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3 years ago

Express your answer as a polynomial in standard form.

Mathematics

1 answer:

rjkz [21]3 years ago

3 0

Answer:

$-6x^2-8x+1$

Step-by-step explanation:

$-2(3x^2+4x-3)-5\\-6x^2-8x+6-5\\-6x^2-8x+1$

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12. The ratio of the width to the length of a rectangle is 1:3 Which of the following

Zepler [3.9K]

Answer:

The rectangle with ratio 2:6

As When we simplify 2:6 we get 1:3

The equvalents of 1:3are

2:6 ,3:9,4:12,5:15,6:18,7:21,8:24,9:27,10:30..

7 0

3 years ago

The explicit formula for a sequence is

Alexandra [31]

Answer:

Step-by-step explanation:

Let n = 21, and evaluate the expression.

$a_n = -2 + \dfrac{3}{2}(n - 1)$

$a_{21} = -2 + \dfrac{3}{2}(21 - 1)$

$a_{21} = -2 + \dfrac{3}{2}(20)$

$a_{21} = -2 + \dfrac{3}{1}(10)$

$a_{21} = -2 + 30$

$a_{21} = 28$

3 0

3 years ago

Find a8 in the arithmetic sequence with a1=-7 and d=0.5

gavmur [86]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=-7\\
d=0.5\\
n=8
\end{cases}
\\\\\\
a_8=a_1+(8-1)d\implies a_8=-7+(8-1)(0.5)$

and surely you know how much that is.

3 0

4 years ago

Kim purchased 6 small containers of potato salad and Seth purchased 2 extra large containers of potato salad. What is the differ

icang [17]

I am assuming that the attached is the complete question and we need to get the information from the table.

From the table we know the below fact:

$1 \; small \; container \; of \; potato \; salad \; Weighs \; \frac{2}{8} \; pounds\\\\1 \; extra \; large \; container \; of \; potato \; salad \; Weighs \; \frac{9}{8} \; pounds$

$Weight \; of \; 6 \; small \; container = 6 \times \frac{2}{8} = \frac{12}{8} \; pounds\\\\Weight \; of \; 2 \; Extra \; large \; container = 2 \times \frac{9}{8} \; = \; \frac{18}{8} \; pounds$

Conclusion:

The difference in weights, in pounds of Kim’s and Seth’s purchases is given below:

$\frac{18}{8} - \frac{12}{8} = \frac{18-12}{8} = \frac{6}{8} \\\\Simplifying \; the \; fraction \; dividing \; by \; 2 \; on \; both \; numerator \; and \; denominator\\\\ \frac{6 \div 2}{8 \div 2} = \frac{3}{4}$