Answer:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or [tex]x=\frac{4}{3}[/tex]
Step-by-step explanation:
(a) |2x+3|=6
⇒ 2x+3=6 or 2x+3=-6
⇒ 2x=3 or 2x=-9
⇒ x=1.5 or x=-4.5
(b) |x-2|=x+4
⇒ x-2=x+4 or x-2=-(x+4)
x-2=x+4
-2≠4 x∈Ф
or x-2=-(x+4)
x-2=-x-4
2x=-2
x=-1
(c) |2x-7|=|x+3|
⇒ 2x-7=x+3 or 2x-7=-(x+3)
2x-7=x+3
x=10
or 2x-7=-(x+3)
2x-7=-x-3
3x=4
[tex]x=\frac{4}{3}[/tex]
The solutions of modulus equations are shown below:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or x=4/3
Step-by-step explanation:
(a) |2x+3|=6
⇒ 2x+3=6 or 2x+3=-6
⇒ 2x=3 or 2x=-9
⇒ x=1.5 or x=-4.5
(b) |x-2|=x+4
⇒ x-2=x+4 or x-2=-(x+4)
⇒x-2=x+4
⇒-2≠4 x∈Ф
or x-2=-(x+4)
⇒x-2=-x-4
⇒2x=-2
⇒x=-1
(c) |2x-7|=|x+3|
⇒ 2x-7=x+3 or 2x-7=-(x+3)
⇒2x-7=x+3
⇒x=10
or 2x-7=-(x+3)
⇒2x-7=-x-3
⇒3x=4
⇒x=4/3
Therefore, the solution of modulus equation are as:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or x=4/3
To learn more about "Modulus function" here:
brainly.com/question/13586158
Find the least common multiple of 6, 10, and 5.
Answer:
30
Step-by-step explanation:
First, let's list the first 10 multiples of 6, 10, and 5.
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60..
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100..
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60...
Ah ha!
Can you see a common multiple? It is 30, isn't it?
So 30 is our answer.[tex]ANSWERED:\\GraceRosalia[/tex]5 = 8(x + 9) – 8(x – 8)
Answer:
5 = 136
hope it helps-
The solids are similar. Find the volume of solid B. Write your answer in terms of pi.
please help my teacher make me do all of this
Review Directions: Solve each of the following equations. 1. 2x - 12 = 6 1. 2x - 12 = 6 2. 2x + 6= 8 3. 12s - 12=12 4. 14s + 6 = 35 5. 3s - 12 = 6 6. 18t + 9 = 34 7. 21x + 7 = 28 8. 50y + 5 = 105 9. 1/4x - 6 = 24 10. 13x + 2 = 18 11. 6 - 3x = 18 12. 14 + s = 21 13. 16x - 4 = 28 14. 19x - 1 + 3 = 40 15. 10t = 194 16. 400x + 100 = 1100 17. 40 - 3x + 3 = 113 2. 2x + 6= 8 3. 12s - 12=12 4. 14s + 6 = 35 5. 3s - 12 = 6 6. 18t + 9 = 34 7. 21x + 7 = 28 8. 50y + 5 = 105 9. 1/4x - 6 = 24 10. 13x + 2 = 18 11. 6 - 3x = 18 12. 14 + s = 21 13. 16x - 4 = 28 14. 19x - 1 + 3 = 40 15. 10t = 194 16. 400x + 100 = 1100 17. 40 - 3x + 3 = 113
If I`m going to solve "what is the percent is 29.00 out of of 122.50 what do I multiply by 100 or 122.50?
Answer:
I don't know the answer you know
Can someone help me with this plzzzzzz
Graph the image of the figure using the transformation given. Don't forget prime marks on your new image. Part 1: reflection across the y-axis.
NO LINKS OR ASSESSMENT!
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (1, 4 ) → J' (- 1, 4 )
K (1, 0 ) → K' (- 1, 0 )
L (4, 3 ) → L' (- 4, 3 )
Plot the points J', K', L' and connect them in order to obtain image
1234567891011121314151617181920
Yep.. that's how you count...good job
Evaluate the expression.
Answer:
22
Step-by-step explanation:
hoffe das hilft :)
Answer:
[tex] \frac{ -4 [ - 5(7 - 13) - 19]}{2( - 1)} \\ \\ \frac{ - 4[ - 35 - 65 - 19]}{ - 2} \\ \\ \frac{ - 4 [ - 119] }{ - 2} \\ \\ \frac{ - 4 - 119}{ - 2} \\ \\ \frac{ - 123}{ - 2} \\ 61.5 \: \: \: \: answer \: [/tex]
Rajan had Rs. 6000 in his bank account on a particular day. A week later he deposited Rs. 1500 and next day, he had to withdraw 1/3 of his total balance. Find his balance amount in he bank after withdrawal.
step by step plzzz
Answer:
After depositing rs. 1500 ratan got rs. 7500 in his bank account. When he withdrew 1/3 of 7500, he withdrew rs. 2500 from his bank account.. so left amount in bank is 7500-2500= 5000 rupees
Step-by-step explanation:
brainliest
смесь сухофруктов состоит из изюма и кураги. Изюма составляет 42% всей смеси. Сколько процентов этой смеси составляет курага?
58% должно быть вашим ответом
Answer:
58%
Step-by-step explanation:
вычтите исходный процент из 100, и вы получите еще один, и это абрикосы
Simplify this expression.
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = -1/6x + 2
Step-by-step explanation:
Slope: (-6,3) and (6,1) = (1-3) / (6 - - 6)
= - 2/12 = -1/6
b = 3 - (-1/6)(-6)
b = 3 - 1
b = 2
What single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?
9514 1404 393
Answer:
0.9114
Step-by-step explanation:
That multiplier would be ...
