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2 years ago

You joined an online coupon club. You earned 100 bonus points just by signing up.

Mathematics

2 answers:

BARSIC [14]2 years ago

5 0

Answer:

Total Points = 10 • Months + 100

Step-by-step explanation:

Mkey [24]2 years ago

4 0

Answer:

y = 10x + 100

Step-by-step explanation:

The 100 bonus points are guaranteed, no matter if you use the site for 0 months or more. Thus, 100 is the constant, the y-intercept in a graph.

The 10 points you earn for each month is the rate of change, or slope.

The equation is:

y = 10x + 100

where x represents the number of months used, and y is the total points.

As a function, the equation is:

p(x) = 10x + 100

where x is the number of months, and p meaning points.

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2. Why are the triangles congruent?

Lady bird [3.3K]

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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2 years ago

Read 2 more answers

Please HELP ME I need help on this final question

I am Lyosha [343]

1 and 2 are right because one has adjacent. 2 vertical angles. Vertical angles mean the same plane and adjacent means two sides of an X.

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9 months ago

Could the inverse of a non-function be a function? Explain or give an example.

Kitty [74]

Answer:

The inverse of a non-function mapping is not necessarily a function.

For example, the inverse of the non-function mapping $\lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!$ is the same as itself (and thus isn't a function, either.)

Step-by-step explanation:

A mapping is a set of pairs of the form $(a,\, b)$ . The first entry of each pair is the value of the input. The second entry of the pair would be the value of the output.

A mapping is a function if and only if for each possible input value $x$ , at most one of the distinct pairs includes $x\!$ as the value of first entry.

For example, the mapping $\lbrace (0,\, 0),\, (1,\, 0) \rbrace$ is a function. However, the mapping $\lbrace (0,\, 0),\, (1,\, 0),\, (1,\, 1) \rbrace$ isn't a function since more than one of the distinct pairs in this mapping include $1$ as the value of the first entry.

The inverse of a mapping is obtained by interchanging the two entries of each of the pairs. For example, the inverse of the mapping $\lbrace (a_{1},\, b_{1}),\, (a_{2},\, b_{2})\rbrace$ is the mapping $\lbrace (b_{1},\, a_{1}),\, (b_{2},\, a_{2})\rbrace$ .

Consider mapping $\lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!$ . This mapping isn't a function since the input value $0$ is the first entry of more than one of the pairs.

Invert $\lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!$ as follows:

$(0,\, 0)$ becomes $(0,\, 0)$ .
$(0,\, 1)$ becomes $(1,\, 0)$ .
$(1,\, 0)$ becomes $(0,\, 1)$ .
$(1,\, 1)$ becomes $(1,\, 1)$ .

In other words, the inverse of the mapping $\lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!$ would be $\lbrace (0,\, 0),\, (1,\, 0),\, (0,\, 1),\, (1,\, 1) \rbrace\!$ , which is the same as the original mapping. (Mappings are sets. There is no order between entries within a mapping.)

Thus, $\lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!$ is an example of a non-function mapping that is still not a function.

More generally, the inverse of non-trivial ellipses (a class of continuous non-function $\mathbb{R} \to \mathbb{R}$ mappings, including circles) are also non-function mappings.

3 0

1 year ago

Find the area and perimeter

spin [16.1K]

Answer:

area (A) =(9x+108)unit^2

perimeter (P) =(2x+42) units

Step-by-step explanation:

area(A) =length(l) × breadth(b)

perimeter(P) =2(l+ b) {which is sum of all sides}

so, l = 7+x+5 = (x+12) units and b = 9 units

now, A=(x+12) × 9 units^2

=(9×x + 12×9 ) units^2

Therefore,

A =(9x+108)unit^2

next, P=2{(x+12)+9}

=2(x+21)

Hence,

P=(2x+42) units

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2 years ago

4 && 5 struggling.... little difficult

zlopas [31]

I can’t answer 5 because I don’t know what was in Example two, but I can tell you how to graph the equation y = -200x + 2400!

This equation is in slope intercept form, which means that the number next to the variable is the rate of change and the number added onto the first term is the initial value. Since your initial value is 2400, your first point will be at (0, 2400). Each time x increases by 1, y will decrease by 200 (because the rate of change is -200). So your second point will be (1, 2200) and so on.

3 0

2 years ago