Mathematics College

NEED AN ANSWER RIGHT NOW I HAVE ALMOST NO TIME PLEASE
The zeros of a quadratic relationship are 3 and 7. The optimal value is -3. Is the optimal value a maximum or minimum? Explain.
TYSM IF SOMEONE HELPS

Answers

Answer 1

Answer:

Minimum

Step-by-step explanation:

The zeros of a quadratic equation are the points at which the parabola intersects the x-axis.

[tex]\sf x=3 \implies x-3=0[/tex]

[tex]\sf x=7 \implies x-7=0[/tex]

[tex]\sf \implies y=a(x-3)(x-7)[/tex]   (for some constant a)

[tex]\sf \implies y=ax^2-10ax+21a[/tex]

The optimal value is the y-coordinate of the vertex.  

[tex]\sf \implies vertex=(x,-3)[/tex]

The x-coordinate of the vertex is the midpoint of the zeros:

[tex]\sf x=\dfrac{7-3}{2}+3=5[/tex]

[tex]\sf \implies vertex=(5,-3)[/tex]

Therefore, the vertex will be in Quadrant IV and so the parabola opens upwards into Quadrant I.  

So the optimal value is a MINIMUM since the vertex is the minimum point of the curve.

Additional Information to create the equation of the quadratic

Vertex form of quadratic equation:  [tex]\sf y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

[tex]\sf \implies y=a(x-5)^2-3[/tex]

[tex]\sf \implies y=ax^2-10ax+25a-3[/tex]

To find the value of a, compare the constants of both equations:

[tex]\sf 21a=25a-3[/tex]

[tex]\sf \implies -4a=-3[/tex]

[tex]\sf \implies a=\dfrac34[/tex]

So the final equation is:

[tex]\sf factor \ form \implies y=\dfrac34(x-3)(x-7)[/tex]

[tex]\sf standard \ form\implies y=\dfrac34x^2-\dfrac{15}{2}x+\dfrac{63}{4}[/tex]

[tex]\sf vertex \ form \implies y=\dfrac34(x-5)^2-3[/tex]

NEED AN ANSWER RIGHT NOW I HAVE ALMOST NO TIME PLEASEThe Zeros Of A Quadratic Relationship Are 3 And

Related Questions

HELPP!!
For which value of h will the equation below
result in an infinite number of solutions?
(3x - 8)h = -27x + 72

Answers

Answer:

h = -9

Step-by-step explanation:

Try to make the left hand side and the right hand side equal. By dividing like

h = (-27x+72)/(3x-8)

= [-9(3x-8)]/(3x-8)

= -9

When both sides are equal, you can't find the value of x as there are infinitely many solutions of x.

Help pls! I rlly need this

Answers

Answer:

799.04

Step-by-step explanation:

First take the area of the rectangle, which would be 50 × 20 = 1000.

Then find the area of the circle. The area of a circle is [tex]\pi r^{2}[/tex].  Since the question says to use 3.14 for pi, your area would be 3.14 × 8².

8² equals 8 × 8 which is 64 and 3.14 times 64 is 200.96.

Since the circle is not part of the shaded area, you subtract the area of the rectangle by the area of the circle. 1000 - 200.96 is 799.04

Find the area of the figure.
(Sides meet at right angles.)

Answers

Answer:

16

Step-by-step explanation:

A of rectangle = L x W

= 3 x 4

= 12

A of square = L x W

= 2 x 2

= 4

The result is 16 squared

1.74 multiplied by what equals 5.22

Answers

The answer is 3.
1.74 × 3 = 5.22

Please help i am begging

Answers

x is equal to 3 ..

Step-by-step explanation:

hope this helps

A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At
this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be
exchanged for 2 small action figures. The boy wants 4 times as many small action figures as
large action figures. Based on this information, can the boy get 80 small action figures?

Answers

Answer:

yes the boy can get 80 small action figures

Answer:

Yes

Step-by-step explanation:

Given

380 tickets in possession5 tickets → large action fig.7 tickets → 2 small action fig.Boy wants 4 times small action fig. as large action fig.

Solving

We need to find if he can get 80 small fig.S = 805L + 7(2S) = 3805L + 280 = 3805L = 100L = 20Now, our condition was that : [number of small fig. = 4 x number of large fig.]80 (small) = 4 x 20 (large) [∴ verified]⇒ He can get 80 small action figures

how many 10 Kobo stamps can I buy with 40 naira​

Answers

Answer:

What is a kobo stemp

Step-by-step explanation:

Help Asap

One tube of paint covers 1,400 square inches of ramp. Based on this, how many tubes of paint will be needed to paint the ramp

My answer from the answer above is 3,672 sq in.​

Answers

Answer:

  3

Step-by-step explanation:

The number of tubes can be found from an inequality that relates the number of square inches that can be painted to the number of square inches that must be painted.

Let t represent the number of tubes.

