Evaluate g(x)=4 -3x when x=-3,0, and 5

Answer:

The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.

Thus,

Step-by-step explanation:

Given the rule T–3, 5(x, y)

It means we need to subtract 3 units from the x-coordinate and add 5 units in the y-coordinate.

Thus, if a triangle on a coordinate plane is translated according to the

rule T-3, s(x, y), then another way to write this rule will be:

(x, y) ⇒ (x – 3, y + 5)

Answer:

(x + 5) is not a factor of, [tex] f(x) = x^ 3 − 4x^2 + 3x + 7 [/tex]

Step-by-step explanation:

[tex] f(x) = x^ 3 − 4x^2 + 3x + 7 \\ \\ let \: x + 5 = 0 \\ \implies \: x = - 5 \\ \\ plug \: x = - 5 \: in \: f(x) \\ \\ f( - 5) = ( - 5)^ 3 − 4( - 5)^2 + 3( - 5) + 7 \\ \\ f( - 5) = - 125 − 4(25) - 3( 5) + 7 \\ \\ f( - 5) = - 125 − 100 - 15 + 7 \\ \\ f( - 5) =7 - 240 \\ \\ f( - 5) = - 233 \\ \\ \because \: f( - 5) \neq 0 \\ \implies \: remainder\: is\: not\: zero\\ \therefore \: (x + 5) \: is \: not \: a \: factor \: of \: \\ f(x) = x^ 3 − 4x^2 + 3x + 7 \\ [/tex]

Answer:

1/5

Step-by-step explanation:

Hope this helps!

Answer:

B: (2, -1)

Step-by-step explanation:

Answer:

107.5

Step-by-step explanation:

8 × 2.75ft = 22ft

22ft + 85.5ft = 107.5ft

Answer:

107.1

Step-by-step explanation:

the elevator is at 85.5 feet.

if the ascending (going up) rate is 2.75 and you want to know how far in 8 seconds, it's an easy process.

1. find the direction your going (up or down)

2. how far? (what rate for this one)

3. multiply said problem (2.75 x 8)

4. get your answer (21.6 ft per 8 seconds)

5. add or subtract to the height you are at now (85.5 ft)

6. you now have your answer! (107.1 ft in the air)

Answer:

2/3 is the slope of the perpendicular line

Step-by-step explanation:

1) put into slope-intercept form (y=mx+b)

-8=2y+3x

-2y=3x+8

y=-3/2x-4

2) the line is perpendicular so the slope will be opposite and the reciprical of the original slope.

so, because the original was -3/2, the new one is 2/3

Answer:

6 would be opposite

Step-by-step explanation:

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

[tex]A=\frac{\sqrt{3} }{4} a^{2}[/tex]

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

[tex]A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}[/tex]

[tex]A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}[/tex]

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

[tex]A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}[/tex]

[tex]A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}[/tex]

Now, comparing areas:

[tex]\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )[/tex]

[tex]\frac{A_{1}}{A_{2}} =[/tex] 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

algebra.............

Answer:

B. 4x-8

Step-by-step explanation:

GH=po

That is answer

Yay

Answer:

i think 7

Step-by-step explanation:

Answer:

Percent of occurrences= (Numbers of behavior/Numbers of opportunities)*100

Step-by-step explanation:

Based on the information given if a child is to put his/her plate in the sink everyday after having dinner the formula that will be use to calculates percent of occurrences is :

Percent of occurrences=( Numbers of behavior/Numbers of opportunities)*100

Where:

Numbers of behavior represent the Numbers of times the plate was put in the sink by child everday

Numbers of opportunities represent the Numbers of dinners the child had everyday

Answer and explanation:

We are told that Sarah has 600g of butter, 300g of caster sugar, 1kg of plain flour, and 500g of cornflour

We are also told that she found this list of ingredients for making 8 shortbread biscuits. The question isn't clear on whether the ingredients listed above are for the 8 shortbreads, or ingredients for 8 shortbreads were omitted.

We are told Sarah wishes to make as many shortbreads as possible.

To work out how many shortbreads Sarah can make, we need to know the ingredients required for one shortbread(or a number of shortbreads) and ingredients Sarah currently has. The question lists Sarah's ingredients and the number of shortbreads(8) that can be made with them, but doesn't go further than this. Therefore we can conclude that Sarah can only make 8 shortbreads given the amount of ingredients in her possession.

Answer:

it takes her 1/10 of an hour

Step-by-step explanation:

math

Answer:

12x

Step-by-step explanation:

Not a quotient because its not division.

Answer:

1/8th

Step-by-step explanation:

since there are 24 hours in a day

Answer: 1/8

Step-by-step explanation:

a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest  form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.

Hope i helped have a good rest of your day!!

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The guy above me was correct. I got a 99% on my test.

Answer:

Step-by-step explanation:

(your value for y is correct)

this is an equilateral triangle so the right triangle’s hypotenuse is 40

to find x we need to use sin (which equals opposite of the angle over hypotenuse)

so

sin(x) = 20/40

sin(x) = 1/2

sin inverse(1/2) = x

x = 30°

Answer:

I am confused there no picture so go with your gut man

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

RS + ST will equal RT.

So, 2 + 3x must equal 5x.

2+3x = 5x

2 = 2x

x = 1

ST = 3x

ST = 3*(1)

ST = 3

Answer:

The anwser is B.) 49

Step-by-step explanation:

If you subtract 79 (the amount of 7th graders riding the bus) from 128 (the total number of 7th graders) you will get 49. Therefore 49 is the answer.

Hope this helps!!

Answer:

yeh its b

Step-by-step explanation:

because the first persons answer was right and well i want the points.

Answer:

you have it almost good. all you have to do is move the dot from (500,80) to (500,0) because by 500 kilometres all 400 liters of fuel has been used.

500*.8=400

Answer:

Step-by-step explanation:

This is the right answer

I screenshot the picture and it shows i got it right

Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

3(x+2) = 24 (because it’s an isosceles so both sides are equal)

x+2 = 24/3

x +2 = 8

x = 8-2

x = 6

Answer:

4

Step-by-step explanation:

7+ (-3)= 4 lol not sure if thats what you wanted but thats what i understood from your question

Answer:

24.3470022334

Step-by-step explanation:

9514 1404 393

Answer:

  1) W = 10

  2) x = 33/2

Step-by-step explanation:

These are 2-step linear equations. Step 1: Add the opposite of the constant on the right. Step 2: Divide by the coefficient of the variable.

__

1) 15 = 2W -5

  20 = 2W . . . . . add +5

  10 = W . . . . . . . divide by 2

__

2) 24 = 2x -9

  33 = 2x . . . . . add +9

  33/2 = x . . . . divide by 2

_____

As always, whatever you do to one side of the equation must also be done to the other side. That is, the same number is added to both sides; both sides are divided by the same number.