Answer:
Step-by-step explanation:
i showspeed
if 3x+4y=11 and xy=2 solve simultaneously
Answer:
(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
Step-by-step explanation:
3x + 4y = 11 → (1)
xy = 2 ( divide both sides by y , y ≠ 0 )
x = [tex]\frac{2}{y}[/tex] → (2)
Substitute x = [tex]\frac{2}{y}[/tex] into (1)
3([tex]\frac{2}{y}[/tex] ) + 4y = 11
[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )
6 + 4y² = 11y ( subtract 11y from both sides )
4y² - 11y + 6 = 0
Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term
product = 4 × 6 = 24 and sum = - 11
The factors are - 8 and - 3
Use these factors to split the y- term
4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )
4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term
(y - 2)(4y - 3) = 0
Equate each factor to zero and solve for y
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]
y - 2 = 0 ⇒ y = 2
Substitute these values into (2)
y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )
y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
what is the difference of 256,805+136,667
Determine the number of solutions the system of 6(x+2)=y and y=3(2x+3) will have.
Answer:
0 solutions
Step-by-step explanation:
The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.
__
The equations can be put into slope-intercept form by eliminating the parentheses.
6(x +2) = y ⇒ y = 6x +12
y = 3(2x +3) ⇒ y = 6x +9
These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.
Is f(x)=x^3-x symmetric about the origin
Answer:
-24 po
Step-by-step explanation:
thanks for the points
There are 50 sheets of scrapbook paper in a pack, and 20% of them are striped. How many sheets of scrapbook paper are striped? Pick the model that represents the problem. How many sheets of scrapbook paper are striped?
Answer:
10 sheets of paper are striped
Step-by-step explanation: Make a proportional relationship.
20% as a fraction is 20/100
Make 50 into a fraction using a variable. For example, x/50
Cross multiply 20 and 50. That equals 1000.
Then divide 1000 by 100 and that equals 10. So 10 sheets of paper are striped.
Hope this helps!
Will took a nap for 2 hours and 40 minutes. If he woke up at 5:05 what time was it when he started his nap
2:15 because when you add 2 hrs you get 4:15. Add another 40 min and you get 5:05.
answer: 2:15
explaination :
What is the distance between (-4,-8) and (2,3)?
Answer:
Always computable as rightmost x value minus leftmost value: 4 - (-8) = 12
In quadrilateral ABDC, AB // CD. Which additional piece of information is needed to determine that ABDC is a parallelogram? overline AB cong overline CD O overline AC cong overline BD OAB overline AB perp overline BD; overline CD perp overline BD
Answer:
AC is parallel to BD
Step-by-step explanation:
A parallelogram is a quadrilateral with two pairs of parallel sides.
Solve the following inequality.
-9 < 5 + 2.0 < -5
[?] < x <[
]
Step-by-step explanation:
you work with it like with regular equations :
-9 <= 5 + 2x <= -5
-14 <= 2x <= -10
-7 <= x <= -5
HELPPPPPPPPPPP! I will give brainliest to person who answers
Chanelle selects a marble from the container and then returns it to the container. When she does this 3 times, the probability of choosing a red marble all 3 times is 1/216. based on this info, what is the probability of Chanelle choosing a red marble the first time she selects a marble? (1) 1/72 (2) 1/36 (3) 1/8 (4) 1/6
Answer:
4
Step-by-step explanation:
I just multiplied 6 three times by itself to get 216 and that is how I got 1/216 or 4 as the answer
Answer:
1/6
Step-by-step explanation:
1/216 is the same as 1/6*1/6*1/6. This is 3 times, so the probability is 1/6.
harry is x years old now. three years ago, jenny was twice harry's age. in three years time, ahmed will be five times as old as jenny. write an expression for ahmed's age now
Harry is x years old now.
Harry was x-3 years old three years ago.
Three years ago, Jenny was 2(x-3)=2x-6 years old.
Now, Jenny is 2x-6+3 years old.
In three years time, Jenny will be 2x-6+3+3=2x years old.
In three years time, Ahmed will be 5(2x)= 10x years old.
Hope this helped you-have a good day bro cya)
0.000456 in scientific notation (Please answer fast this is on my final math exam!)
Answer:
0.000456 in scientific notation
= 4.56 × 10-4
Step-by-step explanation:
Can I have brainliest?
0.000456 in scientific notation is 4.56 × 10-4
Do number 12 on the pic
Answer:
$21.83
Step-by-step explanation:
The amount spent will be the difference between the starting balance and the ending balance:
18.53 -(-3.30) = 18.53 +3.30 = 21.83
You spent $21.83 on lunch this week.
i need help with this question but keep f
getting decimals, it's not supposed to be a decimal for the answer. were solving systems by substitution
here's the question and will give brainy to someone who solves both
4x - 7y = 10
y = x - 7
x = 16 - 4y
3x + 4y = 8
Answer:
1. y=18, x=25 2. y=5, x=-4
Step-by-step explanation:
For the first one, you have to find what x or y equals, and I chose x. x would equal y+7. Then I just plugged in x to the other equation and solved for y. After finding y, 18, I plugged it back into the first equation and got 18+7=25. I did the same steps for the 2nd one as well.
need a step by step explanation pls help me
Answer:
This is my guess...
