If a parabola has its vertex at (4, -2). One of its zeros is 1. What is the other zero?
Answers
2*4 -1 = 7
The other zero is x=7.
The other zero of the parabola with a vertex at (4, -2) and one zero at 1 is 7, determined by the symmetry of the parabola about its vertex.
If a parabola has its vertex at (4, -2) and one of its zeros is 1, we can find the other zero by using the concept of symmetry about the vertex. Since the axis of symmetry for a parabola with a vertical axis goes through the vertex, we know that the x-coordinate of the vertex will be exactly in the middle between the two zeros. The vertex form of a parabola's equation is typically written as y = a(x-h)² + k, where (h, k) is the vertex. In this case, the vertex is (4, -2).
Knowing that one zero is 1, we can determine that the other zero is equidistant from the vertex on the other side. This means that the distance from the vertex x-coordinate (4) to the known zero (1) is 3 units (4 - 1 = 3). So, counting 3 units in the other direction from the vertex's x-coordinate will give us the second zero: 4 + 3 = 7. Thus, the other zero of the parabola is 7.
Related Questions
solve for x: A=2xy what is the answer
Answers
thats the only answer based on information you given
Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot what is the width of Claire's backyard
Answers
If Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot, then the width of Claire's backyard would be 12 feet.
To find the width of Claire's backyard, we'll first calculate the perimeter of the rectangle using the given length and the total cost of fencing. Then, we'll use the perimeter to find the width.
The perimeter of a rectangle is given by the formula:
[tex]\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \][/tex]
Given that the length of Claire's backyard is 19.5 feet and the total cost of fencing is $945 at $15 per foot, we can calculate the perimeter using the cost of fencing:
[tex]\[ \text{Perimeter} = \frac{\text{Total cost}}{\text{Cost per foot}} \][/tex]
[tex]\[ \text{Perimeter} = \frac{945}{15} = 63 \text{ feet} \][/tex]
Now, we'll use the perimeter formula to find the width:
[tex]\[ 63 = 2 \times (19.5 + \text{Width}) \][/tex]
Divide both sides by 2:
[tex]\[ 31.5 = 19.5 + \text{Width} \][/tex]
Subtract 19.5 from both sides:
[tex]\[ \text{Width} = 31.5 - 19.5 = 12 \text{ feet} \][/tex]
So, the width of Claire's backyard is 12 feet.
The complete question is:
Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot what is the width of Claire's backyard
Me and my mate Dave order pizzas.I eat six eights of mine, Dave only manages two sevenths of his. If we put the remains together,can we make one whole pizza?
Answers
sarita use 54 ounces of apples to make an apple pie how many pounds and ounces of apples did sarita use
Answers
so Sarita used 3 pounds and 8 oz.
Here is your answer:
The proper answer to this question is "3".
Here is how:
54 ounces= 3.375 pounds (rounded to 3)
1 pound=16 ounces
Your answer is 3.
If you need anymore help feel free to ask me!
Hope this helps!
Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.
Which polling methods are likely to be biased?
Select each correct answer.
Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.
Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.
From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.
Five of Janine's friends are selected and asked for whom they intend to vote.
Answers
The polling methods likely to be biased are when Option d. Five of Janine's friends are selected and asked for whom they intend to vote.
When conducting a poll, it is important to ensure the sampling method is random and representative. Here are the methods and their potential biases:
Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote. — This method is likely to be biased because it relies on the initial selection of supporters, which creates a non-random and unrepresentative sample.Every 10th club member from a list of all members is selected and asked for whom the member intends to vote. — This method is less likely to be biased as it uses systematic sampling, which is more representative of the entire population.From a list of all club members, 25 members are selected at random and asked for whom they intend to vote. — This method is unlikely to be biased because it employs a simple random sample, ensuring each member has an equal chance of being selected.Five of Janine's friends are selected and asked for whom they intend to vote. — This method is likely to be biased due to the convenience sampling of her friends, which is not representative of the entire club.Hence option D is likely to be biased.
Complete question:
Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.
Which polling methods are likely to be biased?
Select each correct answer.
a. Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.
b. Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.
c. From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.
d. Five of Janine's friends are selected and asked for whom they intend to vote.
a large aquarium 18 inches deep holds 30 gallons of water. a small aquarium with the same shape holds 20 gallons of water. how deep is the small aquarium to the nearest inch?
Answers
I'll give brainliest if you show your work. Plz answer quickly.
Which two numbers does Square root of 52 lie between on a number line?
7.0 and 7.1
7.1 and 7.2
7.2 and 7.3
7.3 and 7.4
Answers
That lies between 7.2 and 7.3
Hope this helped!
Which of the following are geometric sequences?
(check all that apply)
A. 2,-2,2,-2,2,-2,2
B. 1,4,9,16,25,36,49
C. 10,5,2.5,1.25,0.625,0.1325
D. 1,2,4,8,16,32
Answers
C. 10,5,2.5,1.25,0.625,0.1325
and
D. 1,2,4,8,16,32
Are all geometric sequences
This means that each sequential # is derived by either multiplying or dividing by a number.
For instance, A. is found by multiplying each by - 1, B. is found by multiplying each by 1/2 (0.5), and D. is found by multiplying each by 2
In a scale drawing of an apartment 1 centimeter represents 2 3/4 feet. If the length of the kitchen is 4 1/2 centimeters on the scale drawing, what is the actual length in feet of the kitchen
Answers
For the solution of this question we will use a technique called the Unitary Method. In this method we find the value of a single unit, which is 1, and then finding the necessary value by multiplying the single unit value.
In our case we are already given the value of the single unit which is 1 centimeter. And it is also given in the question that 1 centimeter =2 3/4 feet. Thus, If the length of the kitchen is 4 1/2 centimeters on the scale drawing, then the actual value of the length of the kitchen will be:
Length = [tex] 2\frac{3}{4}\times 4\frac{1}{2} = \frac{11}{4}\times \frac{9}{2}=\frac{99}{8} =12\frac{3}{8} [/tex] feet
There are 136 people waiting for a river raft ride.Each raft holds 8 people Silvia
Answers
Here is your answer:
The proper answer to this question is that they need "17 rafts".
Here is how:
All you have to do is divide 136 by 8!
Use this equation:
136/8=17
Your answer is 17 rafts.
If you need anymore help feel free to ask me!
Hope this helps!
Sandy's orchard has only apple trees and pear trees and she is wanting to add some avocado trees. Currently, there are 4 apple trees for every 3 pear trees. She is wanting to plant enough avocado trees so that she has 2 avocado trees for every 5 pear trees in the orchard.
Sandy is planting 18 avocado trees, making the ratio of avocado trees to apple trees be to .
Answers
Hope this helped☺☺
(I think this is the answer)
Answer:
3 to 10 OR 3:10
Step-by-step explanation:
Need help with this, thanks.
Answers
14. 2(x+4)
15. 24
16. 11(x+5)
17. 6(4x+3y)
18. 8(2x+10y)
19. 5(2x+3)
Hope this helped☺☺
Answer:
13. 27 + 12 = 39
14. 2x+8/2 = 2(x + 4)
15. 8+ 16 = 24
16. 11x=55/11 = 11(x + 5)
17. 24x + 18y/6 = 6(4x + 3y)
18. 16x + 40y/8 = 8(2x + 5y)
19. 10x + 15/5 = 5(2x + 3)
I truly hope that this was helpful.
clothing store buys coats for $50 and then sells them for $80. what is the percent of increase om the price of the coat?
Answers
(new # - original #) ÷ original # x 100
= (80-50)/50 x 100
= 30/50 x 100
= 0.60 x 100
= 60%
ANSWER: There is a 60% increase on the price of the coat.
Hope this helps! :)
60% is the percent of increase om the price of the coat.
What is the percentage?The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.
The clothes are brought for $50
The selling price is $80
% Change Formula=(Selling price / cost price ) ÷ cost price# x 100
= (80-50)/50 x 100
= 30/50 x 100
= 0.60 x 100
= 60%
The cost of the coat has increased by 60%.
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The scatter plot shows the relationship between the weekly hours spent on social media and the weekly hours spent reading, by the students of a middle school:
What is the y-intercept of the line of best fit and what does it represent?
6 hours; the number of hours students read when they do not spend time on social media
6 hours; the number of hours students spend time on social media when they do not read
8 hours; the number of hours students read when they do not spend time on social media
8 hours; the number of hours students spend time on social media when they do not read
Answers
Answer:
The correct answer is - 8 hours; the number of hours students spend on social media when they do not read.
Step-by-step explanation:
The y intercept is marked as hours spent on social media.
So, the answer is :
8 hours; the number of hours students spend on social media when they do not read.
a recipe calls for 4 tsp of baking soda and 1 fl oz of vanilla which measurment is greater?
Answers
In this problem, you are asked to compare two measurements in different units of measure. The first step to solve this problem is to make the other measurement have the same unit of measure as the other one. You convert 4 tablespoon to fl oz.
1 tsp = 0.5 fl oz
4 tsp = 2 fl oz
Comparing the two measurements, you can conclude that the 4 table spoon (equivalent to 2 fl oz) of baking soda is greater than 1 fl oz of vanilla.
Four days before the 1997 500 Festival Parade, a fire destroyed 10 of the 14 floats. People wanted to know if the parade would be canceled. During the first two days after the fire, the Festival received an average of 22 incoming calls a minute. How many calls did the Festival receive in an hour? How many calls did the receive in 12 hours?
**The parade went off as planned four days later. More than 250,000 people lined the streets to view huge posters and replicas of the floats.
Answers
What is the slope of this line?
Answers
To find slope, calculate the change in y-values and divide it by the change in x-values:
y1 - y2 / x1 - x2
You have the coordinates (-4, 5), (0, 6), and (8, 8). You can use any combination of two of these points to calculate slope. I'll use (0, 6) and (8, 8).
6 - 8 / 0 - 8
-2 / -8
1/4
Answer:
The slope of the line is 1/4
y2 = 8
y1 = 6
x2 = 8
x1= 0
That makes the problem 8 - 6/ 8 - 0. Let's subtract. 8 - 6 is 2. 8 - 0 is 8. 2/8 is 1/4 in simplest form. There. The slope of the line is 1/4.
Madison drove from Atlantic City to newmark. Madison drove for 284 miles at a constant speed of 58 mph how long did it take for Madison to get there?
Answers
284 divided by 58 is 4.89
284 divided by 58 = 4.89 (approximately)
It took Madison 4.9 hours to get there.
graph the quadratic function f(x)=(x−4)(x+2).
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
GRAPH FOR BRAINLIEST
Answers
vertex (1,-9)
Answer:
(1,-9) and (0,-8)
Step-by-step explanation:
a train traveled 1/5 of the distance between two cities in 3/4 hour. at this rate, how many hours will it take the train to travel the entire distance between these two cities
Answers
Which module is not a function?
Answers
stacy has hired tom to build her a doll house. The doll house will be a scale model of her home, and the scale will be 2 inches:3ft. The living room in stacy's house is 18 feet by 12 feet and has wall-to-wall carpeting. Hiw many square inches of carpeting will Tom need for thevliving room in Stacy's doll house?
Answers
To find the area of the living room in Stacy's doll house, we need to use the given scale of 2 inches:3ft.
Explanation:To find the area of the living room in Stacy's doll house, we need to use the given scale of 2 inches:3ft. First, we convert the dimensions of the living room from feet to inches. The dimensions of the living room in inches will be 18 feet * 12 inches/foot = 216 inches by 12 feet * 12 inches/foot = 144 inches.
Next, we multiply the dimensions by the scale factor of 2 inches:3ft. The dimensions of the living room in the doll house will be 216 inches * (2 inches/3ft) = 144 inches and 144 inches * (2 inches/3ft) = 96 inches.
Finally, we multiply the dimensions together to find the area: 144 inches * 96 inches = 13,824 square inches.
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Which of the following options is a better purchase for a microwave? A. $5 down with equal payments of $10 for 15 weeks B. $10 down with equal payments of $5 for 24 weeks C. $0 down with equal payments of $15 for 9 weeks D. $20 down with equal payments of $10 for 11 weeks
Answers
B. $10 down with equal payments of $5 for 24 weeks.
Yolanda participated In a walkathon in which each kilometer walked raised $10 for charity, her goal was to raise more more than $300 on Saturday and Sunday she raised $50 on Saturday which inequality is it?
