Mathematics High School

Determine the maximum or minimum value of the following quadratic function. LaTeX: f\left(x\right)=-3\left(x+5\right)^2-1f ( x ) = − 3 ( x + 5 ) 2 − 1

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)[/tex]

Related Questions

Benito received a $100 gift card to his favorite coffee shop for his birthday every week he goes to the coffee shop and spends $5 on a drink.

A. Write an equation to represent the relationship between the amount of m money remaining on Benito’s gift card and the number of w weeks.

B. How many weeks will it be when Benito has only $15 remaining on his gift card?

Answers

$100- $5w= M

17 weeks is when he'll have 15

Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds per week. Write an equation for total pounds, y, of aluminum cans after x weeks. How many pounds of cans will Rufus have after 6 weeks?


Answers

y= 100+25x After 6 weeks Rufus will have 250 pounds of cans.

Solve by graphing

|1x - 1| = |2x - 5|

Answers

Answer:

x=4 or x=2

Step-by-step explanation:

Hey help a tom outtttttttttttttttttttttt

Answers

Answer: 3X2+4x=-2

Step-by-step explanation:because thats the mathematic equation for a average square

help me please I need help​

Answers

r=17/3 alternative form would be r= 5 2/3, r=5.6 those would all be the answers depending on what form you need
They are right ;) ..

Caroline delivers flowers and earns $1.25 for each rose and $0.75 for each daisy. What is her total pay for a week in which she sold 288 roses and 432 daisies?

Answers

Answer:

She will be paid $684

Question 5 of 5
What is the slope of the line through (0, 4) and (3, -2)?
10.4
O A.-2
c
B. 2
O c.

Answers

Answer:

M = -2

Step-by-step explanation:

Your answer is -2

-4(5k - 7) + 2k = -2(9k + 5)

Answers

1. -20k+28+2k=-18k-10
2. -18k+28=-18k-10
3. 28=-10
No solution
-20k+28+2k=-18k-10
-18k+28=-18k-10
28=-10
No solution

please help me complete this
https://easel.teacherspayteachers.com/activities/student/18109307

Answers

Answer:

can't see the question love

need the questions queen sorry

Find the approximate perimeter of AABC plotted
below.
A(2,7)
C(6,7)
B(-4,-3)

Answers

Answer:

29.8 units

Step-by-step explanation:

Answer:

29.8

Step-by-step explanation:

A weather station on the top of a mountain reports that the temperature is currently 0 and has been falling at a constant rate of 3 degrees per hour. Find each temperature. What was the temperature: 1 hour ago? degrees 3 hours ago? degrees

Answers

Answer:

Because I SAVAGE

GK IT"S WRONG AHAHHAHHAHA

what is the answer to this question?​

Answers

Answer:

your answer will be option B

you are right

Step-by-step explanation:

have a nice day!!

BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!

Answers

shouldn’t it be the figures are similar? theyre the same size, along with the same measure of angles.

Step-by-step explanation:

Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.

Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.this is became ABCD is reflected over the y-axis so it is simular too A'B'C'D.

A is incorrect because the size of the shape doesn't change when getting reflected.

B and D is incorrect because just by looking at the shape D is not equal to A' or B'

Hope this helps!!

solve this equation -3/4x + 6 > -3=

Answers

Answer:

[tex]x\leq 0 or x \geq \frac{1}{12}[/tex]

HELP ME PLASE IM BEGGING YOU

Answers

Answer:

5x+4

Step-by-step explanation:

(7x+1)-(2x-3)

Remove parentheses

=7x+1-(2x-3)

=7x+1-2x+3

Simplify

7x+1-2x+3=5x+4

a square has a side length of (x-7) a what is the area?

Answers

Answer:

4x+28

Step-by-step explanation:

1. Look at the following correlation scatter plot. What type of a correlation is it?
a. Negative correlation
b. Positive correlation
c. Zero correlation
d. All of the above

Answers

Scatter plot is missing, so i have attached it.

