8. Write 3x3 – 21x2 + 36x in factored form.
3x(x - 4)(x - 3)
3x(x - 5)(x - 2)
3x(x + 6)(x + 2)
O
3x(x + 4)(x + 3)

Answer:

C

Step-by-step explanation:

this is a "translation" - a shift of the object without changing its shadow and size.

this shift is described by a "vector" - in 2D space by the x and y distances to move.

we have here (1, 0) - so, we move every point one unit to the right (positive x direction) and 0 units up/down.

therefore, C is the right answer (the x coordinates of the points are increased by 1, the y coordinate are unchanged).

Step-by-step explanation:

|- 9| + |- 3|

9 + 3

12

I hope this answers your question

Answer:

Step-by-step explanation:

 L = 4 + w

A = 2P - 4

lw = 2(2l +2w) - 4

lw = 4(l + w) - 4

(w+4)w = 4 ( w+4+w) -4

(w +4)w = 4(2w + 4) - 4

w^2 + 4w = 8w + 16 - 4

w^2 + 4w = 8w + 12

w^2 - 4w - 12 = 0

( w      -       6 )( w  +       2  ) = 0

w - 6 = 0 ----> w = 6 ----> L=10  ---> P = 32  and A = 60

w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected

Answer:

x = -1

Step-by-step explanation:

1/3(6x-3)+2(x-1) = -7

Distribute

2x-1 +2x-2 = -7

Combine like terms

4x -3 = -7

Add 3 to each side

4x-3+3 = -7+3

4x = -4

Divide by 4

4x/4 = -4/4

x = -1

[tex] \frak{ \frac{1}{3}(6x - 3) + 2(x - 1) = - 7}[/tex]

[tex]\twoheadrightarrow \frak{2x - 1 + 2x - 2 = - 7}[/tex]

[tex]\twoheadrightarrow \frak{4x - 3 = - 7}[/tex]

[tex] \twoheadrightarrow \frak{4x = - 7 + 3}[/tex]

[tex]\twoheadrightarrow \frak{4x = - 4}[/tex]

[tex]\star \: \underline{ \boxed{ \frak \green{{x = - 1}}}}[/tex]

Answer:

[tex]\sqrt[2]{3^7}[/tex]

Step-by-step explanation:

[tex]\sqrt[2]{3^7}[/tex]

The top number is the power and the bottom of the fraction is the root

If L(t) = ⟨5 + t, 1 + 5t⟩, then the tangent vector to L(t) is

dL/dt = ⟨1, 5⟩

Any line parallel to L(t) will have the same tangent vector, up to some scalar factor (that is, if the tangent vector is a multiple of ⟨1, 5⟩).

Any line r(t) with tangent vector T(t) = dr/dt that is perpendicular to L(t) will satisfy

T(t) • ⟨1, 5⟩ = 0

• r(t) = ⟨-5, -2t, 1 - 10t⟩ is parallel to L(t) because its tangent vector is

T(t) = ⟨-2, -10⟩ = -2 ⟨1, 5⟩

• r(t) = ⟨1 + 1.5t, 3 + 7.5t⟩ is parallel to L(t) because

T(t) = ⟨1.5, 7.5⟩ = 1.5 ⟨1, 5⟩

• r(t) = ⟨-2 - t, 2 - 2t⟩ is neither parallel nor perpendicular to L(t) because

T(t) = ⟨-1, -2⟩ ≠ k ⟨1, 5⟩

for any real k (in other words, there is no k such that -1 = k and -2 = 5k), and

⟨-1, -2⟩ • ⟨1, 5⟩ = -1 - 10 = -11 ≠ 0

• r(t) = ⟨3 + 15t, -3t⟩ is perpendicular to L(t) because

T(t) = ⟨15, -3⟩

and

⟨15, -3⟩ • ⟨1, 5⟩ = 15 - 15 = 0

Answer:

y = 4x + -1

Step-by-step explanation:

clearly seen.

Answer D

Step-by-step explanation:

looks right

Answer:

gold price : $58.72/gram

$58,720 per kilo(1000) grams

Step-by-step explanation:

Answer:

1≤x≤5

Step-by-step explanation:

The domain is the values for the inputs

The domain goes from 1 to 5

1≤x≤5

Answer:

3/23 = .13 = 13%

Step-by-step explanation:

Answer:

183.3 in^3

Step-by-step explanation:

Find the volume of the rectangular bottom

V = l*w*h

V = 5*5*6 =150 in^3

Find the volume of the triangular pyramid

V = 1/3 Bh where B is the area of the base and h is the height

V = 1/3 ( 5*5) * 4 = 100/3

Add the two volumes together

150 + 100/3

150 +33.3

183.3 in^3

Answer:

16 dollars = 4 pizzas

4 dollars = 1 pizza

Each pizza costs 4 dollars.

Let me know if this helps!

Answer: $4

Step-by-step explanation:

16 divided by 4, equals 4.

Answer:

B, C, and D........................

Answer:

$247

Step-by-step explanation:

$95 = 5 h

1 h = 95 ÷ 5 = $19/h

$19 × 13h = $247

she would make $247 after 13 hours of work.

Answer:

Step-by-step explanation:

L = ⅖ unit

W = ⅕ unit

L+W = ⅗ unit

Perimeter = 2×⅗ = 6/5 units = 1⅕ units

Answer:

L = ⅖ unit

W = ⅕ unit

L+W = ⅗ unit

Perimeter = 2×⅗ = 6/5 units = 1⅕ units

Step-by-step explanation:

Answer:

I think the answer is

x-16

since 16 is subtracted from x.

