Which graph represents the function f (x) = StartFraction 2 Over x minus 1 EndFraction + 4?

Answer:

A) x=9

Step-by-step explanation:

48-12=36.

36/4=9

More detailed explanation:

4x+12=48

    -12    -12

     4x = 36

     /4     /4

     x   =    9

The solution of the equation is, x = 9.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The equation is,

⇒ 4x + 12 = 48

Now, We can solve the equation for value of x as;

⇒ 4x + 12 = 48

Subtract 12 both side, we get;

⇒ 4x + 12 - 12 = 48 - 12

⇒ 4x = 36

Divide by 4;

⇒ 4x/4 = 36/4

⇒ x = 9

Learn more about the mathematical expression visit:

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Answer:

7. -

a. 3.5 or 7/2 hours

b. 24.5

c. After 7 hours (and at the beginning when t=0)

8. -

a. 4 seconds

b. 1 second

c. 54 meters

Step-by-step explanation:

7. M(t)=-2t^2+14t

M’(t)=-4t+14

a)

-4t+14=0

4t=14

2t=7

t=7/2

b) M(7/2)=24.5

c)

M(t)=0

-2t^2+14t=0

t^2-7t=0

t(t-7)=0

t=0, 7

8.

a)

h(t)=0

-6t^2+12t+48=0

t^2-2t-8=0

(t-4)(t+2)=0

t=-2, 4

t=4

b)

h(t)=-6t^2+12t+48

h’(t)=-12t+12

h’(t)=0

-12t+12=0

12t=12

t=1

c) h(1)=54

I hope this helps; please vote brainliest!

Answer:

The values of x for which the model makes sense is [tex]x\ge 6\,ft[/tex].

Step-by-step explanation:

From statement we have the following expression for the volume of the rectangular room is:

[tex]V(x) = 2\cdot x^{3}-14\cdot x^{2}+12\cdot x[/tex] (1)

Where:

[tex]V[/tex] - Volume of the rectangular room, measured in cubic feet.

[tex]x[/tex] - Length of the room, measured in feet.

By Algebraic means we factorize the polynomial:

[tex]V(x) = x\cdot (2\cdot x^{2}-14\cdot x +12)[/tex]

[tex]V(x) = x\cdot (x-6)\cdot (x-1)[/tex]

Given that both volume and length must be positive variables, then the following conditions must be satisfied:

[tex]x \ge 0\,ft\,\land\,x\ge 6\,ft\,\land\,x\ge 1\,ft[/tex]

Then, the values of x for which the model makes sense is [tex]x\ge 6\,ft[/tex].

Answer:

This expresion is not factorable. If you have any questions, please ask me!

Answer:

146 square meters

Step-by-step explanation:

We can split the figure into a 6 by 15 rectangle and a parallelogram (8 base, 7 height).

Answer:

B

beacuse f and x are f  -5 and x   5

Answer:

0.52=0.42+0.23-P(A and B)

P(A and B)=0.13.

Step-by-step explanation:

If this is right, please rate. Im sure its right though.

[tex]3x-2\geq-11[/tex]

[tex]3x\geq-9[/tex]

[tex]x\geq-3[/tex]

[tex]x\in[-3, \infty)[/tex]

Hope this helps.

Answer:

6

Step-by-step explanation:

8(1/2) + 2(4)

/2

4 + 8

/2

12/2

6

Answer:

The answer is 6.

Step-by-step explanation:

SInce x = 1/2, we multiply 8 by 1/2 which is 4.

y = 4, so 2 x 4 = 8. 8 + 4 = 12.

we divide by z, which is 2, so 12 ÷ 2 = 6.

hope this helped!

Answer:

8x

Step-by-step explanation:

Answer:

[tex]\displaystyle -0.\overline{37}=-\frac{37}{99}[/tex]

Step-by-step explanation:

Convert a Repeating Decimal to a Fraction

We need to convert the following decimal to a fraction:

[tex]-0.\overline{37}[/tex]

Let's call x to the given number:

[tex]x=-0.\overline{37}[/tex]

The number has two repeating (periodic) decimals, thus we multiply by 100:

[tex]100x=-37.\overline{37}[/tex]

Note the decimals continue to repeat exactly like the original number.