(1 -2%)×(1 -7%)
= (1 -0.02)(1 -0.07)
= 0.98×0.93 = 0.9114
am i right???? Please explain even if I am???
Similar triangles have the same angle measures, but different side lengths. Generally, similar triangles are proportional.
So, we can say that AB / DE = BC / EC.
16 / DE = 12 / 9
12(DE) = 144
DE = 12
Hope this helps!! :)
Divide. 5 1/4÷1/3 Express your answer as a mixed number in simplest form. Enter your answer in the box.
Answer:
15 and 3/4 will be your answer
Jazelle Momba wants to visit her family in Zimbabwe in 2025, which is 6 years from now. She knows that it will cost approximately $8,000 including flight costs, on-the-ground costs, and extra spending money to stay for 4 months. If she opens an account that compounds interest at 4% semiannually, how much does she need to deposit today to cover the total cost of her visit?
9514 1404 393
Answer:
$6307.95
Step-by-step explanation:
The compound interest formula can help with that.
A = P(1 +r/n)^(nt) . . . . value of principal P at rate r for t years, compounded n times per year.
P = A(1 +r/n)^(-nt) = $8000(1 +0.04/2)^(-2·6) = $8000(1.02^-12) = $6307.95
Momba needs to deposit $6307.95 today to have $8000 in 6 years.
Perform the indicated operation. Reduce to lowest terms if possible.
2 1/2 x 2 1/3
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
[tex]2\dfrac{1}{2}*2\dfrac{1}{3}=\dfrac{5}{2}*\dfrac{7}{3}=\dfrac{5*7}{2*3}\\\\=\dfrac{35}{6}=5\dfrac{5}{6}[/tex]
1.8331 to nearest hundred
Answer:
1.83 because hundredth would be in the second place after the period
Step-by-step explanation:
Solve -9 2/7 - (-10 3/7).
A. - 1 1/7
B. 1 1/7
C. 19 1/7
D. 19 5/7
Answer:
1 5/7
Step-by-step explanation:
-9 2/7 -(-10 3/7) recall -×- = +
-9 2/7 +10 3/7
1 2+3/7
1 5/7
What is the answer to T=4,500•(1.05)^100?
Answer:
591755.66030836 was my answer. Hope that helps.
please help on all asap, tysm <33
Answer:
1. 4.22
2. 19.415
3. nine and thirty- five
4. Three and four hundred twelve
Step-by-step explanation
Which table can be represented by a line?
A)
А
B)
B
C С
D
D
Step-by-step explanation:
if you really want to get answer you should follow me
I will mark brainlist please help!!
- dilation (lesson)
1) in a dilation of a figure, the distance between two consecutive vertices does not change
• true
• false
2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25
• J (2,1) K (2,2) L (1,2)
• J (-2,1) K (4,2) L (1,0.5)
• J (1,2) K (2,2) L (1,0.5)
Answer:
see explanation
Step-by-step explanation:
(1) False
A dilatation enlarges or reduces the original figure
Then the distance between consecutive vertices changes.
(2)
Assuming the centre of dilatation is at the origin then multiply the coordinates of the points by the scale factor k = 0.25 ( a reduction )
J (4, 8 ) → J' (4(0.25), 8(0.25) ) → J' (1, 2 )
K (8, 8 ) → K' (8(0.25), 8(0.25) ) → K' (2, 2 )
L (4, 2 ) → L' (4(0.25), 2(0.25) ) → L' (1, 0.5 )
Twelve dogs and cats receive 77 biscuits.
A dog receives 7 biscuits,one biscuit more than a cat.
How many dogs were there?
Answer:
6 dogs are there who ate the biscuits
The marksobtained by a group of students in science test are
90, 49, 87, 74,80, 85, 49
Find the
a) Median
b) Mode
c) Range
Trina is making a graph that shows a proportional relationship between the amount of money collected, y, and the number of tickets sold, x. She correctly plots the point (600, 1,950). Which of these statements are true? Select all that are correct.
(The point (140, 455) is on the graph because $455 will be collected if 140 tickets are sold.)
(The constant of proportionality is 600/1,950, which is about 31)
(The point (5,16.25) is not on the graph because it is impossible to sell 16.25 tickets.)
(The point (1,3.25) is on the graph and identifies that the cost for each ticket is $3.25.)
(The point (0,0) is on the graph because 0,0 is on the graph of all proportional relationships.)
Answer:
C, E and D are th correct answers
Answer:
Step-by-step explanation:
If your screen shows the numbers in a different order then it is Adc
the scale on a map says that 3 cm represents 12 km what is the actual number of km represented by 5 cm on the map
A. 1.5 km
B. 2.4 km
C. 60 km
D 20 km
2.4 please follow mee i think this is answer
ALGEBRA Ishiro Murakami has $15.60 deducted weekly for
family medical insurance. His employer pays 85% of the cost.
What is the annual premium?
Murakami's Annual premium which is the total value of medical insurance in a year is $5408
Percentage paid by employer = 85%Percentage paid by worker = 15%Number of weeks in a year = 52Annual deduction from worker's salary = 52 × 15.60 = $811.2
15% of annual premium = 811.2
Let annual premium = p
Therefore,
15% × p = 811.2
0.15p = 811.2
Divide both sides by p
p = 811.20 / 0.15
p = $5408
Therefore, his annual premium is $5408
Learn more : https://brainly.com/question/18796573
A vehicle covers 792 km in 11 liters of petrol . How much distance would it cover in 30 litres of petrol
Answer: 2160 km
Step-by-step explanation:
Simple Proportion
11 liters -> 792km
1 liter -> 792/11 =72 km
30 liters -> 30*72 = 2160km
Answer:
30 liters -> 30*72 = 2160km
Step-by-step explanation:
30 liters -> 30*72 = 2160km
maek as brain list