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Liula [17]
3 years ago
12

Let f(x) = 5x3 + 3x2 – 3 and g(x) = x2 + X - 5, fin 4) f(x) + g(x)

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

f(x)+g(x)=5x^{3} +4x^{2}+x-8

Step-by-step explanation:

Given:

Two functions are given:

f(x)=5x^{3} +3x^{2} -3

g(x)=x^{2} +x-5

Find f(x)+g(x)

Solution:

f(x)+g(x)=(5x^{3} +3x^{2} -3)+(x^{2} +x-5)

f(x)+g(x)=5x^{3} +3x^{2} -3+x^{2} +x-5

f(x)+g(x)=5x^{3} +(3x^{2} +x^{2})+x-3-5

f(x)+g(x)=5x^{3} +4x^{2}+x-8

Therefore, the function of f(x)+g(x)=5x^{3} +4x^{2}+x-8

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Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some o
noname [10]

Answer: He should invest $44000 in fund A and $11000 in fund B.

Step-by-step explanation:

Let x represent the amount which he invested in fund A.

Let y represent the amount which he invested in fund B.

Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some of the money into Fund A that earns 2% per year and the rest in Fund B that earns 10% per year.. This means that

x + y = 55000

The formula for determining simple interest is expressed as

I = PRT/100

Considering fund A,

P = $x

T = 1 year

R = 2℅

I = (x × 2 × 1)/100 = 0.02x

Considering fund B,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

The interest that he wants to earn on the total amount in a year is 3.6%. The interest would be

I = (55000 × 3.6 × 1)/100 = 1980

Therefore,

0.02x + 0.1y = 1980 - - - - - - - - - -1

Substituting x = 55000 - y into equation 1, it becomes

0.02(55000 - y) + 0.1y = 1980

1100 - 0.02y + 0.1y = 1980

- 0.02y + 0.1y = 1980 - 1100

0.08y = 880

y = 880/0.08

y = 11000

x = 55000 - y = 55000 - 11000

x = 44000

4 0
3 years ago
An icecube is made of 5 fluid ounces of water. About how many millilters of water does it take to make to the icecube. Round my
Dafna11 [192]

It takes 147.87 milliliter to make ice cube

<em><u>Solution:</u></em>

Given that ice cube is made of 5 fluid ounces of water

To find: milliliters of water to make to the ice cube

So we have to convert 5 ounce to milliliter

<em><u>Use the following conversion factor</u></em>

1 ounce = 29.5735 milliliter

Therefore,

5 ounce = 5 x 29.5735 milliliter

5 ounce = 147.8675 milliliter

On rounding to nearest hundred ( 2 decimal places ) , we get

5 ounce = 147.87 milliliter

Thus it takes 147.87 milliliter to make ice cube

5 0
3 years ago
4. Six numbers are shown.
Reptile [31]

Step-by-step explanation:

sorry i couldn't solve the last and the last second one

Was it helpful?

comment down

If there is any kind of suspicious mistake

then sorry

7 0
3 years ago
Can someone please help me?
docker41 [41]
THe answer is A.... 42.4 times 10.5 is 445.20
4 0
3 years ago
Read 2 more answers
Find the equivalent expression
konstantin123 [22]
The answer is 6(2a+b)
7 0
3 years ago
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