Answers
Related Questions
8.F.2: Functions W and Z are both linear functions of x. Which statement comparing the functions is true? Select ALL that apply.
A. The slope of Function W is less than the slope of Function Z.
B. The slope of Function W is greater than the slope of Function Z.
C. The slope of Function W is equal to the slope of Function Z.
D. The y-intercept of Function W is less than the y-intercept of Function Z.
E. The y-intercept of Function W is equal to the y-intercept of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
Answers
*the graph of Function W and table of values of Function Z are in the diagram attached below.
Answer:
B. The slope of Function W is greater than the slope of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
Step-by-step explanation:
To determine which of the statements compare both functions correctly, let's find the slope (m) and the y-intercept (b) of each function given.
✍️Function W:
Slope of Function B, using two points on the line, (0, -1) and (2, 0):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{2 - 0} = \frac{1}{2} = 0.5 [/tex]
✅Slope = 0.5.
y-intercept is the point at which the line intercepts the y-axis. Therefore, the y-intercept, b = -1. The line cuts the y-axis at y = -1. At this point, x = 0.
✅y-intercept = -1.
✍️Function Z:
Slope of Function Z, using two pairs of values from the table of values for function Z, (0, -2) and (2, -1.5):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1.5 -(-2)}{2 - 0} = \frac{0.5}{2} = 0.25 [/tex]
✅Slope = 0.25.
y-intercept is the value of y when x = 0. It is at this point the line of the function of X intercepts the y-axis. From the table given, we can see that when x = 0, y = -2. Therefore:
✅y-intercept = -2.
Thus, the following statements that compares both functions are TRUE:
B. The slope of Function W is greater than the slope of Function Z.
✔️This is TRUE because 0.5 is greater than 0.25.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
✔️This is TRUE because -1 is greater than -2.
Answer: B and F
Step-by-step explanation:
for f(x) = -8x +8, find f(-3)
Answers
Answer:
f(x)=-8x+8
f(-3)
ANSWER: 11/8
Researchers wanted to assess the effect of low alcohol consumption on reaction time in seniors, believing that even low levels of alcohol consumption can impair the ability to walk, thereby increasing the likelihood of falling. They identified 13 healthy seniors who were not heavy consumers of alcohol. The experiment took place in late afternoon. Each subject was instructed to have a light lunch and to not drink any caffeinated drinks in the 4 hours prior to arriving at the lab. The seniors were instructed to walk on a treadmill on which an obstacle would appear randomly. The reaction time was measured by determining the time it took the senior to lift his or her foot upon the appearance of the obstacle. First, each senior walked the treadmill after consuming a drink consisting of water mixed with orange juice with the scent and taste of vodka. The senior was then asked to drink two additional drinks (40% vodka mixed with orange juice). The senior then walked on the treadmill again. The average response time increased by 19 milliseconds after the alcohol treatment. The researchers concluded that response times are significantly delayed even for low levels of alcohol consumption.
A) What type of experimental design is this?
B) What is the response variable in this experiment? Is it quantitative or qualitative?
C) What is the treatment?
D) What factors were controlled and set at a fixed level in this experiment?
E) Can you think of any factors that may affect reaction to alcohol that were not cont rolled?
F) Why do you think the researchers used a drink that had the scent and taste of vodka to serve as the treatment for a baseline measure?
G) What was the conclusion of the study? To whom does this conclusion apply?
Answers
Answer:
See explanation
Step-by-step explanation:
The matched pair experimental design was used here. In this type of design, the experimental units are paired up . Different individuals receive different treatments. A popular type of matched-pairs design is this; a response variable's effect on an experimental unit is measured before and after a treatment is applied.
Reaction time is the response variable here . It is quantitative because it can be counted or measured.
The treatment was water mixed with orange juice with the scent and taste of vodka and subsequently 40% vodka mixed with orange juice.
Food consumption and intake of caffeinated drinks were controlled and set at a fixed level in this experiment.
Age ,gender and weight may also affect the reaction of the seniors to alcohol .
This treatment served the purpose of a placebo thereby working as a control that helps us to establish a baseline treatment that can be used to compare with the results of other treatments .
The research conclusion is that response times are significantly delayed even for low levels of alcohol consumption in seniors .This conclusion can only be applied to healthy seniors that consume a low level of alcohol.
On derwin farm there is a total of 50 chickens and cows. If there are 118 legs, how many chickens are there?
Answers
Answer:
20cows and 29 chickens
Step-by-step explanation:
Possible answers:1/3,1/2,2,3
Answers
Answer:
1/2
Step-by-step explanation:
please answer asap
Enter your answer as fraction in simplest form by filling in the boxes
Answers
Answer:
1/2
Step-by-step explanation:
Can someone help me out plz?! You can get 50 points?!
Answers
Try using the pythagorean theorem i think?
Answer:
The Base is Greater than the height
Step-by-step explanation:
So the answer has to be greater than eight.
The diagram shows a triangle.
y+12°
2y–18°
2y+16°
What is the value of y?
y =
°
Answers
Answer:
34°Step-by-step explanation:
I'm a little confused by your question. But I solved the question this way.
y+12+2y-18+2y+16=180
Why 180° you ask? Because the angle sum interior of a triangle always measures 180°.
(y+2y+2y)+(12+−18+16)=180
5y+10=180
Subtract
5y+10−10=180−10
5y=170
divide
5y/5=170/5
y=34
Which of the following is equivalent to logb sqrt 57/74
Answers
Answer:
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
Step-by-step explanation:
Given the expression
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex]
Rewrite as
[tex]=\log _b\left(\left(\frac{57}{74}\right)^{\frac{1}{2}}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=\frac{1}{2}\log _b\left(\frac{57}{74}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)[/tex]
[tex]=\frac{1}{2}\left(\log _b\left(57\right)-\log _b\left(74\right)\right)[/tex] ∵ [tex]\log _b\left(\frac{57}{74}\right)=\log _b\left(57\right)-\log _b\left(74\right)[/tex]
Therefore,
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
Stephanie ate 12 of the 40 chips in a bag. What percentage of the chips did Stephanie eat?
Answers
Answer:
the answer is 0.3%
Step-by-step explanation:
12 divided by 40 is 0.3
Answer:
30%
Step-by-step explanation:
Write a proportion.
12 / 40 = x / 100
Cross multiply.
40x = 1200
Solve for x.
x = 30
She ate 30% of the chips.
pls guys need help...i have test tomorrow
Answers
Answer:
18x
Step-by-step explanation:
3x^2 - 27 = -18x
x^2 - 3x = -1x
-18x / -1x = 18x
3x^2 = 9
x^2 = 2x
Step-by -step: first you started with 3x^2 which is 9x then go to 9x-27 which is 18x
Next you go to x^2 with is also know as 1x^2 which can be 2. Then you subtract 2x -3x which can be 1x. Finally you divide 18x to 1x giving you the answer 18x
2. Mary's test average after 8 tests is 80. Her score on the
9th test was 71. If all 9 tests are weighted equally, what
is Mary's test average for all 9 tests?
A. 71
B. 75.5
C. 77
D. 79
E. 80
Answers
Answer:
D
Step-by-step explanation:
since her test average for the first 8 tests is 80, the sum of all the scores for the first 8 tests is 640. Since her 9th test is 71, we do 640+71=711. To find the average of all 9 tests, we do 711/9 = 79
D
Solve: 2a + 5 = 23
:((
Answers
Answer: 9
Step-by-step explanation:
At a grocery store, it costs $9 for 6 cans of soup. What is the unit price?
Answers
Answer:
1.5
Step-by-step explanation:
6 * 1.5 = 9
Answer:
1.3
Step-by-step explanation:
[tex]\sqrt[6]{9}[/tex] = 9 divided by 6, 6 goes into 9, 1 time. Remainder of 3, 1.3 is the answer.
Jack is buying threats for how cats. He wants to buy some greens, which cost $4.95 a bag. He also wants to buy beef bites, which cost $3.50 a bag. White an equation that models treats purchased by Jack when he spends $21.85
Answers
X represents the greens
Y represents the greens
A man cycles to a village at 18km/hr and returns at 12km/hr. If he takes 6 tahrs
for the double journey, how far does he ride altogether?
Answers
Answer:
30km/hr
Step-by-step explanation:
18km/hr +12km/hr
The man rides 86.4 km distance.
What is speed?Speed tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance.
Speed is directly Proportional to Distance and inversely proportional to Time.
Speed = Distance/Time
Given,
Speed of man way to the village = 18km/hour
Speed of man when returns from the village = 12km/hour
Time for double journey = 6 hour
Let going time is x and returning time is y
x + y = 6 -------(a)
⇒ x = 6 - y
Distance for going = distance for returning
18x = 12y
Putting value of x in terms of y
18(6 - y) = 12y
108 - 18y = 12y
30y = 108
y = 108/30
y = 3.6 hours
Putting value of y in equation (a)
x + 3.6 = 6
x = 6 - 3.6
x = 2.4
Returning time = 3.6 hours
Returning distance = returning time × returning speed = 3.6 × 12
Returning distance = 43.2 km
Going distance = Returning distance = 43.2
Total ride distance = 43.2 + 43.2 = 86.4 km
Hence, 86.4 km is the distance of ride by the man.
Learn more about speed here:
https://brainly.com/question/28224010
#SPJ2
A Bugatti car dealer paid a certain price for a car and marked it up by 13 of the price she paid. Later, she sold it for $40,000. What is the original price that the car dealer bought the car? Please explain you answer!
Answers
Answer:
565
Step-by-step explanation:
77
What two consecutive odd integers have a sum of 88?
Answers
Answer:
What two consecutive odd integers have a sum of 88? x + x + 2 = 88 • 2x + 2 = 88 • 2x = 86 • x = 43, x + 2 = 45 • 43 + 45 = 88 • Ans: 43, 45 • They equal 88 and are both odd.
What is the first step in evaluating (12.9 – 3.1) × 6.2 – 2 + 43
Answers
Answer:
101.76
Step-by-step explanation:
Answer:
(12.9 - 3.1) i'm in middle school so if i can do it you can
Step-by-step explanation:
Solve the absolute value equation.
3=|6-x|
Answers
Answer: well it's correct-
Step-by-step explanation: it shows that e equals to 6-x, x would be 3 so then the problem would still be correct (3=|3|) and |3| just equals, well, 3.
Find the endpoint:
The midpoint of CD is M = (-3, -6), one endpoint is C = (-1, -4). Find the other endpoint, D
Answers
Answer:
The coordinates of Point D are: (-5,-8)
Step-by-step explanation:
The formula for mid-point is given by:
[tex]M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]
For the point (x1,y1) and (x2,y2)
Given that
M = (-3, -6)
C = (-1, -4) => (x1,y1)
Putting the values of given points in the formula for mid-point
[tex](-3,-6) = (\frac{-1+x_2}{2} , \frac{-4+y_2}{2})[/tex]
Putting respective coordinates equal
[tex]-3 = \frac{-1+x_2}{2}\\-6 =-1+x_2\\x_2=-6+1\\x_2 = -5\\AND\\-6 = \frac{-4+y_2}{2}\\-12 = -4+y_2\\y_2 = -12+4\\y_2 = -8[/tex]
Hence,
The coordinates of Point D are: (-5,-8)
HELP HELP ASAPPPPP NEED THESE TWO ANSWERED PLSSSSS
Answers
Trust me this is very easy
Eddie found a store that sells cell phone cases for $18.50 plus $0.15 per letter engraved on the case. A second store sells cases for $18.00 plus $0.25 per letter engraved on the case. How many letters would Eddie have to engrave on his case for it to cost the same at either store?
Answers
Answer:
5 letters
Step-by-step explanation:
Let x = the number of letters engraved.
For the first store, the cost can be written as (18.50 + 0.15x).
For the second store, the cost can be written as (18 + 0.25x).
For the cost and value of x to be the same, let them equal eachother and evaluate x:
18.5 + 0.15x = 18 + 0.25
0.1x = 0.5
∴x=5
Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is approximately equal to 4.23 cups. Which measurement is closest to the number of liters of punch Elvira made
A: 1:42 L
B: 10.23 L
C: 25.38
D: 1.77 L
Answers
Answer:
C
Step-by-step explanation:
The inequality represents the spine thickness, in centimeters, of various books on a
shelf.
18
0.15
5
Which value of x could represent the thickness of a book on this shelf?
Answers
Answer:
7/2
Step-by-step explanation:
Find the equation of the line shown.
Answers
Answer:
I think that it is y= -2x +9
Step-by-step explanation:
I am sure about the slope but the y-intercept (9) might be wrong.
find the quontient. 673÷3
Answers
Answer: 224
Step-by-step explanation:
FAST ANSWER NEEDED 7,900 dollars is placed in an account and gains an annual interest rate of 5.5%. Which of the exponential equations below best models this situation?
Answers
Answer:
rage we are not doing ur homework
Step-by-step explanation:
14236.53
Step-by-step explanation:
I lookedd it up I'm not smart. ;)
An outdoor adventure company charges $9 per hour for a mountain
bike plus a $5 fee for a helmet.
Answers
Answer:500
Step-by-step explanation:500 +7++U+U++UU+
The college student who is looking for a data plan for her cell phone found a third option,
which also offers a 2 gigabyte monthly allowance for data.
The monthly cost of this option can be represented by function C, defined by:
30x + 3 where x is the gigabytes of data used over the monthly allowance.
1. Find C (0.7) and explain what it means in this situation.
Answers
Answer:
Value of C(0.7) = 24 means that the cost of 0.7 gigabytes of data is $24
Step-by-step explanation:
We are told the monthly cost of the 2 gigabyte monthly allowance for data is;
C(x) = 30x + 3
where x is the gigabytes of data used over the monthly allowance
Now, we want to find C(0.7)
C(0.7) = 30(0.7) + 3
C(0.7) = 21 + 3
C(0.7) = 24
This value of C(0.7) = 24 means that the cost of 0.7 gigabytes is $24