need help ASAP.
what is the best estimate for the value of the expression?
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By "state the universe" I suppose you mean "domain". log₂(x ² + 3x + 2) is defined for

x ² + 3x + 2 = (x + 1) (x + 2) > 0   →   x < -2   or   x > -1

(To solve the inequality, consider values of x between the ones that make the expression exactly equal to 0, in this case x = -2 and x = -1. We have, for instance, for x = -3, that (-3)² + 3(-3) + 2 = 2 > 0, so x ² + 3x + 2 > 0 for all x < -2.)

Now solve the equation: Write both sides as powers of 2 to eliminate the logarithm on the left:

[tex]\log_2(x^2+3x+2)=1\implies 2^{\log_2(x^2+3x+2)}=2^1\implies x^2+3x+2=2[/tex]

Solve the remaining quadratic:

x ² + 3x + 2 = 2

x ² + 3x = 0

x (x + 3) = 0

x = 0   or   x = -3

Both of these solutions are within the presribed domain (-3 < -2 and 0 > -1), so we're done.

Answer:

1,980 would be the area and the perimeter would be 39 im pretty sure

Answer:

74 hope this works if not I'm sorry

Answer:

Sam gets £30 and Bethan gets £24

Step-by-step explanation:

5:4

5+4=9

£54/9= £6

£6 x 5= £30

£6 x 4 = £24

Therefore, Sam gets £30 and Bethan gets £24

Answer:

I think B but Im not 100% sure

Answer:

-3.8

Step-by-step explanation:

1.6(2.5-10) + 8.2

1.6(-7.5) + 8.2

-12 + 8.2

-3.8

Answer:

-3.8

Step-by-step explanation:

1.6 * 2.5 = 4

1.6*-10 = -16

4-16+8.2

4-16 = -12

-12+8.2 = -3.8

The dimensions of the rectangle will be (2x - 9)(x - 5).

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the area of the rectangle is represented by a quadratic equation 2x² - 19x +45.

The dimensions of the rectangle will be the factors of the quadratic equation.

2x² - 19x + 45

2x² - 10x -9x + 45= 0

2x( x - 5 )-9(x - 5)= 0

( 2x - 9 ) ( x - 5 ) = 0

Therefore, the dimensions of the rectangle will be (2x - 9)(x - 5).

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Answer:

Harry is paid £64

Step-by-step explanation:

To work this out you have to divide 48 ÷ 6 to get 8.

8 hours x £8 = £64

Answer:

64

you have to find the LCM of 48 including 6 and use the other number which is 8 and multiply it by how long Harry worked 8 hours which gives you £64

Answer:

Well if each plate is 5.70 then the answer is 34.2

Step-by-step explanation:

Each plate was $0.95 if that's what you're trying to figure out but you didn't really specify what we were looking for

Answer:

I don't know.

Step-by-step explanation:

I don't know.

Answer:

see explanation

Step-by-step explanation:

(a)

The turning point is the vertex of the graph

The coordinates are (2, - 4 )

(b)

The zeros are the values of x where the graph crosses the x- axis

The graph crosses the x- axis at

x = - 1, x = 5 ← zeros

(- 1, 0 ), (5, 0 ) in coordinate form

Answer:

15 CM

Step-by-step explanation:

Both sides are same length proven by the same angles making botrh sides 15 cm

Answer:

d

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

y=1262 /63 or y=20 and 2/63

Step-by-step explanation:

plug 21 into the equation to get y=2/3(21)+20

Answer:

the fist one is D) 63.5

the second one is A) 32.9

i hope these are the answers you are looking for

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the right triangle with one side unknown

Use Pythagorean Theorem to find the value of x:

Answer:

x = 15

Step-by-step explanation:

use pythagorean theorem (a^2+b^2=c^2)

you have c^2 and one of the sides so you just reverse the equation and do

17^2-8^2

and that gives you 225

when you [tex]\sqrt{225}[/tex], you get 15 as your answer

Answer: The geometric mean is √24 * 32 = √768 = 16√3.

The geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Let x be the geometric mean between 28 and 32

The formula for the geometric mean:

x = √(a×b)

x = √(28×32)

x = √800

x = 20√2

x = 28.284

or

x = 28.29

Thus, the geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.

Learn more about the mean here:

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Answer:

0.00000368

Step-by-step explanation:

Answer:

610, 580, 550, 520, 490, 460, 430, 400, 370 It takes 9 months

Step-by-step explanation:

2: 1.50+x=π This problem is impossible.  This is because Pi is a number that goes for infinitiy so there is no answer for x.  This also means ∞ can also be an answer.

Answer:

1. 9

2.

Step-by-step explanation:

1. Mara has $640 in her bank account, she withdraws $30 each month. We don't know how many months will she withdraw until 370$. Let's write an expression first:

640 - 30x = 370

Now, subtract both sides by 640 to get -270:

-30x = -270

Last, divide both side by -30:

-30x = 270

x = 9

Now, we know she withdraws $30 for 9 months.

2. 2 + 4(3 - 2) = x

   This tells us that we do not know the answer until we solve it.

   2 + 4(3 - 2) = x

   2 + 12 - 8 = x

   6 = x

Answer:

(4+2)(6-2)

24+8+12-4

44-4

40

Answer:

youre welcome- have a nice day

Step-by-step explanation:

Answer:

4/5×10/3

4×2=8

1×3=3

8/3

Answer: She jump ropes 7/3 or 2 1/3 of an hour every week

Step-by-step explanation: This is because she jump ropes 1/3 each day and there's 7 days in a week so 7/3 or 2 1/3(2 hours and 20 minutes)

I hope you are having a nice day!

Answer:

2 hours 33 minutes

Step-by-step explanation:

1/3 of an hour is 20 minutes

20 times 7 is 140

140 divided by 60 is 2.33 hours

so 2 hours and 33 minutes

Answer:

The answer is 17.15! Brainliest pls :D

Answer:

C, 17.15

Step-by-step explanation:

4.9*3.5 = 17.15

Answer:

5 dollars for 1 sub

Step-by-step explanation:

y2-y1/x2-x1=unit rate

20-10/4-2

10/2

5

Answer:

[tex]a-9^{1}[/tex]

Hope that helps!

Step-by-step explanation:

Answer: [tex]a-9^{1}[/tex]

Answer:

40%

Step-by-step explanation:

4/10=.40

.40=40% as a percentage

Answer:

The slope is -1

Step-by-step explanation:

Anytime the x-intercept values have 0 in it, the y-intercept value which is below/above the x-values (Which in this case is -1) is the y-intercept.