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3 years ago

Identify the constant of proportionality in the graph.

Mathematics

2 answers:

UNO [17]3 years ago

6 0

The answer should be A) 60

mart [117]3 years ago

4 0

Answer:

A) 60

Step-by-step explanation:

Find two points that intersect with the grid.

(0,0) and (1, 60)

Subtract the second y value from the first y value. Do the same to the X-values.

Write this as a fraction with the y values over the x-values.

60-0= 60

-------------

1 - 0 = 1

60/1 = 60

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What is the value of x?<br><br> X___

vladimir1956 [14]

since all angles are the same, then the sides must also be the same measure

therefore

6x-3=3x+6=5x

we can solve for x by taking any 2 equations

6x-3=5x

minus 5x both sides

x-3=0

x=3

4 0

3 years ago

Last year at a certain high school, there were 96 boys on the honor roll and 60 girls on the honor roll. This year, the number o

djverab [1.8K]

Answer:

19%

Step-by-step explanation:

Last year:

Number of boys on honor roll = 96

Number of girls on honor roll = 60

Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll

= 96 + 60

= 156

This year:

The number of boys on the honor roll increased by 25%

Number of boys on honor roll = 25% of 96 + 96

= 0.25×96 + 96

= 24 + 96

= 120

The number of girls on the honor roll increased by 10%.

Number of girls on honor roll = 10% of 60 + 60

= 0.10 × 60 + 60

= 6 + 60

= 66

Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll

= 120 + 66

= 186

Percentage the total number of students on the honor roll increase = (186 - 156) / 156 × 100

= 30 / 156 × 100

= 0.19 × 100

= 19% to the nearest tenth

4 0

3 years ago

Can you help me please

kicyunya [14]

9514 1404 393

Answer:

domain: x ∉ {-4, 3}
range: y ∉ {1}
horizontal asymptote: y=1
vertical asymptote: x=3

Step-by-step explanation:

The expression reduces to ...

$\dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)$

The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.

the domain is all real numbers except -4 and +3

The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.

the range is all real numbers except 1

As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*

(x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1

There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.

vertical asymptote at x=3; horizontal asymptote at y=1

_____

* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)