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3 years ago

Find the value x ? (2x -10degree) (3x +20degree)

Mathematics

1 answer:

slavikrds [6]3 years ago

8 0

Answer:

If we do square on both sides we get two answers i.e. (x+12)^2=(3x+20)^2

(x^2)+24x+144=(9x^2)+120x+400

(8x^2)+96x+256=0

(x^2)+12x+32=0

(x+4)(x+8)=0

x= -4 or x= -8.

Else we have another method

x+12=3x+20

x+12–20=3x

x-8=3x,

Now square on both sides.

(x-8)^2=(3x)^2

x^2–16x+64=(9x^2)

(9x^2)-(x^2)+16x-64=0

(8x^2)+16x-64=0

(x^2)+2x-8=0

(x+4)(x-2)=0

x= -4 or x= 2.

But It Didn’t Satisfy for The Equation When

x=2 or x= -8,So The Value of x will be -4 which satisfies given question.

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2 years ago

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A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents p

patriot [66]

Answer:

$21.2

Step-by-step explanation:

From the problem given, we express them as algebra so that we can easily solve;

the total charge on a call greater than 120min is given as;

120x + y(n - 120) = total cost of call

where n is the number of minutes which is greater than 120;

Ethan paid $26.80 for 175 mins

n = 175min here;

120x + y(175 - 120) = 26.80

120x + 55y = 26.80 ----- (I)

$32.40 for 210 minutes

n = 210min

120x + y(210 - 120) = 32.4

120x + 90y = 32.4 ----- (II)

Now let us solve both equations for y and x;

120x + 55y = 26.80 ----- (I)

120x + 90y = 32.4 ----- (II)

subtract the two equations;

90y - 55y = 32.4 - 26.8

35y = 5.6

y = $\frac{5.6}{35}$ = 0.16cents

then x;

120x = 26.8 - 55y from equation I

120x = 26.8 - 55(0.16)

120x = 18

x = $\frac{18}{120}$ = 0.15cents

Find the cost of 140min of talk time;

n =140min;

= 120(0.15) + 0.16(140 - 120)

= 18 + 0.16(20)

= 18 + 3.2

= $21.2

4 0

3 years ago

Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengt

alukav5142 [94]

Answer:

Option E.

Step-by-step explanation:

Let the intended length of Rebecca's swimming is = x units

and we assume the length of the pool = l units

Now it is given in the question that " She covers one fifth of her intended distance "

That means distance covered = $\frac{x}{5}$

" After swimming six more lengths of the pool she had covered one quarter of her intended distance"

So $\frac{x}{5}+6(l)=\frac{x}{4}$

$6l=\frac{x}{4}-\frac{x}{5}$

$6l=\frac{x}{20}$

x = 20×(6l)

x = 120l

Therefore, Rebecca has to complete 120 lengths of the pool.

Option E is the answer.

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2 years ago

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MArishka [77]

Answer:

minimum (-9)

Step-by-step explanation:

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3 years ago

78. How can the polynomial, 18x^2 + 30x^6 be factored using the GCF?

dexar [7]

Answer:

6x^2(5x^4 +3)

Step-by-step explanation:

The greatest common factor of 18 = 3·6 and 30 = 5·6 is 6.

The greatest common factor of x^2 and x^6 is x^2.

Factoring 6x^2 from both terms, we get ...

... 18x^2 +30x^6 = 6x^2(3 +5x^4)

_____

<em>Comment on the question</em>

Since this answer is not among the answer choices, I suggest you ask your teacher to demonstrate how this problem is worked.

It appears as though the answers go with the problem 18x^9 +30x^6. Maybe there's a typo somewhere. For that problem, the best choice is the 2nd answer.

6 0

3 years ago

Find the value x ? (2x -10degree) (3x +20degree)​

Find the value x ? (2x -10degree) (3x +20degree)