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2 years ago

Which statements are correct? Check all that apply.

Mathematics

2 answers:

kirill [66]2 years ago

7 0

Answer:

A quadratic function can have two irrational roots.

A quadratic equation can have no real number solutions.

Step-by-step explanation:

Crank2 years ago

5 0

Answer:

A and B

Step-by-step explanation:

did it on edge

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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

2 years ago

I'm not exactly sure how to solve this or what the answer is.

arlik [135]

Answer:

9x^2-49

Step-by-step explanation:

FOIL

8 0

2 years ago

In a survey, 200 people were polled about whether they preferred spending their free time playing sports, watching a movie, or r

Rama09 [41]

A) 25% of males preferred playing sports.

Explanation) .25 is the same is 25%.

B) 25% of the people surveyed preferred reading a book.

Explanation) You have to add up how many males and females rather
to read a book. It's .10 + .15 = 25%.

C) 70 females were surveyed out of 200 people.

Explanation) Add up .15 + .5 + .15 to get .35. Put .35 multiplied by 200 to get 70.

8 0

3 years ago

G(-4)=3(-4)+4<br><br> Find g(-4)

soldier1979 [14.2K]

G(x) = 3x + 4
g(-4) = 3(-4) + 4
g(-4) = -12 + 4
g(-4) = -8

6 0

3 years ago

Is 0.11 * 10-6 in scientific notation? If not, explain.

Nonamiya [84]

Answer:

No, it is not in scientific notation. The first factor is not greater than or equal to 1.

Step-by-step explanation:

Scientific notation is a method of writing numbers as the product of two factors where the first factor is a number whose absolute value is greater than or equal to 1 but less than 10.

8 0

3 years ago

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