If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers
Answer:
Step-by-step explanation:
If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers
Let us represent:.
First number = x
Second number = y
If the sum of two numbers is 4
= x + y = 4
x = 4 - y
The sum of their squares minus three times their product is 76
x² + y² - 3xy = 76
We substitute 4- y for x
(4 - y)² + y² - 3(4 - y)y = 76
(4 - y)(4 - y) + y² - (12 - 3y)y = 76
16 - 4y - 4y - y² + y² - 12y - 3y² = 76
16 -20y - 3y² = 76
3y² + 20y - 16 + 76 = 0
3y² + 20y + 60 = 0
I need a lot of heeelp pleaseee
Answer:
i think its mn
Step-by-step explanation:
its the 2 close to qs
Mister Lincoln by juices and water for the school picnic a pack of their juices box cost $5 about the six water bottles cost $3 Mister Lincoln spends $94 for a Hyundai Sonata juice boxes and bottled water.
Answer:
10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Step-by-step explanation:
Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.
Solution:
Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.
Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:
5x + 3y = 95 (1)
Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:
8x + 6y = 170 (2)
Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:
2x = 20
x = 10
Substitute x = 10 in equation (1):
5(10) + 3y = 95
50 + 3y = 95
3y = 45
y = 15
Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Factor x⁴y² + x³y³.
A. x 3y 2(x + y)
B. x³y² (x + 1 )
C. x²y² (x + y)
Answer:
A..........,..,......
Step-by-step explanation:
....,.............
Quincy has box of cereal to eat over 6 days. If he splits the box into equal portions, how much will he eat each day?
Answer:
1/6 of the cereal box
Step-by-step explanation:
Write as an addition problem: 22 - (-8)
Step-by-step explanation:
22+8
I think this ans may help you
Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12
A.) Subtract 11-5.
B.) Subtract 12-5.
C.) Add 11+5.
D.) Add 12+4.
Answer:
D.) Add 12+4
Step-by-step explanation:
I took the test on Edge 2021.
need help asap! will give brainliest<3
Answer:
(B)
Step-by-step explanation:
PLEASEEEEEE!!! help with this
PLEASE EXPLAIN HOW TO DO THIS LIKE IN STEPS AND EVERYTHING
Explain, in detail, the steps on how to factor the following trinomial.
3x^2+5x +2
Answer:
(3x+2)(x+1)
Step-by-step explanation:
Given the quadratic equaton;
3x^2+5x +2
Factorize
(3x^2+3x+)(2x+2)
Factor out the common value from each bracket
3x(x+1) + 2(x+1)
3x+2(x+1)
Hence the factored form is (3x+2)(x+1)
Shirley went shopping in a mall. She reached the mall 12.5 minutes later than her usual time. While returning she took 20 minutes more than twice her usual time to reach home. If the usual time she takes to reach the mall is 40 minutes, find the total number of minutes Shirley spent going and coming back from the mall.
Answer:
Total time Shirley spent going and coming back from the mall= 152.5 minutes
Step-by-step explanation:
Usual time it takes to reach mall from home = 40 minutes
New time she took to reach the mall=12.5 minutes later than her usual time
= 40 minutes + 12.5 minutes= 52.5 minutes
New time she took to reach home ( lets assume she followed the same route as coming from home in which she spends 40 minutes) =20 minutes more than twice her usual time to reach home.=20 minutes + 2(40)= 20 minutes + 80 minutes
=100 minutes
Total time going and coming back from the mall =52.5 minutes +100 minutes = 152.5 minutes
A player kicks a soccer ball resting on the ground. The height of the ball, h(t) in feet, after t seconds can be represented by the function h(t) = -16+2 +96t.
Use this information to answer the two questions that follow.
Part A: What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?
seconds
Part B: When will the ball reach its maximum height?
After seconds
Answer:
Part A: 6
Part B: 3
Step-by-step explanation:
trust me.
Answer:
6 seconds
After 3 seconds
Step-by-step explanation:
h(t) =-16t^2+96t
a=-16
b=96
c=0
96/2(-6) =3
Max = 3
(0,)
(6,0)
ht/t = 16t^2+96/t
What is the difference?
Answer:
I WAS WRONG PICK D
Step-by-step explanation:
I'm an idiot
The table shows two linear functions and the function values for different values of x.
Which expression represents h(x)?
A. (f ∙ g)(x)
B. (g + f)(x)
C. (f – g)(x)
D. (g – f)(x)
Answer:
the answer is A. (f ∙ g)(x)
Step-by-step explanation:
i got it wrong twice, and then it told me the answer
Answer:
its A
Step-by-step sussy vent imposter baka :) ;0
45x^4 + 72x^3 is factored form
Answer: 9 x 3 ( 5 x + 8 )
Step-by-step explanation:
Factor 9 x 3 out of 45 x 4 + 72x 3 .
