All categories

3 years ago

Help please, kind of confused

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

Yikes. This is quite a doozy, so pay attention. We will begin by factoring by grouping. Group the first 2 terms together into a set of parenthesis, and likewise with the last 2 terms:

$(2d^4+6d^3)-(18d^2-54d)$ and factor out what's common in each set of parenthesis:

$2d^3(d+3)-18d(d+3)$ . Now you can what's common is the (d + 3), so factor that out now:

$(d+3)(2d^3-18d)$ BUT in that second set of parenthesis, we can still find things common in both terms, so we continue to factor that set of parenthesis, carrying with us the (d + 3):

$(d+3)2d(d^2-9)$ BUT that second set of parenthesis is the difference of perfect squares, so we continue factoring, carrying with us all the other stuff we have already factored:

$(d+3)2d(d+3)(d-3)$ . That's completely factored, but it's not completely simplified. Notice we have 2 terms that are identical: (d + 3):

$2d(d+3)^2(d-3)$ is the completely factored and simplified answer, choice 3)

You might be interested in

A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use

lawyer [7]

Answer:

35.32

Step-by-step explanation:

The regression equation usually demonstrated as

y=a+bx.

In the above equation y is the dependent variable, x is the independent variable, a is the intercept of regression line and b is the slope of regression line.

The given regression equation is

y^=0.06x+14.2

The predicted value of y can be computed by simply putting the value of x in above equation.

So,

y^=0.06(352)+14.2

y^=21.12+14.2

y^=35.32

Thus, the predicted value of y for x=352 is 35.32.

6 0

3 years ago

Give one example of when you would use the friendly numbers strategy to subtract. Explain why.

ziro4ka [17]

In the addition process this usually involves:

rounding numbers up to the nearest multiple of 10 or 100 subtracting the extras that were added at the end.

In the subtraction process this usually involves subtracting too much and completing the calculation by putting some back.

6 0

3 years ago

Read 2 more answers

Can someone help me with this I don't understand and please explain the answer

lukranit [14]

(2^6)=1
take log on both sides,
xlog(2^6)=log(1)=0
=>
x=0, since log(2^6)>0

5^0=1
there is no value of x appearing in the equation, so x can be any valid number.

5 0

3 years ago

Point A is located at (-2, 2), and point M is located at (1,0). If point M is the midpoint of AB, find the location of point B.

bezimeni [28]

Answer:

B. $B = (4,-2)$

Step-by-step explanation:

GIven that $A = (-2, 2)$ and $M = (1, 0)$ , and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is: