Use the linear combination method to solve the system of equations. â€""3x 8y = 16 3x 4y = 8 What is the value of x? â€""1 0 1 2.
The value of x from the system of equation is 0
Given the systems of equation
–3x + 8y = 16
3x + 4y = 8
Using the elimination method.
Add both equations
-3x + 3x + 8y + 4y = 16 + 8
12y = 24
y = 24/12
y = 2
Substitute y = 2 into equation 2:
3x + 4y = 8
3x + 4(2) = 8
3x = 8 - 8
3x = 0
x = 0
Hence the value of x from the system of equation is 0.
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if you can answer any of these that would be great !
Answer:
Step-by-step explanation:
number 2) 0
Which number line correctly shows 4.5 – 2.5?
a) A number line going from 0 to 4.5 in increments of 0.5. An arrow goes from 0 to 4.5 and then backwards from 4.5 to 2.
b) A number line going from negative 4.5 to 0 in increments of 0.5. An arrow goes from negative 4.5 to negative 2 and then backwards from 0 to negative 4.5.
c) A number line going from negative 2.5 to positive 4.5 in increments of 0.5. An arrow goes from negative 2.5 to 0 and also from 0 to 4.5.
d) A number line going from negative 4.5 to positive 2.5 in increments of 0.5. An arrow goes from 2.5 to 0 and from 0 to negative 4.5.
Answer:
its A i think
Step-by-step explanation:
Hope this helps!
A typical tip at a restaurant is 18% of the total bill. If the bill is $60, what would the typical tip be?
The typical tip would be $_________.
the height and diameter of a cylinder are 21 cm and 12 cm. find the volume of cylinder
Answer:
the answer is 6930 cm3.
Step-by-step explanation:
please mark my answer in brainlist
The table shows the population of a small town over time. The function P = 10,550(1. 1)x models the population x years after the year 2000. A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000. For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050.
The population model is most sufficient for 2005 because 2005 is the closest to 2000
The population function is given as:
[tex]P(x) = 10550(1.1)^x[/tex]
From the question, we understand that the population model is for years after 2000.
This means that the model cannot be used for the year 1950; because 1950 is before 2000.
The model can be used for years 2005, 2025 and 2050.
However, it is most sufficient for 2005 because 2005 is the closest to 2000, and the population model can change with time
Read more about population functions at:
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Answer:
B!
Step-by-step explanation:
These are samples of student work. Both students got the same answer, but did the work differently. Which student did the work correctly?
Answer:
Student B did the problem corectly
Step-by-step explanation:
Student a did 3*4 while student B did 3*3*3*3 which would equal 27
Select the four equivalent expressions to 4x^2 - 4x -24
A - 2x^2 - 2x - 12
B - 4(x^2 - x - 6)
C - 4(x - 3)(x + 2)
D - (2x - 2x)^2 - 24
E - (4x - 12)(x +2)
F - (x - 3)(4x + 8)
Answer:
b. 4(x^2 - x - 6)
c. 4(x - 3)(x + 2)
e. (4x - 12)(x +2)
f. (x - 3)(4x + 8)
hope it helps :)
mark brainliest!!
468 divided by 3 step by step solution
Answer:
156Step-by-step explanation:
468 ÷ 3
= 156
hope u liked the answer :)
#keep learningIf y varies inversely with x and y = 5 when x = 4, which equation that relates x and y?
Select one:
2th grade Student 1+1=11?!? my teacher told me that
Answer:
Not much sure if this is a joke but 1+1 is 2 not 11.
Step-by-step explanation:
I hope I helped.
Have a great day ;)
multiply the expression (1/3 m-n)^2
Answer:
{(
The difference between a and 10 is less than 5
Find the HCF of x 2 y 3 and x 3 y
Answer:
the answer is to the question is x2×y×3
Jack is 3 times as old as Lisa. If their ages together is 24, how old are they both?
A bag has 25 beads in it.the probability of picking a white bead is 3/5.how many white beads are in the bag
Select “Rational” or “Irrational” to classify each number.
(03.02) If g(x) = x2 + 2, find g(3). (2 points) Group of answer choices 9 8 11 6
this answers is 8 am I right
if valley middle school has 206 girls and the school has 450 what is the percent of how much girls are there?
Answer:
45.777777777778%
Step-by-step explanation:
Divide it
Hope this helps! ;)
WHO CAN HELP ME ON THIS? Due soon!
