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Maurinko [17]
3 years ago
14

Determine the resulting polynomial:

Mathematics
1 answer:
diamong [38]3 years ago
3 0

Answer:

24x^3-19x^2-62x+45

Step-by-step explanation:

f(x)=-3x+5

g(x)=-8x^2-7x+9

f(x)*g(x)=(-3x+5)(-8x^2-7x+9)

=(-3x)(-8x^2)+(-3x)(-7x)+(-3x)(9)+(5)(-8x^2)+(5)(-7x)+(5)(9)

=24x^3+21x^2-27x-40x^2-35x+45

=24x^3-19x^2-62x+45

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How many liters of a 10% antifreeze solution and a 40% antifreeze solution must be mixed to make 15 liters of a 25% solution? Ro
butalik [34]

Answer:

7.5 liters of a 10% antifreeze solution AND

7.5 liters of a 40% antifreeze solution

Step-by-step explanation:

According to the question,we were asked to find out how many liters of 10% anti freeze solution and 40% anti freeze each to make a 15 liters 25% mixture

Let’s call

the amount of liters needed of our 10% solution “x”. So, how

many liters do we need of the 40% solution? Well, there are 15

liters in total, x liters have been spoken for, so what remains

of our allotted 10 liters then, is 15-x.

Now let's solve for "x"

10% of x + 40% of (15 - x) = 25% of 15 liters

0.1x + 0.4(15 - x) = 0.25(15)

0.1x + 6 - 0.4x = 3.75

Collect the like terms and we have

0.3x = 2.25

x = 2.25 × 3

X = 7.5(Liters for the 10% anti freeze solution)

The 40% solution= 15 - 7.5 = 7.5 liters

Since "X" was used to fill for the unknown amount of 10% anti freeze solution,we have 7.5 liters of the 10% solution and another 7.5 liters for the 40% solution to end up with 15 liters of the desired 25% solution.

8 0
3 years ago
It takes Claudia 1/4 of an hour to make a pizza. Claudia has 4 hours to make pizzas. How many pizzas can Claudia make during thi
juin [17]

Answer:

16

Step-by-step explanation:

divide 4 by .25 (or 1/4) and you get 16

7 0
3 years ago
Which statement is true about point F? a.F is the midpoint of AA' because bisects AA'. b.F is the midpoint of EG because AA' bis
Dimas [21]

Answer:

The correct option is;

a. F is the midpoint of \overline{AA'} because line \overline{EG} bisects \overline{AA'}

Step-by-step explanation:

Here, since we have that the triangle is reflected across EG therefore the location of the point F which is along EG bisects the line \overline{AA'} as the  dimensions of the line from A to F must be equal to the dimension of the line that extends from A' to F

Therefore the point F is the midpoint of \overline{AA'} because line \overline{EG} bisects \overline{AA'}.

7 0
3 years ago
Find the distance between the points (-5, -10) and (2, 4).
Novay_Z [31]
Ok, so I used the equation Y2 (4) - Y1 (-10) over X2 (2) -X1 (-5).
4 - -10 is 14 since if a minus sign is before a negative number, it becomes positive.
Same goes for 2 - -5. It is 7 since the minus sign is before the negative number. Final answer is 14/7 which can be simpflied to 2/1 since 14 divided by 7 =2. So the distance is 14\7, or 2\1.
3 0
3 years ago
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What s the length of the arc for the half circle
Andrej [43]

Answer`Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

Hope that help, at least a bit.

3 0
3 years ago
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