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Mrac [35]
3 years ago
5

Help me work this out please?

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0
The answer is (-7r-6s)/3s
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Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help
Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

x=y-8 ----> y=x+8 ----> equation A

xy=105 ----> equation B

substitute equation A in equation B

x(x+8)=105

x^2+8x-105=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+8x-105=0

so

a=1\\b=8\\c=-105

substitute in the formula

x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}

x=\frac{-8(+/-)\sqrt{484}} {2}

x=\frac{-8(+/-)22} {2}

x=\frac{-8(+)22} {2}=7

x=\frac{-8(-)22} {2}=-15

Remember that the solution cannot be a negative number

so

The solution is x=7

therefore

Marco's age is 7 years old

4 0
3 years ago
Describe the behavior of the function h around its vertical asymptote at x=-6.
steposvetlana [31]

Answer:

B

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B

7 0
3 years ago
A loan company charged 35 percent interest on every dollar borrowed. If a person borrowed 177 dollars, how much would they end u
pav-90 [236]
We know that 35 percent interest is applied on every dollar borrowed.
thus, for 1 dollor borrowed. the interest would be 0.35 dollar.
for 177 dollars, the interest would be 0.35*177.
plus the original 177 dollar, they would end up paying 177+0.35*177=238.95.
8 0
3 years ago
if area of a circle varies directly as the cube of the radius, when the area is 625cm the radius is 5cm. calculate the area of a
Maksim231197 [3]

Answer:

as the above condition....

5×5×5=625

same,, applying for 8 cm

8×8×8=512cm..

8 0
3 years ago
First step for solving x²+2x-11=4
fenix001 [56]

Answer:

subtract 4 on both side.

5 0
3 years ago
Read 2 more answers
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