Pls someone help me with this question i provided a picture below

Answers

Answer 1

Answer: Answer: (x-8)(x+9)

To rewrite the expression in the form (x+a)(x+b), you must factor the expression. First split the equation into two sides. Since 9 times 8 equals 72, we want to figure out how they add to equal 1 (which is the x).
If 9 times -8 equals -72, this works. -8 + 9 = 1. This translates to -8x + 9x = x. This is how we split it.

x^2 - 8x + 9x - 72
(x^2 - 8x) + (9x - 72)
Since x^2 and -8x both share x, factor out x from the parentheses. And since 9x and -72 are both divisible by 9, factor out 9.
x(x - 8) + 9(x - 8)

We can now factor out the common term, x-8. Then the x and 9 outside the parentheses will be combined.
(x-8)(x+9).
This is our answer

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When the coordinates (1,1), (2,3),(5,3) and (4,1) are joined which shape is formed?

Answers

Parallelogram because not all sides are equal.

a cylindrical tank has a radius of 15 ft. and a height of 45ft. how many cubic feet of water can the tank hold?

Answers

Try pi times 30 times 45, si. nce diameter is radius x2. 3.14 x 30 x 45 = answer.

Factor the GCF: −6x3y + 9x2y2 − 12xy33xy(−2x2 + 3xy − 4y2)

−3xy(2x2 + 3xy − 4y2)

−3xy(2x2 − 3xy + 4y2)

−3(2x3y − 3x2y2 + 4xy3

Answers

Answer:

Option C is the answer.

Step-by-step explanation:

We have to factor the GCF of the given expression:

-6x³y + 9x²y² - 12xy³

To get the GCF of the given expression we will find the factors of each term first.

Factors of 6x³y = 2 × 3 × (x) × (x) (x) (y)

Factors of 9x²y² = 3 × 3 × (x) (x) (y) (y)

Factors of 12xy³ = 2 × 2 × 3 × (x) (y) (y) (y)

So the common factor is 3 × (x) (y)

Now we will take out the GCF as a factor of the given expression = 3xy (-2x² + 3xy - 4y² )

= -3xy ( 2x² - 3xy + 4y² )

Option C is the answer.

-6x^3y + 9x^2y^2 - 12xy^3
-3xy(2x^2) - 3xy(-3xy) - 3xy(4y^2)
-3xy(2x^2 - 3xy + 4y^2)

The answer is C.

There are 37 cans of pineapple on each shelf at food mart if there are 7 shelves of pineapple estimate the number of cans pineapple at food mart by rounding the number of cans on a shelf yo the nearest ten

Answers

Answer:

260

Step-by-step explanation:

7 shelves containing 37 cans of pineapples each would give you 259 cans of pineapple. Then, round to the nearest ten would give you 260.

Determine if triangle XYZ with coordinates X(1, 1), Y(5, 6), and Z(6, 2) is a right triangle.

Answers

Answer:

Yes.

Step-by-step explanation:

If you graph it you can see that they all the points match up to the perfect right triangle. You may have to rotate it to see it though. Point Z is the angle of the triangle that is the corner of the 90 degree triangle.

The value of Jennifer's stock portfolio (in dollars) is given by the function f(t) = -3t +72t + 5000, where t is the time in months since she opened the account. After how many months will her portfolio be at a maximum? What is the maximum value of the portfolio?

Answers

Answer:

a) The portfolio will be at maximum after 12 months (1 year)

b) The maximum value of the portfolio is $5432

Step-by-step explanation:

The function that models Jennifer's stock portfolio (in dollars) is $f(t)=-3t^2+72t+5000$ , where t is the time in months since she opened the account.