Answer:
f(x) = x² - 10x + 24
Step-by-step explanation:
The quadratic function has a graph that passes through the points (4,0) and (6,0).
Therefore, the graph has two x-intercepts at x = 4 and x = 6 and those are the roots of the equation.
So, (x - 4) and (x - 6) are two factors of the quadratic equation.
Then we can write the equation as
f(x) = (x - 4)(x - 6)
⇒ f(x) = x² - 4x - 6x + 24
⇒ f(x) = x² - 10x + 24
Hence, this is the required quadratic function in standard form. (Answer)
3 + 4x = 2y - 9
2y = 4x + 3 + 9
2y = 4x + 12
y = 2x + 6
if it's parallel, than if y = ax + b, a = 2 and you need to find b
(4, -4)
x = 4
y = -4
-4 = 2*4 + b
-4 = 8 + b
b = -12
so an equation is:
y = 2x - 12
Eva spent 2 hours tutoring and 6 hours clearing tables.
Let x represent the number of hours Eva worked tutoring and y represent the number of hours Eva worked clearing tables.
Eva worked 3 times as many hours clearing tables as she worked hours tutoring hours and earned a total of $80. Hence:
y = 3x
-3x + y = 0 (1)
16x + 8y = 80 (2)
Solving equations 1 and 2 simultaneously gives:
x = 2, y = 6
Eva spent 2 hours tutoring and 6 hours clearing tables.
Find out more on equations at: brainly.com/question/2972832
Answer:
I think it's y = 3/2x - 5
Step-by-step explanation:
when we multiply the slopes of perpendicular lines, we get -1
consider the following transaction in detail:
Deposited amount by paycheck - $489.50
Deposited amount by stock dividend check - $x
Deposited amount by dollar rebate check - $y
Deposited amount in his checking account - $85
And original amount before deposits - $w
To get total amount in his account, we have to add all of the above transactions.
That is balance in his account after deposits = 489.5+x+y+85+w
= 574.5+x+y+w $
