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3 years ago

Can someone help me with this question?

Mathematics

2 answers:

mihalych1998 [28]3 years ago

3 0

Answer:c

Step-by-step explanation:

Crank3 years ago

3 0

C is the correct answer for this question

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Factorise a.x3+4.a.x

Contact [7]

Answer:

${ax}^{3} + 4ax \\$

factorise out a and x :

${ \boxed{answer{= ax( {x}^{2} + 4) }}}\\ but \: farther \: more : \\ = ax( {x}^{2} + {2}^{2} )$

but from general factorization:

${ \boxed{( {a}^{2} + {b}^{2}) = {(a + b)}^{2} - 2ab }}$

a » x

b » 2

therefore:

$= ax \{ {(x + 2)}^{2} - 2(x)(2) \} \\ \\ = { \boxed{ \boxed{ax( {x + 2)}^{2} - 4x }}}$

4 0

3 years ago

Which number is equivalent to the improper fraction 35/4

bulgar [2K]

Step-by-step explanation:

If you want to make the improper fraction into a mixed fraction/decimal;

35/4 = 32/4 + 3/4 = 8 3/4 = 8.75.

8 0

3 years ago

Read 2 more answers

Identify the x-intercepts of the function below f(x)=x^2+12x+24

damaskus [11]

<u>ANSWER: </u>

x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

<u>SOLUTION:</u>

Given, $f(x)=x^{2}+12 x+24$ -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

$X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here, for (1) a = 1, b= 12 and c = 24

$X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}$

$\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}$

Hence the x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

8 0

3 years ago

The perimeter of a rectangle is 150cm. The length is 15cm greater than the width. Find the dimensions

ANEK [815]

150/4 = 37.5cm. You divide by four because there are four sides on a rectangle. But 37.5 is the cm of a square. Since it says one of the sides is 15cm greater, you subtract 37.5 - 15 = 27.5cm on 2 of the width. While the other 2 lengths are greater than the width by 15 cm, so you add 15 to 37.5 which gives you 52.5cm. So the 2 width are 27.5cm and the length is 52.5cm.

7 0

3 years ago

A packet contains 24 pens. Henry and Alice share them in the ratio 3:5. How many does Alice receive

vova2212 [387]

Alice receives 9 out of the 24 pens.

7 0

3 years ago