MATHEMATICS HIGH SCHOOL

UnlimitedFactor by grouping (sometimes called the ac-method).
4x² + 3x - 10
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
o
Ax? +
1 x + x - 10
Х
$
4x
+
x - l * - 10
4x?
[ x + x - 10
4x?
x - 10
Factorization:

Answers

Answer 1

Answer:

Answer:

(4x - 5)(x + 2).

Step-by-step explanation:

4x^2 + 3x - 10

4 * 10 = -40

We need 2 numbers whose product is -40 and whose sum is +3.

Theses are = - 5 and + 8.

So we write:

4x^2 + 8x + -5x - 10

= 4x(x + 2) - 5(x + 2)

= (4x - 5)(x + 2).

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What is the solution to the following system of equations?y = -x2 - 5x - 4
y = -x2 + 9x - 18 (2 points)

(-1, -10)
(1, -10)
(-1, 10)
(1, 10)

Answers

The answer is (1,-10)

You solve this by equating the two equations:
-x2 -5x -4 = -x2 +9x -18
-14x = -14
x =1

You then substitute 1 to either of the equations to find y:
y = -(1)2 -5(1) -4
y = -10

Therefore, the solution is (1,-10)

Answer:

It's B

Step-by-step explanation:

Stickers are sold in packages of 15 sheets. If there are 20 students in the class, how many packages of stickers should the teacher buy so that every student gets the same amount of sheets, with none left over?3 packages
4 packages
6 packages
10 packages

Answers

Answer:

4 packages

Step-by-step explanation:

I chose 6 and got it wronge then the teacher said its 4 packages

Hope this helps :)

6 packages.

25 (15 + 15) + 25 (15 + 15) = 40, and there are 20 students

Simpify this expresion 7+5h+2h+7h2–2h2

Answers

Answer:

$5h^2 + 7h + 7$

Step-by-step explanation:

We can simplify this expression by combining like terms.

To combine like terms, we are looking for terms that share the same variable and exponent.

First, we can see that the terms $7h^2$ and $-2h^2$ share the same variable (h) and the same exponent (2).

$7 - 2 = 5$

This simplifies to $5h^2$ .

Next, we can see that $5h$ and $2h$ share the same variable (h) and the same exponent (1) so we can add these.

$5+2=7$

This simplifies to $7h$ .

Lastly, we can see that we just have 7, no more terms with the same variable (none). So this is 7.

Adding up all the terms in standard form ( $ax^2 + bx + c$ ), we get $5h^2 + 7h + 7$ .

Hope this helped!

Can you please help me? It’s timed!!

Answers

Answer:

$0.75$ (D)

Step-by-step explanation:

tanA = $(6)/(8)$

tanA = $0.75$

The answer is D hope this helps

Find the highest common factor (HCF) of 12x^12 and 16x^16

Answers

Answer:

Step-by-step explanation:

To find the highest common factor (HCF) of 12x^12 and 16x^16, we need to factor both expressions.

12x^12 = 2^2 * 3 * (x^2)^6

16x^16 = 2^4 * (x^2)^8

The common factors of 12x^12 and 16x^16 are 2^2 and (x^2)^6. To find the HCF, we take the product of these common factors:

HCF = 2^2 * (x^2)^6 = 4x^12

Therefore, the highest common factor (HCF) of 12x^12 and 16x^16 is 4x^12.

Final answer:

To find the HCF of 12x^12 and 16x^16, break down the terms into prime factors and take the lowest exponent for each common prime factor.

Explanation:

To find the highest common factor (HCF) of 12x^12 and 16x^16, we need to determine the largest number or expression that divides both 12x^12 and 16x^16 without leaving a remainder.

First, let's break down the terms into their prime factors:
12x^12 = 2^2 * 3 * (x)^12
16x^16 = 2^4 * (x)^16

Next, compare the prime factors and take the lowest exponent for each prime factor. In this case, the common factors are 2^2 and (x)^12. Multiplying these together gives us the HCF: 4x^12.

Learn more about HCF here:

brainly.com/question/29114178

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A shipping container is in the shape of a right rectangular prism with a length of 2 feet, a width of 14.5 feet, and a height of 14 feet. The container is completely filled with contents that weigh, on average, 0.9 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?