Let's say that 'a' is some positive number. Let's pick a = 5.
That means |x| = a turns into |x| = 5
The equation |x| = 5 solves to x = -5 or x = 5.
This is because the values -5 and 5 on the number line are exactly five units away from zero.
In short, a = 5 leads to |x| = a having the two solutions x = -5 or x = 5.
-------------------
Keeping the same value of 'a', the equation |x| = -a turns into |x| = -5
What number on the number line is exactly negative 5 units away from zero? The answer is "no such number exists". Distance is never negative.
Therefore, |x| = -5 has no solutions.
--------------------
So if a = 5, then the first equation |x| = a has two solutions, while |x| = -a has no solutions.
If we made 'a' to be some negative number, then things would flip around. In this case, it would mean |x| = a has no solutions while |x| = -a has two solutions.
The only time both equations would have a solution is when a = 0
We can see that |x| = a becomes |x| = 0, and |x| = -a becomes |x| = -0 or just |x| = 0 which is the exact same thing the first equation turned into. We're dealing with the same equation at this point.
--------------------
If your teacher states "The value of 'a' is nonzero", then the two equations do not have the same solution set. If a = 0, then it leads to x = 0 as the only solution for both equations.
i don’t understand how to do this and i need help!!
Answer:
x = 26
Step-by-step explanation:
6x + 6x + (x-2) + (x-2) = 360
14x - 4 = 360
14x = 364
x = 26
6(26) = 156
(26 - 2) = 24
Will mark brainliest and give thirteen points explanation
Answer:
geyser =groundwater
glacier = freshwater
lake=freshwater
ocean=salt water
Step-by-step explanation:
SnackTime Foods produced 24,200,000 grams of popcorn last year, which was placed in 11-
gram bags. How many bags did the company fill?
bags
Hurry and plsssss
Answer:
2,200,000 :) give brainliest
Step-by-step explanation:
Which is the graph of y= 2x-3?
Answer:
(A:
Step-by-step explanation:
EXAMPLE:
in Slope Intercept form, the letter x determines the slope of the line, where 0 makes the line horizontal and 1 makes the line at a 45 degree angle, in this case to go from x to x plus 1 you would climb y two times, so it takes two units to go one unit to the right, so x is multiplied by 2
the addition at the end of the formula resembles how high up or down the line crosses the y axis, if the number is positive, then the line crosses that amount higher then 0, if it were a negative number, it would cross that much lower
hope this makes sence, dont worry, once you understand how slope intercept form works, you will never forget it, good luck with ur studies :)
MEGA CREDITS to MisterZeng for double checking our work, thx m8 :D
simplify pls with steps 2⁵ x 3⁴ x 5 / 3 x 16
someone plzz help me i don't know if its right I'm lost out of time
Answer:
12. 30
13. 3
Step-by-step explanation:
Which of the following units are units of volume? Select all that apply.
Answer:
we have these we ml and l
Step-by-step explanation:
Here, we want to select the units of volume ;
1. mg
This is a measure of mass and in fact it is called milligrams
2. mm
This is called millimeters and in fact is a measure of distance
3. cm
This is centimeters and it is a measure of distance too
4. ml
Milliliters, this is a measure of volume
5. m
meters;
this is a measure of distance
6. g
grammes
This is a measure of mass
7. l
This is liters
It is actually a measure of volume
8. km
this is kilometers, it is a measure of distance
Camden is deciding between two parking garages. Garage A charges an initial fee of
$12 to park plus $4 per hour. Garage B charges an initial fee of $8 to park plus $5 per
hour. Let A represent the amount Garage A would charge if Camden parks for t
hours, and let B represent the amount Garage B would charge if Camden parks for t
hours. Write an equation for each situation, in terms of t, and determine the hours
parked, t, that would make the cost of each garage the same.
Answer:
4 hours
Step-by-step explanation:
A = 12 + 4t
B = 8 + 5t
12 + 4t = 8 + 5t
t = 4
The cost of each garage would be the same when Camden parked the car for 4 hours
WHat is the answer to number 2
Answer:
My best guess C im pretty sure.
Pls help me!!!! I don't know how to do these.
Answer:
12) Option 3
13) Option 2
Step-by-step explanation:
A Y U D E N P O R F A :(
Answer:
x=2
Step-by-step explanation:
Primero, necesitamos calcular <<a>>
Sabemos que AD=BC y AB=CD porque lados opuestos congruentes
Entonces, vamos a calcular <<a>>.
Usamos AD y BC
2a-1=4a-15
suma 15 a ambos lados
2a+14=4
añada 2 en ambos lados
14=2a
divida
7=a
Ahora, usamos esta información para calcular <<x>>
Usamos CD=AB
2a-8=4x-2
pero sabemos que <<a>> es 7
entonces:
14-8=4x-2
6=4x-2
8=4x
2=x
<<x>> es 2
(¡lo siento mi español no es perfecto!
Find f(5) for f(x)=1/4 (2)^x
f(5) = 1/4(2)^5
f(5) = 1/4 (32)
f(5) = 8
answer
A. 8
(Help pls) When ayden mom drives to the gas station is the level in her gas tank increasing,decreasing,constant.
Answer:
Decreasing
Step-by-step explanation:
It is decreasing because it is being used.
Have a good day!!
In ΔPQR, the measure of ∠R=90°, the measure of ∠P=53°, and QR = 17 feet. Find the length of PQ to the nearest tenth of a foot.
Answer:
21.2863≈21.3 feet
Step-by-step explanation:
Answer:
21.3
Step-by-step explanation:
find the surface area of the triangular prism
Answer:
608 ft²
Step-by-step explanation:
1) Find the area of the bases
[tex]A=\frac{1}{2} bh[/tex] where b is the base length and h is the height
Plug in b and h
[tex]A=\frac{1}{2} (12)(8)\\A=48[/tex]
Multiply the answer by 2 (because there are 2 bases)
A=96
Therefore, the area of the two bases is 96 ft².
2) Find the area of the two sides facing up
[tex]A=lw[/tex] where l is the length and w is the width
Plug in l and w
[tex]A=10*16\\A=160[/tex]
Multiply the answer by 2 (because there are 2 sides)
A=320
Therefore, the area of these two sides is 320 ft².
3) Find the area of the bottom side
[tex]A=lw[/tex] where l is the length and w is the width
Plug in l and w
[tex]A=12*16\\A=192[/tex]
Therefore, the area of this side is 192 ft².
4) Add all the areas together
96 ft² + 320 ft² + 192 ft²
= 608 ft²
Therefore, the surface area of the triangular prism is 608 ft².
I hope this helps!
Answer:
608
Step-by-step explanation:
first off you have to find the area of the base
the base is 16 by 12 feet.
so you multiply them and you get
16*12=192 you will have to come back later for this number
next, you find the two outsides of the triangular prism.
they are 10 by 16
10*16=160 and there are two of them so you double it and get 320
now save the 320 too with the 192
now we are going to find the triangles
the formula for an area of a triangle is A=1/2h*w
so we plug in the height which is 8 and the width which is 12
A=1/2(8)*(12)
Simplify
A=48 once again there are two of them so we double it to make it 96
now take all your saved numbers and add them all up
96+320+192
this should give you an answer of 608
hope this helps! have a nice day:)
In a exam 90% students passed.if 15 students failed,find the number of students appeared in the examination?
Answer:
150
Step-by-step explanation:
10%=15
100%=150
15 x 10=150
to check find 90% of 150 which is 135
150-135=15
how do i solve 6y = 3
Answer:
y=1/2
Step-by-step explanation:
Help plz!
The Corresponding Angles Conjecture states that if two
parallel lines are cut by a transversal, the corresponding
angles are congruent. The picture below shows this
relationship
Answer:
B
Step-by-step explanation:
Corresponding angles form a sideways U when you connect the angles.
b is the only one that does that.
1 and 4 are consecutive angles.
1 and 3 are vertical angles
4 and 3 are linear pair angles.
The cost of the circular carpet, $C, varies as the square of the radius,
r metres. If C = 200 when r= 2
Find the cost of the circular carpet when r= 3
Answer:
$450
Step-by-step explanation:
C = k[tex]r^{2}[/tex]
200 = k([tex]2^{2}[/tex]) = 4k
k = 50
C = 50[tex]r^{2}[/tex] = 50([tex]3^{2}[/tex]) = 50(9) = $450
Add: 2 2/3 + 3 1/12 PLEASE HURRY IM TIMED AND I WILL BE GROUNDED IF I FAIL BECAUSE I FAILED LAST TIME SO PLEASE HURRY AND HELP MEEEEE
Answer: 23/4 is you answer!!
