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2 years ago

What is the factor form of the polynomial X2-12+27

Mathematics

1 answer:

Oksanka [162]2 years ago

7 0

Answer:

(x-9) (x-3)

Step-by-step explanation:

x^2 -12x +27

What 2 numbers multiply to 27 and add to -12

-9* -3 = 27

-9-3 = -12

(x-9) (x-3)

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Evaluate:

wlad13 [49]

Answer is f(-2) = -10

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2 years ago

The sum of 5x and 2xis at least 14 as a inequality

vesna_86 [32]

Answer:

The sum of 5x and 2xis at least 14 as an inequality is: 5x +2x < 14

The product of x and y is less than 4 as an inequality is: x * y < 4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the perimeter of quadrilateral PQRS with the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3).

storchak [24]

Answer:

$P=16.53\ units$

Step-by-step explanation:

we know that

The perimeter of quadrilateral PQRS is equal to the sum of its four length sides

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3)

step 1

Find the distance PQ

P(2,4), Q(2,3)

substitute in the formula

$d=\sqrt{(3-4)^{2}+(2-2)^{2}}$

$d=\sqrt{(-1)^{2}+(0)^{2}}$

$d=\sqrt{1}$

$dPQ=1\ unit$

step 2

Find the distance QR

Q(2,3), R(-2,-2)

substitute in the formula

$d=\sqrt{(-2-3)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-5)^{2}+(-4)^{2}}$

$dQR=\sqrt{41}\ units$

step 3

Find the distance RS

R(-2,-2), and S(-2,3)

substitute in the formula

$d=\sqrt{(3+2)^{2}+(-2+2)^{2}}$

$d=\sqrt{(5)^{2}+(0)^{2}}$

$dRS=5\ units$

step 4

Find the distance PS

P(2,4), S(-2,3)

substitute in the formula

$d=\sqrt{(3-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-1)^{2}+(-4)^{2}}$

$dPS=\sqrt{17}\ units$

step 5

Find the perimeter

$P=PQ+QR+RS+PS$

substitute the values

$P=1+\sqrt{41}+5+\sqrt{17}$

$P=6+\sqrt{41}+\sqrt{17}$

$P=16.53\ units$

5 0

3 years ago

√4/4

Lady_Fox [76]

Answer:

D. $\frac{4}{16}^{1/2}$

Step-by-step explanation:

$\frac{\sqrt{4} }{4} = 0.5$

and

$\frac{4}{16}^{1/2}$ =0.5

3 0

3 years ago

Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.

Dahasolnce [82]

Note: you may have unintentionally missed to add the complete question. Therefore, after a little research, I am able to find the complete question which I am attaching to solve your query, which anyways would clear your concept.

The complete Question:

Keenan gives Tisha half of his strawberries. Tisha keeps 4 of the strawberries she got from Keenan and gives the rest to Suvi.

a) Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.

b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.

Answer:

Part a)

An expression for the number of strawberries Tisha gives to Suvi will be: $n=\frac{k}{2} -4$

Part b)

Keenan could not have started with 6 strawberries

Step-by-step explanation:

Part a) Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.

Let $k$ be the total number of strawberries which Keenan has.

So,

$\frac{k}{2}$ is the number of strawberries Keenan gave to Tisha.

As Tisha keeps 4 strawberries and gives the rest to Suvi. Let $n$ be the number of strawberries which Suvi has.

So,

$n=\frac{k}{2} -4$

$\frac{k}{2}=n+4$

$k=2n+8$

Therefore, an expression for the number of strawberries Tisha gives to Suvi will be: $n=\frac{k}{2} -4$

b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.

Considering the expression for the number of strawberries Tisha gives to Suvi

$n=\frac{k}{2} -4$

Putting $k = 6$ in the expression

$n=\frac{6}{2} -4$

Solving the expression

$n=3-4$ ∵ $\mathrm{Divide\:the\:numbers:}\:\frac{6}{2}=3$

$\mathrm{Subtract\:the\:numbers:}\:3-4=-1$

$n=-1$

So, Keenan would have started with 6 strawberries, then Suvi would have -1 strawberries. Since, strawberries cannot be negative as Suvi cannot have negative number of strawberries.

Therefore, Keenan could not have started with 6 strawberries.

Keywords: word problem, expression

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3 0

3 years ago