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victus00 [196]
2 years ago
13

When the factors of a trinomial are (x+p) and (x+q) then the coefficient of the x-term in the trinomial is

Mathematics
1 answer:
disa [49]2 years ago
4 0
In order to find the answer to this, we can multiply out the base factors of the trinomial using FOIL. This gives us x^2 + qx + px + pq. Next, we can combine like terms and get the base trinomial of x^2 + (q + p)x + pq. The coefficient of the x-term is therefore q + p.

Hope this helps!
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On Monday morning there were 15 inches of snow on the ground. the temperature warmed up and by Tuesday morning 36 inches had mel
lesya692 [45]

Answer:

linear function, f(x)=-3x+15

Step-by-step explanation:

its ez

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2 years ago
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Felecia left her home to visit her daughter, driving 45mph. Her husband waited for the dog sitter to arrive and left home 20 min
Jet001 [13]

Felecia's husband will catch up to her 1 hour 30 minutes after leaving.

Step-by-step explanation:

Step 1; Felecia is traveling at 45 mph, her husband starts 20 minutes after her but travels at a speed of 55 mph. So first we need to calculate how much of a head start Felecia got.

Head start = \frac{1}{3} × 45 miles an hour = 15 miles.

So Felecia got a head start of 15 miles.

Step 2; Since Felecia and her husband are traveling at different rates, we can determine how much distance there is between them. Since Felecia is traveling at 45 mph and her husband is traveling at 55 mph, their gap in between is closing at a rate of 55 - 45 = 10 miles every hour. So for every hour, the gap between them is closing by 10 miles.

Total gap initially = 15 miles.

The rate at which gap is being closed = 10 miles an hour.

Time to close the gap = 15 / 10 = 1.5 hours.

8 0
2 years ago
"If you switch to the late shift, you will receive a 10% wage increase." Great! I make $12.00 per hour now, and that extra 10% w
maxonik [38]

Answer:

$13.20/hr

Step-by-step explanation:

A 10% wage increase would amount to 0.10($12) = $1.20.  Adding this increase to the starting rate $12/hr results in $13.20/ hr.

A faster way in which to do this is shown below:

Wages after a 10% increase = (1.10)($12/hr) = $13.20/hr

7 0
2 years ago
2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of typhoon, the rain fell a
zmey [24]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following information:

First three hours of typhoon: rate of Rainfall. = 25mm per hour

Typhoon slows down for an hour : then Rainfall began again at a constant rate of 20 mm per hour for the next 2 hours

Piecewise function which models Rainfall ad a function of time

Amount of Rainfall as a function of time = f(t)

f(t) = 25t ; if t≤ 3

When typhoon slowed down for an hour :

f(t) = 0;

f(t) = 25*3 ; for t ∈ (3, 4)

Then Rainfall at a constant rate of 20mm for another 2 hours

f(t) = (25 *3) + 20(t - 4) ; for t ∈ (5, 6)

5 0
2 years ago
Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents Lola’s
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X would have to be less than 12, y would have to be less than 6. So a graph displaying x less than or equal to 12 and y less than or equal to 6.
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