Of the ice cream cones sold yesterday at percy's ice cream shop, 1/3 were chocolate and another 1/2 were vanilla. what fraction of the ice cream cones sold were either chocolate or vanilla

Answer:

Option: D is correct.

9/2

Step-by-step explanation:

We have to find the multiplicative rate of change of the exponential function shown on the graph.

We know that a general exponential function is given as:

[tex]y=ab^x[/tex]

where b is the multiplicative rate of change.

Now when x=0 we have y=1.

i.e. 1=a

Hence, a=1

and y=b^x

Also,

the graph passes through (1,9/2)

Now when x=1 we have y=9/2

i.e.

9/2=b

Hence, the multiplicative rate of change is:

9/2

The correct answer is A) 2/9. The multiplicative rate of change of the exponential function shown on the graph is A) 2/9.

To determine the multiplicative rate of change of an exponential function from its graph, we need to identify two points on the graph that are one unit apart horizontally (i.e., one unit apart in the x-direction). The multiplicative rate of change is the ratio of the function values (y-values) of these two points.

Let's assume we have two points, (x, y) and (x+1, y'), where y and y' are the corresponding y-values of the exponential function at these x-values. The multiplicative rate of change, r, is given by:

[tex]\[ r = \frac{y'}{y} \][/tex]

From the graph, we can identify two such points. For example, if the function passes through the y-axis at (0, 1) and then at (1, 2/9), we can calculate the multiplicative rate of change as follows:

[tex]\[ r = \frac{2/9}{1} = \frac{2}{9} \][/tex]

This is the multiplicative rate of change of the exponential function. It indicates that for every unit increase in x, the y-value is multiplied by 2/9.

Therefore, the multiplicative rate of change of the exponential function shown on the graph is A) 2/9.

The costs of two moving companies are the same for a job that lasts 4 hours.

To find out how long a job must last for the two companies' costs to be the same, we need to set up an equation where both company costs are equal and solve for the time variable, which I will denote as 't' hours.

The first moving company's cost can be represented as:$2,000 + $100 x t.

The second moving company's cost can be represented as: $1,800 + $150 x t.

To find the time when both costs are the same, we set the two expressions equal to each other:

$2,000 + $100t = $1,800 + $150t

Now, we need to solve for 't' by subtracting $100t from both sides and subtracting $1,800 from both sides:

$200 = $50t

Divide both sides by $50 to isolate 't':

t = 4 hours

So, the two companies would have the same cost for a 4-hour job.

Answer:

$4.95

Step-by-step explanation:

1.29 * 2 = 2.58 + 1.99 = 4.57

4.57 + .38 = 4.95

Answer:

The measure of angle DCF is 129 degrees.

Step-by-step explanation:

Angle DCF is the sum of angle DCE plus angle ECF.

This is because, DCF is the main angle and DCE and ECF are its two parts.

Hence, the measure of angle DCF will be = [tex]75+54=129[/tex] degrees.

The answer is :

The measure of angle DCF is 129 degrees.

Answer: B - lines that intersect at a single point

Answer:

Answer: B - lines that intersect at a single point

Step-by-step explanation:

glad i helped

The algebraic expression for the word phrase is;

⇒ 6/5+y

Option B is true.

Here,

The word phrase is;

''The quotient of 6 and the sum of 5 and y''.

We have to find the algebraic expression.

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Now,

The word phrase is;

''The quotient of 6 and the sum of 5 and y''.

Quotient means fraction and sum of 5 and y is 5 + y.

Hence, The algebraic expression is;

⇒ 6 / 5+y

Therefore, The algebraic expression for the word phrase is;

⇒ 6/5+y

Option B is true.

Learn more about the mathematical expression visit:

https://brainly.com/question/1852123

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Final answer:

The solution to the system of linear equations is x = -1, y = 2

Explanation:

To solve the system of linear equations:
4x - y = -6
x - 2y = -5
We can use the method of substitution or elimination to find the solution.
Let's use the elimination method. We can multiply the second equation by 4 to make the coefficients of x in both equations the same.
4(x - 2y) = 4(-5)
4x - 8y = -20
Now, we can subtract the second equation from the first equation to eliminate x.
(4x - y) - (4x - 8y) = (-6) - (-20)
-y + 8y = 14
7y = 14
y = 2
Substituting y = 2 back into the first equation:
4x - 2 = -6
4x = -4
x = -1
The solution to the system of linear equations is x = -1, y = 2

The correct solutions to the given equation are x = 1 and x = 7.

The solutions to the equation x² - 8x + 7 = 0 are x = 1 and x = 7.

To find these solutions, we can factor the quadratic equation by finding two numbers that multiply to 7 (the constant term) and add up to -8 (the coefficient of the x term).

Therefore, the correct solutions to the given equation are x = 1 and x = 7.

Answer:

The answer is -3x^2+6