A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.

Answer:

[tex]2(x - 5) ( 9x - 2)[/tex]

Step-by-step explanation:

((2•3^2x^2) -  94x) +  20

Pull like factors :

  18x^2 - 94x + 20  =   2 • (9x^2 - 47x + 10)

Factor

 9x^2 - 47x + 10

The first term is,  9x^2  its coefficient is  9.

The middle term is,  -47x  its coefficient is  -47.

The last term, "the constant", is  +10

Step-1: Multiply the coefficient of the first term by the constant   9 • 10 = 90

Step-2: Find two factors of  90  whose sum equals the coefficient of the middle term, which is   -47.

     -90    +    -1    =    -91

     -45    +    -2    =    -47

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -45  and  -2

                    9x^2 - 45x - 2x - 10

Step-4: Add up the first 2 terms, pulling out like factors :

                   9x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-5)

Step-5: Add up the four terms of step 4 :

                   (9x-2)  •  (x-5)

            Which is the desired factorization

thus the answer is

[tex]2(x - 5) ( 9x - 2)[/tex]

Answer:

Solution given:

18x²-94x+20

taking common

2(9x²-47x+10)

doing middle term factorization

90=45*2

2(9x²-45x-2x+10)

2(9x(x-5)-2(x-5))

2(9x-2)(x-5)

2(x-5)(9x-2)

Last one is a required answer.

Answer:

20

Step-by-step explanation:

Under Darius, the Persian Empire flourished. His most notable accomplishment was perfecting the system of government begun by Cyrus. The empire was divided into 20 satrapies, or provinces, each ruled over by a satrap.

Answer:

38

Step-by-step explanation:

The range of a data set is the smallest number subtracted from the largest number.

[tex]39,41,5,43,26,7,43,24,41[/tex]

In this data set, the largest number is 43 and the smallest number is 5.

[tex]43-5=38[/tex]

Therefore, 38 is the range of this data set.

Answer:

x = 11, y = 22

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex] , then

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{11\sqrt{3} }{x}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by x )

11[tex]\sqrt{3}[/tex]  = x × [tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

11 = x

Using Pythagoras' identity in the right triangle

y² = x² + (11[tex]\sqrt{3}[/tex] )² = 11² + 363 = 121 + 363 = 484 ( square root of both sides )

y = [tex]\sqrt{484}[/tex] = 22

Answer:D

Step-by-step explanation:(5,5)

Answer:

(5,5)

Step-by-step explanation:

Just took the test

Answer:

28 degrees

Step-by-step explanation:

147 - 119 = 28

Answer:

Step-by-step explanation:

Since we already know that PQR is 147 degrees, we just need to subtract PQR to QR, and you will get, (147 - 119), PQ as 28 degrees!

Answer:

9.62 x 10⁻⁵

Step-by-step explanation:

57 / 592346 = 0.0000962275

Scientific notation: We moved the decimal 5 times to the right, and in order to put the number back in standard form, we have to move the decimal 5 times to the left. So the scientific way of saying this is 9.62 x 10⁻⁵

9.62 x 10⁻⁵ or 57 / 592346 = 0.0000962275

How to: Divide the first expression by the second expression.

Have a great day and stay safe ! srry if im wrong

Answer:

Third Option

Step-by-step explanation:

The triangles are congruent.

Answer:

the answer is C

Step-by-step explanation:

if you read the story again you will see why

Answer:

10:38

Step-by-step explanation:

2 hours back from 1:15

11:15

37 minutes back from 11:15

10:38

The start time is 10:38.

Answer:

10:38 am

Step-by-step explanation:

You can use a number line or clock to find the start time

x = 0:15 min - 0:37 min x = -0:22 min

y = 60 min - 22 min y = 38 min

Time = 12:38

1st, subtract the minutes from the end time. If the value is negative, it means that the time goes back into the previous hour.

Subtract from 60 minutes. Time after going back 37 minutes.

Next, subtract the hours from the time. 11:38 am 10:38 am and 10:38

Next, subtract the hours from the time. Going back 1 hour. Going back 2 hour.

Start time is 10:38

Answer:

The surface area equals 45.

Answer:

1. D

2. B

3. A

4. B

Answer:

542.50

Step-by-step explanation:

Given:

Least square regression equation :

y = 102.50 + 0.65x + residual

y = predicted fare

x = distance in miles

Intercept = 102.50

Slope = 0.65

Distance in miles, x = 500 miles

y = 102.50 + 0.65(500) + 115

y = 102.50 + 325 + 115

y = 427.5 + 115

y = 542.50

Answer:

Don't know why everyone downvoted the first answer. Maybe you guys suck at clicking. It's correct.

Your answer is 542.50 (D)

102.50 + 65(500) = 427.5

427.5 + 115 = 542.50

You add the residue.

ED2021

Answer:

A=a+b

2h

Step-by-step explanation:

Answer:

The answer is median :81

Step-by-step explanation:

Answer:

An obtuse isosceles triangle

Step-by-step explanation:

Obtuse triangles always have one large angle that is bigger than 90 degrees and two smaller angles.

An isosceles triangle always has two sides that are the same length.

Answer:

obtuse isosceles triangle

Step-by-step explanation:

trust me bro

Answer:

Total pints of cream will they need for the pasta = 7 pints

Step-by-step explanation:

Given - Pasta Place needs to make pasta with garlic cream sauce for 80 guests at a party. One batch of pasta calls for 3 cups of cream and feeds 10 people. The restaurant already has 5 pints of cream in the fridge.

To find - How many more pints of cream will they need for the pasta?

Solution -

10 people = 3 cups of cream

⇒80 people = 8×3 = 24 cups of cream

Now,

We know that,

1 cup = 0.5 pints

⇒24 cup = 24×0.5 = 12 pints.

Now,

Given that, The restaurant already has 5 pints of cream in the fridge.

So,

Total pints more needed = 12 - 5 = 7 pints.

∴ we get

Total pints of cream will they need for the pasta = 7 pints

Answer:   the second one?[b] brainliest?

Step-by-step explanation:

Answer:

b and brainlist?

Step-by-step explanation:

Answer:

D.) AC ≈ DF

Step-by-step explanation:

The SSS (Side-Side-Side) congruence postulate states that 2 triangles will be congruent assuming that all 3 of their sides are congruent.

In this case, we know that:

So, that's two pairs of congruent sides. We need one more pair of congruent sides to prove SSS congruence. The last two remaining are sides CA and FD!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Have a nice day fam. Spread The Love!

Answer:

12 People!!!

I repeat the answer is:

12 People!!!

Answer:

[tex]\sqrt{7} 2 =x^{8}[/tex]

Step-by-step explanation:

Answer:

the last one since the people in the music and entertainment store are there to only buy records

Answer:

C. 80 ft

Step-by-step explanation:

Volume=width ×height ×length

5×2×8 = 80

Answer:

$2.50

Step-by-step explanation:

5 x 1/2 =

5/2 =

2 1/2

each half is .50

Answer:

2.5$ ( 2 Dollars And 50 Cents )

Step-by-step explanation:

Since your dividing the amount of beef by 2 , you also have divide the cost by 2 . 5$ divided by 2 is 2.5$ .

Answer:

A ≈ 5.6

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] × PQ × PR × sin P

   = 0.5 × 5.2 × 2.8 × sin50°

   ≈ 5.6 ( to 1 dec. place )

Answer:

Step-by-step explanation:

the answer is 80

Answer:

immma send you the link friend me on here

Step-by-step explanation:

Answer:

r=5.86%

Step-by-step explanation: