ana divides the number N by 8nand gets .25 as her answer . Barney multiplies the same.number N by 8 . what should he get ?

Mr Thompson please help with my new HW

sesenic [268]

Answers:

C) x = plus/minus 11
B) No real solutions
C) Two solutions
A) One solution
The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.

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Explanations:

Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.

3 0

3 years ago

What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is .5 ?

ser-zykov [4K]

$\bf \qquad \textit{sum of a finite geometric sequence}
\\ \quad \\
 S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=\textit{last term}\\
a_1=\textit{first term}\\
r=\textit{common ratio}
\end{cases}
\\ \quad \\
S_8=3\left( \cfrac{1-0.5^8}{1-0.5} \right)$

7 0

3 years ago

Read 2 more answers

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE????????????????????????

icang [17]

Answer:

For 1 there is causationand there is correlation because they found that if people have a higher income, they will buy a more expensive plan so one cause another

the second question, there is no correlation because it doesn’t matter how many samples they provide, people still buy the same amount

4 0

3 years ago

What is the point on the graph of f(x+5)

statuscvo [17]

Answer:

=fx+5f

Step-by-step explanation:

=fx+5f

5 0

3 years ago

Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8

RSB [31]

Answer: We can find angle BAC by using (1) SinA = 9.8/12

(2) CosA = 6.9/12

(3) TanA = 9.8/6.9

Step-by-step explanation: The question indicates that we have a right angled triangle ABC with the right angle at point C (that is, angle ACB is the right angle). Also the three sides have been labeled as AB equals 12 cm, CB equals 9.8 cm and AC equals 6.9 cm. Line AB has been identified as the hypotenuse and angle A (that is, BAC) is the reference angle. If angle A is the reference angle, then line CB facing angle A shall be the opposite side, while line AC is the adjacent (which lies between the reference angle and the right angle). Please see the attached diagram for details.

Having these details available, we can actually find angle A by using any of the three trigonometric ratios, since all three sides are given. Hence,

SinA = opposite/hypotenuse

SinA = 9.8/12

SinA = 0.8167

Checking with your calculator or table of values, A = 54.76 (approximately 55)

Also CosA = adjacent/hypotenuse

CosA = 6.9/12

CosA = 0.5750

Checking with your calculator or table of values A = 54.90 (approximately 55).

Finally TanA = opposite/adjacent

TanA = 9.8/6.9

TanA = 1.4203

Checking with your calculator or table of values A = 54.83 (approximately 55).

3 0

3 years ago