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kati45 [8]
3 years ago
13

Given x^2 -4x+4 is a factor of the polynomial 2x^4 - 11x^3 +68x-80, completely factor the polynomial using algebraic methods.​

Mathematics
1 answer:
asambeis [7]3 years ago
4 0
Answer:

2x^4-11x^3+68x-80

2x^4-4x^3-7x^3+14x^2-14x^2+28x+40x-80

2x^3(x-2)-7x^2(x-2)-14x(x-2)+40(x-2)

(x-2)(2x^3-7x^2-14x+40)

(x-2)(2x^3-4x^2-3x^2+6x-20x+40)

(x-2)(2x^2(x-2)-3x(x-2)-20(x-2))

(x-2)(x-2)(2x^3-3x-20)

(x-2)(x-2)(2x^2+5x-8x-20)

(x-2)(x-2)(x(2x+5)-4(2x+5))

(x-2)(x-2)(2x+5)(x-4)

(x-2)^2(2x+5)(x-4)
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1.
Reil [10]

Answer:

150

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360.  Let x be the unknown angle

30+70+110+x = 360

Combine like terms

210 +x = 360

Subtract 210 from each side

210+x-210 = 360-210

x = 150

6 0
2 years ago
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The weights of baskets of strawberries are normally distributed with a mean of 3.8 ounces and a standard deviation of 1.1 ounces
Crazy boy [7]

Answer:

6 ounces

Step-by-step explanation:

this one is mainly elimination. 3.8 and 4.9 cant be because they're too close to the mean. and 7.1 is too far. you can also use z-score. the z score of .975 is 1.96 we can plug that into out formula so

1.96=(x-3.8)/1.1

multiply both sides by 1.1 and then add 3.8

you can also use scientific calculator.

second vars, 3, the area is your percent so .975, the u is mean so 3.8, the o is standard deviation so 1.1

7 0
2 years ago
Fill in the missing fraction.<br><br> I need help on this, I'm very confused.
kotegsom [21]

*edit

Answer:

4/5

Step-by-step explanation:

you'd do 4 divided by 2 which is 2, then you'd do 10 divided by 2 which is 5. so you get 4/5.

7 0
3 years ago
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Henry can type 3500 words in 70 minutes. Colin can type 1500 in 30 minutes. Brian can type 2200 words in 40 minutes. Who types a
Snezhnost [94]

Given:

Henry can type 3500 words in 70 minutes.

Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

Solution:

We know that,

\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}

Using this formula, we get

\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50

\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50

\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55

Since 55>50, therefore Brian's types at the fastest rate of words per minute.

6 0
3 years ago
Say your car doesn’t run on straight gasoline and you have to mix the oil with gas together in a specific ratio of 2.4 fl oz of
Lapatulllka [165]

Answer:

3.6 fl oz

Step-by-step explanation:

figure out the percentage of the gallon that was used in the original ratio, in this case 1 that was used in 1.5. thats 150%

so no multiply 2.4 by 1.5 to get 3.6

to check work divide both ratios and see if its the same number (i checked)

5 0
3 years ago
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