Which of the following is true for f?

Which Of The Following Is True For F?

Answers

Answer 1

Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

What is the correct domain and range?

We are given the function;

f(x) = {3x - 1, if -9 < x ≤ -2

        {-5, if -2 < x ≤ 1

        {x - 6, if 1 < x < 7

Now, the domain of a function is defined as the set of all possible input values that make the function to exist. Meanwhile, the range of a function is the set of all possible output values that make the function to exist.

Looking at the given intervals and combining them all, we can tell that the domain is as follows; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

Now, the range for 3x - 1 is;

3(-9) - 1 = -28 and 3(-2) - 1 = -7

Range is greater than -28 and less than or equal to -7

Range of x - 6 will be greater than -5 and less than 1

Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

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Related Questions

Matthew bought a scale model toy version of the
space ship in his favorite science fiction television
show. If the tov is constructed with the scale
1 inch
= 12 feet and the toy is 1 foot 4 Inches
long, how long is the ship in the television show?
A. 192 feet
B.168 feet
C.60 feet
D. 49 feet

Answers

Answer: A. 192 feet

Step-by-step explanation:

1 foot 4 inches=

1 foot+4 inches=

12 inches+4 inches=

16 inches

Hence,

16*12=

16*(10+2)=

(16)(10)+(16)(2)=

160+32

192 feet

Bryar gathered 10 eggs from the chickens. When he got to the house, he discovered all of the eggs were broken. Write an expression to represent this situation.

Answers

The expression when Bryar gathered 10 eggs from the chickens is 10 - x = 0.

How to calculate the expression?

Let the eggs that are broken be represented by x.

Therefore, from the information, Bryar gathered 10 eggs from the chickens. When he got to the house, he discovered all of the eggs were broken.

Therefore, the expression will be:

10 - x = 0

This illustrates that there are zero left.

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3/4 ÷ 9 =
answer Issssssss

Answers

Answer: 0.08333333333

Step-by-step explanation:

given ,

3/4 divided by 9

=> 3/4 x 1/9 ( since division is reciprocal of multiplication)

=> 1/12

How many 1 3/4-inch long machine bolt blanks can be cut from a 5-foot length of stock? allow 7/32 inch for waste on each blank.

Answers

The number of the 1(3/4) inch blocks will be 34 out of the 5 feet of stock.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that 1 3/4-inch long machine bolt blanks can be cut from a 5-foot length of the stock. The number of the blocks will be calculated as below:-

Number = 5 foot / ( 1(3/4)

Number = 60 / ( 7/4)

Number = 34.2

Therefore, the number of the 1(3/4) inch blocks will be 34.

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(a) Make the subject of the formula t
2(a+t)=5t+7

Answers

t = 2/3a - 7/3

2a + 2t = 5t + 7
2a - 3t = 7
-3t = -2a + 7
t = 2/3a - 7/3

To make a sweater out of fabric, ruth needs 1 1/2 yards of fabric. if ruth bought 8 3/4 yards of fabric, how many sweaters can she make?

Answers

Ruth can make a maximum of 5 yards of fabric.

Given she bought 8 3/4 yards and 1 1/2 is needed, we can set up an equation:

1.5x ≈ 8.75

8.75 / 1.5 gives us 5.8333 repeating. Because it is irrational to make 5.8 sweaters, we should round down to the necessary approximation. Rounded down, 5.8 is 5. Therefore, Ruth can make a maximum of 5 sweaters.

Which expression has a value of 8?

. 21 - 3 × 5
. (28 ÷ 4) + (10 × 2)
. (16 ÷ 4) + 3 × 2
. 4 × 5 - 6 × 2

Answers

Answer:

Hi, it's D.

Step-by-step explanation:

[tex]4\times \:5\\= 20\\6\times \:2\\= 12\\20-12\\= 8[/tex]

a climate change program surveyed 1263 adults in a recent month and asked them about their attitudes on global climate change. a display of the percentages of respondents choosing each of the major alternatives offered is provided. list the errors in this display.

Answers

The error are;

1) The percentages do not sum to 100%

2)  Showing the pie chart on a slant violates the area principle.

What are the errors?

A pie chart is used to show the relationship between variables. We can use the bar chart to categorize the relationship that exists between different variables. In this case, we are looking at the responses to a climate change survey.

We can see that there are the following errors in the chart;

1) The percentages do not sum to 100%

2)  Showing the pie chart on a slant violates the area principle.

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The cost of a ticket to the circus is $23.00 for children and $47.00 for adults. on a certain day, attendance at the circus was 500 and the total gate revenue was $18,700. how many children and how many adults bought tickets?

Answers

Answer:

200 children and 300 adults

Step-by-step explanation:

No. of children = c

No. of adults = a

EQUATION 1:    a + c = 500

EQUATION 2 :  23c + 47a = 18700

a = 500 - c

23c + 47(500 - c) = 18700

23c + 23500 - 47c = 18700

-24c = 18700 - 23500

-24c = -4800

-4800/-24 = c

c = 200

a = 500 - 200

a = 300

Need help with this….
-(v+4)+5=4v+1-5v

Answers

Answer:

All real numbers

Step-by-step explanation:

We can first factor the negative onto the parentheses to get [tex]-v-4+5=4v+1-5v[/tex]. Now we can combine like terms, getting [tex]-v+1=-v+1[/tex] . Since both sides are equal, the answer is "all real numbers," which can be represented with this symbol: [tex]\mathbb{R}[/tex]. (an R but with an extra vertical line in front)

Tola is moving into a rental house. The owner wants Tola to pay a
security deposit of $443 as well as the first and last month's rent. Tola's
monthly rent is $910. What will be Tola's total move-in costs for the
rental house?

Answers

Answer:

go ask ur maths teacher duh it will be more easy

help the question is in the picture​

Answers

Answer:64

Step-by-step explanation:33+116=149

180-149=31

31+33=64

Please answer number one and two.

[tex]\sqrt{40+9}[/tex]

[tex]\frac{\sqrt[3]{125+3} }{2}[/tex]

Answers

The simplified forms of the given expressions are

7[tex]2\sqrt[3]{2}[/tex]

Evaluating an expression

From the question, we are to evaluate the given radical expressions

The given radical expressions are

[tex]\sqrt{40+9}[/tex]

and

[tex]\frac{\sqrt[3]{125+3} }{2}[/tex]

Evaluating [tex]\sqrt{40+9}[/tex]

[tex]\sqrt{40+9}[/tex]

= [tex]\sqrt{49}[/tex]

= 7

Evaluating [tex]\frac{\sqrt[3]{125+3} }{2}[/tex]

[tex]\frac{\sqrt[3]{125+3} }{2}[/tex]

= [tex]\frac{\sqrt[3]{128} }{2}[/tex]

= [tex]\frac{\sqrt[3]{64 \times 2} }{2}[/tex]

= [tex]\frac{\sqrt[3]{64 } \times \sqrt[3]{2} }{2}[/tex]

= [tex]\frac{4\times \sqrt[3]{2} }{2}[/tex]

= [tex]\frac{4 }{2} \times \sqrt[3]{2}[/tex]

= [tex]2\times \sqrt[3]{2}[/tex]

= [tex]2\sqrt[3]{2}[/tex]

Hence, the simplified forms of the given expressions are

7[tex]2\sqrt[3]{2}[/tex]

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Solve system of equations.
y=2 x+1
y=3 x

Answers

The system of equations involving y = 2x + 1 and y = 3x has the solution written as an ordered pair (1 , 3).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

y = 2x + 1     (equation 1)

y = 3x     (equation 2)

Since both equations are in the form of y in terms of x and some constant, substitute the second equation to the first equation.

y = 2x + 1     (equation 1)

3x = 2x + 1

Combining the all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.

3x - 2x = 1

x = 1

Substituting the value of x in the second equation,

y = 3x     (equation 2)

y = 3(1)

y = 3

Writing it as an ordered pair, we got (1 , 3) as the solution of the system of equations involving y = 2x + 1 and y = 3x.

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is a criterion of causality that requires a change in a predictor variable (x) to be consistently associated with some change in the explanatory variable (y).

Answers

Correlation or co variation  a criterion of causality that requires a change in a predictor variable (X) to be consistently associated with some change in the explanatory variable (Y) .

What is general deterrence?

In contrast to "specific" deterrence, which refers to the effects of legal punishment on those who actually receive them, "general" deterrence refers to the consequences of legal punishment on the broader population (possible offenders).

