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2 years ago

Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots 5 and 2?

2 answers:

6 0

A root of a polynomial doesn't mean it is a square root of!!!!!!

P(x)=3(x-5)(x-2)=3x²-21x+30

f (x)= 3 x power point 2 - 21 x + 30

Alex Ar [27]2 years ago

4 0

Answer:

the polynomial is: $3x^2-21x+30$

Step-by-step explanation:

we know that the polynomial function p(x) of lowest degree with roots as 'a' and 'b' and leading coefficient as 'c' is given by: $p(x)=c(x-a)(x-b)$

here we are given that the roots are 5 and 2 and the leading coefficient is 3.

so the polynomial p(x) of lowest degree with the above properties is: $p(x)=3(x-5)(x-2)$

$p(x)=3(x^2-5x-2x+10)$

$p(x)=3(x^2-7x+10)$

$p(x)=3x^2-21x+30.$ .

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John's average for making free throws in a basketball game is .80. In a one-and-one free throw situation (where he shoots a seco

Illusion [34]

The probability of John making the first and missing the second is:
$P(makes\ 1\ basket)=0.8\times(1-0.8)=0.16$

4 0

2 years ago

Read 2 more answers

6 questions = 30 points someone please help me

eduard

Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = $2\pi rL$

Area of the parts that cover the open parts of cylinder = $2\pi r^2$

Therefor Total are of the cylinder = $2\pi rL+2\pi r^2$

Area of the total cylinder = $2*3.14*6.8*14.2+2*3.14*6.8^2$

= $896.784$

Therefor best estimate will be D) 923 in^2

Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

$(AC)^2+(CB)^2=(AB)^2$

The distance from A to C = 6

The distance from C to B = 5

$(AC)^2=6^2=36$

$(CB)^2=5^2=25$

$(AC)^2+(CB)^2=(AB)^2=36+25=61$

Therefor $(AB)^2=61\\(AB)=\sqrt{61}$

Therefor Answer is D) Sqr 61

Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

Area of the Store 1 = $\frac{1}{2} *(110+40)*110=8250$

Area of the Store 2= $\frac{1}{2} *110*80=4400$

Therefore Revenue from Store 1 = $8250

Revenue from Store 2 = $4400

Answer is A) Store 1 has more sales revenue

Answer for Question 4

$\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545$

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

$\frac{11}{23} =0.4782$ , therefor this is not in between those two numbers.

Then it has to be $\frac{115}{264} =0.4356$

Answer is B)

Answer for question 6

The equation of a straight line is of the form $y=mx+c$

here m is the gradient and c is the intercept.

Find the intercept(c) by finding the y value when x value is 0, here it is +1.

Gradient (m) of the graph can be found by,

$\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2$

Therefor the equation of the graph is,

$y=2x+1$

Answer is C

Answer for question 7

$\frac{7}{8} =0.875$

$\frac{6}{9} =0.67$

We can discard answer A because the value is close to 0.5

We can discard answer B because 3/17 is a very small value (0.17)

$\frac{53}{72} =0.73$ , This falls between the above 2 numbers.

Therefor answer is C

5 0

2 years ago

The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bough

jarptica [38.1K]

Juice bottles are J, replace j with 6 in the equation and solve for w:

3w + 4(6) = 39

3w + 24 =39

Subtract 24 from both sides:

3w = 15

Divide both sides by 3:

w = 15/3

w = 5

You can buy 5 water bottles.

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2 years ago

Read 2 more answers

Evaluate 4(a2 + 2b) - 2b

iogann1982 [59]

4(a^2 + 2b) - 2b
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2 years ago

On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negat

SpyIntel [72]

Answer:

They are parallel because their slopes are equal

Step-by-step explanation:

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2 years ago