Answers
Answer:
(6, 2 )
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{2}{3}[/tex] x - 2 → (1)
y = 2 → (2)
Substitute y = [tex]\frac{2}{3}[/tex] x - 2 into (2)
[tex]\frac{2}{3}[/tex] x - 2 = 2 ( add 2 to both sides )
[tex]\frac{2}{3}[/tex] x = 4 ( multiply both sides by 3 )
2x = 12 ( divide both sides by 2 )
x = 6
The solution is (6, 2 )
Related Questions
(i) Factorise the expression x^3 + 3x - x^2 - 3 completely.
(ii) Hence, express (x^2 – 3)^3 - (2 - x^2)^2 + 3(x^2- 3) in the form (x^4+Ax^2+B)(x^2+ C), where A, B and C are integers.
Answers
Step-by-step explanation:
Answer 1 put all like terms then solve
hope it helps....
a) The value of the equation is A = ( x - 1 ) ( x² + 3 )
b) The value of the equation is B = ( x⁴ - 6x² + 10 ) ( x² - 4 )
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
a)
The equation is A = x³ + 3x - x² - 3
On simplifying the equation , we get
A = x³ - x² + 3x - 3
A = x² ( x - 1 ) + 3 ( x - 1 )
On factorizing the equation , we get
A = ( x² + 3 ) ( x - 1 )
b)
The equation is B = ( x² - 3 )³ - ( 2 - x² )² + 3 ( x² - 3 )
On simplifying the equation , we get
B = ( x² - 3 )³ - ( x⁴ - 2x² - 2x² + 4 ) + 3 ( x² - 3 )
On further simplification , we get
B = ( x² - 3 )³ - x⁴ + 4x² - 4 + 3x² - 9
B = ( x² - 3 )³ - x⁴ + 7x² - 13
On factorizing the equation , we get
B = ( x - 2 ) ( x⁵ + 2x⁴ - 6x³ - 12x² + 10x + 20 )
B = ( x - 2 ) ( x + 2 ) ( x⁴ - 6x² + 10 )
And , on further simplification , we get
B = ( x² - 4 ) ( x⁴ - 6x² + 10 )
Hence , the equation is B = ( x² - 4 ) ( x⁴ - 6x² + 10 )
To learn more about equations click :
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Solve 3/4x+1/4y=5 for y
Answers
Answer:
y=3x+20
Step-by-step explanation:
So first, I don't like fractions so I would multiply the whole equation by 4. This will make the equation 3x+y=20. Then you have to isolate the y to find the answer so you should subtract 3x from both sides. This will make the equation look like this y=-3x+20. Therefore, y=3x+20
An advertising company charges 150.000
each time a 30-second commercial is aired.
The cost (in thousands of dollars) to
produce the commercial and air it x times is
given by the function C(x) = 150x +300.
Graph the function.
Answers
Answer:
this is what i think you were asking for, if not you can use this to make a similar graph
Step-by-step explanation:
*see attached photo*
Can someone plz help me with this one problem plzzzzz!!!!
Answers
Answer:
No.
Step-by-step explanation:
In order for this equation to be true, either the 8 would have to be negative or the 11.
pls help guys plsssssssssssssssss
Answers
Answer: the first one is 35 the second is -36
Step-by-step explanation: hope this helps
Without solving determine the number of real solutions for each quadratic equation
b^2-4b+3=0
2n^2 + 7 = -4n + 5
x - 3x^2 = 5+ 2x - x^2
Answers
Answer:
Complete the square to determine the number of solutions#1
b² -4b + 3 = 0b² - 4b + 4 = 1(b - 2)² = 1Two solutions#2
2n² + 7 = -4n + 52n² + 4n + 2 = 0n² + 2n + 1 = 0(n + 1)² = 0One solution#3
x - 3x² = 5 + 2x - x²3x² - x² + 2x - x + 5 = 02x² + x + 5 = 0x² + x² + 2*1/2x + 1/4 + 4 3/4 = 0x² + (x + 1/2)² + 4 3/4 = 0No solutionsAnswer:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
In 2012, five U.S. Postal stamps cost $2.20. How much did seven stamps cost? (Hint, find the unit rate first) $
Answers
Answer:
$3.08 for 7 stamps
Step-by-step explanation:
The unit rate (price per stamp) is:
$2.20
-------------- = $0.44/stamp
5 stamps
Then 7 stamps would cost:
$0.44
------------ * 7 stamps = $3.08 for 7 stamps
1 stamp
The difference between two numbers is 3. The sum of the same tow numbers is 13. What is the
product of the two numbers?
Answers
Answer: 40
Step-by-step explanation:
Let the two numbers be a and b.
Therefore,
a - b = 3 ....... i
a + b = 13 ....... ii
From equation I, a = 3 + b
Put a = 3+b into equation ii
a + b = 13
3 + b + b = 13
3 + 2b = 13
2b = 13 - 3
2b = 10
b = 10/2
b = 5
Since a = 3 + b
a = 3 + 5
a = 8
The product of the numbers will be:
= 8 × 5
= 40
The volume of a Toblerone candy bar is 275 cm3. If the candy bar is 11 cm long, what is the area of the base?
Answers
Answer:
275 - 11=264
Step-by-step explanation:
Please Help!!!!! You have twice as many nickels as pennies. you have $1.10. how many of each coin do you have? Solve each problem using a system of equations.
Answers
Answer:
Step-by-step explanation:
n=2p
p+5n=110, using n found above makes this become
p+5(2p)=110
p+10p=110
11p=110
p=10, since n=2p
n=2(10)
n=20
So there are 10 pennies and 20 nickels.
The measure of 3 angles of a triangle are 2x, 3x, and (x +60) what is the value of x?
Answers
Answer: angle x= 20 degrees
Step-by-step explanation: sum of angles in triangle is 180 degrees.
You count 2x + 3x +(x+60) = 180
6x=120
PLS HELP ME I WILL GIVE BRAINLIEST TO THE BEST ANSWER
Answers
Answer:
Step-by-step explanation:
S= 180 - ( 62 + 90)
=180-152
=80
So S = 80
Answer:
28°
Step-by-step explanation:
none needed
An arithmetic sequence has this recursive formula.
What is the explicit formula for this sequence?
Answers
Answer: an=8+(n-1)(-6) .
Step-by-step explanation:
Solve the equation for X+15 =X+30
Answers
Answer:
i'm pretty sure there's no solution
Answer:
Step-by-step explanation:
solve the following
1) 2(x + 3) = x - 4
2) 4(5x-2) = 2(9x+3)
PLS HELP
Answers
Answer:
(1) [tex]x = -4[/tex] (2) [tex]x = 7[/tex]
Step-by-step explanation:
From the first equation:
[tex]2(x + 3) = x - 4\\\implies x = 2(x + 3) + 4\\\implies x = 2x + 6 + 4\\\implies x = 2x + 4\\\implies -4 = 2x - x\\\implies x = -4[/tex]
From the second equation,
[tex]4(5x - 2) = 2(9x + 3)\\\implies 20x - 8 = 18x +6\\\implies 20x - 18x - 8 -6 = 0\\\implies 2x -14 = 0\\\implies 2x = 14\\\implies x = \frac{14}{2} = 7[/tex]
2.8*10⁶=?
solve the equation, please
Answers
Answer:
2800000
Step-by-step explanation:
10^6 means 1000000
2.8 x 1000000 = 2800000
does 20, 40, 30 form a pythagorean triple
Answers
Answer:
Step-by-step explanation:
If it is a Pythagorean Triple the hypotenuse and the legs of a right triangle will all be integer values where
c^2=a^2+b^2
In this case, this isn’t even a right triangle as
20^2+30^2=40^2
400+900=1600
1300!=1600
because 1300 does not equal 1600 this is not a Pythagorean Triple.
Categorical Data is data that is sorted into categories on the basis of qualitative details.
True or False?
Answers
Answer:
true
Step-by-step explanation:
"In statistics, a categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property." - Wikipedia...
when f(x) is replaced with
f(x)+k, the graph that results is shown below
K=__?
Answers
Answer:
k = 6
Step-by-step explanation:
Parent function of the given graph → f(x) = (x - 1)²
If the parent function is shifted 6 units up.
