A frog leaps off of a ledge and lands on the ground below. The function
f(x) = -1.6x2 + 2.3x + 3.2 represents the frog's path.
a. How high is the ledge where the frog starts?
b. How high is the frog at its highest point?
c. What is the frog's horizontal distance from the ledge when it
reaches its highest point?

Answers

Answer 1

Answer:

-1.6x2 + 2.3x + 3.2 = f(x) to solve this you do -1.6 x 2 = -3.2 + 2.3x = -0.9 + 3.2 = 2.3

Step-by-step explanation:

For A the height of ledge is 3.2

for b - the frogs highest point 2.30x

and c is 12.3x


Related Questions

Solutions 5x + 10 = 5x

Answers

Answer:

I think there is no solution to the equation. (I'm not sure what your asking)

Step-by-step explanation

The equation should equal 0, so you subtract 5x from both sides. Once you do that, it cancels out the 5x and leaves 10=0 which is a false statement.

If there was only one government class, and Wes and Maureen were in that class of 38 students, what would be the probability that both Wes and Maureen would be selected as the two students to go to Washington? Is this still an example of independent events

Answers

2/14and no it is not but 2 divided by 38 = 2

The probability of an event is 1/19. Therefore, the given situation is not an independent event.

Given that, Wes and Maureen were in the government class of 38 students.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Total number of outcomes =38

Number of favourable outcomes = 2

So, probability =2/38

= 1/19

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event.

The probability of an event is 1/19. Therefore, the given situation is not an independent event.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

If the interior angle of a convex polygon is 135 , the exterior angle is?​

Answers

Answer:

45

Step-by-step explanation:

To find the exterior angle, you subtract the interior angle, which, in this case, is 135, by 180

So, 180-135=45 degrees

Write the prime factorization of 138

Answers

Answer:

138 ÷ 2 = 69

69 ÷ 2 = 34.5

69 ÷ 3 = 23

23 ÷ 3 = 7.67

23 ÷ 5 = 4.6

23 ÷ 7 = 3.2857

23 ÷ 11 = 2.0909

-----------------------

23 ÷ 23 = 1

The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression
to represent the width of the rectangle.

Answers

Answer:

area(rectangle) = Length * width

8w + 18 = 2 * w

8w + 18 = 2w

Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?​

Answers

Answer:

Yes, he can buy it for $350 or less

Step-by-step explanation:

330.00 x 4.5%

330.00 x 0.045 = 14.85

330.00 + 14.85 = 344.85

or

330.00 x 1.045  = 344.85

A store pays $147 for a skateboard. If the store marks it up 75%, then marks it down 22%. What is the new cost​

Answers

Answer:

$200.65

Step-by-step explanation:

If they bought it for 147 then marked it up 75% you would do

$147+75%  = 257.25

THEN they mark down

257.25 - 22% = $200.255 which would be

$200.25 orrr $200.26

Is 4.5 - (-3.5)positive negative or zero

Answers

Answer:

Positive

Step-by-step explanation:

Two minus signs = +

- - = +

Replace the -- with +

4.5+3.5 = 8

A and B are both positive integers. which expression is equivalent to -A- (-B) ?

answer choices:

B-A

-A - B

A - B

A + B

Answers

It was be B a negative number


A square picture has a 1-inch frame around it. If the area of the frame alone is 80 in.2, what is the area of the
picture?

Answers

See pic for answer and work

Evaluate the expression for v = 8

Answers

V = 8, because it can’t be simplified any further.

Determine the length of the hypotenuse. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

12.7

Step-by-step explanation:

[tex]9^{2}+9^{2}= 162\\\\\sqrt{162}= 12.7[/tex]

620 000 divided by 10 to the 3rd power plz help

Answers

Answer: 620

Step-by-step explanation: 620,000 / 10^3 = 620

Answer:

620

Step-by-step explanation:

10^3 = 10x10x10 =1000

620,000/1,000=620

Determina el valor de verdad de cada uno de los siguientes enunciados. Justifica tu respuesta

1. Si lim→ () y lim → () existen, entonces lim → () () existe.

Answers

Answer:

nsfd bgvhjbkjn

Step-by-step explanation:

Use the annual compound interest formula to find the amount in the savings account at the end of the time period and then find the total interest earned.
$8,000 at 5% for 3 years.
It is one of these answers if it helps...
$12,700 in account $4,700 interest
$10,520 in account $2,520 interest
$8,315 in account $315 interest
$9,216 in account $1,261 interest

Answers

Answer:

$9,216 in account $1,261 interest.

Step-by-step explanation:

The compound interest is given by:

[tex]a = p(1 + \frac{r}{n})^{nt} [/tex]

P = Principal

r = rate

n = Number of times interest is compounded per unit t

t = time

so:

[tex]a = 8000(1 + \frac{0.05}{1} ) ^{1 .3} \\ a = 9261[/tex]

therefore, the answer is:

$9,216 in account $1,261 interest

y=6x+4
y=-3-5
how would you find the x and y values?​

Answers

Step-by-step explanation:

Substitution

substitute -3-5 into y

it becomes -3-5=6x+4

solve the equation to find the answer for X

then substitute the value of X you found again into the equation to find Y

A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total receives were $2414

How many who paid were adults?

How many who paid were seniors?

Answers

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student    

6

 

Adult    

9

 

1

,

506

 

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was  

5

 less than three times the number of student tickets sold.

Let  

s

 be the number of student tickets.

