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3 years ago

is (x+5) a factor of f(x)=x^3 - 4x^2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning.

Mathematics

1 answer:

mestny [16]3 years ago

4 0

<h2>Answer:</h2><h2>hope it helps you see the attachment </h2>

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A) 2x + y - 12 = 0 x + y + 3 = 0

AVprozaik [17]

Answer:

x=15 and y= -18

Step-by-step explanation:

$2x + y - 12 = 0$ Equation 1

$x + y + 3 = 0$ Equation 2

From two given equations, we can find the value of both x and y by finding the value of one variable from any one of the two equations in terms of other variable and putting it to other equation.

Solving equation 1

Finding 'y' in terms of 'x' $2x+y=12\\y=12-2x$ Equation 3

Putting above equation in equation 3 in 2

$x + y + 3 = 0$

$x+12-2x+3=0$

$x=15$

Putting value of 'x' in equation 3 to find the value of 'y'

$y=12-2(15)\\y=12-30\\y= -18$

6 0

4 years ago

A pipe fills a barrel with vinegar in 20 minutes. A release valve on the barrel, used for drainage, can empty the barrel in 40 m

zloy xaker [14]

Answer:

40 minutes

Step-by-step explanation:

We have a load and a discharge, given by a speed that would be a barrel / minute.

Which means that the loading rate is: 1/20

And the discharge rate: 1/40

Since they are contrary, the result would be the subtraction between these two rates:

1/20 - 1/40 = 1 / x

1 / x = 0.025

x = 1 / 0.025

x = 40

Which means it will take 40 minutes to fill under the mentioned conditions

6 0

3 years ago

Select all the equations where x = 3 is a solution.

34kurt

Answer:

Step-by-step explanation:

X +4=

8x=32

7 0

4 years ago

2x+3(2)=4 This is substitution. Please help I am stuck

Ber [7]

Answer:

x = -1

Step-by-step explanation:

2x + 3(2) = 4

2x + 6 = 4 Multiply 2 and 3 to get 6.

2x = -2 Subtract 6 from both sides to isolate 2x.

x = -1 Divide both sides by 2 to find x.

7 0

3 years ago

Given that 243√3 =3^a, find the value of a

exis [7]

Answer:

a=11/5 OR 5.5

Step-by-step explanation:

8 0

4 years ago