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3 years ago

True or false. 2/4=4/6

Mathematics

2 answers:

LekaFEV [45]3 years ago

5 0

Answer:

False

Step-by-step explanation:

2*2 =4, so if this were true 4*2 would equal 6. Since it doesn't, the answer is false.

I hope this helps :)

Lelu [443]3 years ago

5 0

False because 2/4=1/2 while 4/6=2/3

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The function f(t) = 4t2 − 8t + 6 shows the height from the ground f(t), in meters, of a roller coaster car at different times t.

gregori [183]

Answer:

The correct option is 3.

Step-by-step explanation:

The vertex form of a parabola is

$f(x)=a(x-h)^2+k$ .... (1)

where a, h, and k are integers, and interpret the vertex of f(t). (h,k) is the vertex of the parabola.

The given function is

$f(x)=4t^2-8t+6$

It can be written as

$f(x)=4(t^2-2t)+6$

If an expression is defined as $x^2+bx$ , then we need to add $(\frac{b}{2})^2$ to make it perfect square.

In the expression $t^2-2t$ the value of b is -2. So, we nned to add and subtract $(\frac{-2}{2})^2$ in the parenthesis.

$f(x)=4(t^2-2t+1^2-1^2)+6$

$f(x)=4(t^2-2t+1)+4(-1)+6$

$f(x)=4(t-1)^2-4+6$

$f(x)=4(t-1)^2+2$ .... (2)

The vertex form of the parabola is $f(x)=4(t-1)^2+2$ .

From (1) and (2), we get h=1 and k=2. It means the vertex of the parabola is (1,2). Vertex of upward parabola is point of minima. So the minimum height of the roller coaster is 2 meters from the ground.

Therefore the correct option is 3.

4 0

3 years ago

What is the percentage change from 305 to 395

Troyanec [42]

Answer:

29.51%

Step-by-step explanation:

The change from 305 to 395 is the difference between the two numbers. So, it would be 395 - 305 or 90. Now, to find the percentage of change, we need to find what part of the original amount is the change. In other words, we would have to divide 90 by 305. By putting this in a calculator you get about 0.2951. To convert this decimal into a percent, we would multiply by 100 giving us 29.51%.

3 0

3 years ago

Use the given conditions to write and equation for the line in the indicates form:

stellarik [79]

We know that
the equation of the line in slope-intercept form--------------> y=mx+b

Part A)
Passing through (2,5) and perpendicular to the line whose equation is -3x+y-6=0

Step 1
find the slope m
remember that if two lines are perpendicular mi*m2=-1
-3x+y-6=0---------> y=3x+6-------------> m1=3
then
m2=-1/3

Step 2
find the value of b
point (2,5) m=-1/3
y=mx+b----------> 5=(-1/3)*2+b--------> b=5+(2/3)-----> b=17/3

Step 3
find the equation of the line in slope-intercept form
y=(-1/3)x+17/3

using a graph tool
see the attached figure

the answer part A) is y=(-1/3)x+17/3

Part B)
Passing through (2,5) and perpendicular to the line whose equation is -3x-6=7x; slope intercept form.

Step 1
-3x-6=7x---------> 10x=-6 -----> x=-6/10-----> x=-3/5 (parallel to the axis y)
equation of the line is a constant so its perpendicular will be another constant defined by the coordinate y of the point through which it passes parallel to the axis x

point (2,5) ----------> the coordinate y=5
therefore
the perpendicular line is y=5 (parallel to the axis x)

using a graph tool
see the attached figure

the answer part B) is y=5