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aleksklad [387]
3 years ago
15

Find f(5). f(x) = x2 + 2x A)15 B)20 C)30 D)35

Mathematics
1 answer:
inysia [295]3 years ago
7 0

f(5) means to replace x in the equation with 5 then solve.

f(x) = x^2 +2x

f(5) = 5^2 + 2(5)

f(5) = 25 +10

f(5) = 35

The answer is D)35

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Given P(x) = 2x3 - 11x2 + 18x - 15 is divided by x – 3. Use synthetic division to find the quotient and the remainder.
katrin [286]
You can find the remainder right away by simply plugging in x=3. The polynomial remainder theorem guarantees that the value of p(3) is the remainder upon dividing p(x) by x-3, but I digress...

Synthetic division yields

3   |   2   -11   18   -15
.    |           6   -15     9
- - - - - - - - - - - - - - - - -
.    |   2     -5     3     -6

which translates to

\dfrac{2x^3-11x^2+18x-15}{x-3}=2x^2-5x+3-\dfrac6{x-3}

(and note that p(3)=2(3)^3-11(3)^2+18(3)-15=-6, as expected)
5 0
3 years ago
Find each one of the indicated angle measures.
PtichkaEL [24]

Answer:

∠5 = 71° & ∠8 = 109°

Step-by-step explanation:

∠1 = ∠5 (corresponding angle)

∠5 = 71°

∠5 + ∠8 = 180° (angles in a striaght line is 180°)

71° + ∠8 = 180°

∠8 = 109°

7 0
3 years ago
For each parallelogram find the length of the base or height the first parallelogram has the area of 60 meters square the base i
Lynna [10]

Answer:

  5 m

Step-by-step explanation:

You know the area of a parallelogram is the product of its base length and height:

  area = base × height

Fill in the given values, and solve for height:

  60 m² = (12 m) × height

  (60 m²)/(12 m) = height = (60/12) m

  height = 5 m

The height is 5 meters.

5 0
3 years ago
If LM = 20 cm, and PQ = 16 cm, what is the length of RM, in centimeters?
LuckyWell [14K]

Answer:

RM = 12 cm

Step-by-step explanation:

a^{2} + b^{2} = c^{2}

Assuming 20 is the hypotenuse cus there is no picture:

a^{2} + 16^{2} = 20^{2}

a^{2} +256 = 400

a^{2} = 144

a=144

If It's not the hypotenuse:

16^{2}+ 20^{2} =c^{2}

256+400 =c^{2}

656=c^{2}

c = 25.61249695

But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.

Hope this helped. :0)

5 0
3 years ago
At a track meet Sammy finished the race in 25.98 seconds. Tom finished the 100 meter race in 12.54 seconds. Which runner ran the
Basile [38]

Answer: Sammy


Step-by-step explanation: If Tom finished the 100 meter race in 12.54 seconds that means he would have been going at an average of 7.97 seconds and if Sammy is finishing a 100 meter race in 25.98 seconds he would have been going at an average of 3.84. Therefore Sammy is going at a faster average.


Hope this helps!


5 0
3 years ago
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