Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA. It has no solution.
OB.
It has infinite solutions.
OC. It has a single solution: x= 15, y= 17.
OD. It has a single solution: x= -3, y = 26.
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Answers
Answer:
D. (-3, 26)
Step-by-step explanation:
The ratios of x- and y-coefficients are different in the two equations, so there will be a single solution. (Different ratios mean the slopes are different. Lines with different slopes must intersect in exactly one point.)
We can rearrange the first equation to give an expression for y:
y = 17 -3x
This can be substituted into the second equation to give ...
x +2(17 -3x) = 49
-5x +34 = 49 . . . . . . simplify
-5x = 15 . . . . . . . subtract 34
x = -3 . . . . . . divide by -5
Then the value of y is ...
y = 17 -3(-3) = 26
The single solution is (x, y) = (-3, 26).
Related Questions
100-3x6+5-4= 63? help me its GEMDAS
Answers
Answer:
it's 86
Step-by-step explanation:
100-3x6+5-4
100-15+5-4
85+5-4
90-4
86
If a triangle has a base of 6 feet and a height of 5 feet, what is the area?
Answers
Answer:
15 square feet
Step-by-step explanation:
a = (1/2)bh
a = (1/2) * 6 * 5
a = 3 * 5
a = 15
15 square feet
Suchitra works at the local supermarket. She gets paid $22.50 per hour. Her time card
is shown below
Day In Out
Monday 9:00 a.m. 5:00 p.m.
Tuesday 9:00 a.m. 6:00 p.m.
Wednesday 8:30 a.m. 5:30 p.m.
Thursday 9:00 a.m. 4:30 p.m.
Friday 9:00 a.m. 4:00 p.m.
a How many hours did Suchitra work this week?
b .Find her weekly wage
Answers
Answer: she worked 31 hours ( I believe so)
Step-by-step explanation: hope that helps
If a Japanese company reported an 8.8 percent increase in net profit from last year’s 426 billion yen, what would be this year’s net profit in yen?
Answers
Answer:
463,488,000,000
Step-by-step explanation:
8.8% = .088
426,000,000,000 * .088 = 37,488,000,000
426,000,000,000 + 37,488,000,000 = 463,488,000,000
Help would be much appreciated! :)
Answers
Answer:
[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}[/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
ExpandingAlgebra II
Polynomial Division
Long DivisionSynthetic DivisionStep-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}[/tex]
Step 2: Long Division
See attachment.
Multiply quotient a and divisor, then subtract from dividend: [tex]\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}[/tex]Multiply quotient b and divisor, then subtract from new dividend: [tex]\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}[/tex]Multiply quotient c and divisor, then subtract from new dividend: [tex]\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}[/tex]Write remainder: [tex]\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}[/tex]Please excuse the bad handwriting.
©
Make x the subject of the formula
y = mx – C
Answers
Answer:
x = [tex]\frac{y+c}{m}[/tex]
Step-by-step explanation:
Making it the subject means "setting the equation equal to it"
y = mx – C
y + c = mx
[tex]\frac{y+c}{m}[/tex] = x
x = [tex]\frac{y+c}{m}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
y=mx+c
⟹(y)−c=(mx+c)−c
⟹y−c=mx+(+c−c)
⟹y−c=mx+0
⟹y−c=mx
⟹mx=y−c
⟹mx×(1m)=(y−c)×(1m)
⟹x×(mm)=1m(y−c)
⟹x×1=1m(y−c)
⟹x=1m(y−c)
Step-by-step explanation:
Who has the best conclusion?
A.Sheryl said the lowest grade was a 70 and the highest grade was a 92.
B.Shania said the highest grade was a 100.
C.Andrea said the lowest grade was a 68 and the highest grade was a 92.
D.Allen said the range of the scores was 32.
Answers
Answer:
B. Shania's conclusion is the only accurate one.
Step-by-step explanation:
Bobby and Garnetta thought of four consecutive odd integers such that 5 times the sun
of the first and the third was 22 greater than the product of 8 and the sum of the second
and the fourth. Find the numbers.
Answers
The four consecutive odd numbers are - 11, - 9, - 7, - 5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).
Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.
∴ 5(n + n + 4) = 8(n + 2 + n + 6) + 22.
5(2n + 4) = 8(2n + 8) + 22.
10n + 20 = 16n + 64 + 22.
10n - 16n = 86 - 20.
- 6n = 66.
n = - 11.
So, The numbers are - 11, - 9, - 7, - 5.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
helpppppppppppppppppppppppppppppppppppp
Answers
Answer:
£120
Step-by-step explanation:
original_price = discounted_price / (1 - discount / 100)
78/(1-35/100)=120
What are the places in decimals called.
Answers
Answer: the tenths place
Step-by-step explanation:
expand the expression, image attached giving brainliest please help
Answers
(2m + n) (2n -m)
2m×2n-2m×m+n×2n-mn
4mn-2m^2 +2n^2-mn
4mn-mn-2m^2+2n^2
3mn-2m^2+2n^2
330,000,000,000,000,000,000,000 mass using a one-digit whole number times a power of 10.
