The tables represent two linear functions in a system. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4. What is the solution to this system? (1, 0) (1, 6) (8, 26) (8, –22)
Answers
We want to solve a system of linear equations, we will get that the solution is (8, -22)
A system of equations is a group of equations that we must solve simultaneously.
Here we have two lines defined by tables:
line 1:
x y
-4 26
-2 18
0 10
2 2
line 2:
x y
-4 14
-2 8
0 2
2 -4
Remember that a line is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:
With this we can find the slope of the first line, using any pair of the given points, I will use (0, 10) and (2, 2)
And we know that the line passes through (0, 10), then the y-intercept is equal to 10.
y = -4*x + 10
For line 2 we can use the points (0, 2) and (2, - 4), so we get:
And the y-intercept is y = 2, then the line is:
y = -3*x + 2
Now we must solve:
-4*x + 10 = -3*x + 2
10 - 2 = 4x - 3x
8 = x
Now we evaluate x = 8 in any of the two lines:
y = -3*8 + 2 = -22
Then the solution of the system is (8, -22)
If you want to learn more, you can read:
Answer:
(8,-22)
Step-by-step explanation:
i just took the test and checked
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Write this polynomial in descending form 5x3 + 2x + 7x5
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Answers
Part B: What method is used to factor p(x)=8x3+12x2+2x+3?
Select one answer for Part A and select one answer for Part B.
B: perfect-square trinomial
B: grouping
A: (2x+3)(4x+1)
B: sum of cubes
A: (4x2+1)(2x+3)
A: (2x+3)(4x2+6x+1)
Answers
A:
B: grouping
Step-by-step explanation:
We are given the polynomial:
Part A: What is the correct factorization of over the integers?
We need to factorize the term
Factorizing by grouping:
So, factors of the term are
Part B: What method is used to factor p(x)=8x3+12x2+2x+3?
The method used to factor the given polynomial is grouping.
We group the terms and then find the common terms in that specific group
So, the answers are:
A:
B: grouping
Keywords: Finding Factors
Learn more about finding factors at:
#learnwithBrainly
change direction but are now perpendicular
no longer parallel because one line changed direction
no longer parallel because two lines changed direction
Answers
Answer:
the first one
Step-by-step explanation:
if you have a ladder with no steps and it is leaning on a wall it will be facing up if you carry that ladder sideways it will still be parrallel to the opposite poles
if this confuss you I will answer again
Answers
f(7) = 2.7 + 12
f(7) = 14 + 12
f(7) = 26
He/She needs 26 - 10 = 16 dollars
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25% of its price(Discount)= 25/100*130 =$ 32.50
Price after discount = $130-$32.50 = $97.50
Amount Josie has = $90
Amount Josie needs more = 97.50 - 90 = $7.50
25% = 25
100 - 25 = 75
($130 × 75) ÷ 100 (to get the answer as a percentage) = $97.50.
If Josie has $90, you work out how much more she needs by doing $97.50 - $90, which is $7.50.
The answer is $7.50.