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2 years ago

E=6c^2-2c-1 F=-4c^2+7c+5 E+F=

Mathematics

1 answer:

kifflom [539]2 years ago

4 0

Answer:

E + F = 2c^2 + 5c + 4

Step-by-step explanation:

E=6c^2-2c-1

F=-4c^2+7c+5

E+F= 6c^2 -2c -1 + -4c^2 + 7c + 5

E + F = 6c^2 - 4c^2 - 2c + 7c - 1 + 5

E + F = 2c^2 + 5c + 4

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Identify each function that has a remainder of -3 when divided x+6

Sergeu [11.5K]

Answer:

Step-by-step explanation:

According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.

So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.

For A:

$x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494$

For B:

$x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6$

For C:

$x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583$

For D:

$x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3$

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

5 0

2 years ago

What is the sum of 1 2/5 and 5 3/4

Art [367]

Answer:

$7\frac{3}{20}$

Step-by-step explanation:

Hey there!

Well to add this we need to pu it in improper form.

7/5 + 23/4

Now we need to find the LCM.

5 - 5, 10, 15, 20, 25, 30

4 - 4, 8, 12, 16, 20, 24, 28

So the LCD is 20.

Now we need to change the 5 and 4 to 20.

5*4 = 20

7*4 = 28

28/20

4*5=20

23*5=115

115/20

Now we can add 28 and 115,

= 143/20

Simplified

7 3/20

Hope this helps :)

4 0

3 years ago

Read 2 more answers

an astronaut who weighs 126lb on earth weighs 21lb on the moon. How much would a person who weighs 25lb on the moon weigh on ear

irakobra [83]

If 21 Ib on moon=126 IB on earth
25 Ib on moon=?
25/21*126=150
Therefore the astronaut will weigh 150Ib on earth

7 0

2 years ago

Find the value of a and YZ if Y is between X and Z. XY = 7a, YZ = 5a, XZ = 6a + 24 = YZ =

Aleksandr-060686 [28]

x-y-z

$\\ \sf\longmapsto XY+YZ=XZ$

$\\ \sf\longmapsto 7a+5a=6a+24$

$\\ \sf\longmapsto 12a=6a+24$

$\\ \sf\longmapsto 12a-6a=24$

$\\ \sf\longmapsto 6a=24$

$\\ \sf\longmapsto a=\dfrac{24}{6}$

$\\ \sf\longmapsto a=5$

YZ=5a=5(5)=25

5 0

2 years ago

If b is the midpoint of ac and if c is the midpoint of bd, then what percent of cd is ac

Sergeu [11.5K]

Answer:

ac is 200% of cd

Step-by-step explanation:

To answer this question, we shall be making a visual representation.

Let’s take it one at a time.

Given;

b is the midpoint of ac

a b c

What this means is that a-b represents 50%, while bc represents another 50%

okay, we move on:

c is the midpoint of bd

b c d

What this means is that bc is 50%, while cd is another 50%.

So let’s combine the representations;

a 50% b 50% c 50% d

Now what does the question says again?

What percent of cd is ac?

From a to c, we can see two 50% which means 100%

while cd is just the regular 50%

So we can see that ac is actually twice cd

What we are saying here is , if cd is x, then ac is 2x

So we can restructure our question to mean, what percent of x is 2x?

That is simply 2x/x * 100 and that is 200%

7 0

2 years ago

Read 2 more answers