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erik
1 month ago
12

If f(x) and g(x) are quadratic functions but (f+g)(x) produces true graph below, hutch statement must be true ?

Mathematics
1 answer:
tester [12.3K]1 month ago
3 0

Answer:

A. f (x) and g (x) have opposite leading coefficients

Step-by-step explanation:

A. f (x) and g (x) have opposite leading coefficients

A general form of a quadratic function is:

f (x) = ax^2 + bx + c

g (x) = dx^2 + ex + f

The resulting function is:

(f + g) (x) = (a + d) x^2 + (b + e) x + (c + f)

To ensure the function is linear:

a must equal -d

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Consider randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let B
Zina [12379]

Response:

a. 0.76

b. 0.23

c. 0.5

d. p(B/A) signifies the likelihood that a student with a visa card also possesses a MasterCard.

p(A/B) indicates the probability that a student with a MasterCard also has a visa card.

e. 0.35

f. 0.31

Detailed explanation:

a. p(AUBUC) = P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) + P(AnBnC)

        = 0.6 + 0.4 + 0.2 - 0.3 - 0.11 - 0.1 + 0.07 = 0.76

b. P(AnBnC') = P(AnB) - P(AnBnC)

        = 0.3 - 0.07 = 0.23

c. P(B/A) = P(AnB)/P(A)

        = 0.3/0.6 = 0.5

e. P((AnB)/C) = P((AnB)nC)/P(C)

        = P(AnBnC)/P(C)

        = 0.07/0.2 = 0.35

f. P((AUB)/C) = P((AUB)nC)/P(C)

        = (P(AnC) U P(BnC))/P(C)

        = (0.11 + 0.1)/0.2

        = 0.21/0.2 = 0.31

7 0
1 month ago
The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm 2 484, pi, space, c, m, start su
zzz [12365]

Answer:

The diameter of a large pizza from Gambino's Pizzeria is 44\ cm

Step-by-step explanation:

We know that

The area of a circle (circular pizza) is calculated as

A=\pi r^{2}

we have

A=484\pi\ cm^{2}

substitute values into the equation and resolve for the radius r

484\pi=\pi r^{2}

Simplify

484=r^{2}

r=22\ cm

Determine the diameter

Remember, the diameter is double the radius

D=2(22)=44\ cm

3 0
1 month ago
Read 2 more answers
105,159 rounded to the nearest ten thousand
Svet_ta [12734]

In this problem the number we are working with is:

105,159

By definition we note:

thousand place: a five-digit quantity greater than zero.

Moreover, the rounding rule is:

if the digit being removed is 5 or more, increase the kept digit by one.

Therefore, rounding to the nearest ten thousand yields:

105,159 = 110,000

Answer:

105,159 rounded to the nearest ten thousand is:

105,159 = 110,000

6 0
2 months ago
Read 2 more answers
Ivan and Tanya share £150 in the ratio 4:1 how much more Ivan has then tanya
Zina [12379]

Hello!

--------------------------------------------------------

Solution:

The ratio is expressed as 4 to 1.

Add these parts together.

4 + 1 equals 5.

Now divide.

150 divided by 5 results in 30.

Next, multiply to find Ivan's share.

30 multiplied by 4 gives us 120.

30 multiplied by 1 equals 30 for Tanya.

Verify.

120 plus 30 totals 150.

Then subtract.

120 minus 30 equals 90.

--------------------------------------------------------

Answer:

Ivan possesses £90 more than Tanya!

--------------------------------------------------------

I hope this has been helpful! Best of luck!

3 0
1 month ago
Read 2 more answers
The table shows data from Vicente's Form 1040. Gross income $75,000 Standard deduction $12,000 Taxable income $63,000 Total inco
Inessa [12570]
a+b+c = d indicates that a and d are equal.
7 1
1 month ago
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