Answer:
x = 7, x = -3
Step-by-step explanation:
We can find the zeros by factoring the equation using the zero product property.
x^2-4x-21 = 0
(x-7)(x+3) = 0
<u>x-7 = 0</u>
x = 7
<u>x+3 = 0</u>
x = -3
Zeros are x=7 and x= -3.
9514 1404 393
Answer:
$491.65
Step-by-step explanation:
The pay for the first 8 hours is $5.40 per hour × 8 hours = $43.20. Hours over 8 are paid at 1.5 × $5.40 = $8.10 per hour. There are at least 8 hours every day for the 6-day week. There are hours over 8 on Monday, Wednesday, Thursday, and Friday totaling 7 hours of overtime.
The amount of sales is more than $3000, so 4% will be paid on $3000, and 5% will be paid on the $1115 in excess of $3000.
So, the gross pay is ...
$43.20 × 6 + 8.10 × 7 = $315.90 . . . . wages
$3000 × .04 +1115 × .05 = $175.75 . . . commission
$315.90 +1.75.75 = $491.65 . . . . gross pay for the week
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It can be less tedious to let a spreadsheet do the calculations.
It's an isosceles triangle, therefore m∠B = m∠C.
We have the equation:
2x + 10 = 3x - 5 <em>subtract 10 from both sides</em>
2x = 3x - 15 <em>subtract 3x from both sides</em>
-x = -15 <em>change the signs</em>
x = 15
m∠B = (2x + 10)°
m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°
We know, the sum of measures of a tringle is equal 180°.
m∠A + m∠B + m∠C = 180°
m∠B = m∠C = 40°
<h3>Answer: ∠B = 40° and ∠C = 40°</h3>
Answer: 9.70%
Step-by-step explanation:
The formula to find the percentage error is given by :-

Given : Actual mass of zinc oxide used by pharmacist = 28.35 g
Estimated mass of zinc oxide used by pharmacist =31.1 g
Now, 
i.e. 
i.e. 
Hence, the percentage of error on the basis of the desired quantity.= 9.70%
A enlargement
b 2
hope this helps! good luck!