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andrew11 [14]
3 years ago
12

What is the prime factorization of 400

Mathematics
1 answer:
Shkiper50 [21]3 years ago
8 0

400= 80×5. Bold=prime

/\

4 × 20

/\ /\

2×2 4×5

/\

2×2

2×2×2×2×5×5 is the prime factorization of 400.

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PLEASE HELP URGENT!!!!
Dovator [93]

Answer:

£ 21552.13

Step-by-step explanation:

P= £18790

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t = 3 years

I = Prt

I = 18790 * 0.049 * 3

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After 3 years , the amount in Dan's account = 18790 + 2762.13

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7 0
3 years ago
How does 2 relate to 3
erik [133]

Answer:

The number that was added to the previous number is doubled.

For example:

2+1 = 3

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4 0
2 years ago
Use the function f(x) = 4x2 − 7x − 15 to answer the questions. Part A: Completely factor f(x). (2 points) Part B: What are the x
makkiz [27]

Answer:

Part A: f(x) = 4·x² - 7·x-15 = (x - 3)·(4·x + 5)

Part B: The x-intercepts are x = 3 and -1.25 #

Part C: As x approaches ∞, y approaches ∞, as x approaches -∞, y approaches ∞

Part D: The graph is a u-shaped quadratic equation graph  passing though the x-intercept points -1.25 and 3 on the x-axis and the y-intercept point -15 on the y-axis. Both sides of the symmetrical graph curve extending to infinity

Step-by-step explanation:

The function 4·x² - 7·x-15

To factorize the expression, we have at the 0 factors;

x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}

Where;

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x = \dfrac{-(-7)\pm \sqrt{(-7)^{2}-4\times 4\times (-15)}}{2\times 4} =  \dfrac{7\pm 17}{8}  = 3 \ or -1.25

Which gives;

(x - 3)·(x + 1.25) = (x - 3)·(4·x + 5)

f(x) = 4·x² - 7·x-15 = (x - 3)·(4·x + 5)

Part B: The x-intercepts are the point where y = 0, which are x = 3 and -1.25 as shown above

Part C: As x approaches ∞, y approaches ∞, as x approaches -∞, y approaches ∞

Part D: With the the nature of the function as y approaches ∞ and -∞ the graph is a u-shaped graph of a quadratic equation passing though the points -1.25 and 3 on the x-axis and the point -15 on the y-axis.

6 0
3 years ago
Please please help me out with this!!!!
Bess [88]

Answer:

y = - 6x

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x = 1 → y = - 6

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By inspection the y points are x multiplied by - 6, hence

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7 0
3 years ago
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7 0
4 years ago
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