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baherus [9]
3 years ago
15

Problem of the week, provide step-by-step please!

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer:

Step-by-step explanation:

The smallest perfect square that has three different prime numbers as factor is 900

900 = 30 * 30

Factors = 2² * 3² * 5² = 900

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Solve for x.<br> 2x² +21x-61 = (x+7)²<br><br> Please
Ymorist [56]

Answer:

x = \frac{-7 +\sqrt{489} }{2}

x = \frac{-7 - \sqrt{489} }{2}

Step-by-step explanation:

2x² +21x-61 = (x+7)²

expand

2x² + 21x - 61 = x² + 14x +49

move everything to one side

x² + 7x - 12 = 0

use quadratic formula

x = \frac{-b +- \sqrt{b^{2}-4ac } }{2a}

plug in the values

x = \frac{-7 +- \sqrt{7^{2}-4(1)(-110) } }{2(1)}

solve

x = \frac{-7 +- \sqrt{49-4(1)(-110) } }{2}

x = \frac{-7 +- \sqrt{49 + 440 } }{2}

x = \frac{-7 +- \sqrt{489} }{2}

7 0
2 years ago
Read 2 more answers
F (x) = -4x + 4<br> f(2)=
sp2606 [1]

<em>Substitute x = 2 as we get</em>

<em>f(2) = -4(2)+4 = -8+4 = -4</em>

<em>Therefore, f(2) = -4</em>

7 0
3 years ago
what type of number is -3? A.rational. B. irrational C. whole number D. natural​
Novosadov [1.4K]

Answer:

whole number

Step-by-step explanation:

its not a decimal and its not a fraction

6 0
3 years ago
Are the co ordinates of A 3,4 ?
Lubov Fominskaja [6]

Answer:

A: 2,3

B: -5,1

for ii and iii and b), the easiest way to find the points are by moving on the x-axis(straight across/ horizontal line), then the y-axis(the up to down one). the first point for example (-3,-2), you would move 3 times to the left, and 2 times to the bottom, because if its a negative x, you move left, while if its a positive x, you move right, and if its a negative y, you move down, while a positive y moves you up.

Step-by-step explanation:

I really hope it helps!!!

4 0
3 years ago
Read 2 more answers
Find f(x) if it is known that f(x-2)=2x-4
Nikolay [14]

Answer:

f=2

Step-by-step explanation:

f(x-2)=2x-4

divide x-2 to 2x-4

f=2

f(2-2)=4-4

3 0
3 years ago
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