Find the least number which when increased by 15 is exactly divisible by 15, 35and 48.

Answers

Answer 1

Answer: lmc(15,35,48) is

15,35,48 | 2
15,35,24 | 2
15,35,12 | 2
15,35, 6 | 2
15,35, 3 | 3
5,35, 1 | 5
1, 7, 1 | 7
1, 7, 1 lcm(15,35,48) = 1680

So found number is 1680 - 15 = 1665

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If x + 3 is a multiple of 3, which of thefollowing is not a multiple of 3?
(A) x
(B) x + 6
(C) 6x + 18
(D) 2x + 6
(E) 3x + 5

Answers

The answer is E because if x+3=0 then x=-1 which is the multiple of 3x-1
1)x
we have x so its -3
2)x+6
-3+6=3 its a multiple of 3 (3x1)
3)6x+18
6(-3)+18
0 is a multiple of 3 (3x0)
4)2x+6
2(-3)+6
0 is a multiple of 3
5)3x+5
3(-3)+5
-1 is not a multiple of 3

Answer:

If integer m is not a multiple of 3, which of the following must be true? ... of 2 let m=3K+2, (m+1)(m-1) = (3K+3)X(3K+1) is a not a multiple of 2

Step-by-step explanation:

m=4 or 5 satisfies the equation (m+1)(m-1) is a multiple of 3. Hence true.

m=4, (m+1)(m-1) = (4+1)(4-1)=15, not multiple of 2.

For the coordinates of P and M (the midpoint) are given. Find the coordinates for Q.P(3, 11) and M (0, 0)

Answers

Given an endpoint of a segment and a midpoint, the other endpoint can be obtained by manipulation of the midpoint formula. The said formula is shown below:

Let: (a,b) = coordinates of point 1 ; (c,d) = coordinates of point 2; (e,f) = coordinates of the midpoint

Midpoint = ( (a+c)/2 , (b + d)/2 )

From the formula: (a+c)/2 = e ; (b + d)/2 = f

Since we are already given an endpoint and the midpoint, we can solve for the other endpoint using the obtained equations. This is shown below:

(a+c)/2 = e
(3 + c)/2 = 0
c = -3

(b + d)/2 = f
(11 + d)/2 = 0
d = -11

Therefore, the coordinates of the other point is Q(-3,-11)

The sum of 6 consecutive even numbers is 126.what is the fourth number in this sequence

Answers

This can be put into a formula like so:

Since they are 6 consecutive even numbers, they will alternate odd/even/odd/even.

x, x+2, x+4, x+6, x+8, x+10 = 126

Simplify

6x + 30 = 126

6x = 96

x = 16

And you want the fourth number, so plug the x value back into the equation of 'x+6' and you will get 16+6 which = 22.

Answer:

Step-by-step explanation:

x+x+2+x+4+x+6+x+10

126

x=16

16+6=22

A function f (x)=-8x^2. What is f (-3)?

Answers

f(x) = -8x²

To find the value of f(-3), put -3 in place of 'x' in the definition of the function.

f(-3) = -8(-3)²

f(-3) = -8(9) = -72

f(x)= -8x²

f(-3)= -8* (-3)²

f(-3)= -8 * 9

f(-3)= -72

Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.

Answers

$(\sqrt[3]{x^(2)})^(6)=x^{(2* (1)/(3))*6}=x^{ (2)/(3)*6 } =x^(4)$

the cube root of x^2 is x^2/3
because it is in the bracket and the power of 6 sign is outside you multiply its index (2/3) by 6 and you have x^4
so the answer is the second one, x^4

hope this helps :)

Find the highest common factor (HCF) of 30 and 45