Identify the domain of the function shown in the graph.
5
O A. -1 5x53
O B. 25x37
Ο Ο Ο
O C. All real numbers
D. X23

Answer:

The number of subsets of a set containing 10 elements is 2^10=1024.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x be the length and y be the width

The length is 1 inch longer than the width

So : x-1 =y

●●●●●●●●●●●●●●●●●●

The diagonal is 5 inches

The diagonal, width and length are forming a right triangle where the diagonal is the hypotenus

The Pythagorian theorem:

x^2 + y^2 = 5^2

●●●●●●●●●●●●●●●●●●●●●●●

Let's calculate y the width

The system is :

x-1 = y => x =y+1

x^2 + y^2 = 25

Replace x in the second equation with y+1 :

(y+1)^2 + y^2 = 25

y^2 + 2y + 1 + y^2 = 25

2y^2 + 2y +1 = 25

2y^2 + 2y -24 = 0

This is a quadratic equation so we will use the discriminant

●●●●●●●●●●●●●●●●●●●●●●

the discriminat is b^2-4ac

● b =2

● a = 2

● c = -24

b^2 -4ac = 4-4*2(-24) =196 > 0

Since the dicriminant is positive this equation has two solutions y and y'

y = (-2-14)/4 = -16/4 = -4

y '= (-2+14)/4 = 12/4 = 3

The first solution is negative

A distance is always positive so the first solution can't be the width

Then the width is 3

Answer:

[tex]g(x)=\sqrt[3]{x-1}[/tex]

[tex]h(x)=\sqrt[3]{x}-1[/tex]

Step-by-step explanation:

Graph represents the parent function

[tex]f(x)=\sqrt[3]{x}[/tex]

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From the the given graph it is clear that graph A shifts 1 unit right to get the graph B. So, a=-1, b=0.

[tex]g(x)=\sqrt[3]{x-1}[/tex]

From the the given graph it is clear that graph A shifts 1 unit down to get the graph C. So, a=0, b=-1.

[tex]h(x)=\sqrt[3]{x}-1[/tex]

Therefore, the required functions are [tex]g(x)=\sqrt[3]{x-1}[/tex]  and [tex]h(x)=\sqrt[3]{x}-1[/tex].

Answer:

i

Step-by-step explanation:

The pattern is as follows

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

Following this pattern, i^45 = i.

The value of the expression [tex]i^{45[/tex] is equal to i

Complex numbers are the square root of negative numbers. For instance:

[tex]\sqrt{-1} = i\\i^2 = -1[/tex]

Given the complex number:

[tex]i^{45}\\= (i^2)^{22} \times i\\= (-1)^{22} \times i[/tex]

Since any value raise to the even values will give a positive value hence;

[tex]=(-1)^{22} \times i\\=1 \times i\\= i[/tex]

This shows that the value of the expression [tex]i^{45[/tex] is equal to i

Learn more here: https://brainly.com/question/12769464

Answer:

A

Step-by-step explanation:

Using the recursive formula with a₁ = 5 , then

a₂ = 2a₁ - 7 = 2(5) - 7 = 10 - 7 = 3

a₃ = 2a₂ - 7 = 2(3) - 7 = 6 - 7 = - 1

a₄ = 2a₃ - 7 = 2(- 1) - 7 = - 2 - 7 = - 9 → A

Answer:

Picture of the problem please?

Step-by-step explanation:

Answer:

The humid pig is 210 millimeters longer.

Step-by-step explanation:

Naomi fish= 40 millimeters

Humid pig = 25 centimeters

1 centimeter is equal to 10 millimeters.

Naomi fish - 40 millimeters

Humid pig- 250 millimeters

To find how much lobger the humid pig is subtract 40 from 250.

250-20 = 210

210 millimeters longer.

Answer:

Step-by-step explanation:

we know that

Answers in cm

we know that

Naomi's fish is 40 millimeters long

convert to centimeters

and

her guinea pig is 25 centimeters long

Find the difference

so

The guinea pig  is  much longer than her fish

Answers in mm

we know that

Naomi's fish is 40 millimeters long

and

her guinea pig is 25 centimeters long

convert to millimeters

Find the difference

so

The guinea pig  is  much longer than her fish

Answer:

We decreased by 37%

Step-by-step explanation:

Let x be the starting temperature

We decrease by 10 percent which means we are left with 100-10 =90 percent

.90 x

Then we decrease by 30 percent, 100 - 30 = 70

( .90x) * .70

.63x

We  have .63 of the original left or 63%

100 -63 = 37

We decreased by 37%

Answer:

37% and it decreased

Step-by-step explanation:

Answer:

8x+8=7x

Step-by-step explanation:

The variable is supposed as x where ever the exact number is not mentioned.

n*8 + 8 = n*7 --> the answer must be n = -8 because:

8n + 8 = 7n

8n - 8n + 8 = 7n - 8n

8 = -1n

-8 = n

Answer:

The last one

Step-by-step explanation:

The zeros of a function f(x) are the values of x such that f(x)=0. Since the coordinate y equals f(x), we must look for the values where y=0 (x-intersect).

Since f(x) is factorized, f(x)=0 only when one of its factors equals zero.

So we have

f(x) = 0 ===> x+2 = 0 OR x+1 = 0 OR x+4 = 0

and we have

x = -2 or x = -1 or x = -4

Hence the function must intersect the x-axis at these points.

The only graph that matches the requirements is the last one.

If I'm wrong I'm so sorry!

If I'm right Thank you and (Brainliest plz)

Answer:

if the ? is suppose to be a + then the answer is : 67278106

Step-by-step explanation:

Answer:

  infinitely fast

Step-by-step explanation:

To have double the average speed, he must complete the two laps in the same amount of time that he spent completing the first lap. That is, he must complete the second lap in zero time.

Hamilton's average speed for the second lap should be infinite. (He needs to finish it in zero time.)

_____

  speed = distance/time

Multiplying by 2, we get ...

  2×speed = 2×distance/time . . . . . the time hasn't changed

Answer:

1 zero:  Answer C

Step-by-step explanation:

Keep in mind that the polynomial value is zero at any root.  Therefore each point that is a root must lie precisely on the x-axis (where y = 0).  In the graph given there is only one such point  (Answer C)

Answer:

8x+11

Step-by-step explanation:

This problem can be solved by using distributive property.

if there is expression  a(b + c).

then by distributive property.

a(b + c). = ab + ac

given problem

3(2x+1) + 2(x+4)

by using distributive property.

=>3*2x + 3*1 + 2*x + 2*4

=> 6x + 3 + 2x + 8

adding term containing x together and constant term together

=> 8x + 11

Thus, solution is 8x+11

Answer:

The number of non-congruent triangles that can be formed by connecting 3 of the vertices of the cube is 3 non-congruent triangles

Step-by-step explanation:

From the three dimensional shape of a cube, triangles can be constructed from;

1) 6 side faces

2) 4 front face to opposite vertices triangles

3) 4 rear face to opposite vertices triangles

Each face can produce ₄C₃ = 4 triangles

Therefore;

The total number of triangles that can be formed = 4 × 6 + 4 × 4 + 4  × 4 = 56 triangles

Of the 56 triangles, it will be found that all 24 triangles from the different 6 direct faces will have the same dimension of 1, 1, √2 are congruent

The 24 triangles formed by the sides of the faces and an adjacent diagonal have the same dimension of 1, √2, √3 and are congruent

The 8 triangles formed by joining the three diagonals have the same dimension of √2, √2, √2 are congruent

Therefore, the 56 triangles comprises of a combination of three non-congruent triangle.

There are only 3 observed non congruent triangles formed by connecting three of the vertices of the cube.

Answer:

Answer is 3, i had it for homework

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. DE = DF (Def of midpoint)

2. EB = EB (Reflexive)

3. <DEB is congruent to <FEB

3. EB is a transversal- alternate interior angles are congruent

4. SAS

4. SAS theorem states that two triangles are equal if two sides and the angle between those two sides are equal.

Answer:

B) 122 degrees.

Step-by-step explanation:

Consider the kite :- the 2 angles at the tangents are 90 degrees so we have:

9x - 5 + 14x + 24 + 90 + 90 = 360

9x - 5 + 14x + 24  = 180

23x + 19 = 180

23x = 161

x = 7

So the obtuse angle = 14(7) + 24

= 98 + 24

= 122 degrees.

Answer:

7x+10 cm

Step-by-step explanation:

To find the perimeter add up all the sides

There are 5 sides

3x+ 5+ 2x+2x+5

Combine like terms

3x+2x+2x   +5+5

7x + 10

The perimeter is 7x+10 cm

Answer:

B) 2775.9

Step-by-step explanation:

The missing options are:

A) 578

B) 2775.9

C) 134.591

D) 31.757

The digit 5 is in the tenths in 4.59. This means that its value is 0.5. A value 10 times greater is 10*0.5 = 5, that is, a 5 in the ones, like in 2775.9.

Answer:

(a) Local Maximum (x,y) = (0,12)

    Local Minimum (x,y) = (-9,6) (smaller x-value)

    Local Minimum (x,y) = (6,3) (Larger x-value)

(b) Increasing = [tex](-9,0)\cup (6,\infty)[/tex]

    Decreasing = [tex](\infty,-9)\cup (0,6)[/tex]

Step-by-step explanation:

(a)

Local Maximum: The function gives maximum value in small neighborhood.

