Answer:
(4,3)
Step-by-step explanation:
if A=x² +xy-6, B=6xy-2x² +1 and C= 3x² +7 -3xy,find :(i) A+B+C (ii)A-B+C (iii)A+B-C
Answer:
I)
[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]
II)
[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]
III)
[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]
Step-by-step explanation:
We are given the three equations:
[tex]\displaystyle A = x^2 + xy -6,\, B = 6xy - 2x^2 +1 \text{ and } C = 3x^2 + 7 -3xy[/tex]
I)
We want to find:
[tex]\displaystyle A + B + C[/tex]
Substitute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy -2x^2 + 1) + (3x^2 + 7 -3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 + 3x^2 - 2x^2) + (xy + 6xy - 3xy) + (-6 + 1 + 7)[/tex]
And combine like terms. Hence:
[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]
II)
We want to find:
[tex]\displaystyle A - B + C[/tex]
Likewise, substitute:
[tex]\displaystyle = (x^2 + xy - 6) - (6xy - 2x^2 + 1) + (3x^2 + 7 - 3xy)[/tex]
Distribute:
[tex]\displaystyle = (x^2 + xy - 6) + (-6xy +2x^2 - 1) + (3x^2 + 7 - 3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 + 2x^2 +3x^2) + (xy - 6xy -3xy) + (-6 -1 + 7 )[/tex]
And combine like terms. Hence:
[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]
III)
We want to find:
[tex]\displaystyle A + B - C[/tex]
Substitute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) - (3x^2 + 7 - 3xy)[/tex]
Distribute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) + (-3x^2 - 7 + 3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 - 2x^2 - 3x^2) + (xy +6xy +3xy) + (-6 +1 - 7)[/tex]
And combine like terms. Hence:
[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]
If Σfx = 60+45a and Σf = 12+9a , find the mean.
Step-by-step explanation:
Σfx = 60+45a
Σf = 12+9a
Now
Mean =Σfx/Σf
= 60+45a/12+9a
=105/21 (a has been canceled)
=5
Therefore mean =5
Find the equation of the line with x-intercept 4 and y-intercept -1 in slope-intercept
form.
Answer:
Step-by-step explanation:
The slope-intercept form is y=mx+b, where m is the slope and b is the y-coordinate of the y-intercept, so we can already conclude that b=-1.
This results in y = mx - 1
We also have the x-intercept, and we know that the y-coordinate of an x-intercept is always 0. This means that we have the point (4,0). Substitute this into the formula to generate m:
0 = 4m - 1
4m = 1
m = 1/4
thus y = [tex]\frac{1}{4}[/tex]x - 1
Can someone please help me with this question
Step-by-step explanation:
Just Subtract the solutions by the given numbers
Like
8-5=3 Answer 1
7-7=0 Answer 2
1-6= -5 Answer 3
hope it helps
PLEASE HELP!! Re-write the equation 3 x minus y = 4 in slope-intercept form.
a.
y = 3 x minus 4
c.
y = negative 3 x minus 4
b.
y = 3 x + 4
d.
y = negative 3 x + 4
Please select the best answer from the choices provided
A
B
C
D
Answer:
A) [tex]y = 3x - 4[/tex]
Explanation:
Slope-intercept form is y = mx + b
simplify the expression 4b-24+19
4b - 24 + 19 = 4b - (-24 + 19) = 4b - 5
The simplified expression becomes: 4b - 5
Here, we have,
To simplify the expression 4b - 24 + 19,
we can combine the like terms.
The like terms in the expression are the terms without a variable (constant terms) and the terms with the same variable raised to the same power.
Let's simplify step by step:
First, combine the constant terms -24 and 19:
-24 + 19 = -5
Now, the simplified expression becomes:
4b - 5
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if jill had 4 and 1/4 of a cup and she drank 3/5 of it how much did she have left?
Answer:
She had 3.65 or 3 and 13/20
Step-by-step explanation:
4 and 1/4 of a cup in decimal form is 4.25. we know that 3/5 is .60 .Just do 4.25 minus .60
Which fraction is equal to 0.45 REPEATING?
A.5/11
B.41/99
C.41/90
D.41/9
Answer:
A is the answer to your problem
2.
In Buffalo, New York, the temperature was -14°F in the morning. If the
temperature dropped 7°F, what is the temperature now?
The mean of three numbers are 4
Answer:
(1+9+x)/3 = 4
10+ x = 12
x = 2 is required answer..
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Answer:
2
Step-by-step explanation:
Take "?" as "x"
(1+9+x)/3 = 4
(10+x)/3 = 4
10+x = 4×3 = 12
x = 12-10
x = 2
9-3 divided by 1/3+1
Answer:
1
Step-by-step explanation:
Answer:
i believe the answer is 1
Step-by-step explanation:
A dealer mixes 120 liters of milk containing 5% water with 80 liters of milk containing 10 % water. the percentage of water in the mixture is??
9514 1404 393
Answer:
7%
Step-by-step explanation:
Let x represent the percentage of water in the mix. The amount of water in the mix is ...
5%·120 +10%·80 = x·(120 +80)
14/200 = x = 7% . . . . . . . . . . . . . . simplify, divide by 200
The percentage of water in the mixture is 7%.
PLEASE HELP ME!!!
