Answers
Answer:
x=6
Step-by-step explanation:
h(x) = -( x-2)^2 +16
We want when h(x) = 0
0 = -( x-2)^2 +16
Subtract 16 from each side
-16 = -( x-2)^2 +16-16
-16 = -( x-2)^2
Divide by -1
16= ( x-2)^2
Take the square root of each side
±sqrt(16) = sqrt(( x-2)^2 )
±4 = x-2
Add 2 to each sdie
2 ±4 = x-2+2
2+4 = x 2-4 =x
6 =x -2 =x
since time cannot be negative
x=6
Related Questions
On a coordinate plane, 5 parallelograms are shown. Parallelogram L M N P has points (3, 1), (4, 1), (4, 3), and (5, 3). Figure D is reflected across the x-axis. Figure B is reflected across the y-axis. Figure C is rotated in the first quadrant. Figure A is rotated in the third quadrant. Which figure represents the image of parallelogram LMNP after a reflection across the line y = x? figure A figure B figure C figure D
Answers
Answer:
Figure C
Step-by-step explanation:
Reflection across the line y = x transforms point (x, y) into (y, x)
(3, 1) -> (1, 3)
(4, 1) -> (1, 4)
(4, 3) -> (3, 4)
(5, 3) -> (3, 5)
After rotation, all points remain in the first quadrant. Figure C is rotated in the first quadrant, then it is the correct option.
Because Figure C is rotated in the first quadrant,its represents the image of parallelogram LMNP after a reflection across the line y = x
What is a Parallelogram?A Parallelogram is simply a four-sided quadrilateral with opposite sides parallel to each other.
What figure identifies the image of parallelogram LMNP?Question Parameter(s):
5 parallelograms are shown
LM N P has points (3, 1), (4, 1), (4, 3), and (5, 3).
Generally, the indivudual tranformation is is mathematically given as
Reflection gives (x, y) into (y, x)
(3, 1) -> (1, 3)
(4, 1) -> (1, 4)
(4, 3) -> (3, 4)
(5, 3) -> (3, 5)
In conclusion, Figure C represents the image
Read more about Wave
https://brainly.com/question/3004869
Gordon, Henry and Sarah share £48 in a ratio 2:3:1. How much money does each person get?
Answers
Answer:
Gordon: 16 pounds
Henry: 24 pounds
Sarah: 8 pounds
Step-by-step explanation:
Number of parts: 3+2+1 = 6
Amount per part: 48/6 = 8
Now Each person gets:
Gordon: 8 x 2 = 16 pounds
Henry: 8 x 3 = 24 pounds
Sarah:8 x 1= 8 pounds
Hope this helps.
Good Luck
Answer:
Gordon $16
Henry$24
Sarah$8
Step-by-step explanation:
You add the ratio 2+3+1= 6
Then you take everyone ratio according to how their names are arranged over 6 then you get the answer
Gordon2/6×48= 16
Henry3/6×48= 24
Sarah1/6×48= 8
Which equation of a line has a slope of −2 and a y-intercept of (0,8)?
Answers
Answer:
y = -2x + 8
Step-by-step explanation:
Rewrite the expression in the form k x z^n.
[tex]10 \sqrt[3]{z} \div {2z}^{2} [/tex]
Answers
Answer: 5z^(-5/3)
Step-by-step explanation:
Given the expression above, rewrite in the form k × z^n
(10 × (z)^1/3) ÷ 2z^2
(10z^1/3) ÷ (2z^2)
10/2(z^(1/3 - 2))
5z^(-5/3)
How many degrees does a quadrilateral have?
Answers
Answer:
A quadrilateral has 360 degrees.
Step-by-step explanation:
the perimeter of a stop sign is 99.2 inches. Each side of the stop sign is equal.
Write and solve an equation to find the measurement of one side of the stop sign n.
Answers
Answer: The equation can be written as 8n = 99.2.
Step-by-step explanation:
In my answer, I used the variable n to distinguish itself as one side of the stop sign. 99.2 is the final perimeter in inches.
A stop sign is an octagonal shape (otherwise, it is made up of 8 equal sides). Therefore, with this information, you can interpret that the length of one side would be equal to the length of all of the other sides.
Hence, the answer can be represented as 8n = 99.2.
10 points
Тур
Ricardo buys at least 8.5 but no more than 11
gallons of gas each week. The price of gas has
ranged from $2.40 to $2.65 per gallon each
week.
Answers
Answer:
Here we have two inequalities.
P is price of the gallon,we have that:
$2.40 ≤ P ≤ $2.65
C is the amount of gallons that Ricardo buys each week.
8,5 ≤ C ≤ 11
Now, with this you can find the maximum and minimum amount that he can spend on a week.
The minimum is when he buys only 8.5 gallons and the price per gallon is $2.40
Cost = 8.5*$2.40 = $20.4
The maximum cost is when he buys 11 gallons, and the price of the gallon is $2.65
Cost = 11*$2.65 = $29.15
So the amount that he spends per week in gas, S, is:
$20.4 ≤ S ≤ $29.15
10. A school is trying to schedule periods of Chemistry and Algebra II.
They find that a total of 386 students are taking either one or both of
the two courses. If 298 students signed up for Algebra II and 328 have
signed up for Chemistry, what would be the probability that a student
chosen at random from the 386 will be signed up for both of the
courses? Round your answer to the nearest whole number percent.
Answers
Answer:
~62%
Step-by-step explanation:
Let n(A) be the number of students signed up for Algebra II.
Given that n(A) = 298
Let n(B) be the number of students signed up for Chemistry.
Given that n(B) = 328
n(A [tex]\cup[/tex] B) will be the number of students who have signed up for either one or both of two subjects.
n(A [tex]\cup[/tex] B) = 386
Formula for n(A [tex]\cup[/tex] B):
n(A [tex]\cup[/tex] B) = n(A) + n(B) - n(A [tex]\cap[/tex] B)
Where n(A [tex]\cap[/tex] B) is the number of students signed up for both the courses.
Putting the values in the formula above:
386 = 298 + 328 - n(A [tex]\cap[/tex] B)
n(A [tex]\cap[/tex] B) = 240
Formula for Probability of an event E:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(A \cap B) = \dfrac{n(A \cup B) }{n(A \cap B)}[/tex]
[tex]\Rightarrow P(A \cap B) = \dfrac{240 }{386}\\\Rightarrow P(A \cap B) = 62.17\%[/tex]
Hence, the required probability is ~62%
The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.
Calculation of the probability:
Since total of 386 students are taking either one or both of the two courses. If 298 students signed up for Algebra II and 328 have signed up for Chemistry
So here the no of students that signed up for both subjects should be
= 298 + 328 - 386
= 240
Now the probability is
[tex]= 240\div 386[/tex]
= 62%
Hence, The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.
Learn more about probability here: https://brainly.com/question/16923992
If C(5,-5) and D(7,3) then what is the length of CD? Round to the nearest tenth
Answers
the right answer is √68 units...
please see attached picture for full solution
hope it helps
good luck on your assignment
Stay safe
1. The length of a rectangle is 10. The perimeter is 28. Find the area of the rectangle.
PLZZ ANSWER!
Answers
Mark me the brainliest
The right answer is 40
please see the attached picture for full solution
Hope it helps
Good luck on your assignment......
An American motor company is releasing a new car model. There will be 2 body styles (2 or 4 door) from which to choose. They also offer 3 interior packages (deluxe, luxury, or special edition) and an option of 2 drive trains (front-wheel or four-wheel drive). If a local dealer wanted one of each possible model on her sales lot, how many cars would she need to order?
Answers
Answer:
She needs to order 12 cars
Step-by-step explanation:
To find the total number of models, we just need to multiply the number of options for each choice:
body style: 2 options
interior package: 3 options
drive train: 2 options
So the number of different models is:
2 * 3 * 2 = 12 different models
So in order to have all the possible models, she needs to order 12 cars.
A baker is decorating the top of a round cake with cherries. The diameter of the cake is 9.5 inches. Each cherry is 0.75 inches in diameter. About how many cherries will the baker need to decorate the circumference of the top of the cake? *
Answers
Answer:
A= 78.5 sq. in
Step-by-step explanation:
Step by step
1: A = pi * r^2
2: A = 3.14 * 25
In words.
1: Times the pi by r^2
2: The answer will come out as 3.14
3: Times the Answer that is 3.14 by 25
Answer: A= 78.5 sq. in
Hope this helps.
Solve for t.
–17t = –9(3t + 17) − 7
t =
Answers
Answer:
t = -16
Step-by-step explanation:
→Distribute the -9 to (3t + 17):
-17t = -9(3t + 17) - 7
-17t = -27t - 153 - 7
→Add like terms:
-17t = -27t - 160
→Add 27t to both sides:
10t = -160
→Divide both sides by 10:
t = -16
Answer:
[tex] \boxed{t = - 16} [/tex]
Step-by-step explanation:
[tex] = > - 17t = - 9(3t + 17) - 7 \\ \\ = > - 17t = - (9 \times 3t) - (9 \times 17) - 7 \\ \\ = > - 17t = - 27t - 153 - 7 \\ \\ = > - 17t = - 27t - 160 \\ \\ = > - 17t + 27t = - 160 \\ \\ = > 10t = - 160 \\ \\ = > t = - \frac{160}{10} \\ \\ = > t = - 16[/tex]
You roll a fair 6-sided die what is the probability of rolling a number grader than 4?
Answers
Answer:
2/6 or 1/3
Step-by-step explanation:
5, and 6 is greater than 4 if the total is 6 then its 2/6 since there are only two numbers that are greater than 4
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
There are 2 numbers on the dice greater than 4. 5 and 6.
[tex]\frac{6-4}{6}[/tex]
[tex]\frac{2}{6}[/tex] [tex]= 1/3[/tex]
Sidney is eating lunch at a salad bar where you
create your own salad. An 8-ounce salad costs
$2.49. Each additional ounce of salad costs
$0.25. How much does Sidney’s salad cost if it
weighs 1 pound, 8 ounces?
Answers
Answer:
$7.47
Step-by-step explanation:
Since a 8-ounce salad cost 2.49
You do 2.49+1 pound times 0.25
1 pound equals to 16 ounces
2.49 + 2.49 + 2.49
Correct. If I am wrong
Answer:
Step-by-step explanation:
the base is 2.49 for eight ozs so you already take off the ozs from 1 pound
since there are 16 ounces in one pound you multiply 16 by .25 and get 4 so you add 2.49 and 4 to get 6.49$ is the answer assuming there is no tax on the food
Solve using distributive property. (3x2-2x+7)(x2+2x) Thank you!
Answers
Answer:
[tex]3x^4+4x^3+3x^2+14x[/tex]
Step-by-step explanation:
[tex](3x^2-2x+7)(x^2+2x)[/tex]
[tex]3x^4+6x^3-2x^3-4x^2+7x^2+14x[/tex]
[tex]=3x^4+4x^3+3x^2+14x[/tex]
Answer:
3x^4+4x^3-3x^2+14x
Step-by-step explanation:
(3x^2-2x+7)(x^2+2x)
= 3x^2(x^2+2x)-2x(x^2+2x)+7(x^2+2x)
= 3x^4+4x^3-3x^2+14x
Use the discriminant to determine the number of real solutions of the equation.
x^2 = -6x - 10
Answers
Answer:
No real solutions.
Step-by-step explanation:
x² + 6x + 10 = 0
a = 1
b = 6
c = 10
D = b² - 4ac = 6² - 4*1*10 = 36 - 40 = - 4
- 4 < 0,
so this equation has no real solutions.
Irina wants to tile her floor using the translation shown
below. Which is the rule for this translation?
6
O T-3, 2(x, y)
O T2, -3(x, y)
O T3, 2(x, y)
OT-2,3(x, y)
B
5 6
X
-6
D
IB
B
C
Answers
The translation rule of the tile floor is T -3,2 (x,y)
How to determine the translation rule?From the complete question, the tile floor is shifted left by 3 units, and shifted up by 2 units.
This is represented as:
(x,y) -> (x - 3, y + 2)
This can also be written as:
T -3,2 (x,y)
Hence, the translation rule is T -3,2 (x,y)
Read more about translation at:
https://brainly.com/question/4289712
Answer:
A: T-3, 2(x, y)
Step-by-step explanation:
Assignment
Active
Relating a Real-World Situation to a Table
Which table represents the relationship "A 747 jumbo jet has a cruising speed of 550 miles per hour"?
Hours
(h)
Miles
(m)
Hours
(h)
Miles
(m)
Hours
(h)
Miles
(m)
550
1
1
551
1
550
2
552
1,100
2
1.100
2.
1,650
3
3
3
553
1.650
Answers
Answer:
C.
Step-by-step explanation:edge2020
Answer:
i said c yea it is
Step-by-step explanation:
Circle O is shown. Line segments C O And A O are radii. Lines are drawn from points C and A to point B to form chords B C and B A. Angle C B A is 80 degrees. What is the measure of angle COA? 140° 150° 160° 170°
Answers
Answer:
Its 160 on ED
Step-by-step explanation:
Based on the angle-arc relationship, the measure of angle COA is: C. 160°.
What is the Angle-Arc Relationship?The angle-arc relationship relates the measure of an inscribed angle to its central angle, such that the central angle is twice the measure of the intercepted arc.
Given:
m∠CBA = 80° (intercepted arc)m∠COA = ?° (central angle)Therefore:
m∠COA = 2(m∠CBA)
Substitute
m∠COA = 2(80°)
m∠COA = 160°
Therefore, based on the angle-arc relationship, the measure of angle COA is: C. 160°.
Learn more about angle-arc relationship on:
https://brainly.com/question/25889947
Help to answer 2 & 3 Pablo and Jasmine had just started studying systems of linear equations in algebra. They looked at Pedro's drawing and said, "We could write that as a system of equations." Let t be the price of each taco and d be the price of each drink. - Write an equation that represents the cost of Pablo's order. (6T + 2D = 9) - Write an equation that represents the cost of Jasmine's order. (4T + 2D = 7) 2. What operations with the equations from part (1) match your way of using Pedro's sketch to find the prices t and d? 3. Why do the operations make sense?
Answers
Answer:
Step-by-step explanation:
The equation for Pablo's order is given as 6T+2D=9 or 6T+2D-9=0
While the equation for Jasmine's order is given as 4T+2D=7 or 4T+2D-7=0
Subtracting Jasmine's equation from Pablo's
6T+2D-9-(4T+2D-7)=0
This gives us
6T+2D-9-4T-2D+7=0
The reduces to
2T-2=0
Dividing all through by 2 gives
T-1=0
Therefore
T=1
Substituting the value for T into any of the equations of either Pablo and Jasmine
Using Pablo's
6T+2D=9
6(1)+2D=9
2D=9-6
2D=3
There D= 3/2
What is the range of the given function?
A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 1, 4, 6. The second column is labeled y with entries 9, 0, negative 7, negative 1.
Answers
Answer:
Step-by-step explanation:
x= -5,1,4,6 y=9,0,-7,-1
the range of a given function equals to the value of y in order
range = -7,-1,0,9
usain bolt ran the 2012 olympic 100-meter race in 9.63 seconds. if he runs at this rate on a road wait a speed limit of 25 miles per hour, how will his speed compare to the speed limit? justify your answer.(25 mi/hr=40,234 meter/hr)
Answers
Answer:
Usain Bolt runs about 37,383 meters an hour so he will not exceed the speed limit but will run at about 23 miles per hour.
Step-by-step explanation:
Usain Bolt runs about 37,383 meters an hour so he will not exceed the speed limit but will run at about 23 miles per hour. We get this from 3600 seconds in an hour, 3600÷9.63×100≈37383 meters an hour. 1609.344 meters in a mile. 37383÷1609.344≈23 mph
Answer:Sample Response: The speed limit is about 11.2 meters per second. Usain is running 10.38 meters per second. So he is running slower than the speed limit.
Step-by-step explanation:Need brainliest award
Math question please help me this is hard
Answers
Answer:
i think its 4
Step-by-step explanation:
if u have two fingers and add two more u get 4
Simplify the expression: (12a−1b6c−3) / (4 a5b−1c5) NEED ANSWER IMMEDIATELY PLEASE
Answers
Answer:
Step-by-step explanation:
[tex]\frac{(12a - 6bc - 3)}{20ab-5c)} \\\\\frac{3 . (4a - 2bc - 1)}{5 . (4ab - c)}\\\\[/tex]
i dont understand and i would like some help understanding this -4(y-6) ≤ (-9+y)(-2)
Answers
Answer:
Y greater than or equal to 6
Step-by-step explanation:
I can't do the sign so I just said it
Combine like terms
Answer:
Y Greater Than Or Equal To Number 6
Hopes This Helps
please help and i will give you brainliest answer
Answers
C= 2 x 3.142 x 7
=43.988cm
Time it with 7 because the radius is 7, because the diameter is twice the radius
Answer:
C=43.988cm
Step-by-step explanation:
r=d/2=14cm/2=7cm
C=2πr
C=2×3.142×7cm
C=6.284×7cm
C=43.988cm
look at the picture below please
Answers
Answer:
1.73205080757 4.58257569496 7.8740078740127^x=1/9 find the value of x with steps
Answers
Answer:
x = -2/3
Step-by-step explanation:
27^x=1/9
writing 27 as 3^3 and 1/9 as 3 ^-2
3^3^x = 3^-2
We know that a^b^c =a^(b*c)
3^(3x) = 3^-2
Since the bases are the same the exponents need to be the same
3x = -2
x = -2/3
Which polygon is a hexagon? A 5-sided figure. A 6-sided figure. An 8-sided figure. A 7-sided figure.
Answers
Answer:
6-Sided Figure.
Step-by-step explanation:
A 6 - sided figure is called a Hexagon.
What is Line segment?
A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.
Given that;
The polygon is a Hexagon.
Now,
Since, A hexagon is made up with 6 - sided.
And, A polygon is called a Hexagon when it has 6 sides, 6 angles and 6 vertices.
Thus, A 6 - sided figure is called a Hexagon.
Learn more about the hexagon visit:
https://brainly.com/question/15424654
#SPJ2
