Given g(r) = 3 – 8r, find g (–3).

When a shape is rotated, it must be rotated through a point.

The vertices of the triangle would remain unchanged after both transformations

Assume the coordinates of triangle ABC is (x,y).

The first rotation is 90 degrees clockwise rotation.

The rule of this transformation is:

[tex](x,y) \to (y,-x)[/tex]

Next, the triangle is rotated 270 degrees clockwise.

The rule of this transformation is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex](y,-x) \to (x,y)[/tex]

Hence, the vertices of the triangle would remain unchanged after both transformations

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Answer:

(a+b)² - 2ab

Step-by-step explanation:

it is a formula :)

Answer:

negative numbers don't have square roots. a square is either positive or 0, so your questions answer doesn't exist. if you want positive 7 though, 5.291502... etc

27/50

Step-by-step explanation:

You would have to subtract 50 and 23 to find out how many adult tickets there was

Answer:

Step-by-step explanation:

a  (2³)² = 2³ˣ² = 2⁶

b (7⁰)¹ = 7⁰ˣ¹ = 7⁰ = 1

c (5⁶)³ = 5⁶ˣ³ = 5¹⁸

d (6²)⁴ = 6²ˣ⁴ = 6⁸

e (8³)⁴ = 8³ˣ⁴ = 8¹²

f (4³)² = 4³ˣ² = 4⁶

g (9¹)² = 9¹ˣ² = 9² = 81

h (3⁷)² = 3⁷ˣ² = 3¹⁴

i (10²)³ = 10²ˣ³ = 10⁶

j (11²)⁴ = 11²ˣ⁴ = 11⁸

Answer:

a

Step-by-step explanation:

(2a²bc²)(5b²c)

= 2 × 5 × a² × b × b² × c² × c

= 10 × a² × b³ × c³

= 10a²b³c³

Answer:

A: yes

B: yes

C: no

D: no

E: no

Hope This Helps!!!

Answer:

s = -2

s = -8

Step-by-step explanation:

negative numbers get smaller and smaller the farther they are from zero

Answer:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

4

x

2

y

3

Step-by-step explanation:

Answer:

[tex]4x^3y^4[/tex]

Step-by-step explanation:

Answer:

[tex]{ \rm{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]

Answer:

Step-by-step explanation:

When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"

Group together two terms, watch out for the negative signs!

x^3 + 2x^2-5x-10=0

(x^3 + 2x^2) - (5x+10)=0

Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.

x^2(x+2)-5(x+2)=0

Now you can factor out that (x+2) because it is both terms.

x^2(x + 2) - 5(x + 2)=0

~~~~ ~~~~

Pull these out.

What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)

(x + 2)(x^2 - 5) = 0

If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.

x = -2 and x = +- sqrt5

Answer:

$ 4.07

Step-by-step explanation:

The problem is asking for the Increase in the stock price from Monday to Tuesday, meaning they want to know the difference between the stock price on Monday and Tuesday.

So we subtract Monday's price from Tuesday's price.

$60.19- 56.12 = $4.07

Answer:

send the graph and ill solve it

Step-by-step explanation:

Answer:2*225*pie/360*3

Step-by-step explanation:

The required length of the arc is 11.78cm

Angle θ = 225 degrees
radius = 3 cm
arc = ?

What is an arc?

Arc is the measure of angle on the circumference of circle.

Length of an Arc = θ × (π/180) × r

Length of an Arc =225 × (π/180) ×3
= 11.78

Thus, the required length of the arc is 11.78 cm

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Answer:

67 gallons at 335 minutes

81 gallons at 405 minutes

Step-by-step explanation:

I plotted the points and determined they form a straight line, with a slope of 3 and a y-intercept of 0.

In the form of y=mx+b,

this fill behavior can be represented as y = (1/5)x + 0, or y = (1/5)x

y is the volume in gallons and x is the time in minutes.  The slope, (1/5), is the rate of filling the tank, in gallons/minute.

The solutions for 335 and 405 minutes may be found either by marking them on the graph (attached), of by simple calculation:

At 335 minutes, y = (1/5)(335), or 67 gallons

At 405 minutes, y = (1/5)(405) = 81 gallons

Answer:

Step-by-step explanation:

The Rational Root Theorem tells you that potential rational roots are ...

  ±(divisor of constant term)/(divisor of leading coefficient)

Ignoring the fact that all of the coefficients can be reduced by a factor of 2, straightforward application of this theorem suggests possible rational roots might be ...

  ±{1, 2, 4}/{1, 2} = {±1/2, ±1, ±2, ±4} . . . potential roots

Examination of the graph of the function shows the actual roots are ...

  x = -2, -1 (multiplicity 2)

_____

Additional comment

Descartes' rule of signs eliminates positive real roots from the list. (There are no coefficient sign changes, hence no positive real roots.)

Division of the polynomial by 2 gives x³ +4x² +5x +2 = 0, which only suggests rational roots of -2 or -1. The answer to the question of potential roots depends on the extent to which you refine the list above.

Answer:

14 apple pies

Step-by-step explanation:

Answer: $7 and 50 cents

Four movie tickets cost $30.00

1 movie ticket will cost 30.00/4 = $7.50

Answer:

x = 7

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

In order to be in standard form, all the variables should be on the same side of the equation. The x^2 term should be first, then the x term then the constant (you could think of it as an x^0 term; it is a plain number) The coefficients of the x^2 term and the x term, should be integer coefficients (the number next to the x^2 and x cannot be a fraction or decimal)

Answer:

(-7x + 4)(-7x - 4)

Step-by-step explanation:

When you multiply two binomials together and you want the result to be the difference of squares, the two binomials must have the same terms and ONE of the terms must have the opposite sign.

Ex: (a+b)(a-b)

OR (x+2)(x-2)

OR (m-3)(m+3)

OR (2x+1)(2x-1)

OR (-5n+7)(-5n-7)

These multiplications

(–7x + 4)(–7x + 4) and

(-7x + 4)(4 - 7x) yield a perfect square trinomial.. Both factors are identical, so they are not the answer.

(–7x + 4)(7x – 4) is also not the answer because one factor is the opposite of the other factor. That is, both terms in one factor are the opposite sign from the other. We need just ONE term to have the opposite sign.

Difference of squares:

(a+b)(a-b)=

a^2 - b^2

Answer:

57

Step-by-step explanation:

...........................

If you add 2 to 55 it’s going to equal 57

Answer:

y = -5x - 4

Step-by-step explanation:

yeah-ya............ right?

Answer:

A

Step-by-step explanation:

90/2 = 45

45/2 = 22.5

Answer:

Step-by-step explanation:

add up to a total of 21 girls. The question says there are 19 girls, so those two are eliminated. Table B's data doesn't even add properly so that is eliminated too

Answer:

Add up the 21 girls,

table B is out btw

Ik I'm late just want to help :)