Subtracting both expressións, the repeating decimals are simplified:

[tex]100x - x = -37[/tex]

Operating:

99x=-37

Dividing by 99:

[tex]\displaystyle x=-\frac{37}{99}[/tex]

The fraction cannot be simplified, thus:

[tex]\mathbf{\displaystyle -0.\overline{37}=-\frac{37}{99}}[/tex]

Answer:

y = 3/4x + 2

Step-by-step explanation:

b = y intercept = 2

m = slope = 3/4

Answer:

Thank you I needed this today *smiles*

Step-by-step explanation:

Answer:

x = 1/2k

Step-by-step explanation:hoep that helps :)

14kx/14k = 7/14k

x= 1/2k

Answer:

x = 1/2y

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

(1,3)

Step-by-step explanation:

starting at (0,0)

vertically scaled by 4 - go up four (0,4)

reflected on y axis - negative the four (0,-4)

translated 1 to the right and 7 up - go up 7 and to the right 1 (1,3)

hope this helps :)

Answer:

Step-by-step explanation:

use ratio of sides

x/10-x  = 2/3

cross multiply

3x = 2(10-x)

3x = 20 - 2x (add 2x to both sides of the equation)

+2x         +2x

5x = 20 (divide both sides by 5 to isolate the variable

x = 4

Answer:

Team Blue

Step-by-step explanation:

The reason this is, is because for each day that passes, they make 5 more light bulbs. This is in relation to the days that pass.

Answer:

whats the question?

Step-by-step explanation:

Answer:

Yes! I can help you!

Step-by-step explanation:

Where is the question?

Answer:

(0, 4)

Step-by-step explanation:

Take a look on the Y axis. (line where it has Y on the top, Runs up and down).

It's asking which coordinates are placed on it. So, It would be (0, 4)

Answer:

The correct answer is D

Step-by-step explanation:

the x coordinate is 0 and the y coordinate is 4

Answer:

Step-by-step explanation:

1/3+4=1/4*1/?

4.3=1/4*1/?

4.3=1/4

17.2

Answer:

One-fourth equals three-twelfths

Step-by-step explanation:

From the above question:

The fractions

One-fourth

: A fraction bar divided into 4 parts. 1 is shaded.

One-half

A fraction bar divided into 2 parts. 1 is shaded

Three-twelfths:

A fraction bar divided into 12 parts. 3 are shaded.

Which is a correct comparison of these fractions?

Comparing the options

a) One-fourth equals three-twelfths

= 1/4 = 3/12

Divide numerator and denominator by 3

= 3 ÷ 3 /12 ÷ 3

= 1/4

Option a is correct

b) One-half is less than three-twelfths

1/2 < 3/12

This statement above is wrong.

One half is greater than three twelfths

1/2 is > 3/12

1/2 > 1/4

c) One-fourth is greater than one-half

1/4> 1/2

This statement above is wrong.

1/2 is greater than 1/4

d) Three-twelfths is greater than one-fourth

This is statement is wrong. Three -twelfths is equal to one - fourths

The correct comparison of these fractions is One-fourth equals three-twelfths.

Answer:

107

Step-by-step explanation:

Since we know that the triangles have the same 3 sides, they are congruent (SSS). We also know that a triangle's angles add up to 180 degrees.

We first need to add 41 and 32 to give us the number we need to subtract from 180.

41+32=73

Now we need to subtract from 180 degrees.

180-73=107

If 107 is the measure of angle D, then according to SSS congruence it is also the measure of angle B.

HTH :)

Answer:

the answer to graph one is 1 and the second one answer is 2

Step-by-step explanation:

the other guy made it a hassle for no reason

The graph shown in figure 1 is a function, and the graph shown in figure 2 is not a function

Graphs are the visual way of representing functions and equations

For a graph to represent a function, then the graph of the function must pass the vertical line test

Graph 1 will pass the vertical line test, while graph 2 will not

Hence, the graph shown in figure 1 is a function, and the graph shown in figure 2 is not a function

Read more about functions and relations at:

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Answer:

for number 4 i think it is option 3

Answer:

2.3333

Step-by-step explanation:

Answer:

2.33 inch

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the figure attached,

ABCD is a square with vertices as,

A(-2, 0), B(-2, 2), C(0, 2) and D(0, 0)

If the given square is dilated by a scale factor of 2 and the center of dilation is the point D (origin).

Rule for the dilation of a point by a scale factor k is,

(x, y) → (kx, ky)

By this rule,

A(-2, 0) → A'(-4, 0)

B(-2, 2) → B'(-4, 4)

C(0, 2) → C'(0, 4)

D(0, 0) → D'(0, 0)

Now we can plot these points to get the image square (dilated figure) as given the figure attached.

Answer:

I think its c

Step-by-step explanation: