Graph the solution to this inequality on the number line.
0.3(x − 4) > -0.3
Answer:
Please refer to the attached image in the answer area.
Step-by-step explanation:
The given inequality is:
[tex]0.3(x -4) > -0.3[/tex]
To find:
The graph of inequality on the number line.
Solution:
First of all, let us simplify the inequality.
[tex]0.3(x -4) > -0.3[/tex]
Dividing it with 0.3 on the both sides:
[tex]x -4 > -1\\\text{Adding 4 on both sides}\\\Rightarrow x > 3[/tex]
i.e. all the values x > 3 will be our solution. There is no equal sign in the inequality so 3 will not be included in the solution.
Please refer to the attached image for the solution graph of the given inequality.
3 has an empty circle drawn over it which signifies that 3 is not included in the solution set.
Red line shows that all the values greater than 3 are included in the solution.
You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur. How many different routes are possible?
Answer:
i think maybe 5 routs or 7
Step-by-step explanation:
there are diffrent ways to get to rides
There are total 120 possible routes available.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the selection does not matter.
Given that, You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur.
Since, there are 5 five ride, so possible rides = 5!
= 5x4x3x2x1
= 120
Hence, There are total 120 possible routes available.
For more references on combinations, click;
https://brainly.com/question/19692242
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Four times the difference of 17 and a number is 84.
Which equation below can be used to find the unknown number?
A) 4(17)- n = 84
B) 4 - 17n = 84
C) 17 - 4n = 84
D) 4 (17- n) = 84
Answer:
D)
Step-by-step explanation:
a number: n
difference of 17 and a number: 17 - n
4 times the difference of 17 and a number: 4(17 - n)
4 times the difference of 17 and a number is 84: 4(17 - n) = 84
Write an equation for each translation of y
|x1.
2.5 units left
Answer:
Step-by-step explanation:
the translation of y = |x| 2.5 units to the left is:
y = |x+2.5|
Can anyone please explain
what a function mean? (in maths:graph,etc) i haven't learnt this but it might be useful for future references
Answer:
For example, the position of a planet is a function of time. ... A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.
Step-by-step explanation:
Select the correct answer.
Use the power of a product property to answer the question.
Which expression equals (
Answer:
7^1/3 * y^1/3
Step-by-step explanation:
(7y) ^ 1/3
We know that (ab) ^c = a^c * b^c
7^1/3 * y^1/3
Answer:
7^1/3 * y^1/3
Step-by-step explanation:
7^1/3 * y^1/3
cydus
How many solutions doos the equation 4+4x - 3=4x +5 have?
Answer:
No solutions
Step-by-step explanation:
4 + 4x - 3 = 4x + 5
4x + 1 = 4x + 5
Add -4x and -1 on both sides.
4x - 4x = 5 - 1
0 = 4
There are no solutions.
Help!!!! please!!!!!
Answer:
40cm²
Step-by-step explanation:
The lateral area is the sum of the faces's area
let La be the lateral area
La= 4*5*2= 20*2= 40 cm²
What is the next number in the pattern below? 3, 5, 9, 15, 23, ___ A. 31 B. 33 C. 35 D. 37
Answer:
33. numbers are being increased by a certain number, that number being increased by 2 every time
Step-by-step explanation:
A line containing the points (9, 1) and (5, 5) intersects the x -axis at what point?
Answer:
It intersects the x-axis at x = 10
Step-by-step explanation:
Step 1: Find slope m
m = (5 - 1)/(5 - 9)
m = 4/-4
m = -1
y = -x + b
Step 2: Find b
5 = -5 + b
b = 10
Step 3: Rewrite equation
y = -x + 10
Step 4: Find x when y = 0
0 = -x + 10
-10 = -x
x = 10
So the graph crosses the x-axis at 10.
PLLLLLLLLLLEEEEEEEEAAAAAAAASSSSSSSSSSEEEEEEE HELP ME Tracy has forgotten how to complete the square. (A) Give her a detailed description of the process so she can understand how to do it. (B) and provide an example of each.
Answer:
in an equation ax^2+bx+c to complete the square it turns to
a(x+d)^2+e where d=b/2a and e=c-b^2/4a
example:x^2+4x+1=0
complete the square:
d=b/2a=4/2(1)=2
e=c-b^2/4a=1-4^2/4(1)
e=1-16/4=-3
a(x+d)^2+e
1(x+2)^2-3=0
check if it is rigt: (x+2)^2=x^2+4x+4
x^2+4x+4-3=
x^2+4x+1 it is correct
Which of these are a trinomial?