From the given graph it is clear that the maximum value of the function is 12 at x=0. So,

Local Maximum (x,y) = (0,12)

Local Minimum: The function gives minimum value in small neighborhood.

It is clear that the minimum value of the function is -6 and 3 at x=-9 and x=6. So,

Local Minimum (x,y) = (-9,6) (smaller x-value)

Local Minimum (x,y) = (6,3) (Larger x-value)

(b)

The function is increasing on -9<x<0 and after 6.

Increasing = [tex](-9,0)\cup (6,\infty)[/tex]

The function is decreasing on 0<x<6 and before -9.

Decreasing = [tex](\infty,-9)\cup (0,6)[/tex]

Answer:

Step-by-step explanation:                  

                                                                       9

The given function may be reduced to -------------- , x ≠ 0 because we cannot

                                                                  x^2 - 49  

division by zero in the original form of the function is undefined.  Furthermore, x cannot be either ±7, for the same reason.

Thus, the domain of this function h(x) is {x ≠ 0, x ≠ ±7}

Answer:

90

Step-by-step explanation:

-((-7) + 4 × (-12) + (-3) × 11 + (-2))

-(-7 + 4 × (-12) + (-3) × 11 + (-2))

-(-7 - 48 - 33 - 2)

-(-90) → 90

Final Answer - 90

Hope this helped! :)

Answer:

90

Step-by-step explanation:

Recall Order of Operations rules that require that computations inside parentheses must be done first.  Next, multiplication be done before addition or subtraction.  

-((-7) +(4)(-12)+(-3)(11)+(-2))  can be re-written as

-            ((-7) +(4)(-12)+(-3)(11)+(-2)), which in turn becomes:

-( -7 - 48 - 33 - 2 ), or

-( -55 - 35), or

- (-90), or 90

Answer:

C

Step-by-step explanation:

Hello

The point (2,1) is on he graph of g

which means that g(2)=1

for A g(2)=2*4=8

for B g(2)=1/(2*2)

for C g(2)=1

for D g(2) =4/2=2

for the correct answer is C

Hope this helps

Answer:

m=2

Step-by-step explanation:

When you put a number into the inverse of a function (f^-1) you get the original number back.

Ex: f^-1(11) = (11-3)/2 = 4

f(4) = 2×4+3 = 11

So, f(-5)=-2

So, when x is -5,

f(x) = -2

f(x)=m(-5)+8

-2=m(-5) + 8

m=2

Answer:

there ARE NO AXES

Step-by-step explanation:

Answer:

A. Interquartile

Step-by-step explanation:

Answer:

A: interquartile range

Step-by-step explanation:

edg2020

Answer:

2.35 m²

Step-by-step explanation:

Divide the shape into shapes you can calculate the area of: a rectangle with a semi-circle on top, minus a square.

1. Calculate the area of the rectangle. Formula for area of a rectangle is length · width

1 m · 2 m = 2 m²

2. Calculate the area of the semi-circle. Formula for a semi-circle is [tex]\frac{\pi r^{2} }{2}[/tex] (use 3.14 for π) (radius is equal to half the diameter)

3.14(0.5)² = 0.785

0.785 ÷ 2 = 0.3925 m²

3. Combine the total area

2 + 0.3925 = 2.3925

4. Calculate the area of the square that will not be painted. Formula for area of a square is s² (side · side)

0.2² = 0.04 m²

5. Subtract the area of the square from the total area

2.3925 - 0.04 = 2.3525

2.3525 rounds to 2.35 m²

Answer:

[tex]\alpha=1-0.98 =0.02[/tex]

And [tex]\alpha/2 0.01[/tex], the degrees of freedom are given by:

[tex] df= n-1= 25-1=14[/tex]

Then the critical value using the t distribution with 24 degrees of freedom is:

[tex] t_{\alpha/2}= \pm 2.492[/tex]

And the best solution would be:

0 -2.492

Step-by-step explanation:

For this problem we know that the sample size is n = 25. The confidence level is 98% or 0.98 then the significance would be:

[tex]\alpha=1-0.98 =0.02[/tex]

And [tex]\alpha/2 0.01[/tex], the degrees of freedom are given by:

[tex] df= n-1= 25-1=14[/tex]

Then the critical value using the t distribution with 24 degrees of freedom is:

[tex] t_{\alpha/2}= \pm 2.492[/tex]

And the best solution would be:

0 -2.492

Answer: 35/24 is the answer for the first part only.

Use calculator soup on google search to answer the rest.

Step-by-step explanation:

Answer:

Step-by-step explanation:

We khow that the equation of a circle is written this way :

(x-a)²+(y-b)²=r² where (x,y) are the coordinates of the cercle's points and (a,b) the coordinates of the cercle's center and r the radius .

Our task is to khow the values of a and b :