PLEASE NO LINKS AND NO NEGATIVITY
Answer: bring the purple column to 5 and then green to 6
Step-by-step explanation: you need to divide which results you with 5/6
Answer: It takes john 1.2 months to read one book
Step-by-step explanation:
In - order to find out the answer we need to do [ months / books ] --> 12 / 10
what is 12 divided by 10 ? 1.2
Gas grills are on sale 20% off. The sale price of the grill that I like is $399.20. What was the original price of the grill?
Answer:
499
Ste-by-step explanation
80 percent of the original price is left.
If you divide by 4 you get 99.8 which is 20% of the original price. Then if you multiply 99.8 by 5 you will get 100% of the original price which is 499
You can also do 399.2 * 1.25 = 499
What the vertex of y=4(x-3)^2+3
Answer:
(3,3)
Step-by-step explanation:
we rewrite in vertex form and use this form to find the vertex (h,k)
Help me solve this please!
Answer:
x=15
Step-by-step explanation:
if you put 8x-10=110 you can solve for x and get 15. this only works because they are opposite & congruent sides
what's 1+1 ???
enjoy!
Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. Write and solve a system of equations to determine the price of each bag of popcorn and the price of each pretzel.
Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, a system of linear equations must be proposed taking into account that:
x: price of each bag of popcorn. y: the price of each pretzel.On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. This is expressed by 2x+5y= 37.25
Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. This is expressed by 8x+9y=102.25
So, the system of equations to solve is:
[tex]\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.[/tex]
There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.
So, isolating the variable x from the first equation:
2x+5y= 37.25
2x= 37.25 - 5y
x= (37.25 - 5y)÷2
x= 18.625 - [tex]\frac{5}{2}[/tex]y
Replacing in the second equation:
8×(18.625 - [tex]\frac{5}{2}[/tex]y)+9y=102.25
Solving:
8×18.625 - 8×[tex]\frac{5}{2}[/tex]y+9y=102.25
149 - 20y + 9y=102.25
149 -11y= 102.25
-11y= 102.25-149
-11y= -46.75
y= (-46.75)÷ (-11)
y= 4.25
Finally, replacing in x= 18.625 - [tex]\frac{5}{2}[/tex]y and solving you get:
x= 18.625 - [tex]\frac{5}{2}[/tex]×4.25
x= 18.625 - 10.625
x=8
Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
Learn more about system of equations:
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1 4/8 in a improper fraction?
Step-by-step explanation:
Step 1: Multiply the whole number part (1) by the denominator (8).
1 × 8 = 8
Step 2: Add the product from Step 1 (8) to the numerator (4).
8 + 4 = 12
Step 3: Write that result (12) above the denominator. So,
[tex]\frac4{8}{1}[/tex]
Step 4: The fraction [tex]\frac{12}{8}[/tex]
Can be reduced by dividing both numerator and denominator by the GCD(12,8) = 4. Thus,
[tex]\frac1{4}{8} =\frac{3}{2}[/tex]
PLEASE HELP ME
Solve 2x^2-x>15
Show your work
Answer:
x < -5/2 or 3 < x
Step-by-step explanation:
Subtracting 15 puts the relation into a more standard form:
2x^2 -x -15 > 0
(2x +5)(x -3) > 0 . . . . . factor
The zeros of these factors are x = -5/2 and x = 3.
For values of x between those values (-5/2 ≤ x ≤ 3), the product of these factors will be negative or zero. In order for the product to be positive, x must not be in that range.
The solution is ...
x < -5/2 or 3 < x
_____
Additional comment
Several methods are taught for factoring a quadratic expression. One of my favorite is using a graphing calculator to find the zeros. If p is a zero, then (x-p) is a factor.
Another way to approach the factoring of ax^2 +bx +c is to find factor pairs of the product (ac) that have a total of b. Here, that means finding factors of 2(-15) = -30 that have a sum of -1. Consider ...
-30 = (1)(-30) = 2(-15) = 3(-10) = 5(-6)
The sums of these pairs are -29, -13, -7, -1. With the values 5 and -6, you can rewrite the quadratic expression as 2x^2 +5x -6x -15. This can be factored by grouping pairs of terms:
x(2x +5) -3(2x +5)
(2x +5)(x -3) . . . . . . . the factorization we show above.
__
You can see on the graph that the quadratic is greater than 0 when x < -2.5 or x > 3.
You are selling candy for $2 each and burgers for $5 each. You have a budget for $150. The equation for this situation can be written as 2x+5y=150
Find the x intercept and y intercept. Show all work.
If you are selling 0 burgers, how many candies did you sell? Show your work.
If you are selling 0 burgers, how many candies did you sell? Show your work.
Gary multiplied ab and ab' as shown below.
(a+b)(ab) - ab?
Is Gary's answer correct?
Answer: I believe he is wrong because when I had to do this it was (a+b)(a+b)-ab