Why the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?
Because the absolute value equations behave differently in the different ranges.
For a given absolute value equation (or inequality)
| x - a| = b
We get two equations or inequalities:
x - a = b
x - a = - b
And this is why the solution leads to two equations, this originates in the fact that the parent absolute value function:
f(x) = |x|
Behaves differently if x is positive or negative.
f(x) = x if x > 0f(x) = -x if x < 0If you want to learn more, you can read:
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Find the equivalent number. (will mark the brainliest and youĺl be loved)
Answer:
B. 9
Step-by-step explanation:
So when solving a question like this, you may try to find what 3⁴ is and what 3² is and divide, but there is a much easier way to do this. Remember:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
This can be used to find [tex]\frac{3^{4}}{3^{2}}[/tex] without finding what 3⁴ is. This is how we would do it:
[tex]\frac{3^{4}}{3^{2}}=3^{4-2}=3^{2}=9[/tex]
And now we get the solution, 9, which is answer choice B.
I hope you find my answer helpful.
HELP ME !!!
A.What is the slope of line b ?
B.What is the slope of line d?
Answer:
The slope to line a is 2,3
The slope to line b is 2,4
Step-by-step explanation:
2) Denise is 3 times as old as her daughter Emily. If the sum of their ages is 48. What is Denise's
age?
Answer:
36 years old
Step-by-step explanation:
48 divided by 4 equalls 12 (Emily's age)
12 times 3 equalls 36 (Denise's age)
Checking
36+12=48
In a shopping mall, there are 30 stands selling clothes, which accounts for 1/3 of the total stands. How many stands are there?
Rewrite the addition of the groups as a multiplication of groups (-4) + (-4) + (-4) + (-4) + (-4) =
Answer:
5(-4)
Step-by-step explanation:
(-4) + (-4) + (-4) + (-4) + (-4) =
3 ratios equivalent to 16:12
Answer:
8/6 , 4/3 , 32/24
Step-by-step explanation:
Answer:
just like the other one said 8/6 4/3 32/24
2. Write 1.68 as a simplified fraction
Please help me solve this
Answer:
the answer is -147.0192379. I can't transfer it into a radical, I tried. it might be the -2 one though only because of the negative
Answer: last one
Step-by-step explanation:
last one
18.194 rounded to the hundreths
Answer:
18.94
Step-by-step explanation:
la diferencia de la temperatura máxima de 23 y mínima de 12
La temperatura del aire medida con un termómetro de máximo-mínimo se puede usar para mostrar la diferencia de temperatura durante un período de tiempo, generalmente un día. La diferencia entre el máximo diario y el mínimo diario se denomina rango diurno.
haga clic en las estrellas y haga clic en gracias
por favor responde esta pregunta
¿Por qué la línea es el rey de la jungla?
A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT choose a blue marble?
Help Need answer to this problem 4 + (11- 3) to the power of 2
Answer:
the answer should be 68
Step-by-step explanation:
68
Please help me out hereeee
Answer: A is your answer
Step-by-step explanation:
lanie is saving money to buy a car. she saved $225 so far. she earns $293 every month. How many months until lanie has saved $2030? round your answer to the nearest month.
the height of an experimental plant after x days can be represented by the formula 3(4x+2). The height of a second plant can be represented by the formula 6(2x+2). Is it possible that the two plants will ever be the same height?Expain.
Answer:
no, the plants will not be the same height.
Step-by-step explanation:
if you distribute 3 into the parenthesis (4x+2) it will give you 12x+6. if you distribute the other equation, 6 into the parenthesis (2x+2) it will give you 12x+12.
help pls i’m out for quarantine and i do NOT know how to do these.. EVENS ONLY
yeah the only one I can tell you about is number 3 you need to subtract 107° from 360° then you need to figure out which angles X Y and Z is and divided
point U is on line segment TV . given TU=4 UV=5x and TV=3x+6 determine the numerical lenth of TV
Using the segment addition postulate, the numerical length of TV is: 9 units.
What is the Segment Addition Postulate?According to the segment addition postulate, if U lies between line segment TV, therefore:
TV = TU + UV
Plug in the values:
3x + 6 = 4 + 5x
Solve for x
3x - 5x = 4 - 6
-2x = -2
x = 1
TV = 3x + 6 = 3(1) + 6
TV = 9 units
Learn more about the segment addition postulate on:
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2617 rounded to the nearest hundred
Answer:
2600
Step-by-step explanation:
Vanessa is creating centerpieces for a reception. Each centerpiece will consist of eight flowers arranged around one
candle. Vanessa will create 20 of these centerpieces. Each candle costs $6.00, and each flower costs $1.50. What is the
final cost of the centerpieces?
Answer:
Step-by-step explanation: 120.00
The length of a rectangle is 3 cm less than twice the width. If the perimeter is 42 cm, what is the length of the rectangle?
Answer:
The length is 13
Step-by-step explanation:
w+w+l+l= perimeter
if the length is 3m less than twice the width then let's do some math.
42 divided 2 =21. so the width and length of one side have to equal 21. For example, let's use 8 as the width. The length would be twice(16) minus three(13) 13 plus 8 is 21. WOW it equals half of it so no we know the length is 13 and the wdith is 8.
You are making a picture frame in shop class. Two pieces of wood are cut to form complementary angles so they fit together properly . One angle needs to be (2x +23) and the other angle needs to be (3x +27). What is the measure of the larger angle?
Answer:
Step-by-step explanation:
The measure of the angles are 51° and 39°.
What is a complementary angle?When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.
Given:
Two pieces of wood are cut to form complementary angles.
One angle needs to be (2x +23) and the other angle needs to be (3x +27).
We have to find the measure of the larger angle?.
According to given question we have
Two angles are complementary when their sum is equal to 90°.
So, ( 2x + 23 ) + ( 3x + 27 ) = 90°
5x + 50° = 90°
5x=40°
x = 8°
Putting value of x in the angles given :
( 2x + 23 )° = 2(8°) + 23° = 39°.
( 3x +27 )° = 3(8°) +27° = 51°.
Therefore, the measure of the angles are 51° and 39°.
Learn more details about complementary angles here:
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NEED ANSWER ASAP PLEASE! Which quantity is the input and which is thw output? How do you know?
Answer:
input is the side length, out put is the permineter
Step-by-step explanations
cuz, equation:
p=4^(s)
can someone please help me
what is the lcm for 65 and 78?
Answer: 390
Step-by-step explanation:
65 x 6 = 390
78 x 5 = 390
A jug has a maximum capacity of 16 liters. It's filled to 45% of its capacity, and then poured out at a rate of 60 ml/s. Which of the following expressions models the volume remaining in the jug, in liters, after 'seconds?
a. 7.2 - 0.06x
b. 16 - 0.06x
c. 7200 - 60x
d. 16000 - 60x
Answer:
c is the answer
Step-by-step explanation:
Question 3
Find the point P that partitions the line segment AB given the ratio.
A(3,5) B(4, 3) with the ratio 2:1
Your answer:
O (11/3, 4)
O (4,11/3)
O (5,8)
O (10, 1275)
Clear answer
N
Answer:
I think 1
I think 2
I think 3
I think 4
If the restaurant bill is $21.60, and I want to leave a 15% tip for my waitress, how much money should I leave for the tip?
Answer:
$3.24
Step-by-step explanation:
solve for(x-4)(x+4)=
Answer:
x^2-16
Step-by-step explanation:
x^2-4^2
x^2-16
difference of squares
Solve 8w-3r=45 for r. Show your work.
Answer:
r = 8/3w − 15
Step-by-step explanation:
Let's solve for r.
8w−3r=45
Step 1: Add -8w to both sides.
−3r+8w+−8w=45+−8w
−3r=−8w+45
Step 2: Divide both sides by -3.
−3r/−3 = −8w+45/−3
10. Kibble-Yum dog food costs $3.70 per pound. If Jenna spent a total $20.35 before tax on
Kibble-Yum dog food, how many pounds of dog food did she buy?
Answer:
5.5 pounds
Step-by-step explanation:
20.35/3.70=5.5
What is the slope of the line with the coordinates (0,0) and (-4,7).
Answer:
Slope = -7/4
Step-by-step explanation:
Let's find the slope between your two points.
(0,0) ; (−4,7)
(x1,y1) = (0,0)
(x2,y2) = (−4,7)
Use the slope formula:
m = y2−y1 / x2−x1
= 7−0/−4−0
=7/−4
= −7/4
Answer:
m= −7/4
Hope this helps!!
