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bekas [8.4K]
4 years ago
8

10 Points! No wrong answers

Mathematics
1 answer:
qwelly [4]4 years ago
4 0

Answer:

420

Step-by-step explanation:

7 * 3 = 21

21 * 2 = 42

42 * 10 = 420

7 * 3 * 2 * 10 = 420

<u>The area is 420</u>

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Find a • b.
melamori03 [73]
That is about coordinates and the dot product
we have a has coordinates (4;8)
and b has coordinates (-2;3)
So we have a.b= 4x(-2)+ 8x3= -8+24=16
The answer is 16
6 0
3 years ago
Use the Factor Theorem and synthetic division to show x + 5 is a factor of f(x) = 2x3 + 7x2 − 14x + 5
olga2289 [7]

Answer:

Factor theorem: f(-5) = 0.

Synthetic division: f(x) = (x + 5)\, (2\, x^2 -3\, x + 1).

Step-by-step explanation:

<h3>Factor Theorem</h3>

By the factor theorem, a monomial of the form (x - a) (where a is a constant) is a factor of polynomial f(x) if and only if f(a) = 0.

In this question, the monomial is (x + 5), which is equivalently (x - (-5)). a = -5.

\begin{aligned}& f(-5) \\ &= 2 \times (-5)^{3} + 7 \times (-5)^{2}- 14\times (-5) + 5\\ &= -250 + 175 + 70 + 5 \\ &= 0\end{aligned}.

Hence, by the factor theorem,  (x + 5), which is equivalent to (x - (-5)), is a factor of f(x).

<h3>Synthetic Division</h3>

\begin{aligned}& f(x) \\ &= 2\, x^{3} + 7\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} - 3\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} + \underbrace{(x + 5)\, (-3\, x)}_{-3\, x^{2} - 15\, x} + (x + 5) \\ &= (x + 5)\, (2\, x^{2} - 3\, x + 1)\end{aligned}.

The remainder is 0 when dividing f(x) by (x + 5). Hence, (x + 5)\! is a factor of f(x)\!.

6 0
4 years ago
I will give brainliest :)
Jet001 [13]

Answer:

It is 102


Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
lisa has 1/3 of an hour to read and watch television. She wants to split her time equally between the two activities
cestrela7 [59]
1/3 of an hour = 20 min
If she wants to split her time equally she should read for 10 min and watch tv for ten minutes. Each activity would last 1/6 of an hour.
3 0
3 years ago
Read 2 more answers
Find the place value of 4 in 5846.
gogolik [260]

Answer:

Hundreds

Step-by-step explanation:

It is the third number in this bigger one, going from the left you can see it's in the hundreds place.

6 0
3 years ago
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