Answer:
False; the scenario is not possible.
Step-by-step explanation:
This scenario is not possible. I will demonstrate it by representing a number by [tex]x[/tex]. There are two possibilities: [tex]x[/tex] and [tex]-x[/tex]. Let's try both:
[tex]x + |x|[/tex]
[tex]x + x[/tex]
[tex]2x[/tex]
The sum for positive [tex]x[/tex] and its absolute value is not negative. Let's try with the negative value of [tex]x[/tex] now:
[tex]-x +|-x|[/tex]
[tex]-x + x[/tex]
[tex]0[/tex]
The sum for negative [tex]x[/tex] and its absolute value is not negative either, it is zero which is neither negative or positive. Therefor, we can safely say that the scenario described is not possible.
Could someone please walk me through how to solve this?
[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }[/tex]
The area A of the rectangle shown
is described by the inequality
12
compound inequality for x.
8x 3/4
Answer:
There are generally 3 methods to solve inequalities
Step-by-step explanation:
By algebraic method
Example 1: Solve: 2x - 7 < x - 5
2x - x < 7 - 5
x < 2
By the number-line method.
Example 2. Solve
f
(
x
)
=
x
2
+
2
x
−
3
<
0
First, solve f(x) = 0. There are 2 real roots x1 = 1, and x2 = - 3.
Replace x = 0 into f(x). We find f(0) = - 3 < 0. Therefor, the origin O is located inside the solution set.
Answer by interval: (- 3, 1)
--------------------- - 3 ++++++++ 0 ++++ 1 ----------------
3.By graphing method.
Example 2. Solve:
f
(
x
)
=
x
2
+
2
x
−
3
<
0
.
The graph of f(x) is an upward parabola (a > 0), that intersects the x-axis at x1 = 1 and x2 = - 3. Inside the interval (-3, 1), the parabola stays below the x-axis --> f(x) < 0.
Therefor, the solution set is the open interval (-3, 1)
graph{x^2 + 2x - 3 [-10, 10, -5, 5]}
this is distance & midpoint formulas I don’t know how to solve this can anyone help?
Answer:
midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2
distance: √[(x₂ - x₁)² + (y₂ - y₁)²]
Step-by-step explanation:
What points are you trying to calculate the distance and the midpoint for?
simplify 6a+4b+8+3b-4a+9
Answer:
2a+7b+17
Step-by-step explanation:
MATH
Each number is two times three less than the previous number.
A sequence is the pattern or rule that guides the creation of a set. The most common sequence are the arithmetic and the geometric sequence.
A sequence that starts with 0 is: 0, -6, -12, -18.....A sequence that starts with 3 is: 3, -3, -9, -15.....The complete question illustrates that we build a sequence of number.
Let the n term of the sequence be [tex]T_n[/tex].
2 times 3 less than the previous number means:
[tex]T_n = T_{n-1} - 2 \times 3[/tex]
Where:
[tex]T_n \to[/tex] The current number
[tex]T_{n-1} \to[/tex] The previous number
Assume the first number starts with 0, the next numbers will be:
[tex]T_2 = 0 - 2 \times 3 = -6[/tex]
[tex]T_3 = -6 - 2 \times 3 = -12[/tex]
[tex]T_4 = -12 - 2 \times 3 = -18[/tex]
So, the sequence is:
0, -6, -12, -18.....
Assume the first number starts with 3, the next numbers will be:
[tex]T_2 = 3 - 2 \times 3 = -3[/tex]
[tex]T_3 = -3 - 2 \times 3 = -9[/tex]
[tex]T_4 = -9 - 2 \times 3 = -15[/tex]
So, the sequence is:
3, -3, -9, -15.....
Read more about sequence at:
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A car initially traveling at 20 kilometers per hour takes 10 seconds to speed up to 70 km/hour. At what rate is it changing speed?
Convert speeds to m/s
[tex]\\ \rm\longmapsto u=20\times\dfrac{5}{18}=5.05m/s[/tex]
[tex]\\ \rm\longmapsto v=70\times \dfrac{5}{18}=19.4m/s[/tex]
[tex]\boxed{\sf Acceleration=\dfrac{v-u}{t}}[/tex]
[tex]\\ \rm\longmapsto Acceleration=\dfrac{19.4-5.05}{10}[/tex]
[tex]\\ \rm\longmapsto Acceleration=\dfrac{14.3}{10}[/tex]
[tex]\\ \rm\longmapsto Acceleration=143m/s^2[/tex]
A toy manufacturer produces a set of blocks, with edge b, that can be used by children to build play structures. The production team is analyzing the amount of paint they need for a block
The expression for the total number of blocks is b³
This question seems to be incomplete. Here is the complete question :
A toy manufacturer produces a set of blocks that can be used by children to build play structures. The product packaging team is analyzing different arrangements for packaging their blocks. One idea they have is to arrange the blocks in the shape of a cube, with b blocks along one edge.
Write an expression representing the total number of blocks packaged in a cube measuring b blocks on one edge.
A cube is a 3-dimensional object that has six faces.
Characteristics of a cube
It has six faces It has twelve edges It has eight vertices Intersecting edges are perpendicularVolume of a cube = a³
Where a = length of a side
The expression that would be given is the volume of a cube. Since the length of the edge is b, the expression would be b³
To learn more about cubes, please check : https://brainly.com/question/11168779?referrer=searchResults
You offered a SALARY job of $47,603, and you are expected to work 44 hours a week
What would your hourly rate be?
Answer:
$20.81
Step-by-step explanation:
There are 52 weeks in a year.
Let's say you get paid x dollars per hour. Every week, you get paid x dollars for each hour you work. If you work 44 hours, you get paid x * 44 dollars a week. We get paid x * 44 dollars each week for a year, for 52 weeks. We can represent this as (x*44) * 52 = x * 2288. This is the amount you get paid each year. Setting that to your yearly salary of $47,603, we have
$47603 = x * 2288
divide both sides by 2288 to isolate x
x ≈ $20.81
30 Oreo cookies for $2.99
Unit rate
Answer:
$0.10 per oreo
Step-by-step explanation:
To find the unti rate, all we need to do is divide.
2.99 / 30 ≈ 0.10
Best of Luck!
can anyone solve this please it's an urgent
Answer:
missing element is 6
Step-by-step explanation:
Given
f(x) = x³ - 2 ( substitute x = 2 )
f(2) = 2³ - 2 = 8 - 2 = 6 ← missing element
ordered pair is (2, 6 )
Answer:
[tex]f(x) = {x}^{3} - 2 \\ f(2) = {2}^{3} - 2 \\ = 8 - 2 = 6 \\ (2 \: \: 6) \\ thank \: you[/tex]
Consider the graphs of f (x) = l x l + 1 and g (x) = 1/x^3. The composite functions f(g(x)) and g(f(x)) are not commutative, based on which observation?
Answer:
C on edge
Step-by-step explanation:
The domains of f(x) and g(x) are different. (answer)
The domains of graph f(x) and g(x) are different.
What is commutative function?A mathematical operation is commutative if the numbers used can be changed without changing the outcome. As illustrated here, addition and multiplication are two examples of commutative operations. 2+3 = 5
3+2 = 5
2*3 Equals 6
3*2 Equals 6.
To learn more about commutative functions refer to:
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10) Joe's farm has 2 pumpkin fields with a total area of 5 3/4 , acres. The big field
yields 2 1/3 Tons of pumpkins and the small field yields 1 2/5 Tons of pumpkins
a) what is the total yield of both fields?
b) what is the total yield per acre for both fields combined?
In the figure below, line / line m. If the measure of Z1 =125° and the measure of <=50', then what is the measure of
25 ?
5
34
m
05
O 75
O 55
O 105
Solve for x. Show all your work to receive full credit.
Answer:
x=6
Step-by-step explanation:
23x-5 + 5x+17 = 180
28x+12=180
28x=180-12
28x = 168
x=168/28
x= 6
Select all the fractions that have the same decimal value
Answer:
1 and 1/3 as well.
Step-by-step explanation:
Convert 1 and 1/3 to a fraction by multiplying the whole number by the denominator and adding it to the numerator.
1 x 3 + 1 = 4
= 4/3
if two rectangles have the same perimeter, do they have to be congruent??
Answer:
No they do not have to be congruent.
Two rectangles with the same perimeter but may not be congruent, because the length and width dimensions of each may be different.
A student pays 12.50 for headbands
Answer:
0=0
1=12.50
2=25
3=37.50
4=
Step-by-step explanation:
Formula: 1/2 b*h b= 4; h=6
Answer:
12
Step-by-step explanation:
1/2•4•6 = (4•6)/2 = 24/2 = 12
A strawberry cake recipe need w eggs for every 200g of flour. How many eggs are needed for 1000g of flour
Answer:
5w eggs
Step-by-step explanation:
200 * 5 = 1000
so if w eggs are needed for 200 g of flour
then 5 * w eggs are needed for 200 * 5 = 1000 g of flour
Answer:
5w eggs
Step-by-step explanation:
MN has the endpoints at M(3,7) and N(-9,3) what is the midpoint of MN?
Given f(x)=9x^2 find f(-3)
Answer: f(-3) = 81
Step-by-step explanation:
f(-3) = 9(-3^2)
f(-3) = 9(9)
f(-3) = 81
Answer:
f(- 3) = 81
Step-by-step explanation:
Substitute x = - 3 into f(x) , that is
f(- 3) = 9(- 3)² = 9(9) = 81
You want to frame a picture that is 5in by 7in with a 2.5 inch-wide frame.
a. What is the perimeter of the pictures? What is the perimeter of the outside edge of the frame?
b. What is the area of the picture? What is the area of the frame?
Work out 3% of 860kg
need this asap!!!
Answer:
3% of (860 kilograms) =
25.8 kilograms
Answer:
Step-by-step explanation:
3 * 860/100
= 2580/100
= 25.8.
hey please help i’ll give brain
Answer:
The missing numbers are 5, then 35, then 49.
Step-by-step explanation:
I promise it's right :)
Hi ;-)
[tex]7\times7=(\boxed5\times7)+(2\times7)\\\\=\boxed{35}+14\\\\=\boxed{49}[/tex]
Room A is cleaned every 9 days. Room B is cleaned every 6 days. What is the fewest number of days that will pass before both rooms are cleaned again on the same day?
Answer:
on the 18th day
Step-by-step explanation:
LCM for 6 and 9 is 18 :)
How much time has passed from the first clock to the second clock?
The time passed is less than 12 hours. 4:20 and 8:55
Evaluate
(9n +8m)
—————
2j
when n = 4, m = -2 and j = 5
2j
Answer:
2Step-by-step explanation:
Let n= 4, m= -2 and j= 5(9n + 8m)/2j= 9(4) + 8(-2)/2(5)= 36 + (-16)/10= 20/10= 2[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Question : -6+(-6)+(-6)
4 meters 85 millimeters to milimeters.
Answer:
4085
Step-by-step explanation:
4 meters = 4000 millimeters + 85
= 4085
Answer:
By changing 4 meters 85 millimetres to milimetres we get 4085 milimetres
Step-by-step explanation:
In the first step change 4m to mm
We know that 1m = 1000mm
So, 4m = 4000mm
Now add 4000mm to 85mm
= 4000mm+85mm
= 4085mm
simplify 9(8x - 9) + 13x
Answer:
85x-81
Step-by-step explanation:
random word to fill up word counter