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nexus9112 [7]
2 years ago
13

Solve 1/2 x + 3 <4x - 7

Mathematics
1 answer:
torisob [31]2 years ago
3 0

Answer:

x>20/7

Step-by-step explanation:

It's simple math, make sure to mark me brainliest!

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Please help with my question it is the millers shower uses 25 gallons of water for a 10 min shower. Now how many gallons of wate
klasskru [66]
Answer: The Millers need 15 gallons of water for 6 minutes.


Lets start by finding how much water is needed for 1 min shower. 
<span>
25 gallons of water is used for 10 min shower:

</span>10 mins = 25 gallons <span>

To find 1 min shower, we will divide the 25 gallons of water by 10. 
</span><span>
10 mins = 25 gallons            </span>← Divide by 10 on both sides<span>
÷ 10           ÷ 10
1 min = 2.5 gallons

Now that we know the Millers need 2.5 gallons for every 1 minute of shower, we can find 6 minutes of shower by multiplying by 6.

1 min = 2.5 gallons</span>         ← Multiply 6 on both sides<span>
   x6           x6
6 min = 15 gallons

-----------------------------------------------</span>---------------------------------------<span>
Answer: The Millers need 15 gallons of water for 6 minutes.
</span>--------------------------------------------------------------------------------------<span>

</span>
8 0
3 years ago
If you take out a loan for $561.60 over eight years at an interest rate of 9.3%, what is the total amount you will have to repay
yKpoI14uk [10]

Answer:417.84

Step-by-step explanation:

7 0
2 years ago
In Exercises 40-43, for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and (c) infini
svet-max [94.6K]

Answer:

If k = −1 then the system has no solutions.

If k = 2 then the system has infinitely many solutions.

The system cannot have unique solution.

Step-by-step explanation:

We have the following system of equations

x - 2y +3z = 2\\x + y + z = k\\2x - y + 4z = k^2

The augmented matrix is

\left[\begin{array}{cccc}1&-2&3&2\\1&1&1&k\\2&-1&4&k^2\end{array}\right]

The reduction of this matrix to row-echelon form is outlined below.

R_2\rightarrow R_2-R_1

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\2&-1&4&k^2\end{array}\right]

R_3\rightarrow R_3-2R_1

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&3&-2&k^2-4\end{array}\right]

R_3\rightarrow R_3-R_2

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&0&0&k^2-k-2\end{array}\right]

The last row determines, if there are solutions or not. To be consistent, we must have k such that

k^2-k-2=0

\left(k+1\right)\left(k-2\right)=0\\k=-1,\:k=2

Case k = −1:

\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-1-2\\0&0&0&(-1)^2-(-1)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-3\\0&0&0&-2\end{array}\right]

If k = −1 then the last equation becomes 0 = −2 which is impossible.Therefore, the system has no solutions.

Case k = 2:

\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&2-2\\0&0&0&(2)^2-(2)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&0\\0&0&0&0\end{array}\right]

This gives the infinite many solution.

5 0
3 years ago
Total employment for sheet metal workers in 2016 is projected to be 201,000. If this is a 6.3% increase from 2006,
anastassius [24]

Answer:

<h2>A. <em><u>2</u></em><em><u>1</u></em><em><u>4</u></em><em><u>,</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em></h2>

Step-by-step explanation:

<h3>#CarryOnLearning</h3>

{text} { hope it helps}}

3 0
3 years ago
Which value of HNK are used to write the function f(x) = x2 + 12x + 6 in vertex form?
anygoal [31]

Answer:

( − 6 , − 30 )

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  ( h , k ) .

6 0
2 years ago
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