Betty makes an 8% commission on any artwork she sells. If she sells $125 worth of artwork, how much is her commission?

A. x-int:-0.5,y-int:1 B. x-int:0.5,y-int:1 C. x-int:-0.5,y-int:-1 D. x-int:1,y-int:0.5

hodyreva [135]

The correct answer is: [D]: " x-int : 1 , y-int: 0.5 " .
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Note:
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The "x-intercept" refers to the point(s) at which the the graph of a function (which is a "line", in this case) cross(es) the "y-axis".

In other words, what is (are) the point(s) of the graph at which "x = 0" ?

By examining the graph, we see that when " x = 0" ; y is equal to: "1" .

So; the "x-intercept" is at point: "(0, 1)" ; or, we can simply say that the
"x-intercept" is: "1" .
_________________________________________________________ Note:
_____________________________________________________
The "y-intercept" refers to the point(s) at which the the graph of a function (which is a line, in this case) cross(es) the "x-axis".

In other words, what is (are) the point(s) of the graph at which " y = 0 " ?

By examining the graph, we see that when " y = 0 " ; x is equal to: "0.5" .

So; the "x-intercept" is at point: "(0.5, 0)" ; or, we can simply say that the
"y-intercept" is: "0.5 " .
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This would correspond to:
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Answer choice: [D]: " x-int: 1 , y-int: 0.5 " .
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{that is; The "x-intercept" is: "0" ; and the "y-intercept" is: "0.5 ".} .
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5 0

3 years ago

|2x - 3] > 7 is equivalent to:

GrogVix [38]

Answer:

x<5

Step-by-step explanation:

2x-3>7 you add three to both sides

2x>10 you then divide 2x by 2 and 10 by 2 which switches the symbol around

x<5 that's the answer

4 0

3 years ago

Read 2 more answers

Rhombus EFGH is shown. What is the measure of ∠HGJ?

MaRussiya [10]

Answer:

∠HGJ = 35°

Step-by-step explanation:

Although the question is somewhat incomplete, I have tried to reconstruct the question as much as possible to aid understanding (attached is the pictorial representation of the rhombus).

Firstly, it is important to note that rhombuses are parallelograms which have all sides equal and whose diagonals are perpendicular to each other. In addition to this, their diagonals bisect one other.

Mathematically, |EF| = |FG| = |GH| = |HE|

Another property which rhombuses have is that their opposite angles are equal.

Mathematically, ∠E = ∠G, ∠H = ∠F

The adjacent angles in a rhombus are supplementary. This means that the sum of angles closest to each other is 180°.

Mathematically, ∠E + ∠F = 180°, ∠F + ∠G = 180°, ∠G + ∠H = 180°,

∠H + ∠E = 180°

The question gave us ∠GHE and asked us to find ∠HGJ (denoted as θ in the picture attached). Note that ∠GHE means ∠H. That is, ∠GHE ⇒ ∠H

∠GHE or ∠H = 110°

From the properties of rhombuses (earlier stated), we know that adjacent angles in a rhombus are supplementary

Mathematically,

∠GHE + ∠FGH ⇒ 110° + ∠FGH = 180° ⇒ ∠FGH = 180° - 110°

∠FGH or ∠G = 70°