How do you explain correlation?

If two variables move in the same direction, they are said to have a positive correlation; if they move in opposing ways, they have a negative correlation. Correlation is a statistical word that describes the degree to which two variables move in coordination with one another.

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The complete question is -

--------------- a criterion of causality that requires a change in a predictor variable (X) to be consistently associated with some change in the explanatory variable (Y) ?

When Isabel began her book-selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent warehouse space. Lisa owns a large warehouse nearby and can rent space to Isabel. The area of the warehouse is 8,100 square feet. Lisa is willing to rent Isabel as little as 100 square feet of the space or up to as much as the entire warehouse. Her only requirement is that all spaces must be square.
The total length of each row of bookshelves will be 45 of the length of the storage space.
Let x be the area of the space that Isabel rents and f(x) represent the total length of a row of bookshelves. How would you find the length of a row of bookshelves? (3 points)

Answers

Answer:

f(x) = 4 ÷ 5√x

The area is mentioned to be square, so its length will be the square root of x. 4-fifths of that same length are the length of 1 row of the bookshelves, therefore, this is your answer.

➲ Hope it helps!

Answer: 90 feet

Step-by-step explanation:

The function that expresses length f(x) feet, in terms of area x square feet can be written as:

f(x)  =  sqrt(x)

So, when x = 100 square feet,  f(x) = 10 feet,

when x  =  121 square feet, f(x)  =  11 feet,

when x = 8100 square feet, f(x)  =  90 feet

i did what i could do

f(x)=7/3x -9 for f(-3)

Answers

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable. If f(x)=7/3x -9 then f(-3) is -88/9.

What is Function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Given function is

f(x)=7/3x -9

where x=-3.

Subtract x=-3 in the above function.

f(-3)=7/3(-3) - 9

f(-3)=7/-9 - 9

f(-3)=-7/9-9

f(-3)=(-7-81)/9

f(-3)=-88/9

Therefore f(-3) is -88/9.

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y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x = 12.

Answers

Answer: Our required equation would be

Step-by-step explanation:

Since we have given that

y=30, when x = 6.

As there is direct proportion between x and y.

so, it becomes,

So, the equation connecting y and x would be

When we put the value of k, we get that

Hence, our required equation would be y=5x

Help me, please for my Maths Homework I don't understand I need answers

Answers

The resulting coordinate points after translation is (4, -4), (0, -2) and -6,-2)

Translating coordinates ofa triangle

The triangle is a shape that has three sides and angles. Given the coordinate points of the triangle given as:

A(-2, 3)

B (-2, 5)

C (-4, 5)

If the coordinate points is translated by the vector (2, -7), hence the resulting coordinate points will be:

A' = (2+2, 3-7) = (4, -4)

B' = (-2+2, 5-7) = (0, -2)

C' = (-4-2, 5-7) = (-6,-2)

Hence the resulting coordinate points after translation is (4, -4), (0, -2) and -6,-2)

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Given m || n, find the value of x and y.

Answers

Check out the attached photo

A 12 cm by 20 cm photograph is on display in an art gallery. The gallery curator wants to hang other photographs in the gallery that are the same size. To resize the photographs without distorting the image, the curator needs to find photographs that are proportional to the original one. The dimensions of several photographs are shown. Which photograph’s dimensions are proportional to the original photograph? Select all that apply.

Answers

Answer:

.

Step-by-step explanation:

Sam gets $6.00 each week for allowance. he wants to purchase a toy that costs $24.00. he also wants to purchase a movie that costs $6.00. label your drawings with toy

Answers

Answer:

$36

Step-by-step explanation:

$6.00+$24.00+$6.00

Rewrite the expressions using the distributive property:
3 (2x+7)

Answers

Answer:6x+21

Step-by-step explanation:

hope this helps

I believe the answer is 3 x 2x+7 =

Or 9x x 3 = 27 i think!

Students were surveyed about what summer camp they would be attending.

Camp Name Number of Students
Camp Arrowhead 130
Camp Kern 220
Camp Redwood 170

Of the students that stated they would be going to Camp Redwood, 20% did not go to camp. Of the students that stated they would be going to Camp Kern, 15% did not go to camp. How many more students went to Camp Kern than Camp Redwood?

Answers

If the students that stated they would be going to Camp Redwood, 20 percentage did not go to camp and the students that stated they would be going to Camp Kern, 15 percentage  did not go to camp, then 51 more students went to camp kern than camp redwood

The total number of students in Camp redwood =170

Number of students who didn't  attend the camp redwood = 170×(20/100)

=34 students

Number of students who went to camp redwood =170-34

=136  students

Total number of students in Kern camp = 220

Number of students who didn't  attend the camp Kern=220×(15/100)

=33 students

Number of students who went to camp kern =220-33

=187 students

How many more students went camp Kern than Camp Redwood= 187-136

=51

Hence, 51 more students went to camp kern than camp redwood

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the solution set of a linear system involving variables x1; : : : ; xn is a list of numbers.s1; : : : ; sn/that makes each equation in the system a true statement when the values s1; : : : ; sn are substituted for x1; : : : ; xn, respectively.

Answers

The given statement is False, because the description only applies to one solution. The solution set contains all conceivable solutions.

What is a linear number pattern?

A linear number pattern is a succession of numbers with the same difference between each term. As an example, consider the numbers 1, 3, 5, 7, 9,... Every phrase differs by a factor of two. These are also known as linear numbers. Another example would be 7, 17, 27, 37,...

What is the nonlinear sequence formula?

A formula can be found for linear sequences, that is, sequences in which the difference between succeeding terms is always the same. would have resulted in the formula un = 3n + 35. produces the formula un = 3n - 10, where c is either positive or negative.

To obtain the remaining phrases, you simply keep using the addition of 1 method.

Here are a few further illustrations of linear number patterns:

Beginning with three points and a two-point difference:

3, 5, 7, 9, … Starting with five and a three-point difference:

5, 8, 11, 14, …

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Use the figure to the right to find the value of PT. T is the midpoint of PQ
PT=5x+7 and TQ=9x-9

Answers

Answer:   27

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

Explanation:

Since T is the midpoint of PQ, this means the smaller pieces PT and TQ must be equal. In other words, T divides PQ in half.

PT = TQ

5x+7 = 9x-9

5x-9x = -9-7

-4x = -16

x = -16/(-4)

x = 4

Use this to find each segment length.

PT = 5x+7 = 5(4)+7 = 20+7 = 27TQ = 9x-9 = 9(4)-9 = 36-9 = 27

Both pieces are 27 units long, which confirms the answer.


What is the slope of the line that passes through the points (7,-4)
and (11,-4)? Write your answer in simplest form.

Answers

Slope of line=0

Slope of line=[tex]\frac{y2-y1}{x2-x1}[/tex]

=[tex]\frac{-4+4}{11-7}[/tex] =[tex]\frac{0}{4}[/tex] =0

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent slope; the reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute the slope.A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.

The slope's absolute value serves as a gauge for a line's steepness, incline, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn in one of four directions: upward, downward, horizontal, or vertical.

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raise 6 to the 7th power, then multiply j by the results

Answers

Answer:

279936j

Step-by-step explanation:

a youth chorus has 30 members. there are 14 boys in the chorus. what is the ratio of boys to girls in simplest form? 715 7 over 15 87 8 over 7 815 8 over 15 78

Answers

The ratio of boys to girls in Simplest form is [tex]\frac{7}{8}[/tex] or 7:8  .

Ratio is defined as the term that is used to compare two or more numbers.

It is denoted by a:b  and ":" is read as "is  to" .

For Example , In a mixture of 10liter there 9 liter of milk and 1 liter of water ,

So the ratio of milk to water in the mixture will be 9:1 or [tex]\frac{9}{1}[/tex].

In the given question

Total members = 30

Number of Boys =14

Number of Girls = 30-14=16

The ratio of boys to girls =[tex]\frac{14}{16} =\frac{7}{8}[/tex]  or 7:8 .

Therefore , the ratio of boys to girls in simplest form is 7:8.

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Alex is buying a sweater that originally costs $35 and a pair of jeans that originally cost $28. If the sweater is marked down 30% and the jeans are marked down 15%, find the total cost, including 8% sales tax.

Answers

Answer: $67.28

Step-by-step explanation:

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