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Is it a Function?
Instructions: Determine whether the following relationship is a function.
You're headed to the bank with two friends to exchange your American dollars for the South
African currency rand, for an upcoming trip to South Africa. You and one friend both plan to
exchange $100. If you go first and then your friend goes right after you, think about what you
would expect about the amount of rand you both get back. Does the relationship between dollars
turned in and rand received represent a function?
Is it a function? No
Check

[tex]\text{Given that,}~ p(x) = x^2 +3 ~ \text{and}~ h(x) = \sqrt{x-3} \\\\(p \circ h)(x)\\\\=p(h(x))\\\\=p\left(\sqrt{x-3}\right)\\\\=\left(\sqrt{x-3} \right)^2 +3\\\\=x-3 +3\\\\=x[/tex]

Answer:

1 +√21 + 1 - √21
2 2

Step-by-step explanation:

Answer:

2.5 seconds.

Step-by-step explanation:

h(t) = -4t^2 + 20t

= -4(t^2 - 5t)

Convert to vertex form by completing the square:

h(t) = -4[(t - 2.5t)^2 - 6.25]

     = -4(t - 2.5)^2 + 25    <--------- vertex form

So the vertex is at the point (2.5, 25).

So the athlete reaches the maximum height ( of 25 feet), after 2.5 seconds.

Answer:

C. 1/3

Step-by-step explanation:

there are 48 possible outcomes, and out of those 16 of them have a sum of 3.

16/48

simplify

1/3

Answer:

  C.  ΔABC ~ ΔDEF

Step-by-step explanation:

The operators in the different answer choices are used to describe different kinds of relations.

  A.  "almost equals" or "is approximately"

  B.  "equals"

  C.  "is similar to" (tilde operator)

  D.  "is congruent to"

__

Additional comment

"Congruent" is used to describe geometrical figures in which all corresponding measures are identical. "Equal" generally refers to the relationship between algebraic or numerical values or expressions.

"Is approximately" is used to describe values that are the same within a suitable tolerance or error range. For example, 23.4 ≈ 23.352, where the value on the left has been rounded to the nearest tenth. (It is within 0.05 of the value on the right.)

For the horizontal segment, the value of the ordinate will not change. Then the second point will be (x, 3.5).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The point is given as (3, 3.5).

Then name a second point so that the two points form a horizontal segment.

For the horizontal segment, the value of the ordinate will not change.

Let x be the abscissa.

Then the point will be given as (x, 3.5).

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Step-by-step explanation:

product=× three=3 a number is unknown =x plus=+ five=5 is=equals to 20

3×x +5=20

3x+5=20

Subtract 5 from both sides

3x+5-5=20-5

3x=15

3x/3=15/3

x=5

Answer: The mean of the data is 278.

Step-by-step explanation:

To the the mean of the data, we’ll have to add all the numbers up and divide it by the amount of data.

275+279+279+276+278+277+280+282+284+270=2780

2780/10=278

The volume of the cone that has a radius of 8 in. and a height of 10.5 in. is: 703.7 in.³

Volume = 1/3πr²h

Given the parameters:

Volume of the cone = 1/3πr²h = 1/3π(8²)(10.5)

Volume of the cone = 1/3π(64)(10.5)

Volume of the cone = 703.7 in.³

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Answer:

224Pi inches cubed

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have a rotation angle of 360 °, take out the known values ​​(360 ° -90 ° -144 ° = 126), 144 ° is part of a flat angle of 180 °, from 180 ° remove 144 and you have 36 °, they are opposite angles therefore the same. therefore 360 ​​- 144 - 90 - 36 - 36 = 54.

54 is 3x, so x = 18 ° (54 : 3 = 18)

Answer:

10

Step-by-step explanation:

Formula :

Finding a₅ :

Finding a₆ :

The statement third “by highlighting one of the benefits that comes from reading” is correct.

Reading is a thinking process that entails interpreting words in deriving information.

We have statements about the importance of reading:

According to the PSA, the correct statement about the importance of reading is by highlighting one of the benefits that comes from reading.

Thus, the statement third “by highlighting one of the benefits that comes from reading” is correct.

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Answer:

C

Step-by-step explanation:

The graph is shown below. Then the linear system crosses each other at (1.5, 5).

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear equations are given below.

y = 5 ...1

2x + y = 8 ...2

The graph is shown below.

