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kenny6666 [7]
2 years ago
15

What is the maximum or minimum value? f(x) = -(x - 8) ^ 2 - 25

Mathematics
1 answer:
Rina8888 [55]2 years ago
8 0

Answer:

You have a maximum when the parabola opens down (-x^2), and a minimum when it opens up (+x^2). In your case, it opens down because of the -. That is the special notation, the vertex of the parabola is already there.

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Keith wants to save money to purchase a car. He buys an annuity with quarterly payments that earn 2.8% interest, compounded quar
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can you help me I'm doing a exam that ends in 7 min

Who must vote in favor of a bill that proposes statehood for a territory?

A.  House of Representatives only

B.  Senate only

C.  House of Representatives and Senate

D.  President of the United States

plssssssss help :(

8 0
3 years ago
Solve for x: 6x-4 over 3+2x=5/6
viktelen [127]

Domain:\\\\3+2x\neq0\to x\neq-1.5\\\\\dfrac{6x-4}{3+2x}=\dfrac{5}{6}\qquad\text{cross multiply}\\\\6(6x-4)=5(3+2x)\qquad\text{use distributive property}\\\\(6)(6x)+(6)(-4)=(5)(3)+(5)(2x)\\\\36x-24=15+10x\qquad\text{add 24 to both sides}\\\\36x=39+10x\qquad\text{subtract 10x from both sides}\\\\26x=39\qquad\text{divide both sides by 26}\\\\x=\dfrac{39}{26}\\\\x=\dfrac{39:13}{26:13}\\\\\boxed{x=\dfrac{3}{2}}\in D

5 0
3 years ago
Researchers recorded that a certain bacteria population declined from 800,000 to 500,000 in 6 hours after the administration of
kupik [55]

Answer:

We can assume that the decline in the population is an exponential decay.

An exponential decay can be written as:

P(t) = A*b^t

Where A is the initial population, b is the base and t is the variable, in this case, number of hours.

We know that: A = 800,000.

P(t) = 800,000*b^t

And we know that after 6 hours, the popuation was 500,000:

p(6h) = 500,000 = 800,000*b^6

then we have that:

b^6 = 500,000/800,000 = 5/8

b = (5/8)^(1/6) = 0.925

Then our equation is:

P(t) = 800,000*0.925^t

Now, the population after 24 hours will be:

P(24) = 800,000*0.925^24 = 123,166

5 0
3 years ago
Which pair of words describes this system of equations 3y=9x-6 2y+6x=4
pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

3y = 9x - 6

2y + 6x = 4

Required

The words that describe the equations

Make y the subject in (2)

2y + 6x = 4

Collect like terms

2y = 4 - 6x

Divide through by 2

y = 2 - 3x

Substitute: y = 2 - 3x in (1)

3y = 9x - 6

3(2 - 3x) = 9x - 6

6 - 9x = 9x - 6

Collect like terms

9x+9x = 6+6

18x = 12

Solve for x

x = \frac{12}{18}

Simplify

x = \frac{2}{3}

Substitute x = \frac{2}{3} in y = 2 - 3x

y = 2 - 3*\frac{2}{3}

y = 2 - 2

y =0

So, we have:

x = \frac{2}{3} and y =0

<em>The system is consistent because it has at least 1 solution</em>

<em>The system is dependent because it has more than 1 solution</em>

6 0
3 years ago
Add.<br> 3 7/11 + 9 6/11<br> Write your answer as a mixed number in simplest form.<br><br> Help
Vilka [71]

Answer:

13 2/11

Step-by-step explanation:

40/11+105/11

145/11

13 2/11

7 0
2 years ago
Read 2 more answers
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