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gavmur [86]
3 years ago
9

Which linear inequality is represented by the graph?

Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

Answer: y > 2x + 1

Step-by-step explanation:

In the graph first, we can see two things:

The line is not solid (so the values in the line are not included), and the shaded part is above, so we will be using the symbol:

y > f(x)

Now, in the line we can see that when x = 0, y = 1.

So the linear equation must be something like:

f(x) = a*x + 1

The only one that has an y-intercept equal to 1 is y > 2x + 1

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Make x the subject of these equations.
shepuryov [24]

(1)a(x + b) = c \\ ax + ab = c \\ ax = c - ab \\  \frac{ax}{a } =  \frac{c - ab}{a}   \\ x =  \frac{c - ab}{a}

(2)8(x + a) = b \\ 8x + 8a = b \\ 8x = b - 8a \\  \frac{8x}{8}  =  \frac{b - 8a}{8}  \\ x =  \frac{b - 8a}{8}

(3)a(x - 7) = b \\ ax - 7a = b \\ ax = b + 7a \\  \frac{ax}{a}  =  \frac{b + 7a}{a}  \\ x =  \frac{b + 7a}{a}

(4)c(2  + x) = 6 \\ 2c + cx = 6 \\ cx = 6 - 2c \\  \frac{cx}{c}  =  \frac{6 - 2c}{c}  \\ x =  \frac{6 - 2c}{c}

8 0
4 years ago
Read 2 more answers
What does the measure of B Equal?
defon
You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.

Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.

Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.

Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.

m<BAC + m<B + m<BCA = 180

32 + m<B + 41 = 180

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m<B = 107
8 0
4 years ago
Find the product.<br><br> (5x2−4x+6)(−2x+3)=
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The answer is -10x^3+23x^2-24x+18
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3 years ago
Two-thirds of a number is negativesix. find the number.​
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Answer:

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Step-by-step explanation:

Let x = number

2/3 (x) = -6

(x) = -6 divided by 2/3

x = -9

4 0
4 years ago
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<img src="https://tex.z-dn.net/?f=g%28n%29%20%3D%20%20-%20%20%7B2n%7D%5E%7B2%7D%20%20%2B%203" id="TexFormula1" title="g(n) = -
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\bf g(n)=-2n^2+3\qquad \qquad g(\stackrel{\stackrel{n}{\downarrow }}{6})=-2(6)^2+3\implies g(6)=-2(36)+3 \\\\\\ g(6)=-72+3\implies g(6)=-69

6 0
3 years ago
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