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3 years ago

Help me by please this is kinda hard for my child and I forgot it

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

4 0

It's 6!

When you multiply both the numerator and denominator by the same number, you will have an equivalent to the fraction you started with because the new fraction can be reduced to the original fraction.

2/3 = 4/6 = 6/9 = 8/12 = 10/15 = 12/15 etc.

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Hi I did 1st 2 but need help with rest simplifying these and I need them explained step by step plz and thank you

Anna007 [38]

Hey there ! Heres your answer :)

4 0

2 years ago

Which expression is equivalent to t+3+5 - 2t?

Shtirlitz [24]

Answer:

B. -t+8

Step-by-step explanation:

add t to -2t and add 3 and 5

4 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

2 years ago

What is the equation of the line, written in slope-intercept form? Show how you determined the equation.

kondor19780726 [428]

The equation of a line is defined by: y=mx+b

Step 1: Find the slope (rise over run) so, the rise is 15.7 and the run is 6. 15.7/6=2.62

y=2.62x+b

Step 2: Find the b value (y intercept) - this is where the line goes through the y axis. In this case, it's 15.7

Step 3: add the slope and the b value together - y=2.62x+15.7

4 0

2 years ago

Three toed sloths move slowly using as littile energy as Possible.They sleep,Eat,and evening give birth upside down.A baby sloth

Bumek [7]

Answer:

3636 hours

Step-by-step explanation:

The calculation of duration of baby sloth sleep is shown below:-

A three-toes sloth usually sleeps is

= 101 hours per week.

Number of week is

= 36

Since we need to compute the duration of baby sloth's sleep so we need to multiply the number of weeks with number of hours per week

Therefore,

The duration of baby sloth's sleep in 36 weeks

= 36 x 101

= 3636 hours

5 0

3 years ago