder than first mix.