I hope this helps

Answer:

hope it helps

Step-by-step explanation:

Answer:

To find the HCF we multiply the numbers in the overlapping quadrant together:

Step-by-step explanation:

Answer:

x=52 Here is y

Step-by-step explanation:

(A) The blue line has a slope of 5/2, red has slope 4/4 = 1, and purple has slope 3/9 = 1/3.

To find the slope, take any two points (a, b) and (c, d) on the line, then

slope = (d - b)/(c - a)

i.e. the ratio between the changes in the y and x coordinates.

(B) Each line has equation

• blue: y = 5/2 x

• red: y = x

• purple: y = 1/3 x

This follows from the general equation for a line with slope m and y-intercept b,

y = mx + b

or from the more general equation for a line with slope m passing through a point (a, b),

y - b = m (x - a)

(C) Consider the blue line. If you take units into account, its slope is

(5 units of distance)/(2 units of time) = 5/2 (units of distance/time)

which means, per unit time, some object travels a 5/2 units of distance, and this is the definition of speed.

(D) The competitor with the blue line, Mary, would win the race because their speed is the highest (5/2 > 1 > 1/3).

(E) Average velocity is defined as

v (ave) = ∆d/∆t = (change in distance)/(change in time)

At time 0, no one has moved yet. At time 4,

• Mary has covered a distance of 5/2 × 4 = 10, giving her an average velocity of (10 - 0)/(4 - 0) = 5/2

• Mike has covered a distance of 4, so his average velocity is (4 - 0)/(4 - 0) = 1

• Sam has covered a distance of 1/3 × 4 = 4/3, so his average velocity is (4/3 - 0)/(4 - 0) = 1/3

It's not a coincidence that the average velocities are the same as the slopes, because each racer travels at a constant speed.

(F) The racers' instantaneous velocities are the same as their respective average velocities, again because they are each moving at a constant speed.

Answer:

Step-by-step explanation:

1) First division has to be done.

2) After that multiplication has to be done.

30 ÷ 3 * 2 = 10 * 2

                 = 20

Answer:

20

Step-by-step explanation:

30 ÷ 3 × 2

(Since it’s division and multi platoon, we just go left to right)

10 × 2

20

Answer:

16%

Step-by-step explanation:

To find the percent, take the cost of the books over the total

336/2100

.16

Multiply by 100 to change to percent

16%

Answer:

y = 10.6

Step-by-step explanation:

We can solve using cross products

y       13

---- = ----

9      11

y*11 = 9*13

11y =117

Divide each side by 11

11y/11 =117/11

y=10.63636

To the nearest tenth

y = 10.6

The value of y using the proportion relation y/9 = 13/11 is 117/11.

Given Relation:

y/9 = 13/11

As, the proportion is the condition where two ratios are equivalent.

Now, solving the equation y/9 = 13/11 for y

First, cross multiply the equation

11y = 117

Now, divide both side by 11 gives

11y /11 = 117/ 11

y= 117 /11

As, there no common factor of 117 and 11.

Thus, the simplified value is 117.11

Learn more about Proportion here:

https://brainly.com/question/26974513

#SPJ6

9514 1404 393

Answer:

  24 miles

Step-by-step explanation:

The total fare is the sum of the pickup fee and the mileage charge. For xx miles, the mileage charge will be 1.75xx, so the total is ...

  1.75xx +2.90 = 44.90 . . .  equation for xx

  1.75xx = 42.00 . . . . . subtract 2.90

  xx = 24 . . . . . . . . . divide by 1.75

The number of miles in Nicole's taxi ride was 24.

Answer:

2. Not Divisible

3. Divisible

4. Divisible

5. Divisible

6. Not Divisible

7. Divisible

Step-by-step explanation:

Question 2. Is 629,257 divisible by 5?

- Numbers that are divisible by 5 should end with either 5 or 0.

- The ending term of [629,257] is 7, which is neither 5 nor 0. Therefore, it is not divisible.

Question 3. Is 3,791,916 divisible by 2?

- Numbers that are divisible by 2 should end with an even number or 0, which include 0, 2, 4, 6, 8.

- The ending term of [3,791,916] is 6, which is an even number. Therefore, it is divisible.

Question 4. Is 63,726,125 divisible by 5?

- Numbers that are divisible by 5 should end with either 5 or 0.

- The ending term of [63,726,125] is 5. Therefore, it is divisible.

Question 5. Is 486,342 divisible by 3?

- In numbers that are divisible by 3, the sum of all digits is a multiple of 3.

- The sum of all digits of [486,342] is [4 + 8 + 6 + 3 + 4 + 2 = 27].

- 27 / 3 = 9

- Since the sum of all digits is divisible by 3, then 486,342 is divisible by 3.

Question 6. Is 474,493 divisible by 10?

- Numbers that are divisible by 10 should end with 0.

- The ending term of [474,493] is 3, which is not 0. Therefore, it is not divisible.

Question 7. Is 53,017,587 divisible by 9?

- In numbers that are divisible by 9, the sum of all digits is a multiple of 9.

- The sum of all digits of [53,017,587] is [5 + 3 + 0 + 1 + 7 + 5 + 8 + 7 = 36].

- 36 / 9 = 4

- Since the sum of all digits is divisible by 9, then 53,017,587 is divisible by 9.

Answer:

x=30.5

Step-by-step explanation:

Using midsegment 's theorea:

[tex]2=\dfrac{RG}{RS} =\dfrac{RH}{RQ} =\dfrac{GH}{SQ} \\\\4x-65=2x-4\\\\2x=61\\\\x=\dfrac{61}{2} \\\\x=30.5\\[/tex]