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natka813 [3]
3 years ago
13

Find a and b given f(x) = ax + b, f(1) = 7, and f(3) = -5.

Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Answer:

a = - 6, b = 13

Step-by-step explanation:

Given f(1) = 7 , that is f(x) = 7 when x = 1

f(3) = - 5 , that is f(x) = - 5 when x = 3

Substitute these values into f(x) = ax + b

a + b = 7 → (1)

3a + b = - 5 → (2)

Subtract (1) from (2) term by term to eliminate b

(3a - a) + (b - b) = - 5 - 7

2a = - 12 ( divide both sides by 2 )

a = - 6

Substitute a = - 6 into either of the 2 equations and solve for b

Substituting into (1)

- 6 + b = 7 ( add 6 to both sides )

b = 13

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Answer:

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Step-by-step explanation:

To determine the area of the composite shape, we need to:

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<u>Determining the area of shape 1 (Rectangle 1):</u>

⇒ Area of rectangle = Lenght × Breadth

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⇒                               = 10.08 yd²

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6 0
2 years ago
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The image is attached with answer

<h3>What is a Quadrilateral ?</h3>

A quadrilateral is a polygon with four sides , four angles and four vertices.

It is given in the question that

Quadrilateral BGTS has vertices B (-3, 4), G (-1, 3), T (-1, 1), and S (-4, 2).

A graph has to be drawn of

its image after a translation along (5,0) and a reflection in the x-axis.​

The coordinates after translation and reflection is is B (8, -4), G (6, -3), T (6, -1), and S (7, -2).

The image is attached with the answer .

To know more about Quadrilateral

brainly.com/question/13805601

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