Answer:
A.(170+30)-41
Step-by-step explanation:
(170+30)-41=170+(30-41)
200-41=170+(-11)
159=170-11
159=159
Answer:
Step-by-step explanation:
A quadratic in factored form is usually expressed as: 
where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: 
. Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)
I'll use the point (1, -4) the vertex
-4 = a(1+1)(1-3)
-4 = a(2)(-2)
-4 = -4a
1 = a. So yeah the value of a is 1
So the equation is just:
Answer:
Step-by-step explanation:
20 = 8x + 4r can be rewritten in multiple ways.
1. Reduce the coefficients: 5 = 2x + r
or
2. Solve for r: r = 5 - 2x
or
5 - r
3. Solve for x: x = -----------
2
Answer:
12.78 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the question:
θ = 122°
r = 6 units
Therefore, the arc length =
2 × π × 6 × (122/360)
= 12.775810125 units
Approximately to the nearest hundredth = 12.78 units
Therefore, the length of arc CE is 12.78 units
Answer:
$18
Step-by-step explanation:
Given:
y = 0.9x - 4.5
Where,
x = age in years
y = hourly pay in dollars
what is the best prediction for the hourly pay of a 25 year old?
That is, find y when x=25
y = 0.9x - 4.5
= 0.9(25) - 4.5
= 22.5 - 4.5
= 18
y = $18
The prediction for the hourly pay of a 25 year old is $18
