for f(x) = 2x + 1 and g(x)=x^2 - 7, find (f - g)(x)
A. x^2 + 2x - 8
B. -x^2 + 2x + 8
C. 2x^2 - 15
D. -2x + 2x - 6

The solution of the system of equations are x = -2 and y = 15, the factor is 2 and 4 for the 1st and 2nd equation respectively.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of equations:

1st Equation: 4x + y = 7

2nd Equation: 2x + y = 11

Subtract equation 2nd from 1st

(4x + y) - (2x + y) = 7 - 11

2x = -4

x = -2

Now in equation 1st multiply by 2 and in equation 2nd multiply by 4

8x + 2y = 14

8x + 4y = 44

Subtract:

-2y = -30

y = 15

The factor is 2 and 4 for the 1st and 2nd equation respectively.

Thus, the solution of the system of equations are x = -2 and y = 15, the factor is 2 and 4 for the 1st and 2nd equation respectively.

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Answer:

d

Step-by-step explanation:

- 5 (3x - 7) ← multiply each term in the parenthesis by - 5

= - 15x + 35

Answer: d.) -15x + 35

Given expression:

⇒ -5(3x - 7)

Apply distributive method: a(b + c) = ab + ac

⇒ -5(3x) -5(-7)

multiply the variables

⇒ -15x + 35

The indicated function values are f(0) = 2 and x = -1

The attached figure represents the missing piece in the question

From the attached figure, the function values to calculate are:

f(x) when x = 0 and x when f(x) = 0

From the figure, the graph crosses the y-axis at y = 2 and the x-axis at x = -1

This means that:

f(0) = 2 and f(-1) = 0

Hence, the indicated function values are f(0) = 2 and x = -1

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[tex]6x+3=5x-8[/tex] (given)

[tex]x+3=-8[/tex] (subtract 5x from both sides)

[tex]x=\boxed{-11}[/tex] (subtract 3 from both sides)

Answer:

10

Step-by-step explanation:

By the geometric mean theorem,

Answer:

Basically find the unit rate by doing 3.99/24 = $0.16625/1oz

1 quart = 32 ounces so 4.8/32 = $0.15/1oz

1 gallon = 153.722 ounces so 11/153.722 = 0.07

49.6/768.61 = 0.06

Step-by-step explanation:
D.

Answer:

10 meters.

Step-by-step explanation:

The area of a rectangle formula is width multiplied by length. So, to find the length of the pool, simply divide the width from the area.

90/9=10

The length of the pool is 10 meters.

Hope this helps!

If not, I am sorry.

Answer:

0.4 bottles can be filled

Step-by-step explanation:

divide the amount that is present by the max amount

the bottle can only hold 5.55 millimeters; therefore the max amount would be 5.55 millimeters.

the amount that is present is 2.22 millimeters.

[tex]\frac{222 millimeters}{555 millimeters} = 0.4[/tex]

0.4 bottles

if the given values are 555 and 222 then the answer is still .4

Answer:

0.4 bottles can be filled

Answer:

to be honest i don't know

Step-by-step explanation:

uh

Answer: its all

Step-by-step explanation:

it does not matter which one you pic, you just have to pick one.

Answer:

is it radius or diameter?

Answer:

a.) f(2) = 3

b.) if f(x) = 2

x=3

Step-by-step explanation:

Here you must notice that on the graph where x is 2, y or f(x) is at 3. This means that the answer where in the function of x, where the input 2, the output or y/f(x) is 3

And if the output is 2, the input is 3 as proven above.

Usando proporciones, en conjunto con multiplicación cruzada, encontra-se que el valor de p es de 6.

Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.

En este problema, relación es dada por:

[tex]\frac{p}{p+2} = \frac{6}{8}[/tex]

Aplicando multiplicación cruzada:

8p = 6(p + 2)

8p = 6p + 12

2p = 12

p = 12/2

p = 6.

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The equation of the function is  F(x) = -3(x-4)² +4 , the correct answer is Option D

The missing graph is attached with the answer

A function is a law that relate the independent variable and the dependent variable.

It is given that

The graph of F(x), shown below, resembles the graph of G(x)= x², but it has been changed

From the graph, it is seen that,

G(x) when shifted by -4 on the negative x axis.

and graph shifted by +4 on the positive y axis.

F(x) is scaled by a factor of -⅓ of G(x)

it is reflected across the x-axis.

So the equation of the function is

F(x) = -3(x-4)² +4

Therefore ,  the correct answer is Option D.

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Tony's coins in ascending order of value will be 5p, 10p, and 15p.

Definition of in Ascending order

Arranged in a series that begins with the smallest or least and ends with the largest or greatest The children were lined up in ascending order of height. Test score are listed in ascending order from lowest to highest.

