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3 years ago

I need help once again.

Mathematics

1 answer:

muminat3 years ago

8 0

The dimensions of the prism can be 2x, 2x+3 and x+6.

We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.

Factoring out the 2x, we have
2x(2x²+15x+18).

To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:

2x(2x²+12x+3x+18)

Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))

Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))

Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))

Factoring out what these have in common,
2x(x+6)(2x+3)

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B) John returns from holiday with these notes.

ivolga24 [154]

Answer:

£290.70

Step-by-step explanation:

Number of notes of $50 = 5

Total value = 50 × 5 = $250

Number of notes of $20 = 2

Total value = 20 × 2 = $40

Number of notes of $10 = 7

Total value = 10 × 7 = $70

Number of notes of $5 = 3

Total value = 5 × 3 = $15

Total value of all notes with John = 250 + 40 + 70 + 15

= $375

Since, $1.29 = £1

Therefore, $1 = £ $\frac{1}{1.29}$

Therefore, $375 = £ $\frac{375}{1.29}$

= £290.70

4 0

3 years ago

Please help!! Will get brainliest! Zoom if can’t see. Correct answer only!!

8090 [49]

Domain = Set of all real numbers, which is choice B
Range = Choice C) $y \le 3$

The domain is the set of allowed x value inputs of a function. In this case, we can plug in any x value we want. The graph stretches forever in both directions along the x axis. This is shown by the arrows.So that's why the domain is the set of all real numbers.

The range is the set of outputs of a function. It is the set of possible y values. As you can see on the graph, the highest point is at (-1,3) which is the vertex.
The largest y value possible is y = 3. Any other y value smaller than this is possible. So the range is therefore $y \le 3$ where y is a real number

7 0

3 years ago

The weekly salary check for Miss Blue is $478. Her employer contributes 6.5% to a retirement annuity.

velikii [3]

31.07hopes this helps

8 0

3 years ago

Would anyone please be able to help me??

Svetllana [295]

Answer:

Area of first shape = 97cm^2

Area of second shape = 506cm^2

Area of third shape =143 cm^2

First shape :

i. Area if rectangle in the fig. = l*b

= 12*4

= 48 cm^2

Now, in the same fig. we construct a line and make it a square,

ii. Area of square = s*s

= 7*7

= 49 cm^2

Area of whole shape = 48cm^2 + 49cm^2

= 97 cm^2

Second Shape :

i. Area of the rectangular shape(above one)

= l*b

= 29*14

= 406 cm^2

ii. Area of the rectangle (stick like shape)

= l*b

= 20*(29-24)

= 20*5

= 100 cm^2

Area of whole shape = (100 + 406) cm^2

= 506 cm^2

Third shape :

i. Area of the triangle = 1/2 *b* h

= 1/2 * 13 * 6

= 39 cm^2

ii. Area of the square = s*s

= 13*8

= 104 cm^2

Area of whole shape = (104 + 39) cm^2

= 143 cm^2

Hope it helps!

4 0

3 years ago

Read 2 more answers

HELP!!! BRAINLIEST :)

Xelga [282]

Answer:

The third one....

it fulfill all required characteristics of lines given.

6 0

3 years ago