Mathematics High School

Which of the following is a true statement about functions?
Look below at image attached

Answers

Answer 1

The true statement about functions is D. If f and g are functions, then (f + g)(-2) = (g + f)(-2).

How to depict the information?

It should be noted that a function is used to define the relationship that's exist between rte variables.

In this case, when f and g are functions, then (f + g)(-2) = (g + f)(-2).

Therefore, the correct option is D.

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Related Questions

use coordinate notation to write the rule that maps each preimage to its image. The identify the transformation and confirm that it preserves length and angle measure. Number 5

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The rigid transformations used for each figure:

Figure 5 - Reflection around x and y axes: (x, y) → (- x, - y)Figure 6 - Horizontal and vertical translations: (x, y) → (x + 1, y - 2)

What transformation rules do create the resulting images?

In this question we must determine what kind of rigid transformations generates each image. Rigid transformations are transformations applied on geometric loci such that Euclidean distance is conserved. Now we proceed to determine the transformation rule for each case:

Figure 5 - Reflection around the x-axis followed by reflection around the y-axis.

(x, y) → (- x, - y)

Figure 6 - Translation one unit in the +x direction and two units in the -y direction.

(x, y) → (x + 1, y - 2)

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How tall is the tower?

Answers

Answer:

x=33ft

height of tower=33+6=39ft

The jones family and the Connor family both bought the same boxed package of sugar cubes at the store, in which the cubes were arranged in 5 layers. After drinking of 61 cups of tea, the Joneses found that they were out of sugar. The Connors' sugar box was enough to last them thought 88 cups of tea. Both families put either 2 or 3 pieces of sugar per cup. How many sugar cubes were in the box

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The number of sugar cubes in the box is 180

How to determine the number of sugar cubes?

The given parameters are:

Layers = 5Pieces = 2 or 3Cups of tea = 61 and 88

Multiply 61 and 88 by 2 and 3

61 * 2 = 122

61 * 3 = 183

88 * 2 = 176

88 * 3 = 264

The number of sugar cubes cannot be 122 and 264, because they are out of the range

So, we have:

183 and 176

There are 5 layers.

This means that the number of sugar cubes is divisible by 5.

The only number between 176 and 183 that is divisible by 5 is 180

Hence, the number of sugar cubes is 180

Answers

An unusual event is an occurrence that has a low probability of happening. The cutoff for identifying unusual events not always be 0.05, because it is not always a good idea to utilize the same cutoff to spot unexpected occurrences.

What is an unusual event?

An unusual event is an occurrence that has a low probability of happening.

If an event is improbable, its likelihood is zero. If an occurrence is unavoidable, its probability is one.

The probability of an event happening increases as it gets closer to 1. An occurrence that has a probability of 0.375, for instance, is more likely to happen than one with a probability of 0.125.

The less likely an event is to occur, the closer the probability is to 0. An unusual event is what this kind of event falls under. A probability of 5%, or 0.05, is typically regarded as unusual event.

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Identify the term that means the difference of the minimum and maximum values of a data set and the term that means the difference of the first quartile and third quartile of a data set.

Answers

Answer:

Range: Difference of minimum and maximum values of a data set

Interquartile Range: Difference of first quartile and third quartile of a data set

Step-by-step explanation:

Answer: what he said

Step-by-step explanation:

? Question
What are coordinates of the point representing the location of the other end of the string of buoys?
Type the correct answer in each box. Use numerals instead of words.

Answers

See below for the explanation on how to determine the coordinates.

How to determine the coordinates?

The question is incomplete, and the missing parameters cannot be found.

So, I will give a general explanation on how to determine coordinates.

Assume that the start point of the buoy is

(x, y)

And the length of the buoy is k.

Depending on the position of the bouy on the coordinate plane, the endpoint can be any of the following coordinates (x - h, y), (x + h, y), (x, y + h) and (x, y - h)

Answers

Completely factored form of Wen's polynomial is (6x² + 7) (x-2).

What is a polynomial?

An algebraic expression called a polynomial includes coefficients and variables. Indeterminates are another name for variables. For a polynomial expression, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents, but division by variable is not possible. Although a polynomial can have multiple number of terms, it can't be infinite.

Factorizing the polynomial

Complete factorization of a polynomial results in products-of-sums

Given polynomial is,

6x³ - 12x² + 7x - 14

This polynomial can be factorized as follows,

6x² (x - 2) + 7(x - 2)

Now, we can factor out the common term (x-2) form each term on either side of the plus operator. thus, we get the following factors,

(6x² + 7) (x-2)

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Answer:

Answer is A :)

Step-by-step explanation:

Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis. Which congruency statement is true?

On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
Angle G is congruent to angle H is congruent to angle I
Angle G double-prime is congruent to angle H double-prime is congruent to angle I double-prime
Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime
Triangle G H I is congruent to triangle I H G

Answers

The congruency statement which is true among the answer choices is;

On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

Which congruency statement is true?

According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.

On this note, the congruency which are true regarding the transformation are;

On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.

Answers

Answer: 0.200 g

Given: Half life of Sm-146 = t1/2 = 103.5 million years

Time period, t = 1.035 billion years = 1035 million years

The original mass of the sample, [A]₀ = 205 g

To determine:

Amount of sample after t = 1035 million years

Explanation:

The rate of radioactive decay is given as:

Answer:

A: 0.200 g.

Step-by-step explanation:

Which linear function has the same y-intercept as the one that is represented by the graph? On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3). a y = 2 x minus 4 b y = 2 x minus 3 c y = 2 x + 3 d y = 2 x + 4

Answers

The line which is having same y intercept as the line which passes through points (-4,0) and (0,3) is y=2x+3.

Given Points through which the line passes through are (-4,0) and (0,3)

We have to find the equation whose y intercept is equal to the y intercept of the line whose points given above.

First of all we have to find the y intercept of the line which passes through (-4,0) and (0,3). Equation of line is :

y-y1=(y2-y1)/(x2-x1)*(x-x1)

y-0=(3-0)/(0+4) *(x+4)

y=3/4(x+4)

y -intercept exists where x=0

put x=0

y=3

So the options are:

y=2x-4y=2x-3y=2x+3y=2x+4

By putting the value of x in all options we will find

y=-4

y=-3

y=3

y=4

So the third option is correct.

Hence the line whose y-intercept matched with the given line is y=2x+3.

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Answer:

Step-by-step explanation:

After four years of higher education, Julia just graduated with a Bachelor's degree in Engineering from USC where the annual cost of tuition was $22,000. She paid for college by earning $11,000 annually through the work study program and receiving an annual scholarship. She covered the remainder of the costs by taking out $12,000 in student loans. If she didn't fund her education with savings or grant money, what was the amount of Julia's annual academic scholarship?

Answers

Answer:

$32,000

Step-by-step explanation:

overall cost for 4 years was $88,000. She made $44,000 after 4 years. After all 4 years she had to take out $12,000 to pay. 88,000-44,000=44,000 44,000-12,000=32,000

Answer:

$8,000

Step-by-step explanation:

Tuition per year: $22,000

Work Study Earnings per year: $11,000

Student Loans per year: $12,000 / 4 = $3,000

Annual Academic Scholarship per year: $x

Per Year Calculations

$22,000 = $11,000 + $3,000 + $x

$x = $22,000 - $11,000 - $3,000

$x = $8,000

A bag contains 14 good eggs and 7 bad ones. if one egg is picked at random fr the bag what is the probability that it is goods

Answers

Answer:

2/3

Step-by-step explanation:

expected over total

14/14+7 = 14/21 = 2/3

[tex]bad \: eggies = 7 \\ good \: eggies = 14 \\ total \: number \: of \: eggs = 21[/tex]

[tex]let \: event \: a = getting \: a \: good \: egg[/tex]

[tex]p(a) = \frac{number \: of \: good \: eggs}{total \: number \: of \: eggs} = \frac{14}{21} = \frac{2}{3} [/tex]

A right cylinder has a radius of 2 units and a height of 5 units. a right cylinder has a radius of 2 units and a height of 5 units. what is the volume of the cylinder? round to the nearest tenth.

Answers

The volume of the cylinder given the radius and the height is 562.2 cubic units

Volume of cylinder

Radius, r = 2 unitsHeight, h = 5 units

Volume of a cylinder = πr²h

= 3.14 × 2² × 5

= 3.14 × 4 × 5

= 562.2 cubic units

Therefore, the volume of the cylinder is 562.2 cubic units.

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Answer:62.8

Step-by-step explanation:

just took the test

does 3:3 or any full ratio equal 1:1?

Answers

Answer:

yes

_____________________________

you can look at 3:3 as 3/3 which is 1

and 1:1 = 1/1 which is also 1

the ratio sign also means divide.

_____________________________

hope this helps :)

WHICE group of domain-specific words belongs only to math domain

Answers

Answer:

The major field of anthroplogy and evolutionary and paleo anthropological perspectives on the origin of humankind

Question 9 of 25
Which of the sequences is an arithmetic sequence?
OA. -3, -10,-17, -24, -31, ...
OB. 3, 6, 9, 15, 24,...
OC. 1, -2, 3, 4, 5, ...
OD. 1, 8, 16, 24, 32, ...

Answers

Answer:

Step-by-step explanation:

an arithmetic sequence is B

Answer:0c

Step-by-step explanation:

What is thirty six times thirty eight divided by three

Answers

Answer:

456

Step-by-step explanation:

What is thirty six times thirty eight divided by three

36 * 38 : 3 =

1368 : 3 =

456

The answer equals 456 because 38 times 36 equals 1,368 and divided that by three which will equal to 456

Nathan received $1,500 dollars for his birthday. He saves 3/5 of his money. 6/20 of his money was used to buy a new game. How much money does he have left?

Answers

Answer:

$150

Step-by-step explanation:

→ Find 3/5 of 1500

( 1500 ÷ 5 ) × 3 = 900

→ Find 6/20 of 1500

( 1500 ÷ 20 ) × 6 = 450

→ Find the sum of the 2 numbers

900 + 450 = 1350

→ Minus it from the original 1500

1500 - 1350 = $150

A boy had a packet of 320 candies with 2 different flavours. 7/16 were orange flavour and the rest were lemon. He gave his friend 30 orange candies and some lemon ones. As a result, the ratio of the number of orange candies to that of lemon became 11:15. How many lemon candies did he give his friend

Answers

30 lemon candies he give his friend.

It is given that a boy had 320 candies. There were 2 flavors. 7/16 were orange flavor and the rest were lemon. He gave his friend 30 orange candies and some lemon ones.

320 (7/16) = 140 were orange

320 - 140 = 180 were lemon

Let x be the number of lemon ones he gave away

So,

[ 140 - 30 ] / [ 180 - x ] = 11/15

110 = (11/15) ( 180 - x )

(15/11) (110) = 180 - x

150 = 180 - x

x = 180 - 150 = 30

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Can someone help me. What number is it can anyone help?

Answers

Step-by-step explanation:

2k=3×4

2k=12

2k/2=12/2

k=6

Answer:

k = 6

Step-by-step explanation:

In Ratio Questions , The Denominator takes the same Ratio as the Numerator and vice versa

so for Question , 4 is double 2

Then k must be double of 3

Then k=2*3 = 6

If 9: x= x4, then x=

Answers

Answer:

x = ±6

Step-by-step explanation:

9 : x = x : 4

9/x = x/4

Cross multiply.

x² = 9 × 4

x² = 36

x = ±√36

x = ±6

△TUS∼△CBS

Two similar triangles. Triangle TUS is similar to triangle CBS. Segment BU and segment CT pass through point S. Side TU and side BC are horizontal. Side BS has a length of 8 point 5. Side CS has a length of 7 point 5. Side US has a length of 42 point 5. The length of side TS is unknown, and is labeled x.

What is the value of x?

Enter your answer as a decimal in the box.

x

=

Answers

The value of x from the diagram is 42. 5

How to determine the value

Since we have that △TUS∼△CBS

Line BS = 8. 5

Line CS = 7. 5

Line US = 42. 5

TS = x

To find TS, we can see that line US is equivalent in length to line TS

If line US = 42. 5, then line TS = 42. 5
TS = x = 42. 5

Thus, the value of x from the diagram is 42. 5

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Writing an Equation from a Graph
10
8
*
x
-10 8 6 4
2 4 6 8 10
-2
-6
-8
-10-
Intro
6
Yo
2469 9
Study the graph of the line. Use the drop-down menu
to find its equation.
The equation of the line is
Done

Answers

Answer:

y = x + 2

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 )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-0}{0-(-2)}[/tex] = [tex]\frac{2}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = x + 2 ← equation of line

what is the value of 2/3 + 1/2 of (1/2 - 1/6) / 2/3 + 1/4

Answers

Answer:

In fraction form: 77/24

In decimal form: 3.20833

Step-by-step explanation:

That took me a while to solve but that’s the correct answer.

Hope that helps! :)

What is the answer, been stuck for 20 minutes.

Answers

Answer:

y= -1/2x - 4 ?

Step-by-step explanation:

In the figure below AOD is a diameter of the circle cetre O. BC is a chord parallel to AD. FE is a tangent to the circle. OF bisects angle COD. Angle BCE = angle COE = 20° BC cuts OE at X
Calculate;
(a) angle BOE
(b) angle BEC
(c) angle CEF
(d) angle OXC
(e) angle OFE

Answers

Step-by-step explanation:

∠ACB=90∘

[∠ from diameter]

In ΔACB

∠A+∠ACB+∠CBA=180∘

∠CBA=180∘

−(90+30)

∠CBA=60∘ (1)

In △OCB

OC=OB

So, ∠OCB=∠OBC

[The sides are equal]

∠OCB=60∘

∠OCD=90∘

∠OCB+∠BCD=90°

∠BCD=30∘ (2)

∠CBO=∠BCO+∠CDB

[external ∠ bisectors]

60=30+∠CDB

∠CDB=30° (3)

from (2) & (3)

BC=BD

[The ∠.S are equal]

How many pages should the manufacturer advertise for each cartridge if it wants to be correct 99% of the time

Answers

The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time

z-score is the number of standard deviations from the mean value of the reference population

99%=0.99

The z-value associate with 0.99 is 2.33:

2.33 = (X - 12425) / 595:

X - 12425 = 2.33 * 595

X = (2.33 * 595) + 12425

X = 138111

Therefore, The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time

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Question 4(Multiple Choice Worth 1 points)
(08.03 LC)

What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a?

x = the quantity of negative 3 plus or minus the square root of 29 all over 2
x = the quantity of 3 plus or minus the square root of 29 all over 2
x = the quantity of 3 plus or minus the square root of 11 all over 2
x = the quantity of negative 3 plus or minus the square root of 11 all over 2

Answers

i know its the frist or second one i did the test i am also in flvs :)

It’s the quaintly of negative 3 plus or minus the quarter root of 29 all over 2

Box of 24 chocolate contains 6 cream-filled. What is the probability of randomly selecting a cream filled
Chocolate

Answers

The probability of randomly selecting a cream filled

Chocolate is 1/4

Probability is the likelihood of an event will occur Probability of an event is find out by divide the number of favorable outcomes by the total number of possible outcomes. The simplest example is flipping of a coin. There are only two possible outcomes when you flip a coin. It wiil be either heads or tails.Total probability is always lie between 0 and 1

Let E be the event of selecting cream filled chocolate.

Number of favourable outcome = 6

Total number of possible outcome = 24

Probability if selecting a cream filled chocolate = 6/24

= 1 / 4

Hence, the probability of randomly selecting a cream filled chocolate is 1/4

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To use the two sample t procedure to perform a significance test on the difference of two means, we assume:

Answers

We assume that the population standard deviation are known, the samples from each population are independent, the population is normally distributed if we use t test of two samples.

Given T test of significance has been used.

T test is a statistical test that is like z test. Z test is used when n>30 and t test is used when n<30. It is used in hypothesis testing.

We know that there are many test which can be used to test a hypothesis.

The requirements to perform a two sample t procedure are as follows:

1)The two samples have equal variance. Hence the variance should be known.

2) The samples for which the two sample t procedure is performed must be independent.

3) The data are in alignment with the normal distribution probability.

4) The sample are random samples taken from different respective population.

Hence when two sample t procedure is performed we have to assume population standard deviation is known and population is normally distributed.

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Which of the following is a true statement about functions? Look below at image attached

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Which of the following is a true statement about functions?
Look below at image attached