Can anyone help me on #8 ? inverse variation or direct variation? and is #9 right I belive it is

Answers

Answer 1

Answer: #8 is kind of a handful. But if you just look at what 'y' is doing as 'x' increases ... no matter where you look, 'y' is always decreasing whenever 'x' increases, so that's certainly not a 'direct' relationship.

#9 is correct. Good work.

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Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression represents her gross pay each day

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In the question "Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression represents her gross pay each day" To obtain the expression that represents her gross pay each day, we divide the given expression by 7 to get (35h + 56) / 7 = 35h / 7 + 56 / 7 = 5h + 8 Therefore, the expression that represents her gross pay each day is 5h + 8.

Answer:

Step-by-step explanation:

ASAP!!!
What is the period of the sinusoidal function?

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Given y = A sin (Bx + C) + D

amplitude is | A |
period is $\bold{\frac{2\pi}{\text{B}}}$
phase shift is ${-\frac{\text{C}}{\text{B}}}$
vertical shift is D

A cos function is the same as a sin function.

A tan function has a period of π, so the period is $\frac{\pi}{\text{B}}$

(2x raised to fourth power) raised to the negative fourth power

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${ \left( { \left( 2x \right) }^( 4 ) \right) }^( -4 )\n \n =\frac { 1 }{ { \left( { \left( 2x \right) }^( 4 ) \right) }^( 4 ) }$

$\n \n =\frac { 1 }{ { \left( 2x \right) }^( 16 ) } \n \n =\frac { 1 }{ { 2 }^( 16 ){ x }^( 16 ) } \n \n =\frac { 1 }{ 65536{ x }^( 16 ) }$

$(2x^4)^(-4)=2^(-4)\cdot (x^4)^(-4)=(1)/(2^4)\cdot (1)/((x^(4))^4)=(1)/(16)\cdot (1)/(x^(16))=(1)/(16x^(16))$

What is the height of a rectangular prism with a base of 147cm and a volume of 1323cm

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What is the meaning of science

The graph below represents which system of inequalities?

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Answer:

Graphing Systems of Linear Inequalities

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. ...

If the inequality is strict ( < or > ), graph a dashed line. ...

Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not.

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. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground

Answers

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 $((b)/(2))^2$ to make it perfect square.

In the expression $t^2-2t$ the value of b is -2. So, we nned to add and subtract $((-2)/(2))^2$ 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.

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