Answer:

C : zero correlation

Step-by-step explanation:

A correlation is said to be negative between two variables when they are related in such a manner that when one variable increases, the other variable decreases and vice versa.

However, a correlation is said to be Positive when one variable increases as the other increases as well and vice versa which means they both move in the same direction.

However, in the image of the scatter plot attached, we see that it is neither positive or negative correlation as there is no clear visible relationship between the variables on the x and y axis.

Thus, we can say there is zero correlation.

convert 5000 mm = ____ cm​

Answers

Answer:

it's 500 cm

HOPE THIS HELPS

Step-by-step explanation:

Answer:

500 cm

Step-by-step explanation:

i did the math

GEOMETRY. Need help i will give brainliest

Answers

Answer:

x = 10

Step-by-step explanation:

If two tangent segments are drawn to a circle from an external point, then those segments are congruent.

x+11 = 2x+ 1

x = 10

Answer:

x=10

Step-by-step explanation:

x+11=2x+1

x+10=2x

10=2x-x

x=10

Brillianst!!!!!

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Just multiply

Step-by-step explanation:

What is the perimeter of the parallelogram? 12 cm 6 cm 5 cm 7 cm

Answers

We dont know this
You need to have only 2
For ex: 4 cm and 7 cm
So, P=2• (a•b)
2•(4•7)
P=56cm

Answer:

12

Step-by-step explanation:

Subtract: (b^2 + 9 ab + 5a ) - ( 3b^2 -25ab + 1)

Answers

Answer:

- 2b^2 + 34ab + 5a - 1

Step-by-step explanation:

here's your solution

=> (b^2 + 9ab + 5a) - (3b^2 - 25ab + 1)

=> b^2 + 9ab + 5a - 3b^2 + 25ab - 1

=> - 2b^2 + 34ab + 5a - 1

hope it helps

A package of 4 pair of insulated socks cost $32.76. What is the unit price of the pair of socks

Answers

8.19$ sorry if I got it wrong

Answer:

The answer is 8.19, You have to divide 32.76 by 4(Ps. Sorry I'm not good at explaining)

Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?

Answers

Answer: 2/5 feet

Step-by-step explanation:

From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.

The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:

= 8/10 ÷ 2

= 8/10 × 1/2

= 8/20

= 2/5

Therefore, each person gets 2/5 feet of rope.

stats. can someone help?

Answers

Answer:

you should try picto math it very helpful!

Step-by-step explanation:

Neal buys a board game. He pays for the board game and pays $1.54 in sales tax. The sales tax rate is 5.5%.What is the original price of the board game, before tax?

Answers

Answer:

28

Step-by-step explanation:

1.54 divided by 0.055 = 28

Charlie drove 360 miles in 5 hours.
At the same rate, how many miles would he drive in 8 hours?

Answers

Step-by-step explanation:

5 360

8 x

5x=360•8

x=576miles

A scientist is growing bacteria. The number of bacteria cells doubles every week. The scientist begins with 30 cells. Write an expression to find the number of cells after x weeks .

Answers

Answer:

2x+30

Step-by-step explanation:

PLEASE ANWSER FOR ME FAST SHOW WORK PLS!!!

Answers

Answer:

The answer is A

Step-by-step explanation:

Start at 12 and add 6 every year:

12 + 6 = 18

18 + 6 = 24

24 + 6 = 30

30 + 6 = 36

-6n-2n=16


This isn't urgent

Answers

I’m pretty sure n = -2

Answer:

n = -2

Step-by-step explanation:

[tex] - 6n - 2n = 16[/tex]

➡️ [tex]( - 6 - 2)n = - 8n[/tex]

➡️ [tex] - 8n \div ( - 8) = 16 \div ( - 8)[/tex]

➡️ [tex]n = 16 \div ( - 8)[/tex]

➡️ [tex]n = - 16 \div 8[/tex]

➡️ [tex]n = - 2[/tex]

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