Answer:
D
Step-by-step explanation:
HELP NOW PLZ 20 POINTS FOR BRAINLIEST Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant! (Recall: Standard Form of a quadratic equation is Ax^2 + Bx + C ). You need to choose a value for A, B, and C that satisfies each of the following conditions. You can use a value of 0 for B for no more than 1 of the 5 questions! Step 2: Solve each of the equations you create. YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT FOR THIS STEP! Write your Exact answer in simplest form AND if necessary, round your estimate to the nearest tenth. 1) Equation 1 should represent a parabola that opens up and has a negative y-intercept. Equation 1: ____________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 2) Equation 2 should represent a parabola that opens down and has a negative y- intercept. Equation 2:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 3) Equation 3 should represent a parabola that is a vertical stretch of the parent function and has a y-intercept greater than 3 and opens down. Equation 3:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 4) Equation 4: You decide what type of parabola you would like to create by answer the following questions: Does your parabola open up or down? _______________ Is there a vertical stretch or vertical compression? _______ What is the y-intercept? __________ Equation 4: ____________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 5) Write a quadratic equation that can only be solved using the quadratic formula. Equation 4: _________________________________________________________________ Show your work for how you use the quadratic formula to solve this equation:
Step-by-step explanation:
Equation 1: [tex]3x^{2} +7x-6[/tex]
Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant.
Conditons that need to be satisfied: B can be 0 in only one question, parabola should open up and have a negative y intercept.
1. The parabola should open upwards: a> 0
2. [tex]3x^2+7x-6[/tex] (a>0), y-int is negative (0s for x's)
3(0)^2 + 7(0) -6
y= -6
Step 2:
1. Factor the original equation: (3x-2)(x+3)
x=2/3, -3
2. Strategy used (factor by grouping)
Equation 2: -[tex]x^{2}[/tex] + 3x - 6
Equation 2 should represent a parabola that opens down and has a negative y-intercept.
Parabola that opens down = a<0
Ax^2 + Bx + C
-[tex]x^{2}[/tex] + 3x - 6
Negative y-intercept: -(0)^2 +3(0) -6 = y= -6
Strategy to solve: Quadratic formula
Why? - This equation doesn't factor cleanly.
Show your work:
a= -1 b= 3 c= -6
Write the quadratic formula down ([tex]x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]) ± not just +
Show step, solve.
x= 1.5 + 1.9365i
Equation 3:
Sorry, I can't do this.
Equation 4 :[tex]x^{2} -1[/tex]
You decide.
Alright, easy parabola.
1. Does parabola open up or down. UP
2. Is there a vertical stretch or compression? NO
3. What is the y-intercept- (0,-1)
[tex]x^{2} -1[/tex]
Strategy: Simple factoring patterns (Difference of squares) -
(x+1)(x-1)
x = + 1
Show work: x^2 is square of x,
Equation 5: [tex]x^{2} -3x+15[/tex]
x^2−3x+15
a=1 b= -3 c=15
([tex]x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]) ± not just +
Good luck! Sorry that I couldn't do equation 3, vertical stretches are not my thing.
the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1
4(1 - 6)2
25 + 1
(41 – 6)
2(1 + 1)
413 - 6
2(1 + 1)
(41 - 6)
21 + 1
Answer:
[tex]\dfrac{(4x-6)^3}{2}(x+1)[/tex]
Step-by-step explanation:
Maybe you want your verbiage written as a mathematical expression.
"the difference of 4 times x and 6" is (4x -6). "the sum of x and 1" is (x+1).
No other grouping is indicated, so we have ...
[tex]\boxed{\dfrac{(4x-6)^3}{2}(x+1)}[/tex]
at the end of the football season
Answer:
WHAT?
Step-by-step explanation:
VGTFTUNJMKL
Answer:
Fat monkey
Step-by-step explanation:
What ?
Please help urgently
Answer:
203.5Solution,
Onions less than 60 grams = 2 --> Pickling
Onions greater than 120 grams = 5 + 3 = 8 --> Market
Onions between 60 and 120 = 13---> Processing
Total frequency = 2 + 8 + 13 = 23
Now,
[tex]x = \frac{13}{23} \times 360[/tex]
[tex]x = 203.48[/tex]
[tex]x = 203.5[/tex]
Hope this helps ..
Good luck on your assignment...
Answer:
x=190°
Step-by-step explanation:
find the frequency of the given numbers dividing by their numbers
onions less than 60g=(2+2/2)=²/9
onions greater than 120g=(5+3/2)= 4 (4+3/2). =3.5/9
To convert into degrees so that they can fit in the bar graph multiply the frequencies by 360 that is:
picking=²/9×360=80°
market=3.5/9×360=90°
x=360°-90°-80°
x=190°
confirmation
pie chart° add up to 360°
picking=80°
market=90°
x=190°
190°+80°+90°=360°
Proofs are used to show that a mathematical statement is true. The most common form of mathematical statements are if-then statements. Give an example of a true mathematical statement and a false mathematical statement in if-then form. For the false statement, include a counterexample showing that the statement isn't true.