By equations 1 and 2. Then we have

2x + 5 = 8

     2x = 3

       x = 1.5

Then the lines cross each other at (1.5, 5).

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              - - - - - - - - - - - - - - - - - - - - - - - - - -- -

[tex]\diamond\large\textsf{\textbf{\underline{Question:-}}}[/tex]

          ✥ 19 more than the number c is 4.

[tex]\diamond[/tex] [tex]\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

◆ First, the word "more" indicates that we add.

Here we have 19 more than c, so we add c plus 19, which looks as follows:-

 ✳︎ [tex]\sf{19+c}[/tex]

This expression is equal to 4:-

✳︎[tex]\sf{19+c=4}[/tex]

If you also need to find c, subtract 19 on both sides:-

So we conclude that the value of c is -15.

         - -- - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

19 + c = 4

Step-by-step explanation:

Given:

We know that:

Therefore, we can make the following replacements:

When we replace the bolded text in the statement, we get;

⇒ 19 more than the number c is 4

⇒ 19 more than the number c is 4                       ["19" ⇒ "19"]

⇒ 19 + than the number c is 4                            ["more" ⇒ "+"]

⇒ 19 + c is 4                                             ["than the number c" ⇒ "c"]

⇒ 19 + c = 4                                                            ["is" ⇒ "="]

⇒ 19 + c = 4                                                            ["4" ⇒ "4"]

Thus, the expression/equation that represents the statement is [tex]\small\text{19 + c = 4.}[/tex]

The correct probability expression is (a) P(a) = three-fifths

Using the data in the complete question, we have:

n(A) = 3

n(U) = 5

The probability of A is then calculated using:

P(A) = n(A)/n(U)

This becomes

P(A) = 3/5

Hence, the correct probability expression is (a) P(a) = three-fifths

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Answer:

It’s A my friend

Step-by-step explanation:

i did the quiz

yw :)

hope i helped/ made life easier

Answer:

23.5

Step-by-step explanation:

let's take the number as X

2X+20=66.3

2X=66.3-20

X=23.15

Answer:

the more successful school is A

with a percentage pass rate of 74 % (to the nearest whole number)

Step-by-step explanation:

The percentage pass rate of school A :

(284÷386)×100 = 73.575129533679 %

The percentage pass rate of school B :

(154÷220)×100 = 70 %

73.575129533679 > 70

Then ,the more successful school is A

with a percentage pass rate of 74 % (to the nearest whole number)

Answer:

x = 4/7, 5

Please mark Brainliest :)

Answer:

x = 4/7 or x = 5

Step-by-step explanation:

Step 1: Add to 3 to both sides

Step 2: Factor by grouping

This equation is in the form ax² + bx + c = 0. Since there are no terms that multiply to 20 and add to -39, we have to find terms that multiply to a (7) * (20) and add to -39.

Now, we split -39x into -35x and -4.

Next, we factor each expression in the parentheses. After that, we put the terms outside the parentheses together. Reminder, the terms inside the parentheses should be the same.

Step 3: Solve for x using 7x - 4 = 0 and x - 5 = 0.

or

Answer:

Step-by-step explanation:

A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?

12 meters = 12000 mm

(1m = 1000 mm)

12 * 1000 = 12000

Answer:

It's Store C

Hope this helps :)

Step-by-step explanation:

Got it right on USA TEST PREP :)

Answer:

the answer is x=7 and -7

Hope this helps!!

Answer:

2 pounds.

Step-by-step explanation:

We have been given that Luke bought 256 ounces of strawberries. He divided them evenly between 8 different pies. We are asked to find the pounds of strawberries that Luke put on each pie.

First of all, we will convert 256 ounces into pounds.

We know that 1 pound equals 16 ounces. To convert 256 ounces into pounds, we need to divide 256 by 16.

[tex]256[/tex] [tex]ounces=\frac{256}{16}[/tex] [tex]pounds=16[/tex] [tex]pounds[/tex]

Now we will divide 16 pounds by 8 to find number of strawberries put on each pie.

[tex]Pounds[/tex] [tex]of[/tex] [tex]strawberries[/tex] [tex]on[/tex] [tex]each[/tex] [tex]pie=\frac{16}{8}[/tex]

[tex]Pounds[/tex] [tex]of[/tex] [tex]strawberries[/tex] [tex]on[/tex] [tex]each[/tex] [tex]pie=2[/tex]

Therefore, Luke put 2 pounds strawberries on each pie.

Answer + Step-by-step explanation:

a) GE = r = GM

Then GEO is an isosceles triangle

b) since GEO is an isosceles triangle  then :

m∠SEG = m∠GOM = measure of the arc GM (mGM)  (result 1)

On the other hand :

m∠SEG = m∠SEG = (1/2)×(mAS - mGM)  (it’s a formula)   (result 2)

Now ,we equate  (result 1) and  (result 2) :

m∠SEG = mGM  

m∠SEG = (1/2)×(mAS - mGM)

Then

mGM = (1/2)×(mAS - mGM)

c) mGM = (1/2)×(mAS - mGM)

⇔ 2mGM = mAS - mGM

⇔ 3mGM = mAS

⇔ 3m∠SEA = m∠SOA

Remember:

mGM = m∠GOM = m∠SEA

The equation of the quadratic function is y = -1/4(x + 2)² + 4

A quadratic equation is represented as:

y = ax² +bx + c

When x = 0 and y = 3, we have:

3 = a(0)² +b(0) + c

This gives

c = 3

So, we have:

y = ax² +bx + 3

When x = 1 and y = 1.75, we have:

1.75 = a(1)² +b(1) + 3

This gives

a + b = -1.25

Make b the subject

b = -1.25 - a

When x = -2 and y = 4, we have:

4 = a(-2)² +b(-2) + 3

This gives

4a - 2b = 1

Substitute b = -1.25 - a in 4a - 2b = 1

4a - 2(-1.25 - a) = 1

Expand

4a + 2.5 + 2a = 1

Evaluate the like terms

6a = -1.5

Divide both sides by 6

a = -1/4

Substitute a = -1/4 in b = -1.25 - a

b = -1.25 + 1/4

Evaluate

b = -1

So, we have:

y = -1/4x² - x + 3

Factor out -1/4

y = -1/4(x² + 4x) + 3

-------------------------------------------------

Take the coefficient of x

k = 4

Divide by 2

k/2 = 2

Square both sides

(k/2)² = 4

-------------------------------------------------

Add and subtract 4 inside the bracket of y = -1/4(x² + 4x) + 3

y = -1/4(x² + 4x + 4 - 4) + 3

Expand

y = -1/4(x² + 4x + 4) + 1 + 3

Evaluate the sum

y = -1/4(x² + 4x + 4) + 4

Express the bracket as a perfect square

y = -1/4(x + 2)² + 4

Hence, the equation of the quadratic function is y = -1/4(x + 2)² + 4

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Answer: Choice B

It is not a valid sample because it is not a random sample of the population.

Explanation:

The researcher should have randomly selected the participants, either by picking names out of a hat, using a random number table, or some kind of computer software to pick the names. Letting the first 8 people form the sample is very likely not representative of the population at large. We have a lot of bias here. Therefore, this is not a valid sample.

Answer: The answer to your first question is b^2+2b-8. You second answer is y^2-4y+3.

Step-by-step explanation: Now, these questions deal with the FOIL method commonly taught in schools. The FOIL method is to turn factored binomials back into quadratics. Let's first go over what FOIL means.
F - First. So you multiply the first terms in each set of parenthesis, so b times b and y times y make b squared and y squared.
O - Outer. Multiply the two outer terms together, so b times -2 and y times -3. Remeber to pay attention to your signs when you multiply during these probelms!
I- Inner. Multiply the two inner terms together. so 4 times b and -1 times y. Again, make sure the signs are incorporated!
L - Last. Multiply the last terms in the binomials. So 4 times -2 and -1 times -3.

Now that we have our numbers, we have expanded quadratics that look like these:
b^2 -2b+4b-8 and y^2-3y-y+3

Now combine the two middle terms into +2b and -4y, and your answers are b^2+2b-8 and y^2-4y+3.

When two lines form vertical angles, then the angles are equal in measure. This is true.

Vertical angles are angles opposite each other where the two lines cross. When two lines meet a third line at the same angle, those lines are not parallel.

There are no parallel lines in spherical geometry. On the globe, all the lines of longitude meet the equator at the right angle.

Three lines can form two triangles. This is true as three noncollinear points determine the triangle in spherical geometry.

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Answer:

Step-by-step explanation:

12*6.5%=0.72

12+15%=13.8

0.72+13.8=14.52