What is the domain and range for the function below:
y = log2 (x - 1)+4

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms

     = - 0.6(x² - 7x) + 240

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 7x

f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240

      = - 0.6 (x - 3.5)² + 7.35 + 240

     = - 0.6(x - 3.5)² + 247.35

with vertex = (3.5, 247.35 )

The maximum value is the y- coordinate of the vertex

Then

f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35

Answer:

2: add 4

3: 6

5: multiply by 2

6: 7

Step-by-step explanation:

Answer:

33π is the answer in terms of pi.

Step-by-step explanation:

Circumference of circle formula is C=πd.

Plug in the given values. We put 33 into d, because d represents diameter, and diameter is twice the radius(16.5), so we multiply 16.5 by 2. So far we have C=(π)(33).

C=(π)(33)=33π

Answer:

50 + 75 = 125

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

a right triangle is 90° so

76+(x-6)=90°

-76 -76

(x-6)=24

+6 +6

x=30

Answer:

B. Between x 2 and x 3

Step-by-step explanation:

Answer:

C 28 cm

Step-by-step explanation:

16 ÷ 8 = 2

14 × 2 = 28 cm

Answer:

Please have a look.........

Step-by-step explanation:

...............................

Answer:

x = 60° (Alternate angles)

Step-by-step explanation:

a) x = 60°

b) Reason: Alternate angles

Answer:x=60

Step-by-step explanation: all angles in a triangle add up to 180 degrees, x is the same as the angle next to it, therefore x=60 degrees

Answer:

The answer selected is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

The third one is

(10^3)^4 and equals 10^12

the 4th one is      (10*10*10*10)(10*10*10*10) or 10^8

the last one is (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10)

or 10^88

Answer:

the perimeter is 11cm and the area is 7cm^2

Step-by-step explanation:

NP =PS, meaning they have the same length. so the perimeter is 3.5 + 4 + another 3.5.

For the area imagine you cut the triangle in half. from P to the middle of NS. Put the 2 triangle halves together to form a rectangle. (PS is now touching NP). This would be a 2x 3.5 rectangle. 2x 3.5 is 7, meaning both this imagined rectangle and the triangle have an area of 7cm^2.

Answer: It’s adjacent I’ll draw what vertical is. And M is 180-106 which is 74. Adjacent means next to...

Step-by-step explanation:

Answer:

Its D hope this help byee

Answer:

It is D I got this correct on the test.

Step-by-step explanation:

Answer:

4x+7 I believe but it could be wrong

Answer:

the zero of a function is what value you can plug in and get 0 as the answer.

having a multiplicity of 3 means that the zero is there 3 times so if your zero is 2 with multiplicity 3 then (x-2)^3 is what it looks like

Step-by-step explanation:

Given:

The relation is:

[tex]\{(1, 2), (3, 5), (-2, 2), (3,6)\}[/tex]

To find:

The pair of coordinates that clarify why this relation is not a function.

Solution:

A relation is called a function if there exist unique y-value for each x-value. In other words, if a relation has two outputs for a single input, then the relation is not a function.

The given relation is:

[tex]\{(1, 2), (3, 5), (-2, 2), (3,6)\}[/tex]

This relation has two y-values 5 and 6 for a single x-value 3. Since the y-value is not unique all all values of x, therefore the relation is not a function.

Hence, the pairs of coordinates (3,5) and (3,6) clarify that the given relation is not a function.

Answer:

On the left... True

On the right... False

Step-by-step explanation:

This question is incomplete, the complete question is;

The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( University of Arizona Press). Before 1918the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theory is that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use ∝ = 0.01

Answer:

Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.

Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of female wolves is now less than ( 0.5 ) 50% in the region.

Step-by-step explanation:

Given the data in the question;

Hypothesis;

H₀ : p ≥ 0.5   { 50% }

H₁ : p < 0.5

This is a lower tailed test { H₁ : p < 0.5 }

sample size n = 34

number of female wolves x = 10

sample proportion p" = x / n = 10 / 34 = 0.2941176

claimed proportion P = 0.5

significance level ∝ = 0.01

we determine the standard deviation of p"

σ[tex]_{p"[/tex] = √[ (p(1 - p)) / n ] = √[ (0.5(1 - 0.5)) / 34 ]

= √[ (0.5 ×0.5) / 34 ]

σ[tex]_{p"[/tex] = 0.08575

Test statistics

[tex]z_{observed[/tex] = (p" - 0.5) / σ[tex]_{p"[/tex]

[tex]z_{observed[/tex] = (0.2941176 - 0.5) / 0.08575

[tex]z_{observed[/tex] = -2.40

so

Test statistic : -2.40  

Since its a lower tailed test;

P-value = P( Z < [tex]z_{observed[/tex] ) = P( Z < -2.40 ) = 0.0082

Rejection criteria: Reject H₀ if p-value < ∝

Decision:

Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.

Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of of female wolves is now less than ( 0.5 ) 50% in the region.

Answer:

right

Step-by-step explanation:

s

a

k

+

1

=

a

k

+

2

and

a

1

=

6

a

2

=

a

1

+

2

=

6

+

2

=

8

a

3

=

a

2

+

2

=

8

+

2

=

10

a

4

=

a

3

+

2

=

10

+

2

=

12

and

a

5

=

a

4

+

2

=

12

+

2

=

14

and hence first five terms are

{

6

,

8

,

10

,

12

,

14

}

As

a

k

+

1

=

a

k

+

2

, each term is

2

more than previous term

it is an arithmetic sequence with first term as

a

1

and common difference

d

and hence

n

t

h

term is

a

n

=

a

1

+

(

n

−

1

)

d

and hence

n

t

h

term of the sequence is

a

n

=

6

+

(

n

−

1

)

×

2

=

6

+

2

n

−

2

=

2

n

+

4

there is a right angle and a acute angle. the mesurement of the missing angle is 62° and the right angle is 90°

Answer:

the answer is 62

Step-by-step explanation:

let me guess your teachers have lanschool air?

Answer:

Angle J and angle MJK or maybe right angle....

These are the three ways...

Hope it helps

Step-by-step explanation:

Answer:

Yes it had two circular bases and a curved lateral surface.

Step-by-step explanation:

Answer:

yes it doesn't

Step-by-step explanation:

hope dis helps

Answer:

9.5 or 9 1/2

Step-by-step explanation:

if their is a remainder ur answer is

9^r1

Answer:

Step-by-step explanation:

so you need to do 8.32 x 10=83.2

Answer:

Step-by-step explanation:

If we assume there is such a proportion, then we have the proportion:

For 5 year old we have:

For 20 year old:

For 60 year old:

In reality this proportion doesn't make sense as 60 year old normally eats less than 20 year old.

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Geometric Progression.

So, we know that,

GP = a.r^(n-1)

here, a = 4 and r = -2

so we get as,

an = 4.(-2)^n-1

Option B.) is correct

Answer:

960

Step-by-step explanation: