Which statement best describes f (x) = negative 2 StartRoot x minus 7 EndRoot + 1?

–6 is in the domain of f(x) but not in the range of f(x).

–6 is not in the domain of f(x) but is in the range of f(x).

–6 is in the domain of f(x) and in the range of f(x).

–6 is neither in the domain of f(x) nor in the range of f(x).

Answers

Answer 1

Answer:

Option B.

Step-by-step explanation:

The given function is

[tex]f(x)=-2\sqrt{x-7}+1[/tex]

The above function is defined if (x-7) is greater than 0.

[tex]x-7\geq 0[/tex]

Add 7 on both sides.

[tex]x\geq 7[/tex]

It is means domain of the function is [tex][7,\infty)[/tex]. So, -6 is not in domain.

We know that

[tex]\sqrt{x-7}\geq 0[/tex]

Multiply both sides by -2. So, the sign of inequality will change.

[tex]-2\sqrt{x-7}\leq 0[/tex]

Add 1 on both sides.

[tex]-2\sqrt{x-7}+1\leq 0+1[/tex]

[tex]f(x)\leq 1[/tex]

It is means range of the function is [tex](-\infty,1][/tex]. So, -6 is in Range.

Since –6 is not in the domain of f(x) but is in the range of f(x), therefore the correct option is B.

Answer 2

Answer:

B

Step-by-step explanation:


Related Questions

Find the missing factor

Answers

Answer:

The missing factor is (9s+1)

Step-by-step explanation:

The missing factor is (9s+1) because of the following

(9s^2 + s) + (18s+2)

If we factor out s from 9s^2+s, we get s(9s+1).

If we factor out 2 from 18s+2, we get 2(9s+1)

putting these together, we get s(9s+1) + 2(9s+1). Factoring out the common term of 9s+1, we get (9s+1)(s+2). therefore, the missing factor is 9s+1

A carton contains 20 shirts , of which q are made of pure cotton. After 4 more pure cotton shirts are added to the carton, the probability of drawing a pure cotton shirt becomes 3/4 , find the value of q.

Answers

Answer:

The value of q = 11

Step-by-step explanation:

Number of pure cotton shirts = [tex]\frac{4+q}{20}[/tex]

Probability of drawing pure cotton shirts = [tex]\frac{4+q}{20}[/tex] = [tex]\frac{3}{4}[/tex]

Substituting the above problem = 4(4 + q) = 3 x 20

                                                     =  16 + 4q = 60

                                                     = 4q = 60 - 16 = 44

                                                     = q = [tex]\frac{44}{4}[/tex]

∴ q = 11

What is the equation for ⨀C?

Answers

Answer:

A

Step-by-step explanation:

r^2 = (x - k)^2 + (y - h)^2

Answer: Choice A. (x-2)^2 + (y+2)^2 = 16

Work Shown:

(h,k) = (2,-2) is the center. So h = 2 and k = -2

r = 4 is the radius. We go 4 units from the center C to point P

Therefore,

(x-h)^2 + (y-k)^2 = r^2

(x-2)^2 + (y-(-2))^2 = 4^2

(x-2)^2 + (y+2)^2 = 16

what is 2y to the power of 4 times 5y to the power of 5

please help 12 points reward

Answers

Answer:

50000y^9.

Step-by-step explanation:

(2y)^4 * (5y)^5

= 2^4 y^4 *  5^5 y^5

= 16y^4 * 3125y^5

= 50000y^9.

which is the right answer because i am in the middle of two and can not dicide which to chose

Answers

Answer:

XZ

Step-by-step explanation:

Line segments are straight lines, not curves.

The only line is XZ, the rest are arcs

Answer:

Step-by-step explanation:

I believe that it’s yz

Explain the difference between perimeter and area. What do they measure? What types of units are they measured in? NEED ANSWER STAT!!!!!

Answers

First the difference between the perimeter and area is that area is the amount of space inside a shape, and perimeter is the distance around the shape
^thats what they measure
And since perimeter is a length or distance, the unit of measure is inches, feet, yards, or miles. The area is usually found by doing l x w
Hope this helped


In the barn, there are horses and chickens. There are 11 heads and 32 legs altogether. How many chickens are there?

A. 6
B. 5
C. 4
D. 3

Answers

Answer:

6 Chickens

Step-by-step explanation:

Let  H represent the number of horses and  C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:

2C  +  4 H  =  32     (Eq. 1)

Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:

C  +  H  =  11    (Eq. 2)

From Eq. 2, solve for the number of chickens:

C  +  H  =  11

C   =  11  - H    (Eq. 3)

Substituting Eq. 3 in Eq. 1, the number of horses can be determined:

2 C  +  4 H  =  32

2 ( 11  −  H )  +  4 H  =  32

22   −  2 H  +  4 H  =  32

2H  =  32  − 22

2 H  = 10

H = 5               Eq.4

Putting Eq.4 in Eq.1

2C + 4*5 =  32

2C = 32 - 20

2C = 12

C = 12/2

C = 6

I need help ASAP!!!!

Answers

Answer:

look on symbolab got my answer from there'

Step-by-step explanation:

Exactly 1 1/3 yard of ribbon is needed to make a bow. Which of the following lengths of ribbon could be used to make a bow with the least amount remaining?

Answers

The answer choice which could be used to make a bow with the least amount remaining is; 1 2/5 yards.

Which Length of ribbon renders the least remainder?

It follows from the task content that the amount of ribbon remaining in each case can be evaluated as follows;

For 1 2/5 yards: 1 2/5 - 1 1/3 = 1/15. renders only 1/15 a yard to waste.

For 1 and 1/6 yards would render a waste of 1 1/6 yards since it is not possible to make a ribbon out of it.

1 2/10 yards would render a waste of 1 and 1/5 yards since it is not possible to make a ribbon out of it.

Read more on fractions;

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please help!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

C is the correct answer because the other 3 points are not correct when you put the numbers into the equation.

y = 16 + 0.5x

20 = 16 + 0.5(8)

20 = 20

the answer is indeed c!!!

The range of which function is (2,00)?

Answers

Answer:

the range of the function is ∞

A) 15

B) 25

C) 40

D) 60

Answers

Answer:

may be 25

idk the real but might be 25

Step-by-step explanation:

find the area of a rectangle with a width of 16 centimeters and a length of 55 centimeters

Answers

Answer:

The area of the rectangle is 880 cm

Step-by-step explanation:

Lenght = 55cm

Breadth/width=16cm

Area of rectangle= lenght×breadth

Area= 55×16

Area= 880

Hence, area of rectangle is 880cm

P.S - Mark me as the brainliest :D

If you wanted to build a raised garden bed that was 4ft by 4 by 1
How many bags of dirt do you need to fill it right up to the top.The dirt comes in 0.75 cubic feet per bag

Answers

Answer:

22 bagssss i am right because i did 4 time 4 times 1 and got 16 and then i divided that by 0.75 and got 21.33333 and since you can't get a 0.3333333 of a bag you have to get one extra so it would be 22

Step-by-step explanation:

11x+5y=9
11x+3y=1
It's simutanios equation substitution​

Answers

Answer:

(-1, 4)

Step-by-step explanation:

11x+5y=9

11x+3y=1

subtract side-by-side

5y-3y= 9-12y=8y=411x+20=911x= -11x=-1

How many cubes are needed to build the base of this structure?
A.6
B.3
C.5
D.4

Answers

Answer: C.5

The answer is 5.

Why is there a twenty character minimum on brainly? what a stupid idea

I agree with the other person. The answer is C 5 which can be shown in the diagram below.

The red outlines mark these blocks. Note that the upper two red blocks in the far right portion are underneath a set of blocks that are on the second story of this "building" of sorts.

Find the smallest whole number by which 396 should be divided so as to get a perfect square numberPLS FAST ...............

Answers

Answer:

11

Steps:

Find the prime factores of 396.

These are 2x2x3x3x11.

Circle all the pairs and pick out the one that does not have a pair. In this case it is 11.

You can either multiply 396 by 11 or divide by 11 to make it a perfect square.

Since the question asks for divide. It’s 11

Hope this helps.

Good Luck

Answer:

Step-by-step explanation:

Prime factorize 396

396  = 3 * 3 * 2 * 2 * 11

       = 3² * 2² * 11

So, to make 396 a perfect square, divide 396 by 11

396÷11 = 36 is a perfect square

PLEASE HELP - PLEASE SHOW WORK Given the following functions, find each of the values: f(x)=x^2−7x+6 g(x)=x−1 (f+g)(−5)= ______ (f−g)(4)= ______

Answers

Answer:

(f+g)(-5) = 60(f-g)(4) = -9

Step-by-step explanation:

These are the values we will need:

  f(-5) = (-5)^2 -7(-5) +6 = 25 +35 +6 = 66

  f(4) = 4^2 -7(4) +6 = 16 -28 +6 = -6

  g(-5) = -5 -1 = -6

  g(4) = 4 -1 = 3

__

(f+g)(-5) = f(-5) +g(-5) = 66 +(-6)

(f+g)(-5) = 60

__

(f-g)(4) = f(4) -g(4) = -6 -3

(f-g)(4) = -9

A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38, 500). If equal elemental probabilities are assigned, what is
the probability that the number chosen is either less than 29 or odd?

Answers

Answer:

[tex]\frac{7}{9}[/tex] OR 77.78%

Step-by-step explanation:

So, we first need to find out how many numbers fit the "less than 29 or odd" group.

This would be: 1, 2, 3, 5, 15, 21, and 29, which is a total of 7 numbers.

Next, we figure out the total amount of numbers in the population.

This would be: 1, 2, 3, 5, 15, 21, 29, 38, and 500, which is a total of 9 numbers.

Finally, we put the first number (7) over the total (9) = [tex]\frac{7}{9}[/tex]

[tex]\frac{7}{9}[/tex] is now able to be written in a percentage, if you need.

The probability is [tex]\frac{7}{9}[/tex] OR 77.78%

Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is negative 9. The distance between point A and point B is 15 units. What are the possible coordinates of point​ A?

Answers

Answer:

(-9,9) or (-9,-7) are the possible coordinates

Step-by-step explanation:

We can use the formula for the distance between two points to get this

Mathematically, this can be;

d = √(x2-x1)^2 + (y2-y1)^2

Now let our point A be (x1,y1) = (-9,n)

let’s say y1 is n for now

For point B, we have (x2,y2) = (3,2)

and our d is 15 units

Inputing the values, we have

15^2 = (3+9)^2 + (2-n)^2

225 = 144 + (2-n)^2

225-144 = (2-n)^2

(2-n)^2 = 81

(2-n) = √(81)

2-n = -9

or 2-n = 9

n = 11 or n = -7

Now the possible coordinate values of point A are;

(-9,9) or (-9,-7)

Answer:

Step-by-step explanation:The distance between points is given by the following equation:

 d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)

 Substituting we have:

 15 = root ((- 9 -3) ^ 2 + (a-2) ^ 2)

 We clear the value of a:

 (15) ^ 2 = (root ((- 12) ^ 2 + (a-2) ^ 2)) ^ 2

 225 = (- 12) ^ 2 + (a-2) ^ 2)

 Rewriting:

 225 = 144 + (a-2) ^ 2

 225-144 = (a-2) ^ 2

 81 = (a-2) ^ 2

 a-2 = +/- root (81)

 a = +/- 9 + 2

 The possible values are:

 a1 = 9 + 2 = 11

 a2 = -9 + 2 = -7

 Then, the possible coordinates of point a are:

 (-11, 11)

 (-11, -7)

 Answer:

 the possible coordinates of point a are:

 (-11, 11)

 (-11, -7)

a family of 8 has 3 of them being males what proportion of the family is female​

Answers

Answer: not very sure but i think that may be 5

Step-by-step explanation:

I think it is 5 idk I could be wrong

someone do this thanks

Answers

Answer:

2

Step-by-step explanation:

12-2= m(2+3)

m= 10/5=2

You are given the steps for constructing the bisector of an angle using a compass and a straightedge. Arrange the steps in the correct sequence

Answers

Step-by-step explanation:

position your compass at point A and using the same distance mark arcs on line AB(mark the point it meets the line D)and AC(mark the meeting point of the arc and the line E).Place your compass at D and draw an arc at the middle of the angle,using the same measurements position your compass at point E and draw an arc.Where the two arcs meet label F using a ruler draw a straight line from F to meet point A.

Note;the width of the compass when making the arcs should be the same always

1)If the coefficient of anyone of the variables is zero, what will be the nature if the equation? 2)What is a solution of a system of equations?

Answers

Answer:

1) If the coefficent of any variable is zero then the answer of the variable is 0.

2) There are two answers in a system of equations.

What is the measure of < B, in degrees?

Answers

Answer:

B. 32°

Step-by-step explanation:

Since two of the sides are 10 in length, then we can infer that ∠A and ∠C are congruent. So, both equal 74°. You add 74 + 74 + x = 180, x would equal 32°.

Answer:

B

Step-by-step explanation:

sum of angle in triangle is 180

and since its isosceles triangle, it means <C will be same with <A

so we know that A + C = 148.

so the value of B will be like this

B = 180° - (A+C)° = 180 - 148 = 32°

The science club is experiencing a growth in membership. On average, they are
seeing 2 new members sign up each week. If they started with 10 members which
function, S(x), represents the number of members in the science club after x weeks?

Answers

Answer:

S(x)= 10+2^x

Step-by-step explanation:

The correct function which represents the number of members in the science club after x weeks is,

S (x) = 10 + 2ˣ

We have,

The science club is experiencing a growth in membership.

On average, they are seeing 2 new members sign up each week.

Here, they started with 10 members.

Hence, The function S (x) which represents the number of members in the science club after x weeks is,

S (x) = 10 + 2ˣ

Where, x is number of weeks.

Therefore, The function is,

S (x) = 10 + 2ˣ

Learn more about the function visit:

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Explain why the initial value of any function in the form of F(x)=a(b^x) is equal to a

Answers

Answer:

When comes to initial value, x is equals to 0.

So x = 0 is substitute into the function.

In Indices Law, any values to the power of 0 will be 1.

So the initial value of function will be :

[tex]f(x) = a( {b}^{x} )[/tex]

[tex]f(0) = a \times {b}^{0} [/tex]

[tex]f(0) = a \times 1[/tex]

[tex]f(0) = a[/tex]

HELP ME PLEASE WHAT IS THE ANSWER OF THE FRACTIONS

Answers

-2 1/5

at least I think so lol

I. Choose the correct answer from the given alternatives

1. Which of the following is not an identity?

A. Sin2 + Cos2 = 1

B. Sin = tan.cos

C. 1 + cot2= cos2

D. 1 – sec2 = tan2

2. The exact value of cot (-8550) is ________?

A. 2 B. 1 C. -1 D. 0

3. Which one of the following is necessarily true?

A. Any rectangle is a square

B. Any rhombus is a square

C. Any square is a rectangle

D.Any a parallelogram is a rhombus

4. If the two diagonals of the quadrilateral bisect each other, then

the quadrilateral is necessarily

A. Square B. rhombus C. parallelogram D. Rectangle

5. The angle of deperession of aPt A, as measured form the top of

abuilding 30m tall is 450, how far is A from the basc of the

building?

A. 97m B. 30m C. 45m D. 32m

6. Which of the following is negative?

A. Cos(-890)

B. Tan(-1200)

C. Sin (1200)

D.Sin (-890)

7. If 300 and 450 are respectively the angle of elevation of the foot

and the top of a television antenna on the top of 100meter tall

building then the total height of the antenna from the ground

is ______________?

A. 100√3m B. 120m C. 150m D. 120√3

8. If A(-2, 3) , B(-2, -7) and c(-4, 5) are the three vertices of a

triangle. What is the Pt at which the medians intersect?

A. (3, -3) B. (-3, 3) C. (1, -2) D. (0, -3)

9. What is the periemeter of a rhombus whose diagonal are 16

and 30 units?

B. 68 unit B. 92 unit C. 46 unit D. 42 unit

10. Which of the following can never be the mesure of each

exterior angle of regular polygon?

