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Ierofanga [76]
2 years ago
7

What is the product of (-3s+2t(4s-t)

Mathematics
1 answer:
galben [10]2 years ago
5 0
Use the FOLD method<span>
(a+b)(c+d)=ac+ad+bc+bd

</span><span>−12<span>s<span><span>​^2 </span><span>​​</span></span></span>+ 3st + 8ts − 2<span>t<span><span>​^2</span><span>​​

</span></span></span></span>Collect like terms
-12{s}^{2}+(3st+8st)-2{t}^{2}

Simplify
<span>-12{s}^{2}+11st-2{t}^{2}<span>−12<span>s<span><span>​2</span><span>​​</span></span></span>+11st−2<span>t<span>​<span>2

The answer is = -12s^2 + 11st - 2t^2</span></span></span></span></span>
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CAN SOMEONE PLEASE HELP ME!!!
Sindrei [870]

Answer:

2/5, 3/7, and 2/11

Step-by-step explanation:

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Basile [38]

Answer:

Step-by-step explanation:

You can't ever let this go negative. At least not at the grade you are in.

It can be 0.

So the domain must start at x = 7

sqrt(5*7 - 35) = sqrt(0) = 0

x can have any value (including 7) between 7 and infinity. If you choose a number less than 7 (like 6) the square root will go negative and that's not to be done.

So the interval is

7 ≤ x < ∞

4 0
2 years ago
If two positive fractions are less than 1, why is their product also less than 1?
igor_vitrenko [27]
The product of two positive fractions are also less than one because you are multiplying a number which is already less than 1.

For example.

1/ 2 = is 50% of a whole.

When you multiply 1/2 by 1/2 you do not get the 100% of the whole because you are only getting 50% of the 50% of the whole, which in turn is equivalent to 25% of the whole.

1/2 * 1/2 = 1/4 of the whole.

The only time you can get a result of 1 and above where two fractions are less than 1 is when you perform addition of these fractions.

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4 0
3 years ago
Read 2 more answers
8. You are paid a commission plus $5.40 per hour with time and a half overtime
Elanso [62]

9514 1404 393

Answer:

  $491.65

Step-by-step explanation:

The pay for the first 8 hours is $5.40 per hour × 8 hours = $43.20. Hours over 8 are paid at 1.5 × $5.40 = $8.10 per hour. There are at least 8 hours every day for the 6-day week. There are hours over 8 on Monday, Wednesday, Thursday, and Friday totaling 7 hours of overtime.

The amount of sales is more than $3000, so 4% will be paid on $3000, and 5% will be paid on the $1115 in excess of $3000.

So, the gross pay is ...

  $43.20 × 6 + 8.10 × 7 = $315.90 . . . . wages

  $3000 × .04 +1115 × .05 = $175.75 . . . commission

  $315.90 +1.75.75 = $491.65 . . . . gross pay for the week

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It can be less tedious to let a spreadsheet do the calculations.

6 0
2 years ago
Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slop
OLEGan [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is y  =  -4 x

Step-by-step explanation:

From the question we are told that

The line is y  =  \frac{1}{4} x  + 8

The point is P(0,0 )

Generally the equation for a line is yn =  mx  + c

Now comparing this with the given equation we see that

m  =\frac{1}{4} =  slope

C  =8  =  intercept

Generally the slope of the perpendicular to the given line is mathematically evaluated as

m_1  = -  \frac{1}{m}

=> m_1  = -  \frac{1}{ \frac{1}{4}}

=> m_1  = -4

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and m_1 =  -4 is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

y  =  -4 x

8 0
3 years ago
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