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3 years ago

Use the remainder theorem to divide 5x^2+9x-2 by x+3. what is the remainder?

Mathematics

1 answer:

Anna [14]3 years ago

5 0

Answer:

A)16

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

=5(9) - 27 -2

= 45-29

= 16 !

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MAXImum [283]

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3 years ago

A medical device company knows that the percentage of patients experiencing injection-site reactions with the current needle is

mina [271]

Answer:

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Step-by-step explanation:

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3 years ago

Jamal is 12 years older than twice Stephanie’s age. The sum of their ages is 45. A. If Stephanie’s age is represented by x, writ

amm1812

Answer:

Jamal's age = 2×x+12= 2x+12

sum og ages = 45

2x+12+x= 45

=3x+12=45

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= 32=3x

x= 32/3= 10.67

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4 0

3 years ago

Nancy is a telemarketer who calls 96 people each day. How many people will she call in a 5-day workweek?

ss7ja [257]

The answer is 96*5 =480 so nancy will call 480 people in a 5 day workweek

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3 years ago

Pls pls help<br> Show work :)

Natasha2012 [34]

9514 1404 393

Answer:

31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

Sin = Opposite/Hypotenuse

sin(30°) = BE/100

BE = 100·sin(30°)

Then ...

Tan = Opposite/Adjacent

tan(58°) = BE/x

x = BE/tan(58°) = 100·sin(30°)/tan(58°)

x ≈ 31.243 . . . . units

_____

<em>Comment on the figure</em>

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

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3 years ago