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2 years ago

Compound inequality that represents all the numbers between -4 and 6

1 answer:

6 0

You can write it as:
-4≥x≤6

*The '≥' and '≤' just means that it is greater than or less than but it can still be equal to the number you are comparing it to.

Hope this helps! :)

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Mario's heart beats 72 times per minute. how many times does it beat in a year. answer in standard form correct to 2 significant

klemol [59]

You would do 60 seconds multiplied by 24 hours in a day which would be 1440 beats then you would multiply by the number of days in a year which is 365 then you would get the awnser of 525,600 beats per year.

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3 years ago

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Find the inner product for (5,-1)*(-3,6) and state whether the vectors are perpendicular. a. 21; no c. -21; no b. 21; yes d. -21

nataly862011 [7]

Answer:

Step-by-step explanation:

If the dot product of the vectors is zero then they are perpendicular

(5, - 1) • (- 3, 6)

= (5 × - 3) + (- 1 × 6) = - 15 + (- 6) = - 15 - 6 = - 21 ≠ 0

Since product is not zero vectors are not perpendicular

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3 years ago

0.580000 as a fraction

Paul [167]

Answer:

$\frac{58}{100}=\frac{29}{50}$

Step-by-step explanation:

Since this is mathematics, significant figures are not necessary. Thus, we can just take 0.58 and delete the 0s. Now, $0.58=\frac{58}{100}$ .

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3 years ago

in need of help! Mrs. Sanger blended 8 3/4 gallons of iced tea with some lemonade for a picnic. if there were 13 2/5 gallons of

vodka [1.7K]

13 2/5- 8 3/4= 4 13/20 gallons of lemonade

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3 years ago

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Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60

RSB [31]

Answer:

$f(x)=2x^{3}+24x^{2}+82x+60$

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

$f(x)=a(x+6)(x+5)(x+1)$

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

$60=a(0+6)(0+5)(0+1)$

$60=a(6)(5)(1)$

$60=30a$

$a=2$

$f(x)=2(x+6)(x+5)(x+1)$

Applying the distributive property

Convert to expanded form

$f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60$

3 0

3 years ago