Evaluate the function it at x = -1 and x = 5.
P(x)=
x²+2 if x <4
2x+10 if x >4
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.
Solve the equation in degrees for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures.
The equation is an illustration of trigonometry ratios, and the non-negative values of x are 30 and 270 degrees
How to solve the equation?The equation is given as:
2sin²(x) + sin(x) = 1
Let y = sin(x)
So, the equation becomes
2y² + y = 1
Rewrite as:
2y² + y - 1 = 0
Expand
2y² + 2y - y - 1 = 0
Factorize
2y(y + 1) - 1(y + 1) = 0
Expand
(2y - 1)(y + 1) = 0
Split
2y - 1 = 0 or y + 1 = 0
Solve for y
y = 0.5 or y = -1
Recall that: y = sin(x)
So, we have:
sin(x) = 0.5 and sin(x) = -1
Take the arcsin of both sides
x = sin⁻¹(0.5) and x = sin⁻¹(-1)
x = 30 degrees and x = 270
Hence, the non-negative values of x are 30 and 270 degrees
#SPJ1
Read more about sine ratios at:
https://brainly.com/question/11967894
Ted makes an hour delivering pizzas. if he gets a 5% raise, how much will he make delivering pizzas for 4 hours?
The amount Ted would make from delivering pizzas for 4 hours would be $42.
How much would Ted make?The first step is to determine the increase in Ted's income after the raise: (1.05) x $10 = $10.50
The second step is to determine the total income for 4 hours of work: 10.50 x 4 = $42
Here is the complete question:Ted makes n$10 hour delivering pizzas. if he gets a 5% raise, how much will he make delivering pizzas for 4 hours?
To learn more about multiplication, please check: https://brainly.com/question/3385014
A bag contains 24 ounces of soil. You use 2 7/8 ounces of soil to plant 1 herb.Is there enough soil in the bad to plant 8 herbs?
Answer:
Yes
Step-by-step explanation:
2 7/8x8=23
So you would have enough and one oz left over.
Please help im new here! a library would like to see how many of its patrons would be interested in regularly checking out books from an enlarged print section. they randomly surveyed 200 patrons and 6 patrons responded that they would regularly check out books from an enlarged print section. if the library has a total of 3200 patrons, how many people can they expect to regularly check out books from an enlarged print section?
Answer:
96 people are expected
Step-by-step explanation:
Hello!
We can first convert the surveyed group results into a percentage.
So 3% of the sampled survey were interesetd. To find the actual expected number of patrons, we find 3% of 3200.
3% of 32000.03 * 32009696 people are expected.
Topics:
RatiosPercentage => Fraction => Decimal Key is attached
What do you mean by logarithm???
sam..
Answer:
a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Step-by-step explanation:
hope it helps you<3Hey ojaswii!
Answer:
Logarithm is an exponent or index.
Step-by-step explanation:
John napier invented Logarithm.There're 3 types of logs, however, there're 7 laws of logs.Amazing right?It is used for graphs also.Finally,The Formula...[tex] \boxed{\rm \: log_{l}(l {}^{a} ) = a}[/tex]
Note: This is just a random formula
I expect this helps :)
[tex]\quad{\qquad\qquad\qquad\qquad{\bf ...}}[/tex]
Mia opens a new savings account with $675 from her birthday last week.
* The bank pays 8% annual simple interest
* She makes no other deposits or withdrawals
What would be her total interest in her account, at the end of 4 years?
Answer:
$891
Step-by-step explanation:
This is Your Answer: $891, Steps below
f(x)=3x^2+x f(x)=3x 2 +x \text{Find }f(-5) Find f(−5)
So the equation given is: [tex]3x^2+x[/tex]
What do we find: f(-5)
To find f(-5), we must plug '-5' into the equation in place of the 'x'
[tex]f(-5) = 3(-5)^2+(-5) = 3 * 25 -5=75-5=70[/tex]
Answer: f(-5) = 70
Hope that helps!
(redo for the mistake) + 5 points (also how do I delete may last mistake)
The picture below shows rhombus ABCD with side length 3.16. EC=1 and ED=3.
Find the area of ABCD
Answer:
6
Step-by-step explanation:
The Rhombus is made up of 4 right triangles. To find the area of a right triangle, you have to multiply the length and width and divide it by 2.
1 triangle; 1.5
all triangles; 6
The Area of the Rhombus is 6!
Hope This Helps! :) Please give brainliest if you can!
Draw an illustration using the given information below (you don't need to answer the question itself and assume that the buildings, ladders, etc. are all on the ground)
• A bird sits on top of a 5-meter lamppost. The angle of depression from the bird to the feet of an observer standing away from the lamppost is 35º.
Step-by-step explanation:
here you go also I like your profile picture classroom of elite !
Paul bought 4 DVDs for $9.95 each. What was his total cost?
$39.90
$40.80
$39.80
$38.80
Answer:
$39.80
Step-by-step explanation:
just 9.95 x 4
What type of number is -4/2
Answer:
It is a negative rational number. This is because it is an improper fraction that is equivalent to -2.
Step-by-step explanation:
In January, Mr. Cooper started a new exercise plan weighing 200 pounds. In March, he found his weight had increased by 5% because the exercise had increased his muscle mass. He added some work on the treadmill to his exercise routine found in May that he had dropped 6% from his March weight.
Step-by-step explanation:
100%+5%=105%
105/100*200=210
100%-6%=94%
94/100*210
I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.
What is his rate of commission?______% ( Round to the nearest tenth of a percent)
Answer:
its 10.5
Step-by-step explanation:
If you divide what alex earned by his total sales, you get 10.5%.
giving brainiest and 85 points!
Answer:
12 560 cubic feet
Step-by-step explanation:
radius of circular cross section = 20ft/2 = 10ft
Area of circular cross section = πr²
= 3.14 x 10 x 10
= 314 square feet
Volume of cylindrical tank = 314 ft² x 40ft
= 12 560 ft³
I can’t do this rn does someone know what to do??
Answer:
see image
Step-by-step explanation:
See image. It all on the paper in the picture. Hope this helps! Please mark Brainliest if possible! tysm!
Which of the following are solutions to the equation below?
Check all that apply 25x(squared) - 16 = 0
[tex]~~25x^2-16=0\\\\\implies (5x)^2 -4^2 =0\\\\\implies (5x+4)(5x-4)=0\\\\\implies x = -\dfrac{4}5, ~~~x=\dfrac 45[/tex]
CAN SOMEONE HURRY AND DO THIS AND TY !!!!!
Answer:
8.324
Step-by-step explanation:
The 8 serves as the first digit and the "and " represents a decimal point the remaining numbers go behind that decimal point therefore 8.324.
help me please quick!!!
Answer:
y is 12 degrees
x is 30 degrees
Step-by-step explanation:
If angle ABC is equal to angle MNC, that means 5y equals to 60 degrees. 60 divided by 5 equals 12. So, y equals 12 degrees
2x and 4x equals 180 degrees. So, 180 divided by 6 equals to 30. So x equals 30 degrees
Answer:
x = 30, y = 12
Step-by-step explanation:
2 similar equilateral triangles, each corner is 60 degrees.
2x = 60 degrees
divide by 2
x = 30 degrees
5y = 60 degrees
divide by 5
y = 12 degrees
This can be verified by checking 4x + 2x which gives you 180 degrees forming that straight line angle.
Solve for x and y 6/y - 2/x = 5 2/y + 6/x =5
Answer:
I also searched it before.
Strat time 3:30 pm end time 7:00 pm what is the elapsed time.
Answer:
3 hrs. 30 mins.
Step-by-step explanation:
7:00 - 3:30
What is the product of -1−1 and-8−8?
Answer:
32
Step-by-step explanation:
what is the reciprocal of 0.4
0.4
to find:the reciprocal of 0.4.
solution:it'll be easier if you convert to fraction first, which gives you:
=2/5
then reciprocal:
=5/2
in decimal form= 2.5
–2} -(-5) = 0
-
Can someone please help me
(-2)-(-5)=0
bit 2 minuses= + so:
-2+5=0
3=0
Please help me with this thank you
Answer:
-11x² +14x -11
Step-by-step explanation:
When one polynomial is subtracted from another, each of the terms of the subtrahend is subtracted from the corresponding term of the minuend.
(-2x² +4x -10) -(9x² -10x +1)
= (-2 -9)x² +(4 -(-10))x +(-10 -1)
= -11x² +14x -11
Yvette paid $921 for tires for her car. She got special financing with a 0% interest rate if she paid off the tires in 6 months. How much will she have to pay each month in order to pay off the tires before she will have to pay interest?
a
$183.50
b
$153.50
c
$76.75
d
$92.10
Answer: B
Step-by-step explanation:
In 6 months she will have to pay $921
In 1 month she has to pay [tex]\frac{921}{6}[/tex] = $153.50
Each month, Yvette has to pay $153.50 in order to pay off the tires before she will have to pay interest
Therefore, B is the correct answer
Hello everyone ! I need helps from you ! So , in class we do a control and I get 16 / 20. So I wants a pencentage ! Thanks vers much.
which recurring decimal is equivalent to the Fraction shown ? 9/11
equals a) 0.8 b) 0.18 c) 0.18 d) 0.18'
Using a calculator would show that
[tex]9/11 = 0.818181\ldots = 0.\overline{81}[/tex]
The horizontal line over top means the "81" repeats forever.
You can use long division as an alternative method to getting the answer above.
The radius of a circle can be found by dividing the circumference of the circle by 6. 28 What is the radius of a circle that has a circumference of 17. 27 feet
Answer:
2.75 feet
Step-by-step explanation:
I did the problem with the given instructions, but it really should be 2.74 feet. Instead of dividing the circumference by 6.28, you should divide the circumference by pi, then by two.
Hope this helps! :)
Prove: An even times an even is
an even.
Answer: 4
Step-by-step explanation:
i just guessed and it was right, sorry i don't have a better explanation than that