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2 years ago

If x-3 is a factor of x3+4x2+kx-30.Find the value of k.

Mathematics

1 answer:

Bogdan [553]2 years ago

3 0

Answer:

k=-11

Step-by-step explanation:

$x^{3}+4x^{2}+kx-30$

if $x-3$ is a factor,

$(3)^{3}+4(3)^{2}+k(3)-30=0\\27+4*9+3k-30=0\\27+36+3k-30=0\\33+3k=0\\3k=-33\\k=-11$

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Danica made $440 working at a pet shop last month. She worked a total of 40 hours. How much money did Danica make per hour?

UNO [17]

Answer:

Danica made 11 dollars per hour.

Step-by-step explanation:

Divide- 440/40=11

Check 11*40=440

She made 11 dollars per hour.

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2 years ago

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The sum of 6 and another number is 23, write and solve an equation to find the other number

zlopas [31]

Answer: 23 - 6 = x

x = 17

Step-by-step explanation:

6 + x = 23

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23 - 6 = 17

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Hope this helps!

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3 years ago

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Solve using elimination. -2x + y = 1 -6x - y = -9 HELP

laiz [17]

Answer:

(x,y) = (8,7)

Step-by-step explanation:

Solve equation [2] for the variable x

[2] x = y + 15

Plug this in for variable x in equation [1]

[1] (y +15) + y = 1

[1] 2y = -14

Solve equation [1] for the variable y

[1] 2y = - 14

[1] y = - 7 By now we know this much :

x = y+15

y = -7

// Use the y value to solve for x

x = (-7)+15 = 8

Solution :

{x,y} = {8,-7}

5 0

2 years ago

Pls help a girl out .......

VARVARA [1.3K]

Answer:

Yes

Step-by-step explanation:

The sentence does correctly state the equation written.

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3 years ago

Simon and his niece Marcie are comparing their ages to see if there is a Mathematical connection. They find that Simon is three

Rom4ik [11]

Answer:

Simon's Age = 47

Marcie's Age = 11

Step-by-step explanation:

The question is to find Simon's age and Marcie's age.

Let Simon's age be x and Marcie's age be y

Simon is 3 years more than 4 times marcie, so we can write:

x = 4y + 3

Also,

Sum of their ages is 58, so we can write:

x + y = 58

or x = 58 - y

Now, we substitute this into 1st equation and solve for y first:

$x = 4y + 3\\58-y = 4y + 3\\58-3=4y+y\\55=5y\\y=\frac{55}{5}\\y=11$

We know

x = 58 - y

so,

x = 58 - 11

x = 47

So,

Simon's Age = 47

Marcie's Age = 11

3 0

2 years ago

If x-3 is a factor of x3+4x2+kx-30.Find the value of k.​

If x-3 is a factor of x3+4x2+kx-30.Find the value of k.