Answers
21 * -1 = -21
21 - 1 = 20
[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]
Related Questions
Write the expression that represents the sum of
double a number and triple a number.
Answers
Answer: let x = the "number"
2x + 3x is the expression
Step-by-step explanation:
Which of the following statements describes a positive correlation?
The more I study the lower my test scores
The greater the cost, the better the merchandise
Walnut is more dense than pine
none of the other alternatives are correct
Answers
Answer:
The greater the cost, the better the merchandise
Step-by-step explanation:
It’s giving a positive correlation.
12.) Samuel is 30.75 inches tall. His younger brother, Spencer, is 6 inches shorter. How tall is Spencer?
Answers
Answer: Spencer is 24.75 inches tall
Step-by-step explanation: Just subtract 6 from 30.75 to find the answer
Answer:
The percentage increase in Spencer's height is 125%
Step-by-step explanation:
Solution:
Initial height of spencer = 28 inches
Increased height of spencer = 5 feet 3 inches
= 5 feet + 3 inches
(5 feet = 5 ×12=60 inches)
= 60 + 3
passez une bonne journée points faciles 2+2=?
Answers
5.
Emily is currently being paid monthly and earns $3,500 in gross pay with every paycheck. Her
employer has decided to shift their pay schedule to a biweekly schedule.
How much less will Emily receive in gross pay per paycheck after the shift?
Answers
Answer:
Emily receives $1,750 less after the shift
Step-by-step explanation:
Find the product -5.5(-1/5)?
a. -1.1
b. 2.75
c. 1.1
d. -0.275
Answers
Answer:
c. 1.1
Step-by-step explanation:
-5.5(-1/5) = 5.5/5 = 1.1
Mr. Hinkle baked a pie for Thanksgiving. He cut the pie into 6 piece. He and 2 of his friends each at one slice. What percent of the pie did they eat? *
30%
60%
50%
20%
Answers
Answer:
30%
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
The original selling price was $154.30 The sale price was $127.92 What is the first step in finding the percent markdown?
Answers
Answer:
subtract the new price from the original price
Step-by-step explanation:
To find the percent markdown, first subtract the new price from the original price
154.30-127.92
26.38
Then divide by the original price
26.38/154.30
.170965651
Multiply by 100% to get the percent decrease
17.0965651% decrease
Express x2 + 4x - 7 in the form (x + a)? - b where a and b are integers.
Answers
Answer: (x+2)^2 -11
Step-by-step explanation:
X^2 +4x -7
Half the middle term, add it to x and put them into a bracket and square it
(X+2) ^2 -7
Square the second term to get 4 and then take that away from 7. (We do this because if we had the extra 4, our answer when’s we multiplied out of the brackets wouldn’t be x^2 +4x -7.)
(X+2)^2 -7 -4
Now simplify the whole numbers outside the bracket
(X+2) ^2 -11
A punch recipe calls for 1 1/2 quarts of sparking water and 3/4 of a quart of grape juice.
How much grape juice would you need to mix with 3 3/4 quarts of sparkling water?
Answers
Answer:
15/8 quarts is needed.
Step-by-step explanation:
Hoped this helped.
Laws involving positive integral exponents to zero & negative integral exponents.
Paul and anthony were asked to simply a^(2)/a^(-7) . Who do you think is correct in simplifying tge given expression? Justify your answer in 3 to 5 sentences.
Answers
Answer:
Both are correctStep-by-step explanation:
Paul used the following identities:
[tex]a^{-b}=1/a^b[/tex][tex]a^b*a^c=a^{b+c}[/tex]Anthony used the identity:
[tex]a^b/a^c= a^{b-c}[/tex]The graph below represents the function f(x) and the translated function g(x) .
If f(x) = x ^ 2 , which of the following functions could be an algebraic representation of g(x) ?
Answers
Answer: D. [tex]g(x) = (x-b)^2[/tex]
Explanation:
If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.
Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.
So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]
How many tens equal 6 thousands
Answers
does the graph represent a function?
Answers
Answer:
No
Step-by-step explanation:
yes it is
for it to not be a function it would need to have a curve or somthing that make it go somehwere else
Use the drop down to chose the inequality that makes each statement true. A. -17 - 8 B. -27 - -32 C. 110 - -212 D. -432 - 375
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Guide \#1}\huge\boxed{\downarrow}\\\\\large\text{2 negatives = [\bf positive]}\\\large\text{2 positives = \bf [positive]}\\\large\text{1 positive \&1 negative = \bf [negative]}\\\large\text{1 negative \& 1 positive = \bf [negative]}[/tex]
[tex]\huge\textsf{Guide \#2 }\huge\boxed{\downarrow}\\\large\text{Negatives are BELOW 0.}\\\large\text{Positives are ABOVE 0.}[/tex]
[tex]\huge\textsf{Guide \#3 }\huge\boxed{\downarrow}\\\large\text{Positives are on the RIGHT side of the number line.}\\\large\text{Negatives are on the LEFT side of the number line.}[/tex]
[tex]\huge\textsf{Guide \#4 }\huge\boxed{\downarrow}\\\large\text{Positives are bigger than 0}\\\large\text{Negatives are smaller than 0.}[/tex]
[tex]\huge\text{Answering \textsf{your question(s)....}}[/tex]
[tex]\huge\textsf{Option A.}\\\\\large\text{-17 - 8}\\\large\text{= \bf -25}[/tex]
[tex]\huge\textsf{Option B.}\\\large\text{-27 - -32}\\\large\text{= -27 - (-32)}\\\large\text{= -27 + 32}\\\large\text{= \bf 5}[/tex]
[tex]\huge\textsf{Option C.}\\\large\text{110 - -212}\\\large\text{= 110 - (-212)}\\\large\text{= 110 + 212}\\\large\text{= \bf 322}[/tex]
[tex]\huge\textsf{Option D.}\\\large\text{-432 - 375}\\\large\text{= \bf -807}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\large\boxed{\frak{Amphitrite1040:)}\ \bf \heartsuit}[/tex]solve pls brainliest
Answers
Answer:
1/3
Step-by-step explanation:
It took the Selby family hours round -trip to drive from their house to their beach house 154 miles away . Find their average speed . 5 1/2
Answers
Step-by-step explanation:
Distance = 154 miles .