  1400t ≥ 3672 . . . . . the number of tubes that will paint at least 3672 in²

  t > 2.623 . . . . . divide by 1400

If only whole numbers of tubes are available, then ...

  3 tubes are needed to paint the ramp.

Answer:

Step-by-step explanation:

 The number of tubes can be found from an inequality that relates the number of square inches that can be painted to the number of square inches that must be painted.

Let t represent the number of tubes.

 1400t ≥ 3672 . . . . . the number of tubes that will paint at least 3672 in²

 t > 2.623 . . . . . divide by 1400

If only whole numbers of tubes a

If y - 18 = 14, what is the value of 3(y + 5)?

Answers

Answer:

y-18=14

add 18 on both sides

y=32

plug that into the equation below

3(Y+5)

3(32+5)

add 32 and 5

3(37)

multiply

3

....

3 x 37 = 111

how many right angles in this shape the shape is a trapezoid

Answers

Answer:

Two

Step-by-step explanation:

Since two of the angles are 90 degrees, they are right angles.

Answer: There are 2 right anges in a trapizoid

Step-by-step explanation:

1 is on the bottom lieft side 2nd one is on the other is on the bottom right side

A multiple-choice test has five possible answers for each question. If a student guesses at the answer, what is the probability that he or she selects the correct answer for one particular question?

Answers

Answer:

20% chance of getting the right answer

Step-by-step explanation:

he has a 1/5 chance, translated into 20 percent

18. Use the quadratic formula to solve 4x2-3x - 1 = 0.
O {-1,1}
O {1,1}
O {-1,-1}
O {-1}

Answers

Answer:

using quadratic formula check the attachment

Sam paid a total of $750 for 10 tickets to a football game. The money is taken from his bank account.

Which expression represents the dollar amount that was taken from Sam's bank account.

Answers

Answer:$740

Step-by-step explanation: subtract 750 - 10 and there’s your answer look where it says “The money is taken from his bank account” that’s how you know you should subtract by the word take. Hope this helps

Need help with this question ! Due soon*

Answers

Answer:

x = 10, AB = 57

Step-by-step explanation:

In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. From this, we have:

[tex] \frac{1}{2} (5x + 7 + 8x - 11) = 63[/tex]

[tex]13x - 4 = 126[/tex]

[tex]13x = 130[/tex]

[tex]x = 10[/tex]

[tex]5(10) + 7 = 50 + 7 = 57[/tex]

help me find Find AB

Answers

25.9
The reason is b/c there is a pattern. 1st is since 11.5+7.2=18.7 than you would add 7.2 to 18.7 than you would get 25.9. Also another way is subtracting 18.7-11.5=7.2.

Ps: Jisoo is my bias wby???
Blackpink in your area

The distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

We have,

The length along a line or line segment between two points on the line or line segment.

The coordinates of A are (-18, -18)

coordinates of B are (20, 0)

coordinates of C are (-12, 16)

The formula for distance is Distance=√(x₂-x₁)²+(y₂-y₁)²

Distance AB=√(20-(-18))²+(0-18)²

=√(20+18))²+(0-18)²=√38²+18²

AB=√1444+324

    =√1768

    =42.04 units

Distance BC=√(-12-20)²+(16)²

=√(-32)²+(16)²=√1024+256

=√1280

=35.77

Distance CA=√(-12-(-18))²+(16+18)²

=√(6)²+(34)²

=√36+1156=34.5

Hence, the distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

To learn more on Distance click:

brainly.com/question/15172156

#SPJ2

complete question:

PLease help me find the distance between AB BC and CA please help

I will give Brainliest! :<

This meal costs $75.00.

Fatima used a 20% off coupon and then tax was added.

The total after the coupon and tax was $75.00.


What was the tax rate?

Submit and EXPLAIN, please!

Answers

Answer:

25 %

Step-by-step explanation:

75 - 20% = 60

60 + 60 (x) = 75      where x = tax rate  

   x = .25   or 25 %

The answer is 25%
Ik this cause I took the test

Find the 18th term in the arithmetic sequence.
2, 8, 14, 20, 26, ...
87
110
104
102

Answers

I’m pretty sure it is 2

Answer:

104

Step-by-step explanation:

1st term + or - common difference (term -1)

common difference is +6

2 + 6 (18-1)

2 + 6 (17)

2 + 102

104

In a discount basis loan, interest is "pald" at the time the loan is made by deducting the Interest amount from the loan
amount.
“True
False”

Answers

Answer:

true

hope that helps

Step-by-step explanation:

pls help fast!!! will give brainliest!!!!!!

