MATHEMATICS HIGH SCHOOL

Question 2 An exponential model y = a.6 passes through the points (0,9) and (3,243). What are the values of a and b?​

Answers

Answer 1
Answer:

Answer:

a = 9, b = 3

Step-by-step explanation:

The exponential function is

y = a b^(x)

Find a and b by using the points it passes through

Using (0, 9 ) then

9 = a b^(0) ( b^(0) = 1 )

a = 9

y = 9 b^(x)

Using (3, 243 ) then

243 = 9b³ ( divide both sides by 9 )

27 = b³ ( take the cube root of both sides )

b = \sqrt[3]{27} = 3

y = 9(3)^(x) ← exponential equation

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Solve the systems of equations by graphing.
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I need help on this question

3x + y = 3x + y = 2

Solve the system of equations.

A) x = 1/2, y = 3

B) x = 3, y = 1/2

C) x = 1/2, y = 3/2

D) x = 3/2, y = 1/2

Answers

If you would like to solve the system of equations, you can do this using the following steps:

3x + y = 3
x + y = 2 ... y = 2 - x
_________________
3x + y = 3
3x + 2 - x = 3
2x = 3 - 2
2x = 1
x = 1/2

y = 2 - x = 2 - 1/2 = 1 1/2 = 3/2

(x, y) = (1/2, 1 1/2) = (1/2, 3/2)

The correct result would be C) x = 1/2, y = 3/2.

Drag the tiles to the correct boxes to complete the pairs.

Answers

Graph 3
Graph 1
Graph 4
Graph 2

To make 2 batches of nut bars, jayda needs to use 4 eggs. How many eggs are used in each batch of nut jars?

Answers

4/2=2
2 eggs are used in each batch

What is 0.195 rounded to the nearest hundredth

Answers

the answer will be 0.20 
0.20 is 0.195 roundest to the nearest hundredth 

Luisa's restaurant and Bill comes to $75.50, and she leaves a 15% tip. What is Luisa's total restaurant bill?

Answers

The total amount is given by the equation A = $ 86.825

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount in the restaurant be represented as A

Now , the equation will be

The amount of bill from the restaurant = $ 75.50

The percentage of tip by Luisa = 15 %

So , the amount of tip by Luisa = ( 15/100 ) x amount of bill from the restaurant

Substituting the values in the equation , we get

The amount of tip by Luisa = 0.15 x 75.50

The amount of tip by Luisa = $ 11.325

So , the total amount in the restaurant A = amount of bill from the restaurant + amount of tip by Luisa

Substituting the values in the equation , we get

The total amount in the restaurant A = $ 75.50 + $ 11.325

The total amount in the restaurant A = $ 86.825

Hence , the equation is A = $ 86.825

To learn more about equations click :

brainly.com/question/19297665

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if she leaves a 15% tip then the total bill is $86.83 when rounded. multiply 75.50 by 1.15.

A young boy dropped his deck of baseball cards. Unwilling to count them again he remembered that when he put them in piles of two, there was one card left over. When he put them in stacks of three, there was one card left over. The same thing happened for stacks of 4, 5, 6, but when he put them in stacks of 7, there were no cards left over!How many cards did the boy have? Is there only one possibility? Can you generalize a solution?

Answers

so if he put them in 2 stacks and there was 1 card left over, he has an odd number of cards

when he put them in 3 stacks there was 1 card left over
      we can tell that if he took away one of his card and divided 
     the stack of cards by two or three the number would be the
     same

so he divides it by 4 5 and 6 so the number of cards is not divisible by 2,3,4,5,6
but it is divisable by 7
so we must find a number that when you subtract one you can divide it by 2,3,4,5,6
so i just guessed a term from 7^n
so 49 doesn't work because 48 doesn't divide into 5
343 doesn't work because 342 doesn's divide by 6
but 2401 (7^4) works because 2400 divides evenly by 2,3,4,5, and 6

Just a note, this number is not very logical that he would have time to count them all but hey, it's math


 
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