There are 150 adults and 255 children at a zoo. The zoo makes a total of $4,500 from the entrance fees, and the cost of an adult and a child to attend is $23. how much does it cost each for a parent and a child? Let a represent an adult. Letc represent a child. Enter a system of equations to represent the situation, then solve the system. The system of equations is and The adult tickets cost $ and the child tickets cost $
Answer:
y+x=31, 150x+225y=5100.
y=-x+31
150x+225(-x+31)=5100
-75x=-1875
x=25 (adult tickets are $25)
31-25= 6 (child tickets are $6)Step-by-step explanation:
Answer:
Parent: $25
Child: $6
Step-by-step Explanation:
y+x=31, 150x+225y=5100
y=-x+31
150x+225(-x+31)=5100
-75x=-1875
x=25 (adult tickets are $25)
31-25= 6 (child tickets are $6)
I hope this helped :D
The price have changed from $120 to $75. By how many
percent did it change?
Plz show how you did it
Answer:
around 37%
Step-by-step explanation:
120 × (1 - 37%) = 120 × (1 - 0.37) = 75.6
if im being honest i used calculator . net's percentage calculator
Is the following triangle congruent by SAS, ASA, or SSS? Why?
Answer:
ASA
Step-by-step explanation:
As it is shown
m<A = m<Z
m<Y = m<C and
|YZ| = |AC| so the triangles are congruent by ASA
Which Paris of triangle must be similar?
Triangles 1 and 2 are equilateral
What is 30% of 42?
I’ve given up on my hw pls help
Answer:
12.6 is the answer! happy to help ya :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
42(30/100)
12.6
Challenge. A large university accepts 60% of the students who apply. Of the students the university accepts, 50% actually enroll. If 10,000 students apply, how many actually enroll?
Answer: 3,000
Step-by-step explanation:
Apply= 10,000
University Accept= 10,000*60% = 6,000
Enroll= 6,000*50% = 3,000
If you borrow $491 for one year at an interest rate of 9%, how much interest will you pay?
Answer:
44.19
Step-by-step explanation:
419*0.09=44.19
help pleasseeeeeeeeee
Answer:
B, C, E, F
Step-by-step explanation:
Use multiplication to solve the proportion. a/6 = 15/2
Answer:
[tex]\frac{a}{6}[/tex] = [tex]\frac{15}{2}[/tex]
2a = 6 · 15
2a = 90
a = 45
Step-by-step explanation:
Find the number of terms in this polynomial. 7g7 + 10g4 – 6g3 + 3g2 - g
Answer:
If you have more than 4 terms you say polynomial with the certain number of terms you have. So the answer to this is polynomial with 5 terms.
Hope this helps.
Num projeto, o desenho de um jardim tem a forma de um triângulo retângulo onde a hipotenusa mede 4,5 cm. A escala utilizada foi de 1:200. Qual é o comprimento real desse lado do jardim (hipotenusa)? Apresenta a resposta em metros.
Answer:
9 metros
Step-by-step explanation:
Da pergunta acima
Fator de escala =
Medida correspondente: Representação do objeto
= 1: 200cm
Conseqüentemente:
1 cm = 200 cm
4,5 cm = x cm
x cm = 4,5 × 200 cm
x cm = 900 cm
O comprimento real deste lado do triângulo (hipotenusa) = 900cm
Pediram-nos para converter para metros
100cm = 1 m
900cm = xm
Multiplicação cruzada
100 cm × xm = 900 cm × 1 m
xm = 900 cm × 1 m / 100cm
xm = 9m
O comprimento real deste lado do triângulo (hipotenusa) em metros = 9 metros
Three sisters have ages that are consecutive odd integers. The sum of their ages is 57. Find the age of each sister.
Answer:
The answer is 17 19 and 21
hope i could help!
An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the
platform above the ground.
Answer:
78.3 or 78.29
Step-by-step explanation:
We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.
Opposite/Hypotenuse
We use this equation
[tex] \sin(theta) = \frac{opp}{hypo} [/tex]
Plug in the values
[tex] \sin(31) = \frac{x}{152} [/tex]
Which is about 78.29
please help! thank u!
Step-by-step explanation:
I cannot see the correct value so u check yourself. but this is the correct graph.
Find x ( transversals relations )
Answer:
x = 12
Step-by-step explanation:
(8x - 34) and (5x + 2) are alternate angles and congruent, then
8x - 34 = 5x + 2 ( subtract 5x from both sides )
3x - 34 = 2 ( add 34 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
write a linear equation of a line that goes through (8,0) and (-6,7)
Answer:
Line equation: y=−0.5x+4
Slope: -0.5
Intercept: 4
Step-by-step explanation: