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2 years ago

6

Learning Task 1: Write and answer the following in your answer sheet

1 answer:

Marina CMI [18]2 years ago

4 0

Answer:

Evaluating Polynomials:

a. f(1) = -10

b. f(-3) = -239

c. f(2)² = 3125

Factoring Polynomials:

a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)

b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)

c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)

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Jacob is ordering custom T-shirts for his soccer team. Long-sleeved shirts cost $15 each and short-sleeved shirts cost $10 each.

Over [174]

Below are I assume the choices, it can be found elsewhere:

A. 15x+10y≥250

B. x+y≤250

C. x+y≥20

D. 15x+10y≥20

E. x+y≤20

<span>F. 15x+10y≤250
</span>
The inequalities that represent constraints for this situation is 15x+10y<=250 and <span>x+y>20. Thank you for posting your question here. I hope the answer helps. </span>

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2 years ago

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Plz help me im trying to defeat a boss

Wittaler [7]

Answer:

15200

Step-by-step explanation:

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2 years ago

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A number cube with faces labeled from 1 to 6 will be rolled once.

tresset_1 [31]

Question:

A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.

Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling a number greater than 2.

If there is more than one element in the set, separate them with commas.

Answer:

$S = \{1,2,3,4,5,6\}$

$Greater2 = \{3,4,5,6\}$

Step-by-step explanation:

Given

A roll of a 6 sided number cube

Solving (a): The sample space

This implies that we list out all number on the number cube.

So:

$S = \{1,2,3,4,5,6\}$

Solving (b): Outcomes greater than 2

This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.

So:

$Greater2 = \{3,4,5,6\}$

3 0

2 years ago

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.

stepan [7]

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the distance formula, we get

$AB=\sqrt{(5-(-3))^2+(8-2)^2}$

$AB=\sqrt{(8)^2+(6)^2}$

$AB=\sqrt{64+36}$

$AB=\sqrt{100}$

$AB=10$

Similarly,

$BC=\sqrt{(11-5)^2+(0-8)^2}$

$BC=\sqrt{(6)^2+(8)^2}$

$BC=\sqrt{36+64}$

$BC=\sqrt{100}$

$BC=10$

And,

$AC=\sqrt{(11-(-3))^2+(0-2)^2}$

$AC=\sqrt{(14)^2+(-2)^2}$

$AC=\sqrt{196+4}$

$AC=\sqrt{200}$

$AC=10\sqrt{2}$

Two sides of the triangle are equal, i.e., $AB=BC$ . So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

$AB^2+BC^2=10^2+10^2$

$AB^2+BC^2=100+100$

$AB^2+BC^2=200$

$AB^2+BC^2=AC^2$

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

7 0

2 years ago

If the sum of the legs of a right triangle is 49cm and the hypotenuse is 41cm find the length of the two legs... without using g

inn [45]

Answer:

I think 42

Step-by-step explanation:

7 0

2 years ago