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s344n2d4d5 [400]

3 years ago

12

Let u = <-8, -9>. Find 7u. (2 points)

1 answer:

ANEK [815]3 years ago

4 0

Multiplying a vector by a scalar means to multiply each coordinate of the vector by said scalar.

So, we must multiply both entries by 7:

$u=(-8, -9)\implies 7u=(-8\cdot 7, -9\cdot 7) = (-56, -63)$

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Factor Trinomials:

notka56 [123]

Answer:

1. $2(x+2)(x+5)$

2. $8(x+4)^{2}$

Step-by-step explanation:

<u>Problem #1:</u>

1. Find the GCF (Greatest Common Factor)

$GCF = 2$

2. Factor out the GCF and simplify.

$2(x^{2} +7x+10)$

3. Factor $x^{2} +7x+10$

<u>Which two numbers add up to 7 and multiply to 10?</u>

2 and 5

<u>Rewrite the expression using the above.</u>

$(x+2)(x+5)$

4. Done!

$2(x+2)(x+5)$

<u>Problem #2:</u>

1. Find the GCF (Greatest Common Factor)

$GCF=8$

2. Factor out the GCF and simplify.

$8(x^{2} +8x+16)$

3. Use the perfect square formula. $a^{2} +2ab+b^{2} =(a+b)^{2}$

$a = x\\b=4$

$(x+4)^{2}$

4. Done!

$8(x+4)^{2}$

8 0

3 years ago

(40/5)-7+2? I know the answer but I don’t know how I got to it

ExtremeBDS [4]

Answer:

3

Step-by-step explanation:

(40/5)-7+2

PEMDAS says parentheses first, so divide inside the parentheses

(8)-7+2

Then add and subtract from left to right

1 +2

3

8 0

3 years ago

Read 2 more answers

If P(C)=.29, P(D)=.47 and P(C and )= 0, are the events C and D mutually exclusive? Find P(C or D)

abruzzese [7]

Answer:

Step-by-step explanation:

note : P(C or D) = P(C)+P(D) - P(C and )

P(C or D) =0.29+0.47- 0

P(C or D) = 0.76

4 0

3 years ago

Determine whether the following series converge or diverge

Mars2501 [29]

An alternating series $\sum\limits_n(-1)^na_n$ converges if $|(-1)^na_n|=|a_n|$ is monotonic and $a_n\to0$ as $n\to\infty$ . Here $a_n=\dfrac1{\ln(n+1)}$ .

Let $f(x)=\ln(x+1)$ . Then $f'(x)=\dfrac1{x+1}$ , which is positive for all $x>-1$ , so $\ln(x+1)$ is monotonically increasing for $x>-1$ . This would mean $\dfrac1{\ln(x+1)}$ must be a monotonically decreasing sequence over the same interval, and so must $a_n$ .

Because $a_n$ is monotonically increasing, but will still always be positive, it follows that $a_n\to0$ as $n\to\infty$ .

So, $\sum\limits_n(-1)^na_n$ converges.

5 0

3 years ago

Y=x +3<br>1 23x+2y=-4<br>what is it

erik [133]

Answer:

x=-0.08 and y=2.92

Step-by-step explanation:

123x + 2(x+3) = -4 y = -0.08 + 3

123x + 2x + 6 = -4 = 2.92

125x + 6 = -4

125x = -10

x= -0.08

5 0

3 years ago