Convert the following into Vertex form
y=-3x^2 +1

Answer:

1) 43/10

3) p = kt/v

4) C

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.

[tex]\rm d\times w = constant[/tex]

JB who weighs 50 kg sits 3 feet from the fulcrum.

Distance of JP from the fulcrum in order to  balance with JB if he weighs 35 kg?

[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]

So JP must sit at a distance of about 4.28 feet from the fulcrum

2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is  reading.

A. write the variation equation

 let the number of pages read by Ethan be p

let the number of hours he is reading be  h

According to the given situation

[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]

B . According to the given condition

[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]

hence the constant of proportionality c = 1.5  

So let us consider he reads p' pages in 21 minutes

[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]

3. The pressure of the gas is directly proportional to the temperature and inversely proportional to  its volume.

A. Write the variation equation.

Let P = Pressure , V = Volume and T = Temperature

The equation is

[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]

B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?

Since the temperature is doubled and volume is halved  so putting 2T and  and volume V/2 in equation (3.1) we get

[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]

So the values of new pressure become 4 times the value.

4. Given the equation y = k ma, where k is the constant of variation, which of the following

statements are TRUE or FALSE.

A. y and r varies directly.  

B.y and q are directly proportional

C.y and pq2 varies jointly

D. p and r are inversely proportional

E. y and p varies directly.​

It seems that Question 4  has an ambiguity since the equation y = k ma

does not signifies any of the option

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Answer:

Wizard or the devil

Step-by-step explanation:

Answer:

The devil

[tex]el \: diablo[/tex]

Answer:

Tara can make 14 smaller bags.

Step-by-step explanation:

Answer:

11.x=100

12.x=118

Step-by-step explanation:

using the interior angles theorem the space below x is 80 degrees

the space below 80 is x

Every paralellogram equals 360 degrees

add all angles and subtract from 360 to find x

80+80+x+x=160+x2

x2=200

x=100

Use the same thing for 12

62+62+X+X=360

124+2X=360

2X=236

x=118

Answer:

x=8

:)

Step-by-step explanation:

Answer:

12d-4e-2f

Step-by-step explanation:

pls mark as brainliest!!

Answer:

AC=13, DE=24

Step-by-step explanation:

we find it using Pythagoras theorem, a²+b²=c²

note that 'c²' always represent the hypotenuse

for the first triangle,

5²+12²=25+144=169, this is the square form

√169=13

AC=13

for the second,

10²+b²=26², we will rearrange the formula so that we could find 'b'

b²=26²-10²

b²=676-100

b²=576

b=√576

b=24

DE=24

i hope this helps

Stay safe from the virus

Answer:

-1704

Step-by-step explanation:

5, -14, -33

it goes down by 19 each time

nth term: -19n+25

91st term is 91 times -19=-1729+25=-1704

Answer:

Check below for the process

Step-by-step explanation:

So ill take a) for example. it says that y is equal to 4 times x. y referring to the column y. So in the first row when it says x is one you would have to do 4 times 1 to find what would be in y

Answer:

D

Step-by-step explanation:

sorry if its wrong. havent learned this in a while.

Answer:

Ok, so you see here, the demain is described as, to which to point does the x-axis change throught the graph, meaning here, you graph reaches from x = -4, to x = 2, that means that the domain is:

D) -4 ≤ x ≤ 2

Hope this is correct and helps!

Answer:

i want to say neither

Step-by-step explanation:

-7x + 3y = 2

We dont know what x or y is.

Answer:

pretty sure its neither so D.

Step-by-step explanation:

Answer:

-2.5

Step-by-step explanation:

it is what it is

The rate of change for the line of best fit = -2.5 degrees

"The rate at which one quantity is changing with respect to another quantity."

"The equation of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is [tex]\frac{y-y_1}{y_2-y_1}= \frac{x-x_1}{x_2-x_1}[/tex]"

For given question,

We have been given a scatter plot and the line of best fit.

We can observe that the line of best fit passes through points (40, 25) and (30, 50)

Let [tex](x_1,y_1)=(30,50),(x_2,y_2)=(40,25)[/tex]

So, the equation of the line of best fit would be,

[tex]\Rightarrow \frac{y-50}{25-50}= \frac{x-30}{40-30} \\\\\Rightarrow \frac{y-50}{-25}= \frac{x-30}{40-3010} \\\\\Rightarrow y-50=\frac{-25}{10} (x-30)\\\\\Rightarrow y-50=-2.5x+75\\\\\Rightarrow y=-2.5x+125[/tex]

Here slope of the line is [tex]m=-2.5[/tex]

We know that the slope is the rate of change for the line of best fit.

Therefore, the rate of change for the line of best fit = -2.5 degrees

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Answer 6

Step-by-step explanation:

I found the answer on calculator

Answer:

The ordered pair for point A is (-2, 0). For point B, move to the right 4 units to get an x-coordinate of 4, then move down 3 units to get a y-coordinate of -3. The ordered pair for point B is (4, -3). For point C, move to the right 3 units to get an x-coordinate of 3, then move up 5 units to get a y-coordinate of 5.

Step-by-step explanation:

hope this helps

Answer:

(-2, -3)

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

600-528=72. (subtract)

72/600= 3/25. (simplify)

3/25 = 12%. ( convert to percent)

(answer accuracy not garunteed)

Answer:

600-528 = 72

72/600 = 0.12

0.12 X 100 = 12 %

It is reduced by 12 %

Answer: $375.37

Step-by-step explanation:

From the question, we are told that Kelly has $5.38 in her account before receiving her $832.19 paycheck. We are further told that she writes checks for rent and car insurance in the amounts of $359.82 and $72.38 and that she also withdraws $30.

Her current balance will be:

= $5.38 + $832.19 - $359.82 - $72.38 - $30

= $375.37

Her current balance is $375.37

Answer:

58.5 is your answer

Step-by-step explanation:

Answer:

P(green) =1/4

P(orange)=1/2

Step-by-step explanation:

I'm assuming this is probability but it\s been a while, so i'm not sure

number one is a square being divided into half and then one half is being divided into quarters. (as shown by the dotted lines and right angle)

so the probablity of landing in green is 1/4, because it is one fourth of the square.

the probability of the orange is 1/2 because it is 1/2 of the square

The same logic would apply to the "circle" i can see in the next problem. 120 degrees is 1/3 of 360, 90 is 1/4, and so on.

Hope that helps.

Answer:

Step-by-step explanation:

The quotient of -7 and y is:

Answer:

[tex] \huge \boxed{ \frac{ - 7}{y} }[/tex]

Step-by-step explanation:

The slopes of perpindicular lines must be negative reciprocals of each other -- while -4 and 4 are negative to each other, the negative recipricocal for -4 is 1/4 and -1/4 for 4.

The slopes of parallel lines must be the same, so these are not parallel.

Answer:

[tex] = 200 + 50 \\ = 250 \\ [/tex]

Question  A cell phone plan costs $200 to start. Then there is a $50 charge each month.

answer 250

Answer:

x = 3 and x = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

(a)

2(5x - 3) = 24 ( divide both sides by 2 )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(b)

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = [tex]\frac{9}{2}[/tex]

The step that is not used when constructing an inscribed equilateral triangle using technology is " create another circle with the same radius as the original".

"The definition of circumscribed means that an object is drawn around another, making it bounded or limited within a certain boundary. And so, a circumscribed circle of a triangle is a circle that limits a triangle's space. In other words, the circle contains a triangle inside it. The vertices of the triangle are located along the boundary of the circle.

Geometric scenarios like this wherein a shape are drawn inside another or containing another; the name is given depending on which object is taken as a reference. Circumscribed circle of a triangle, the circle is outside the triangle in a simpler sense. In other words, the triangle is inside the circle."

Since,

Creating another circle with the same radius as the original is the not a step in construction of inscribed equilateral triangle.

Hence D is the correct option.

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Answer:

There is nothing  to multiply.

Include the problem please