MATHEMATICS HIGH SCHOOL

True or False: A number is divisible by 6 if the last digit is even or the sum of all digits is divisible by 3.A
True

B
False

Answers

Answer 1
Answer:

A number is divisible by 6 if the last digit is even or the sum of all digits is divisible by 3 the statement is true

A number is divisible by 6 if it is divisible by both 2 and 3.

The first condition states that if the last digit of the number is even (0, 2, 4, 6, or 8), then the number is divisible by 2, as even numbers are always divisible by 2.

The second condition states that if the sum of all the digits of the number is divisible by 3, then the number is divisible by 3. If a number's digits add up to a multiple of 3, then the number itself is divisible by 3.

Since a number that fulfills both conditions (divisible by 2 and divisible by 3) is also divisible by 6, the statement is true.

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Answer 2
Answer: Not all even numbers are divisible by 6

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A two-digit number read from left to right is 20% greater than the same number read from right to left. Find the number.

C+(4-3c)-2=0
Need help

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c+(4-3c)-2=0\n \nc+ 4-3c -2=0\n \nc-3c=2-4\n \n-2c=-2 \ \ /:(-2)\n\nc=1

What is the simplified form of the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n?n = 1
n = −3
n = fraction 3 over 4
n = fraction 1 over 4

Answers

Simple...

so you have...

(4)/(5) n- (3)/(5) = (1)/(5) n

You want to isolate the variable,n,....

so subtract....


(4)/(5) n- (3)/(5) = (1)/(5) n
- (4)/(5)n                -(4)/(5) n

Leaving you with.....

-(3)/(5) = -(3)/(5) n

Now, divide....

(- (3)/(5) )/( -(3)/(5) ) = (- (3)/(5)n )/( -(3)/(5) )

Making n=1

Thus, your answer.

Answer:

n = 1

Step-by-step explanation:

i just took the test

2x + 5y = 0
x - 5y = -15

Answers

2x + 5y = 0\nx - 5y = -15\n-------\n3x=-15\nx=-5\n\n-5-5y=-15\n-5y=-10\ny=2

A triangle has one angel that measures 51 degrees and one angle that measures 39 degrees. what kind of triangle is it?

Answers

Those two angles are complementary - which means they both give us 90 degrees. We know that all three angles in any triangle must be exactly 180 degrees, so the third angle will be 180 - 90 = 90 degrees. It means that our triangle is a straight triangle. The figure will look more less like in the attachment.
it would be a acute because you would do 51+39=90 which u would do 180-90 which would equal 90 and a aucte is a 90 degree angle 

So, I really need help with functional notation...If anyone could help me solve these problems, I'd be extremely grateful!!Given the function G ( x ) =sqrt 2x-1 , find the value G (1), G(0), G(5), G(-4).
Given the function F ( x ) = x^2 - 3 x + 1, find the value F (-3), F(0), F(1).
Given the function H ( x ) = 3 x - 1, find the value H (2).

Answers

g(x)=√(2x-1)
g(1)=√(2(1)-1)=√(2-1)=√(1)=1
g(0)=√(2(0)-1)=√(0-1)=√(-1)=i
g(5)=√(2(5)-1)=√(10-1)=√(9)=3
g(-4)=√(2(-4)-1)=√(-8-1)=√(-7)=i√(7)

f(x)=x^(2)-3x+1
f(-3)=-3^(2)-3(-3)+1=9-(-9)+1=19
f(0)=0^(2)-3(0)+1=1
f(1)=1^(2)-3(1)+1=-1

h(x)=3x-1
h(2)=3(2)-1=5

Which statements accurately describe the function f(x) = 3(16)^3/4? Check all that apply.The initial value is 3.
The initial value is 48.
The domain is x > 0.
The range is y >0.
The simplified base is 12.
The simplified base is 8.

Answers

Answers:

These are the statements that apply:

The initial value is 3.

The range is y >0.

The simplified base is 8.

Explanation:

1) Given expression:

f(x)=3(16)^{(3)/(4) x

2) Check every statement:

a) The initial value is 3?

initial value ⇒ x = 0 ⇒

f(0)=3(16)^(0)=3(1)=3

∴ The statement is right.

b) The initial value is 48?

Not, as it was already proved that it is 3.

c) The domain is x > 0?

No, because the domain of the exponential functions is all the Real numbers.

d) The range is y > 0?

That is correct, the exponential function is continuous, and monotonon increasing.

The limit when x → - ∞ is zero, but y never reaches zero, and the limit when x → ∞ is + ∞, meaning that the range is y > 0.

e) The simplified base is 12?

This is how you simplify the base:

3(16)^{(3)/(4) x}=3{{(16}^((3/4)))}^x=3(16^(3/4)})^(x)=3((2^4)^(3/4))^x=3(2^3)^x=3(8)^x

Which shows that the simplified base is 8 (not 12).

f) The simplified base is 8?

Yes; this was just proved.

Answer:

a,c,e

Step-by-step explanation:
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