MATHEMATICS HIGH SCHOOL

Can someone show me the steps to this equation. z- 4(2/3) = 2(2/3)
it read Z minus four and 2/3 equals two and two thirds just to clear confusion that the 2 and 4 are not being multiplied by 2/3

Answers

Answer 1
Answer: so z-4 2/3=2 2/3
so 4 2/3=12/3+2/3=14/3
2 2/3=6/3+2/3=8/3
z-14/3=8/3
multiply both sides by 3
3z-14=8
add 14 to both sides
3z=22
divide both sides by 3
z=22/3=7 1/3
Answer 2
Answer: z-4(2)/(3)=2(2)/(3)\ \ \ \ |add\ 4(2)/(3)\ to\ both\ sides\n\nz=2(2)/(3)+4(2)/(3)\n\nz=6(4)/(3)\n\n\boxed{z=7(1)/(3)}

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Alessandro wrote the quadratic equation –6 = x2 + 4x – 1 in standard form. What is the value of c in his new equation?

Answers

The standard form of a quadratic equation is Ax^2 + Bx + C = 0. So for –6 = x^2 + 4x – 1 to be in its standard form, we can move -6 to the other side of the equation and have x^2 + 4x + (-1 +6) = 0 x^2 + 4x + 5 = 0 So, from the standard form, the value of of C is 5.

Answer:

Step-by-step explanation:

A and b have the same direction, and they both have a magnitude of 6. What must be true about a and b ? a. They are equal and parallel.
b. They are opposites, but not parallel.
c. They are opposites and parallel.
d. They are equal, but not parallel.

Answers

Answer: Option a

They are equal and parallel

Step-by-step explanation:

If a and b have the same direction then necessarily a and b are parallel.

We know that they also have the same magnitude.

Two vectors are equal if they have the same magnitude and direction.

Then we can say that a and b are equal and we can also say that they are parallel.

Therefore the correct option is the option a

Answer:

A

Step-by-step explanation:

Edge2021

If x / y is an integer, which of the following statements must be true?A. both x and y are integers
B. x is an integer
C. either x or y is negative
D. y / x is an integer
E. x = ny where n is an integer

Answers

Only E) is true. If I were to arbitrarily pick x = 2.2 and y =1.1, then I could show that A), B), C), and D) to be false, given x/y = 2.2/1.1 = 2 (which is an integer). However for E), if we define x/y = n where n is an integer, then by rearranging terms, we can show x = n*y where n still equals an integer and our original equation is still valid.

The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? The graph of f(x) = x2 is made narrower. The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.

Answers

The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.

From the choices we only have:
The graph of f(x) = x2 is made narrower

A. The graph of f(x) = x2 is made narrower.

I took the test and that was the answer i got.

Find the median of the data points 60, 52, 11, 29, 46, 9, 33

Answers

Answer:

33 Hope this helps.

Step-by-step explanation:

The median is 33.

The mode is 60,52,11,29,46,9,33.

The mean is 34.2857

Answer:

The median is 31

Step-by-step explanation:

since there is an even number of data points you add the two middle most points and divide them by 2

What is the perimeter of a triangle having side lengths of 8 cm, 10 cm and 6 cm?

Answers

perimeter is all of the sides added up. 
Soooo
8 + 10 + 6 = 24 
So the perimeter of this triangle is 24cm 

love, the Pineapple. 
We just need to add up all of the side lengths, 

8 + 10 + 6 = 24 cm 
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