A triangle with base 8.2 cm and height 5.1 cm has an area of.

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:

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:

-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

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.

Answer:

4 puzzles would cost $41.50

Answer:

$41.50

Step-by-step explanation:

Add the currency of your sum then subtract but double the 75%

i hope this helped :)

Answer:

15 CM

Step-by-step explanation:

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

Answer:

64 square ft^3

Step-by-step explanation:

If the side lengh is 3 then you would have 4^3 which is 64.

Answer:

64

Step-by-step explanation:

Answer:

answer is d please follow me I hope it will help you

Answer:

4n+2

Step-by-step explanation:

Answer

120 ft3

Step-by-step explanation:

Length×Width×Height

(8ft×5ft×3ft)

5×3= 15 ft

15×8= 120 ft3

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:

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:

4/5×10/3

4×2=8

1×3=3

8/3

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

your answer would be 33.

step 1

2(+14)−1(2−5)

2+28−1(2−5)

step 2 distribute

2+28−1(2−5)

2+28−2+5

step 3 then add the numbers

2+28−2+5

2+33−2

combine

2+33−2

ANSWER IS

33

Answer:

y-2=3(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-2=3(x-(-1))

y-2=3(x+1)

Answer:

m < 32

Step-by-step explanation:

m/8 < 4

m < 32

Answer:

m<32

Step-by-step explanation:

multiply both sides of the inequality by 8

[tex]8 \times \frac{m}{8} < 8 \times 4[/tex]

then, reduce the numbers with the GCF= 8

[tex]m < 8 \times 4[/tex]

Answer:

(4+2)(6-2)

24+8+12-4

44-4

40

Answer:

youre welcome- have a nice day

Step-by-step explanation:

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:

44.55

Step-by-step explanation:

I actually didn't get the right answer and I just edited it right now I'm sorry I dont have an explanation!

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:

https://brainly.com/question/22871228

#SPJ2

Answer:

5 dollars for 1 sub

Step-by-step explanation:

y2-y1/x2-x1=unit rate

20-10/4-2

10/2

5

Answer:

Rachel would need 45cm of tape to wrap 15 presents.

Step-by-step explanation:

Firstly we need to find how much is required to wrap one presnt: 18÷6=3.3cm of tape is needed to wrap one present.

Secondly to find how many she needs to wrap 15 we sinply multiply 15 by three and get 45.

I hope this helps you in any way.

Answer:

40%

Step-by-step explanation:

4/10=.40

.40=40% as a percentage

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