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ch4aika [34]
2 years ago
7

Amelia is ordering a balloon bouquet. She can choose any combination of 10-inch balloons and 8-inch balloons for her bouquet, an

d she does not want to spend more than $30.
If the 10-inch balloons cost $4 each dollars and the 8-inch balloons cost $2 each, which inequality represents all possible combinations of x 10-inch balloons and y 8-inch balloons?
Mathematics
1 answer:
Otrada [13]2 years ago
7 0

4x + 2y <= 30

ignore this text need to reach char minimum

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Determine the number of real solutions of -2x2 + 5x - 3 = 0.
andrew11 [14]

-2x^2 + 5x -3 =0

Find the discriminate:

In the given formula a = -2, b = 5 and c = -3

The discriminate is found using the formula b^2 - 4(ac)

Replace the letters with their values:

5^2 - 4(-2*-3)

25 - 4*6

25-24 = 1

When the discriminate is greater than or equal to 0, there are two real solutions.

The answer is c) 2

4 0
3 years ago
Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim
Ber [7]

The given function is

f(x)=4\cos \text{(}\pi x)+1

The general form of the cosine function is

y=a\cos (bx+c)+d

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}

The equation of the midline is

y_{ml}=\frac{y_{\max }+y_{\min }}{2}

Since the maximum is at the greatest value of cos, which is 1, then

\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}

Since the minimum is at the smallest value of cos, which is -1, then

\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}

Then substitute them in the equation of the midline

\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0
1 year ago
For which function and interval can the extreme value theorem be applied?
Lana71 [14]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
Afan pays $875 for 3 premium seat tickets. Another fan pays $2125 for 8 premium seat tickets. Write a linear model for the cost
grandymaker [24]

The equation is : C=250t +125 where C is the cost and t represent the number of tickets purchased.

Step-by-step explanation:

Let the cost of premium seat ticket be C

Let the number of tickets a fan buys to be t

Then, presenting the information as ordered pairs of coordinates (x,y) will be;

Fan 1, (3,875)

Fan 2, (8,2125)

Plot the ordered pairs as coordinates on a graph tool, find the slope of the linear graph and equation in slope intercept form as;

m=Δy/Δx

m=2125-875/8-3

m=1250/5

m=250

Equation of the graph,

Δy/Δx=250

y-875/x-3 =250

y-875=250(x-3)

y-875=250x-750

y=250x-750+875

y=250x+125

C=250t +125 where C is the cost and t represent the number of tickets purchased

Learn More

Slope-intercept form equation: brainly.com/question/11016508

Keyword : slope-intercept form,cost

#LearnwithBrainly

7 0
3 years ago
What is the sum of 32+49
NNADVOKAT [17]
Hmmmmmmm, 32+49=81. :D
3 0
3 years ago
Read 2 more answers
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