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Monica [59]
3 years ago
8

Help me simplify this question 5p-3-(1+p)+(2p)​

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:

This is the answer. All the very best

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In the system of equations, r and s are constants. If the system has infinitely many solutions, what is the value of rs?
exis [7]

Answer:  B) -48

Step-by-step explanation:

If the system of two linear equations a_1x+b_1y=c_1\ \&\ a_2+b_2y=c_2 has infinitely many solutions , then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=k

For the given system of linear equations : rx-sy=26\\4x+3y=13

We , will have

\dfrac{r}{4}=\dfrac{-s}{3}=\dfrac{26}{13}=2\\\\\Rightarrow\ r= 4\times2=8\ \ \&\ \ s=2\times-3=-6

The value of rs=(8)\times-6=-48

Hence, the value of rs is -48.

Thus , the correct option is B) -48.

6 0
3 years ago
If f(x)=2x^3-6x^2-16x-20f(x)=2x *3 −6x *2−16x−20 and f(5)=0, then find all of the zeros of f(x)f(x) algebraically.
mihalych1998 [28]

The zeros of the cubic function f(x) = 2x³ - 6x² - 16x - 20 are given as follows:

x = 5, x = -1 + i, x = -1 - i.

<h3>How to obtain the solutions to the equation?</h3>

The equation is defined by the rule presented as follows:

f(x) = 2x³ - 6x² - 16x - 20.

One solution for the equation is given as follows:

x = 5.

Because f(5) = 0.

Then (x - 5) is a linear factor of the function f(x), which can be written as follows:

2x³ - 6x² - 16x - 20 = (ax² + bx + c)(x - 5).

This is because the product of a linear function and a quadratic function results in a cubic function.

Now we expand the right side to begin finding the coefficients of the quadratic function that we are going to solve to find the remaining zeros:

2x³ - 6x² - 16x - 20 =  = ax³ + (b - 5a)x² + (c - 5b)x - 5c.

Then these coefficients are obtained comparing the left and the right side of the equality as follows:

  • a = 2.
  • -5c = -20 -> c = 4.
  • b = -6 + 5a = 4.

Hence the equation is:

2x² + 4x + 4.

Using a quadratic equation calculator, the remaining zeros are given as follows:

  • x = -1 + i.
  • x = -1 - i.

More can be learned about the solutions of an equation at brainly.com/question/25896797

#SPJ1

8 0
1 year ago
If ​3 is divided into pieces that are 1/2​ of a whole each, how many pieces are there in total?
ololo11 [35]

Answer: 6

All u have to do is multiply 3 and 2 to get 6

3 0
3 years ago
Please help me ASAP yall!!!
ASHA 777 [7]

Answer:

60

Step-by-step explanation:

<C+<D = 180 since they form a straight line

5x+20 +3x = 180

8x+20 = 180

Subtract 20 from each side

8x+20-20 = 180-20

8x = 160

Divide by 8

8x/8 = 160/8

x = 20

We want to find angle D

<D = 3x= 3*20 = 60

8 0
3 years ago
Mrs. Walters drove 360 miles of gas on 25 gallons of gas. Mr. Walters drive 480 miles on 32 gallons of gas. A. find the mileage
NikAS [45]
A.360 / 25= 14.4
B. 480 / 32= 15

B Is getting better mileage 
<span />
3 0
3 years ago
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