Answers
Answer:
Step-by-step explanation:
330,000,000,000,000,000,000,000 has 22 zeros, so we can immediately say
33x10^22
This should be expressed using just a single decimal point, so we can move the decimal point two more spaces to the left, and add 2 to the exponent:
3.33x10^23
The question states a one digit whole number, so make it 3x10^23, although it seems an insult to the 0.33. Go with the one you prefer.
HELP ASAP
Solve for the measure of ∠PMR
Answers
Answer:
116*
Step-by-step explanation:
Since <PMR consists of <RPW and <WPM and we know that these are the same, we just have to multiply 58 by 2 and get 116, which will be your answer.
Tell me if I'm wrong :)
Find the slope of the line shown below.
Answers
Hello! :)
The slope of this line is 0.
Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.
Here, we move 0 units up, so the rise is 0.
No matter what the run is, the slope is 0 anyway.
Hope it helps you!
If you have any questions, feel free to ask! (:
~An excited gal
[tex]SparklingFlower :)[/tex]
Answer:
its 0 sowe
Step-by-step explanation:
Please help me marking brainless
Answers
Answer:
9/12 & 5/12
Step-by-step explanation:
You can easily multiply 4 (the denominator of the 1st fraction) by 3, which is 12
help please???!!!!?!!!!??!!?!!!!!!!!
Answers
Answer:
b，c，f
Step-by-step explanation:
a is -8
b 8
c 8
d -8
e 1-
f 8
g -8
h -8
Find the slope of the line that passes through (7,1) and (6,8)
Answers
Answer:
-7
Step-by-step explanation:
[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7
expand and simplify (x-2)(x-3), please help
Answers
Answer:
hope it helps you
(•‿•).........
how to solve this.im stuck in this question for 20 mins. Plzz answer
Answers
Answer:
Find the minimum or maximum value of the function g (I) = -3x^2 - 6x + 5. Describe the domain and range of the function, and where the function is increasing and decreasing. > -1 all real numbers The function The maximum value is I < 0 The domain is and the range is right of I left -1 is increasing to the of I= and decreasing to the 0 12 :: yo y0 :: 8 :: IS-1 :: -1 :: 0 :: I> 0 :: 1 :: 8 :: < 0 :: left :: all real numbers :: y -8 :: y < 8 :: y8
Step-by-step explanation:
help with this question please!
Answers
Triangle: 1/2 base • height
= 1/2 (6) • 3
= 9
Then find the semi circle
(pi r^2)/2
= (3.14 • 3^2)/2
= 14.13
14.13 - 9 = 5.13 mm^2
round 73.03 to the 1 decimal place
Answers
Answer:
The answer is 73.0 or just 73
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of B. Calculate the bearing of D from B
ONLY ANSWER QUESTION B PLEASE
Giving lots of points
I will give brainlist
NO FRAUDS
Answers
Answer:
213.7°
Step-by-step explanation:
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
-----------------------------------------------------------------------------------------------------------
Part A: 135
Part B: 213.7
------------------------------------------------------------------------------------------------------------
[RevyBreeze]
MATE!
213.7°
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
Part A: 135
Part B: 213.7
need 8&9 urgently!!!
Answers
Answer:
8.x=7
7.x=12
Step-by-step explanation:
8.The two Base angles are equal
7. The exterior(outside) angle is equal to the sum of the two interior(inside) angles.
Choose the correct answer to 7,215 divided by 34 with a remainder
Answers
Answer:
0,212205882352941
Step-by-step explanation:
choose all the pairs of lines that are parallel.
1. line UV and line VY
2.line UX and line WZ
3.line VY and line WZ
4.line YZ and line WZ
5.line UV and line WZ
6.line XZ and line VW
7.line XY and line YZ
Answers
2. Line UX and line WZ
3. Line VY and line WZ
Answer:
2.lineUX and lineVY3.lineVY and lineWZEd is on a road trip. He has already traveled 229 miles and is driving at a rate of 68 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 647 total miles?
A.
68x + 647 = 229
B.
229x + 647 = 68
C.
68x + 229 = 647
D.
229x + 68 = 647
Answers
Step-by-step explanation:
THE ANSWER IS D BUT ME 8S NOT SURE
Somebody please help
Answers
Answer:
c/ y=20x
Step-by-step explanation:
Whoever helps me with this I'll give brainliest and extra points! :)
Answers
What are the options
what would the answer be need help
Answers
Answer:
The equation would change to be f(x) = 12x + 50
Step-by-step explanation:
The equation given follows the form y = mx + b. In the equation, m = the charge in dollars per person, with x representing the amount of people, and b = the initial reservation fee.
This means that if you change the charge per person, the m value will change, and if you change the reservation fee, the b value will change.
Thus, your new equation will be f(x) = 12x + 50
EXPAND AND SIMPLIFY
2(5x + 3) - 2(2x-3)
Answers
Hey there!
2(5x + 3) - 2(2x-3)
DISTRIBUTE
= 2(5x) + 2(3) - 2(2x) - 2(-3)
= 10x + 6 - 4x + 6
COMBINE the LIKE TERMS
= 6x + 12
Therefore, your answer should be:
6x + 12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
10x + 6 - 4x - 6
14x
