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Vedmedyk [2.9K]
2 years ago
10

An overdraft balance occurs when the available balance in a bank account is below zero. Yvonne has an overdraft balance at the b

eginning of the year. The function graphed models Yvonne's account balance, y, in dollars, x weeks after the beginning of the year.
Select True or False to describe each statement.


True False
The x-intercept represents Yvonne's account balance at the beginning of the year.

The slope represents the amount Yvonne deposits to her account each week.

Yvonne no longer has an overdraft balance 4 weeks after the beginning of the year.


Graph of a line on a coordinate plane. The horizontal x axis ranges from 0 to 9 in increments of 1. The vertical y axis ranges from negative 100 to 100 in increments of twenty five. A line passes through the points begin ordered pair 0 comma negative 1 hundred end ordered pair and begin ordered pair 4 comma 0 end ordered pair and begin ordered pair 8 comma 1 hundred end ordered pair.
Mathematics
2 answers:
34kurt2 years ago
4 0

Answer:

False; True; True.

Step-by-step explanation:

In this situation, the y-intercept would represent the amount of money in her account at x=0 weeks, or the beginning of the year.  This is not the x-intercept, so the first statement is false.

The slope is the rate of change.  This would describe how her account changes every week, so this represents the amount of money she deposits into her account each week.  This means the second statement is true.

The line goes through the point (4, 0).  Since x is the number of weeks, this would represent the amount in her account after 4 weeks.  Since the y-value is 0, this means she no longer has an overdraft balance after 4 weeks.  This means the second statement is true.

Serggg [28]2 years ago
3 0
The answer fam is .... The x-intercept represents Yvonne's account balance at the beginning of the year. This statement is False............The slope represents the amount Yvonne deposits to her account each week. This statement is True.........<span>Yvonne no longer has an overdraft balance 4 weeks after the beginning of the year. This statement is True</span>

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The area of the rectangle is 64.8 square centimeters. What is the perimeter of the rectangle? One group of ten tenths and one gr
9966 [12]

Answer:

(a) Perimeter = 32.2\ cm

(b) 100

Step-by-step explanation:

Solving (a):

Given

Shape: Rectangle

Area = 64.8

Required

Calculate the perimeter.

Area is calculated as:

Area = L * W

Where

L = Length and W = Width

Substitute 64.8 for Area

64.8 = L * W

Make L the subject:

L = \frac{64.8}{W}

Perimeter is calculated as:

P = 2 * (L + W)

Substitute 64.8/W for L

P = 2 * (\frac{64.8}{W} + W)

P = \frac{129.6}{W} + 2W

To solve further, we take the derivative of P and set it to 0, afterwards.

dP = -\frac{129.6}{W^2} + 2

Set to 0

0 = -\frac{129.6}{W^2} + 2

Collect Like Terms

\frac{129.6}{W^2} = 2

Cross Multiply:

2W^2= 129.6

Divide through by 2

W^2 = 64.8

Take square roots

W = \sqrt{64.8

W = 8.05

Recall that:

L = \frac{64.8}{W}

So:

L= \frac{64.8}{8.05}\\

L= 8.05

The perimeter is:

Perimeter = 2 * (8.05 + 8.05)

Perimeter = 2 * (16.10)

Perimeter = 32.2\ cm

Solving (b):

Given

((1 Group of 10 tenths) and (1 group of 8 tenths))/(6 groups of 3 tenths)

Required

Solve

Tenths = \frac{1}{10}

So, the expression becomes:

((1 Group of 10 * \frac{1}{10}) and (1 group of 8 * \frac{1}{10}))/(6 groups of 3 * \frac{1}{10})

This gives:

((1 Group of \frac{10}{10}) and (1 group of \frac{8}{10}))/(6 groups of \frac{3}{10})

Group means product, so the expression becomes:

\frac{(1 * \frac{10}{10} \ and\ 1 * \frac{8}{10})}{6 * \frac{3}{10}}

And, as used here means addition

\frac{(1 * \frac{10}{10} +  1 * \frac{8}{10})}{6 * \frac{3}{10}}

Simplify:

\frac{(1 * 1 +  1 * 0.80)}{6 *0.30}

\frac{(1 +  0.80)}{1.80}

\frac{1.80}{1.80}

= 1.00

7 0
2 years ago
In the diagram, P1P2 and Q1Q2are the perpendicular bisectors of AB¯¯¯¯¯ and BC¯¯¯¯¯, respectively. A1A2 and B1B2 are the angle b
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On a coordinate plane, a curved line begins at point (negative 2, negative 3), crosses the y-axis at (0, negative .25), and the
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Answer:

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correct answer on edge :)

7 0
2 years ago
The table and the graph show the relationship between the edge length, x, of a cube and its surface area, y. Is the relation a f
d1i1m1o1n [39]

Answer:

Yes, the relationship between x and y is a non-linear function.

Step-by-step explanation:

Given the table

Edge Length, x            Surface Area, y

1                                             6

2                                            24

3                                            54

4                                             96

  • The table values clearly represent a function, because each input value has one and only one output value. i.e. there is no repetition of x values.

  • Also from the table values and the graph, it is clear that the function is not a linear function, because the graph is not a straight line. Also, In a cubic function, the highest power over the x variable(s) is 3. So, it is not a linear function.

Hence, we conclude that Yes, the relationship between x and y is a non-linear function.

Therefore, the 'last option' is correct.

4 0
2 years ago
An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $190 and the lower-pr
Alex_Xolod [135]

190x +80(3x) = 3440
x represents how many are sold. then multiply 80×3
80 \times 3 = 240
then add your x together
190x + 240x = 430x
then you must divide your x by 3440
3440 \div 430 = 8
8 is how many higher-priced speakers take you 8 and multiple it by 3 to get how many lower-priced speakers
8 \times 3 = 24
you have 24 low priced speaker and 8 high priced speakers.
4 0
2 years ago
Read 2 more answers
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