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3 years ago

4. In Ghana the high temperatures in degrees Fahrenheit for five days in January were -14°

Mathematics

1 answer:

S_A_V [24]3 years ago

5 0

Answer:

Step-by-step explanation:

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

For the function f(x) = - 3x + 7 f(- 8) = _<br> f(-8) = (Simplify your answer)

kodGreya [7K]

31

just substitute -8 for all x

process here:

f(x) = -3x + 7
f(-8)= -3(-8) + 7

3 0

3 years ago

A line includes the points (7,4) and (8,6). What is it’s equation in slope- intercept form?

coldgirl [10]

Answer:

Step-by-step explanation:

First you have to find the slope

M= y2-y1/ x2-x1.

6-4 / 8-7 = 2/1 or 2

Then you pick one set of coordinates and plug the information into the formula. It doesn't matter which set you use as long as you plug the information in correctly.

I will choose (6,4)

Slope intercept formula is y-y1 =m(x-x1)

Y-4=2(x-6)

Then you simplify.

Y-4=2x-12

+4. +4

Y=2x-8 is your solution.

3 0

3 years ago

8y +9 > 41 please help im on a staar test.

hammer [34]

Answer:

y>4

Step-by-step explanation:

8y+9>41

subtract 9

8y>32

divide by 8

y>4

6 0

3 years ago

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It snowed 72 cm in 24 hours

zimovet [89]

Answer:

Step-by-step explanation:

5 0

3 years ago

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