adding and subtracing linear wxpressions 12(−4x+8)−14(8x−12)

The function of domain is X∈R and the range is [tex]\[\left\{ {f \in \mathbb{R}:f \le \frac{1}{4}(1 + 4\sqrt 2 )} \right\}\].[/tex]

The given function is  [tex]\[f\left( x \right) = \sqrt {2 - x - {x^2}} \][/tex]

Domain: The domain of a function is the set of input or argument values for which the function is real.

Use commutative properties to reorder the terms

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

Separate the function into parts to determine the domain of each part

[tex]\[f\left( x \right) = \sqrt { - x + 2} \]=-x+2= x^{2}[/tex]

Domain is XR (all real numbers)

The function has no undefined points nor domain constraints. Therefore, the domain is X∈R.

Range: The set of values of the dependent variable for which a function is defined

Range of [tex]\[\left\{ {f \in \mathbb{R}:f \le \frac{1}{4}(1 + 4\sqrt 2 )} \right\}\][/tex]

Combine the ranges of all domain intervals to obtain the function range.

Hence, the domain and the range of the function [tex]\[f\left( x \right) = \sqrt {2 - x - {x^2}} \][/tex] are

Domain = X∈R

Range [tex]=\[\left\{ {f \in \mathbb{R}:f \le \frac{1}{4}(1 + 4\sqrt 2 )} \right\}\][/tex].

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Answer: a.{2, 4, 5, 7, 15}    b.{2, 3, 5, 6.5, 9}

Step-by-step explanation: for (a.) you find the median and both extremes, lower and highest value, and for (b.) you just have to re-find the median and the new upper and lower quartiles.

Hope this helps c:

Answer:

The least common multiple of 8 and 6

burgers: 6, 12, 18, 24

buns: 8, 16, 24

You make 24 burgers which is 4 packages

of meat patties and 3 packs of buns.

Malia that uses 51 yards of ribbon to make 17 bows will have to use 204 yards of ribbon to make 68 bows

To solve this problem we will use a rule of three with the problem information:

17 bows-------- 51 yards of ribbon

68 bows-------- x

Applying the rule of three we get:

x = (68 bows * 51 yards of ribbon) /17 bows

x = 204 yards of ribbon

It describes the proportionality of 3 known data and an unknown data. When you have more than 3 known facts that are involved in the proportionality, it is known as a compound rule. The rule of three is also known as a direct proportions.

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The statements that are true about the graph of the system of linear inequalities include:

The graph of y > 3x − 4 has shading above a dashed line.

The graphs of the inequalities will intersect.

y means the shading will be above the corresponding line.

y means the shading will be below the corresponding line.

Together, the two graphs intersect the entire y-axis. Jointly, they only intersect the y-axis on the interval -4 < y < 1.

Therefore, the graph of y > 3x − 4 has shading above a dashed line and thee graphs of the inequalities will intersect.

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Answer:

A, C

Step-by-step explanation:

Which statements are true about the graph of the system of linear inequalities? Select two options.

y > 3x – 4

y < One-halfx + 1

The graph of y > 3x − 4 has shading above a dashed line.

The graph of y < One-halfx + 1 has shading below a dashed line.

The graphs of the inequalities will intersect.

There are no solutions to the system.

The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).

Edge 2022

The solution for the system of equation is 4534 and the graphical representation is attached below.

A system of equation or simultaneous equations are a pair of linear equation is 2 variables such that they represent a pair of straight line sin the cartesian plane.

The point of intersection of these two line on the cartesian plane is given by the solution of the two equation that are given.

A system of equations can be solved algebraically  by matrix method , elimination method or by substitution.

Now let us solve the given equation algebraically by elimination method.

