Answer:
Step-by-step explanation:
Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic functions may or may not have x-intercepts
Answer:
Yes, I agree
Step-by-step explanation:
For the cubic function
A cubic function is represented as:
[tex]f(x)=ax^3+bx^2+cx+d[/tex]
A cubic function may have 1, 2 or 3 x intercepts. This is shown below
For 3 x intercepts
[tex]y = x^3 - x[/tex]
Equate y to 0
[tex]x^3 - x = 0[/tex]
Expand
[tex]x(x^2 - 1) = 0[/tex]
Express [tex]x^2 - 1[/tex] as difference of two squares
[tex]x(x - 1)(x +1 ) = 0[/tex]
x = 0 or 1 or -1
For 2 x intercepts
[tex]y = x^3 - x[/tex]
[tex]y =(x-5)^2)(x+7)[/tex]
Equate y to 0
[tex](x-5)^2(x+7) = 0[/tex]
Expand
[tex](x-5)(x-5)(x+7) = 0[/tex]
x= 5 or x = -7
For 1 x intercept
[tex]y = x^3[/tex]
Equate y to 0
[tex]x^3 = 0[/tex]
Take cube roots of both sides
[tex]x = 0[/tex]
It has been shown above that a cubic function may have 1, 2 or 3.
So, I agree to the statement
For the quadratic function
A quadratic function will not have any x intercept when the function can not be factorized;
E.g.
[tex]y = x^2 + x + 17[/tex]
The above function has no x intercept.
A quadratic function will have at least 1 x intercept when the function can be factorized;
E.g.
[tex]y = x^2- 6x + 9[/tex]
Equate y to 0
[tex]x^2- 6x + 9 = 0[/tex]
Expand
[tex]x^2 - 3x - 3x + 9 = 0[/tex]
[tex](x - 3)(x-3) = 0[/tex]
[tex]x = 3[/tex]
We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)
Hence, I agree to both statement
Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain what that ratio meant. Kym said it meant that 25% of the students in the cafeteria were boys.
Explain why Kym is incorrect.
Answer:
Kym is wrong because instead of 25% it would be 50 percent
Step-by-step explanation:
Answer:
Sample Response: The ratio of boys to total students was 25:50. Written as a fraction, this is 25/50. Rewrite the fraction with a denominator of 100 to 50/100. So 50% of the students were boys.
You might wanna change up some words so the teacher doesn't know your cheating lol
My question is what is the answer to 2y = x + 3
x = y
Answer:
(0,0)
Step-by-step explanation:
1.
A bucket is put under a leaking ceiling. The amount of water in the bucket doubles every minute. After 8 minutes,
the bucket is full. After how many minutes is the bucket half-full?
I
Answer:
4min
Step-by-step explanation:
half full = 4min. disregard the doubles every min.
Answer:
7 minutes
Step-by-step explanation:
fiza is mixing antifreeze and water. she has 21 litres of a mixture of antifreeze and water in the ratio 5:2 .
A . how much water would she have to add to get1:1.
B . how much water would she have to add to get 1:2
9514 1404 393
Answer:
9 liters24 litersStep-by-step explanation:
The amount of water in the mix is 2/(5+2) = 2/7 of the volume of the mix. That amount is ...
(2/7)(21 liters) = 6 liters
Then the other 21-6 = 15 liters are antifreeze.
A) To make the mix 1 : 1, 15-6 = 9 liters of water need to be added.
__
B) To make the mix 1 : 2, The total amount of water needs to be brought to 30 liters. 15 more liters need to be added for a total of 24 added liters of water.
Answer:
Step-by-step explanation:
The family’s leaders have pulled off three of the great marketing triumphs of the modern era: The first is selling OxyContin; the second is promoting the Sackler name; and the third is ensuring that, as far as the public is aware, the first and the second have nothing to do with one another.
To the extent that the Sacklers have cultivated a reputation, it’s for being earnest healers, judicious stewards of scientific progress, and connoisseurs of old and beautiful things. Few are aware that during the crucial period of OxyContin’s development and promotion, Sackler family members actively led Purdue’s day-to-day affairs, filling the majority of its board slots and supplying top executives. By any assessment, the family’s leaders have pulled off three of the great marketing triumphs of the modern era: The first is selling OxyContin; the second is promoting the Sackler name; and the third is ensuring that, as far as the public is aware, the first and the second have nothing to do with one another.
If you head north on I-95 through Stamford, Connecticut, you will spot, on the left, a giant misshapen glass cube. Along the building’s top edge, white lettering spells out ONE STAMFORD FORUM. No markings visible from the highway indicate the presence of the building’s owner and chief occupant, Purdue Pharma.
Originally known as Purdue Frederick, the first iteration of the company was founded in 1892 on New York’s Lower East Side as a peddler of patent medicines. For decades, it sustained itself with sales of Gray’s Glycerine Tonic, a sherry-based liquid of “broad application” marketed as a remedy for everything from anemia to tuberculosis. The company was purchased in 1952 by Arthur Sackler, thirty-nine, and was run by his brothers, Mortimer, thirty- six, and Raymond, thirty-two. The Sackler brothers came from a family of Jewish immigrants in Flatbush, Brooklyn. Arthur was a headstrong and ambitious provider, setting the tone—and often choosing the path—for his younger brothers. After attending medical school on Arthur’s dime, Mortimer and Raymond followed him to jobs at the Creedmoor psychiatric hospital in Queens. There, they coauthored more than one hundred studies on the biochemical roots of mental illness. The brothers’ research was promising—they were among the first to identify a link between psychosis and the hormone cortisone—but their findings were mostly ignored by their professional peers, who, in keeping with the era, favored a Freudian model of mental illness.
Concurrent with his psychiatric work, Arthur Sackler made his name in pharmaceutical advertising, which at the time consisted al
Jill earned $40 from a carpool plus 59 per hour (h) babysitting this week. Which of the following expressions best represents Jill's income for the week? (2 points) a 9 +40h Ob 9+h+ 40 9h + 40 d 9 + 40
2. Find the square root.
(a) V25
Answer:
answer is 5 hope it helps
Answer:
5
is the square root of [tex]\sqrt{25}[/tex]
Step-by-step explanation:
[tex]\sqrt{25} = 5\\[/tex]
look at the two sums shaded in the addition table.why are the sums the same
Answer:
LOOK
Step-by-step explanation:
Because of the communitve property of addtion which states that
x+y=y+x
In the addition table
5+9 is equal to 9+5 and both equal 14
GOOD AT MATH!! PLEASE HELPPP
Answer:
C : JK is longer than JL.
Step-by-step explanation:
We can use the pythagorean theorem to solve this question, if we think of lines JK and JL as hypotenuse lengths. Triangle JK has side lengths of 5 and 5. Triangle JL has side lengths of 1 and 5. JK is longer than JL.
Answer:
C
Step-by-step explanation:
use the distance formula d= [tex]\sqrt (x2-x1)2+(y2-y1)2[/tex]
The distance of J to K is 6.403124
The distance of J to L is 5.09902
-2j - 10 = -6 She calculated j = 8
Is this correct or incorrect?
Answer:
incorrect
Step-by-step explanation:
this is incorrect because i solved it and i didn't got that answer
hope this helps:)
Pls mark brainlist
Answer:
Incorrectj = -2Explanation:
-2j - 10 = -6
Add 10 To Both Sides−2j − 10 + 10 = −6 + 10
−2j = 4
Divide Both Sides By -2-2j / -2 = 4 / -2
j = -2Kaitlin purchased a prepaid phone card for $20. Long distance calls cost 11 cents a minute using this card. Kaitlin used her card only once to make a long distance call. If the remaining credit on her card is $15.82 , how many minutes did her call last?
Answer: 38 minutes
Step-by-step explanation:
find the measure of ∠A, round to the nearest tenth.
A scientist wants to know if the color of the water affects how much animals drink. The average amount of water each animal drinks was recorded in milliliters for a week and then graphed. Is there evidence to suggest an association between water color and animal?
Answer:
Yes, there is very clear evidence to suggest or show a correlation between
watercolour and each animal's response to the water as well as their total responses.
Explanation
When the water was blue, the total water consumed by both animals came to 1410 ml. The dog consumed more water than the cat. The dog drank 1200 ml while the cat drank just 410 ml.
