The solutions are : solution of the following system of equations are:
(- 1/2, 1/2)
(- 1, 2)
Here, we have,
The given system of equations is expressed as
y = 2x²- - - - - - - - - - - - - - -1
y = - 3x - 1- - - - - - - - - -- - - -2
We would apply the method of substitution by substituting equation 1 into equation 2. It becomes
2x² = - 3x - 1
2x² + 3x + 1 = 0
We would find two numbers such that their sum or difference is 3x and their product is 2x².
The two numbers are 2x and x. Therefore,
2x² + 2x + x + 1 = 0
2x(x + 1) + 1(x + 1) = 0
2x + 1 = 0 or x + 1 = 0
x = - 1/2 or x = - 1
Substituting x = - 1/2 into equation 1, it becomes
y = 2(-1/2)² = 1/2
Substituting x = - 1 into equation 1, it becomes
y = 2(-1)² = 2
Hence, The solutions are : solution of the following system of equations are:
(- 1/2, 1/2)
(- 1, 2)
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if (a+b)^2=10, if ab=-2 calculate a^2+b^2
Answer:
a^2+b^2=(a+b)²-2ab=10-2×-2=10+4=14(here -×-=+)
the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the sequence is 20. find the 6th term of the sequence
Answer:
54
Step-by-step explanation:
Tn = an²+bn
T2 = a2²+2b
2 = 4a +2b
Multiply all through by 2
4 = 8a +4b
4b = 4-8a
T4 = a4² + 4b
20 = 16a +4b
4b = 20-16a
4-8a = 20-16a
16a -8a = 20-4
8a = 16
a = 16/8 = 2
4b = 4-8a = 4-8(2) = 4-16 = -12
b = -12/4 = -3
T6 = a6² + 6b
T6 = 2(36) + 6(-3) = 72 -18 = 54
Answer:
54
Step-by-step explanation:
What is A number y divided by 9 is less than or equal to 17?
Answer:
the answer to what divided by 9 equals 17 is 153. You can prove this by taking 153 and dividing it by 9, and you will see that the answer is 17
How much will it cost Tom if he used his cell
phone for 850 minutes in one month?
Tom's basic cell phone plan charges
$79.99 for service plus $0.18 per minute
beyond the included 800 minutes in the
plan. How much will it cost Tom if he used his cell phone for 850 minutes in one month?
Answer:
88.99
Step-by-step explanation:
his plan includes 800 minutes for 79.99, all we need to do is calculate the cost of the extra 50mins he used and add it to 79.99. this is ((850-800)*0.18) +79.99 and this is equal to 88.99
What is the answer to 3x(2 1/5)=
Answer:
(6 3/5) * (x)Step-by-step explanation:
3x(2 1/5)= (6 3/5) * (x)
Answer:
6 3/5
Step-by-step explanation:
9+3+8+100+12+100+12+34+28+
Answer:
306
Step-by-step explanation:
LOL
Answer:
306
Step-by-step explanation:
so 9+3=12+8+100=108+12=120+34=154+28=182 then u add it all together
What is the equation for the line of reflection?
x=6
hopefully im not wrong^^
Whats the correct answer and show me how u got it and Ill give u the brainlest please help
The annual state budget for Texas is 108.0 billion with a population of 29.00 million residents. Round all scientific answers with two decimals with no spaces.
Example: 1.23x10^4 or 1.23E4
Write the Budget in scientific notation. 1 point Budget:
Write the population in scientific notation. 1 point Population:
Round to a whole number for the next part:
Calculate the Budget Per Capita and write your answer in standard notation. 2 points
On your paper only: Use the budget per capita in a meaningful sentence.
Question 1
The quotient of 100 and n is equal to 20.
Write an equation to describe this situation.
Equation:
What is the answer to - y¹⁵・- y¹² ?
Answer:
y^3
Step-by-step explanation:
- y^15-12
two negatives is a positive
Need to find the greatest common factor
Answer: The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.
Step-by-step explanation:
What is the value of the expression 8w−4j2 when w=0.25 and j=0.5?
Answer:
-2
Step-by-step explanation:
Evaluate the expression 7'2/x'2-2 for X=3
Answer:
7
Step-by-step explanation:
7²÷3²-2 = 49/9-2 =49/7 =7
A toy robot and it’s pet robot together weigh 204 kg. Four times the weight of the pet robot is 4 kg less then the weight of the toy robot. How much does each toy robot weigh?
what is the equation of a straight line that is parallel to the line 4y=3x+5
Answer:
4y+5=3x, 4 y + 5 = 3 x .
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
Step-by-step explanation:
hope it's going to work ☺y = -3x + 5? *
What’s the slope of the equation y =-3x+5
Answer:
The slope is -3
Step-by-step explanation:
The formula is y= mx + b
m = slope
b= y intercept
Therefore, the slope is -3
8. The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)
Answer:
116
Step-by-step explanation:
8
=36
11 - m = 51 - 6m solve for m
This should be the answer if not let me know
2/2m=8 2/2
Answer: m = 8.
Step-by-step explanation: Proof:
From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is
the tower (remember: 3 decimal places)?
The height of the tower is [A] m.
Answer:
42.537 m
Step-by-step explanation:
Let x = height of tower
tan 28 = x/80
x = 80 tan 28
x = 42.537 m
Cindy works 4c hours each day from Monday to Friday. She works 7c on Saturday. Cindy does not work on Sunday. Find the number of hours Cindy works in one week in terms of c
How many quarts will you get if you mix 5 gallons 5 quarts and 6 pints
Answer:
28
Step-by-step explanation:
There are 4 quarts in a gallon, and since we have 5 gallons that gives us 20 quarts. Then we add the 5 quarts to give us 25 quarts. Finally, there are 2 pints in quart, so that gives us 3 quarts. Add those last three quarts and we get 28 quarts in all.
Total quarts when you mix 5 gallons 5 quarts and 6 pints is, 28 quarts
We have to given that,
To find total quarts if you mix 5 gallons 5 quarts and 6 pints.
Since, 1 gallon = 4 quarts
Hence, 5 gallons = 5 x 4 = 20 quarts
And, 1 pints = 1/2 gallons
Hence, 6 pints = 6/2 gallons
= 3 gallons
So, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,
20 + 5 + 3
28 quarts
Therefore, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,
28 quarts.
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The sum of two numbers is 16. Find the two numbers and their product if their product is to be a maximum
It ia 16 espero ter ajudado
The perimeter of a shape shows a car racing track, how far does a car travel in a race which consists of 23 laps 1.2km , 1.2 km 1.2km
Answer:
110.4km
Step-by-step explanation:
1 lap is equal to 4.8
4.8×23=110. 4
(Need someone to confirm)
what is 20/4 - 8 please help
Answer:
-3
Step-by-step explanation:
Multiply and divide {left to right}:
20/4 = 5
Add and subtract {left to right}:
5 - 8 = -3
{Negative + Positive = Negative}
Fraction:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(20/4, 8/1) = 4
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
[tex](\frac{20}{4} *\frac{1}{1} )-\frac{8}{1} *\frac{4}{4} )=[?][/tex]
Complete the multiplication and the equation becomes
[tex]\frac{20}{4} -\frac{32}{4} =[?][/tex]
The two fractions now have like denominators so you can subtract the numerators.
Then:
[tex]\frac{20-32}{4} = \frac{-12}{4}[/tex]
Since -12 divided by 4 equals -3 then,
[tex]\frac{-12}{4}=-3[/tex]
Therefore, -3 is the correct Answer or Fraction form = -1/3
[RevyBreeze]
what is the purpose of the dx in the integral ∫2x dx?
Answer:
[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex]
Step-by-step explanation:
The integration refers to the antiderivative of a function. The inverse process of differentiation is the integration.
The integration is used to find the volume and area under the curve.
In ∫ [tex]2x\,\,dx[/tex]
∫ denotes the sign of integral,
[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex],
[tex]2x[/tex] is the part to be integrated.
Three consecutive integers have a sum of 48. Find the integers.
Answer:
15,16,17
Step-by-step explanation:
Consecutive intigers: numbers that go in order (eg. 1,2,3....45,46,47)
x+x+1+x+2=48
3x+3=48
3x=45
x=15
15,16,17
Matematik 5. Sınıf Test Kitabı Arıyorum. Önerilerinizi Yazarsanız Sevinirim.
Answer:
Matemito Matematik Atölyem 5 - Arı Yayınlarının
Step-by-step explanation:
Hoca Kaynak olarak aldırdı çok iyi.
Steps to solve 5x +3 = 25x – 2
Answer: so you have to rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation. There are 3 possible answers x=1
x=6
x=0
I hope this helps if not I’m rlly sorry.
OK LAST ONE BUT PLEASE HELP 20 POINTS
How do you solve a system of equations approximately using tables, without graphing or writing equations?
Answer:
Solve for y, graph it, and then find where the lines intersect.You can take a table and put in all the x and y values. Then graph it. And see where it intersects. Because usually, these equations are lines
Plz help me :) dropdowns
1) vailid/ not valid
2) unbiased/biased
3)appropriate/ inappropriate
Answer:
1
Step-by-step explanation: