Graph the equation.
y= 5(x + 1)^2– 3
HELP!!!

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Answer:

there are two bases and three sides/faces.

Answer: (-5,1)

Step-by-step explanation: that should be right

Answer:

8 1/2

2 19/36

1 9/10

23/42

Answer:

it is roughly 15.3 laps (i rounded 1.6666666666667 to 1.7) i'll explain

Step-by-step explanation:

ratio of laps to minutes: 9:12,

20/12 = 1.6666666666667 rounded to 1.7

9 x 1.7 = 15.3

sorry that i had to round and that it is a little off, hoped i helped you tho

Answer:

7/8

Step-by-step explanation:

3 1/2x1/4 Calculator!!!!!!! srry if it is not the answer.

Answer:

n would be -4

Step-by-step explanation:

(two negatives multiplied together make a positive)

-4n = 16

/-4    /-4

n = -4

may be the answer is :4g-2=8 ^-^

but donot depend in this answer it's not sure okay

Answer:

238 people

Step-by-step explanation:

68% of 350 is 238

Answer:

lol the answer is 49

Step-by-step explanation:

hope this helps <3

Answer:

-12

Step-by-step explanation:

12 - 15 = -3

4 ( -3 )

= -12

Answer: -12

Step-by-step explanation:

We have 4[12 -15]

Next, we have subtract in the parentheses since it's part of PEDMAS

12-15

After that, we get -3. Whenever a you multiply a whole number with a negative number, the whole becomes negative.

12- 15= -3

And Lastly, we multiply.

4x -3= -12

Hope this helps!

Answer:

9) c) 1

10) c) 215

Step-by-step explanation:

Step:1

Given that the expression

      [tex]\frac{31+r}{2} - \frac{9r-5}{4}[/tex]

Put r = 9

 =    [tex]\frac{31+9}{2} - \frac{9(9)-5}{4}[/tex]

 =  [tex]\frac{40}{2} -\frac{76}{4}[/tex]

=   20 - 19

=1

Step(ii):-

Given that

[tex]\frac{5(4r-16)}{5} +13(3r-12)[/tex]

Put r = 9

=  [tex]\frac{5(4(9)-16)}{5} +13(3(9)-12)[/tex]

=  20 + 13(15)

= 215

Answer:

B

Step-by-step explanation:

Cross product.

3xy= 3y

4x6= 24

3y/3

24/3= 8

Answer:

-3f

0

f1

Step-by-step explanation:

(x = -3) f x -3 -3f

(x = 0) f x 0 = 0

x = 1) f x 1) f1

Answer:

1) 160 2) 218.64

Step-by-step explanation:

v=lwh (length)×(width)×(height)÷3

1. 10× 6× 8= 480÷3

2. 10.6× 9.1× 6.8= 655.928 ÷ 3 =218.6426 (218.64)

Answer:

the amount of discount is $210

Step-by-step explanation:

30(.30)

90

90 is 30% of 300

subtract:

300-30= 210

Answer:$210

Step-by-step explanation:

Answer:

divide 12 and 1/2 by 25 and can I get branliest

Step-by-step explanation:

Answer:

it would take him 2 minutes to read one page

He can read half a page in 1 minute

Step-by-step explanation:

Part 1

ratio time/pages

25/12.5=x/1

cross multiply

12.5x=25

x=2

ratio time/pages

25/12.5= 1/x

cross multiply

25x=12.5

x=0.5

Answer:

These are the answers.

Step-by-step explanation:

Answer:

[tex]\text{For topic A }:0.99\\\text{For Topic B}: 0.6875[/tex]

Step-by-step explanation:

Topic A: Two books are ordered

Topic B: Four books are ordered

Let X= number of books arrived

The probability that a book actually arrives in time is 0.9

i.e., p=0.9

For Topic A:

[tex]P(X\geq 1)=P(X=1)+P(X=2)\\\Rightarrow P(X\geq 1)= \;^2C_1 (0.9)^1(0.1)^(2-1)+\;^2C_2 (0.9)^2(0.1)^(2-2)\\\Rightarrow P(X\geq 1)=0.18+0.81\\\Rightarrow P(X\geq 1)=0.99[/tex]

For Topic B:

[tex]P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\Rightarrow P(X\geq 2)=1-[P(X=0)+P(X=1)]\\\Rightarrow P(X\geq 2)=1-[\;^4C_0(0.5)^0(0.5)^4 +\;^4C_0(0.5)^1(0.5)^3]\\\Rightarrow P(X\geq 2)=1-[0.0625+0.25]\\\Rightarrow P(X\geq 2)=0.6875[/tex]

Answer:  

Use continuity to evaluate the limit.

lim 16+radical x/ radical 16+x

1+9

Consider the intervals for which the numerator and the denominator are continuous.

The numerator 16+ radical x is contintuous on the interval

[0,00)

0

The denominator V16 + I is continuous and nonzero on the interval

(16,00)

X

The interval for which the quotient is continuous is the intersection of the above intervals.

16+

Therefore, the quotient

is continuous on the interval

716 +1

[-16,0]

X

Since 2

9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,

19

16 + VE

lim

179 16 +2

f(9)

00

Question Help: Message instructor

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Step-by-step explanation:

Answer:

48

Step-by-step explanation:

4x2=8

4x3=12

12/2=6

Answer:

B

Step-by-step explanation:

B

the vertex is (-5,-2) which eliminates A and C. D says that the x intercepts are both positive which is obviously incorrect making B the correct answer

Answer:

m = 35

Step-by-step explanation:

2m + m -15 = 90

3m -15 = 90

     +15  +15

3m = 105

/3     /3

m = 35

To check the work just insert 35 for m:

2(35) + 35 -15 = 90

70 + 35 -15 = 90

105 - 15 = 90

90 = 90

Answer: False

Step-by-step explanation: The absolute value of -15 is 15.

Answer:

[tex]\frac{12}{4*5}[/tex]

Step-by-step explanation:

the quotient of 12 and the product of 4 and 5 can be written in mathematical form as:

12 / (4 * 5)   or [tex]\frac{12}{4*5}[/tex]

Answer:

Step-by-step explanation:

Answer:

tangent; inverse; 28.6

Step-by-step explanation:

You have given two legs;

You would use the inverse function, you are not given an angle;

g is about 28.61 degrees

Answer:

A

Step-by-step explanation:

PV(1+i)^n

2000(1+.015)^x

2000(1.015)^x

A

Answer:

6

Step-by-step explanation:

8-2 =6 therefore x is 6 if you want to do it a more complicated way be my guest

An appropriate label for the horizontal axis of this bar chart is "Number of goals" and its title should be "The number of goals scored by a team."

A bar chart is also known as bar graph and it can be defined as a type of chart that is used for the graphical representation of data (information), especially by using rectangular bars or vertical columns.

The appropriate label for the horizontal axis of this bar chart is "Number of goals" and its title should be "The number of goals scored by a team."

Read more on bar chart here: https://brainly.com/question/24741444

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