False
Step-by-step explanation:The parent function is the simplest function within a family of functions that defines the general form of that family.
Parent Functions
Parent functions are given in terms of y and x, where y is the output and x is the input. In linear functions, b represents a constant, specifically the y-intercept. Since the form y=b does not have an input it cannot be the parent function of linear lines. The graph of y=b would be a horizontal line with no slope. This does not define the general form of most linear functions. Additionally, since the slope has been changed to zero, it is not considered the simplest form of linear functions.
Linear Parent Function
The true parent function of linear functions is y=x. This function is the simplest linear function and has no transformations. Additionally, when graphed it is a diagonal line that defines the general shape of lines.
To create new linear functions the parent function, y=x, can be transformed by changing the coefficient of x to change the slope or by adding a constant to shift the graph vertically.
WHATS THE FRACTION FOR 6 DOLLARS AND 14 CENTS
Answer:
[tex]6\frac{14}{100}[/tex]
Step-by-step explanation:
First, you make fourteen a fraction.
[tex]\frac{14}{100}[/tex]
Then, make it a mixed fraction by adding a six.
[tex]6\frac{14}{100}[/tex]
Lastly, have a great day! :)
What are the answers
Answer:
Rate of change= 1/3
Initial value = -4
Step-by-step explanation:
The rate of change is rise/run = 1/3.
the initial value is the y-intercept which is -4.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-6)}}} \implies \cfrac{-3 +6}{3 +6} \implies \cfrac{ 3 }{ 9 } \implies \cfrac{1 }{ 3 }[/tex]
now as far as the "initial value", dunno what that means.
The start of the line? well, the line by definition goes to infinity both ways.
the y-intercept? well, just look at the graph, the graph intercepts the y-axis when x = 0 and y = -4, so at (0 , -4).
vertical Angles and Linear Pairs
Answer:
Two angles are vertical angles if their sides form two pairs of opposite rays. 5 and 6 are a linear pair. Two adjacent angles are a linear pair if the form a straight line. Linear Angle Pairs add up to 180°.
Can someone explain the answer to this and how to work it
Solve the system of linear equations using the elimination method: 2x + 2y = 16 -2x +3y = 14
Answer:
Step-by-step explanation:
soulution:
given, 2x +2x = 16 - 2x + 3y = 14
2x + 2x = -2y +3y = 14 -16
4x = y = -2
y = 4x = -2
y = x = 4/-2
x = y = -2 ans
Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of this point, one with r > 0, and one with r < 0.
(a) (2, 5pi/6)
(b) (1, -2pi/3)
(c) (-1, 5pi/4)
Answer:
The other pairs are:
[tex](a)\ (2, \frac{5\pi}{6}) \to[/tex] [tex](2, \frac{17\pi}{6})[/tex] and [tex](-2, \frac{23\pi}{6})[/tex]
[tex](b)\ (1, -\frac{2\pi}{3}) \to[/tex] [tex](1, \frac{4\pi}{3})[/tex] and [tex](-1, \frac{7\pi}{3})[/tex]
[tex](c)\ (-1, \frac{5\pi}{4}) \to[/tex] [tex](-1, \frac{3\pi}{4} )[/tex] and [tex](1, \frac{7\pi}{4})[/tex]
See attachment for plots
Step-by-step explanation:
Given
[tex](a)\ (2, \frac{5\pi}{6})[/tex]
[tex](b)\ (1, -\frac{2\pi}{3})[/tex]
[tex](c)\ (-1, \frac{5\pi}{4})[/tex]
Solving (a): Plot a, b and c
See attachment for plots
Solving (b): Find other pairs for [tex]r > 0[/tex] and [tex]r < 0[/tex]
The general rule is that:
The other points can be derived using
