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3 years ago

Factorise 7a + 14b + ax + 2bx

Mathematics

2 answers:

Ann [662]3 years ago

3 0

Answer:

Step-by-step explanation:

7(a + 2b) + x(a + 2b)

(7 + x)(a + 2b)

GaryK [48]3 years ago

3 0

Answer:

(7 + x)(a + 2b) This is most simplified it can be

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Nostrana [21]

Answer:

Answer is 0.65

Step-by-step explanation:

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3 years ago

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Match the range of the function f(x) = x2 + 2x − 1 to its domain.

Kamila [148]

F(x) = x² + 2x - 1

f(2) = 2² + 2 · 2 - 1 = 4 + 4 - 1 = 7
f(-2) = (-2)² + 2 · (-2) - 1 = 4 - 4 - 1 = -1
f(3) = 3² + 2 · 3 - 1 = 9 + 6 - 1 = 14
f(-3) = (-3)² + 2 · (-3) - 1 = 9 - 6 - 1 = 2

The range = {-1; 2; 7; 14}

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3 years ago

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Y=x blue point of a number line

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3 years ago

A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate

yulyashka [42]

Answer:

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

$\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}$

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

$C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)$

$C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)$

At C'(x) = 0

$\dfrac{12500}{x^2} = 20$

$\dfrac{12500}{20} = x^2$

$x^2= 625$

$x = \sqrt{625}$

x = 25

$C'' (x) = -12500 \times \dfrac{-2}{x^3} +0$

$C'' (x) = \dfrac{25000}{x^3}$

where; x = 25

$C'' (x) = \dfrac{25000}{25^3}$

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

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3 years ago

Please help asap!!!<br> much appreciated

ioda

Answer:

I cannot give you a full answer because it's missing crucial information- the points on the graph. However, I can give you insight!

Suppose one point is (2,3), if you want to scale it by a factor of 3, you would simply multiply both variables by 3. So the new point would be (6,9).

If you want to scale (4,7) by factor of 2, you would multiply the 4 and the 7 with 2. The new point would be (8,14).

3 0

3 years ago

Factorise 7a + 14b + ax + 2bx​

Factorise 7a + 14b + ax + 2bx