Solve each equation |3x+9|=30 x=7 x= 1, -19 no solution x=7,-13 |2x+1|=-13 no solution x=-7 x=-14, 12 x=-7, 6 |x+2|+4=11 x=5 no solution x=5, -9 x=7,-11
Answers
Answer:
x= -7 x= 5
Step-by-step explanation:
2x + 1 = -13
-1 -1
2x = -14
/2 /2
x = -7
x + 2 + 4 = 11
x + 6 = 11
-6 -6
x = 5
hope this helps (:
The solutions of the given linear equations are: x = 7, - 13; x = 6, - 7; x = 5, - 9, respectively.
What is a linear equation?A linear equation is an equation that has on or multiple variables with the highest power of the variable is 1.
Given equations are:
1. |3x + 9| = 30
⇒ ( |3x + 9| )² = (30)²
⇒ 9x² + 54x + 81 = 900
⇒ 9x² + 54x + 81 - 900 = 0
⇒ 9x² + 54x - 819 = 0
⇒ 9(x² + 6x - 91) = 0
⇒ (x² + 6x - 91) = 0
⇒ (x + 13)(x - 7) = 0
⇒ x = 7, - 13
2. |2x+1| = - 13
⇒ (|2x+1|)² = (- 13)²
⇒ 4x² + 4x + 1 = 169
⇒ 4x² + 4x - 168 = 0
⇒ 4(x² + x - 42)= 0
⇒ (x² + x - 42)= 0
⇒(x - 6)(x + 7) = 0
⇒ x = 6, - 7
3. |x + 2| + 4 = 11
⇒ |x + 2| = 7
⇒ (|x + 2|)² = 7²
⇒ x² + 4x + 4 = 49
⇒ x² + 4x - 45 = 0
⇒ (x - 5)(x + 9) = 0
⇒ x = 5, - 9
Learn more about linear equation here: https://brainly.com/question/17038547
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Related Questions
When solving an ______, use inverse operations to undo the operations.
Answers
[tex][Hello,BrainlyUser][/tex]
║ Answer ║Equation
Step-by-step explanation:
Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, trigonometry, etc
Thus, When solving an equation, use inverse operations to undo the operations.
[CloudBreeze]
Answer:
equation
Step-by-step explanation:
When solving an equation, use inverse operations to undo the operations.
A movie begins at 4:30pm and it is 1 hour 50 minutes. What time does it end?
Answers
Answer:
The movie ends at 6:20.
Step-by-step explanation:
4:30
+30
=5:00
+20
=5:20
+1:00
=6:20
Find the coordinates of the midpoint of the segment joining the given points. (-2, 2) and (6, 4)
Answers
Answer:
Step-by-step explanation:
(4/2) (6/2)
(2) (3)
(2,3)
Two equations are graphed above. What is the solution? Please help!
Answers
Answer:
no solution.
Step-by-step explanation:
Lines are parallel ,so they do not cut at any point.Hence no solution.
16/17 as a decimal rounded to the nearest hundredth
Answers
Answer:
the answer is 0.94
Step-by-step explanation:
16/17 = 0.941176470588
the hundreths place is where the 4 is, and to the right of the 4 is a one, if its under 5 then dont round up so your answer will remail 0.94.
hope this helps have a great day!
PLEASE HELP
Select the correct answer.
Simplify the expression.
3.1 648x478
OA. 18.12y2 2,42
Ов. 18х2у2 /3xy 2
OC. 188723x2y2
OD. 9x2y/2x42
Answers
How many natural numbers between 100 and 500 have a hundreds digit that is a 3 and a ones digit that is a 5?
Answers
Answer:
10
Step-by-step explanation:
Two of the three digits of the 3-digit number have been specified. The remaining digit may take on any of 10 values. There are 10 such numbers.
305, 315, 325, 335, 345
355, 365, 375, 385, 395
3) In September the ratio of the number of kids playing sports to those not playing sports after
school was 3:6. In April the ratio was 5 kids playing sports to 4 kids not playing sports. If there
are 36 kids playing sports in September, how many kids are not playing sports in April?
Answers
Answer:
Step-by-step explanation:
My guess is that 10/36 students weren't playing sports.
At batting practice tj had 20 baseballs pitched to him. He hit the ball 17 times
Answers
Answer:
340
Step-by-step explanation:
Its a simple multiplication problem you just have to multiply 20 x 17 = 340
Hope this helps! :)
Please show work if there is any
Answers
r1 and r2 are parallel as they will never meet
PLEASE ANSWER Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
above is the solution to the question
What is y=-4x-4 in standard form
Answers
Standard form is y=mx+b
Y= 4x-4
You divide 4 and 4 = 1
Y= 1x -4
Hope this helps
Answer: 4x + y = -4
Step-by-step explanation:
The standard form of a linear equation is Ax + By = C.
y = -4x - 4
Add 4x on both sides
4x + y = -4
Solve the system of equations by the addition method
{6x + 4y = 18
{ 2x - 4y = -10
Answers
Answer: (1, 3)
Step-by-step explanation:
Answer:
6x+4y+2x-4y = 18+(-10)
8x = 8
x = 1
6x+4y = 18
6*1+4y = 18
4y = 18-6
4y = 12
4y/4=12/4
y= 3
Josh mowed ⅘ of a yard in ⅖ of an hour. How many yards can Josh mow in 1 hour?
Molly bought 5 pounds of apples for $7.95, how much did each pound cost.
Ella worked 22 hours and got paid 249.26. How much did she make an hour?
If Robin drove ⅔ of a mile in 1/12 of an hour, how far can she drive in 1 hour?
Answers
2. $1.59
3. $11.33
4. 8 miles
Any intelligent people want to tell me how the heck I do this
Answers
Answer:
I'm pretty sure you are supposed to add the exponents.
Step-by-step explanation:
Chiara had $5,700 in medical expenses last year. Her medical insurance covered 80% of these expenses. The IRS allows medical and dental expenses deductions for the amount that exceeds 7.5% of a taxpayer’s adjusted gross income. If Chiara’s adjusted gross income is $35,432, how much can she claim as a medical deduction? Explain
Answers
Using proportions, it is found that she can claim amounts greater than $2657.4 as a medical deduction.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, her adjusted gross income is $35,432, and she can claim deductions for amount's that exceed 7.5% of this, hence:
0.075 x 35,432 = $2657.4.
She can claim amounts greater than $2657.4 as a medical deduction.
More can be learned about proportions at https://brainly.com/question/24372153
Solve the system: 2x – 6y + 4z = 3
-3x + 9y – 6z = -3
5x – 15y + 10z = 5
Answers
Answer:
7
Step-by-step explanation:
i hope this is right, I did the math
what is the equation of a line that is perpendicular to -x+7y=42 and goes through (-2,-1) in slope intercept form
Answers
Answer:
y = -7x - 15Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
Given line
- x + 7y = 42In slope-intercept form it is
- x + 7y = 427y = x + 42y = 1/7x + 6Perpendicular line has slope - 1/(1/7) = - 7 and its equation is:
y = - 7x + bFinding b using the point (-2, -1)
-1 = -7(-2) + b-1 = 14 + bb = -1 - 14b = -15So the line is
y = -7x - 15are 15/28 and 45/84 equivalent
Answers
Answer:
yes
Step-by-step explanation:
(45/84) /3 = 15/28
area of rhombus ROCK is ________ cm^2 if RC = 13 cm and OK = 24cm
Answers
Answer:
156 cm^2
Step-by-step explanation:
1/2 × 13 × 2413 × 12156The cost of hiring a trailer for t hours is C= 5t+10
draw the graph of C against t
Answers
Answer:
See below
Step-by-step explanation:
Given that
C = 5t + 10We can simply take t as 1,2, 3 and so on and put it in the above equation. After finding out C, we can plot the points accordingly.
OR
We can simply use a graphing calculator.
See the attached file!
Which value can be placed under the radical symbol to make this statement true?
Answers
Answer:
D) 875
Step-by-step explanation:
5∛7
= ∛5³ x 7
= ∛125 x 7
= ∛875
The answer is :-
D) 875
Answer:
[tex] \sqrt[3]{x} = 5 \sqrt[3]{7} \\ {x}^{ \frac{1}{3} } = 5( {7}^{ \frac{1}{3} } ) \\ {( {x}^{ \frac{1}{3} } )}^{3} = (5( { {7}^{ \frac{1}{3} } )}^{3} \\ x = {5}^{3 } 7 \\ x = 125 \times 7 \\ x = 875 \\ the \: answer \: is \: d \: 875[/tex]
find the length for x
Answers
Answer: 6
Step-by-step explanation:
By the triangle midsegment theorem, x=3(2)=6.
A medical delivery services charges $10 for a house call plus $0.50 per mile. The situation is represented by the equation c=0.5m+10 where m represents the number of miles the delivery is from the office and c represents the cost of the delivery. Calculate the total cost of a medical service delivery if the number of miles driven is 75.5 miles. Write your answer as an ordered pair (m,c).
Answers
Answer:
$47.75
Step-by-step explanation:
Where are given that the cost of medical service delivery is given by the expression
c=0.5m+10
m= the number of miles
when the number of miles is 75.5 mile we want to find the cost
put m=75.5 in the expression
c=0.5(75.5)+10
solving for c we have
c=37.75+10
c=47.75
Therefore the cost will be $47.75 for a distance of 75.5miles
Is Y=5 and Y=-1 consider parallel perpendicular or neither show your work
Answers
Answer:
They are parallel.
hope i helped! (put graph down below)
Step-by-step explanation:
14 gallons of gas is $19.46. how much would it cost to get 9.5 gallons
Answers
Answer:
13.205
Step-by-step explanation:
19.46 divided by 14
= 1.39
Multiply 1.39 with gallons given:
=(9.5)(1.39)
= 13.205
Therefore, it would cost $13.21 to get 9.5 gallons of gas.
solve for x
your answer must be simplified
2x<15
Answers
Answer:
7.5
Step-by-step explanation:
2 / 2 = 0 & 15 / 2 = 7.5
x = 7.5
add one line to each of the diagrams below so that the resulting figure has rotational symmetry but no line symmetry.
Answers
Answer:
Pardon my sloppy drawing.......
solve
4x-1/2=x+7
3x+2=2x+13/3
Answers
Answer:
first one is x= 5/2 second one is x= 7/3
100 POINTS!!!
What makes a function linear?
A. Having a constant average rate of change.
B. Having a negative average rate of change.
C. Having no repeating inputs.
D. Having a positive average rate of change.
EXPLAIN
Answers
Answer:
Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.
Step-by-step explanation: