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iogann1982 [59]
2 years ago
14

In order to solve the inequality -1/4 x > 8, which of the following steps must be done?

Mathematics
1 answer:
Romashka [77]2 years ago
4 0
A. Divide by -4 and flip the inequality symbol
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If C = t - 5 and B = t^2 + 2, find an expression that equals 2C + 2B in standard<br> form.
adell [148]

Answer:

t² + t - 3 = 0

Step-by-step explanation:

C = t - 5

B = t² - 2

2C + 2B

= 2(t - 5) + 2(t² + 2)

= 2t - 10 + 2t² + 4

= 2t² + 2t - 6

=> t² + t - 3 = 0

8 0
2 years ago
8 less than the product of 5 and-4
alina1380 [7]
So it says 8 less than, meaning 8 minus the product of 5 and -4, so literally it means subtract 8 from 5X-4
8-5*-4
4 0
3 years ago
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What is the first step in solving the quadratic equation x2 = 9/16
anygoal [31]
The equation is \displaystyle{ x^2= \frac{9}{16}. We can rewrite the equation as:

                                    \displaystyle{ x^2= (\frac{3}{4})^2.

Our next step here is to take the square root of both sides, remembering that \sqrt{x^2}=|x|.

Thus, we have \displaystyle{ |x|= \frac{3}{4}. Our final step is solving the absolute value equation, which yields:

\displaystyle{ x= \frac{3}{4} or \displaystyle{ x= -\frac{3}{4}.


 Solution set: { -\frac{3}{4}, \frac{3}{4} }
8 0
3 years ago
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Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in inches.
Setler79 [48]
The value of x is 5
The length of line AB is 5 inches
The length of BC is 15 inches
5 0
3 years ago
Find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20​
Vsevolod [243]

Answer:

The sum of the first 20 terms is -1440.

Step-by-step explanation:

We want to find the sum of the first 20 terms of the arithmetic sequence:

4, -4, -12, -20...

The sum of an arithmetic sequence is given by:

\displaystyle S=\frac{k}{2}(a+x_k)

Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.

Since we want to find the sum of the first 20 terms, <em>k</em> = 20.

Our initial term <em>a</em> is 4.

Our last term is also the 20th term as we want the sum of the first 20 terms.

To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:

x_n=a+d(n-1)

Where <em>a</em> is the initial term, <em>d</em> is the common difference, and <em>n</em> is the <em>n</em>th term.

Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:

x_n=4-8(n-1)

Then the last or 20th term is:

x_{20}=4-8(20-1)=4-8(19)=-148

Therefore, the sum of the first 20 terms are:

\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}

5 0
2 years ago
Read 2 more answers
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