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Vika [28.1K]
3 years ago
5

Determine which is the graph of the given function.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

The answer is the fourth graph

Step-by-step explanation:

f(x) = 2x + 5 ⇒ x < 0

Represented by line its slope is 3 and its y-intercept 5

f(x) = 5 ⇒ 0 ≤ x ≤ 10

Represented by horizontal line at y = 5 from x = 0 to x = 10 with black circle on the point because x = 10

f(x) = 2x - 10 ⇒ x > 10

Represented by line its slope is 2 and start from y = 10 at x = 10 with empty circle on the point because x ≠ 10

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Step-by-step explanation:

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I need help with number 4
Nadusha1986 [10]
\bf \begin{cases}&#10;\quad3x+2y=-9\\&#10;-10x+5y=-5&#10;\end{cases}

so hmm the idea behind the elimination, is to make the value atop or below, of either variable, the same but with a negative sign

so hmmm say... we'll eliminate "y"

so... let's see, we have 2y and 5y, both positive
what do we multiply 2y to get a negative -5y, that way, -5y +5y = 0 and poof it goes

well let's see, let's try "k"     \bf 2yk=-5y\implies k=-\cfrac{5y}{2y}\implies k=-\cfrac{5}{2}

so.. if we multiply 2y by -5/2, we'll end up with -5y

well, let's multiply that first equation then by -5/2

\bf \begin{array}{rllll}&#10;3x+2y=-9&\qquad\times -\frac{5}{2}\implies &-\frac{15}{2}x-5y=\frac{45}{2}\\\\&#10;-10x+5y=-5&\implies &-10x+5y=-5\\&#10;&&---------\\&#10;&&\frac{-35}{2}x+0\quad=\frac{35}{2}&#10;\end{array}\\\\&#10;-----------------------------\\\\&#10;\cfrac{-35}{2}x=\cfrac{-35}{2}\implies \cfrac{-35x}{2}=\cfrac{-35}{2}\implies x=\cfrac{2}{-35}\cdot \cfrac{-35}{2}&#10;\\\\\\&#10;\boxed{x=1}

so.. now we know x = 1.... so let's plug that in  say hmmm 2nd equation

\bf -10(1)+5y=-5\implies -10+5y=-5\implies 5y=5\implies\boxed{ y=1}
3 0
3 years ago
Could anyone check me on this? Please correct me if I’m wrong,thank u :D
azamat
You are right the answer is A
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3 years ago
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Arlecino [84]
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3 years ago
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Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles.
Artist 52 [7]

Answer:

c. no triangles

Step-by-step explanation:

11 + 8.2 = 19.2 < 20.2

sum of 2 side length should be larger than third side length

4 0
3 years ago
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