Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
Hey but you get better at in no time lol
Step-by-step explanation:
no need to worry
KILO=1000.............. MILLI= thousandth
1kg is 1000 grams
1 milligram is one thousandth of a gram, so a 1 gram = 1000mg.
in 36 kg, then there are 36 * 1000 grams.
and in (36*1000) grams there are (36*1000)*1000 mg, 36,000,000 mg.
So first thing is find the number of small boxes. Find 1% of 120, 1.2. Multiply 1.2 by 35, it’s 42.
Next find what the percent that 2/5 is. Divide two by five, it’s .4 or 40%. We already know one percent is 1.2 so multiply 1.2 by 40, 48.
Add this two.
42+48=90.
120-90=30
Small boxes:42
Medium boxes: 48
Large:30
42*6=252
48*10=480
15*30=450
1182 eggs total.
Answer:
I'll setup the problem and you can do the calculations
Step-by-step explanation:
The formula for simple interest:
I = P*r*t
I = interest
P = principle or amount invested
r = interest rate per period (period is a year)
t = number of periods
P = 4920
r = .13
t = 8
if you have questions, send a comment