Step-by-step explanation:
Answer: 5 3/4
Step-by-step explanation: I put them in the same denominator to add them
please help! this is a huge chunk of my grade!!
Answer:
r=8Step-by-step explanation:
3r+4+8r-2 = 90
11r +2 = 90
11r= 88
r= 8I really need help with a thing for math if yall can help I would appreciate it. If yall know this comment down below and tell me the answer
Answer:
27
Step-by-step explanation:
3/5of 45 is basically what you are looking for and it in itself is the equation you have to solve
3/5 is 3 divided by and "of" is basically multiply by 45
3/5*45
.6*45
27
what is the product of 3/7 and 3/8?
Answer:
9/56
Step-by-step explanation:
..................
In 4 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 6 minutes. If both belts are used, find how long it takes to move the cans to the storage area.
Answer:
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.
Step-by-step explanation:
Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable
aluminum from the delivery truck to a storage area. A smaller belt
moves the same quantity of cans the same distance in 6 minutes.
To find - If both belts are used, find how long it takes to move the cans
to the storage area.
Proof -
Given that,
Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Larger belt = 4 min/ shifting
Also,
Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Smaller belt = 6 min/ shifting
Now,
As we know that Time is inversely proportional to time, so
Rate of Larger Belt = [tex]\frac{1}{4}[/tex] shifting/min
Rate of Smaller Belt = [tex]\frac{1}{6}[/tex] shifting/min
Now,
Let us assume that , if both belts used then,
Total time taken = x min/shifting
Then, Rate = [tex]\frac{1}{x}[/tex] shifting/min
Now,
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{x}[/tex]
⇒[tex]\frac{6 + 4}{24} = \frac{1}{x}[/tex]
⇒[tex]\frac{10}{24} = \frac{1}{x}[/tex]
⇒10x = 24
⇒x = [tex]\frac{24}{10}[/tex] = 2.4 minutes
∴ we get
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.
Lydia is an architect. She has to design a courtyard garden inside a new hotel. On her blueprint, which is 1/20 the size of the actual garden, the width of the garden is 36 inches. What is the width of the actual garden?
Answer:
720 inches
Step-by-step explanation:
On her blueprint, which is 1/20 the size of the actual garden
the width of the garden is 36 inches.
What is the width of the actual garden?
Let width of the actual garden = x
1/20 of x = 36
1/20 * x = 36
x = 36 ÷ 1/20
x = 36 * 20/1
x = 720
x = 720 inches
The width of the actual garden = 720 inches
Divide R300 000 between Leona and Janet in the ratio 3:2.
Answer:
let the ratio be in x
a/q. 3x + 2x = 300000
5x = 300000
x = 300000/5
x= 60000
Leona = 60000*3 = 180000
Janet = 60000*2 = 120000
hope it helps
If a =3, b = 2 and c = 5, solve the following algebraic expressions: (3 marks)
a) 3c + 5 - b
b) b(4 - 2) + c
c) 4a - (2c)
Answer:
A) 18
B)9
C)-2
Step-by-step explanation:
Replace the a,b or c with the give number. So let’s say it’s says 2 + a. It would be 2+3.
Which of these is the best approximation of
5
to the nearest hundredth?
OA) 0.17
OB) 0.75
OC) 0.83
OD) 1.20
Answer:
oc)0.83
Step-by-step explanation:
have a good day!!!
how 2 do?
(n)(n+7)(n+8)
Answer:
[tex]n^{3} + 15n^{2} + 56n[/tex]
Step-by-step explanation:
First FOIL (n + 7)(n + 8) and then distribute n
(n + 7)(n + 8) = [tex]n^{2} +15n + 56[/tex]
n ([tex]n^{2} +15n + 56[/tex])
= [tex]n^{3} + 15n^{2} + 56n[/tex]
Is this a function ? :)
Answer:
yes
Step-by-step explanation:
Hey There!
So if you didn't know in order for it to be a function none of the x values can repeat
In the given relation none of the x values repeat, or each input has a different output therefore it is a function