What is the solution to the system of equations graphed below? y = x - 2 y = 4x - 5
Answers
The substitution method is used to eliminate one of the variables by replacement.
The elimination method is used for solving linear systems.
A Matrix is an array of numbers.
Lets use Substitution to solve this system.
Now substitute
Hence -
Answer:
1, -1
Step-by-step explanation:
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Sheila bought 10 1⁄2 oz of almonds for $3.36. How much did the almonds cost per ounce?
Answers
Answer:
Step-by-step explanation:
Hi,
We see the plot line below, which shows that three crosses above buttons, that means we have three such buttons available with us.
To find their total lengths, we have two methods:
- We can add the lengths of all buttons, that means add
thrice
- Or simply multiply
changing this improper fraction into a mixed fraction: will be the total length of three buttons lined up.
Answers
2(x+3)
2x-3
2x+3
2(x-3)
Answers
Answer:
The fourth answer choice is the correct one: 2(x - 3)
Step-by-step explanation:
2x²-18x+36/x-6 should be factored, as follows:
2(x²-9x+18) / (x-6) = 2(x - 3) (x - 6) / (x - 6)
Substituting x = 6 would result in division by zero and is thus not allowed.
Remembering this, we can reduce 2(x - 3) (x - 6) / (x - 6) to 2(x - 3) for x≠6.
a^4(3a ^2 - 2a + 1)
Answers
a⁴(3a² - 2a + 1)
We just have to multiply each term inside the parentheses by a⁴ .
a⁴(3a² ) = 3a⁶
a⁴( - 2a ) = -2a⁵
a⁴( 1) = a⁴
Now, just addum up : 3a⁶ - 2a⁵ + a⁴
Answer:
3A^6-2a^5+a^4
Step-by-step explanation:
Simplify these: 9-7x x-4
------- + ---------
x+7 x+7
7x 11x
----- - ------
x-7 x-7
9x 14x
----- - --------
x+9 x+9
3x-4 x-9
------- - ------
x +6 x +6
x-3 x-4
----- + --------
2x 6x
11 3
----- + ------
x+9 x-2
1 1
----- - -------
x²-x x
Answers
Same denominator so ((9-7x)+(x-4))/(x+7)
Final answer:
(5-6x)/(x+7)
Second one:
Again same denominator so ((7x)-(11x))/(x-7)
Final answer:
(-4x)/(x-7)
Third one:
Same denominator again, ((9x)-(14x))/(x+9)
Final answer:
(-5x)/(x+9)
Fourth one:
Same denominator again, ((3x-4)-(x-9))/(x+6)
Final answer:
(2x+5)/(x+6)
Fifth one:
Different denominators here, so we have to make them them same. We do this by multiplying the first fraction by 3/3 to get (3x-9)/(2x), so ((3x-9)+(x-4))/(6x)
Final answer:
(4x-13)/(6x)
Sixth one:
This one is trickier, we have to multiply each by the others denominator, so ((11)*(x-2))/((x+9)*(x-2)) and ((3)*(x+9))/((x-2)*(x+9)) to get
(11x-22)/(x^2+7x-18) and (3x+27)/(x^2+7x-18)
Final answer:
(14x+5)/(x^2+7x-18)
Last one:
You can change the first fraction to 1/(x*(x-1)), then multiple the second fraction by (x-1)/(x-1) to get (x-1)/(x^2-x). Now add them.
Final answer:
(2-x)/(x^2-1)
Hope I helped :)
Answers
Answer:
(4,1)
Step-by-step explanation:
The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).
To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.
To find the y-coordinate, input the x=4 and solve for y.
The vertex is (4,1).