22
Select the correct answer.
Consider the graph of the function f(z)= 10⁰
-5 -4 -3 -2
F
5
4
3-
2-
-2-
-3-
T
3 4
What is the range of function gif g (z)= -2 f(z) + 1?
O A. (0,00)
OB.
(-00, 2)
O C.
(-00, 1)
OD. (-2,00)

22Select The Correct Answer.Consider The Graph Of The Function F(z)= 10-5 -4 -3 -2F543-2--2--3-T3 4What

Answers

Answer 1

The range of function g would be c. (-∞, 1).

Answer 2

The requried range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]. Option C is correct.

What is the range?

The range is the set of values that come out to an outcome for a certain mathematical operation.

Here,

First find the function g(x),
So,
g(x) = -2(10ˣ) + 1


To calculate the range of the function g(x) = -2(10ˣ) + 1, we need to determine the set of all possible output values that the function can produce.

Notice that the function f(x) is a linear function of the form y = mx + b, where m = -2 and b = 1. Since the exponent function, 10ˣ is always positive, the value of -2(10ˣ) is always negative, and adding 1 to a negative number results in a range of all real numbers less than or equal to 1.

Therefore, the range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]

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Related Questions

What is the slope of y = −x+7?​

Answers

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Explain about the slope?

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.

A line's slope often indicates the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.

where m is the slope and y=mx+b

You can also write y =-x+7 as y=-1x +7.

Therefore, the slope is determined by the number before x.

The slope is -1

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7 1/5 - 4 3/5 please tell me ASAP i need this rn

Answers

Answer: 4 2/5

Step-by-step explanation:

Answer:2 3/5

Step-by-step explanation:

Change to improper fraction

36/5-23/5

Subtract 36 and 23 since they have same denominator:

36-23=13

Put over 5

13/5

Change over mixed number

2 3/5

4 |5-8| what is the answer

Answers

The answer should be -5/8 that is the only answer that makes since

Answer: 12 is the answer. Hope this helps Have a good day mark me brainlist

Step-by-step explanation:

4•(5-8)

Calculate the difference

4•(-3)

The absolute value of any number is always positive is always positive.
4•3

Multiply the numbers

=12

Is water moist? Because I think it is

Answers

Answer:

Yes! Water is moist.

Step-by-step explanation:

Water is moist because water is a liquid.

From the dictionary:

moisture:

"water or other liquid diffused in a small quantity as vapor, within a solid, or condensed on a surface."

moisture is a type of liquid, and water can be 'diffused in a small quantity as vapor'

So, logically, water is moist.

Answer ALL 3 questions in the photo for easy point! ( 30 points + brainliest

Answers

The most appropriate choice for set will be given by -

1) Number of students who went to Nashville but not Pittsburg = 5

2) Number of children who like to use markers but not colour pencils = 2

3) Number of students who have been on TV but not in a play =2

What is a set?

Set is a well defined collection of distinct objects. The objects are called elements of the set.

Set can be empty or non empty, finite or infinite.

The number of elements in a set is known as the cardinal number of the set

Here,

1) Number of students went to Nashville = 12

Number of students went to Pittsburg = 10

Number of students went to both cities = 7

Number of students who went to Nashville but not Pittsburg = 12 - 7

                                                                                                     = 5

2) Number of children who like to use markers = 5

Number of children who like to use coloured pencils  = 10

Number of children who like to use both coloured pencils and markers          

                                                                                                           = 3

Number of children who like to use markers but not colour pencils = 5 - 3

                                                                                                                = 2

                                                                                                         

3) Number of students who like to play = 9

Number of students who like to watch TV = 7

Number of students who both like to play and watch TV = 5

Number of students who have been on TV but not in a play = 7 - 5

                                                                                                    = 2

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AcDNecT
2. A caterer needs to buy 21 pounds of pasta
to cater a wedding. At a local store, 8 pounds
of pasta cost $12. How much will the caterer pay for the pasta there?
a.
Write a ratio for the given information about the cost of pasta.

Answers

If a caterer needs 21 pounds of pasta and a local store sells 8 pounds of pasta for $12, then the caterer has to pay a total amount of $31.5 at the store for their 21 pounds of pasta, calculated using the unitary method.

As per the question statement, a caterer needs 21 pounds of pasta to cater a wedding, while a local store sells 8 pounds of pasta for $12.

We are required to calculate the total amount which the caterer will have to pay at the store for their 21 pounds of pasta.

To solve this question, first we will need to calculate the price of 1 pound of pasta at the local store, from their rate provided in the question statement, and then multiply the cost of unit pound of pasta with the number of pounds the caterer needs, to obtain our desired answer, that is,

Using the unitary method, we get,

The local store sells 8 pounds of pasta for $12,

Or, it then sells 1 pound of pasta for $(12/8)

Or, the cost of 21 pounds of pasta at this store will $[(12/8) * 21] = $31.5

Hence,  the caterer has to pay a total amount of $31.5 at the store for their 21 pounds of pasta.

Unitary Method: In Mathematics, the unitary method is a process of finding the value of a single unit, and then calculating the value of multiple units of the same, but multiplying the value of the single unit with the total number of units.

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Solve each inequality. Graph the inequality if it has a solution. If the inequality has no solution, write no solution. If the solution is true for all real numbers, write infinite solutions. Show work

18 − 5 ≤ 3(6 − 2)

Answers

18 − 5 ≤ 3(6 − 2)

1. Distribute

18 - 5 ≤ 18 - 6

2. Simplify

13 ≤ 12

3. Answer

13 will never be less than or equal to 12, which renders this equation false. This equation has no solutions because it contradicts the principles of the typical numbering system.

in each of the following describe the rate of change between the first and the second, assuming that the first coordinate is measured in minutes and the second coordinate is measured in feet. what are the units of your answer

Answers

Answer: no clue sonny boi but good luck

How many arrangements of the word DARWIN begin and end with a vowel?

Answers

Answer:

The number of arrangements of the word DARWIN beginning and ending with a vowel = 48 ways

Explanation:

The number of letters in DARWIN = 6

The vowels are "A" and "I"

Number of vowels = 2

Number of ways of arranging the two vowels that will be at the beginning and end = 2! = 2 x 1 = 2 ways

There are 4 remaining letters after excluding the vowels

Number of ways of arranging the 4 remaining letters = 4!

Number of ways of arranging the 4 remaining letters = 4 x 3 x 2 x 1

Number of ways of arranging the 4 remaining letters = 24 ways

Therefore, the number of arrangements of the word DARWIN beginning and ending with a vowel = 2 x 24

The number of arrangements of the word DARWIN beginning and ending with a vowel = 48 ways

Help me please
There is a file attached

Answers

In the picture, there is graph with a line. The equation of the line is

2x+y-1=0.

Given that,

In the picture, there is graph with a line.

We have to find the equation of the line in the graph.

The equation of a line can be constructed using the slope of the line and a point on the line.

The equation for a line traveling through a point (x₁,y₁) and having a slope of m is given as follows: y-y₁=m(x-x₁)

Additionally, this equation can be resolved and condensed into the equation of a line in its usual form.

Here, we have points (0,1) and (1,-1).

Slope of the line m=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m=(-1-1)/(1-0)

m=-2/1

m=-2

We got Slope of the line m=-2

Take point (0,1)

y-1=-2(x-0)

y-1=-2x

2x+y-1=0

Therefore, the equation of the line from the given graph is 2x+y-1=0.

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what is the product of the HCF and LCM of 12 ,18,30

Answers

The product of the HCF and LCM of 12 ,18,30 can be written as 1080.

What is HCF and LCM?

The H.C.F.  can be described as the greatest factor  that can be found when expressing given two or more numbers, on the other hand the LCM can be described as the least factor that exist between a two given number.

factors of 12 are: 3, 4, 2, 6, 12.

factors of 18 are: 2, 3 , 6 9 , 18

factors of 30 are ; 2, 3, 6, 5, 10

HCF; The factor that is greatest among the factors of the numbers = 6

To calculate the LCM, we need to find to find the prime factor of the three numbers as:

Prime factor of 12 are ;  2*2*3

Prime factor of 18 are ; 2*3*3

Prime factor of 12 are ; 2*3*5

LCM is now the multiplication of the prime factors which is the highest occurrence of them in either numbers as ; 2*2*3*3*5 =180

From the given numbers we can see that the HCF = 6 and LCM = 180, then if we find the product as (6*180)=1080 which is the number of the product of the lowest common factor as well as the highest common factor.

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I’m confused on what to do

Answers

Answer:

8 Gallons

Step-by-step explanation:

The question is asking you how many gallons it takes to travel 184 miles given that 138 miles took 6 gallons

You first divide 138 by 6 to find the Miles Per Gallon

138 ÷ 6 = 23
This means that each gallon was 23 miles

Now you divide 184 by 23 to find how many gallons it took to drive 184 miles.

184 ÷ 23 = 8
This means that it took 8 Gallons for Josiah to travel 184 Miles

solve 3/5k -5 = 7/10k by eliminating the fraction

Answers

Answer:

follow these steps to find your answer

The value of k after eliminating the fraction in 3/5k -5 = 7/10k is 7.

To get the answer follow the given steps below:

3 / 5 k - 5 = 7 / 10 k

Step 1 => 3 (10 k) = 7 (5 k - 5)               by cross multiplying the numerator                  and denominator of both the sides.

Step 2 => 30 k = 35 k - 35                    multiplying 5 inside the brackets with 5k - 5

Step 3 => 35 = 5 k

Step 4 => 5 k = 35

Step 5 => k = 35 / 5                               dividing

           => k = 7

Hence the value of k after eliminating the fraction is 7.

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3 (3x + 10) = 120 solve for x and simplify your answer as much as possible

Answers

Answer:

x = 10

Step-by-step explanation:

3(3x+10) = 120

Expand: 9x + 30 = 120

Cross sides: 9x = 120-30

Simplify: 9x = 90

Divide : x = 90\9

x=10

Step by Step:
3(3x+10)=120
Take the 3 that is not in the parentheses and multiply it with the 3x and the 10 to make
9x+30=120
Cross the sides so the X variable is by itself
9x=120-30
Subtract
9x=90
Simplify (90/9=10)
X=10

If G(x)=-3x+5 find: G(0)

Answers

Answer:

G(0) = 5

Step-by-step explanation:

substitute x = 0 into G(x) , then

G(0) = - 3(0) + 5 = 0 + 5 = 5

What is the x-intercept for function f?

f(x) = −23x + 8

Answers

Answer:

-13

Step-by-step explanation:

Jos is 33 younger than his father. The product if their ages is 658. How old is Jos?

Answers

Answer:

Jos is 14 years

Step-by-step explanation:

Let Father's age be x

[tex]{ \tt{father = x}} \\ { \tt{jos = x - 33}}[/tex]

- The question says, product of their ages is 658

[tex]{ \tt{x(x - 33) = 658}}[/tex]

- Open the brackets following distributive property;

-

[tex]{ \tt{ {x}^{2} - 33x = 658 }} \\ { \tt{ {x}^{2} - 33x - 658 = 0 }}[/tex]

- Using bulldozer method;

[tex]{ \tt{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]

- A general quadratic equation has a format ax² + bx + c = 0

b is -33a is 1c is -658

[tex]{ \tt{x = \frac{ - ( - 33) \pm \sqrt{ {( - 33)}^{2} - (4 \times 1 \times - 658)} }{2 \times 1} }} \\ \\ { \tt{x = \frac{33 \pm \sqrt{3721} }{2} }} \\ \\ { \tt{x = \frac{33 \pm61}{2} }} \\ \\ { \tt{x = \frac{33 + 61}{2} \: \: or \: \: \frac{33 - 61}{2} }} \\ \\ { \tt{x = 47 \: \: \: or \: \: \: - 14}}[/tex]

- Father's age = 47 years

- Jos's age = (47 - 33) = 14 years

Answer: Jos is 14 years old

Step-by-step explanation:

Let Jos is x years old

Hence, father is (x+33) years old

[tex]x(x+33)=658\\\\x^2+33x=658\\\\x^2+33x-658=658-658\\\\x^2+33x-658=0\\\\a=1 \ \ \ \ \ b=33\ \ \ \ \ c=-658[/tex]

[tex]\displaystyle\\x=\frac{-bб\sqrt{D^} }{2a} \\\\D=b^2-4ac\\\\D=33^2-4(1)(-658)\\\\D=1089+2632\\\\D=3721\\\\\sqrt{D}=\\\\ \sqrt{3721}=\\\\61\\\\ x=\frac{-33б61}{2(1)}\\\\ x=\frac{-33-61}{2}\\\\x=-47\notin\\\\x=\frac{-33+61}{2} \\x=\frac{28}{2} \\\\x=14[/tex]

Write all classifications that apply to the real number 10

Answers

10 is a natural number, whole number and an integer.

Natural numbers may be defined as the numbers which include all the positive integers that is non-negative integers, and the numbers will be from 1 to infinity. 10 is a natural number as it lies in the range from 1 to infinity. Whole numbers may be defined as the numbers which include all the positive integers as well as zero. So, the range of whole numbers is from zero to infinity and 10 is a whole number as it lies in this range. Integers may be defined as the collection of positive and negative numbers along with zero but no fractions. 10 lies in this range so 10 is an integer.

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im the figure shown, f || x and k || w and m<3=20°. Choose the list which includes all of the other angles that measure 20°.

Answers

We have that the angles that are congruent with m<3=20° are the ones that we can see in the image in red

m<3=m<1=m<5=m<7=m<9=m<11=m<14=m<16=20°

The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?

Answers

Answer:

40%

Step-by-step explanation:

the fraction is 20/50 which x2 is 40/100 and that times 10 (for percent) is 40, so 40%

Answer:

40% of the jerseys are medium-sized

Step-by-step explanation:

Total = 50 jerseys

20 medium-sized

50 x 2 = 100

20 x 2 = 40

40/100 = 40%

Therefore, 40% of the jerseys are medium-sized.

Hope this helps!

You live near a bridge that goes over a river. The underside of the bridge is an arch that can be modeled with the function y = -0.000475x² + 0.851x, where x and y are in feet. How high above the river is the bridge (the top of the arch)? How long is the section of bridge above the arch?

Answers

The bridge is 895.79 feet above the river.

The length of the section of the bridge above the arch is 179.58 feet.

The underside of the bridge is in the shape of an arc.

The height of the bridge is represented by the function,

y = - 0.000475x² + 0.851x

Now, when the height will be maximum, dy/dx = 0

Therefore,

dy/dx = (d/dx)( - 0.000475x² + 0.851x )

dy/dx = - 0.00095x + 0.851 = 0

- 0.00095x + 0.851 = 0

Subtracting 0.851 from each side,

- 0.00095x = - 0.851

Dividing each side of the equation by 0.00095

x = 895.7895 feet ≈ 895.79 feet

Therefore, the maximum height of the bridge is h = 895.79 feet.

The length of the section is represented by x,

y = - 0.000475x² + 0.851x

To obtain the x-intercept, we put y = 0:

- 0.000475x² + 0.851x = 0

x ( - 0.000475x + 0.851) = 0

Therefore,

x = 0 and,

- 0.000475x + 0.851 = 0

- 0.000475x = - 0.851

x = 1791.58 feet

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6. Elena is planning to go camping for the weekend and has already spent$40 on supplies. She goes to the store and buys more supplies. Whichinequality represents d, the total amount in dollars that Elena spends onsupplies? *d > 40Od 240Od<40Od 540

Answers

Given

Elena is planning to go camping for the weekend and has already spent $40 on supplies.

She goes to the store and buys more supplies.

To find which inequality represents d, the total amount in dollars that Elena spends on supplies.

Now,

Let d be the total amount in dollars that Elena spends on supplies.

Since Elena has already spent $40 on supplies and bought more supplies.

Then, the amount spent by Elena on supplies is,

[tex]d>40[/tex]

Hence, the answer is a) d>40.

use the quadratic formula to solve the equation 2x^2-11x=1

Answers

we have the equation

2x^2-11x=1​

2x^2-11x-1=0

where

a=2

b=-11

c=-1

substitute in the quadratic formula

[tex]x=\frac{-(-11)\pm\sqrt[]{(-11)^2-4(2)(-1)}}{2(2)}[/tex][tex]x=\frac{11\pm\sqrt[]{129}}{4}[/tex]

the solutions are

[tex]x=\frac{11+\sqrt[]{129}}{4}\text{ and }x=\frac{11-\sqrt[]{129}}{4}[/tex]

i need help cuz im dooky poopoo at math

Answers

My boy I don’t think even Brainly knows how to do that just take the F

Callan goes for a hike every Saturday. Callan hikes at a rate of 6 kilometers per hour.
Complete the table for the given ratio.
Hours, a
1
3
4
Kilometers, y
6
Plot the ordered pairs (x, y) from the table on the following graph.
Kilometers (y)

Answers

The table can be given as for 3 hours we have 18 km and for 4 hours we have 24km, founded by using average.

What is average and how to calculate it?Average is the ratio of the sum of all elements of the dataset to the number of elements in the dataset. To calculate the average we first find the sum of all elements of the dataset and divide it by the number of elements.

So, we are given that Callan hikes at a rate of 6 km an hour.

In this way, he will hike 18 km in 3 hours.

And 24 km in 4 hours.We can plot this using graphs.

(Refer to the graph attached below)

Hence, using averages, we know that the table can be given as for 3 hours we have 18 km and for 4 hours we have 24km.

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Ms. Ambrose paid $10 for 1.25 pounds of almonds. How much did the almonds cost per pound?

Answers

1.25:10=1:X
10=1.25X
X=8

what would the answer be for this? The quotient of two times a number and 3 is no more than 10.
(It has to be greater than or equal to.)

Answers

Answer:

3n/10

Step-by-step explanation:

Is the graph of [tex]4x+5y=\frac{3}{7}[/tex] a line? Explain.

Answers

We can say that the graph of 4x+5y = 3/7 is a line because it can be represented by the straight line equation.

What exactly is a line equation?

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This number c is known as the y-axis intercept.

How do you graph an equation using the slope and y-intercept?Calculate the y-intercept of the equation y = mx + b.Calculate the y-intercept. The main point will be (0, b).Calculate the slope=m of the equation y = mx + b.Use the rise and run from the slope to make a single step.Make a line connecting those two points.

Given equation :   4x+5y = 3/7

The given equation can be written as

5y = -4x + 3/7

y = (-4/5)x + 3/35

This is a form of y = mx + c

It is a the equation of the straight line.

Therefore, we can say that the graph of 4x+5y = 3/7 is a line as it can be represented as the equation of the straight line.

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This is geometry
Please and Thank you :)

Answers

Answer:

(-x, y) is the correct answer. Drawing a graph may help.

In the figure below, I || m. Find x.

Answers

Answer:

x=67

Step-by-step explanation:

you have to do 80+x=147 then you subtract 80 on both sides and get 67 as your answer

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