Answers
Answer: Choice D) [tex]x \ge -6[/tex]
=========================================================
Explanation:
Taking the square root of a negative number leads to a nonreal result.
So we want the radicand to be 0 or positive
Set the stuff under the square root to be 0 or larger. Solve for x.
[tex]\frac{1}{3}x+2 \ge 0\\\\\frac{1}{3}x \ge 0-2\\\\\frac{1}{3}x \ge -2\\\\x \ge 3(-2)\\\\x \ge -6[/tex]
If x is -6 or larger, then [tex]\frac{1}{3}x+2[/tex] is 0 or larger leading to some real number for f(x).
The inequality sign does not flip because we multiplied both sides by a positive number. The inequality sign only flips when we multiply both sides by a negative number.
Related Questions
Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.
How many minutes will she need to finish labeling all books if she takes no breaks and labels 10 books a minute
Answers
Answer:
75 minutes
Step-by-step explanation: 750 divided by 10 is 75
7500 minutes or 125 hours..
Rick weighs 200.56 pounds. He began following a diet and knocked off a few pounds over a period of four months. His sister weighs 93.11 pounds. If Rick is double his sister’s weight at the end of the four month period, how many pounds did he lose?
Answers
Answer:14.34 lbs
Step-by-step explanation:93.11x2=186.22 then you take 200.56 and subtract 186.22 from it leaving you with your answer.
5 - (2x- 3) =-8 + 2x
Answers
Answer:
x=4
Happy I could help
What’s the answer 3x²=-54X-231
Answers
What is the range of y = x2 – 1, given a domain of {-2,-1,0, 1, 2}?
A. R:{-5, -2, -1,0.3)
B. R: -1
O
C. R:y > -1
OD. R:{-1,0,3}
Answers
Answer:
D
Step-by-step explanation:
Basically, what the question is asking you to do is plug in each of the domain numbers (because domain represents X) and solve for y. Btw, after plugging in each domain to separate equations, if you end up with two numbers being the exact same, you only need to put one of them, hence why there are only 3 numbers in this answer. Hope with helps, any questions just ask me.
Rachel finished a meal at a diner and received a bill for $10.99. She charged the bill along with a 15 percent gratuity to her credit card. What is the total amount she charged to her credit card? Round to the nearest cent if necessary.
$11.14
$12.64
$13.19
$13.73
Answers
Answer:
12.64 B
Step-by-step explanation:
a car is traveling at 30 mi/hour . what is the cars speed in feet per second
Answers
Answer:
30 Miles Per Hour to Feet Per Second = 44.
I hope this helps!
Answer: About 44 ft. per second if I did it correctly
Step-by-step explanation:
Factorise m^3+m
Factorise 25-y^2
Factorise x^2+3x-28
Answers
Answer:
1. m³ + m
= m( m² + 1) [ a² + b²]
= (a-b)² + 2ab
= m { (m –1)² + 2× m × 1 }
= m { ( m–1)² + 2m}
2. 25 – y² [ a² – b²]
= 5² – y²
= (5+y) (5–y)
3. x² + 3x –28 [ middle term factorisation]
= x² + 7x –4x –28
= x( x +7) –4 ( x + 7 )
= ( x–4) (x+7)
➊ Factorise :- [tex]\sf{m^{3} + m}[/tex]
Solution :-
[tex]→ \ \ \sf\purple{m^{3} + m}[/tex]
Factor out m from the expression[tex]→\:\:\bf\red{ m \times (m^{2} + 1)}[/tex]
______________________➋ Factorise :- [tex]\sf{25-y^{2}}[/tex]
Solution :-
[tex]→\:\:\sf\purple{25-y^{2}}[/tex]
Write the number in the exponential form with an exponent of 2[tex]→\:\:\sf\green{5^{2} - y^{2}}[/tex]
Using a²-b² = (a-b)(a+b), factor the expression[tex]→\:\:\bf\red{(5-y)\times (5+y)}[/tex]
______________________➌ Factorise :- [tex]\sf{x^{2}+3x - 28}[/tex]
Solution :-
[tex]→\:\:\sf\purple{x^{2}+3x - 28}[/tex]
Rewrite 3x as a difference[tex]→\:\:\sf\green{x^{2}+7x-4x-28}[/tex]
Factor the expressions[tex]→\:\:\sf\orange{x \times (x +7) -4 (x+7)}[/tex]
Factor out x + 7 from the expression[tex]→\:\:\bf\red{(x + 7)\times (x - 4)}[/tex]
Who will able to solve the question fast, I will mark, him/ his as the brainliest -
In the angle PQR and angle DEF, PQ = DE, QR = EF and < PQR = < DEF, prove that angle PQR is congruent to angle DEF.
Answers
Answer:how do I add questions
Step-by-step explanation:
Answer for brainliest
A proper fraction never has the same value as a mixed number.
True False
Answers
∆ is shown below. Find the ∠.
Answers
Answer:
A acute angle
Step-by-step explanation:
HELP ASAP PLEASE CHECK IT OUTTTTTT ILL MARK YOU BRAINLIEST
Use the equation to complete the table
y=2x+5
X: -2 : -1 : 0 : 1 : 2
Y: ? : ? : ? : ?
What is the slope [ ] and y-intercept [ ]of the equation?
Answers
I need help with these problems
Answers
Answer:
A, C, D
Step-by-step explanation:
Write the converse and inverse and contrapositive for the statement if the ball is red then it will bounce higher?
Answers
Answer:
Converse: If the ball bounces higher then it is red
Inverse: If the ball isn't red, then it won't bounce higher
Contrapositive: If the ball doesn't bounce high then it isn't red
Step-by-step explanation:
Which equation represents the vertical line passing through (7,-3)?
Answers
Answer:
x = 7
Step-by-step explanation:
The equation of a vertical line has equation of the form
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (7, - 3) with x- coordinate 7 , thus
x = 7 ← equation of vertical line
The seats in a small concert hall are divided into sections A and B. Section A tickets are $16, while section B tickets are $10. If 125 tickets are sold for a total of $1986, how many seats in each section are sold?
Answers
Answer:
76.3846153846
I’ll Mark u BRILLIANT PLEASE HURRY the farmers’ market, heirloom tomatoes are sold by the pound. This graph shows the relationship between p, the weight of the tomatoes in pounds, and c, the total charge for those tomatoes.
Which of the following statements is true about this relationship?
A. The total charge for the tomatoes is proportional to the number of pounds of tomatoes purchased.
B. The total charge for the tomatoes is not proportional to the number of pounds of tomatoes purchased.
C. The total charge for the tomatoes has a nonlinear relationship to the number of pounds of tomatoes purchased.
D. The total charge for the tomatoes has no relationship to the number of pounds of tomato
Answers
Hope this helps:)
−4y−4+(−3) Please Help Brainlyest will be awarded
Answers
Answer: -4y - 1
Step-by-step explanation:
First you have to add 4 and -3 which equals 1 and since we cannot add -4y to the problem it with stay as -4y - 1
If you want to simplify, then the answer is -4y -7
Because -4 + (-3) means -4 -3 = -7
-4y -7
el valor que falta en la ecuacion 3+×=10
Answers
x = 10 -3
x = 7
Which image shows geometric shapes?
Image 1
Image 2
image 3
Image 4
A image 1
OB.image 2
OC image 3
OD. Image 4
Answers
Answer:
Image 1
Step-by-step explanation:
easy
Answer:
Image 1
Step-by-step explanation
I need help with Geometry!!!!
Answers
Answer:
COB and AOD
Step-by-step explanation:
Reminder: vertical angles are pairs of opposite angles that is made from intersecting 2 line/line segment.
In this case, to find pairs of opposite angles, you would look at angles that share a center but do not share a line segment.
If you check all of these, it's clear that COB and AOD is the only valid answer.
If you were to use 22oz of milk ,how much milk would u need?
Answers
Answer:
This is downright confusing. We need more material or more descriptive text to give an answer.
Step-by-step explanation:
Which system of inequalities with a solution point is represented by the graph?
y > 2x – 2 and y 2x – 2 and y 2x + 2 and y 2x + 2 and y < Negative one-halfx + 1; (–3, 1)
Answers
Answer:
d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
square root of 50 simplified
Answers
Answer:
[tex]\sqrt{50}[/tex] = 7.05
Hope this helped love <3
Answer:
5i square root 2
Step-by-step explanation:
answer on edg 2020
Jill Say that 23/1000 can be written as 0.23 which explain whether or not Jill is correct
Answers
Answer:
No, Jill is incorrect because 23/1000 and 0.23 are not equivalent. But 23/100 is equivalent to 0.23 and 0.023 is equivalent 23/1000
Answer:
wrong
Step-by-step explanation:
0.23 would only work if it was 23/100 this one is 23/1000 so it is 0.023
SegmentAB≅SegmentCD. AC = 6x-12 , BC = 4, and CD = 3x-2. Find AB and CD. (Geometry Proof)
Answers
Answer/Step-by-step explanation:
Given:
AC = 6x - 12
BC = 4
CD = 3x - 2
Required:
Determine length of AB and CD.
SOLUTION:
AC - BC = AB
(6x - 12) - 4 = AB (Substitution)
6x - 12 - 4 = AB
6x - 16 = AB
Since AB ≅ CD, therefore,
AB = CD
6x - 16 = 3x - 2 (Substitution)
Combine like terms
6x - 3x = 16 - 2
3x = 14
Divide both sides by 3
x = 4.7
Find AB
6x - 16 = AB
Plug in the value of x
6(4.7) - 16 = AB
28.2 - 16 = AB
12.2 = AB
Find CD
CD = 3x - 2
Plug in the value of x
CD = 3(4.7) - 2
CD = 14.1 - 2
CD = 12.1
pls help I'm failing
Answers
Answer:
graph Number three is correct
I believe that it would be the fourth answer, as a closed circle represents greater than/ less than or equal to.
What is the product of −212 and −313?
−813
−616
616
813
Answers
Answer:
66356
Step-by-step explanation:
Product means multiply but if u meant something else
Answer:
It's 8 1/3.
---------------
I took the test. Also, don't mind the one with the 'X' I got it incorrect but the correct answer is the one with the checkmark.
Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient of that number and 5. 9x − x 5 Eight more than the quotient of twelve and a number n. n 12 + 8 The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number. x(6 − x) + 8 x Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4)
Answers
Step-by-step explanation:
We are to get the expression for the following statements;
1) The difference of nine times a number x and the quotient of that number and 5.
The product of nine and a number x is expressed as;
[tex]=9 \times x\\= 9x[/tex]
The quotient of that number and 5.
[tex]= \frac{x}{5}[/tex]
The difference between both expression;
[tex]9x - \frac{x}{5}[/tex]
Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as [tex]9x - \frac{x}{5}[/tex]
2) Eight more than the quotient of twelve and a number n
Quotient of twelve and a number n is expressed as:
[tex]\frac{n}{12}[/tex]
Eight more than the resulting function is;
[tex]\frac{n}{12}+8[/tex]
Hence eight more than the quotient of twelve and a number n is expressed as [tex]\frac{n}{12}+8[/tex]
3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.
Let the number be x:
six minus the number is expressed as;
[tex]6-x[/tex]
product of a number x and the quantity 'six minus the number is;
[tex]x(6-x)[/tex]
quotient of eight and the number is;
[tex]\frac{8}{x}[/tex]
Taking the resulting sum of the last two expression
[tex]x(6-x) + 8x[/tex]
Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;
[tex]x(6-x) + 8x[/tex]
4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).
Let the first even number be 2x
The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2
the sum of three consecutive even integers is expressed as;
[tex]= 2x +(2x+2)+(2x+2+2)\\= 2x+(2x+2)+(2x+4)[/tex]
Answer: 1st , 2nd, and 3rd!
Step-by-step explanation:
if 7 articles cost Rs 875 , how many more articles can be bought with Rs 1875
Answers
Answer:
15
Step-by-step explanation:
7 articles = RS.875
1 article = 875/7=RS.125
RS.1875= ? articles
we know,
RS.1875= 1875/125
=15articles
:15 articles can be bought with RS1875