Time = 5 ½ hrs .
We know ,
Speed = s / t
v = 154 mi/ 5.5 hrs = 28 mi / hr
what is 6 over x-8 - 3x over x squared -5
Answers
Answer:
6/x^5-2x-8
Step-by-step explanation:
6 over x-8-3x is
6/x-8-3x/x^-5
Over x^-5
x^-5 can be rewritten as
6/x-8-3x+x^5
Simplify:
6/x^5-2x-8
Hope this helps!
Simpson office furniture pays Tom Russell a $2490 monthly salary plus a 9% commission on merchandise he sells each month .Assume Tom's sales were $88,000 for last month.
Answers
Answer:
Amount Tom was paid for his sales last month 88,000 x9%= $7920.00
Step-by-step explanation:
tính cỡ mẫu cho một nghiên cứu điều tra xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung bình một đơn thuốc của nghiên cứu thử là 1,03. Nếu như người điều tra tin tưởng 95% rằng kết quả nghiên cứu của mình chỉ sai lệch so với quần thể là 10%
Answers
Answer:
xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung
Step-by-step explanation:
A friend says that his grade on the test is 5 points lower than your grade. If your
grade is represented by x, how can you represent his grade? Should you use x - 5
-
or 5 - x?
renresent you
Answers
Answer:
x-5.
Step-by-step explanation:
If you did it the other way that would be like saying 5 minus your grade. That would be in the negatives unless you got a 5 or below on your grade. :)
Answer:
x-5
Step-by-step explanation:
The other way makes no sense saying 5 minus your grade I hope this helps and it's 5 less than your grade so your grade minus 5 ewuals your answer
How can I divide 7.86 divide by 0.2
Answers
Answer:
39.3
Step-by-step explanation:
pa brainliest
= 393/10
= 39.3
True or False: This table describes a linear function.
XY
1 5
2 8
3 10
Answers
Answer:
False
Step-by-step explanation:
The slope is not constant
consider the line y= -4/7x+2
Answers
Answer:
y=(7/4)x + 12, y=(-4/7)x -46/7
Step-by-step explanation:
first for the perpendicular line: we know the slope is the opposite reciprocal of -4/7, so m= 7/4. now we have y= 7/4 x +b. b is the y-intercept. to find b plug in the point (-8,-2). -2=(7/4)(-8) + b = -14+b so b=12. so the slope of the perpendicular line is y=(7/4)x + 12
parallel:
since the line is parallel the slope is -4/7. so we have y=(-4/7)x + b. next plug in the point (-8, -2) to find b: -2 = (-4/7)(-8) + b = 32/7 + b. so b= -46/7
A recipe calls for 1 1/8 cups of flower for every 3/4 cup of sugar used. How many cups of flour are needed for each cup of sugar used?
A 1 1/2
B 1 5/27
C 27/32
D 3/4
Answers
Answer: A
You could put this in a ratio of flour to sugar 9/8 : 3/4. If we need to find out how many cups of flour are required for each cup of sugar, then we’ll need to divide both sides by 3/4 to get to 1 cup of sugar so that we can find how many cups of flour are required for this amount. The flour is 9/8 cups which then gets divided by 3/4 and is 1/2 so this is our answer.
what is the distance between the coordinates (9, -2) and (9, 8) show your work on a coordinate grid pleas help mee
Answers
Answer:
10
Formular for finding distance between two points; (x2-x1)² + (y2-y1)² (all square root)
X1=9
X2=9
Y1=-2
Y2=8
Distance= (9-9)²+(-2-8)² (all square root)
=(0)²+(-10)² (all square root)
=0 + 100 (square root)
=100 square root
=10
HELP PLEASE I WILL MARK BRAINIEST WHEN ABLE TO
An expression is shown below:
the square root of 18 plus the square root of 2
Which statement is true about the expression?
It is rational and equal to 4 times the square root of 2.
It is irrational and equal to 4 times the square root of 2.
It is rational and equal to 3 times the square root of 2.
It is irrational and equal to 3 times the square root of 2.
Answers
Answer: It is irrational and equal to 3 times the square root of 2.
Answer:
It is irrational and equal to 3 times the square root of 2.
Step-by-step explanation:
just like the other guy said
PLEASE HELP GUYS I’m so stuck
Answers
Answer:
what we have to do here hmm mm mm .......
I’ll mark you brainliest if you help me answer 1-9 (no bs)
Answers
Answer:
1. 0
2. undefined
3. 0
4. 0
5. undefined
6. undefined
7. undefined
8. 0
9. 0
Step-by-step explanation:
f(x) = -4x2 + 4x – 4
Find f(3)
Answers
F(3) occurs when x =3. So lets plug 3 into our equation.
[tex]f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28[/tex]
F(3) = -28
I hope this helps! :)