[tex](r, \theta) = (r, \theta + 2n\pi)[/tex]
and
[tex](r, \theta) = (-r, \theta + (2n + 1)\pi)[/tex]
Let [tex]n =1[/tex] ---- You can assume any value of n
So, we have:
[tex](r, \theta) = (r, \theta + 2n\pi)[/tex]
[tex](r, \theta) = (r, \theta + 2*1*\pi)[/tex]
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](r, \theta) = (-r, \theta + (2n + 1)\pi)[/tex]
[tex](r, \theta) = (-r, \theta + (2*1 + 1)\pi)[/tex]
[tex](r, \theta) = (-r, \theta + (2 + 1)\pi)[/tex]
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](a)\ (2, \frac{5\pi}{6})[/tex]
[tex]r = 2\ \ \ \ \theta = \frac{5\pi}{6}[/tex]
So, the pairs are:
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](2, \frac{5\pi}{6}) = (2, \frac{5\pi}{6} + 2\pi)[/tex]
Take LCM
[tex](2, \frac{5\pi}{6}) = (2, \frac{5\pi+12\pi}{6})[/tex]
[tex](2, \frac{5\pi}{6}) = (2, \frac{17\pi}{6})[/tex]
And
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](2, \frac{5\pi}{6}) = (-2, \frac{5\pi}{6} + 3\pi)[/tex]
Take LCM
[tex](2, \frac{5\pi}{6}) = (-2, \frac{5\pi+18\pi}{6})[/tex]
[tex](2, \frac{5\pi}{6}) = (-2, \frac{23\pi}{6})[/tex]
The other pairs are:
[tex](2, \frac{17\pi}{6})[/tex] and [tex](-2, \frac{23\pi}{6})[/tex]
[tex](b)\ (1, -\frac{2\pi}{3})[/tex]
[tex]r = 1\ \ \ \theta = -\frac{2\pi}{3}[/tex]
So, the pairs are:
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](1, -\frac{2\pi}{3}) = (1, -\frac{2\pi}{3} + 2\pi)[/tex]
Take LCM
[tex](1, -\frac{2\pi}{3}) = (1, \frac{-2\pi+6\pi}{3})[/tex]
[tex](1, -\frac{2\pi}{3}) = (1, \frac{4\pi}{3})[/tex]
And
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](1, -\frac{2\pi}{3}) = (-1, -\frac{2\pi}{3} + 3\pi)[/tex]
Take LCM
[tex](1, -\frac{2\pi}{3}) = (-1, \frac{-2\pi+9\pi}{3})[/tex]
[tex](1, -\frac{2\pi}{3}) = (-1, \frac{7\pi}{3})[/tex]
The other pairs are:
[tex](1, \frac{4\pi}{3})[/tex] and [tex](-1, \frac{7\pi}{3})[/tex]
[tex](c)\ (-1, \frac{5\pi}{4})[/tex]
[tex]r = -1 \ \ \ \ \theta = \frac{-5\pi}{4}[/tex]
So, the pairs are
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{-5\pi}{4} + 2\pi)[/tex]
Take LCM
[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{-5\pi+8\pi}{4} )[/tex]
[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{3\pi}{4} )[/tex]
And
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](-1, \frac{-5\pi}{4}) = (-(-1), \frac{-5\pi}{4}+ 3\pi)[/tex]
Take LCM
[tex](-1, \frac{-5\pi}{4}) = (1, \frac{-5\pi+12\pi}{4})[/tex]
[tex](-1, \frac{-5\pi}{4}) = (1, \frac{7\pi}{4})[/tex]
So, the other pairs are:
[tex](-1, \frac{3\pi}{4} )[/tex] and [tex](1, \frac{7\pi}{4})[/tex]
A consumer advocacy group has received complaints that a particular potato chip manufacturer is producing bags that contain less than the advertised 1.75 ounces of chips. A SRS of 150 bags of flour is weighed and the sample mean weight is found to be 1.74 ounces. If we assume a population standard deviation of 0.08 ounces, use a hypothesis test to test the claim that the bags are being under-filled.
1: What is the null hypothesis?
2: What is the alternative hypothesis?
Answer:
Null (H0) : Mean chips weight = 1.75 , Alternate (H1) : Mean chips weight < 1.75
Step-by-step explanation:
Null Hypothesis states no deviation from considered population parameter.
Alternate Hypothesis states deviation from considered population parameter. If anticipated deviation may be more or less, its two tail test. If anticipated deviation is only more or less, its left or right tail test .
