Answer:
The answer should be A. [tex]x \in (-\infty,\, 2)[/tex].
Step-by-step explanation:
Start with the second inequality, which is more straightforward than the first. Add [tex]3[/tex] to both sides of this equation to separate [tex]x[/tex] from the numbers:
[tex]x - 3 + 3 \le -1 + 3[/tex]. The direction of the inequality sign shall stay the same.
[tex]x \le 2[/tex].
On the other hand, simplifying the first inequality takes a bit more work. Start by dividing both sides by [tex](-3)[/tex]. However, keep in mind that dividing or multiplying both sides of an inequality with a negative number will invert the direction of the inequality sign. For example, the left-hand side of an inequality might have been greater than the right-hand side. When both sides are multiplied with a number less than zero, the new left-hand side would become smaller than the new right-hand side.
Because [tex](-3)\![/tex] is a negative number, dividing both sides of the first inequality inequality by [tex](-3)[/tex] will turn the "greater-than" sign into a "less-than" sign.
The inequality used to be:
[tex]-3\, (x + 2) > 15[/tex].
After dividing both sides by the negative number [tex](-3)[/tex], it becomes:
[tex]\displaystyle \frac{(-3)\, (x + 2 )}{(-3)} < \frac{15}{(-3)}[/tex].
[tex]\displaystyle (x + 2) < -5[/tex].
[tex]x < -7[/tex].
The question connected the two original inequalities with "or". Therefore, the conditions will be satisfied as long as either of at least one of the two inequalities is true. Note, that [tex]x < 2[/tex] is true whenever [tex]x <-7[/tex] is true. Therefore, any real number that is smaller than [tex]2[/tex] will meet the requirements- not just those that are smaller than [tex](-7)[/tex].
The corresponding interval will be [tex](-\infty,\, 2)[/tex].
please help me plllsssss
1, 3n=8.
2, 1/4n=5.
3, n+4=9.
4, n-6=7.
5, n/3=8.
6, 5n=18.
7, n-7=16.
8, 5n=40.
9, n-8=15
10, 4x/3=28
Step-by-step explanation:
Is 80 fluid ounces equals to 11 cups
Answer:
10 US cups
Step-by-step explanation:
depends which cups you have
Answer:
no it is less
Step-by-step explanation:
When reviewing Net Weight Accuracy Logs... (Choose all that apply)
Set number of packages are checked by department per day
Net weight on label to actual net weight compared
Different items are checked and rotated
Net weight checks are
corded
Randomly spot check logs for item net weights and initial next to items
When an individual is reviewing net weight accuracy logs, the important things to do include:
Set number of packages are checked by department per day.Check net weight on label to actual net weight compared.Different items are checked and rotated.Randomly spot check logs for item net weights and initial next to items.What is net weight?Net weight simply means the weight of a product without the addition of the packaging. Net weight is also the weight of the total number of goods that are loaded into a container excluding the weight of the container.
When reviewing net weight accuracy logs, it is important things to set the number of packages that are checked by department per day and check the net weight on label to actual net weight compared. This is to ascertain whether the net weight is correct.
Learn more about net weight on:
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what 5 tymes 5 plus 3 divided my two
Answer:
14
Step-by-step explanation:
(5 x 5 + 3) /2
(25 + 3)/2
28/2
14
Have a great day!!
Please rate and mark brainliest!!!
Cherries cost $5.68 a pound. Will $20 be enough to buy a 4.1-pound bag of cherries? Explain how to determine whether $20 is the correct estimate of the product of $5.68(4.1).
Answer: No
Step-by-step explanation:
Cherries costs $5.68 per pound so to find the price of 4.1 pounds, multiply them both together.
$5.68 x 4.1 lb. = $23.3
It costs about $23.3 to purchase 4.1 pounds so you can not buy it with $20.
Answer:
The $20 estimate is too low. $5.68 was incorrectly rounded down; it should have been rounded up to $6. The correct estimate should have been $24, so $20 will not be enough to buy 4.1 pounds of cherries
Step-by-step explanation:
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)
Answer:
(x, y) → (x – 3, y + 5)
Step-by-step explanation:
If you move up or down, it affects the y coordinate and going up is positive so 5 units up is y + 5 and if moving left or right affects the x coordinate and moving left is negative so x - 3
"5 units up" would be "5 added to the current y-value".
"3 units to the left" would be "3 subtracted from the current x-value".
So, the translation rule is: (x, y) → (x – 3, y + 5)
~Lenvy~
You were 20 inches tall at birth, and 65 inches tall on your 10th birthday. Create a linear equation to
represent this situation. According to your equation, how tall will you be at age 20?
show all the workings
Answer:
[tex]y=4.5t+20\\\\t=20\\y=4.5*20+20\\y=90+20\\y=110[/tex]
Step-by-step explanation:
So when t=0 in the first equation y=20 which is the length as you are just born. How I calculate 4.5 is that I assume:
y=xt+20
for t=10 we have y=65
65=10x+20
10x=45
x=4.5
the equation becomes y=4.5t+20.
