Answer:
k = 15
Step-by-step explanation:
∵ x² - 8x + k = 0 ⇒ has two roots x1 and x2
∵ ax² + bx + c = 0 has two roots
∴ The sum of roots = -b/a and the product of them = c/a
∵ a = 1 , b = -8 and c = k
∴ x1 + x2 = -(-8)/1 = 8
∴ x1 + x2 = 8 ⇒ (1)
∵ 3x1 + 4x2 = 29 ⇒ (2)
Multiply (1) by -4
∴ -4x1 - 4x2 = -32 ⇒ (3)
Add (2) and (3)
∴ -x1 = -3
∴ x1 = 3
By substituting value of x1 in (1)
∴ 3 + x2 = 8
∴ x2 = 5
∴ The roots are 3 and 5
∴ c/a = 3 × 5 = 15 ⇒ (a = 1)
∴ c = 15
∴ k = 15
Answer:
4381.7
Step-by-step explanation:
26290 divided by 6 is 4381.71333333
since 3 is less than 5 and 1 is less than 3 all the nubers get eliminated.
Slope is -2/3 and y-intercept is 400
Step-by-step explanation:
- Step 1: The slope-intercept form of an equation is y = mx + b where m is the slope and b is the y-intercept. Rearrange the given equation to this form to find m and b.
2x + 3y = 1200
3y = -2x + 1200
y = -2/3x + 400
∴ m = -2/3 and b = 400
$1.50 because you have to multiply $0.30 times the 5 and you get $1.50.