Then  

3

s

5

 is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student  

s

   

6

   

6

s

 

Adult  

3

s

5

   

9

   

9

(

3

s

5

)

 

1

,

506

 

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

6

s

+

9

(

3

s

5

)

=

1506

 

Step 5. Solve the equation.

6

s

+

27

s

45

=

1506

33

s

45

=

1506

33

s

=

1551

s

=

47

students

 

Substitute to find the number of adults.

3

s

5

=

 number of adults

3

(

47

)

5

=

136

 adults

Step 6. Check. There were  

47

 student tickets at  

$6

 each and  

136

 adult tickets at  

$9

 each. Is the total value  

$1506

?

 We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

47

6

=

282

136

9

=

1224

_____

 

1506

 

Step 7. Answer the question. They sold  

47

 student tickets and  

136

 adult tickets.

Suppose you are given the function f(x) = 7x and asked for f(-6). This is the same as asking for the value of the function at x = ?

Answers

Answer:

the correct answer is -6

x+y=-9. I need help asap! Thank you!

Answers

Answer: -5 and -4

Step-by-step explanation:

Answer:

-6, -3

-9, 0

20, -29

-5,-4

etc.

Step-by-step explanation:

There are many. Did they give you any other info???

What is the center and radius of the circle?

(x-1)^2 + y^2= 36

Answers

Answer:

Center = ( 1, 0)

Radius = 6 units

Step-by-step explanation:

[tex] {(x - 1)}^{2} + {y}^{2} = 36 \\ \\ {(x - 1)}^{2} + {(y - 0)}^{2} = {6}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = 0 \\ r = 6 \\ \\ Center = (h, \: k) = (1, \: 0) \\ Radius \: = 6 \: units[/tex]

i need help can someone help me​

Answers

the mode is $6.00

thats the number there is the most of

Vincent has a box of popsicles. There are 12 cherry, grape 10 orange, and 6 blue raspberry If he reaches in the box and pulls one out at random, what the probability it will be blue raspberry?

Answers

Answer:

6:28 or 3:14

Step-by-step explanation:

if you add all the flavor amounts up, which is 12 + 10 + 6, you get 28. 6 of those 28 popsicles are blue raspberry, so the ratio is 6:28. if it needs to be simplified, its 3:14 because 6/2 is 3 and 28/2 is 14

Answer:

6:28 if you add all Popsicles it gives you 28,so the probability that he will pick raspberry are 6 ,so if you simplyfy further its 3:14

Triangle abc and xyz are congruent ,/_A is one half the size of /_B,/_y is 90° ./_c and /_z each have a measure of 45°.What is the measure of /_ a?

Answers

Answer:

∠a = 45°

Step-by-step explanation:

We are told that △abc and △xyz are congruent.

Thus;

∠a = ∠x

∠b = ∠y

∠c = ∠z

We are given;

∠y = 90°

Thus, ∠b = 90°

Now,we are told that ∠a is one half the size of ∠b.

Thus; ∠a = ½ × ∠b

∠a = ½ × 90

∠a = 45°

Rebecca wants to prove that if the diagonals in parallelogram are perpendicular, then it is a rhombus. Select the appropriate rephrased statement for Rebecca's proof

Answers

Answer:

The answer is C

Step-by-step explanation:

Khan Academy

Answer:

C

Step-by-step explanation:

If the square root of the length of the hypotenuse of a right triangle is 2 units, what is the sum of the squares of the length of the two other sides?

Whoever answers first will get all my 38 points!!

Answers

hyp^2 = a^2 + b^2

sqrt (hyp) = 2
hyp = 4
hyp^2 = 16 then from above a^2 + b^2 = 16

Solving Multistep Inequalities Task Cards Activity​

Answers

don’t click on the link it’s a virus

my question is the picture​

Answers

Answer:

20 students

Step-by-step explanation:

You first have to add the number of students all up and you get 200.Then you do cross multiplication.

40/200 x s/100=

40x100= 4000=

200xs= 200s=

200s/200=

4000/200=

20=

1 Kembangkan setiap yang berikut.
(a) 3x(2 - xy)
(b) (4p + 9(-2)

Answers

Answer:

6x*2-3x*2y

4p-18

Step-by-step explanation:

An experiment compares the height of two plants over time. A plant was 2cm tall at the beginning of the experiment and grew 0.5 centimeters each day. The functions f(t)=0.5+2 represents the height of the plant in centimeters after t days . Which plant for f, or g was growing faster ?

Answers

Answer:

Plant F;

Plant G;

Plant G

Step-by-step explanation:

Given that:

Plant F :

f(t)=0.5x+2

From the growth graph given for the second plant ; plant G

Point 1 (0, 5) ; point 2(16, 9)

Slope = Rise / Run = (9 - 5) / (16 - 0) = 4 / 16 = 0.25

Intercept = 5 ( point where fitted line crosses the y-axis)

Linear slope intercept relation : y = mx + c

m = slope ; c = intercept

g(x) = 0.25x + 5

The slope value of plant F = 0.5

Slope value of plant G = 0.25

F > G

Hence, F is growing at a faster rate

The starting height is given by the intercept value of the two equations ;

Plant F, intercept = 2

Plant G, intercept = 5

G > F

Hence, G was taller, to begin with

Height after 8 days :

x = 8

f(8)=0.5(8)+2

f(8) =  4 +2 = 6

g(8) = 0.25(8) + 5

g(8) =  2 + 5 = 7

Hence, G was taller after 8 days

Please answer, yes, or no.

Answers

Answer:

No if you see this sign means (<) that the number in like this1<2 that 2 is greater than 1 so it would be no because it would be this way 9>7 not 9<7

Step-by-step explanation:

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