5x - y = 35

3x + y = -3

Adding the equation we get:

or, 8 x = 32

or,  x  = 4

putting the value of x in the first equation we get:

5 × 4 - y = 35

or, -y = 35 - 20

or, y = -15

Hence the point of intersection is ( 4 , -15 )

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Answer:

93

Step-by-step explanation:

first you add 30 and 57

where you will get 87

then subtract 87 from 180 and get 93

Answer:

39

Step-by-step explanation:

[tex]{ \blue{ \mathfrak{39}}}[/tex]

Step-by-step explanation:

[tex]{ \red{ \tt{ \frac{12}{3} }}} \times ({ \green{ \tt{15 - 6}}}) + { \red{ \tt{3}}}[/tex]

[tex]{ \red{ \tt{4}}} \times { \green{ \tt{9}}} \: + \: { \red{ \tt{3}}}[/tex]

[tex]{ \red{ \tt{36}}} + { \red{ \tt{3}}}[/tex]

[tex] = { \purple{ \mathfrak{39}}}[/tex]

Answer:

a) EF

c) DF

a) DG

a) DE EF

Step-by-step explanation:

Answer:

i don't know the answer!!

There are five whole numbers between 1 and 150 that have exactly 3 different factors. Whole numbers between 1 and 150 with exactly 3 different factors must be the square numbers whose square roots are prime.

To find the complete list begin counting...

skip 1, not prime;

2 is prime and 2 squared is 4;

3 is prime and 3 squared is 9;

skip 4 b/c it is not prime;

5 is prime and 5 squared is 25;

6 not prime;

7 prime and 7 squared is 49;

8 not prime;

10 not prime;

11 prime and squared is 121;

12 is not prime;

13 prime, but squared it is greater than 150.

The complete list is 4, 9, 25, 49, and 121. 4 has 1, 2, 4;

9 has 1, 3, 9;

25 has 1, 5, 25 ;

49 has 1, 7, 49 ;

121 has 1, 11, 121.

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Answer: 16. f(1)=-2

17. f(-3)=1

18. x=0

19. x=-1 and x=1

Step-by-step explanation:

16. f(1)=-2

17. f(-3)=1

18. f(x)=-3

x=0 ==> f(0)=-3

19. f(x)=-2

x=-1 and x=1 ==> f(-1)=-2, f(1)=-2

Answer:

3y = 5x - 24

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

3y = 5x + 2 ( divide through by 3 )

y = [tex]\frac{5}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{5}{3}[/tex]

• Parallel lines have equal slopes , then

y = [tex]\frac{5}{3}[/tex] x + c ← is the partial equation of the parallel line

to find c substitute (6, 2 ) into the partial equation

2 = 10 + c ⇒ c = 2 - 10 = - 8

y = [tex]\frac{5}{3}[/tex] x - 8 ← equation in slope- intercept form

multiply through by 3 to clear the fraction

3y = 5x - 24 ← equation of parallel line

Answer:

5 m/s

Step-by-step explanation:

The equation for speed is distance/time. The distance given is 50 meters. The time given is 10 minutes. 50/10 is 5. 5 meters per second is your speed.

Answer: a=1/2=0.5

Step-by-step explanation:

7(a)=a+3

Subtract a from both sides.

7a−a=3

Combine 7a and −a to get 6a.

6a=3

Divide both sides by 6.

a= 63

​Reduce the fraction  

63

​to lowest terms by extracting and canceling out 3.

a= 21

Answer: 6 words per minute

Step-by-step explanation:

54 words / 9 minutes =

54/9=6 words per minute

Answer:

6 words/min

Step-by-step explanation:

9 min --- 54 words

÷9 ( )÷9

1 min --- 6 words

Answer:

Step-by-step explanation:

Complete the following statement. Use the integers that are closest to the number in the middle.

< –80

When Mr. Johnson earns $5.40 an hour. One week, he worked 40 hours and 2 hours overtime, If he is paid time and one-half for overtime then the total amount he earned is $232.2

Given,

The amount he earns in an hour = $5.40

Total number of hours he worked =40 hours

The amount he earns = 5.40×40 = $216

Overtime hours = 2 hours

Overtime payment per hour= 5.40×1.5= $8.1

The amount he earns for overtime = 2×8.1= $16.2

The total amount he earned = 216+16.2= $232.2

Hence, when Mr. Johnson earns $5.40 an hour. One week, he worked 40 hours and 2 hours overtime, If he is paid time and one-half for overtime then the total amount he earned is $232.2

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Answer:

so it goes 11,22,33,44,55,66,77,88,99!

