Evaluate the function it at x = -1 and x = 5.
P(x)=
x²+2 if x <4
2x+10 if x >4

Answers

Answer 1

Answer:

  f(-1) = 3

  f(5) = 20

Step-by-step explanation:

When evaluating a piecewise-defined function, the first step is to locate the argument value in the correct domain. Then the corresponding function is evaluated in the usual way.

__

For x=-1, the relevant piece is the one defined for x < 4:

  f(x) = x² +2

  f(-1) = (-1)² +2 = 3

__

For x=5, the relevant piece is the one defined for x > 4:

  f(x) = 2x +10

  f(5) = 2(5) +10 = 20

_____

Additional comment

The function written in this problem statement is "undefined" at x=4, so the graph would ordinarily show a "hole" there. We're not sure whether that is intentional.

Evaluate The Function It At X = -1 And X = 5.P(x)=x+2 If X &lt;42x+10 If X &gt;4

Related Questions

I need help on this question

Answers

Answer:

c

Step-by-step explanation:

I think its c because there is no relation between 2x-1 and 4-x ,it is not equals its + because there is no equals in a straight angle

there are 15 boys and 10 girls in mrs.rogers class what is the ratio of boys to girls ?

Answers

Answer: The ratio of boys to girls in Mrs.Rogers class is 15 to 10.

Step-by-step explanation:

Ratio
= boys : girls
= 15 : 10
=15/10
= 3/2
= 3:2
Hence the ratio of boys to girls is 3:2

-8 (-3.3) Multiply (-3.3) how many times? Move from 0 to where? Product:​

Answers

Answer:

8 times

I hope this helps you

:)

8 times i am pretty sure

A parking garage charges a fixed amount of money for each hour that it is used.

Answers

Ok what is the rest of the question

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Using the Pythagorean theorem:

X^2 = 10^2 + 24^2

X^2 = 100 + 576

X^2 = 676

X = sqrt(676)

X = 26


answer: 26

Answer:

26 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets solve!!

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

Now lets find the square root!!

[tex]\sqrt{676}[/tex] = 26

Have an amazing day!!!

Please rate and mark brainliest!!

HELP PLEASE URGENT!!!!!

Answers

Answer:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

θ=π/4+2πn, 3π/4+2πn, for any integer n

Step-by-step explanation:


Lesson 4.03
Madame Dumas has a rather extensive art collection and the overall value of her collection has been
increasing each year. Three years ago, her collection was worth $250,000. Two years ago, the value of the
collection was $525,000 and last year, the collection was valued at $1,102,500.
Assume that the rate at which Madame Dumas's art collection's value increase remains the same as it has
been for the last three years. The value of the art collection can be represented by a geochetric sequence.
The value of the collection three years ago is considered the first term in the sequence.
A) Write an explicit rule which can be used to determine the value of her art collection n years after that.
B) Use this rule to determine the value of her collection 9 years after she started tracking its worth rounded
to the nearest dollar

Answers

Using a geometric sequence, it is found that:

a) The explicit formula is: [tex]a_n = 250000(2.1)^{n-1}[/tex].

b) The value of her collection 9 years after she started tracking is of $94,557,148.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

Item a:

Three years ago, her collection was worth $250,000, hence the first term is [tex]a_1 = 250000[/tex].

In two years, the collection was valued at $1,102,500, hence the common ratio is:

[tex]q^2 = \frac{1,102,500}{250,000}[/tex]

[tex]q^2 = 4.41[/tex]

[tex]q = \sqrt{4.41} = 2.1[/tex].

Hence, the explicit formula is:

[tex]a_n = 250000(2.1)^{n-1}[/tex]

Item b:

[tex]a_9 = 250000(2.1)^{9-1} = 94557148[/tex]

The value of her collection 9 years after she started tracking is of $94,557,148.

More can be learned about geometric sequences at https://brainly.com/question/11847927

A survey on healthy choices was given to gym members at Work It Out. The results showed that 90% of its members drank protein shakes. Of the members who drank protein shakes, 30% took weight-loss medication whereas only 10% of members who did not drink protein shakes took weight-loss medication. What is the probability that a gym member does not take weight-loss medication?

Answers

Answer:

63%

Step-by-step explanation:

First, create an easy number to start being able to grasp the concept.

Let us start with 100 members of "Work it Out"

90% drank protein shakes, which translates to 90 people.

30% of 90 people took weight loss medication, this is equal to 27 people. The 10% of the members that didn't take protein shakes (10) took weight loss medication. Add 10 to 27, then subtract from 100 to get the people that don't use weight loss medication. This gets us 63, then put over the total number of members to get 63%.

Hope this helps, and please mark me brainliest! :)

Answer:

63%

Step-by-step explanation:

Mark other person, I don't have a good explanation

Zack looks at the clock and sees the hands have made a 90° angle. He realizes he has 2 hours before basketball practice starts. Which could be the angle formed by the hands of the clock when practice starts?

Answers

The angle formed by the clock is its degree measure

The angle formed by the hands of the clock when practice starts is 30 degrees

How to determine the possible angle?

The current angle is given as:

Angle = 90 degrees

The basketball practice starts at:

Practice = 2 hours earlier

An hour in time represents 30 degrees.

So, the angle formed when the practice starts is

Angle = 90 degrees - 2 * 30 degrees

Evaluate

Angle = 30 degrees

Hence, the angle formed by the hands of the clock when practice starts is 30 degrees

Read more about angle measures at:

https://brainly.com/question/24775470

chose the measurement that is about 12 feet.
the height of a house
the length of a 5 dollar bill
the width of a bed

Answers

Answer:

'12 feet'

Step-by-step explanation:

Of these threee measurements, '12 feet' is closest to the height of a house.

How do I find the lengths of JK and JM?

Answers

Answer: Jk is 5 units and JM is 6 units. Have a great day.

Answer: j k is 5 and j m is 6 I think

Step-by-step explanation:

1. Find the values of a and b. The diagram is not to scale. 121 354​

Answers

Answer:

3 or it could also be 1 ( also like demon slayer me tooo )

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

answer is 3

a^2 + b^2 = c^2
4^2 + b^2 = 5^2
16 + b^2 = 25
b^2 = 25 - 16
b^2 = 9
b = square root of 9
b = 3

How do I know if a score is good or not on a math map test

Answers

Answer:

on the math and reading test, 240 (reading) and 250 (math) are typical top scores.

Step-by-step explanation:

In lancaster, the library is 9 miles due south of the courthouse and 4 miles due west of the
community swimming pool. what is the distance between the courthouse and the community
swimming pool? if necessary, round the nearest tenth.

Answers

use brainly to find the answer

please help me....asap

Answers

Answer:

a.

Step-by-step explanation:

the study is on teens, and its impossible to survey every teen since they didnt specify how many teens there were. so the answer is a, survey 100 teens.

The prime factorization of 100 is 4 X 25. Show a
factor tree!


Answers

Answer: hope this helps

Step-by-step explanation:

100
/ \
4 25
/\ /\
2,2 5,5

The volume of a cylinder is 256pi in3. and the height of the cylinder is 1 in. What is the radius of the​ cylinder?

Answers

Answer:

9.03

Step-by-step explanation:

the formula is V=pir2h

(pi, radius squared, and height)


Can someone help me understand on how to simplify this ?

Answers

Answer:

So first you have to make all the denominaters (bottom #s) the same so we would get 12/20-8/20+5/20 and you would solve this to equal 9/20 and to divide it by 1/6 would equal 2 7/10.

Hope this helps! (pls read the comment for free gift cards)

Mrs. Reyes had some apples. If she gave each student 3 apples, she would have 2 apples left have. If she gave each students 4 apples each she would be 2 short. How many apples did she have.

Answers

Answer:

14 apples

Step-by-step explanation:

Let

Number of apples = aNumber of students = s

According to question we have equations

a = 3s + 2a = 4s - 2

Find the number of students by substitution

3s + 2 = 4s - 24s - 3s = 2 + 2s = 4

Find the number of apples

a = 3*4 + 2 = 12 + 2 = 14

Answer:

14 apples

Step-by-step explanation:

Let x = number of students

Let y = total number of apples

Create a system of equations with the given information.

Equation 1

If she gave each student 3 apples, she would have 2 apples left:

⇒ y - 3x = 2

Equation 2

If she gave each students 4 apples each she would be 2 short:

⇒ y - 4x = -2

Rewrite Equation 1 to make y the subject:

⇒ y = 2 + 3x

Substitute this into Equation 2 and solve for x:

⇒ (2 + 3x) - 4x = -2

⇒ 2 + 3x - 4x = -2

⇒ 2 - x = -2

⇒ -x = -4

⇒ x = 4

Substitute the found value of x into the rewritten Equation 1 and solve for y:

⇒ y = 2 + 3(4)

⇒ y = 2 + 12

⇒ y = 14

Therefore, Mrs Reyes had 14 apples.

The question is what is the range of the function shown on the graph above?

Answers

Answer:

0 ≤ y ≤ 7

Step-by-step explanation:

Hey there! :)

Please see an explanation for better understanding, and let me know if you have any questions!

What is Range?

Range in Function means set of all y-values. We know by the graph that y-value is a vertical value while x-value is horizontal value. From the graph, we have y-axis which is vertical line and x-axis which is horizontal line.

For this question, I would like you to focus on y-value instead, at best, only. That is because we are finding the range, as said above that range is the set of all y-values.

Steps

To find the range in graph, first, you must understand that range starts from minimum point/value to maximum point/value. Therefore, we will have to find y-values for both points and combine the interval.

From the graph, we see that there are two points given which are (-6,0) and (9,7). Since (-6,0) is the minimum point because below y = 0, there exists no values. On the other hand, (9,7) is our maximum point because above y = 7, there exists no values.

Focus only y-values, for both points, we have y = 0 and y = 7. Since range is minimum < y < maximum - for opened dots of both points or minimum ≤ y ≤ maximum - for closed dots for both points.

In case if you don’t know what opened dots and closed dots are. Opened dots are white dots while closed dots are colored dots, usually dark ones.

Thus, from the y-values of both point, our range is 0 ≤ y ≤ 7

An item is regularly priced at $25 . It is now priced at a discount of 60% off the regular price. What is the price now?

Answers

Step-by-step explanation:

sp = mp-d%*mp

= $25-60/100*$25

=$10

now the price of an item is $10.

Marisols bedroom has an area of 29. 76 square meters. the length of the room is 6. 2 meters. what’s is the width

Answers

Answer:

  4.8 m

Step-by-step explanation:

The area of a rectangle is the product of length and width. This relation can be used to find any of the dimensions when the other two are known.

__

Here, we know area and length, so we can find width.

  A = LW

  W = A/L = (29.76 m²)/(6.2 m) = 4.8 m

Mariosol's bedroom is 4.8 meters wide.

Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.

Answers

The wedge is an illustration of arc lengths, and Tyler's ledge is larger than Priya's wedge

How to determine the larger wedge?

From the question, the arc length of Tyler's wedge is:

L = 12 cm

For Priya's wedge, we have the following highlights:

Radius = 9 cm

Angle = 60 degrees i.e. the angle when a circle is divided into 6 sectors

Priya's arc length is then calculated as:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

This gives

[tex]L = \frac{60}{360} * 2 * 3.14 * 9[/tex]

Evaluate

L = 9.42

By comparing the arc lengths 9.42 and 12 cm, we have 12 cm > 9.42 cm

Hence, Tyler's ledge is larger than Priya's wedge

#SPJ1

Read more about arc lengths at:

https://brainly.com/question/15589041

What is the answer this math problem. -6+ -(8x - 3)

Answers

Answer:

x = -3÷8

or x = -0.375

Explanation:

-6+ -(8x-3)= -6-8x+3

= -8x -3

-8x-3= 0

-8x = 3

8x = -3

x = -3÷8

f g(x) = 2x + 2, find g(a + h) - g(a).

Answers

Answer: 2h

Step-by-step explanation:

round to the nearest whole number

Answers

Answer:

SA = 527.52 cm²

Step-by-step explanation:

Cone SA = πr(r + √(h² + r²))

π = 3.14r = 7h = ?

Find h

Step 1. Create a right triangle with the radius (attached image)

Step 2. Pythagorean Theorem

a² + b² = c²

7² + b² = 17²

b² = 289 - 49

b = √240

b or h = 4√15

Solve for SA

SA = πr(r + √(h² + r²))

SA = 3.14 · 7 · (7 + √(4√15² + 7²))

SA = 21.98(7 + √(240 + 49))

SA = 21.98 (7 + 17)

SA = 527.52 cm²

Hope this helps!

Please help me with this problem I’m very confused and cannot figure it out

Answers

There has to be a common denominator in order to add fraction.
1 / a + b and 5 / 2 ( a + b)

the common denominator would be 2(a+b) therefore multiple thé first fraction by 2, and the second by 1.

2 / 2(a + b) + 5 / 2(a + b)

2 + 5 = 7
the denominator stays the same
so 7 / 2(a + b)

The radius,R, of a sphere is8.2mm . Calculate the sphere's volume,V .
Use the value 3.14 for[tex]\pi[/tex] , and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answers

( Sphere’s volume ) = 4 x 3.14 x r^3 / 3

The answer is 2308.4

Ms. O'hara brought 2 bags of cookies and 1 pie from Carl. She paid with a $20 bill. What is the total amount of change, in dollars, Ms. O'hara should receive?

A bag of cookies sells for $3.
A pie sells for $8.

Answers

Answer:

$6.00 (Six dollars)

Step-by-step explanation:

Two bags of cookies = $6 (2 x $3)

One pie = $8

$6 + $8 = $14

$20-$14 = $6

Ms. O'hara should receive $6 in change.

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