Answers

Answer:

A. About 47.5π

B. About 149.1

16. Lena always keeps her bank account
balance above $50, If she spent $11.60 on
lunch, what was her balance before buying
lunch?
PLEASE HELP

Answers

Step-by-step explanation:

so you add the $50 to $11.60 to get your answer

the answer is 38.4 because you have to subtract 50 and 11.60 and you get 38.4

Tammy took a total of 14 quizzes over the course of 7 weeks. ​ ​How many weeks of school will Tammy have to attend this quarter before she will have taken a total of 18 quizzes? ​ ​Solve using unit rates. ​Answer: weeks.

Answers

Answer:

9 weeks

Step-by-step explanation:

So he basically took 14 quizzes in 7 weeks.

14/7 = 2/quizzes per week

18/2 = 9 weeks

I don't know what you mean by unit rates but this is what I got.

What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2

Answers

Step-by-step explanation:

the typical line equation :

y = ax + b

with "a" being the slope, and b being the y-intercept (the y value when x = 0).

so, the equation starts

y = 1/2 x + b

to get b we use the given point coordinates :

1 = 1/2 × 4 + b = 2 + b

-1 = b

and the whole equation is

y = 1/2 x - 1

(b) The greatest four-digit number made with the digits 1, 0, 9, 2 is divided by the smallest three-digit number made with 1, 9, 2. Find the quotient and the remainder.​

Answers

Answer:

Quotient = 70

Remainder = 50

Step-by-step explanation:

The greatest number you can make is 9210, the smallest 3-digit number is = 129.

9210 / 129 = 71 with 50 left

so:

70 is the quotient and 50 is the remainder

Having a hard figuring this one out

Answers

It’s the last one: 3xy^2sqrt[y]

20 POINTS PLS
How to tell if your data has a wide range or a small range?

Answers

Range is the amount difference from the minimum and the maximum amount of data . So which ever set has a bigger number had a wider range
Data set with the largest maximum value and smallest minimum value

Help picture below problem 13

Answers

?=9
C^2-a2=b2
15^2-12^2=9^2
The missing side = 9

(a) Write down the angle between the vector i + j and the vector i- j.
(6) Calculate the angle between the vector 2i + 5j and the vector 4i.
(2)
(c) Two forces, A = (14i +2j) N and B = (2i - 6j) N, act on a ball.
Show that the magnitude of A is Root k times larger than the magnitude of B, where k is
an integer
(3)

Answers

(a) Let θ be the angle between i + j and i - j. Then
(i + j) • (i - j) = ||i + j|| ||i -j|| cos(θ)
We also recall that for any vector x,
||x||² = x • x
We have
(i + j) • (i - j) = (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= ||i||² + (i • j) - (i • j) - ||j||²
= 1 + 0 - 1
= 0
and
||i + j|| = √(1² + 1²) = √2
||i - j|| = √(1² + (-1)²) = √2
So,
0 = 2 cos(θ)
cos(θ) = 0
θ = arccos(0) = 180°

(b) By the same process, we find
(2i + 5j) • 4i = 8
||2i + 5j|| = √(2² + 5²) = √29
||4i|| = 4
Then if θ is the angle between 2i + 5j and 4i, we have
8 = 4√29 cos(θ)
cos(θ) = 2/√29
θ = arccos(2/√29) ≈ 68.1986°

(c) Compute the magnitudes:
||A|| = √(14² + 2²) = √200 = 10√2
||B|| = √(2² + (-6)²) = √40 = 2√10
Now we can write
||B|| = 2√10 = 2 √(5 × 2) = 2√5 × √2 = 1/√5 × 10 √2 = 1/√5 ||A||
or
||A|| = √5 ||B||
so that k = 5.

How many symmetrical sides does a star have?​

Answers

Answer:

Depends on how many points the star has. For example, a 5 pointed star will have 5 lines of symmetry. Knowing this, you should be able to count using a diagram or drawing of the star

A copy machine prints 10 copies per minute.
At what rate, in copies per minute, does the copy machine print?
Enter your answer in the space provided.

Answers

The rate in copies per minute the copy machine print is 10 copies per minutes.

What is rate?

Rate is the ratio between two related quantities in different units.

In other word rate is a quotient of two measurements with different units.

In our case we were asked to find the rate at which the machine prints per minutes.

The two related quantities are amount printed and the time in minutes.

Since, the copy machine prints 10 copies in one minutes, the rate at which the copy machine print per minute is 10 copies per minutes.

learn more on rate here: https://brainly.com/question/14199541

A quadratic equation is shown below. x^2 – 16x + 50 = 0 Which of the following is an equivalent form of the above equation? (x - 1612 114 (x - 5)2 = 14 (x - 82 = 114 o O (r = 16)2 = 14​

Answers

Answer:

Step-by-step explanation:

( a ± b )² = a² ± 2ab + b²

~~~~~~~~~

x² - 16x + 50 = 0

( x² - 2(x)(8) + 64 ) - 64 + 50 = 0

( x - 8 )² - 14 = 0

( x - 8 )² = 14

Answer:

(x-8)^2=14

:)

Step-by-step explanation:

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