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3 years ago

If (x+5) is a factor of 3x^2+14x+k, what is the value of k?

Mathematics

1 answer:

kherson [118]3 years ago

7 0

If (x+5) is a factor the equation will equal zero when x=-5 so

3(-5^2)+14(-5)+k=0

75-70+k=0

5+k=0

k=-5

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The table below contains values for a linear relationship. One value from the table is missing.

kifflom [539]

The missing value is -3.

Step-by-step explanation:

Step 1; First, we need to determine the equation relating the x to the y values in the table. y is the dependent value whereas x is the independent value i.e. the value of y depends on the value of x.

Step 2; If we multiply the value of x with -2 and add the resulting answer with 1 we get the value of y.

y = -2x + 1 is the equation that relates the values in the table.

Step 3; Now we substitute the values in the equation

For x = 3, y = -2(3) + 1 = -6 + 1 = -5,

For x = -1, y = -2(-1) + 1 = 2 + 1 = 3,

For x = 0, y = -2(0) + 1 = 0 + 1 = 1,

For x = 2, y = -2(2) + 1 = -4 + 1 = -3,

For x = 4, y = -2(4) + 1 = -8 + 1 = -7,

For x = 7, y = -2(7) + 1 = -14 + 1 = -13.

So the value of y when x = 2 is -3.

8 0

3 years ago

The volume of a shipping container is 448.656 cubic inches, and it can hold 24 smaller boxes. What's the volume of each of the s

madreJ [45]

Answer:

The volume of each of the smaller boxes = 18.694 inches³

Step-by-step explanation:

The volume of Shipping container = 448.656 inches³

The shipping container hold small boxes of numbers = 24

So, The volume of each of small boxes = $\frac{448.656}{24}$ inches³

Or, The volume of each of small boxes = 18.694 inches³

Hence The volume of each of 24 small containers is 18.694 inches³ Answer

5 0

3 years ago

Find the area of the following shape. You must show all work to receive credit.

Artist 52 [7]

By comparing the given shape with easier ones like triangles and rectangles we will see that the area of the shape is 8 square units.

<h3>How to simplify the shape.</h3>

So the given shape is a little bit complex, but you can actually see that it is a triangle with a base of 8 units with a height of 4 units, where a rectangle of 2 in by 3 in was removed, and also removed a triangle of height of 2 inches and base of 2 inches.

Remember that:

A triangle of height H and base B has an area = B*H/2
A rectangle of length L and width W has an area = L*W.

Then the area of the given shape is:

A = 8*4/2 - 3*2 - 2*2/2

A = 16 - 6 - 2

A = 8

So the given shape has an area of 8 square units.

If you want to learn more about areas, you can read:

brainly.com/question/14137384

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2 years ago

HCPS Algebra

ira [324]

Answer:

Step-by-step explanation:

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2 years ago

If the 5 digit number 1732p is divisible by 9, then p =<br> O 3<br> O 5<br> O 7<br> O 4

OlgaM077 [116]

Answer:

p = 5

Step-by-step explanation:

1732(5)/9 = 1925

8 0

2 years ago