When the color of the water was changed to green, the animals drank a total of 1300 ml. The cat drank 200 ml while the dog drank 1100 ml.
We can thus, establish that there is an association between the color of the water and the volume of water taken by each animal because on the whole, both animals seem to prefer blue water. They drank more water when its color was blue and less when it was red.
Please see the attached document.
Cheers
HELPP (2) this is due in 4 mintues
Answer:
I think its A.
Step-by-step explanation:
e is 5 more than d f is 7 less than d write an expression for f in the terms of d
Answer:
Step-by-step explanation:
d-7
The distance between town a and town b on a Map is 14.6cm. If the scale is 1cm=14miles, what is the actual distance between towns
Answer:
204.4 miles
Step-by-step explanation:
Given data
we are told that on the map the distance is 14.6cm
scale
1cm=14miles
hence if
1cm represents 14miles
then 14.6 cm will be x
cross multiply
x= 14.6*14
x=204.4 miles
Hence the distance is 204.4 miles
6. A candle that is 8 inches tall burns at a rate of 3/4 inches per hour. Find the height of the
candle after 4 hours.
1
5
9
2 ft
18 Ft
A rectangular window 5 feet by 2 feet is on a rectangular wall 9 feet by 18 feet. The rest of the
wall needs to be painted. Approximately how many square feet of wall needs to be painted? *
64 square feet
68 square feet
O
152 square feet
O 172 square feet
Answer:
152sqft
Step-by-step explanation:
5 * 2 = 10
9 * 18 = 162
162 - 10 = 152
SOMEONE PLEASE HELP!!
Answer:
48
Step-by-step explanation:
You were right. Just multiply it!
Triangle A
Triangle B
Which of the following sequences of transformations will carry triangle A onto triangle B?
O A. Rotate triangle A 90° clockwise about (-1,-4), reflect it over the x-axis, and translate it 3 units to the left.
ОВ.
Translate triangle A 1 unit up and 1 unit to the left, rotate it 90° clockwise about the origin, and reflect it over the y-axis.
Answer:
A
Step-by-step explanation
A
Answer:
Do not trust his answer!! its B
Step-by-step explanation:
I did this question and i picked A because the other person said too but it was wrong
Which statement correctly describes the relationship between the point (-3, 2), and point Q?
Answer: it is a reflection across the x-axis sorry if I responded late
X=?
Enter the number that goes in the green box.
Please helpppp:(
Answer:
x=35°
Step-by-step explanation:
145°+110°+70°=325°
360°-325°=35°
every day of the week sam's swim shop offers a different deal to its loyal customers. if the total price neil paid was $92.30 and it would normally cost $142.00, what percent off was the daily deal?
Answer:
$48.60
it would cost up to that much because
Work out the size of angle x.
98
85°
The size of the angle x is 13°
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
From the figure,
Let the triangle having ∠x have the following angles:
∠A and ∠B.
Now,
∠A is opposite to 85°.
So,
∠A = 85°
98° and one angle are corresponding angles.
So,
One angle = 98°
Now,
One angle and ∠B is a straight angle.
So,
∠B + 98 = 180
∠B = 180 - 98
∠B = 82°
Now,
The sum of the triangle is 180.
This means,
x + 82 + 85 = 180
x = 180 - 167
x = 13
Thus,
The value of x is 13.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ5
write the recurring decimals as fractions 0.15 and 0.369
Answer:
0.15=3/20
0.15/1
0.15x100=15 divide by 5
1x100=100 divide by 5
3 over 20
0.369=369/1000
0.369/1
0.369x1000=369 divide 1
1x1000=1000 divide 1
369 over 1000
0.25x+7.5=15 Explain or show each step.
Answer:
x = 30
Step-by-step explanation:
So, you want to get 'x' by itself
0.25x + 7.5 = 15
- 7.5 -7.5
0.25x = 7.5
--------- ------
0.25 0.25
x = 30
in order for an object to begin to move. stop moving, or change direction, which of the following must be present?
Answer:
I think question is incomplete . So I can't give answer.
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2015?
Answer:
$112,500
Step-by-step explanation:
Help! Will mark brainliest
Answer:
Putag Ina mo 1 +1
Step-by-step explanation:
Jajajjsjdjfufyfuchdkdc
Helpppppp mehhhhh (^0^)