Answers
9514 1404 393
Answer:
f(x) = {-x for x < 2; 2x-3 for x ≥ 2}
Step-by-step explanation:
The blue line extending to the left has a slope of -1 and a y-intercept of 0. Its equation is y = -x. That part of the definition of f(x) is applicable for values of x less than 2. (The open dot at (2, -2) tells you that point is not included.)
The red line extending to the right has a slope = rise/run = 2/1 = 2. The y-intercept can be found by extending the line to the y-axis, or from the computation ...
b = y -mx
b = 1 -2(2) = -3 . . . . . for the point (x, y) = (2, 1)
Then the slope-intercept equation for the red line is ...
y = 2x -3
That part of the definition of f(x) is applicable for values of x ≥ 2. The solid dot tells you the point (2, 1) is included.
Putting these parts together, we get ...
[tex]f(x)=\left\{\begin{array}{cc}-x&\text{if $x<2$}\\2x-3&\text{if $x\ge2$}\end{array}\right.[/tex]
Related Questions
Select all the expressions that are equivalent to 16x + 36
16(x + 20)
x(16 + 36)
4(4x + 9)
2(8x + 18)
2(8x + 36)
Answers
Answer:
2(8x+18)
multiply the values in the bracket with 2
2×8x=16x
2×18=36
16x + 36
Answer: 2(8x+18) ,4(4x+9)
Step-by-step explanation:
16 x+36 =4(4x+9)=2(8x+18)
11. The cost of oranges at a local grocery store is shown in the table below.
Number of
Oranges
3
7
10
12
Total Cost
$1.26
$2.94
$4.20
$5.04
Which of the following represents the unit rate for the oranges?
O A. $1.68 for 1 orange
OB. $0.84 for 1 orange
O C. $1.26 for 1 orange
O D. $0.42 for 1 orange
Answers
Answer:
D. $0.42 for 1 orange
Step-by-step explanation:
Divide the number of oranges by the corresponding total cost.
Ex. 5.04 ÷ 12 = 0.42
Answer: 0.42
Step-by-step explanation: 0.42+0.42+0.42= 1.26
Can someone help me with these two problems
Answers
Answer:
1》Arc ZWX=180+35=215
2》m<0=2×m<R
m<0=2×37
m<0=74
Hope it helps...
explanation is not right answer but I tried...would u give this a like....don't star it tho....I stopped midway....I thought in first question measure meant length of arc...not angle
Anyway first question actual answer = 180+35= 215°
second question answer= 2*37= 74 (The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference)
Step-by-step explanation:
ANSWER IS WRONG SO DONT CHECK
Angle of half circle is 180°
so <WCX + <XCY + <YCZ = 180°
35° + <XCY + 73°= 180°
108° + <XCY= 180°
<XCY= 180-108
<XCY= 72°
<WCR= <XCZ
<WCR= <XCY + <YCZ
<WCR= 72° + 73°= 145°
<ZCR= <WCX
<ZCR = 35°
Length of arc = theeta (angle)/ 360 * 2πr
length of ZWX= <ZCW +<WXC/ 360 * 2π
I stopped here
2 kg 91 g = __________ g
Answers
Answer:
2091 grams
Step-by-step explanation:
1000 g = 1kg
2*1000 = 2000g + 91g = 2091 g
Answer:
2kg 91 g = _2091_ g
Step-by-step explanation:
Conversion factor: 1 kg = 1000 g
1) kg = g / 1000
2) kg = 2091 / 1000
3) kg = 2.09
student were asked to choose their favorite food and 5/6 chose either pizza or tacos if 2/6 of the students chose pizza what fraction chose tacos
Answers
Answer:
3/6 or 1/2
Step-by-step explanation:
the amount that chose pizza = 2/6
5/6 = the amount that chose pizza + the amount that chose tacos
5/6 = 2/6 + the amount that chose tacos
the amount that chose tacos = 5/6 - 2/6
the amount that chose tacos = (5-2)/6
the amount that chose tacos=3/6=1/2
Answer:
3/6
Step-by-step explanation:
Almost all employees working for financial companies in New York City receive large bonuses at the end of the year. A sample of 62 employees selected from financial companies in New York City showed that they received an average bonus of $47,000 last year with a standard deviation of $15,000. Construct a 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year.
Answers
Answer:
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 62 - 1 = 61
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 61 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.67
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 47000 - 3181 = $43,819
The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population standard deviation is believed to be 3.2 minutes. The EMS director wants to perform a hypothesis test, with a .05 level of significance, to determine whether the service goal of 12 minutes or less is being achieved.
Answers
Answer:
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
The EMS director wants to service goal of 12 minutes or less is being achieved
Step-by-step explanation:
Step(i):-
Given that the size of the random sample = 40
Given that the mean of the sample (x ⁻) = 13.25
Given that the standard deviation of the Population = 3.2 minutes
Level of significance = 0.05
The mean of the Population (μ) = 12
Step(ii):-
Null hypothesis:-H₀: (μ) = 12
Alternative Hypothesis: H₁ : μ < 12
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]
Z = 2.5
The tabulated value Z₀.₀₅ = 1.96
The calculated value Z = 2.5 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
The Alternative hypothesis is rejected
Final answer:-
The EMS director wants to service goal of 12 minutes or less is being achieved
3 Select the correct answer. 52 + 51 + 6 For the rational equation, 1 + 3 = 1 what is a valid value of x? ОА. B. -1 O C. 2 O D. 3 Reset Next
Answers
9514 1404 393
Answer:
B. -1
Step-by-step explanation:
[tex]\dfrac{x^2 +5x +6}{x+3}=1\qquad\text{given}\\\\\dfrac{(x+2)(x+3)}{x+3}=1\qquad\text{factor}\\\\x+2=1\qquad x\ne-3\qquad\text{cancel factors}\\\\x=-1\qquad\text{add $-2$}[/tex]
The only valid value of x is -1.
is finding the perimeter of a figure with all sides of equal length easier tgan finding the perimeter of other figures?
Answers
Answer:
yes, there are fewer numbers to compute.
It's just one length x the number of sides.
Step-by-step explanation:
how do we pass maths
Answers
Answer:
1- Create a Distraction Free Study Environment. Mathematics is a subject that requires more concentration than any other.
2- Master the Key Concepts.
3- Understand your Doubts.
4- Apply Maths to Real World Problems.
5- Practice, Practice and Practice even more.
Which of the following cannot be the side lengths of a triangle?
10, 12, 18
9, 9, 10
3, 11, 15
10, 15, 20
Answers
Answer:
3, 11, 15
Step-by-step explanation:
The two shorter sides add up to 14, which is smaller than 15, therefore making the triangle impossible as the sum of the two smaller sides have to be larger than the longest side
A report summarized a survey of 2305 working adults (representative sample of all working adults). The report indicates that 484 of the working adults surveyed said they were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years. Obtain a point estimate for the population proportion of all working adults who very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years. Select the correct answer, including appropriate notation.
Answers
Answer:
The point estimate for the population proportion of all working adults who very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years is 0.21.
Step-by-step explanation:
Point estimate of a proportion:
The point estimate of a proportion, from a sample, is the sample proportion.
In this question:
2305 working adults, 484 said they were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years. This means that:
[tex]p = \frac{484}{2305} = 0.21[/tex]
The point estimate for the population proportion of all working adults who very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next five years is 0.21.
Find the explicit form of the arithmetic function of p if the first term is 12 and the common difference is 2. Then find the seventh term.
Answers
Answer:
1st
Step-by-step explanation:
Can someone help me with this pls [cry]
Answers
Answer: B
Step-by-step explanation:
JUST DID A QUIZ WITH IT
what is
14+6×(9−6)
PLEASE HELP MEE
Answers
[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]
[tex]174[/tex]
[tex]\large\purple{ChaEunWoo2009}[/tex]
#CarryOnLearning
The owner of a pizza restaurant in France knows that the time customers spend in the restaurant on Saturday evening has mean 90 minutes and standard deviation 15 minutes. He has read that pleasant odors can influence customers, so he spreads a lavender odor throughout the restaurant. Presented are the times, in minutes, for customers on the next Saturday evening.
Answers
Answer:
hello your question is incomplete attached below is the missing part
Question : What is the value of the test statistic
answer : = 5.73
Step-by-step explanation:
Mean value = 90 minutes
std = 15 minutes
Calculate the test statistic
mean value of given data = ∑ x / n = 105.7
since the value of standard deviation is given we will assume a normal distribution
Hence we will apply z test statistics
z = mean value of given data - Mean value / 15 √30
= ( 105.7 - 90 ) / 15 √30
= 5.73
Daria rolls a number cube. What is the probability that it will land on a 1?
Answers
Answer:
1 out of 6 or 16.7%
Step-by-step explanation:
56 + 72 = ( + )
help plz
Answers
Answer:
128 = +
Step-by-step explanation:
56 + 72 = 128 (+)
Can anyone help? The question is at the bottom
Answers
Answer:
Step-by-step explanation:
Answer:
24 is awnser
Step-by-step explanation:
Pls mark me as brainliest
Mr Soto bought some dvds each DVD cost 13.55 if Mr Soto did not spend more Thales 75$ which inequality could be used to find d the number of DVDs Mr. Soto bought
Answers
Answer:
c
Step-by-step explanation:
C is the only equality that no matter what, the value would be $75 or less
A door is 8 feet tall and 4 feet wide. What is the area?
Answers
Answer:
32
Step-by-step explanation:
a door is rectangular in shape
area = length × breadth
8 × 4
32
answer:
The area of the door is 32 square ft
Zachary's rectangle measures 4 1 /4 units by 4 1 /4 units. What is its area?
Answers
Answer:
169/12 square units.
Step-by-step explanation:
14. Enzo needs to buy some sand for his sandbox. He can either buy a
10-pound bag of sand for $18 or a 6-kilogram bag of sand for $20.
a. Which is a better value? Explain.
b. If Enzo needs 18 pounds of sand, what should he buy so that
he spends the least amount of money overall? Explain.
Answers
Answer:
A: 6 kilo bag B: He should buy two 10 pound bags.
Step-by-step explanation:
Brainliest?
The 6-kilogram pack of sand for $20 is a better value. Then the amount of money for 18 pounds of sand will be $27.18.
What is the rate?The rate is the ratio of the amount of something to the unit.
For example - If the speed of the car is 20 km/h which means the car travels 20 km in one hour.
Enzo requirements to get some sand for his sandbox. He can either purchase a 10-pound sack of sand for $18 or a 6-kilogram pack of sand for $20.
The rate in the first case is written as,
⇒ 18/10
⇒ $1.8 per pound
The rate in the second case is written as,
⇒ 20/6
⇒ $3.33 per kilogram
⇒ $1.51 per pound
The 6-kilogram pack of sand for $20 is a better value.
Then the amount of money for 18 pounds of sand will be given as,
⇒ $1.51 x 18
⇒ $27.18
Thus, the amount of money for 18 pounds of sand will be $27.18.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
Rename 5/12 and 7/8 using the least common denominator
Answers
Answer:
10/24 and 21/24
Step-by-step explanation:
So the least number that both 12 and 8 will divide into is 24
so 5x2/24 and 7x3/24 so the fractions are 10/24 and 21/24
Answer:
10/24 and 21/24
Step-by-step explanation:
answers for plato test
Which confidence level will produce the widest confidence interval, given a
sample proportion of 0.6?
A. 95%
B. 80%
C0. 68%
D. 90%
Answers
Answer:
95%
Step-by-step explanation:
Just answer it
What is the volume of the square pyramid
Answers
Answer:
V≈2933.33
Step-by-step explanation:
(explanation in picture)
Please brainliest!
Diego needs rug with an area of 540sq feet what are all the ways to get 540 square feet
Answers
Answer:
260*2
540*1
180*3
135*4
108*5
Step-by-step explanation:
Benny went to 36 baseball games this year he went to 40 games last year how many baseball games did Benny go to in total
Answers
Answer:
76
Step-by-step explanation:
36+40=76
Hope this helps!!
Answer:
76 games in total
Step-by-step explanation:
h(x) = 3x + 5
g(x) = 4x – 2
Find h(x) – g(x)
Answers
Answer:
6
Step-by-step explanation:
seshhhhh is that dababy. he valid
PLZ HELP ASAP!!! 9 equals x over 2 + 2
Answers
just get x alone