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Artist 52 [7]
4 years ago
14

30. f(x) = 11x3 + 3x2 - 4x + 2 and g(x) = 5x3 - 7x + 2. What is f(x) – g(x)? Show all of your steps and

Mathematics
1 answer:
balandron [24]4 years ago
3 0

Answer:

3x(2x^2 +x-1)

Step-by-step explanation:

f(x) = 11x^3 + 3x^2 - 4x + 2,

g(x) = 5x^3 - 7x + 2,

f(x) - g(x) =11x^3+3x^2-4x+2 - (5x^3-7x + 2)=

11x^3+3x^2 -4x+2-5x^3+7x-2=

(11x^3-5x^3)+3x^2+(-4x+7x)+(2-2)=

6x^3 +3x^2 - 3x=

3x(2x^2 +x-1)

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A dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month floss is sold 70 to a box and toothbrushes are sold 5
tatiyna

Answer:

1050 toothbrushes and 1000 floss.

Step-by-step explanation:

15x70=1050

20x50=1000

Hope it helps!

8 0
3 years ago
I need help please. It’s due tomorrow. I’ve tried three times and gotten the same answer, which my textbook says is wrong
Anna11 [10]

Convert what is inside the parenthesis to sixths.

(3/6+2/6-1/6)^3+2/3x4/5

(4/6)^3+2/3x4/5

(2/3)^3+12/15

8/27+12/15

(8x12/27x15)

96/405

32/135

Don't know if that's right though

5 0
4 years ago
If a 12-foot flag pole casts a 4.8-foot shadow, how tall is a flag pole that casts an 8-foot shadow?
andre [41]

Answer:

20-foot flag

Step-by-step explanation:

12-foot flag casts 4.8-foot shadow,

which also means that:

4.8-foot shadow is casted by a 12-foot flag

Lets start by find the length of the flag that will cast a 1-foot shadow.

4.8-foot shadow -----> 12-foot flag

1-foot shadow ----->  12 ÷ 4.8 = 2.5-foot flag

Now we can find the flag that will cast a 8-foot shadow.

1-foot shadow ----->  2.5-foot flag

8-foot shadow  ----->  8 x 2.5-foot  = 20-foot flag

5 0
3 years ago
A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standa
Veronika [31]

Answer:

90% is the answer for confidence interval

Step-by-step explanation:

Given that a field test for a new exam was given.75±0.05(75)

i.e. margin of error =0.05(75)=

The population under study was the seniors. Sample mean and std dev were calculated

Stated that the exam creator ased on the results, that on the same exam, 9 out of 10 seniors will have an average score within 5% of 75%

This implies that 9 out of 10 means in percent 90%

Hence the confidence interval is 90%

SInce 5% of 75 is given the range is 75±(75)

Margin of error =3.75

Confidence interval =(75±3.75)

=(71.25,78.75)

We can interpret this we are 90% confident that  as sample sizes increase, and samples are drawn at random the average grades of seniors would lie between 71.25 and 78.75

3 0
4 years ago
Write an equation in slope-intercept form of the line shown.<br><br> An equation is
ycow [4]

Using the slope intercept formula, the equation for the line in slope intercept form is y = -x - 4

<h3>Slope intercept equation</h3>

The slope intercept equation can be describe as follows:

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore,

(-4, 0)(1, -5)

m = -5 - 0 / 1 + 4 = -5 / 5 = -1

Therefore, let's find b using (1, -5)

-5 = -1(1) + b

-5  = -1 + b

b = -5 + 1

b = -4

Therefore, the equation is y = -x - 4

learn more on slope intercept equation here: brainly.com/question/21010520

5 0
3 years ago
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