1. Find the value of x

A. 18
B. 36
C. 25
D. 50

Answer:

option D

Step-by-step explanation:

Clearly from the graph we say that at x = 4 and  x = -6, f(x) = 0

Now we will check this with your options.

A) f(x) = (x + 1 )² - 5

     at x = 4, f(x) = 25 - 5 = 20 ≠ 0 ; not A

B)  f(x) = x - 5

    at x = 4, f(x) = 4 - 5 = 1 ≠ 0 ; not  B

C) f(x) = (x + 1 )³ - 5

     at x = 4 , f(x) = 125 - 5 = 120 ≠ 0 ; not C

D) f(x) = | x + 1 | - 5

    at x = 4 , f(x) = | 4 + 1 | - 5

                        = 5 - 5 = 0    ; satisfies

    at x = -6 , f(x) = | - 6 + 1 | - 5

                         = | - 5 | - 5

                         = 5 - 5 = 0  ; D satisfies  [ | - a | =a , absolute value function ]

Answer:

114

Step-by-step explanation:

The question relates to the sum of an arithmetic progression, A. P.

The count of numbers added, n = 50

The sum of the numbers, Sₙ = 3,250

The formula for the sum of an A. P. is given as follows;

[tex]S_n = \dfrac{n}{2} \left[2 \cdot a + (n - 1)\cdot d\right][/tex]

[tex]S_n = \dfrac{n}{2} \left[a + a_n\right][/tex]

Where;

a = The first term of set of numbers

d = The common difference between consecutive numbers

n = The number of terms = 50

aₙ = The last term, the largest of the integers

Therefore, we get;

The common difference of consecutive even integers numbers, d = 2

Plugging in the values gives;

3,250 = (50/2) × (2·a + (50 - 1) × 2) = 25 × (2·a + 49 × 2)

2·a = (3,250/25) - 49 × 2 = 32

a = 32/2 = 16

From  [tex]S_n = \dfrac{n}{2} \left[a + a_n\right][/tex], we have;

3,250/25 = 16 + aₙ

aₙ = 3,250/25 - 16 = 114

The largest of the integers, aₙ = 114.

Answer: 0.36

Hope this helps...

Have a great day.

Answer:

B

Step-by-step explanation:

Add both sides of the equation by 7, which satisfies the definition of the addition property of equality.

Step-by-step explanation:

I don't know whether this is correct or not

Answer:

x = 2[tex]\sqrt{35}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + b² = a² , that is

x² + 2² = 12²

x² + 4 = 144 ( subtract 4 from both sides )

x² = 140 ( take the square root of both sides )

x = [tex]\sqrt{140}[/tex] = [tex]\sqrt{4(35)}[/tex] = 2[tex]\sqrt{35}[/tex]

Answer:

-16

Step-by-step explanation:

-8•|2|

Absolute value means take the positive value of the number inside

-8 * +2

Multiply

-16

Answer:

What are the numbers?

Step-by-step explanation:

I can help if you give the numbers :)

Answer:

x = 16, y = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{x}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

x = 16

----------------------------------------------------------

Using Pythagoras' identity in the right triangle

y² + 8² = 16²

y² + 64 = 256 ( subtract 64 from both sides )

y² = 192 ( take the square root of both sides )

y = [tex]\sqrt{192}[/tex] = [tex]\sqrt{64(3)}[/tex] = 8[tex]\sqrt{3}[/tex]

Answer:

300.94 sq.m

Step-by-step explanation:

A solid in the shape of cylinder with two hemisphere to each of its ends.

Finding, the Curved surface area of cylinder

Calculate the height of cylinder

Height of cylinder = 11 m

Now, we have

Height of cylinder = 11 m

Radius of cylinder = 7 / 2 = 3.5 m

Using Formula :-

Curved surface area of cylinder = 2× π × r × h

Substitute the values

Curved surface area of cylinder = 2π× 3.5m×11m.

Using the value of π = 3.14

Curved surface area of cylinder =2×3.14× 3.5m × 11 m.

multiply, we get.

Curved surface area of cylinder = 241.78 m².

Finding curved surface area of hemisphere

Using Formula

Curved surface area of hemisphere = 2 × π × r²

substitute the values into the formula

Curved surface area of hemisphere = 2 π × ( 3.5 )²

Evaluate the exponent

Curved surface area of hemisphere =2π×12.25m².

Using value of π = 3.14

Curved surface area of hemisphere = 2 × 3 14 × 12.25 m ²

multiply , we get

Curved surface area of hemisphere = 76.93 m².

Total area of capsules = Curved surface area of cylinder + 2 (Curved surface area of hemisphere)

Total surface area of capsules = 241.78 m²+ 2 × 76.93 m².

Total surface area = 241.78m² + 153.86m².

Subtract and finally we get

Total surface area = 395.64 m ²

Answer:

tanM = [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

tanM = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{LM}[/tex] = [tex]\frac{45}{24}[/tex] = [tex]\frac{15}{8}[/tex]

Answer:

a). -65

b). -61

c). -20ab + 3bc +3ac

Step-by-step explanation:

According To the Question,

a). the sum of 72 − 104 + 5 and -32 + 4 - 10 .

b). What should be added to 32 + 32 + 3 to get 3 + 3 , Let X be Added .

c). Subtract  the sum of 12ab –10bc –18ac and 9ab + 12bc + 14ac from the sum of ab + 2bc and 3bc – ac.

Answer:

a). Regular Pentagon

b). 540°

c). 108°

d). 72°

Step-by-step explanation:

According To the Question

a). the name of the center polygon is Regular Pentagon

b). the sum of the interior angles of the Regular Pentagon is 540°

c). the measure of each interior angle of the Regular Pentagon is 108°

d). the measure of the Each exterior angle of the Regular pentagon is 72° & Sum of All Exterior Angle Of Regular Pentagon is 360°

Answer:

Step-by-step explanation: i don’t know to be honest

Answer:

y= 1/2x-3

Step-by-step explanation:

2y - x = 8

First find the slope

2y = x+8

Divide by 2

2y/2 = x/2 +8/2

y = 1/2 x +4

The slope is 1/2  ( y=mx+b where m is the slope and b is the y intercept)

When lines are parallel they have the same slope)

Using y = mx+b

y =1/2x+b

Substituting the point (4,-1) into the equation

-1 =1/2(4)+b

-1 = 2+b

-3 =b

The equation of the line is

y= 1/2x-3

Answer:

The ending temperature was -6 degrees Fahrenheit.

Step-by-step explanation:

First, it was -8 degrees

Then, it was -8+10=2 degrees

Lastly, it was 2-8=-6 degrees

Answer:

3rd option

Step-by-step explanation:

Solving the inequality

- 10 < 3x - 4 < 8 ( add 4 to each interval )

- 6 < 3x < 12 ( divide each interval by 3 )

- 2 < x < 4

Since -2 less than x and x less than 4

This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.

The solution is represented on the 3rd graph

Answer:

its the 3rd graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

20cd^-1

Answer:

4-3

Step-by-step explanation:

solve for x

Value of function f(x) = 4(1/3)ˣ when x = 3, f(3) = 4/27

Correct option is C.

As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:

Definition of exponential function

In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant  called the base of the function, which must be greater than 0.

Given, exponential function

f(x) = 4(1/3)ˣ

exponential function is defined for x∈R

Putting x = 3

f(3) = 4(1/3)³

f(3) = 4/27

Hence, 4/27 is value of function f(x) = 4(1/3)ˣ when x = 3

Learn more about exponential function here:

https://brainly.com/question/14355665

#SPJ7

Answer: See the diagram below.

The graph consists of a closed circle at -2, an open circle at 3, and shading in between.

===============================================

Work Shown:

[tex]1 \le 4d+9 < 21\\\\1-9 \le 4d+9-9 < 21-9\\\\-8 \le 4d < 12\\\\-8 \div 4 \le 4d \div 4 < 12 \div 4\\\\-2 \le d < 3[/tex]

Notes:

In the 2nd step, I subtracted 9 from all sides to undo the "plus 9"

In the 4th step, I divided all sides by 4 to undo the multiplication.

-------------------

To graph this, you'll have a closed circle at -2 and an open circle at 3. The shaded region is in between. The open circle means "do not include this endpoint".

See the diagram below.

Answer:

x/4

Step-by-step explanation:

x + 4/4 = y + 3/3

do cross multiplication

4(y +3)=3(x +4)

4y +12=3x +12

4y=3x + 12 -12

4y=3x

y/3 = x/4

Answer:

18 m

Step-by-step explanation:

1cm=2meters

so 9 cmx2=18meters. the corridor will be 18 meters

Answer:

I believe it is A) 60.25

Step-by-step explanation:

If it is not correct, let me know.

Answer:

From the box plot we get:

Answer:

the other person is correct!

Step-by-step explanation:

Show them some love <3!

Answer:

h(x) = x - 2

Step-by-step explanation:

h(x) = x - 2

Answer:

h(x) = x - 2

Step-by-step explanation:

Answer:

19[tex]\frac{1}{4}[/tex] or 18[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

First, add the whole numbers

3, 7, and 8

18

Add the fractions

[tex]\frac{1}{2}[/tex]+[tex]\frac{3}{4}[/tex]=[tex]\frac{5}{4}[/tex]

IF YOU WANT SIMPLIFIED NUMBER DO THIS

[tex]\frac{5}{4}[/tex]=1[tex]\frac{1}{4}[/tex]

18+1[tex]\frac{1}{4}[/tex]=19[tex]\frac{1}{4}[/tex]

Answer:

59 cm^3

Step-by-step explanation:

You can split the shape into two rectangular prisms.

3*3*1=9

10*5*1=50

9+50=59

Answer:

y - 3 = -4 (x +2)

Step-by-step explanation:

Point slope form is

y -y1 = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

y - 3 = -4 (x - -2)

y - 3 = -4 (x +2)