A. 150 B. 200 C. 250 D. 300​

Answers

Answer:

1. C. 1 + cot²θ = cos²θ

D. 1 - sec²θ = tan²θ

2. D. 0

3. C. Any square is a rectangle

4. C. Parallelogram

5. B. 30 m

6. A. cos(-890°) is Negative

Sin(-890°) is negative

7. A. 100·√3 m

8. [tex]\left (\dfrac{-8}{3} , \dfrac{1}{3} \right )[/tex]

9. First option, A. 68 unit

10. A. 150

Step-by-step explanation:

1. C. 1 + cot²θ = cos²θ

The correct identity is given as follows;

1 + cot²θ = csc²θ

Also

D. 1 - sec²θ = tan²θ

The correct identity is given as follows;

1 - sec²θ = -tan²θ

2. cot(-8550)

We convert -8550 to degrees by dividing by 360 and multiplying the remaining fraction by 360 as follows;

[tex]\dfrac{-8550}{360} = -23\dfrac{3}{4}[/tex]

Therefore, -8550 ≅ -3/4×360 = -270

-270 ≅ 360 - 270 = 90°

Therefore, cot(-8550) = cot(90) = 1/(tan(90)) = 1/∞ = 0

Therefore, the correct option is the option D. 0

3. The correct option is any square is a rectangle as a square (a rectangle with all sides equal) is a subset of the set of rectangles

The correct option is C. Any square is a rectangle.

4. Where the diagonals bisect each other, we have a shape where the two opposite triangle areas across the bisector are equal

Therefore, the quadrilateral is necessarily a C. Parallelogram

5. Where by the angle of depression = 45°

Therefore, the angle of elevation = 45° (Alternate angles)

The height of the building = 30 m

Therefore, tan(45°) = (30 m)/(Distance of point A from the building) = 1

∴ The distance of point A from the building = 30 m

The correct option is therefore;

B. 30 m

6. A. -890° = 190° which is in the second quadrant

Therefore, cos(190°) = Negative

B. -1200° = -120° = 240 which is in the third quadrant

Hence, tan(-1200) = tan(240) is positive

C. Sin(1200) = Sin(120) which is in the second quadrant

Hence, sin(1200) is positive

D. Sin(-890°) = Sin(190°) which is in the third quadrant

Hence, sin(-890) is negative

7. The distance from the wall where the measurement is taken = 100/(tan(30)) = 100·√3 = 173.21 m

The total height of the antenna from the ground = 173.21 × tan(45) = 100·√3 m

The total height of the antenna from the ground is 100·√3 m

The correct option is therefore;

A. 100·√3 m

8. The coordinates of the point of intersection of the medians is given by the relation;

[tex]Centroid = \left (\dfrac{x_{1}+x_{2}+x_{3}}{3} , \dfrac{y_{1}+y_{2}+y_{3}}{3} \right )[/tex]

Where:

x₁, y₁ x₂, y₂, x₃, y₃ are the coordinates of the vertices

We therefore have;

[tex]Median \, point= \left (\dfrac{(-2) +(-2)+(-4)}{3} , \dfrac{3+(-7)+5}{3} \right ) = \left (\dfrac{-8}{3} , \dfrac{1}{3} \right )[/tex]

9. The perimeter of the rhombus = 4×√(First diagonal)/2)

[tex]The \, perimeter \, of \, the \, rhombus = 4\times \sqrt{\left (\dfrac{First \, diameter}{2} \right )^{2}+ \left (\dfrac{Second \, diameter}{2} \right )^{2}}[/tex]

[tex]= 4\times \sqrt{\left (\dfrac{16}{2} \right )^{2}+ \left (\dfrac{30}{2} \right )^{2}} = 68 \ unit[/tex]

The correct option is A. 68 unit

10. The exterior angle of a regular polygon > 180°, therefore, the correct option is A. 150

a card is drawn at random from a pack of 52 playing cards. find the probability tht the card drawn is neither an ace nor a king

Answers

Answer:

[tex]\frac{11}{13}[/tex]

Step-by-step explanation:

There are 4 aces and 4 kings.

[tex]\frac{8}{52} =\frac{2}{13}[/tex]

Now just subtract that from 1.

[tex]\frac{11}{13}[/tex]

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