Step-by-step explanation:

Not that hard you're welcome kings and queens have a nice day

We need to know about the concept of compound interest to solve the given problem. The minimum interest rate that Harry needs to meet his need is 11.4%

Compound interest can be described as the interest that you earn on both the principal amount and the interest earned. In this question it is said that the bank offers annual interest compounded monthly, we will be using a formula to solve this problem. Since Harry has 21350 EUR we will take that as the principal amount and the minimum amount that he needs is 30000 EUR we will consider this to be the final amount at the end of 3 years. We need to find out the rate of interest that the bank offers.

A=P[tex](1+\frac{r}{12} )^{12t}[/tex] where A is amount, P is principal, r is the rate of interest and t is time period.

P=21350 EUR

A=30000 EUR

t=3

30000=21350[tex](1+\frac{r}{12}) ^{36}[/tex]

[tex]\frac{600}{427} =(1+\frac{r}{12}) ^{36}[/tex]

1+[tex]\frac{r}{12}[/tex]=1.00949

r/12=0.00949

r=0.1139

r=11.4%

Therefore we found that the minimum rate of interest Harry requires to meet his needs is 11.4%

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The fact that the sum of the interior angles of a triangle add up to 180 is equivalent to the parallel postulate. Therefore, the sum of the interior angles of a triangle in this type of geometry be different from those of triangle in Euclidean geometry.

There is only one parallel to the given line in Riemannian geometry. A straight line of finite length that can be continued endlessly is the second postulate of Euclid.

One of the non-Euclidean geometries that entirely rejects the validity of Euclid's fifth postulate and alters his second postulate is Riemannian geometry, commonly known as elliptic geometry. The fifth postulate of Euclid states that there is only one line that passes through a point that is not on a particular line and is parallel to that line.

In this case, the angles won't change as it's always equal

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rise: 1 run: 2

slope: 1/2

you can start from any point on the slope. if i picked point (-5,0) i go up 1 square and right 2 squares to get to point (-3, 0). thats basically the rise and run, and the slope is always rise over run

Answer:

(k + 4) (7k + 3)

k(7k + 3) + 4(7k + 3)

7k² + 3k + 4(7k + 3)

7k² + 3k + 28k + 12

7k²  + 3k + 28k + 12

7k² + 31k + 12

7k² + 31k + 12

Answer:

I think the answer is -7 1/5, -7.1 repeating, 23/3, square root of 50

a) for given functions f(x) = 8x and g(x) = 12x + 3,

(f g)(x) = 96x² + 24x

b) for functions f(x)= 14 and g(x)= 3 - 12x,

f(x) • g(x) = 42 - 168x

In this question, we have been given two functions.

We need to find the given function.

a) f(x) = 8x and g(x) = 12x + 3

To find (f g)(x)

We know that, the product of functions f(x) and g(x) is:

(f g)(x) = f(x) . g(x)

(f g)(x) = (8x) (12x + 3)

(f g)(x) = 96x² + 24x

So, for given functions f(x) = 8x and g(x) = 12x + 3,

(f g)(x) = 96x² + 24x

b) f(x)= 14 and g(x)= 3 - 12x

To find f(x) • g(x)

f(x) • g(x) = (14) . (3 - 12x)

f(x) • g(x) = 42 - 168x

So, for functions f(x)= 14 and g(x)= 3 - 12x,

f(x) • g(x) = 42 - 168x

Therefore, a) for given functions f(x) = 8x and g(x) = 12x + 3,

(f g)(x) = 96x² + 24x

b) for functions f(x)= 14 and g(x)= 3 - 12x,

f(x) • g(x) = 42 - 168x

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The point which is located on the ray PQ as required in the task content given that the points M, N, O, P, Q, R, S are collinear is; point R.

It follows from the task content that the point which is located on the ray PQ is to be identified among the given answer choices.

Since all points given are said to be contained on a line, it can therefore be inferred that the points are collinear.

Also, by the definition of a ray; it follows that the ray PQ is one which starts from P and goes through Q and continues in the direction of Q.

Ultimately, the point which is located on such ray as described above among the answer choices is the point R.

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Answer:

Point R

Step-by-step explanation: