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3 years ago

If p, q are zeroes of polynomial f(x) =2x^2-7x+3,find the value of p^2+q^2

Mathematics

1 answer:

Elza [17]3 years ago

4 0

Answer:

p^2 + q^2 = 22/9.

Step-by-step explanation:

For a quadratic function ax^2 + bx + c if the zeroes are A and B then

A + B = -b/a and AB = c/a.

2x^2 - 7x + 3

Now p and q are the zeroes of the above function so

p + q = 7/3 and pq = 3/2.

Now p^2 + q^2 = (p + q)^2 - 2pq

= (7/3)^2 - 2* 3/2

= 49/9 - 3

= 49/4 - 27/9

= 22/9.

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A company uses the function C(x)=20.50+2000, where C is the cost and x is the number of units it produces, to determine its dail

Kipish [7]

You left it out, but I'm thinking that there must be an 'x' next to the '20.50' in the function. I'm so sure of it that I'll assume it, as I proceed to answer the question:

C(x) = 20.50x + 2,000

Subtract 2,000 from each side: C - 2,000 = 20.50 x

Divide each side by 20.50 : x = (C - 2,000) / 20.50

When C = $625,000 . . .

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3 years ago

A band consists of 3 woodwinds for every 7 members of the band. The independent quantity represents the total members of the ban

IgorC [24]

Answer: $k=\frac{3}{7}$

Step-by-step explanation:

For this exercise it is important to remember the following:

The constant of proportionality, which is represented as "k", describe the constant ratio of two quantities that are proportional (the independent and dependent variables).

In this case we know that the independent quantity represents the total members of the band and the dependent quantity represents the woodwind members of the band.

Since the band consists of 3 woodwinds for every 7 members of the band, we can conclude that the constant of proportionality for this relationship is:

$k=\frac{3}{7}$

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3 years ago

A. To find the slope and intercept of an equation, the equation must be in _________________ form.

deff fn [24]

1. Standard form
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3 years ago

Convert “6750.” into scientific notation

Sophie [7]

Answer:

6.75 × 10^3

Step-by-step explanation:

Move the decimal 3 times to the left so that the resulting number, m = 6.75, is greater than or equal to 1 but less than 10

Since we moved the decimal to the left the exponent n is positive

n = 3

Write in the scientific notation form, m × 10^n

6.75 × 10^3

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2 years ago

At the bottom is a completed addition problem, with all the digits replaced by letters. Every letter represents a single digit a

Rashid [163]

Answer:

T = 5 (H = 7, M = 1); T = 7 (H = 4, M = 2); T = 9 (H = 1, M = 3)

Step-by-step explanation:

We know MH+MH+MH=TM

MH is a two digit number, and TM is also a two digit number.

MH+MH+MH=3*(MH)<100

3M<=9, meaning that M could be 1, 2, or 3.

If M=1, MH+MH+MH=3(10+H)=30+3H=TM=10*T+1

30+3H=10T+1, so 3H must include 1 in one's digit.

The only possibility is that 3H = 21, then H = 7

MH+MH+MH=17+17+17=TM=51, T = 5

If M=2, MH+MH+MH=3(20+H)=60+3H=TM=10T+2

60+3H=10T+2, so 3H must include 2 in one's digit.

The only possibility is 3H = 12, then H = 4

MH+MH+MH=24+24+24=72, T = 7

If M=3, MH+MH+MH=3(30+H)=90+3H=TM=10T+3

90+3H=10T+3, so 3H must include 3 in one's digit.

The only possibility is 3H = 3, then H =1

MH+MH+MH=31+31+31=93, T=9

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3 years ago

If p, q are zeroes of polynomial f(x) =2x^2-7x+3,find the value of p^2+q^2​

If p, q are zeroes of polynomial f(x) =2x^2-7x+3,find the value of p^2+q^2