Answers
50+x(greater or equal to)300
Answer: The required inequality will be 50+x>$300
Step-by-step explanation:
Since we have given that
Amount raised for charity = $10
Amount raised on Saturday = $50
Amount raised on both Saturday and Sunday is more than $300.
Let the amount raised on Sunday be 'x'.
So, Inequality becomes,
Saturday + Sunday > $300
50+x>$300
x>$300-$50
x>$250
So, On Sunday he must raised more than $250.
Hence, the required inequality will be
50+x>$300
how many pairs of parallel sides does the quadrilateral appear to have
Answers
The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n.
smallest value-
largest value-
plz help
Answers
The triangle inequality theorem states that any two sides of a triangle must have a sum greater than the third side. Given the two sides we have, 7 and 4, the sum would be 11; this would mean that the missing side could be no more than 10.
If we take the unknown side and the smallest one we're given, we would have the inequality
n+4>7
Subtracting 4 from both sides we would have n>3. That means it would have to be the next integer up, which would be 4.
Smallest value and largest value of n is [tex]11 , 3[/tex].
The third side of a triangle has a range,
[tex]Sum\; of \;two\; other\; sides\geq n\geq Difference\; of\; the\; sides[/tex]
[tex]7+4\geq n \geq7-4[/tex]
[tex]11\geq n \geq 3[/tex]
Therefore
Largest[tex]=11[/tex]
Smallest[tex]=3[/tex]
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I'll give brainliest if you show your work. Plz hurry.
Which statements are true? Check all that apply.
A square root of 1.8<1.8 (This 1.8 is not Square root)
A square root of 1.8>1 (This 1 is not a Square root)
A square root of 1.8< 1.9 (This 1.9 IS IS IS a square root)
1.3
A square root of 1.9+ the square root of 1.8>2
A square root of 1.9- the square root of 1.8>0.1
Answers
Answer:
Step-by-step explanation:
Given are some statements and we have to check which are true
I) True since [tex]\sqrt{1.8} =1.341<1.8[/tex]
2) True since [tex]\sqrt{1.8} =1.341>1[/tex]
3) True [tex]\sqrt{1.8} =1.341<\sqrt{1.9}[/tex]
4) True since [tex]\sqrt{1.9} +\sqrt{1.8} \\=1.378+1.341\\=2.719>2[/tex]
5) False since
[tex]\sqrt{1.9} -\sqrt{1.8} =1.378-1.341\\=0.037<0.1[/tex]
Answer:
1234
Step-by-step explanation:
22. If triangle DEC equals about triangle BEC, which is true by CPCTC?
A. Angle EBC equals about angle EDC
B. Line AE equals about line EC
**C. Angle A equals about angle C
D. Line AE equals about line ED
I choose C but I’m Lost
Answers
Answer with explanation:
→Triangle DEC equals about Triangle B EC.
⇒The meaning of equal here,is that both the triangles that is, ΔDEC ≅ ΔB EC.
≡When Triangles are congruent,their corresponding sides and angles are equal .
Corresponding Sides which are equal by C P C TC:
1. BE = DE
2.BC =CD
3.EC, is Common.
Corresponding angles which are equal by C P C TC are:
1. ∠B EC=∠DEC
2. ∠ D CE=∠B CE
3.∠ E B C= ∠ E D C
Option A: ⇒Angle E BC equals about angle E DC
Please explain I don’t know how to do this♀️
Answers
r = 1.2, h = 2.9
[tex]V_{Cone} = \frac{1}{3} * \pi *(1.2)^2*2.9 \\ V_{Cone} = \frac{1}{3} * \pi *4.176 \\ V_{Cone} = 4.37 in^3[/tex]
incorrect, 4.3.37
In how many ways can a committee of four
men and three
women be formed from a group of ten
men and six
women?
Answers
[tex]C_{10}^4\times C_6^3\\\text{wherein }C_n^k=\dfrac{n!}{k!(n-k)!}.\text{ Using the formula we get:}\\C_{10}^4\times C_6^3=\dfrac{10!}{4!(10-4)!}\dfrac{6!}{3!(6-3)!}\\=4200[/tex]
(Use a calculator in order to reach the above result.)
So tête number of ways is 4200.