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3 years ago

All I need is the two blank boxes filled! HELP!:

Mathematics

2 answers:

Ivahew [28]3 years ago

6 0

Answer:

X= -5 and y=20

Step-by-step explanation:

borishaifa [10]3 years ago

6 0

Answer:

Step-by-step explanation:

When x=0, then you have y+5=0, y=0-5=-5.

So next to 0, enter -5 into the box.

When y=0, then you have 0+5=x/4,

5=x/4,

x=4*5=20.

So next to 0, enter 20 into the box.

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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

3 years ago

Evaluate 3b2 when b= 4 and when b= - 4.<br> When b=4, 3b2

nydimaria [60]

Answer:

Step-by-step explanation:

3 times 4 times 2

3 times 4 is 12

12 times 2 is 24

Hope this helps you

4 0

3 years ago

Read 2 more answers

you correctly answered 2/3 of the questions on your history exam there were 75 questions on the exam how many questions did you

GaryK [48]

2/3 of 75 is 2/3 times 75, which is 50. Hope this helps. :D

8 0

3 years ago

Evaluate p\4 when p=12

NikAS [45]

P/4 p=12 just plug in 12 for p
12/4 4*3=12 12/4=3
Hope this helps have a nice nite

7 0

3 years ago

Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years he'll have $100. Be

Nimfa-mama [501]

Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

First step is to determine Jerry total deposit

over the two years

Total deposit = 24×$5

Total deposit= $144

Now let determine what the correct balance will be at end of two years

Using this formula

Maximum Amount=Principal (1+r)^t

<em>Where</em>:

Principal=$144

r=4.8%/12 = 0.4% or 0.004

t=24 months

Let plug in the formula

Maximum Balance = $144 (1.004)^24

Maximum Balance = $158.5

Based on the above calculation both Jerry $100 and Benny $163 balance are eliminated or rule out because the correct balance after two years is $158.5

Inconclusion Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

Learn more here:

brainly.com/question/3658861

4 0

3 years ago