(x + 2)(x + 3)(x + 4) can be written in the form x + ax² + bx + c
where a, b and care positive integers.
Work out the values of a, b and c.

Step-by-step explanation:

the midpoint is(4,1)

that is the answer

Answer:

(4, 1 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = P (6, 6 ) and (x₂, y₂ ) = Q (2, - 4 ) , then

midpoint = ( [tex]\frac{6+2}{2}[/tex] , [tex]\frac{6-4}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex] , [tex]\frac{2}{2}[/tex] ) = (4 , 1 )

Answer:

the answer is 30°

.........

.........

Answer: B.16

Step-by-step explanation:

using pythagoras

[tex]20^{2} = x^{2} + 12^{2}[/tex]

400 = [tex]x^{2}[/tex] + 144

[tex]x^{2}[/tex] = 256

x = 16 and -16

please give me a brainliest answer.

Answer:

Step-by-step explanation:

Company A Total Cost:  Ca = $74

Company B Total Cost:  Cb = $65+$0.60m, where m is the miles driven.

We want to find for what values of m with Company A charge less than Company B:

Ca < Cb  ?

$74 < $65 + $0.60m

$9 < $0.60m

15 < m

m > 15 miles

Company A will cost less than Company B when less than 15 miles are driven.  The costs are the same for 15 miles and higher for Company B beyond 15 miles.

Answer:

Step-by-step explanation:

Total number of tickets:

Number of slushie or an ice cream sundae prize tickets:

Probability of drawing a slushie or an ice cream sundae prize ticket:

Predicted number of times a slushie or an ice cream sundae prize ticket will be drawn:

Step-by-step explanation:

Given the logarithmic expression:

[tex]3log_{5}2 + log_{5}x = log_{5}24[/tex]

Using the Logarithmic Product Rule:

[tex]log_{a}x + log_{a}y = log_{a}(xy)[/tex]

And the Logartihmic Power Rule:

[tex]log_{a}x^{y} = ylog_{a}x[/tex]

Rewriting your given logarithmic expression by applying the power rule:  

[tex]log_{5}2^{3} + log_{5}x = log_{5}24[/tex]

I will use the following logarithmic property to cancel out the logarithmic expressions, which will show why x = 3.

    [tex]_{b}log_{b}x = x[/tex]

Raise each logarithmic expression by the same value as the base, 5:  

[tex](_{5}log_{5}2^{3} ) + (_{5}log_{5}x )= (_{5}log_{5}24)[/tex]

2³(x) = 24  (2³ is multiplied with x instead of addition because of the Product Rule).  

Now that you're left with just 2³(x) = 24, it's easy to see why the answer is x = 3:

2³(x) = 24

8x = 24

Divide both sides by 8:

8x/8 = 24/8

x = 3

Answer:

Step-by-step explanation:

sana maka tulong

Answer:

194

Step-by-step explanation:

because no one else is above 100

Answer:

(1,-4) is in quadrant IV.

Step-by-step explanation:

Answer:

are you doing mathematical models a too?

Step-by-step explanation:

Answer:

129.1 inches

Step-by-step explanation:

Recall that 2.54 cm = 1 in.

Write 328 cm and recognize that we need to convert this to inches:

328 cm      i in

------------ * ------------- = 129.1 inches

      1          2.54 cm

Answer:

Step-by-step explanation:= 21/4 divided by -5/2

= 21/4 x -2/5. flipped and multiplied

= -21/10

= -2 1/10

Answer:

-2 1/10

Step-by-step explanation:

5 1/4 = 21/4

-2 1/2 = -5/2

21/4 ÷ -5/2=-21/10 = -2 1/10

Answer:

It will take 30 days to reach the top of the 30-foot deep pipe.

Step-by-step explanation:

Let's track Sam Snail's movement each day:

Day 1 -

0 + 3 - 2 = 1

Day 2 -

1 + 3 - 2 = 2

Day 3 -

2 + 3 - 2 = 3

Day 4 -

3 + 3 - 2 = 4

Day ...

We can see that the day always matches up with the height on the pipe. This means for the snail to have traveled 30 feet, he needs to have spent 30 days with a constant rate of movement.

Hope this helps!

Answer:

Divide each term in 6x=−7 by 6 and simplify.

Step-by-step explanation:

Exact Form:

x=−7/6

Decimal Form:

x=−1.1¯6

Mixed Number Form:

x=−1 1/6

Answer:

x = - 7/6

Step-by-step explanation:

First, divide both sides of the equation by the same term:

6x = - 7

6x/6 = -7/6

Then simplifly and you'll get your answer! ( I won't show how to simplify but if you want to know tell me!)

x = - 7/6

Answer:

136°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + x - 10 + x + 30 + 2x = 360 , simplify left side

5x + 20 = 360 ( subtract 20 from both sides )

5x = 340 ( divide both sides by 5 )

x = 68

Then

largest angle = 2x = 2 × 68 = 136°

Answer:

-784

Step-by-step explanation:

428 - ? = 1,212

428 - 1,212 = ?

428 - 1,212 = -784

? = -784

hope it helps!

Answer:

- 784

Step-by-step explanation:

428 - x = 1,212​

1,212 - 428 = - x

- x = 784

x = - 784

Answer:

581

Step-by-step explanation:

Answer in the picture

Answer:

x = -5

Step-by-step explanation:

x = -5 because a horizontal line does not change in y value

Horizontal line that goes through the point V(-5,17) is y=17.

The horizontal line that passing through any point (a,b) is y=b

So the horizontal line passing through the point is y=17

Learn more:https://brainly.com/question/11682722

Answer:

x-int = 4.5

y-int = -1

Answer:  

W equals 31.17

Step-by-step explanation:

Eh?..

[tex] \: \: \: [/tex]

Answer:

Step-by-step explanation:

"jisoo"

j = 1

i = 1

s = 1

o = 2

[tex]p = \frac{n!}{k!} = \frac{5!}{2!} = \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = \frac{120}{2} [/tex]

P = 60 word order

------------

"cantik"

c = 1

a = 1

n = 1

t = 1

i = 1

k = 1

[tex]p = n! = 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1[/tex]

P = 720 word order

------------

"sudah"

s = 1

u = 1

d = 1

a = 1

h = 1

[tex]p = 6 \times 5 \times 4 \times 3 \times 2 \times 1[/tex]

P = 120 word order

Step-by-step explanation:

31.25%

1050-800=250

250/800=0.3125

0.3125×100=31.25%

Answer:

The place value of 1 in 1,234,567,890 is 1,000,000,000.

Answer:

In the ones place there is a 0.

Step-by-step explanation:

Answer:

$5,172.93

Step-by-step explanation:

We're gonna use the simple interest formula: P = A(1 + r(t))

P = final amount

A = starting amount (4,678)

r = rate (0.073)

t = years (529/365)

P = 4,678(1 + 0.073(529/365))

P = 5,172.9324

Answer:

The 3 one is 2 and the forth one is 10

Step-by-step explanation:

i did the math

Answer:

2 miles; 10 miles

Step-by-step explanation:

For a distance of 3,520 yards...

3,520 = 1,760m

Divide both side by 1,760

m = 2 miles

For a distance of 17,600 yards...

17,600 = 1,760m

Divide both sides by 1,760

m = 10 miles