The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = [tex]-\frac{5}{x} x-1[/tex]
Parallel lines
Parallel lines have the same slope. Therefore, using slope intercept form.
y = mx + b
m = slope
b = y-intercept
Therefore,
5x + 2y = 12
2y = -5x + 12
[tex]y = -\frac{5}{2} x+12[/tex]
The slope of the line is [tex]-\frac{5}{2}[/tex]
Base on parallelism, for the line that passes through (-2, 4)
y = mx + b
4 = [tex]-\frac{5}{2} (-2)+b[/tex]
b = -1
Therefore,
y =
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1.
Which is the graph of the exponential function y = 0.5(0.5)x?
Answer:
The answer is B
Step-by-step explanation:
What's the volume of the following is rectangular prism plsssssss will mark brainlist HELPPPP
Answer: 6.75 or 6 3/4
Step-by-step explanation: 3 3/8 x 2 = 6.75 Brainliest please?
13. You are debating about whether to buy a new computer for $800.00 or refurbished computer with the same equipment for $640.00. If you are paid
$10.00/hour and your deductions
are FICA (7.65%), federal tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the new computer?
89 hours
•
98 hours
•
87 hours
•
111 hours
The number of hours to work to pay for the new computer is 111 hours
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The cost difference between the new and refurbished computer is $800.00 - $640.00 = $160.00. This means that you would save $160.00 by buying the refurbished computer instead of the new one.
Let's say you work for "x" hours, then your gross pay will be:
A = 10x dollars
Your FICA deduction will be 7.65% of your gross pay:
0.0765 ( 10x ) = 0.765x dollars
Your federal tax withholding will be 12% of your gross pay:
0.12 ( 10x ) = 1.2x dollars
Your state tax withholding will be 8% of your gross pay:
0.08 ( 10x ) = 0.8x dollars
The total amount of taxes that will be deducted from your paycheck is the sum of these three amounts:
0.765x + 1.2x + 0.8x = 2.765x dollars
So your net pay will be:
10x - 2.765x = 7.235x dollars
On simplifying the equation , we get
Now, we can calculate the number of hours you would need to work to pay for the new computer:
800 = 7.235x
x ≈ 110.5 hours
Hence , the number of hours is x = 111 hours
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Jace buys 12 bottles of orange juice at the corner store for a total cost of $8.04. If each bottle costs the same amount, how much is each bottle of juice?
$0.67 for each bottle of juice
Question 8
1 pts
Solve the problem.
Paul has grades of 68 and 90 on his first two tests. What must he score on his third test in
order to have an average of at least 70?
at most 70
O at least 52
at most 76
O at least 79
Answer:
At least 52
Step-by-step explanation:
Paul's current average is a 79. It wouldn't be any of the "at most" answers because the question is looking for an average of "at least" 70. And "at least 79" wouldn't be correct because he could get much less than a 79 and still have an overall average of 70. The answer is at least 52. Hope this helps! Good luck.
Solve the following system.
3z = 9
-y+2z = 5
4x+3y-z =-8
x=
y=
z=
Answer:
x = - 2
y = 1
z = 3
Step-by-step explanation:
z = 9/3
z = 3
-y + 2 (3) = 5
-y +6=5
6-5 = y
y = 1
4x + 3(1) - 3 = - 8
4x + 3 - 3 = -8
x = -8/4
X= - 2
When we analyze the relationships between different quantities, identify their units of measurement, and convert these quantities for equal comparison, we are using dimensional analysis. Dimensional analysis uses a or conversion factor, to change units of measurement while maintaining the value of the measurement. In a conversion factor, the numerator and equal the same amount, just in different For example, to convert 3 miles into feet, you would 3 miles by a conversion factor created from the units of miles and feet. Because 1 mile equals 5,280 feet, two conversion factors can be created:1 mile or 5,280 feet/1 mileMultiplying any number, such as 3 miles, by either of these does not change the number's over value. To determine which conversion factor we use, we place the unit we do want in the bottom, while we put the unit we want to get rid of on th
The steps involved in using dimensional analysis for unit conversion is highlighted below :
The question is incomplete, however, from the portion given, we can see that the text is based on using dimensional analysis to convert units of measurement.