Equation of the translated function will be → g(x) = (x - 1)² + 6
g(x) = f(x) + 6
Therefore, k = 6 will be the answer.
Match the base to the corresponding height.
Base (b)
Height (h)
Answers
Answer:
Step-by-step explanation:
Base of a triangle is defined by the segment joining two vertices and height of a triangle is the vertical distance between the base and the third vertex.
Therefore, by following this property, triangles given in first column will match the triangles given in second column. (as figure attached)
Answer: Base of a triangle is defined by the segment joining two vertices and height of a triangle is the vertical distance between the base and the third vertex.
Therefore, by following this property, triangles given in first column will match the triangles given in second column. (as figure attached)
Step-by-step explanation:
y = 2x-10
Find the value of x and y
Answers
Answer:
y = 2x - 10
y=-8×
put the value of y in equation
y= 2x-10
-8x = 2x - 10
-8x= -8x
x = -8/-8
x=1
Solve each equation and check your answer.
2x + 4(3-2x) =
3(2x + 2)
+4
6
X =
Please help
Answers
2x + 12-8x =
2x-8x= -12
-6x= -12
x=2
how do you take pictures of your work
Answers
Answer:
You take a regular photo of your question on your device and upload it when your asking a question on brainly!
Step-by-step explanation:
Hope I helped!
HELP DUE IN 9 MINUTES
Answers
Answer:
[tex]x = 18^o[/tex]
Step-by-step explanation:
The vertically opposite angle [tex]2x[/tex] must be equal to the original 36 degrees.
So,
[tex]2x = 36^o\\\implies x = \frac{36^o}{2}\\\implies x = 18^o[/tex]
Please help thank you
Answers
Answer:
A triangle with angles measuring 55°, 60°, 65° degrees
Step-by-step explanation:
Two obtuse angles means two angles over 90°
The sum of all angles in a triangle are 180°
90°+90° itself is 180°, so we cant have two angles greater than 90°
Two right angles means 90° and 90° which is 180°, not possible
55°+60°+65° = 180° so it is possible.
If x=5 and y=−2, evaluate the following expression:10+5xy
Answers
Answer:
-90
Step-by-step explanation:
10+5×5×(-2)
10+25×(-2)
10+(-100)
10-100
-90
Answer:
- 40
Step-by-step explanation:
Substitute x = 5, y = - 2 into the expression
10 + 5xy
= 10 + 5(5)(- 2)
= 10 - 50
= - 40
Erika decided to compare her observations to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she used 6.2 years as her time period. Explain how she would calculate the difference between how much the water level fell in the part of the river she observed.
Answers
Answer:
Change in water level over thr period Given is 11.16 mm
Step-by-step explanation:
The change in water level. In the part of the river observed will be ;
Water level. = The rate of change in water level per year * period
Rate of change in water level = 1.8mm /year
Number of years = 6.2
The change in water level is thus :
1.8 mm / year * 6.2 years
= (1.8 mm / year * 6.2
= 11.16 mm
A school has 1200 students 1/3 are in the upper school. 2/5 in the middle school and the remainder in lower school. How many students are in lower school?
Answers
Answer:
257 students in the lower school
Step-by-step explanation:
you want to make the fractions have an equal denominator so make 1/3 5/15s and 2/5 to 6/15's, 5+6= 11/15s that leaves 4/15's for the lower part of the school
4 divided by 15 is 4.6 repeating so divide 1200 by 4.66 and boom
Can someone plsss help mee :(
Answers
Answer:I think it is 89
Step-by-step explanation:
Could you please solve these? I will give five stars if correct.
9x−17=3x+7 Solve for x
−7b−1=−5(b+3) Solve for b
Answers
Answer:
x=4 b=-4/3
Step-by-step explanation:
for b you simplify both sides of the equation, and then you get -7b - 1 = 5B + 15 then you subtract 5 from both sides which gets you to -12b - 1 = 15 then you divide both sides by negative 12 which would be negative 12 b - -12 = 16-12 which gives you the answer of -4/3.
for x you would subtract 3x from both sides which gets you to 6x - 17 = 7 and then you would add 17 to both sides which would give you 6X = 24 and then you would divide both sides by 6 which would give you x = 4