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2 years ago

What is the slope of the line below?

Mathematics

1 answer:

Flauer [41]2 years ago

6 0

Answer:

Undefined

Step-by-step explanation:

Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.

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3k^2-11k-4=0 solve with quadratic formula

lawyer [7]

It should be k= 4 or -1/3

8 0

3 years ago

Find the first three terms in the expansion , in ascending power of x , of (2+x)^6 and obtain the coefficient of x^2 in the expa

Nataly_w [17]

Answer:

The first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

$64 , 192 \times x^{1} {\textrm{ and }}240 \times x^{2}$

coefficient of $x^{2}$ in the expansion of $(2+x - x^{2})^{6}$ = (240 - 192) = 48

Step-by-step explanation:

$(2+x)^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})$

= $6_{C_{0}} \times x^{0} \times 2^{6} + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4}$ + terms involving higher powers of x

= $64 + 192 \times x^{1} + 240 \times x^{2}$ + terms involving higher powers of x

so, the first 3 terms in the expansion of $(2 + x)^{6}$ , in ascending power of x are,

$64 , 192 \times x^{1} {\textrm{ and }}240 \times x^{2}$

Again,

$(2+x - x^{2})^{6}$

= $\sum_{k=0}^{6}(6_{C_{k}} \times (2 + x)^{k} \times (-x^{2})^{6 - k})$

Now, by inspection,

the term $x^{2}$ comes from k =5 and k = 6

for k = 5, the coefficient of $x^{2}$ is , $(-32) \times 6$ = -192

for k = 6 , the coefficient of $x^{2}$ is, $6_{C_{2}} \times 2^{4}$ = 240

so, coefficient of $x^{2}$ in the final expression = (240 - 192) = 48

3 0

3 years ago

HELP PLEASE 3. Simplify the expression (5 points)<br> [(7 + 3) • 5 - 4] = 2 + 2

krok68 [10]

Answer: 46 or 46=4

Step-by-step explanation:

Do what's in the Parenthesis first so 7+2=10 which now give you the equation

[10x 5-4]=2+2

Now we Multiply so we do 10x5 which is 50 so that now gives us the equation[50-4]=2+2

Now we add the 2+2 which is 4 giving us the equation [50-4]=4

Now we subtract 50-4 giving 46

46=4

5 0

3 years ago

Read 2 more answers

An angle that measures between 90° and 180° is called a(n)_____ angle.

jeka57 [31]

The answer is B. obtuse

7 0

3 years ago

Read 2 more answers

Ella has 10 more CDs than her friend Krystal has. Iris has 3 times as many CDs as Ella has. Which of the following can be used t

pav-90 [236]

Answer:

3(10+k)=total

Step-by-step explanation:

5 0

2 years ago