Null Hypothesis [H0] : Average chips weight = 1.75 ounce
Alternate Hypothesis [H1] : Average chips weight < 1.75 ounce {Left Tail Test}
Ellie wants double her savings of £9000 by investing her money for 18 years what interest rate does she need to look for?
She need a interest rate of 5.56%
Your wealth increases more quickly due to compound interest. Due to the fact that you will receive returns on both the money you invest and returns at the conclusion of each compounding period, it causes a sum of money to increase more quickly than with simple interest. As a result, you won't need to save as much money to achieve your objectives.
What are the 3 types of compound interest?Formula for Monthly Compound Interest. 12 times a year are used to calculate interest that is compounded monthly.Formula for Quarterly Compounding. Four times a year are used to calculate interest that is compounded quarterly.Formula for Daily Compound Interest.Formula for Annual Compound Interest.We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.
P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.
The formula for this issue is t = 18 Years, p = £90,000.
A = £9000 *2 => £18000\sr = ?
Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).
18r = 2 - 1\sr = 1/18\sr = 0.0555555556
Extend 0.0556
Ratio conversion: r = 0.0556 * 100 = 5.56%
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She need a interest rate of 5.56% .Your wealth increases more quickly due to compound interest.
What are the 3 types of compound interest?Formula for Monthly Compound Interest. 12 times a year are used to calculate interest that is compounded monthly.
Formula for Quarterly Compounding. Four times a year are used to calculate interest that is compounded quarterly.
Formula for Daily Compound Interest.
Formula for Annual Compound Interest.
We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.
P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.
The formula for this issue is t = 18 Years, p = £90,000.
A = £9000 *2 => £18000\sr =
Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).
18r = 2 - 1\sr = 1/18\sr
= 0.0555555556
Extend 0.0556
Ratio conversion: r = 0.0556 * 100 = 5.56%
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I need some help please (multiple choice). Find the points of discontinuity
9514 1404 393
Answer:
A (-2), A
Step-by-step explanation:
A function will have a point of discontinuity at a point where it is undefined. Rational functions will be undefined where the denominator is zero. This function will have denominator zeros at x = -2, so is discontinuous there.
__
As x approaches -2 from either direction, the value of y approaches positive infinity. The type of discontinuity can be described as an infinite discontinuity.
Which function represents the following graph?
y = square root x -3 + 3
y = square root x + 3 + 3
y = 3 square root x - 3 + 3
y = 3 square root x + 3 + 3
Answer:
D. y = 3√x+3 +3
Step-by-step explanation:
The correct answer to your question is the fourth option, y = 3 square root x + 3 + 3.
Answer: D
Step-by-step explanation:
Solve the following simultaneous equations by elimination
A) x+y=2
x-y-1=0
B) x+y=5
x-y=7
C) x+y=17
x-y=1
D) 5x+y=29
5x-y=11
Answer:
0
8
0
9
0
9
9
098098809667906432
pls help i have been doing this for 5 hours i will mark brainliest PLEASE I JUST NEED THE RIGHT ANSWER
Answer:
[tex]p = 7[/tex]
Step-by-step explanation:
So the key is that a line has a measure of 180 degrees. Notice the square between the rays. That is a 90-degree angle. So let's add this up and see what's going on
[tex](5p + 2) + 90 + (7p + 4) = 180[/tex]
[tex]12p + 96 = 180[/tex]
[tex]12p = 84[/tex]
[tex]p = 7[/tex]
Answer:
p = 7
Step-by-step explanation:
From the diagram, we can see that all the angles given form a straight line, and therefore add up to 180°.
We can create an equation with what is given:
***The angle with the square marked is 90°.
5p° + 2° + 90° + 7p° + 4° = 180°
You can combine the like terms, getting:
12p° + 96° = 180°
Now, subtract 96° from both sides:
12p° = 84°
Now, divide by 12°, and get:
p = 7
What is the value of the expression below?
−2
1
3
− 3
5
6
+ 1
1
3
?
Answer:
Step-by-step explanation:
The expression you've provided is a combination of several fractions, but it's not clear how they are supposed to be combined. Without more information, it's impossible to know what the value of the expression is.
It would be helpful if you could provide more context or clarify how you want the fractions to be combined.
I can only tell you how the fraction works in mathematics and how you can evaluate the value of it if you have the complete information.
2 IMAGES BELOW! PLEASE HELP! Tysm <3
Answer:
y=2x+2
Step-by-step explanation:
Just look at the bottom dot which is 0,2 and y=2x+2 is the only one that works:
2=(2×0)+2
2=2
but the other is:
2=(3×0)
2=3
which isn't true,
therefore it must be the first one.
Terrence made a scale drawing of a boarding school. The scale he used was
7 centimeters: 3 meters. If the actual length of a building at the school is 300 meters, how
on is the building in the drawing?
The building in the drawing is 700 centimeters or 7 meters.
Define the unitary method.The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
What are ratios and proportions?An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Given 3 meters on real is equal to 7 centimeters on drawing
i.e. 3 meters=7 centimeters
or, 1 meter = 7/3 centimeters
We need to find reading for 300 meters so,
or, 300 meters=7/3*300 centimeters
=700 centimeters or 7 meters
Therefore the building in the drawing is 700 centimeters or 7 meters.
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2) Out of the 976 potatoes in the storeroom, 61 are rotten. What percentage of
the potatoes are rotten?
Answer:
The answer is 6.25%
Step-by-step explanation:
Given;Out of the 976 potatoes in the storeroom, 61 are rotten.So,
(61 ÷ 976) × 100%
0.0625 × 100% = 6.25%
Thus, 6.25% of potatoes are rotten.
Step-by-step explanation:
% of potatoes rotten = 61/976 × 100
=> 6100/976
=> 6.25%
What is the surface area of the rectangular prism?
Answer:
I would say it's 126in
Step-by-step explanation:
sorry if I'm not right but I'm pretty sure :)
If an 8-foot pole casts a 6-foot shadow at the same time a nearby tree casts
a 33-foot shadow, how tall is the tree (in feet)?
Answer:
The tree is 44 feet
Step-by-step explanation:
[tex]\frac{8}{6}[/tex] is equivalent to [tex]\frac{4}{3}[/tex] (divide the numerator and denominator by 2)
[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{33}[/tex]
3 x 1 = 33, so 4 x 11 = 44
Prove limit of function by using definition (delta-epsilon)
Answer:
Refer to step-by-step
Step-by-step explanation:
Prove the following, [tex]\lim_{x \to \ 2} 2^{x}=4[/tex], [tex]\lim_{z \to \ -1} 3^{x}=\frac{1}{3}[/tex], and [tex]\lim_{x \to \ 1} e^{x-1} = 1[/tex].
For part f:
Plug in the value of the limit, 2,
[tex](2)^{2} =4[/tex]
Thus we proved the limit.
For part g:
Plug in the value of the limit, -1,
[tex]3^{(-1)}[/tex]=>[tex]3^{-1}[/tex]=>[tex]\frac{1}{3^{1} }=\frac{1}{3}[/tex]
Thus we proved the limit.
For part h:
Plug in the value of the limit, 1,
[tex]e^{(1)-1}[/tex]=>[tex]e^{1-1}[/tex]=>[tex]e^{0}=1[/tex]
Thus we proved the limit.
The height and the base area b of a cone are given fine the volume of the cone h=6units b=4 pie square units ?
Answer:
24 may be
Step-by-step explanation:
coz i dont kmow waiii i dont know
m soo sry to disturb u
may god find ur answer
god bless u
be happy alys
For every boy taking classes at the music school, there are 3 girls who are taking classes at the school. If there are 128 students taking classes, write and solve a proportion to predict the number of girls taking classes at the school.
Answer:
There are 96 girls taking classes at the music school, while the number of boys is 32.
Step-by-step explanation:
Since for every boy taking classes at the music school, there are 3 girls who are taking classes at the school, if there are 128 students taking classes, for write and solve a proportion to predict the number of girls taking classes at the school you must perform the following calculation:
1 + 3 = 4
128/4 x 3 = Girls
32 x 3 = Girls
96 = Girls
Therefore, there are 96 girls taking classes at the music school, while the number of boys is 32.
Find the circumference of the circle.
Answer:
72 .22 inches is the answer bro
Answer:
72.22 inches
Step-by-step explanation:
Formula for circumference given diameter is:
c = πd
If you use 3.14 for pi, you get 72.22 inches:
c = 3.14(23)
c = 72.22
After a 40% discount, The price of a T-shirt was $30. What was the price before the discount?
Answer:
$18
Step-by-step explanation:
Express as a single fraction and find the domain
A single fraction will be;
⇒ 1/(y + 12)
And, Domain of this expression is,
⇒ Domain = (-∞, ∞) - { 12 }
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The expression is,
⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)
Now,
Since, The expression is,
⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)
Simplify the expression as;
⇒ 4 (y - 2) - 3 (y + 2) / (y-2) (y+2) + 12 / (y² - 4)
⇒ 4y - 8 - 3y - 6 / (y² - 4) + 12 / (y² - 4)
⇒ (y - 14) / (y² - 4) + 12 / (y² - 4)
⇒ (y - 14 + 12) / (y² - 4)
⇒ (y - 12) / (y- 12) (y + 12)
⇒ 1/(y + 12)
Hence, A single fraction will be;
⇒ 1/(y + 12)
And, Domain of this expression is,
⇒ Domain = (-∞, ∞) - { 12 }
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What Is The Distance Between These Two Numbers?
(7,7) and (-9,7)
Sam rolls a fair dice and flips a fair coin.
What is the probability of obtaining an odd number and a head?
There are six sides to a die and only one side has a two, so the probability of rolling a 2 is 1/6.
There are two sides to a coin and only one side has a head, so the probability of its coming up heads is 1/2.
The two events (rolling a die and flipping a coin) are independent, so the probability of both events occurring is (1/6)(1/2) = 1/12
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for. this is my questions its muliple choice, the answer ive come to is 1h 25m but thats not one of the answers to chose from what do i do?
If the total length of the journey is 146 km and he maintain the same speed, the longer time he will be using for driving will be 65m.
How can the time be calculated?The total length of my journey is 146 km.
Then the remain of the journry to reach 146 km = 146- 48 = 98
Then the if the same speed is maintained the estimate of longer time he will be using for driving will be calculated as :
(32 * 98)/48
Then get the productor quotient = 196/3 = 65 minutes
Therefore, option E is correct.
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MISSING OPTIONS:
A. 32
B.40
C. 52
D. 60
E.65
Jim rented a truck for one day. There was a base fee of 16.99, and there was an additional charge of 88 cents for each mile. Jim had to pay 149.87 when he returned the truck. For how many miles did he drive the truck?
Answer:
Step-by-step explanation: Total Cost: TC = $126.07
Base fee: B = $16.95
Rate per mile: r = $0.88/mile
Distance (miles) : d -->this is what we need to find
The general formula is:
TC = B + r*d
In this problem:
$126.07 = $16.95 + ($0.88/mile)*d
126.07 - 16.95 = 0.88d (I dropped the units starting here)
d = (126.07 - 16.95)/0.88 = 124 miles (notice the parentheses. subtraction has a lower precedence than division. If you omitted them when using a graphing calculator you would get an incorrect answer)
So the answer is 124 miles.
_______ quadratic equations in standard form can be solved
using the quadratic formula.
No
All
Some
PLS HELP
The answer is All
Step-by-step explanation:
It has been proven that all quadratic equations can be solved with the quadratic formula.
Find the volume.
Need help
The volume of a rectangular prism is found by multiplying its length, width, and height.
[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=l\times w\times h[/tex]
[tex]\tt V=l\times w\times h[/tex][tex]\tt V=8m\times 4.5m \times 6m[/tex][tex]\tt V={216m^3}[/tex]Therefore, the volume of a rectangular prism is 216m³
Another formula can be used if the area of the base (B) is given.
[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=B\times h[/tex]
[tex] \tt V = B \times h[/tex][tex]\tt V = 36m^2\times 6m[/tex][tex] \tt V = {216m^3}[/tex]Therefore, the volume of a rectangular prism is 216m³
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