What is the factored form of this expression?

4t2 − 27t + 18

A.
(4t − 18)(t − 1)
B.
(4t − 3)(t − 6)
C.
(2t − 9)(2t − 2)
D.
(2t − 6)(2t − 3)

Answer:

Remember that the slope is the change in y/the change in x

Step-by-step explanation:

1. The slope  [tex]\frac{-0.5- 0.5}{3 - (-3)}[/tex]

                  = [tex]\frac{-1}{6}[/tex]

2.  Find "b" which is the y-intercept.  Pick one of the two point and the slope.

     Let use (-3, 0.5) and the slope is -1/6

      y = mx + b

      0.5 = -1/6 (-3) + b                      Solve for b

       3 = 3 + b                                   Multiply each term by 6

       0 = B

3. Write the equation of the line  y = mx + b

                                                       y = -1/6x + 0

Answer:

1000000 or 2200000

Step-by-step explanation:

(im not sure if your asking for 10^6 or for 2.2 times 10^6 so whichever one applies to you

Answer:

134/1111

Step-by-step explanation:

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact form:  [tex]\frac{134}{1111}[/tex]

Decimal form: 0.1206...   (repeating)

Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

Answer:

(1,-4)

Step-by-step explanation:

2x+4y=-14

x-2y=9

2x+4y=-14

2(x-2y)=(9)2

2x+4y=-14

2x-4y=18

Add X

4x=4

X=1

Substitute x into any equation

(1)-2y=9

-2y=8

y=-4

Answer:

175.42

Step-by-step explanation:

surface area of square pyramid is given by:

Area= s^2 + 2(s)(l)

where s is the base and l is the slant height

in given problem, slant height l is not given, so by using Pythagoras theorem finding l:

c^2= a^2 + b^2

    =  8^2 + 4^2

    = 48.49

c     = 6.96348

Now putting values of s=8 and l= 6.96 in first formula

Area= 8^2 + 2(8)(6.96)

     =  64 + 111.41

     = 175.42

!

Answer:

https://sooddan.zendesk.com

Answer: 7.083

Step-by-step explanation:

Can not be 7.803 because the 8 is in the tens place and the 3 is separated from it. Can't be 7.83 or 7.830 either because the 83 is only in the hundredths place. They are also the same thing seeing as the 0 is not needed, so they are said the same way, which would be seven and eighty-three hundredths.

Answer:

Step-by-step explanation:

25- guaranteed

$14 on each table waited on

He waited on 17.

17x14= $238 tips

238+25= $263

1. Marques expects to earn $263 on 17 tables

2. He expects to make 25+14t per day.

We will see that the component form of the given vector is <-8, 2>, so the correct option is D.

For a vector with starting point (a, b) and endpoint (c, d), the component form is:

<c -a, d -b>

In this case, we can see that the starting point is (4, -1), and the endpoint is (-4, 1)

Then the component form of the vector is:

<-4 - 4, 1 - (-1) > = <-8, 2>

So the correct option is D.

If you want to learn more about vectors, you can read:

https://brainly.com/question/3184914

Answer:

1.5 seconds

Step-by-step explanation:

Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:

340 = -16x² - 4x + 382

0 = -16x² - 4x + 42 (Subtract 340 from both sides)

16x² + 4x - 42 = 0  (Multiply entire equation by -1, "flip" equation)

8x² + 2x - 21 = 0    (Divide entire equation by 2)

(4x + 7)(2x - 3) = 0  (Factor LHS)

4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)

4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)

[tex]x = -\frac{7}{4} =-1.75 . or .x= \frac{3}{2} = 1.5[/tex]

x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.

(hop this helps can I pls have brainlist (crown)☺️)

Answer:

46lb

Step-by-step explanation:

you take twenty five divide by one twenty

Answer:

30lbs your awnser is that 30 pounds

Step-by-step explanation:

6 = b

7 = d

8 = c

9 = a

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

208 students I think that's the answer

Answer:

7,58,406 ,   7,85,046 ,    7,85,460 ,   7,85,640  

Step-by-step explanation:

Answer:

I would guess it would be 0 but is there a graph or background info

?

Step-by-step explanation:

1.

2(2)^3 - 5(2)^2

2(8) - 5(4)

16 - 20

-4

2.

[ 4(5)^2 + 2 ] / [ 5 + 1 ]

(4(25) + 2) / 6

100 + 2 / 6

102 / 6

17

3.

15 - (-1)^5

15 - - 1

15 + 1

16

Hope this helps!! :)

Answer:

The answer is D) 12

There are two trips, but the distances are the same.

Trip #1: uphill, at 9 mph

Trip #2: downhill at 18 mph

Total round trip is 30 minutes.

Since he's going half the speed uphill, Trip #1 takes twice as long as Trip #2.

So if the time for Trip #2 is x, then the time for Trip #1 is 2x.

     x + 2x = 30, so x=10

Trip #2 takes 10 minutes.

Trip #1 takes 20 minutes.

Trip #1: 20 minutes at 9 mph = 3 miles

Trip #2: 10 minutes at 18 mph = 3 miles

This means his school is 3 miles away.

If you want an equation to solve,

Let d = distance to school.  We use d = r·t formula to set up that t = d/r

let t1 = time going to school and t2 = times going home

t1 + t2 = 30 and t1 = d/9 and t2 = d/18.

    d/9 + d/18 = 0.5    (it's 0.5, because we need the time in hours)

      mutiply both sides b 18

    2d + d = 9

     3d = 9

       d = 3

Answer:

6x(x+2xy+y^2)

Step-by-step explanation:

answer is 0.7 ...............

Answer:

0.25

Step-by-step explanation:

First, you distribute the equation.

2(2x+3)-2=5

4x+6-2=5

Then, you combine like terms.

4x+6-2=5

4x+4=5

Next, you subtract 4 from each side.

4x+4=5

4x+4-4=4x

5-4=1

4x=1

Finally, you divide each side by 4.

4x/4

1/4

(4x/4 you'd end up with x)

Answer: x=1/4

Uhmm,, 132,894?

132,894 ba?

An area model for the area of 1,32,894 units² is shown in the image.

We have to give that,

The standard algorithm is,

642 x 207

Now, for the area model,

Draw a rectangle with a length of 642 units and a width of 207 units.

Then, the Area of the rectangle is,

A = Lenght x Width

A = 642 x 207

A = 1,32,894 units²

Hence, the Area is,

A = 1,32,894 units²

To learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ6

Answer:

P = a + b + c

Step-by-step explanation:

Answer:

The answer is 7/15

Answer:

The price of 3 pounds would be $1.20 per pound and the price of 5 pounds would be $1.05 per pound

So, Five pound would cost 15 cents less than the 3 pounds

Step-by-step explanation:

Divide the price by the pounds

Hope this helps

____________

[tex] \: [/tex]

100 in exponent 1 - 10 :

Answer:

241

Step-by-step explanation:

15th squared number = 225

4th squared number = 16

225 + 16 = 241

112.5 miles in 2.5 hours

Answer:

Step-by-step explanation:

speed × time = distance

45 × 2.5 = 112.5

45 is the speed

2.5 is the time

11.25 is the distance

Answer:

Step-by-step explanation:

The car will travel 30 2/3 miles in 45 minutes.Oct