Find the missing values of x and Y from the following equal ordered pairs.
a) (2x + y, 2) = (1, x - y)
b) (x+2y,3)=(-1,2x-y)
Answer:
[tex]1)(2x + y \: \: \: 2) = (1 \: \: x - y) \\ so \: compare \: 2x + y = 1...(1) \\ 2 = x - y....(2) \\ 2x + y = 1...(1) \\ x - y = 2....(2) \\ (1) + (2) \\ 3x + 0y = 3 \\ x = \frac{3}{3} = 1 ....(3)\\ \\ put \: (3)in \: (1) \\ 2 \times 1 + y = 1 \\ y = 1 - 2 \\ y = - 1 \\ here \: x = 1 \\ y = - 1 \\ 2)(x + 2y \: \: \: 3) \: and \: ( - 1 \: \: \: 2x - y) \\ here \: x + 2y = - 1...(1) \\ 2x - y = 3...(2) \\ (2) \times 2 = > 4x - 2y = 6...(3) \\ x + 2y = - 1....(1) \\ (1) + (3) \\ 5x + 0y = 5 \\ x = \frac{5}{5} = 1....(3) \\ put \: (3) \: in \: (1) \\ 1 + 2y = - 1 \\ 2y = - 2 \\ y = \frac{ - 2}{2} = - 1 \\ here \: x = 1 \\ and \: \\ y = - 1 \\ thank \: you[/tex]
Answer:
a) (1, -1)b) (1, -1)Step-by-step explanation:
a)
Compare the coordinates:
2x + y = 1x - y = 2Add up the equations to eliminate y:
2x + y + x - y = 1 + 23x = 3 x = 1Find y:
y = 1 - 2 = -1b)
Compare the coordinates:
x + 2y = -12x - y = 3Double the second equation and add to the first one:
x + 2y + 4x - 2y = -1 + 65x = 5x = 1Find y:
y = 2*1 - 3y = -1Daniel buys a refrigerator for Rs 21 850 . The price includes a Value Added Tax (VAT) of 15 %. How much is the VAT?
[tex]\large \mathfrak{Solution : }[/tex]
let's find the value of added tax :
[tex] \dfrac{15}{100} \times 21850[/tex][tex] \dfrac{3}{2} \times 2185[/tex][tex] \dfrac{6555}{2} [/tex][tex]3277.5[/tex]The value of added tax (VAT) = ₹ 3277.5
Which of the following is most likely the next step in the series?
O A.
O B.
О C.
O D.
Carbon C diamond is one form of carbon; the other is graphite.
The correct option is A.
What is chemical formula ?A chemical equation is a phrase that enumerates a compound's component elements and their respective weights. If there is just single atom of a particular sort, no subscript is necessary. If an atom contains three or more of a specific type of atom, a subscript is appended to a symbol for that atom.
here, we have,
Briefing:
Both graphite and diamond are carbon allotropes. Although graphene and fullerenes are among the rarer unusual allotropes of carbon, they do exist. An enormous three-dimensional network of carbon atoms makes up a diamond.
we know that is the importance of chemical formula :
Chemical equations provide details about the chemical composition of a compound. They also represent the proportions in which the compound's individual components come together to create the compound. The chemical formula of a compound is crucial when describing it in a chemical equation.
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1) The product of two rational numbers is 15/56. If one of the numbers is −5/48 ,find the other .
Answer:
[tex]unknown \: = x \\ then \: x \times \frac{ - 5}{48} = \frac{15}{56} \\ x = \frac{15}{56} \times \frac{ - 48}{5} \\ x = \frac{ - 720}{280} = \frac{18}{7} \\ thank \: you[/tex]
What is the solution of 10 = 15x ?
hi <3
15x = 10
divide both sides by 15
x = 0.66666
hope this helps :)
Answer:
15x = 10
x = 0.667
Step-by-step explanation:
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The "A" or the "C"? plz
Answer:
A: 4
Step-by-step explanation:
The rise is 4
You can see that by noticing points (-1,-1) and (0,3)
The distance between the y values, -1 and 3 is 4 units
The run is 1
As it rises four units, it runs 1 unit
The difference between 0 and -1 is 1
Slope is calculated by rise/run
4/1 = 4 so the slope is 4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Simplify the expression
Answer:
[tex] {( - 4)}^{5} \times {( - 4)}^{7} \\ = {( - 4)}^{5 + 7} \\ = {( - 4)}^{12} \\ = 16777216 \\ thank \: you[/tex]
3=v+19 solving one-step equations
Answer:
V=-16
Step-by-step explanation:
3=v+19
3-19=v
-16=v
are the ratios 1:3 and 2:4 equivalent
I need help with this one problem please.
Answer:
= 0,5
Step-by-step explanation:
Start at 0 then move 5 places to right.
Answer should be (0,5)
which of the following rational functions is graphed below?
Answer:
B
Step-by-step explanation:
I did this already lol
Help me out pls n thanks!!
Answer:
[tex]m^4\\[/tex]
Step-by-step explanation:
M times itself 4 times is denoted by [tex]m^4[/tex]
Answer:
m⁴
Step-by-step explanation:
m*m*m*m = m⁴, as you're multiplying it 4 times
Find the sum
3/4 + 1/2=
Answer: 3/4+1/2= 1¼
Step-by-step explanation:
1/2= 2/4 3/4+2/4=1¼
If you give me the right answer the points are yours
Answer:
-5+2
-3
Step-by-step explanation:
We start with -5 then add 2
-5+2 = -3
Step-by-step explanation:
Expression = -5 + 2
Sum = -5 + 2 = 3
Brent stopped 80% of the 50 shots the forwards took on net. How many shots
did he stop?
Answer:
40 shots
Step-by-step explanation:
Solve for x and show work I will mark brainlyest
3(x-2) + 7 = 2(x+5)
Answer:
Step-by-step explanation: please do mark as brainliest
How to solve 1.025x = 11.55
Let's find the value of x,
→ 1.025x = 11.55
→ x = 11.55/1.025
→ x = 11.2682926829
→ [x = 11.27]
So, 11.27 is the solution.
Why is it important to reduce radicals