Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions.

Which is the correct simplified expression for Aryana’s expression?


What is the result for both expressions when x = 3?

Answer:

this triangle would either be acute triangle or not a triangle. I'm not sure which one of those two. sorry.

Answer:

Step-by-step explanation:

Since a^2+b^2>c^2 this is an obtuse triangle.

64+144>196

Answer:

3,240

Step-by-step explanation:

The computation of the population of rabbits in the year 2003 is shown below:

Given that

In the year 1995, the population of the rabbits was 1000

And, in 1999 the population of the rabbits grown to 1,800

So there is an increase of

= (1800 - 1000) ÷ 1000

= 80%

So for 2003, the population of the rabbits is

= 1800 + (1800 × 0.80)

= 3,240

Given:

The population of rabbits on an island is growing exponentially.

In the year 1995, the population of rabbits was 1000, and by 1999 the population had grown to 1800.

To find:

Expected population of rabbits in the year 2003, to the nearest whole number.

Solution:

The exponential growth model is:

[tex]y=ab^t[/tex]

Where, a is the initial value, b is the growth factor, t is the number of years.

Let y be the population of rabbits t years after 1995.

In the year 1995, the population of rabbits was 1000, it can be written as (0,1000) and by 1999 the population had grown to 1800, it can be written as (4,1800).

For (0,1000),

[tex]1000=ab^0[/tex]

[tex]1000=a(1)[/tex]

[tex]1000=a[/tex]

For (4,1800) and a=1000, we get

[tex]1800=1000b^4[/tex]

[tex]\dfrac{1800}{1000}=b^4[/tex]

[tex]1.8=b^4[/tex]

[tex](1.8)^{\frac{1}{4}}=b[/tex]

[tex]b\approx 1.1583[/tex]

The required exponential model is:

[tex]y=1000(1.1583)^t[/tex]         ...(i)

in year 2003, the number of years since 1995 is 8.

Putting t=8 in (i), we get

[tex]y=1000(1.1583)^8[/tex]

[tex]y=3240.1748[/tex]

[tex]y\approx 3240[/tex]

Therefore, the population of rabbits in the year 2003 is 3240.

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+3y= 6     ========================>>>           2x +  3y = 6

x+y=4    =====   times both sides by 2  =====>>>    2x + 2y = 8

             ==== subtract these two equations ==>>  (2x - 2x) + (3y - 2y) = 6 - 8

                                                                                       0x     +      y       =   -2

        y = -2     so if  x + y = 4             plug in -2 where y was

                             x + (-2) = 4              add 2 to both sides

                                    x   =  6

(6,-2)

(-2,6)

(-3, 4)

(0, 2)

Answer:

0.25

Step-by-step explanation:

write 1/4 as a decimal you have to divide numerator by the denominator of the fraction. We divide now 1 by 4 what we write down as 1/4 and we get 0.25. And finally we have: 1/4 as a decimal equals 0.25.

Answer:

0.25

Step-by-step explanation:

[tex] \frac{1}{4} \\ = 0.2[/tex]

Answer:

C and E

Step-by-step explanation:

x= 2t and y= -|2t| / x= t + 4 and y= -|t + 4|. I got in right on edg

Answer:

3,5

Step-by-step explanation:

did the assignment

Answer:

I cant see the link, try reposting...

Step-by-step explanation:

My sisters name is yesenia

Answer:

8x- y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

Answer: 3, 5, and 11

3 * 5 * 5 * 11

Step-by-step explanation:

Make a factor tree for 825

                                 825

                                  /   \

                                5   165

                                       /   \

                                       5   33

                                            /   \

                                           3    11

Answer:

For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

-24 < x - 3 - 8x

-24 < -7x - 3

-24 + 3 = -21

-7x - 3 + 3 = -7x

-21 = -7x

-21 / -7 = 3

-7x / -7 = x

3 = x

Answer:

the answer is D which is 6

The coordinates of point B are located at -5 on the number line, and Point A is located at -8 on the number line. The reflection of point A on the number line is the coordinates of point E.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.

According to the given number line,

The coordinates of point B are located at -5 on the number line, and Point A is located at -8 on the number line. The reflection of point A on the number line is the coordinates of point E.

Thus, Point B is at -5 on the number line, whereas Point A is at -8 on the number line. Point E is the number line's reflection of point A.

Learn more about the number line here:

brainly.com/question/17617832

#SPJ2

Answer:

T = 4.9

Step-by-step explanation:

Just add 3.7 and 1.2 to get 4.9

Answer:

8,000 ordinary income and $1,000 Section 1231 gain

Step-by-step explanation:

Answer:

i hope you do too

Step-by-step explanation:

a fidget spinner? HJBDH

Answer:

a) 65%

b) 28.57%

Step-by-step explanation:

Suppose that 35% of all patients admitted to a hospital's

intensive care unit have high blood pressure, 42% have some sort of infection, and 12% have both problems. Probabilities estimated from the data in ICU Admissions. (10POINTS)

 (a)  Find the probability that a randomly chosen patient in this ICU has either high blood pressure or an infection.

 (b)  Find the probability that a patient admitted to the ICU has high blood pressure given that an infection is present.

Solution:

Let H represent the people with high blood pressure and I represent the people with infection.

P(H) = 35% = 0.35, P(I) = 42% = 0.42, P(H ∩ I) = 12% = 0.12

Those with only high blood pressure = P(H ∩ I') = P(H) - P(H ∩ I) = 0.35 - 0.12 =0.23

Those with only infection = P(H' ∩ I) = P(I) - P(H ∩ I) = 0.42 - 0.12 =0.30

a) probability that a  patient has either high blood pressure or an infection = P(H ∪ I)

P(H ∪ I) = P(H ∩ I') + P(H' ∩ I) + P(H ∩ I) = 0.23 + 0.3 + 0.12 = 0.65 = 65%

b) probability that a patient has high blood pressure given that an infection is present = P(H / I)

P(H / I) = P(H ∩ I) / P(I) = 0.12 / 0.42 = 0.2857 = 28.57%

Answer:

the area is 324 cm²

Step-by-step explanation:

Answer:

area = 324 cm²

Step-by-step explanation:

since it's  a square, all sides are equal in length.

72/4 = 18

18 x 18 = 324 cm²

Answer:

im pretty sure its b

Step-by-step explanation:

bc 5 would be equal to or less than x bc the dot is on 5

Answer: It's either B or D

Step-by-step explanation: You might be forgetting to show something but  based on where the dot is placed its either b or d.

Answer:

128 cu. ft

Step-by-step explanation:

4 x 4 x 8 = 16 x 8 = 128

Answer:

X = 149

Step-by-step explanation:

A full circle is 360 degrees

Add 160+51=211

360-211=149

Answer:

x = 58

Step-by-step explanation:

The secant- tangent angle is half the difference of the intercepted arcs , then

[tex]\frac{1}{2}[/tex] (160 - x) = 51 ( multiply both sides by 2 )

160 - x = 102 ( subtract 160 from both sides )

- x = - 58 ( multiply both sides by - 1 )

x = 58

Answer:

C. 20 could be the third side of the isosceles triangle

Answer:

251.33 = 251

Step-by-step explanation:

V= πr²h = π·2²·20 ≈ 251.32741 = 251.33

Answer:

Step-by-step explanation:

Answer:

47*

Step-by-step explanation:

Using the vertical angle rule, I can get CBD as 47*