We relate our given unit to the desired or expected unit :
From the text:
To convert 3 miles into feets :
The given unit = 3 miles
The expected or desired unit = feets
The relationship between Given and desired unit :
1 mile = 5280 feets
(5280 feets / 1 mile )
With the unit we want or desire placed at the bottom
To convert a given number of miles to feets ;
Multiply the given value by the relation defined :
Hence,
3 miles to feets :
3 miles × (5280 feets / 1 mile)
Miles cancels out
3 × 5280 feets = 15,840 feets
Another example :
Convert ; 10 minutes into seconds :
1 minute = 60 seconds
given unit = minute ; desired unit = seconds
Relationship = (60 seconds / 1 unit)
10 minutes × (60 seconds / 1 minute)
Minute cancels out :
10 × 60 seconds = 600 seconds
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Factor this expression
3x^2-11x-20
Answer:
(3x-4)(x+5)
Step-by-step explanation: First set up a diamond problem. Find what two numbers add to 60 since 3*20 and add to -11. That would be 15 and -4. Then draw a 2x2 box, and put in 3x^2 the -20, 15x and -4x. Then find the factors. Hope that helped! :)
Answer:
(3x+4)(x-5)
Step-by-step explanation:
If x=[(2/3)²]³ ×(1/3)⁻² ×3⁻¹ ×(1/6) find the reciprocal of x.
Answer:
I don't know itachi bro.You can ask your friend sorry I can't help you.I am in class 7 lol hahahahah
Solve the equation M2= 14
Answer:
7
Step-by-step explanation:
M2=14
divide both sides by 2
M2÷2=14÷2
M=7
will give brainliest !!!!!!
Answer:
(3, 4)
Step-by-step explanation:
Answer:
y = mx + 3
m = Δy/Δx = -3/3 = -1
y = -1x+3
Step-by-step explanation:
In the standard (x, y) coordinate plane, what is the distance between the points (2, -10) and (-3,5) ?
Answer:
5√10, answer C
Step-by-step explanation:
You can use Pythagoras for this.
calculate the distance between the x coordinates (Δx), which is done by taking the biggest number and subtracting the the coordinates from each other. Aka 2 - - 3 = 2 + 3 = 5
Δy = 5 - - 10 = 15
then a^2 + b^2 = c^2 gives
5^2 + 15^2 = 250
c = √250
Then you still have to simplify. This is done by extracting the root out which results in an integer (a whole number), which is in this case 25.
√250 = √25 * √10 = 5√10, so answer C
Add. −14 + (−7) Enter your answer in the box.
Answer:
-21
Step-by-step explanation:
add the numbers -14 and -7 to get -21
[tex] - 14 + ( - 7) \\ \\ - 14 - 7 \\ \\ - 21[/tex]
Hope it help you6. Andrew is planning on taking a vacation to Santorini, Greece which will cost $5,000. He makes $2900 ser
month. His fixed expenses are $1200 each month. He spends $200 on food and 5% of his monthly salary on
entertainment. How many months will it take to save enough for Andrew to go to Santorini, Greece
Answer: 3 months
Step-by-step explanation:
Answer:
3 1/2 months (Someone please check my math)
Step-by-step explanation:
We can set up this problem by making an equation.
(2900-1200-200-5%)(x)=5000
(1500-5%)(x)=5000
(1425)(x)=5000
5000 divided by 1425 equals 3.50...
My answer would be 3 1/2 months but I could be wrong.
Compare: (i) −2/ 5 and −1 /5 (ii) −5/ 7 and −3 /7 (iii) 2 /9 and −5 /11
Answer:
(i) −2/ 5 < −1 /5 since -2 < -1 and denominators are same(ii) −5/ 7 < −3 /7 since -5 < -3 and denominators are same(iii) 2 /9 > −5 /11 as comparing negative and positive numbersStep-by-step explanation:
-2/5 and -1/5
Since -1 > -2
So, -2/5 < -1/5
(ii) -5/7 and -3/7
Since -5 < -3
So, -5/7 < -3/7
(iii)
2/9 and -5/11
Note :- That all positive fraction are greater than negative fraction.
So, 2/9 > -5/11
It costs n dollars to make a dozen bicycles. At the same rate, how many dollars will it cost to make 30 bicycles?
Step-by-step explanation:
n dollars for 12 bicycles.
what is the factor to go from 12 to 30 ?
12×f = 30
f = 30/12 = 5/2
as it will be the same rate, if will cost 5n/2 dollars
Find the degree of 2b^9c^5
[tex] \large \mathfrak{Solution : }[/tex]
Degree of a polynomial is the highest exponential power in the expression.
i.e 9 here
so, degree of the given expression is 9
Please give me the awnser
Find m
Find m
what is the answer to this question.
Answer:
Step-by-step explanation:
A proportional relationship is one that starts at (0,0) and is usually a straight line relationship.
Of those choices offered, only a is correct by this definition.
Find the equation of the lines perpendicular and parallel to 2x-3y=8 line through the point (-2,-4)
Answer:
y= -1.5x-7 is the equation of the perpendicular line
Here's why:
when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.
Can somebody do this please I don’t know how and I just need the credit
Answer:
7. M = (-1.5,7)
8. (8,4)
9. m<QRS=46°
Step-by-step explanation:
7. Use the midpoint formula which is (x1+x2/2 , y1+y2/2)
So (-1-2/2 , 9+5/2)
(-3/2 , 14/2)
So M = (-1.5,7)
8. This is one simple if you understand.
Since (-6,6) is the starting end point and (1,5) is the mid point then (8,4) has to be the other end point. -6 to 1 is +7. 1 to 8 is +7. 6 to 5 is -1. 5 to 4 is -1.
9. 3x-8+2x+6=98
5x-2=98
5x=100
x=20
So plug in x for QRS
2(20)+6
40+6
46
Hope this helps
**PLEASE ANSWER THE QUESTION BELOW.**
WILL MARK BRAINLIEST IF YOUR ANSWER IS CORRECT, RELIABLE, AND GOOD. PLEASE ADD DECIMALS, THANK YOU!
Please look at the picture provided below.
NO LINKS OR FALSE ANSWERS.
Answer:
80.5 km/h
Step-by-step explanation:
divide the 426.65 by 5.3 hours to get 80.5/1 hr
I need help due Tommarow
Answer:
I barely know it osfhhhgghh
I kind of understand this question, but I'm not sure how to answer it directly, can someone help please.
joan has 72 blue and 27 green marbles Benny has 3 times more blue marbles than Joan how many dozen marbles does Benny have
help me plz, 13 points! these questions are separate. help me work out both questions please
1^2 + 2^2 + 3^2 +.... + 28^2 + 29^2 + 30^2 = ......
Find the value
Thank you!
Step-by-step explanation:
The sum of consecutive squares is
[tex]1^2+2^2+\dots+n^2=\frac16n(n+1)(2n+1)[/tex]
Therefore
[tex]1^2+2^2+\dots+30^2=\frac16(30)(31+1)(2\cdot30+1) = 9455[/tex]
An elite runner's stride rate is currently 168 strides per minute (the number of steps she takes
per minute). She wants to improve her stride rate to 180, and believes that through training, she
can increase her stride rate by 2 strides per minute each day, d. Which equation best models the
situation?
Answer:168+2d= 180
Step-by-step explanation:
Answer:
Step-by-step explanation: 168 +2d=180
PLEASEE HELPPPPP
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Answer:
15
Step-by-step explanation:
(2x-1)+(x+17)+(4x-15)=106º
2x+x+4x=7x
-1+17-15=1
7x+1=106º
-1
7x=105º
/7 /7
x= 15
cos 20°cos40°cos60°cos50°=1/16
can you please tell me is the equation is correct or not
or please answer with complete explanation and tell me what will come on R.H.S if the equation is incorrect.
Answer:
The value of cos cos 60+ 6 cos 40+ 15 cos 20 + 10 is equal to cos 50+5 cos 30 + 10 6 (Step-by-step explanation: