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Alex_Xolod [135]
3 years ago
12

Solve the system of equations. -5x - 12y - 43z = -136 -4x - 14y - 52z = -146 21x + 72y + 267z = 756

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
7 0

There is no solution for this system of equations.

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Reggie earns $12.65 per hour and works 38 hours per week. How much does he warm in a week before taxes are taken out?
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Reggie earns $480.70 a week before taxes are taken out.
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4 years ago
Prove that an = 4^n + 2(-1)^nis the solution to
olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute a_n=4^n+2(-1)^n in the equation a_n=3a_{n-1}+4a_{n-2} the equality is true.

Let's substitute first in the right hand side:

3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})

Now we use the distributive laws. Also, note that (-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n} (this also works when the power is n-2).

=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}

=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}

=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n

then the sequence solves the recurrence relation.

4 0
3 years ago
Please fill in the blank.
Dvinal [7]
IGH because the angles line up
5 0
3 years ago
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Which is an equation in slope intercept form of the line that contains the points (7,-9) and (8,-7)
jeyben [28]

Answer:

y=2x-23

Step-by-step explanation:

m=(-9+7)/(7-8)=-2/-1=2

y=2x+b

-7=2(8)+b

-7-16=b

b=-23

y=2x-23

7 0
3 years ago
Ricardo spends 2 2/3 hours practicing soccer on
ladessa [460]

Answer:

10 7/12 hours

Step-by-step explanation:

so we have to multiply 2 2/3 twice since he does that many hours for 2 days. We then have to multiply 1 3/4 three times since he does that many hours for 3 days. Lets first convert 2 2/3 into a mixed fraction. 2 2/3 = 3 times 2 =6 +2=8 over 3. 1 3/4=4 times 1=4+3=7 over 4. 8/3 times 2 equals 16/3 which eqials

5 1/3 hours. 7/4 times 3 equals to 21/4 which equals to 5 1/4. Lets now add

5 1/3 and 5 1/4. 5+5=10 but the fractions are not the same. Therefore, we need to make it to a common denominator. 4 times 3 equals to 12 so 4/12 plus 3/12 equals 7/12. Final answer equals to 10 7/12.

3 0
3 years ago
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