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Kay [80]
4 years ago
12

Which linear function is represented by the graph?

Mathematics
2 answers:
sergiy2304 [10]4 years ago
3 0

<u>Answer-</u>

<em>Linear function that is represented by the graph is y=-\dfrac{1}{2}x+1</em>

<u>Solution-</u>

From the graph,

y - intercept of the linear function is 1 and there are two points on the line (-4, 3), (4, -1)

We can get the equation of line by applying slope-intercept formula,

Slope of the line,

=\dfrac{y_2-y_1}{x_2-x_1}\\\\=\dfrac{-1-3}{4+4}\\\\=\dfrac{-4}{8}\\\\=-\dfrac{1}{2}

Now applying slope-intercept formula,

y=mx+c

Putting the values,

\Rightarrow y=-\dfrac{1}{2}x+1

y=-\dfrac{1}{2}x+1

Therefore, linear function that is represented by the graph is y=-\dfrac{1}{2}x+1

prohojiy [21]4 years ago
3 0

Answer:

option B is correct.

y =\frac{1}{2}(-x)+1

Step-by-step explanation:

Using Point slope form:

The equation of line is given by:

y-y_1=m(x-x_1)         .....[1]

where m is the slope of the line and (x_1, y_1) is the point on the coordinate plane.

Consider any two points from the graph:

Let (0, 1) and (4, -1)

Calculate slope:

Slope is given by:

m = \frac{y_2-y_1}{x_2-x_1}

then substitute the given values we have;

m = \frac{-1-1}{4-0}=\frac{-2}{4}=-\frac{1}{2}

Now, substitute the value of m and (0, 1) in [1]  then;

y-1=-\frac{1}{2}(x-0)

Simplify:

y-1=-\frac{1}{2}x

Add 1 to both sides we have;

y =\frac{1}{2}(-x)+1

Therefore, the linear function is represented by the graph is

y =\frac{1}{2}(-x)+1

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Answer: $574

Step-by-step explanation:

First we need to calculate the price of the snowboard before the addition of the tax. This will be represented by x. Therefore,

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Answer:

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If QS bisects PQT, SQT=(8x-25), PQT=(9x+34), and SQR = 112, find each measure
inna [77]

The value of

  • x = 12°
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SQR = 112°

we need to find the x angle and the remaining angles.

we know that QS bisects ∠PQT

⇒ 2(8x₋25)° = (9x₊34)°

(16x ₋ 30)° =  (9x₊34)°

16x ₋ 9x = 34 ₋ 30

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substitute x value in the given values of angles.

m∠PQS = (8x ₋ 25)° = (8(12)₋25) = 71°

m∠PQT = (9(12)₊34) = 142°°

m∠TQR = 112° ₋ ∠PQS = 112° ₋ 71° = 41°

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Given the first term and the term-to-term rule, write down the first six terms of each sequence.
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Find the value of x in the triangle shown below choose 1 answer
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Answer:

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