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mihalych1998 [28]
3 years ago
15

The sum of two integers is 54 and their difference is 10. find the integers.

Mathematics
1 answer:
Crank3 years ago
7 0
The two integers are 22 and 32 (2x+10=54
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Consider the following polynomial functions.<br> f(a) = (2a - 7 + a?) and g(a) = (5 – a).
mote1985 [20]

Answer:

1 false

2 true

3 true

4 false

5 true

Step-by-step explanation:

f(a) = (2a - 7 + a^2) and g(a) = (5 – a).

1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial

When added together, they will be a second degree polynomial

2. true  When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction

3.  true  f(a) + g(a) = (2a - 7 + a^2) + (5 – a)

Combining like terms = a^2 +a -2

4.  false   f(a) - g(a) = (2a - 7 + a^2) - (5 – a)

Distributing the minus sign (2a - 7 + a^2) - 5 + a

Combining like terms  a^2 +3a -12

5.  true  f(a)* g(a)  = (2a - 7 + a^2)  (5 – a).

Distribute

                       (2a - 7 + a^2)  (5)  – (2a - 7 + a^2)  (a)

                        10a -35a +5a^2 -2a^2 -7a +a^3

Combining like term

-a^3 + 3 a^2 + 17 a - 35

4 0
2 years ago
Read 2 more answers
How to simplify this expression
dexar [7]

Answer:

  \dfrac{x+2}{x+1}

Step-by-step explanation:

Factor the numerator and cancel common factors from numerator and denominator.

  \dfrac{x^2-4}{(x-2)(x+1)}=\dfrac{(x-2)(x+2)}{(x-2)(x+1)}=\dfrac{x+2}{x+1}

5 0
3 years ago
Given a term in the geometric sequence and the common ratio find the first five terms the explicit form and the recursive formul
Pani-rosa [81]
A1 = 4
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500

Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n

Recursive formular is a_{n+1} = 5a_{n-1}
5 0
2 years ago
Two months later,The Jensen family takes their moms sedan on a different trip.When she fills the tank,Sally’s mom records the mi
riadik2000 [5.3K]

Answer:

18.04 gallons

Step-by-step explanation:

The cost of filling the empty tank of the vehicle is $71.98.  

If each gallon of gas costs $3.99, then we have to find the volume of the sedan's tank in gallons.

Now, $3.99 is the cost of 1 gallon of gas.

Hence, $71.98 will be the cost of \frac{71.98}{3.99} = 18.04 gallons.

Therefore, the volume of the tank is 18.04 gallons. (Answer)

8 0
3 years ago
-2(7 – y) +4= -4<br> How do you solve this
finlep [7]
The answer to this question is y=3
5 0
3 years ago
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