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3 years ago

HELP PLEASE IM IN A TIMED TESTTTT !!!

Mathematics

1 answer:

mixas84 [53]3 years ago

3 0

Answer:

Step-by-step explanation:

2. 9a +4c=43

a+c=7

The total tickets for adults and children = 7 (a+c =7) 7 people in all

price for adult = $9 (9a) Price per child =$4 (4c)

total price =$ 43

9a +7c = 43

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Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x, and the width is

Kipish [7]

We are given

length of rectangular yard is x

so, $L=x$

width of rectangular yard is

so, $W=2x^2-98x+5$

We are given

the length of the enclosed yard is 50 feet

so, we get

$L=x=50$

now, we can plug x=50 and then we can find width

$W=2(50)^2-98(50)+5$

$W=105$

now, we can find total fencing length

so, total fencing length is

$=2L+2W$

now, we can plug values

$=2\times 50+2\times 105$

$=310feet$

now, we are given

the cost of fencing is $13 per foot

so,

total cost = (cost of fencing)*(total fencing length)

we can plug values

$C=13\times 310$

$C=4030$

So, Janice will spend $4030.........Answer

6 0

3 years ago

The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$