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3 years ago

Please Help ASAP

Mathematics

1 answer:

Tju [1.3M]3 years ago

3 0

9514 1404 393

Answer:

no solution

Step-by-step explanation:

The discriminant is ...

b^2 -4ac = (-4)^2 -4(2)(16) = 16 -128 = -112

A negative discriminant means there are no real solutions to the equation.

_____

The complex solutions are 1±i√7.

If we assume the equation has a typographical error and is intended to be ...

2x^2 -4x -16 = 0

The solutions are x = -2 and x = 4.

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A farmer sows 100 seeds of a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the

snow_lady [41]

Answer:

the fewest number is 5,6,7

Step-by-step explanation:

hope it helps

7 0

2 years ago

(no links) Please Help!

nadya68 [22]

9514 1404 393

Answer:

D, B

Step-by-step explanation:

Price per pound is found by dividing dollars by pounds.

Store A: $9/(3 lb) = $3.00 /lb

Store B: $9.75/(3 lb) = $3.25 /lb

Store C: $12.40/(4 lb) = $3.10 /lb

Store D: $14.50/(5 lb) = $2.90 /lb

<u>Part A</u>: The lowest price per pound is $2.90 per pound at store D.

<u>Part B</u>: The highest price per pound is $3.25 per pound at store B.

5 0

3 years ago

The area of a rectangular wall of a barn is 168 square feet. Its length is 10 feet longer than twice its width. Find the length

Katen [24]

So area is 168 sq ft

That means that length * width = 168 sq ft
Since length = 10 + 2 w

we get (10+2w)(w) = 168

Multiply it out and you get 2w^2 + 10w - 168 = 0

This is a quadratic equation. You can use the formula here, but i'll just tell you the answer

w = -12, or 7
since it can't equal -12 (ever heard of a barn with a length of -12?), you figure out the answer is 7.

If the width is 7, then the length is 10+2(7) = 24.

Have a nice day!

8 0

3 years ago

There are currently 16 teams in the National Football Conference (NFC). Of those teams, 11 have won at least one super bowl and

svp [43]

You are given 16 teams, 11 have won at least one super bowl and 5 have not.

A. The probability that both selected teams have won at least 1 super bowl is

$Pr(A)=\dfrac{C_{11}^2}{C_{16}^2}=\dfrac{\dfrac{11!}{2!(11-2)!}}{\dfrac{16!}{2!(16-2)!}}=\dfrac{\dfrac{10\cdot 11}{2}}{\dfrac{15\cdot 16}{2}}=\dfrac{55}{120}=\dfrac{11}{24}.$

B. The probability that neither selected team has won at least 1 super bowl is

$Pr(B)=\dfrac{C_{5}^2}{C_{16}^2}=\dfrac{\dfrac{5!}{2!(5-2)!}}{\dfrac{16!}{2!(16-2)!}}=\dfrac{\dfrac{4\cdot 5}{2}}{\dfrac{15\cdot 16}{2}}=\dfrac{10}{120}=\dfrac{1}{12}.$

C. The probability that at least one selected team has won at least 1 super bowl is

$Pr(C)=1-Pr(B)=1-\dfrac{1}{12}=\dfrac{11}{12}.$

D. to find the probability that the second team selected has won at least 1 super bowl given that the first team selected has not won a super bowl, consider such events:

P - the second team selected has won at least 1 super bowl;

Q - the first team selected has not won a super bowl.

Then

$Pr(P|Q)=\dfrac{Pr(P\cap Q)}{Pr(Q)}=\dfrac{\dfrac{5\cdot 11}{C_{16}^2}}{\dfrac{C_5^1\cdot C_{15}^1}{C_{16}^2}}=\dfrac{55}{75}=\dfrac{11}{15}.$

E. To find the probability that the second team selected has won at least 1 super bowl given that the first team selected has won at least 1 super bowl, consider events:

M - the second team selected has won at least 1 super bowl;

N - the first team selected has won at least 1 super bowl.

Then

$Pr(M|N)=\dfrac{Pr(M\cap N)}{Pr(N)}=\dfrac{\dfrac{11\cdot 10}{C_{16}^2}}{\dfrac{C_{11}^1\cdot C_{15}^1}{C_{16}^2}}=\dfrac{110}{165}=\dfrac{2}{3}.$

3 0

3 years ago

Graph the line with y-intercept 5 and slope 1/4?

ser-zykov [4K]

<h2>Answer:</h2>

<em>(Check the attached image).</em>

<h2>Step-by-step explanation:</h2>

<h3>1. Identify the given information.</h3>

a. We have the slope of the line, 1/4.

b. We also have a point of said line, because when the question states "y-intercept 5..." it's telling us that the lines touches the y intercept on the value y= 5, and this only happens when x= 0. Hence, a given point is (0, 5).

• Formula for constructing linear equations.

Formula: $y-y_{1} =m(x-x_{1} )$ ; where m is the slope of the function; x1 is the x value of a point the function passes through, and y1 is the y value of a point the function passes through.

<h3>2. Substitute in the formula and calculate the equation of the line.</h3>

$y-(5) =(\frac{1}{4} )(x-(0) )\\ \\y-5=\frac{1}{4} x\\ \\y=\frac{1}{4} x+5$

<h3>3. Graph the line.</h3>

<em>(Check the attached image).</em>

7 0

2 years ago