"Even today, the need for work is a common reason people move to urban areas."
Step-by-step explanation:
The article talks about technology and how it lead to bigger cities in the past. Because we are reading about prior years, there is no need to talk about the present day.
5у2х 1.5y
If you could do this asap ty
Answer:
[tex]2.5y^{3}x[/tex]
Select the number line model that matches the expression | -6 - (-3)∣
Kristen and Marina are making prisms out of cardboard using the designs shown below.
Whose design uses more cardboard, and by how many square inches? Show how you determined your answer.
Answer:
kristen
Step-by-step explanation:
Plug in missing values to make it a function…. Please help
Answer:
p = 5
Step-by-step explanation:
Judging from (0,0) and (10,-20) as given in the chart, the function is y = -2x.
Substituting that for the second row, you would get the equation -10 = -2x.
Simplifying, you get x = 5, so the value of p is 5.
Answer:
5
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
m = (-20-0)/(10-0)
= -20/10
= -2
We know the slope and have two points, (0,0) and (p,-10)
-2 = ( -10-0)/(p-0)
-2 = -10/p
Multiply each side by p
-2p = -10
Divide each side by -2
p = -10/-2
p = 5
name the coefficent 5x+10
Answer:
Coefficient is 5
Step-by-step explanation:
Coefficient means a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
Hope this is helpful.
Math
Convert from fraction to decimal. 5/8
Answer:
5/8=0.625
Step-by-step explanation:
5/8=decimal
5/8=0.625
Hope this helps :)
Answer:
0.625
Step-by-step explanation:
We know that 1/8= 0.125, so to get 5/8 as a decimal you would do 5 times 0.125.
Is it possible to draw a triangle whose sides have lengths 10.3 cm, 5.8 cm and 4.6 cm?Justify your answer.
(answer me fast kid)
Answer:
Yes it is possible
Step-by-step explanation:
let a = 10.3, b =5.8 , c= 4.6
a+b= 16.1>4.6=c
b+c=5.8+4.6=10.3>10.3=a
c+a=4.6+10.3=14.7>5.8=b.
Please help and no links;)
Answer:
3w + 8 = 2
Step-by-step explanation:
product of a number and 3 is w * 3
eight more than the above is 3w + 8
which is equal to 2
3w + 8 = 2
The monthly rent of Marilyn's house went from $500 to $440, If p is the
percent decrease in the rent, which proportion can be used to calculate p?
A)
р
100
OB)
$440-$500
$440
р
100
$440-$500
$500
$500-$440
$440
$500-$440
P
100
OD)
р
100
$500
Answer:
p=v-u/t440-500=-60 this is decreasing in the rent so it decreased
A rectangle has an area of 1,450.8 square inches and a base of 37.2 inches. What is the height?
Answer:
39
Step-by-step explanation:
1450.8 / 37.2 = 39
What is the value of this expression?
−29−(−13÷35)
Answer:
-29 13/35
Step-by-step explanation:
distributive property
Answer:
that's have no answer so sorry
The length of a rectangle is (2x + 1). The width of the rectangle (x2+ 2x - 1). Which expression represents the area of the rectangle?
Answer:
Area = 2x³ + 5x² - 1
Step-by-step explanation:
Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):
The formula for solving the area of a rectangle is given by:
Area of a rectangle = Length × Width
In order to solve for the area of a rectangle, simply multiply the given length by the width.
length (L) = (2x + 1)
width (W) = (x² + 2x - 1)
A = L × W
A = (2x + 1)(x² + 2x - 1)
Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):
A = 2x³ + 4x² - 2x + x² + 2x - 1
Combine like terms:
A = 2x³ + 5x² - 1
Therefore, the area of a rectangle is: 2x³ + 5x² - 1.
Please help
A
B
C
D
E
F
Answer: B. SAS or/and E. HL
Step-by-step explanation:
The two triangles both have a right angle of 90 degrees and two sides that are congruent so, SAS (side-angle-side). It can also be by HL since they both have a hypotenuse (the 2 lines) and one leg (the 1 line) that are congruent to each other.
Help I need a helping hand
A boat travels at a rate of 30 miles per hour for 3.5 hours. Let y be the distance, in miles, the boat travels for a given amount of time, x, in hours. This situation can be modeled by a linear function. What is the domain of the function?
Question 11 options:
0≤y≤30
0≤y≤3.5
0≤x≤3.5
0≤x≤30
Answer:
Step-by-step explanation:
Recall that distance = (rate)(time). Here the rate is 30 mph and the time 3.5 hr. The distance traveled is proportional to the time passing by. The graph of the distance function is a straight line with slope equal to the "rate" named above:
d(x) = (30 mph)x
Since x (elapsed time) can't be negative in this situation, we write the domain as 0 ≤ x ≤ 3.5 hr.