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Leviafan [203]
3 years ago
15

Which expression is equivalent to the expression shown below

Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0
-3x+12
Answer is option A
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What is 20 plus 2 /6
Leya [2.2K]
Answer:
20 1/3
Explanation:
4 0
3 years ago
4y-x<br> 3(2x+y)<br> when x = -3 and y = 3
yan [13]

Step-by-step explanation:

4×3-(-3)=12+3=15

3(2×(-3)+3)=3(-6+3)=(3×(-3)=-9

6 0
2 years ago
Find the polynomial function
laiz [17]

Answer:

y = 2x³ +x² -3x +6

Step-by-step explanation:

The polynomial correlation function of a graphing calculator can work with the table of function values to give you the equation. (See attached)

_____

If you want to solve this by hand, you can write the equations for the unknown coefficients in the polynomial function, then solve those. First of all, notice that you are given the y-intercept, (0, 6), so you know one of the coefficients already. That leaves a system of 3 equations in 3 unknowns that need to be solved.

___

<em>Writing the equations</em>

... ax³ +bx² +cx +6 = y . . . . the generic linear equation in a, b, c that you're writing

For x = -1:

... -a +b -c +6 = 8

For x = 1

... a + b + c + 6 = 6

For x = 2

... 8a +4b +2c +6 = 20

In augmented matrix terms, this set of linear equations looks like ...

\left[\begin{array}{ccc|c}-1&1&-1&2\\1&1&1&0\\8&4&2&14\end{array}\right]

___

<em>Solving the equations</em>

There are a number of ways to solve these. Again, a graphing calculator often has solution functions, such as reducing a matrix to row-echelon form, that will solve this in a keystroke or two.

If you add the first two equations, you get ...

... 2b = 2 ⇒ b = 1

Substituting that into the first equation allows you to simplify it to ...

... -a -c = 1

Dividing the third equation by 2 (and substituting for b) makes it ...

... 4a +c = 5

Adding these equations gives ...

... 3a = 6 ⇒ a = 2

Then ...

... c = -a -1 = -2 -1 = -3

And our polynomial function is ...

... y = 2x³ +x² -3x +6

7 0
2 years ago
Carlos bought a $235 water heater with his credit card. He used the water heater for five years before replacing it. He paid off
Mazyrski [523]

First we will find the interest on:


P = $235 principal


t = 2 years


r = 0.1415 annual rate


A = future value 


I = A - P the interest


A = P(1 + r)^t


A = 235(1 + 0.1415)^2


A = $306.21


I = A - P


I = $306.21 - $235


I = $71.21


the interest was $71.21.



Next lets find the lifetime cost value:


Lifetime cost value = 306.21 + 5*1.56*52 + 5*0.78*52 = $914.61 (considering that 1 year = 52 weeks)



Now lets find the percentage what percentage the interest is of the lifetime cost:


(71.21/914.61)*100 = 7.79%

<span>← Previous Problem<span>Next Problem →</span></span>
3 0
3 years ago
3×10+2×1+6×1/100+4×1/1000 is the expanded form of which decimal?
motikmotik
The answer would be 32.064
5 0
3 years ago
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