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valina [46]
3 years ago
10

If f(x) = -3x4 - 2x3 + 3x2, and g(x) = 3x4 - 4x3 + x2 then f(x) + g(x) =

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0
I'm assuming the the numbers coming after the variables are meant to be exponents, and if I'm wrong just let me know

-3x^4 - 2x^3 + 3x^2 + 3x^4 - 4x^3 + x^2, rearrange to have like terms in order
-3x^4 +3x^4 - 2x^3 - 4x^3 +3x^2 + x^2, now simplify
                0    -6x^3 + 4x^2
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Kathy needs money for a trip to Europe if she has US$300 in the bank but wants to withdraw half of it In British pounds and half
Aleks [24]

Answer: She has 21.63 more euros than pounds and has 1.23 times more euros than pounds.

Step-by-step explanation:

She has US$300, and she will withdraw half of it on pounds, and half of it in euros.

(half of US$300 is US$150)

We know that:

1 pound = US$1.6

(1 pound/US$1.6) = 1

Then US$150 = US$150*(1 pound/US$1.6) = (150/1.6) pounds = 93.75 pounds.

And we also know that:

1 euro = US$ 1.3

then:

(1 euro/US$ 1.3) = 1

This means that:

US$150 = US$150*(1 euro/US$ 1.3) = (150/1.3) euros = 115.38 euros.

This means that:

115.38 - 93.75 = 21.63

This means that she has 21.63 more euros than pounds.

and:

115.38/93.75 = 1.23

She has 1.23 times more euros than pounds.

6 0
3 years ago
Justin had $24 to buy a gift card for his cousin Julie and he found a gift for $22 with 5% sales tax is added on will Justin hav
Aloiza [94]
Yes he would have enough money.

8 0
3 years ago
PLEASE HELP!!! I WILL MARK BRAINLEST!!!
storchak [24]

Answer:

Each hat is $5

Each mask is $3

Step-by-step explanation:

Hat= x dollars

Mask= y dollars

Now,

3 hats and 4 mask sold = $27

We can write

3x + 4y = 27

Adding the second equation (-1 times 1st equation) gives us;

3x + 6y = 33

-1* (3x + 4y = 27)

3x + 6y = 33

-3x -4y = 27

2y = 6

y = 6/2

***y = 3***

Now we replace y= 3 into 1st equation and solve for x:

3x + 4y = 27

3x + 4(3) = 27

3x + 12 = 27

3x + 15

x = 15/3

***x= 5***

Each hat costs $5

Each mask costs $3

6 0
3 years ago
Consider two people being randomly selected. (For simplicity, ignore leap years.)
inna [77]

Answer:

(a) = \frac{144}{133225} \\\\(b) = \frac{1}{365}

Step-by-step explanation:

Part (a) the probability that two people have a birthday on the 9th of any month.

Neglecting leap year, there are 365 days in a year.

There are 12 possible 9th in months that make a year calendar.

If two people have birthday on 9th; P(1st person) and P(2nd person).

=\frac{12}{365} X\frac{12}{365}  = \frac{144}{133225}

Part (b) the probability that two people have a birthday on the same day of the same month

P(2 people selected have birthday on the same day of same month) + P(2 people selected not having birthday on  same day of same month) = 1

P(2 people selected not having birthday on  same day of same month):

= \frac{365}{365} X \frac{364}{365} =\frac{364}{365}

P(2 people selected have birthday on the same day of same month) = 1-\frac{364}{365} \\\\= \frac{1}{365}

7 0
3 years ago
1.Find the area of a trapezium with parallel sides of
Nana76 [90]

Answer:

The area of the trapezium is 74.8\ cm^2

Step-by-step explanation:

Area of a trapezium:

\displaystyle A=\frac{b1+b2}{2}h

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

\displaystyle A=\frac{15+7}{2}\cdot 6.8

A=74.8\ cm^2

The area of the trapezium is 74.8\ cm^2

6 0
3 years ago
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