Answer:
The correct option is;
f(x) = {x - 1 if -3 ≤ x < 1 f(x) = {-3·x + 9, if 2 ≤ x ≤ 4
Step-by-step explanation:
The given coordinates of the points are;
For the first segment
Beginning point [-3, -4] (inclusive)
Endpoint (1, 0), (noninclusive)
For the second segment
Beginning point [2, 3] (inclusive)
Endpoint [4, -3] (inclusive)
The equation of the first segment is therefore;
y - 0 = (0 + 4)/(1 + 3)×(x - 1) = 1 × (x - 1)
y = x - 1
The equation of the second segment is found as follows;
y + 3 = (-3 - 3)/(4 - 2)×(x - 4) = -3 × (x - 4)
y + 3 = -3 × (x - 4) = -3·x + 12
y = -3·x + 12 - 3 = -3·x + 9
Therefore, we have;
f(x) = {x - 1 if -3 ≤ x < 1 and f(x) = {-3·x + 9, if 2 ≤ x ≤ 4
-4x2 + 2x - 5(1 + 3)
What expression is equivalent to the given expression?
or +
x2 +
Answer:
-4x^2 -3x -5
Step-by-step explanation:
If you eliminate parentheses and collect terms, you get ...
-4x^2 +2x -5(1 +x)
= -4x^2 +2x -5 -5x
= -4x^2 +x(2 -5) -5
= -4x^2 -3x -5
Researchers randomly divide participants into groups. Each group takes a different amount of omega-3 fatty acid supplements daily for a month. One group receives a placebo. The researchers measure the impact on cholesterol levels in the blood. What is the purpose of random assignment in this experiment
Answer:
To increase the accuracy of the research results and prevent skewness in the data
Step-by-step explanation:
Random assignment is a measure taken in experiments to ensure that there is no pattern in the qualities of individuals chosen for the study. This would ensure that any results obtained from the experiment can be rightly attributed to the research treatments and not to any other factor. It helps to eliminate bias in choosing the participants of the study. The researcher randomly assigns subjects to the treatment and control groups.
In the experiment described above, random assignment is necessary as it would ensure that participants do not have shared characteristics which could be a possible cause of the results obtained from the study and not the omega-3 fatty acid supplements administered.
The freeman family is barbecuing veggi burgers corn on the cobs and mushrooms caps in their local park if 3/8 of the items are barbecued are veggie burgers and 1/3 of the items are barbecued are corn on the cobs what fraction of barbecued items are mushrooms caps
Answer:
7/24
Step-by-step explanation:
The distance around the outside of a building is 0.5 mile. Eli biked 0.72 of the distance during his free period. How far did he bike?
Answer:
0.36 miles
Step-by-step explanation:
Stop & Shop is having a sale on paper towels: 5 rolls for $3. How much will 7 roll(s) cost?
Answer:
4.2 rightttttrttr or no
Juan ran the lemonade stand for 3 more days
Answer:
We need more information to be able to answer your question.
Can anyone help with this question
Answer: A) x=6
Step-by-step explanation: my trick that i do with these questions are to just fill in the x's with the different choices that they give you.
so... first try out 6. fill in every x with a 6. so now, x isn't x anymore, it's 6.
(8-6)=2
9 times 2= 18
3 times 6= 18
this means that x would equal 6
if that first one doesn't work, try out the other ones. but this one works, so we know we have the right answer. i hope this helps with this problem, and i hope it helps with other problems like this too.
:)
Find the extraneous solution of the equation |4x−42|=−10x.
Answer:
x=3 is the extraneous solution
Step-by-step explanation:
|4x-42| = -10x
Since it's absolute value and we know that there are two possibilities, we need two equations to set up to solve for x.
1st equation:
4x - 42 = -10x2nd equation:
4x - 42 = 10xSolve both equations for x:
1st equation:4x - 42 = -10x14x-42 = 014x=42x = 32nd equation:4x-42=10x-6x-42=0-6x=42x=-7Plug in both values for x in the original equation to find the extraneous solution:
x=-7
|4x-42|=-10x|4(-7)-42|=-10(-7)|-28-42|=70|-70|=7070=70x=3
|4x-42|=-10x|4(3)-42|=-10(3)|-30|=-3030≠-30You are holding a gift, that has a mass of 9.5 kg. Calculate the weight of the gift,
Answer:
93.1 N (Newtons)
Step-by-step explanation:
I know it is hard for you to understand this question, so ill make it as easy as possible.
There's a difference between mass and weight
Mass is the amount of matter while WEIGHT IS THE AMOUNT OF FORCE EARTH ATTRACTS AN OBJECT TO ITS CENTER. That means that we have to calculate the weight.
The formula for that is:
Force = Mass * gravitational constant
Here, the gravitational constant means the acceleration at which earth attracts an object to itself. The value of gravitational constant is normally taken as '9.8m/s²' if the value is not given. If it is then replace the given value and calculate the answer.
Ok so heres the equation:
F= 9.5 kg x 9.8 ms
F= 93.1 N
I know it took too long to explain, but it was needed because I could see that you were confused between mass and weight
+ if u think the anwer is good so plz mark it the branliest uwu
The ratio of pennies to dimes is 3:5. If there are 15 dimes how many pennies are there?
Answer:
9
Step-by-step explanation:
Step 1:
3 : 5 = x : 15
Step 2:
5x = 45
Answer:
x = 9
Hope This Helps :)
It takes 3 men 5 hours to repair a road. How long will it take 5 men to do the job if they work at the same rate?
hours
Answer:
8 hours and 1 min
Step-by-step explanation:
3men=5hours
5men=x
cross multiply
5x5=3x
25=3x
divide both side by 3
x=8hrs and 1 min
An entire music store is offering a deal : buy 2 albums and revive a third album for $8.99, another album for $12.95. And a third album for $5.99. How much will joe pay for all 3 albums?
Step-by-step explanation:
If I'm not wrong it should be 27.93
Determine the value of y, if x is 5.
y = x2-7
Answer:
y=3
Step-by-step explanation:
y= x*2-7 x=5
y= 5*2-7
PEMDAS states you do multiplication then addition
y= 10-7
y= 3
Hope this helps!
i need to finish my homework
Which input value produces the same output value for
the two functions on the graph?
X = -1
X = 0
X = 3
X = 4
Answer:
x = 4
Step-by-step explanation:
The input values are the x-values represented in the graph while the output values are the y-values.
The x-coordinate of the point at which the line of the two functions intersect, f(x) and g(x), is the input values that produces the same output values for both functions.
Thus:
For f(x), when x = 4, y = 3. That is f(4) = 3.
Also, for g(x), when x = 4, y = 3. That is g(4) = 3.
Therefore, the input values that produces the same output values for both functions is x = 4.
Answer:
D: x = 4
Step-by-step explanation:
just took the test :-)
7. In name the bisected angles 1 and 2. If is 4x 3y, can be determined in terms of x and y? If so, state in terms of x+ y expression and explain your reasoning.
Answer:since there is no diagram i will answer to the best of my ability.
Step-by-step explanation:
If an angle is bisected then it is divided into 2 equal angles which i think they are naming 4x and 3y. In this case, 4x=3y. Solving for x, we get x= (3y)/4. Solving for y we get y= (4x)/3. Now if we substitute (4x)/3 for y in the equation x= (3y)/4 then x= (3(4x)/3)/4 = 4x/4=× so then we can say x÷y = measure of original angle that was bisected. Or znother way it can be said is x+y = 2x or x+ y =2y.
Random sampling eliminates_____
in choosing a sample.
Answer:
bias by giving all individuals
Step-by-step explanation:
Answer:
Hey!
I think your answer should definitely be BIAS
Step-by-step explanation:
Picking a choice RANDOMLY removes the likelihood of the person picking BEING BIASED as they have no view / analysis of the options!
I HOPE THIS HELPS!!
Which of the following can be represented by the equation y=2x
Answer:
table a
Step-by-step explanation:
because just look
Two pounds of sugar cost $1.40. How much sugar do you get per dollar? Round your answer to the nearest hundredth, if necessary.
Answer:
1.429 lbs per dollar of sugar
Step-by-step explanation:
multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up
Based on the cost of two pounds of sugar, we can calculate the quantity of sugar to a dollar to be 0.7 pounds.
Sugar per dollarYou can find out the quantity of sugar you get per dollar using the formula:
= Price of sugar / Number of pounds
Solving gives
= 1.40 / 2
= 0.7 pounds
In conclusion, you get 0.7 pounds.
Find out more about cost per unit at https://brainly.com/question/24398532.
Chris has 5 1/2cups of water in a pitcher. He pours 3/8 cup of water into a glass. How many cups of water is left in the pitcher? Enter your answer in the box as a mixed number in simplist form?
Answer: The Answer is 5 1/8.
Step-by-step explanation:
Write -0.35 as a mixed number in simplest form
Step-by-step explanation:
[tex] \huge - 0.35 = - \frac{35}{100} = - \frac{7}{20} [/tex]
lauren 3.26 lunch on Tuesday she spent 3.56 on Wednesday and 3.29 on thurday order the prices from greatest to least
Answer:3.56, 3.29, 3.26
Step-by-step explanation:3.56 is bigger than 3.29 and 3.29 is bigger than 3.26
36599 round to the nearest thousand
Answer:
If you round to the nearest thousand, you get; 37,000
PLEASE HELP!!! When baking a cake you can choose between a round pan with a 12 in. diameter and a 8 in.×11 in. rectangular pan. a) Determine the area of the base of each pan. b) If both pans are 2 in. deep, determine the volume of each pan. c) Which pan has the larger volume?
Solve for n. 2n − 35=5
Answer:
n = 20
Step-by-step explanation:
2n − 35 = 5
find: n
2n = 5 + 35
n = 40 / 2
n = 20
Below are the pre-image and image a trapezoid. Choose the correct name of the transformation used to create the image. Group of answer choices Reflection Rotation Translation
Answer:
I think it's a 90 degree rotation
Consider the expression 2 3 (14x − 3) − 3x( 4 5 + 5). Which statements are true about simplifying this expression? Check all that apply. Using the distributive property, the Two-thirds would be multiplied to 14x and to –3. Combining Four-fifths + 5 can be done before multiplying it by 3x. Using the distributive property, 3x times Four-fifths is subtracted, but the 3x times 5 is added. Combining 14x – 3 can be done before multiplying by Two-thirds. Subtracting 3x is the same as adding –3x.
Answer:
1. using the distributive property, the two-thirds would be multiplied to 14x and to –3. 2. combining four-fifths + 5 can be done before multiplying it by 3x. 3. subtracting 3x is the same as adding –3x. (A, B, & E)
Step-by-step explanation:
just finished this lesson lol
Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.
Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.
What is an Expression?An expression is a mathematical statement consisting of variables, constants, and mathematical operators.
The expression is
[tex]\rm \dfrac{2}{3} (14x -3) - 3x( \dfrac{4}{5} +5)[/tex]
Applying Distributive Property
[tex]\rm \dfrac{2}{3} * 14x - \dfrac{2}{3} *3 - 3x * ( \dfrac {4 + 25}{5})[/tex]
Therefore, Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.
Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.
To know more about Expression
https://brainly.com/question/14083225
#SPJ2
Dana saved 450 for food for her upcoming vacation. The breakfast was included with their hotel, but lunch and dinner are not. When Dana cooks lunch or dinner it costs on average 10 . When the family goes to a restaurant for lunch or dinner it costs on average 40 . Let c represent meals that Dana cooks and let r represent meals the family goes to restaurants for. Write an inequality to represent the situation.
Answer:
[tex]10d + 40r \leq 450[/tex]
Step-by-step explanation:
Given
[tex]Savings = 450[/tex]
[tex]Dana\ Cooks, d = 10[/tex]
[tex]Restaurant, r = 40[/tex]
Required
Represent this as an inequality
When Dana cooks;
[tex]Cost\ per\ meal = 10[/tex]
[tex]Cost\ per\ d\ meals = d * 10[/tex]
[tex]Cost\ per\ d\ meals = 10d[/tex]
At Restaurant
[tex]Cost\ per\ meal = 40[/tex]
[tex]Cost\ per\ r\ meals = 40 * r[/tex]
[tex]Cost\ per\ r\ meals = 40 r[/tex]
Add these two results:
[tex]Result = 10d + 40r[/tex]
To represent as an inequality, the above result must be less than or equal to Dana's total savings
i.e.
[tex]10d + 40r \leq 450[/tex]
Corporate bonds from Dagofi Radar are selling at 88.354, bonds from Chambers Translation are selling at 112.894,
and bonds from Essentia Inc. are selling at 96.262. If Roger wants to buy two bonds with a par value of $1,000 each
from Dagofi Radar, five bonds with a par value of $500 each from Chambers Translation, and four bonds with a par
value of $1,000 each from Essentia Inc., how much can he expect to spend?
a. $8,439.91
b. $8,500.00
C. $2,975.10
d. $9,343.97
Answer:
(A) $8,439.91
Step-by-step explanation:
Just took test
In a survey of 18 college students, it was found that 11 were taking an
English class, 6 were taking a math class, and 4 were taking both
English and math. How many students were taking a math class only?
A.7
B.11
C.2
D.5
Answer:
C.)2
Step-by-step explanation:
6-4=2
Answer:
I am choosing C ok it close to correct