How do you do this question?
Step-by-step explanation:
aₙ = ⁿ√(3⁸⁺³ⁿ)
aₙ = (3⁸⁺³ⁿ)^(¹/ₙ)
aₙ = 3^(8/n + 3)
aₙ = 3^(8/n) 3^3
aₙ = 27 · 3^(8/n)
lim(n→∞) aₙ
lim(n→∞) 27 · 3^(8/n)
27 · 3^(8/∞)
27 · 3⁰
27
Which decimal number is NOT between the two decimal numbers on the
number line?
6.
0.542
0.611
A
0.54
B
0.6
с
0.604
Answer:
A, .54
Step-by-step explanation:
The number line ranges from .542 up until .611, giving you three options below. For .6, it can be translated into .600 which is in bounds of the number line. Next for .604, it is still in bounds of the number line. For .54 it would be translated to .540 which is not in bounds, being before .542.
ILL GIVE YOU ALL MY POINTS FOR THIS EASY QUESTION!!!!!!
Solve the formula for the red variable.
The Surface Area of Cylinder:
Red Varible: h
[tex]S=2\pi \:r^2+2\pi rh[/tex]
Answer:
h = (S- 2πr²)/(2πr)Step-by-step explanation:
Given
Formula S = 2πr² + 2πrhSolve for h
S = 2πr² + 2πrh2πrh = S - 2πr²h = (S- 2πr²)/(2πr)Question 10 of 10
Which method for calculating a credit card balance takes into account both
the purchases and the payments made during the current billing cycle?
A. Subsequent Balance Method
B. Previous Balance Method
C. Average Daily Balance Method
D. Adjusted Balance Method
Answer:
The Adjusted Balance Method
Step-by-step explanation:
The Adjusted Balance method calculates finance charges on monies owed at the end of the billing cycle after all transactions, including debits and credits have been posted to the account which include both the purchase and the payment made during the billing cycle.
It usually results in lower finance costs for the consumer because interest is calculated on the final amount instead of day to day.
What is 3x + 4 (−x − 5) when x = 5?
A −25
B −10
C 15
D 55
Answer:
A. -25
Step-by-step explanation:
3x + 4 (-x - 5)
3x + 4 (-10)
15+4(-10)
15 + (-40)= -25
Rewrite the equation C = 18.49q + 28,164 as a function of q.
Answer:
Q=C-28164/18.49
Step-by-step explanation:
Q=C-28164/18.49
Subtract the following fractions. (Reduce answers to lowest terms.)
3/10 - 1/4
What is the sign of y.
0
Choose 1 answer:
Positive
Negative
Zero
Answer:
Negative.
Any negative number times a positive is always negative.
There are 4 adults chaperones for every 15 students who attend a school field trip. If there are 135 students, how many adults would be there on the field trip.
Answer:13
Step-by-step explanation:pretty sure u divide 135 by 15
4 markers cost $7.04. (The photo didn’t load up the first time when I asked the question. It’s a writing proportion question)
9514 1404 393
Answer:
4/7 = $7.04/x
Step-by-step explanation:
You can write the proportion 4 different ways. Any way you write it, you want markers in corresponding positions and prices in corresponding positions.
Here the best choice is ...
(reference quantity)/(different quantity) = (reference price)/(different price)
4/7 = $7.04/x
__
Additional comment
Many people might choose to put the unknown in the numerator:
x/$7.04 = 7/4
or
x/7 = $7.04/4
Answer: None of the above
Step-by-step explanation:
The easiest way to get the cost is to get the cost per unit times the number needed.
x = 7($7.04/4 ) To make that into a proportion it would look like
x/7 = $7.04/4
[tex]\frac{x}{7} =\frac{7.04}{4}[/tex]
None of the answers given match that
Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
QUICKLY PLEASE
Answer:
x = 4
Step-by-step explanation:
y = - 2 is the equation of a horizontal line parallel to the x- axis.
A perpendicular line is therefore a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 2 ) with x- coordinate 4 , thus
x = 4 ← equation of perpendicular line
pls help i appreciate it!
3 3/4
Step-by-step explanation:
Minus a half on both sides to get h on it's own
3x4 +1=13
13/4 + 1/2
Multiply 1/2 by 2 to get 2/4 & add the top only
13+2=15
So, we've got 15/4, simplify to get 3 whole number and 3/4.
3 3/4
Hope this helps!
Can someone help me please??
Please please help me!!!!!
Answer:
x=80
Step-by-step explanation:
This is really simple especially since you have a right triangle, you can easily determine x using trigonometry.
The cosine of an angle in a right triangle is defined by it's adjacent side divided by the hypotenuse.
[tex] \cos(50) = \frac{51}{x} [/tex]
The angle in question is 50, the hypotenuse is the side facing the 90° angle and the adjacent side is the one next to it.
By cross multiplication i can rewrite this as:
[tex]x = \frac{51}{ \cos(50) } [/tex]
[tex]x = \frac{51}{0.64278} [/tex]
[tex]x = 79.34[/tex]
Round to the nearest ten
[tex]x = 80[/tex]
Which statement is true about y = arctanx?
The domain is (-pi/2,pi/2)
The range is all real numbers.
The graph contains vertical asymptotes.
The graph is symmetric about the origin.
Answer:
D. The graph is symmetric about the origin.
Step-by-step explanation:
got it right on edge :)
The correct option is Option D: The graph is symmetric about origin.
What is the arctan function?The function f(x) = arctan x is the inverse of tangent function y=tanx.
Checking all the options
Option A: This option is incorrect as the domain of arctan x is real number R i.e. (-∞,∞). arctan x is valid for all values of x between -∞ to ∞.
Option B: This option is incorrect as the range of the function arctan x is (-π/2, π/2) which is the restricted domain of the tan x.
Option C: This option is incorrect as the graph is continuous in R and also bounded in (-π/2, π/2) so it has no vertical asymptotes. But tan x has vertical asymptotes.
Option D: This option is correct as from the graph it is also clear that this function arctan x is symmetric about the origin. Also, function arctan x is an odd function. As odd functions are symmetric about origin, arctan x is symmetric about the origin.
Therefore The correct option is Option D: The graph is symmetric about origin.
Learn more about arctan x
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what is the missing number 5/9 = 10/
Answer:
10/18Step-by-step explanation:
5/9 = 10/18 because...
5 times 2 = 10
9 times 2 = 18
Hope this helps! <3
Answer:
what the other dude said.
Step-by-step explanation:
there are 2 calculator on each desk and there are 12 extra calculator in supply cabinet
Answer: There are 14 calculators in total
Step-by-step explanation:
In art class, Ernest is attaching strings to puppets to make marionettes. For each puppet, he
ties 6 inches of string to the head and 9 inches of string to each of the 2 arms. If he has a
total of 5 puppets, how many feet of string does he use in all?
feet
Answer:
he will use 10 each for the feet
Write an algebraic expression for the word expression. the sum of 8 and a number x The expression is
Answer:
8 + X
Step-by-step explanation:
Ken is making trail mix for his next hiking club meeting. He mixes 2 pounds of peanuts, 2
pounds of raisins, and 1 pound of chocolate chips. His little sister begs him for a snack, so he
gives her 5 ounces of the trail mix. Then, he portions out the rest for his meeting. If Ken
splits the remaining trail mix evenly among 25 snack bags, how many ounces of trail mix will
each bag have?
ounces
Answer:
3 ounces of trail mix per bag
Step-by-step explanation:
1 pound = 16 ounces
2 pounds of peanuts
2 pounds of raisins
+ 1 pound of chocolate chips
= 5 pounds of trail mix
[tex]5(16) = 80[/tex]
5 pounds = 80 ounces of trail mix
80 - 5 (for Ken's sister) = 75 ounces
75 ÷ 25 = 3 ounces
Hope this helps~!
29 characters here you go
The Correct choice is ~
[tex]y = - 3x - 1[/tex]
Well, I will explain it if you want but I'm in hurry, so please bear with it ! but I assure you that the answer is correct !
Answer:
[tex]\mathsf{y=-3x-1}[/tex]
Step-by-step explanation:
[tex]\mathsf{(x_1,y_1)=(-1,2)}\\\\\mathsf{(x_2,y_2)=(1,-4)}[/tex]
[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-2}{1+1}=-3}[/tex]
[tex]\mathsf{y-y_1=m(x-x_1)}[/tex]
[tex]\mathsf{y-2=-3(x+1)}[/tex]
[tex]\mathsf{y=-3x-1}[/tex]
You are ordering some video games online. They each cost $30. You got $75 for your
birthday to spend on these games. If you will be charged $10 for shipping and handling, how
many video games will you be able to purchase?
Answer:
2
Step-by-step explanation:
you have $75
each game cost $30 plus $10 for shipping and handling
let x represent number of video games
30x+10=75
30x=65
x=2.5
So you can only purchase two games with the money you have
Hannah was getting ready for a party. It took her 24 minutes to pack her toys to bring and 16 minutes to have lunch. If she was ready to leave at 4:42 p.m., what time did she start getting ready? (4 points)
a
3:02 p.m.
b
4:02 p.m.
c
4:12 p.m.
d
5:12 p.m.
Answer:
b. 4:02 p.m.
Step-by-step explanation:
24 + 16 = 40
4:42 - 40 minutes = 4:02
Answer:
4:02
Step-by-step explanation:
Because add 24 + 16 = 40 and then subtract 40 from 42 and then get your answer.