NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse, or exponential, write the equation.
#7 and #8
Answers
Answer:
7. inverse relationship; equation: y = 16/x
8. no relationship; no equation
Step-by-step explanation:
The attachment shows the support for the conclusions. The relationship can be chosen from those offered by looking at differences, ratios, or products of y-values for sequential x-values.
linear: constant differencesexponential: constant ratiosinverse: constant products__
7.In the first problem, we note that the relationship between y-values varies inversely as the relationship between x-values: when x goes up by a factor of (n+1)/n, the value of y goes down by its inverse factor: n/(n+1). That same relationship is observed by noting that the product of x and y is a constant, 16.
relationship: inverse
y = 16/x
__
8.As we looked at the table, we thought this might be an exponential function. Each y-value seemed to be twice the one before—until we got to x=5. As x went from 4 to 5, the y-value increased by a factor of 16, not 2. This means there is no simple relationship between x and y, and no simple equation that will describe the sequence of y-values.
Answer:
Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.
Inverse relationship: the value of one variable decreases as the value of the other variable increases.
Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)
Question 7
As the x-value increases (by one unit), the y-value decreases.
Therefore, this is an inverse relationship.
The y-values are calculated by dividing 16 by the x-value.
[tex]\sf y=\dfrac{16}{x}[/tex]
Question 8
As the x-value increases, the y-value increases.
The y-value increases by a factor of 2 for each x-value increase of 1 unit from 1 ≤ x ≤ 4 and 5 ≤ x ≤ 6.
[tex]\sf y=2^x \ for \ 1\leq x\leq 4[/tex]
[tex]\sf y=2^{(x+3)} \ for \ 5\leq x \leq 6[/tex]
These are separate exponential relations for restricted domains.
So there doesn't appear to be one relationship for a non-restricted domain.
Related Questions
Simplify the expression.
Answers
Answer:
the answer is
[tex] \frac{12 {c}^{8} }{ {d}^{2} } [/tex]
Step-by-step explanation:
[tex] \frac{12}{ {c}^{ - 8} {d}^{2} } [/tex]
You had $250 to spend on six hydro flask. After buying them you had $10 . How much did each flask cost?
Answers
Step-by-step explanation:
[tex]see \: if \: 10 \: are \: left \: then \: we \: hve \: spent \\ 250 - 10 = 240 \: dollars \\ [/tex]
hence
[tex]six \: flasks \: cost \: 240 \: dollars \\ so \: if \: we \: divide \: 240 \: by \: 6 \: we \: get \: 40 \: \\ [/tex]
so one flask costs 40$
The elevation of Death Valley is -86 meters. Which equation shows how many meters below sea level Death Valley is located? Group of answer choices |-86| = 86 |-86| = - 86 |86| = -86 |86| = 86
Answers
Answer:
|-86| = 86
The absolute value of -86 is 86!
Tip : The absolute value is always positive.
Answer:
|-86| = 86
Step-by-step explanation:
Consider the sequence below:
-9, -6, -1, 6, 15 …
What is the 8th term of the sequence?
Answers
List three numbers that are less than -7
Answers
Answer:
Step-by-step explanation: first one way that you can answer this question is to use a numberline, so you start at zero and go to the left of the numberline and the numbers behind -7 would be -8,-9, and or ,-10 they are all less than negative seven
Mr. Torres has a class of 17 students. He can spend $24 on each student to buy math supplies for the year. He first buys all of his students calculators, which
costs a total of $77.35. After buying the calculators, how much does he have left to spend on each student?
Answers
Answer:
She has a class of 17 kids. At $24 each, she can spend 17*$24 = $408. Since she spent $125.36, she has $408 - $125.36 = $282.64 left to spend.
Step-by-step explanation:
408-77.35= 330.65
330.65/17=19.45
After buying the calculators, Mr. Torres has $19.45 timo spend on each student.
i need help on this badly
Answers
Answer:
shorter than, shorter than, will not
Step-by-step explanation:
First, we can find out the diagonal of the base of the box using Pythagoras' theory - a² + b² = c²
32² + 8² = 1088
c = √1088 = 32.984845
This means that the diagonal of the base of the box is shorter than the bat (32.984845 is less than 34)
Next, we can work out the interior diagonal, again using Pythagoras' theory - a² + b² = c²
32.984845² + 6² = 1124
c = √1124 = 33.52610923
This means that the length of the interior diagonal of the box is shorter than the bat (33.52610923 is less than 34)
Therefore, Julian's bat will not fit in the box.
Hope this helps!
3⁄4 of 2⁄3 =? givin brainliest
Answers
Answer:
1/2
Step-by-step explanation:
3/4 of 2/3 = 3/4 × 2/3 = 6/12 = 1/2
Amanda and her little brother each throw a model airplane at the same time, but from different heights on the playground. The functions h(x) = -16x2 + 24x + 40 and g(x) = -16x2 + 10x + 21 represent the heights of Amanda's plane and her brother's plane, respectively, x seconds after the planes are thrown.
Which of the following statements is true?
Amanda's brother's model airplane will stay in the air for 3 seconds longer than Amanda's model airplane.
Amanda's brother's model airplane will touch ground 2 seconds earlier than Amanda's model airplane.
Amanda's model airplane will touch ground 4 seconds earlier than Amanda's brother's model airplane.
Amanda's model airplane will stay in the air for 1 second longer than Amanda's brother's model airplane.
Answers
A simple random sample of 49 8th graders at a large suburban middle school indicated that 89% are involved in some type of after school activity. Find the 95% confidence interval that estimates the proportion of them that are involved in an after school activity.
A. [0.722], [0.978]
B. [0.802], [0.978]
C. [0.702], [0.928]
D. [0.802], [0.778]
E. [0.852], [0.857]
F. None of the above
Answers
Answer:
B. [0.802], [0.978]
Step-by-step explanation:
n=49
p=.89
confidence level of 95% has a z value of 1.960
z*= 1.960
z*=qnorm(1.95/2)
p+/-z* multiplied by sqrt[ P * ( 1 - P ) / n ]
p+/-z*times(√(p)(1-p)/n)
.89+/-1.960* (square root of (.89)(.11)/49))
calculatornetconfidenceintervalcalculatorhtml
mathuheducathyMath2311TestsTest2032311PT3helppdf
1)
Which of these are equations of lines that are parallel to the x-axis?
Select all that apply.
A. y=-3
3
4
B. y =5.3
5
C. X=
6
x 6
D. X=-7
k
E. y = 20
F. X = 8.2
Answers
A local restaurant uses a computer to randomly select an appetizer and accompanying sauce. The table below shows all the
possible outcomes when ordering
What is the probability of receiving chicken or ribs and getting a red sauce?
Answers
Answer:
B 1/5
Step-by-step explanation:
there is 20 combinations
4 of the twenty are ribs or chicken with a red sauce
4/20 = 1/5
5. The sports store sold three times as many basketballs as footballs last month. If they sold
140 fewer footballs than basketballs, how many of each type of ball did they sell last
month?
Answers
Answer:
basketballs = 210 footballs = 70
Step-by-step explanation:
footballs =b
basketballs= 3b
if there ate 140 fewer footballs than basketballs it means that the difference between basketballs and footballs sold is 140
hence 3b - b = 140
2b= 140
b= 70
hence footballs are 70
while basketballs are 70×3 = 210
What is the solution to 2x + 5 = 6x – 5? Show your work.
Answers
Answer:
2x - 6x = -5-5
-4x = -10
4x = 10
x = 10/4
Therefore, x= 5/2.
A
The bases are the same size and shape and perpendicular to each
other.
B
The bases are a different size and shape and parallel to each other.
с
The bases are a different size and shape and perpendicular to each
other.
D
The bases are the same size and shape and parallel to each other.
Answers
Veronica wants to convert 108 inches to feet. What does she need to do?
Answers
Answer:
Divide 108 by 12 since there are 12 inches in a foot.
108 ÷ 12 = 9
Veronica needs to divide 108 inches by 12 to get 9 feet.
To convert inches to feet, Veronica needs to divide the number of inches by 12, as there are 12 inches in a foot.
Given that Veronica wants to convert 108 inches to feet, she should perform the following calculation:
108 inches ÷ 12
= 9 feet
Therefore, Veronica needs to divide 108 inches by 12 to get 9 feet.
To learn more on Conversion factor click:
https://brainly.com/question/32020768
#SPJ6
y + 9 * 3 / 4
3/4 is the fraction
Answers
Answer:
y+6.75
Step-by-step explanation:
Answer: y+6.75
Follow Order of Operations
y+9*3/4
9*3/4 = 6.75
y+6.75
The numbers 32 and 12 are each rounded to the nearest ten and then multiplied to estimate the product. What is the best estimate of 32 × 12 based on this method?
Answers
Answer:
300
Step-by-step explanation:
32 rounds to 30.
12 rounds to 10.
30 × 10 = 300
Answer: 300
Answer:
[tex]beinggreat78~here~to~help.[/tex]
So the method is clearly stating that we need to round to the nearest ten, so let's round using the rule set.
If the number is below 5, round down.If the number is 5, round up.If the number is above 5, also round up.This array should help you vision the sequence better.
⇒ [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Now, using the rounding ruleset, we have to find what to round to. Since 32 and 12 both have a ones digit below 5, we round down, meaning we now have 30 and 10. The last step is to multiply 30 by 10 to get your estimate.
[tex]30[/tex]
[tex]*~10[/tex]
▬▬
[tex]300[/tex]
With this information, your answer is 300(rounded to nearest ten)!
prove that
[tex]4cot45 ^{2} - 3tan ^{2} 60 + 2sec ^{2}60 = 3[/tex]
help me
Answers
Answer:
[tex]4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) = 3 \\ [/tex]
[tex]LHS = 4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) \\[/tex]
let us first take a look at the values of the trigonometric ratios given in the question so that we get quite clear about what is to be done.
here ,
[tex] \cot(45) = 1 \\ \\ \tan(60) = \sqrt{3} \\ \\ \sec(60) = 2[/tex]
now ,
we just have to plug in the values considering certain other things given in the question and we're done!
so let's start ~
[tex]4(1) {}^{2} - 3( \sqrt{3} ) {}^{2} + 2(2) {}^{2} \\ \\ \dashrightarrow \: 4(1) - 3(3) + 2(4) \\ \\ \dashrightarrow \: 4 - 9 + 8 \\\\ \dashrightarrow \: 12 - 9 \\ \\\dashrightarrow \: 3 = RHS[/tex]
hence , proved ~
hope helpful :D
-
The expression (3 - 7i)^2 equivalent to
Answers
Answer:
-40-42i
Step-by-step explanation:
9-42i+49i^2=9-42i-49=-40-42i
Ali is in charge of the dinner menu for his senior prom, and he wants to use a one-sample z interval to estimate
what proportion of seniors would order a vegetarian option. He randomly selects 30 of the 150 total seniors
and finds that 7 of those sampled would order the vegetarian option.
Which conditions for constructing this confidence interval did Ali's sample meet?
Choose all answers that apply:
A. the data is a random sample from the population of interest
B. np^>_10 and n(1-p^)>_10
C. individual observations can be considered independent
Answers
Answer: A: The data is a random sample from the population of interest
Step-by-step explanation: kahn
find the value of x?
Answers
Answer:
x = 63 units
Step-by-step explanation:
130 tan 39 = entire L side
130 tan 39 - 130 tan 18 = x = 63
A circle has a donated of 4.5cm a larger circle has a diameter of 24cm what is the aporximent diffrent in the circumference of the two circles
Answers
Answer:
difference ≈ 61.3 cm
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
difference = 24π - 4.5π = 19.5π ≈ 61.3 cm ( to 1 dec. place )
For which values of x is the expression undefined
Answers
Answer:
x = ±1
Step-by-step explanation:
x² - 1 = 0
x² = 1
x = ±1
I hope this helps!
What is the value ofthe expression 1 2 (m-4).. when me 12 and na 3 4 OA) ? OB) 1 OC) 2 OD)
HELP ASAP
Answers
1 is the answer......
WHATS UP KID
Solve all this
1) 2x-8=11x-10
2)6x-6=3x+1
3)1/2x+4=1/3x+1
4)-2/5x+1/3=1/2x+1/4
5)5/3x2=1/2x-2/3
Answers
Answer: hii :)
1. 2x-8=11x-10 = 2/9
2. 6x-6=3x+1 = 7/3
3. 1/2x+4=1/3x+1 = -18
4. -2/5x+1/3=1/2x+1/4 = 5/54
5. I dont know the answer to <3
Step-by-step explanation:
Hopefully this helps you,
Sorry for being late on the question.
- Matthew
What's the difference between arithmetic and geometrical sequence with examples please.
Answers
Answer:
An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.
-- Credit -- libretexts
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Answer:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.
Step-by-step explanation:
(x – 5)² + (y + 11)² = 49
a. What type of conic is this?
b.What is the center?
c. What is the radils?
d. What is the area of this shape?
Help pleaseee
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A
The equation is in the form of [tex](x-h)^2+(y-k)^2=r^2[/tex], which happens to be the equation of a circle
Part B
For the equation of the circle, its center is at [tex](h,k)\rightarrow(5,-11)[/tex]
Part C
Since [tex]r^2=49[/tex], then the radius of the circle is [tex]r=7[/tex]
Part D
The area of a circle is [tex]A=\pi r^2[/tex], so the area is [tex]49\pi[/tex] square units.
What is the value of the x-coordinate of point A?
Answers
Answer:
(1/2,square root 3/2) is the answer
The probability distribution for a random variable x is given in the table.
(see image)
Find the probability that x<-3
Answers
Answer:
30%
Step-by-step explanation:
The sign means that x can be equal to or LESS than -3. The only ones are -3 and -5. 0.17+0.13=0.30