How do depict the information?

Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.

In this case, 5p + 10p + 15p = 30p

10p + 15p + 15p = 40p

5p + 5p + 10p + 15p + 15p = 50p

Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.

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Answer:

4x55x2

Step-by-step explanation:

4 kids 55trys 50 50 odds

Answer:

The shelter can house 17 cats because

17 < 28.

Step-by-step explanation:

We cannot have fractions of cats, and we cannot have a negative number of cats. So the third statement is reasonable because c < 28.

Step-by-step explanation:

see photo for detailed analysis

An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are A and C.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given exponential (6⁻¹⁰/6⁻⁴) function can be simplified as shown below,

(6⁻¹⁰/6⁻⁴)

= 6⁻¹⁰ × 6⁴

= 6⁽⁻¹⁰⁺⁴⁾

= 6⁻⁶

= 1/6⁶

Hence, the correct options are A and C.

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Answer:

The last option that starts with (1,-1)

Answer:

? = 26

Step-by-step explanation:

Challenge accepted!

For the bottom left corner:

[tex]10^{2} + 6^{2} \\= 100 + 36\\= 136[/tex]

Now, 10 - 6 = 4

136 / 4 = 34

For the top left corner:

[tex]7^{2} + 5^{2} \\= 49 + 25\\= 74[/tex]

Now, 7 - 5 = 2

74 / 2 = 37

For the top right corner:

[tex]8^{2} + 4^{2} \\= 64 + 16\\= 80[/tex]

Now, 8 - 4 = 4

80 / 4 = 20

For the bottom right corner:

[tex]6^{2} + 4^{2} \\= 36 + 16\\= 52[/tex]

Now, 6 - 4 = 2

52 / 2 = 26

Another method:

5×6+7=37

7×6-5=37

6×4+10=34

10×4-6=34

4×3+8=20

8×3-4=20

So, 4×5+6=26

6×5-4=26

Firstly we have to multiply number with smaller number from the both number, then, multiply that constant number with larger number and then subtract smaller number you will get same number, in this with 4 only 5 constant number following this rule 4×5+6=26, 6×5-4=26, if you multiply 4 with 6, then, 4×6+6=30, 6×6-4=32, and with 7, 4×7+6=34, 6×7-4=38. So, 26 is the right answer of this question

Answer:

all I know is the second on about world population in 2014 which was c

7•10⁹

Answer:

B

B

Step-by-step explanation:

there are 9 steps for the second question so it 10^9

and if you times the 1st population size by 20 you get very close to the second population size.

Answer:

0.00305 (rounded)

Step-by-step explanation:

this is a geometric sequence so the formula is

an=a×r×n-1

Answer:

Answer:

(3*6) - (6/2) = 15

Step-by-step explanation:

3 and 6 are being multiplied by them selves, and then subtracted by the answer of 6/2.

The answer of the equation is 15.

Answer:

3/5x + 3 = 6

3/5x = 6 - 5

3/5x = 1

3/5x (5x) = 1* 5x

3 = 5x

3/5 = X

Answer: (0,1)

Step-by-step explanation:

If (x,y) lies on the graph of the original function, then (y,x) lies on the graph of the inverse.

Since (1,0) lies on the graph of h(x), (0,1) lies on the graph of its inverse.

(0, 1) point is on the graph of the inverse function h-¹(x).

Two functions f(x) and g(x) are inverses if their composition is equal to the identity.

Equation of line will be

y = -2x + 2 = h(x)

h⁻¹(x) will be calculated as:

x = -2y + 2

x - 2 = -2y

y = (2 - x)/2

So, y = h⁻¹(x) = (2 - x)/2

put x = 0 in the equation y = (2 - x)/2

y = 1

(0, 1) = (0, 1)

This, (0, 1) is the point on h⁻¹(x).

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Answer:

it’s correct

Step-by-step explanation:

Answer:

[tex]\fbox {See below} \downarrow[/tex]

Step-by-step explanation:

When taking the perpendicular of the line, it should be done at the midpoint of the line. Hence, by taking arcs from both endpoints, it should be done. This is why this is incorrect.

By knowing that water outflow is stable and the known geometry, the draining time of the rectangular tank is equal to a time of a minute and 36 seconds.

In this question we must determine the draining time of a tank whose dimensions are known and whose water outflow is stable. The draining time is equal to the volume of the rectangular tank divided by outflow rate:

V = (1.2 m) · (0.8 m) · (0.5 m)/(0.3 m³/min)

V = 1.6 min

By knowing that water outflow is stable and the known geometry, the draining time of the rectangular tank is equal to a time of a minute and 36 seconds.

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