This is how you construct a parent graph - it is the simplest form of the function, and has a basic shape.
The most basic form of a function is a parent function. Its essential shape is not changed in any manner. In mathematics, some graphs are frequently seen. Because of this, the graphs of quadratic functions, square roots, absolute values, cubics, and cube roots are among the original, widespread functions that are referred to as parent graphs.
For instance, you should still be able to identify the parabola that has undergone various transformations when you view a u-shaped graph that has been inverted and stretched vertically.
We can take a few examples to understand this concept further.
For a quadratic equation, the parent graph is [tex]f(x) = x^{2}[/tex], which is a parabola. For a cubic equation, the parent graph is [tex]f(x) = x^{3}[/tex].Hence, this is how you construct a parent graph - it is the simplest form of the function, and has a basic shape.
To learn more about parent graphs, visit the link:
brainly.com/question/20333814
#SPJ4
To indirectly measure the distance across a river, Houa stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Houa draws the diagram below to show the lengths and angles that she measured. Find PRPR, the distance across the river. Round your answer to the nearest foot.
According to the Houa's drawing the distance across the river PR is
198.95 feetHow to measure the distance PRThe length of line PR is calculated using the knowledge of similar triangles
While similar triangles is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent.
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
Examining the figure shown, the pair of equivalent sides are
PO and OC, PR and RE,
The solution is worked out using sides PO and OC, PR and RE,
PO / OC = PR / RE
let PR be equal to y such that PO = 140 + y
(140 + y) / 230 = y / 135
cross multiplying
135(140 + y) = 230y
Expanding
18900 + 135y = 230y
collecting like terms
18900 = 230y - 135y
95y = 18900
y = 198.95 feet
Hence PR = 198.95 feet
Learn more about similar triangles here:
https://brainly.com/question/29333623
#SPJ1
Complete the table with values for x or y that make this equation true : 3x+y=15.
Answer:
Step-by-step explanation:
So first, with the given table you need to "plug-in" the numbers that are there for x and y.
Ok, for example 2 is listed in the "x" row. So plug it 2 for "x":
3x+y=15
3(2)+y=15
6+y=15
-6 -6
y=9
So do this for all of them...the same goes with all of the values...just plug in one, complete the steps then you'll get the answer for the other variable.
Hope this helps!
PLEASE HELP SOON
1. Solve the system. 3x+y = 10 y = 6x+1 Enter your answer by filling in the blanks. The solution is ( , )
2. Solve the system. 6x - y = -15 x + 2y = 17 Enter your answer as a coordinate pair in the blank.
Answer:
1. ( 1,7)
2. (17, 39)
Step-by-step explanation:
1. Replace all occurrences of y with 6x+1, and we get
9x + 1 = 10
x = 1
y = 6x + 1
y = 7
So, the answer for number 1 is (1,7)
2. 6x - y = -15x + 2y = 17
We subtract 2y and get
6x - 3y = 15x = 17
Replace all occurrences of x with 17, and we get
102 −3y = −15
x = 17
y = 39
So, the answer for number 2 is (17, 39)
You fill a 13 1/2 gallon tub 1/9 full of water. How many gallons of water are in the tub?
Answer:
2
Step-by-step explanation:
Solve the proportion.
8 / 3 = g / 3
a. 1 / 8
b. 9 / 8
c. 8
d. 8 / 9
A vegetable store sold 3 fewer tons of vegetables on the first day than on the second, and on the third day it sold 5 9 of the amount sold in the first two days. How many tons of vegetables did the store sell on each of the days if it sold a total of 98 tons of vegetables on those three days
On solving the provided question, we can say that by equation
30 tons of veggies were sold on the first day, 33 tons on the second day, and 35 tons on the third day.
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
x = amount (ton) of vegetables sold on day one; y = amount (ton) of vegetables sold on day two. Z = the amount of vegetables sold on the third day (in tons).
[tex]x=y-3\\z=(5/9)*(x+y)\\x+y+z=98\\x+y+[(5/9)*(x+y)]=98\\ 9x+9y+5x+5y=882\\14x+14y=882\\x=y-3\\14x+14y=882[/tex]
solution
[tex]x=30\\y=33\\x+y+z=98---- > z=98-(x+y)---- > z=98-63--- > 35[/tex]
30 tons of veggies were sold on the first day, 33 tons on the second day, and 35 tons on the third day.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
Find the greatest common factor of $144$ and $405$.
Answer:The answer to your question is 9
Write a recursive formula for an,the nth term of the sequence 125, -25, 5, ...
Recursive formula for a(n) , the nth term of the sequence is
⇒ a(n) = 125 × (5)ⁿ⁻¹
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
We have to given that;
The sequence is,
⇒ 125, - 25, 5 , ....
Clearly, The sequence is a geometry sequence with common ratio - 5 and first term 125.
We know that;
The nth term of geometry sequence is,
⇒ a(n) = a rⁿ⁻¹
Where, 'r' is common ratio and 'a' is first term of the sequence.
Substitute all the values, we get;
The nth term of the given sequence is,
⇒ a(n) = a rⁿ⁻¹
⇒ a(n) = 125 × (5)ⁿ⁻¹
Learn more about the geometric sequence visit:
https://brainly.com/question/25461416
#SPJ1
The average weekly salary of two employees is $5350. One makes $250 more than the other. Find their salaries.
One employee makes $
and the other makes $?
Answer:
g
Step-by-step explanation:
g
What is the sum of all the positive two-digit integers where one of the digits is three times the other
The sum of all the positive two-digit integers where one of the digits is three times the other is 630.
To arrive at this result, the numbers can be broken down into two groups. The first group consists of numbers with 3 as the first digit, and the second group consists of numbers with 3 as the second digit.
For the first group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9. This gives a sum of 3+6+9+12+15+18+21+24+27 = 135.
For the second group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9 and then reversing the digits. This gives a sum of 30+60+90+12+51+81+21+42+72 = 495.
The total sum of all the positive two-digit integers where one of the digits is three times the other is 135+495 = 630.
For more questions like Integers click the link below:
https://brainly.com/question/490943
#SPJ4
50PTS 50PTS don’t explain just answer.
Answer:
[tex] \sf \: x = 7[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of x.
Forming the equation,
→ 2x + 5 = 3x - 2
Then the value of x will be,
→ 2x + 5 = 3x - 2
→ 2x - 3x = -2 - 5
→ -x = -7
→ [ x = 7 ]
Hence, the value of x is 7.
What is 200/51 equal to
Answer:
Approx 3.92
Step-by-step explanation:
Evaluate the expression: 15(6 – 4)
WILL MARK BRAINLIEST
Answer:
30
Step-by-step explanation:
15(6 – 4)
=15(2)
=30
Answer:
larespuesta a conseguir sería 86
y 65° 25
can someone solve this ?
A store that specializes in shipping packages reports that the distribution of packages shipped during the winter holidays is normally distributed with a mean of 4. 5 pounds with a standard deviation of 1. 8 pounds
What is the probability that two randomly selected packages are both more than 4. 5 pounds? (assume the packages are independent of each other)
a. ) 0. 5
b. ) 1
c. ) 0
d. ) 0. 25
The correct option is option (d).
To solve this problem, we need to find the probability that two randomly selected packages are both more than 4.5 pounds. Since the distribution is normal, we can use the standard normal distribution table to find the probability.
The first step is to standardize the weight of the packages by subtracting the mean from the weight and dividing it by the standard deviation. The weight of 4.5 pounds is the mean, so the standardized weight is (4.5 - 4.5) / 1.8 = 0.
The probability that a package weighs more than 4.5 pounds is the same as the probability that a standardized package weighs more than 0. This probability is equal to 1 - P(Z < 0) , where Z is the standardized weight.
Using a standard normal distribution table, we find that P(Z < 0) = 0.5. Therefore, the probability that a package weighs more than 4.5 pounds is 1 - 0.5 = 0.5.
Since the two packages are independent, we can find the probability that both packages are more than 4.5 pounds by multiplying the probability of one package being more than 4.5 pounds by itself. So, the probability that two randomly selected packages are both more than 4.5 pounds is 0.5 * 0.5 = 0.25.
In conclusion, the probability that two randomly selected packages are both more than 4.5 pounds is 0.25
Read more about Probability:
https://brainly.com/question/11034287
#SPJ4
Willow has a board that is 10 feet long. She needs to cut the board into equal pieces that are 1/3 feet long.
How many pieces can she cut?
Answer:
12
Step-by-step explanation:
In altitude BH and angle bisector AL intersect at point M. Given m∠HML = 100° and m∠MLC = 110°. Find angles of △ABC
The angles of triangle ABC are 60 degrees when altitude BH and bisector AL intersect at point M.
What is equilateral triangle?
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides.
Given that:
[tex]\angle HML = 100 \\\\\angle MLC = 110[/tex]
Since, BH is the altitude [tex]\angle MHC= 90[/tex].
The total angle of a quadrilateral is 360, hence:
100 + 110 + 90 + C = 360
C = 60 degrees.
Now consider triangle BHC:
The sum of angle of a triangle is 180, hence:
90 + 60 + B = 180
B = 30
Since the half angle B = 30, the entire [tex]\angle ABC = 60[/tex].
Consider triangle ABC:
Using sum of triangles, we have:
[tex]\angle A + \angle B + \angle C = 180\\\\\angle A + 60 + 60 = 180 \\\\\angle A = 60[/tex]
Hence the measure of angles of triangle ABC is 60 degrees.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ4
what is the correct value of 3x + 2 for x = 5?
Answer:
17
Step-by-step explanation:
3x + 2
x = 5
3x + 2
3(5) + 2
15 + 2
17
[tex]\boxed{The\:value\:of\:3x\:+\:2\:for\:"x\:=\:5"\:is\:17.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3x + 2 \\ = 3(5) + 2 \\ = 3 \times 5 + 2 \\ = 15 + 2 \\ = 17[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
If you have 10 friends and make two equal teams, what fraction do you use?
What additional information would be necessary to determine sin A?
We can determine sin an in the above triangle using the available information without applying the Pythagorean theorem since the length of BC is required because it is the side opposite A.
We are told that we must calculate sin(a) without utilizing the Pythagorean theorem.
Now, we can see from the abbreviation SOHCAHTOA that if we wish to determine Sin a, it will be; sin a = opposite/adjacent
We must now locate a side opposing the angle A or the hypotenuse.
As a result, since the triangle is ABC, the required side is BC because it is the side opposite to A.
Finally, the length of BC is required because it is the side opposite A.
For more questions on Pythagorean theorem:
https://brainly.com/question/343682
#SPJ4
The complete question should be like:
What additional information would be necessary to determine sin(A) without using the Pythagorean theorem? Explain.
6^7/6^5 in index form
Answer:
[tex]6^{2}[/tex]
Step-by-step explanation:
When dividing numbers with same bases with indices this is the rule:
[tex]\frac{x^{y}}{x^{z} } =x^{y-z}[/tex]
So the answer is:
[tex]6^{7-5} = 6^{2}[/tex]
i need help PLEASE DONT GIVE ME THE BITLY LINKS
Answer:
610
Step-by-step explanation:
area of triangle is A=0.5*h*b
a=0.5*20*(8+8+15)
a=310
area of square=lh
a=15*20
a=300
300+310=610
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
The first law of motion
Step-by-step explanation:
Mai bought some party supplies from an online store. For shipping, the shop charges a flat fee of $7.95 or 6.25% of the total purchase, whichever is greater. Suppose Mai's total purchase is $128. How much shipping will she pay?
Answer:
8
Step-by-step explanation:
if we do 128+7.95 we get 135.95. but when we do 128+8(wich is 6.25% of 128) we get 136. so she will pay 8 dollars in shipping
Hope this helps.
28.2, 27.22, 27.62 , 27.54 , 27.5 in Greatest to Least
Answer:
28.2, 27.63, 27.54, 27.5, 27.22
Answer: 28.2, 27.62,27.5,27.22
Step-by-step explanation:
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'. Write 2 equations that could be used to solve for missing lengths?
2 equations that could be used to solve for missing lengths are:
[tex]\frac{AD}{A'D'} = \frac{BC}{B'C'}[/tex]
Now, According to the question:
Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
ABCD ~ A'B'C'D'
So,
[tex]\frac{AB}{A'B'} = \frac{BC}{B'C'}\\ \\ \frac{CD}{C'D'} = \frac{AD}{A'D'}[/tex]
Hence, 2 equations that could be used to solve for missing lengths are:
[tex]\frac{AD}{A'D'} = \frac{BC}{B'C'}[/tex]
Learn more about Quadrilateral at:
https://brainly.com/question/11037270
#SPJ4
Simplify the expression. (-3+ 4n²) - (5 - 2n²)
Answer:
2(3n^2-4) and 6n^2-8
Step-by-step explanation:
There are two different answers but try at least both of them.
10) En un triángulo rectángulo ABC, B es un ángulo
recto y m < A = 23° (medida del ángulo A). Si el
lado opuesto al ángulo A mide 17cm ¿Cuánto
mide la hipotenusa?
Answer:
140
Step-by-step explanation:
Primera tienes que sumar 23 y 17 despues tienes que buscar la differencia de 180 y 40.
8⁶ ÷ 8?
can yall help me my brains gone dead
Answer:
32768
Step-by-step explanation:
8^6 is 262144, divide by 8. Your answer is 32768
Answer:
32768
Step-by-step explanation:
8 to the power of 6 is 262144
262144 divided by 8=32768
also invite me to ur brains funeral
(i) Write 3^-2 as a fraction
(ii) Find the value of 3X^0 when X=5
ans Is here i) 1/9
ii) 3
tq brainlest?