Answer:
m = -5.3
Step-by-step explanation:
-39.75 = 7.5m
Divide both sides by 7.5 to get m alone
-39.75/7.5 = 7.5m/7.5
-5.3 = m
Hope this helps:)
Answer:
m= -5.3
Step-by-step explanation:
-39.75=7.5m
(divide both sides by 7.5)
-5.3=m
3.3 Practice - Piecewise Functions
Find the value of the given function at the indicated domain value.
-X2 - 5x + 2, x < 1
2x2 - 2x + 1,
xs-6
g(x) = x3 - 5x, 1 < x < 11
h) =
3x – x3 -3
3x - 16,
X > 11
(2x - (x - 100
x > 1
1. g(1) =
2. g(11) =
3. h(5) =
4 h(-10) =
5. g(-1) =
6. h(0) =
7. g(20) =
8. h(-4)=
Answer:
Step-by-step explanation:
1. g(1) = (1)³ - 5(1) = - 4
2. At x = 11 function g(x) is not defined,
3. h(5) = 2(5) - | 5 - 10 | = 5
4 h( - 10) = 2( - 10)² - 2(- 10) + 1 = 221
5. g(- 1) = - (- 1)² - 5(- 1) + 2 = - 1 + 5 + 2 = 6
6. h(0) = 3(0) - (0)³ = 0
7. g(20) = - √[3(20) - 16] = - 2√11
8. h(- 4) = not defined
The value of each function is shown below.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
From the given function we can find the values as:
g(1) = x³ - 5x
g(1) = 1³ -5 = -4
2. For x= 11 the function g(x) is not defined.
3. h(5) = 2x - |x -10|
h(5) = 4
4. h(-10) = 2x² - 2x + 1
h(-10) = 221
5. g(-1) = -x² -5x + 2
g(-1) = 6
6. h(0) = 3(0) - (0)³
h(0) = 0
7. g(20) = - √[3(20) - 16]
g(20) = - 2√11
8. h(- 4) is not defined for the function h(x).
Learn more about function here:
https://brainly.com/question/21145944
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of a car for $40,300 at 2.5% add on rate for 5 years. What is the APR?
Answer:
$45,337.5
Step-by-step explanation:
1. 2.5 * 5 = 12.5
2. $40,300 + 12.5%
Hope This Helps :)
When you convert 3,500,000,000,000 to scientific notation, the exponent
Answer:
The exponent is positive, and the exponent is 12
Step-by-step explanation:
A political candidate has asked you to conduct a poll to determine what percentage of people support her.
If the candidate only wants a 5% margin of error at a 99% confidence level, what size of sample is needed?
Give your answer in whole people.
ME=8%=0.08
CL=90%=1.645
n=?
Answer:
666
Step-by-step explanation:
From this question,
a = 1-99%
a = 1-0.99
a = 0.01
5% = z(0.05) = 2.58 when we check the standard normal table
Therefore we calculate n as:
n = (z/E)²*p*1-p
Z = 2.58
E = 0.05
P = 0.5
1-p = 0.5
(2.58/0.05)²x0.5x0.5
= 51.6²x0.5x0.5
= 665.64
Therefore n is approximately 666.
The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4100 square hours. A consumer agency took a random sample of 26 such bulbs and tested them. The variance of the lives of these bulbs was found to be 5900 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. Test at the 20% significance level whether the variance of such bulbs is different from 4100 square hours. a)The value of the test statistic x is 15.743; we fail to reject the null hypothesis. b)The value of the test statistic x is 32.859; we fail to reject the null hypothesis. c)The value of the test statistic y is 32.859; we reject the null hypothesis. d)The value of the test statistic is 35.976; we fail to reject the null hypothesis. e)The value of the test statistic is 15.743; we reject the null hypothesis. f)The value of the test statistic x is 35.976; we reject the null hypothesis.
Answer:
124345
Step-by-step explanation:
Whoever does will get brainiest. And extra points
A person can walk at a rate of 2 ½ miles per hour. How long would it take the person to walk 10 miles? *
1 point
15 minutes
4 hours
10 hours
25 hours
2. A certain map uses a scale of 1 inch equals 25 miles. How many miles are represented by 5 inches on this map? *
1 point
5
25
50
125
3. A company makes 5 blue cars for every 3 white cars it makes. If the company makes 15 white cars in one day, how many blue cars will it make? *
1 point
9
13
17
25
4. Miranda enlarged a picture proportionally. Her original picture is 4cm wide and 6 cm long. If the new, larger picture is 10 cm wide, what is its length? *
1 point
8 cm
12 cm
15 cm
20 cm
5. The practice range at a golf course charges $4.00 for a bucket of 40 golf balls. At this rate, how much will a bucket of 100 golf balls cost? *
1 point
$10.00
$10.50
$13.50
$16.00
6. A model of a park was built on a scale of 1.5 cm to 50 m. If the distance between two trees in the park is 150m, what is this distance on the model? *
1 point
0.5 cm
4.5 cm
75 cm
225 cm
7. Jerry read a 200 page book in 10 hours. At that rate, how long will it take him to read a 320 page book? *
1 point
16 hours
18 hours
24 hours
32 hours
A total of 710 tickets were sold for the school play . They were either adult tickets or student tickets. There were 60 more student tickets sold than adult tickets. How many adult tickets were sold ?
Answer: 325
Explanation:
Let the number of adult tickets be x
( since there are an unknown amount of tickets for adults, we already know how many student tickets there are)
Let the number of student tickets be x+60
710=x+x+60
710=2x+60
-60 -60
650=2x
650/2
= 325
Adult tickets=325
Student tickets=385
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D divides in the ratio 4 : 5, the coordinates of point D are .
Answer:10,-4 and 58/9,-2
Step-by-step explanation:
Plato users
8. Two alarms ring simultaneously
3am in the morning. The first alarm rings every 20
minutes while the second alarm rings
every hour. What time will the two alarms
ring at the same
time for the third time?
Decide which of the two given prices is the better deal and explain why. You can buy shampoo in a 6-ounce bottle for $2.29 or in a 15-ounce bottle for $.10.19
Answer:
The 6 oz bottle
Step-by-step explanation:
When you simplify it to see how much per ounce each costs, the 6-oz has the better price.
2.29/6 = 0.381666....
10.19/15 = 0.6793....
the second bottle cost more per ounce, so the 6 oz bottle has the better deal
*plz brainlist
UH HELP- KAKAKAKAKAJAJ
Answer:
x=1 .................
Evaluate 10,5p + 9,71 when p = 6 and r=7
10.5() +9,7
467.9
10.50 +97([] = []+679
Need help with this
Answer:
It's B. n3 - 4n - 4
Step-by-step explanation:
Hope this helps.. ;)
Find the equatios of the tangents to the curve xy=6 which are parallel to the line 2y+3x=0
y=-3x/2
because gradient =-3/2
and u must use formula (y-y1) = m(x-x1)
Plzz Due today!
The table below represents a linear function f(x) and the equation represents a function g(x): (See pic)
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answer:
Step-by-step explanation:
A.
slope of f(x) remember that m=rise /run and see how you get from point (0,0) to (1,3) for example
m= rise 3/ run 1= 3
slope of g(x) you find by comparing it to y=mx+b wher m is slope and b is intercept so g(x) slope is m = 7
Slope of f(x) is 3 and slope of g(x) is 7 so g(x) go upward faster.
B.
again compare g(x) =7x+2 with y=mx+b where b is the y-intercept
g(x) has y-intercept at (0,2)
we can see from the table that at x=0 the y-intecept is 0
f(x) has y-intercept at (0, 0)
g(x) has a greater y-intercept point
Emily is looking for tickets to see Taylor Swift. Two weeks ago, the tickets were $64. Now the tickets are $80. What is the percent change in the price of tickets? Is it an increase or decrease?
Answer:
25% increase. Hope this in helpful!!
Help! Will give brainliest!!
Answer:
1 no solution
2 5,1
3 7,-2
4 4,5
Step-by-step explanation:
Find the rate of change for the function h(x) = 2–x on the interval –2 ≤ x ≤ -1.
0
-2
4
Plz!!! i really need help with this
Answer:
3002
Step-by-step explanation:
i hope i helped
pls help meeeeeeeeeeee
Answer:
C.
Step-by-step explanation:
It's hard to explain, but trust me :)
5 is subtracted by 4 times a number. 4 times a number is 4x, because x is the unknown number. That would be 4x-5
Then, it says that 4x-5 is greater than 8 times a number. Again, 8 times a number is 8x because x is the unknown number.
And remember, > is greater than, and < is less than.
Hopefully you understand this problem for another time.
HELP ME PLEASEEEEEESS
Answer:
b
Step-by-step explanation:
Tasia’s bank account balance was -$25.64. She deposited a check into her bank account and her new balance is $152.29. How much was the check that Tasia deposited into her account?
Answer:
$177.93
Step-by-step explanation:
Answer:
The check is 177.93$
Step-by-step explanation:
I did 25.64+152.29= 177.93
U can check it by doing -25.64+177.93
What is mZDAR in circle A?
R
B
340
D
B
A
A 56°
B 340
C 68°
D 170
Answer:
68°
Step-by-step explanation:
Since, angle subtended on the circumference of the circle is half angle subtended on the center of the circle.
[tex] \therefore m\angle DBR = \frac{1}{2} \times m\angle DAR\\\\
\therefore 34\degree = \frac{1}{2} \times m\angle DAR\\\\
\therefore 34\degree \times 2= m\angle DAR\\\\
\therefore 68\degree = m\angle DAR\\\\
\therefore m\angle DAR=68\degree[/tex]
Jason is 22 years older than his sister Ann. In 4 years, he will be twice as old as Ann. How old is each of them now?
Answer:
im not sure if this is rite
Step-by-step explanation:
jason=a+22
ann=a
a+22+4=2a+4
a+26=2a+4
a=22
I will give brainliest!!!
Answer:
The price ticket that we know is the adult ticket. The coupon shows that the ticket is good for $28.00. In the redd it shows that you save 4 dollars, so just add 4 to the 28 and the ORIGINAL price of the adult ticket is $32.00.
To find the price of the children's tickets, start with subtracting $28 (this is the price of the adult ticket) from the total of $76 (this is the total number of all the tickets combined).
76 - 28 = 48
Now divide that by 2
48/2 = 24$
So it was $24 per child
you deposit 10,000 in an account that pays 3% annual interest compounded monthly. How much will you have in 5 years?
Answer:
$2,833.59
Step-by-step explanation:
1 $10,000.00 $10,000.00 $511.64 $0.00 $10,511.62 $10,000.00
2 $10,000.00 $10,511.62 $537.79 $0.00 $11,049.41 $10,000.00
3 $10,000.00 $11,049.41 $565.30 $0.00 $11,614.72 $10,000.00
4 $10,000.00 $11,614.72 $594.23 $0.00 $12,208.95 $10,000.00
5 $10,000.00 $12,208.95 $624.63 $0.00 $12,833.59 $10,000.00
Answer:
How do i take questions down like this one?
Step-by-step explanation:
What is 50 decreased by 50%
Answer:
25
Step-by-step explanation:
50% (1/2) of 50 is 25
50-25=25
Answer:
i 100% sure it 25
Step-by-step explanation:
The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test (SAT) in a particular year had a mean of 490 and a standard deviation of 100. The distribution of SAT scores is bell-shaped.
What percentage of seniors scored between 390 and 590 on this SAT test?
Answer:
The value is [tex]P( 390 < X < 590) = 68.3 \%[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 490[/tex]
The standard deviation is [tex]\sigma = 100[/tex]
Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as
[tex]P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( 390 < X < 590) = P( -1 < Z < 1 )[/tex]
=> [tex]P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1 and -1 is
[tex]P(Z< 1 ) = 0.84134[/tex]
and
[tex]P(Z< - 1 ) = 0.15866[/tex]
[tex]P( 390 < X < 590) =0.84134 - 0.15866[/tex]
=> [tex]P( 390 < X < 590) = 0.6827[/tex]
Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as
=> [tex]P( 390 < X < 590) = 0.6827 *100[/tex]
=> [tex]P( 390 < X < 590) = 68.3 \%[/tex]
In the figure below, lines w and z are parallel. What is the value of x
Answer:
x° = 42°
Step-by-step explanation:
x° = 180° - (70° + 68°) = 42°
Order these numbers least to greatest 5/3,1,12/6
Answer:
1,5/3,3 that the answers
I need step by step help on how to work out this percentage question
Answer:
$15.7, $141.3Step-by-step explanation:
Discount
157*0.1 = $15.7Sale price
157 - 15.7 = $141.3