Given:
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.
To find:
The other zero.
Solution:
We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.
It means, line of symmetry passes through the mid point of both zeroes.
Let the other zero be x.
[tex]-3.5=\dfrac{(-9)+x}{2}[/tex]
Multiply both sides by 2.
[tex]-7=-9+x[/tex]
Add 9 on both sides.
[tex]-7+9=-9+x+9[/tex]
[tex]2=x[/tex]
Therefore, the other zero of the quadratic function is 2.
Answer: A=0, B=6, C=4.
The axis of symmetry is x = ½
The smaller zero is -2
The larger zero is 3
Step-by-step explanation: Correct in edge 2020, the format makes it hard to find answers online but I just did the assignment
A food store makes a 10-pound mixture of peanuts, cashews, and raisins. The mixture has twice as many peanuts as cashews. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16. How much of each ingredient did the store use to make the mixture?
I know the equations are likely
X = Peanuts
Y = Cashews
Z = Raisins
X + 2Y + 2Z = 16
2Y = X
X + Y + Z = 10
Answer:
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
Step-by-step explanation:
The number pounds of the mixture = 10
Let the number of pounds peanuts = x
Let the number of pounds cashews = y
Let the number of pounds raisins be equal to z
Hence,
x + y + z = 10
The mixture has twice as many peanuts as cashews.
2y= x
= 2y + y + z = 10
= 3y + z = 10
z = 10 - 3y
Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.
x × $1 + y × $2 × z × $2 = $16
x + 2y + 2z = 16......Equation 2
We Substitute.(2y = x), (z = 10 - 3y)
2y + 2y + 2(10 - 3y) = 16
4y + 20 - 6y = 16
20 - 16 = 6y - 4y
4 = 2y
y = 4/2
y = 2 pounds
z = 10 - 3y
z = 10 - 3(2)
z = 10 - 6
z = 4 pounds
2y= x
2(2) = x
x = 4 pounds
How much of each ingredient did the store use to make the mixture?
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
What is the equation for this line?
Answer:
The equation of the line is y = 2x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the line, [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept (value y at x = 0)Let us take two points on the line to find its equation
∵ Points (3, 3) and (0, -3) lie on the line
∴ x1 = 3 and y1 = 3
∴ x2 = 0 and y2 = -3
→ Use the rule of the slope above to find m
∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]
∴ m = 2
→ Substitute its value in the form of the equation above
∴ y = 2x + b
∵ b is the value of y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation above
∴ y = 2x + -3
→ Remember (+)(-) = (-)
∴ y = 2x - 3
∴ The equation of the line is y = 2x - 3
The function is f(x) is shown in this graph. Compare the slopes.
Answer:I believe the slope is less
Step-by-step explanation:
It’s so easy I’m just dumb.
What is the slope of the line graphed below? (5,3) (-5,5)
Answer:
3
Step-by-step explanation:
but im not sure
Answer:
m = 4/5 (slope)
_____________________________
y = 4/5x - 1 (slope intercept)(y = mx + b)
- 4x + 5y = - 5 (standard form)(Ax + By = C)
y + 5 = 4/5(x + 5) (point slope)(y - y1 = m(x - x1))
Step-by-step explanation:
All you need to do is remember the equation for slope: m = y2-y1/x2-x1
Where your first point is (x1,y1), and your second point is (x2,y2), and m is slope(rate of change : change in y over change in x).
Your first point starts with the smallest x: (-5,-5), then your second point is the greater x: (5,3)
Then just substitute, and solve:
y2-y1/x2-x1 →
3-(-5)/5-(-5) = 3+5/5+5 = 8/10 = 4/5
Extra information:
point slope:
y-y1 = m(x-x1).
Where (x1,y1) is the first point, (x,y) is the second point, and m is the slope. (note: the second point does not have 2 as a subscript so it can be set to slope intercept(y = mx + b) as an equation. This is because you could be given one point, and a slope, and be told to find the other)
Then just plug the coordinates into the equation, and solve for the equation of this line.
Since we already know what the slope is, we can just solve for the general equation given one point:
y-y1 = m(x-x1)
y+5 = 4/5(x+5). (point slope)
y + 5 = 4/5x + 4
-5 -5
____________
y = 4/5x - 1
(slope intercept)
Given slope, another way to find the y intercept is to multiply the current x coordinate by the slope, and add it to the current y value.
given a point (5,3), and a slope of 4/5. The line will be y = slope × x + (y2 - (m × x2)),
y = 4/5 × x + (3 - (4/5 × 5))
y = 4/5x + (3 - 4)
y = 4/5x - 1
_________
what is 25 2/3 - 15 1/3 =
Answer:
10 1/3
Step-by-step explanation:
Convert mixed numbers into improper fractions (whole number × denominator + numerator)
25 2/3 and 15 1/3
25 × 3 + 2 = 75 + 2 = 77
Put the number over the same denominator
77/3
15 × 3 + 1 = 45 + 1 = 46
Put the number over the same denominator
46/3
77/3 - 46/3
They have common denominators so we can simply subtract the numerator values
77 - 46/3
31/3
To convert it back to a whole number, find how many times 3 fits into 31 evenly
It fits 10 times evenly with 1 remainding which looks like:
10 1/3
Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
plssssssssssssssss
Can someone please help me asap I’ll mark brainlist!!!!!
Answer:
No because the aren’t equalll
Step-by-step explanation:
Is this ggod
Answer:
No
Step-by-step explanation:
32/4 = 8
72/10 = 7.2
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes? *
5 points
10 meters
20 meters
100 meters
200 meters
Is the following equation proportional? y = 6x + 2 *
5 points
Yes
No
(sorry its two questions)
Answer:
100 meters 20/5=100
Not sure about the second one
hope this helps
Step-by-step explanation:
Jack and Jill are saving for their first car. Jack saves $7 for
every $10 Jill saves. If Jill has $350 in her savings account,
then how much has Jack saved?
Answer:
Jack has saved $245.
Step-by-step explanation:
You divide $350 by $10, and you get 35. Then multiply Jack's $7 by 35 and you get $245!
Hope this has helped you! :)
Happy Halloween!~
evaluate 24−8x when x=−2
Answer:
8
Step-by-step explanation:
8
Vicky reads at a constant rate. She can read 5 pages in 9 minutes write a linear equation in variables that represents the number of pages vicky reads in any given time interval
Answer:
5x=9 and that is the answer
how is a dilation different from other transformations?
EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT
Answer:
2. x=25°
3. x=15°
4. x=26°
Step-by-step explanation:
For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.
30+20+x=180 [combine like terms]
50+x=180 [subtract both sides by 50]
x=130
Now that we have the missing angle, we can use that to solve for x.
2x+130=180 [subtract both sides by 130]
2x=50 [divide both sides by 2]
x=25°
Now, we know that x=25°.
For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
8x+25+2x+5=180 [combine like terms]
10x+30=180 [subtract both sides by 30]
10x=150 [divide both sides by 10]
x=15°
Now, we know that x=15°.
For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
x+12+52+90=180 [combine like terms]
x+154=180 [subtract both sides by 154]
x=26°
Now, we know that x=26°.
Answer:
3. x = 5 4. x = 26
Step-by-step explanation:
3.
(2x + 5) + 8x + 25 = 180
10x +30 = 180
10x = 150
x = 15
4.
52 + 90 + x+12 = 180
52 + 90 + 12 = 142
x + 142 = 180
x = 180 - 154
x = 26
4x 32 – 3 +5 x 2 = 0
A. 33
B. 43
c. 36
D. 58
E 34
Answer:
I think it is C
Step-by-step explanation:
An ant has a mass of 0.005 gram. A small be has a mass of 0.05 gram. A grasshopper has a mass of 0.5 gram. How many ants would it take to equal the mass of 1 grasshopper.
Answer:
200 ants
Step-by-step explanation:
Im not really sure on this but i tried lbao
Convert the numbers to standard from 7.23x10^-10
Step-by-step explanation:
ok this is search from Google this is right or wrong
Question:
Convert the numbers to standard from 7.23 × 10^(-10)
Answer:
7.23 billionths or 0.000000000723
Explanation:
First, convert the standard form of 10^(-10) to 1 ÷ 10^(10). Thus, the standard operation would be:
7.23 ÷ 10^10 or 7.23 ÷ 10,000,000,000
Hence, you could write it in a reciprocal of a billion, which is a billionth. You could write it in the form of 7.23 billionths or just write it 0.000000000723.
Hopefully this answer helps you.
7. Write a 4 digit number that is divisible by 2, 3, and 6.
Answer:the answer is 9998.
Step-by-step explanation:
The largest 4 digit number divisible by 2 . The number should be divisible by 2 or multiple of it. So the largest 4 digit number is 9999 it is not divisible by 2 so the earlier number 9998 can be considered so as it is divisible by 2. It is the answer is 9998.
Answer:
1008 is the correct answer (i think)
Step-by-step explanation:
1008/2 is 504
1008/3 is 336
1008/6 is 168
hope this helps!
A daycare charges $195 per week for each child that attends. There are 51 children that attend each week.
What is the best estimate for the total amount of money the daycare receives each week?
A. $5,000
B. $7,000
C. $10,000
D. $15,000
Answer:
c
Step-by-step explanation:
195 x 51 =9945
estimated = 10,000
Which expression is equivalent to x−2y ?
Answer:
-2y+x
Step-by-step explanation:
x-2y
-2y+x
Answer:
x+2y+x+2
=2x+2y+2
=2(x+y+1)
Step-by-step explanation:
i hope its right
Jaden places potatoes with a mass of 0.55 kilograms on a grocer's scale. The spring is displaced by 1.2 centimeters. He then places some onions on the scale that displace the spring by 0.67 cm. What is the mass of the onions (1 kg=9.8 N)? 5.39 kg 3.01 kg 0.67 kg 0.31 kg
Answer:
.31 kg
Step-by-step explanation:
F=kx
F = the force of the spring
k = the spring constant
x = the spring displacement (stretch or compression)
we also know that 1 kg = 9.8 N which also means that 9.8(kg)=F
let's first find the force of the first problem, which is .55 kg. Using the formula 9.8(kg)=F we can do 9.8(.55)=F which would mean the force is 5.39 N
so 5.39=k(1.2 centimeters)
Now we need to convert centimeters to meters. This would make 1.2 into .012m. Now our problem is 5.39=k(.012)
divide 5.39 by .012 to get 449.17
our k is 449.17
Now for our problem, we are going to find the mass.
Do this by putting what we already know into the problem.
F=449.17(.67 centimeters)
Now we already know we need to convert centimeters to meters which will make our formula F=449.17(.0067m)
This will result in F=3.01 but the problem is asking for mass, not force.
Use the formula 9.8(kg)=F
9.8(kg)=3.01
kg=.31
solution: .31 kg
IF yall report 1 more time istg
Whats 2/3 x 1/5
Answer:
2/15
Step-by-step explanation:
2/3*1/5=2/15
Answer:
0.133
Step-by-step explanation:
What is the distance between (2, 8) and (-7, 8)?
Answer:
9
Step-by-step explanation:
The distance between (2,8) and (-7,8) is 9
Answer:9
Step-by-step explanation:
15.24 = 8.44 + 5x step by step pls :)
Answer:
19.334
Step-by-step explanation:
First I multiplied.
15.24 x 1.64 = 24.9936
Then I convert my answer to British pounds.
24.9936 = 19.334 British Pound Sterling
Answer:
1.36
Step-by-step explanation:
15.24 = 8.44 + 5x
subtract 8.44 from both sides
6.80 = 5x
divide both by 5
x = 1.36
Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?
Answer:
The coordinates of the image of point A are (-1, -6)
Step-by-step explanation:
Let us revise the rule of translation to the left, down, and reflection across the x-axis
If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)∵ The coordinates of point A are (3, 4)
∵ It is translated 4 units left
∴ h = 4
→ By using the 1st rule above
∴ Its image is (3 - 4, 4)
∴ Its image is (-1, 4)
∵ Its is reflected across the x-axis
→ By using the 3rd rule above change the sign of its y-coordinate
∴ The new image is (-1, -4)
∵ It is translated 2 units down
∴ k = 2
→ By using the 2nd rule above
∴ The final image is (-1, -4 - 2)
∴ The final image is (-1, -6)
∴ The coordinates of the image of point A are (-1, -6).
Rebekah lives on a large, rectangular-shaped property that has a length 500 m and a width of 200 m. If it takes Rebekah 420 s to run the entire perimeter of her property, what is her average speed in meters per second rounded to the nearest hundredth?
Answer:
3.33m/s
Step-by-step explanation:
The perimeter of a rectangle is
= 2(L + W)
L = 500m
W = 200m
= 2(500 + 200)
= 2(700)
= 1400m
If it takes Rebekah 420 s to run the entire perimeter of her property.
Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time
= 1400m/420s
= 3.3333333333 m/s
Approximately = 3.33m/s
The price of a gallon of unleaded gas has risen to $2.86 today. Yesterday's price was $2.81. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
1.8%
Step-by-step explanation:
2.86-2.81 = .05 (find the difference between the two numbers)
2.81 / .05= .017 (divide the original number)
Multiply 100 to get a percentage
1.8% (rounding to the nearest tenth)
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Match each expression or inequality to the quantity that it represents.
Answer:
20 times 4
Step-by-step explanation:
Han's team has 4 players.
A perfect score is the maximum possible score. Each player can score up to 20 points in each round, so 20 points is the maximum score.
If each of the 4 players scores 20 points, then the total score for the team is:
20 *4
That is the expression for the team's points.
Answer: 20*4
A package of 4 pairs of insulated socks costs $22.36 . What is the unit price of the pairs of socks ?
Answer:
5.59
Step-by-step explanation:
22.36/4 = 5.59
hope this helps!
is so eassy 2 puls 2
Answer:
4
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Franco read of a chapter of his history book in § of an hour. At this rate, how many chapters of his history book
can he read in 1 hour?
Answer:
1 7/8
Step-by-step explanation:
dont know lol but trust me