Answer:
See explanation
Step-by-step explanation:
True Mathematical Statement
[tex]\text{If }\sqrt{x}=a$ and \sqrt{y}=b,$ then \sqrt{xy}=ab[/tex]
False Mathematical Statement
[tex]\text{If }\sqrt{x}=a$ and \sqrt{y}=b,$ then \sqrt{x+y}=a+b[/tex]
To show using a counterexample that the statement isn't true.
[tex]\text{Let x}=16\\\text{Let y}=9\\\sqrt{16}=4\\\sqrt{9}=3\\\sqrt{16+9}=\sqrt{25}=5\\a+b=3+4=7\\5\neq 7[/tex]
Therefore, the mathematical statement is false.
Can someone help me with this question please?
Answer:
In the Business class section not flying for first time is 13
Business class and flying first time is 7
Not in Business class and flying first time is 49
98 that are not first time or business class
Probability is 20/167. I hope this is right and helps!
Tom brown decided to purchase a new bike on an installment loan.The bike was $300.00He agreed to pay $30 a month for 12 months . What is the finance charge in dollars
Answer:
The answer is $60. $30 × 12 = $360 – $300 = $60.
Step-by-step explanation:
3) What is the difference? 7,840 - 4,971*
0 2,769
0 2,869
0 2,879
0 2,969
Answer:
2869
Step-by-step explanation:
7,840 - 4,971
Subtract.
= 2869
Answer:
0 2,869
hopefully this helped :3
Question 4 Multiple Choice Worth 2 points
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
XY
3
4
5
67
89
O Initial value: 1, rate of change: 2
O Initial value: 1, rate of change: 1
O Initial value: 2, rate of change: 2
O Initial value: 3, rate of change: 2
action
what is the sum of all possible multiples of 5 less than 500
Answer:
We need to find 5 + 10 + 15 + ... + 485 + 490 + 495. There are 99 numbers that are being added. To add this we can do 5 + 495, 10 + 490, 15 + 485 and so on. These pairs have a sum of 500 and since there are 98 / 2 = 49 pairs their sum is 500 * 49 = 24500. Since there is an odd number of numbers that are being added, there is one number that does not belong to a pair. That number is the 50th number in the list which is 50 * 5 = 250. Therefore the answer is 24500 + 250 = 24750.
Which of the following is equivalent to (x+4)(3x^2+2x)?
Answer:
C
Step-by-step explanation:
When expanding brackets, we distribute the left terms inside the right side brackets.
(x+4)(3x^2+2x)
(x + 4)(3x²) + (x + 4)(2x)
The reason why it is + (x + 4) is because the x has a positive sign.
please help i will give out brainliest
answer on image attached. pls give brainliest :)
An interval estimate for the weight of a species of primates is (12, 15) kg. Find the point estimate for the species
of primates.
Answer:
12 + 15= 27/2 = 13.5 kg
Step-by-step explanation:
3/5 times by 210 equals
Answer:
it equals 315
Step-by-step explanation:
PLEASE HELP!! will give brainliest!!
Answer:
Reason 2 : Vertical opposite angles.
Reason 3 : Vertical opposite angles.
Reason 4 : Using statement 1 and 3.
Reason 5 : Using statement 1 and 2.
Reason 6 : AA property of similarity.
Step-by-step explanation:
Statement 1 : and .
Reason 1 : Given
Statement 2 :
Reason 2 : Vertical opposite angles.
Statement 3 : [tex]\angle GEF\cong \angle DEC[/tex]
Reason 3 : Vertical opposite angles.
Statement 4 : [tex]\angle ABC\cong \angle GEF[/tex]
Reason 4 : Using statement 1 and 3.
Statement 5 : [tex]\angle ACB\cong \angle GFE[/tex]
Reason 5 : Using statement 1 and 2.
Statement 6 : [tex]\triangle ABC\cong \triangle GEF[/tex]
Reason 6 : AA property of similarity.
Hence proved.
Which of these tables represents a function
Answer:
Z.
Step-by-step explanation:
A function must pass the Vertical Line Test. No 2 y-values can have the same x-values. Since the first 3 graphs fail to pass the vertical line test, our answer is Z.
please help me! Bethany incorrectly simplified the following expression: (4 x 10^11) (3 x 10^-14) + 0.000005 Which of Bethany’s steps show an error based solely on her previous step? Choose all that apply: A. Step one: (4 x 10^11) (3 x 10^-14) + (5 x 10^-5) B. Step two: (12 x 10^-3) + (5 x 10^-5) C. Step three: (120 x 10^-4) + (5 x 10^-5) D. Step four: (120 x 10^-4) + (50 x 10^-4) E. Step five: 170 x 10^-8 F. Step six: 1.7 x 10^-6
Answer:
Below.
Step-by-step explanation:
Step 1: it is 5 x 10^-6 not 5 x 10^-5.
Step 5 : the result of the addition is 170 x 10^-4 not 170 x 10^-8.
Answer: yes that is correct explanation:
Division by 0 is defined
Answer:
This is false because any number divided by 0 is undefined.