Answer: The answer is the Median(D)
Step-by-step explanation:
Answer:
Median
Step-by-step explanation:
I'm guessing you mean to say that sum of 5 consecutive odd numbers is 135. In that case, let x be the first number. Then
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 135
5x + 20 = 135
5x = 115
x = 23
So the numbers are 23, 25, 27, 29, and 31.
If you really did mean 555 consecutive odd numbers summing to 135,135,135, the process is the same, but you would find a non-integer solution so that wouldn't be possible.
Answer:
The answer is 25
Step-by-step explanation:
I got this answer on Khan Academy
Hope this helps! :)
finda. ∪ b. ∩ c. d.
Answer:
h3llo
Step-by-step explanation:
hey the answer is in your heart
Select EACH correct answer.
Answer: x = {-3, -1, 1, 7}
Step-by-step explanation:
f(x) = x⁴ - 4x³ - 22x² + 4x + 21
possible roots are: +/- 1, 3, 7, 21
Let's try x = 1
1 | 1 -4 -22 4 21
| ↓ 1 -3 -25 -21
1 -3 -25 -21 0 remainder is 0 so (x - 1) is a factor
(x - 1)(x³ - 3x² - 25x - 21)
Next, let's try x = -1
-1 | 1 -3 -25 -21
| ↓ -1 4 21
1 -4 -21 0 remainder is 0 so (x + 1) is a factor
(x - 1)(x + 1)(x² - 4x - 21)
Then, factor the third polynomial
(x - 1)(x + 1)(x + 3)(x - 7)
Now, set each factor equal to zero and solve each one.
(x - 1) = 0 ⇒ x = 1
(x + 1) = 0 ⇒ x = -1
(x + 3) = 0 ⇒ x = -3
(x - 7) = 0 ⇒ x = 7
Answer:
-3, -1, 1, 7
Step-by-step explanation:
Evaluate the function at each x value in the choices. If the polynomial evaluates to zero, then that x value is a solution.
f(-3) = (-3)^4 - 4(-3)^3 - 22(-3)^2 + 4(-3) + 21 = 0
x = -3 is a solution
f(-1) = (-1)^4 - 4(-1)^3 - 22(-1)^2 + 4(-1) + 21 = 0
x = -1 is a solution
f(0) = (0)^4 - 4(0)^3 - 22(0)^2 + 4(0) + 21 = 21
x = 0 is not a solution
f(1) = (1)^4 - 4(1)^3 - 22(1)^2 + 4(1) + 21 = 0
x = 1 is a solution
f(3) = (3)^4 - 4(3)^3 - 22(3)^2 + 4(3) + 21 = -192
x = 3 is not a solution
f(7) = (7)^4 - 4(7)^3 - 22(7)^2 + 4(7) + 21 = 0
x = 7 is a solution
Answer:
1) x intercept-> 24
y intercept-> -6
2) slope-> 1/4x
3) i posted the screenshot in the description
4) -20 cups- -1 dollar
(20*.25)-6
-30 cups- 1.5
-40 cups- 4 dollars
5)- $1 -> 4
$10->40
$100-> 400
Step-by-step explanation:
hope this helps!
4 cm
10 cm
76 cm
2400 cm
To find the length and width of the wall of the barn, set up an equation using the given information. Solve the equation by factoring, and find the values of x and x + 12, which will be the width and length of the wall, respectively. The width of the wall is 6 feet, and the length is 18 feet.
To find the length and width of the wall of the barn, we can use algebra. Let's say the width of the wall is x. According to the problem, the length is 12 feet longer than the width, so the length is x + 12.
The area of a rectangle is found by multiplying the length by the width, so we can set up the equation
x(x + 12) = 108.
Solving this equation will give us the values of x and x + 12, which will be the width and length of the wall, respectively.
The equation is x(x + 12) = 108.
Expanding the equation gives x^2 + 12x = 108.
Rearranging the equation to bring everything to one side gives
x^2 + 12x - 108 = 0.
Factoring the quadratic equation gives (x + 18)(x - 6) = 0.
Setting each factor equal to zero gives x = -18 or x = 6.
Since we can't have a negative width, the width of the wall is 6 feet.
Therefore, the length of the wall is x + 12 = 6 + 12 = 18 feet.
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