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2 years ago

Factorise x2 + 5x - 24

Mathematics

1 answer:

ELEN [110]2 years ago

6 0

Answer:

(x+8)(x-3)

Step-by-step explanation:

x2+5x-24

product 1 ×-24= -24

sum -3 and 8
(x2 -3x )(+ 8x -24)
x(x-3) +8(x-3)
(x+8)(x-3)

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Is 3/4 greater or less than 9/12

Arisa [49]

$3/4 = 9/12$ because you can reduce $9/12$ to $3/4$

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3 years ago

Evaluate each using the values given. 7) 3 - x + x + y; use x = 4, and y=-1

kkurt [141]

Answer:

Step-by-step explanation:

3-4+4+(-1) (-4+4=0)

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3 years ago

1) A line with gradient 2 passes through (0, 4). Write down the equation of the line.

blondinia [14]

For the attached image, note that slope is the same thing as gradient.

1) y = 2x + 4

2) Substituting in x = 1 and y = 1,

1 = 4(1) + c

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2 years ago

What is the answer to 8x^3+125 by factoring the perfect cube?

expeople1 [14]

Answer:

$\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}$

Step-by-step explanation:

$8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)$

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3 years ago

What are the first three terms of the sequence modeled by the recursive function an=1/2an-1 when a1=1?

loris [4]

Answer:

Option A is correct that is $1,\frac{1}{2},\frac{1}{4}$

Step-by-step explanation:

We have been given a formula $a_n=\frac{1}{2}\cdot a_n-1$

$a_1=1$

We will put values of n in $a_n=\frac{1}{2}\cdot a_n-1$

when n=2 we get

$a_2=\frac{1}{2}\cdot a_2-1$

$\Rightarrow a_2=\frac{1}{2}\cdot a_1$

$\Rightarrow a_2=\frac{1}{2}\cdot 1$

$\Rightarrow a_2=\frac{1}{2}$

when n=3

$a_3=\frac{1}{2}\cdot a_2$

$\Rightarrow a_3=\frac{1}{2}\cdot \frac{1}{2}$

$\Rightarrow a_3=\frac{1}{4}$

Therefore, Option A is correct that is $1,\frac{1}{2},\frac{1}{4}$

6 0

3 years ago

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