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GrogVix [38]
3 years ago
11

The sum of two trinomials is always a trinomial? True or False and why?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0
True because it says the sum of 2 trinomials that my answer. hope I helped.
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A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc
Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 2x.

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

6\%=\frac{6}{100}=0.06

10\%=\frac{10}{100}=0.10

Amount of interest earned from lower-yielding account: 2x(0.06)=0.12x.

Amount of interest earned from higher-yielding account: x(0.10)=0.10x.

0.12x+0.10x=6600

Let us solve for x.

0.22x=6600

\frac{0.22x}{0.22}=\frac{6600}{0.22}

x=30,000

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be 2x\Rightarrow 2(30,000)=60,000.

Therefore, the man invested $60,000 at 6%.

8 0
3 years ago
Find the partial derivatives of the function w=4r2+6s2+
lyudmila [28]
I'm taking the liberty of editing your function as follows:  <span>w=4r^2+6s^2, where I use " ^ " to indicate exponentiation.

The partial of w with respect to r is 8r.  That with respect to s is 12s.</span>
8 0
3 years ago
Is 3/7 and 7/3 the same on the number length in the fraction line?
Goshia [24]
No, 3/7 and 7/3 are not the same in the fraction line. It's because 3/7 is less than 1, while 7/3 is as much as 2 1/3.

I hope it will help you mate :)
3 0
3 years ago
How many integer solutions are there to the equation x1+x2+x3=0 if x1,x2,x3 &gt; -5?
anyanavicka [17]
<span>x1+x2+x3=0 if x1,x2,x3 > -5? 
and the solutions are integer
x1= - 4 and x2+x3=4 we count (-4;4;0), (-4;0;4), (-4;3;1), (-4;1;3), (-4; 2;2), (-4;2;2)
x1= -3 and x2+x3=3 we count (-3; 0;3), (-3;3;0), (-3;1;2), (-3;2;1)
x1= -2 and x2+x3=2 we count (-2;0;2). (-2;2;0), (-2;1;1)
x1= -1 and x2+x3=1 we count (-1;0;1), (-1;1;0)
x1=0 and (0;0;0), (0;1;-1), (0;-1;1)
There are 42 solutions
Have fun</span>
4 0
3 years ago
Determine the best method to solve the system of equations. x = 2y – 1 3x + y = 11
IRINA_888 [86]

Answer:

Subsitution

Step-by-step explanation:

We have the equations:

x=2y-1

3x+y=11

The 3 methods of solving systems of equations are:

graphing

substitution

addition/elimination

Graphing involves graphing the two equations and finding their point of intersection, which is the answer

Substitution involves isolating one of the variables in one of the equations, then substituting the resulting expression into the other equation to find both numbers

Addition/Elimination involves adding the two equations together to clear a variable, solving for the other variable, and substituting the answer to the first variable in one of the equations to find the value of the cleared variable from before

Since we have x already isolated onto one side in the first expression, we can easily substitute it as 2y-1 in the second equation.

Therefore, substitution is the best method to solve this graph.

hope this helps!

4 0
3 years ago
Read 2 more answers
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