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2 years ago

What value of b will make the expressions −13.2x+b and −2.2(6x−2.4)+4.3 equivalent?

Mathematics

1 answer:

tigry1 [53]2 years ago

5 0

We know that:

−13.2x + b = −2.2(6x − 2.4) + 4.3

Solution:

−13.2x + b = −2.2(6x − 2.4) + 4.3
=> −13.2x + b = -13.2x + 5.28 + 4.3
=> −13.2x + b = -13.2x + 9.58
=> b = 9.58

Hence, the value of b to make this equation equivalent is 9.58

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Answer:

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maw [93]

Answer:

The y-intercept is the point (0,-8)

see the attached figure

Step-by-step explanation:

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$f(x)=0^{2}-2(0)-8\\f(x)=-8$

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see the attached figure to better understand the problem

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3 years ago

What is the y-intercept of the function, represented by the table of values

AleksandrR [38]

Answer:

Step-by-step explanation:

The table is given below

$\left|\begin{array}{c|cc}x&y\\--&--\\-2&15\\1&6\\2&3\\4&-3\\7&-12\end{array}\right|$

We can see that the table represents a linear function since by checking its slope.

Using:

Points (-2,15) and (1,6)
Points (1,6) and (2,3)

$Slope =\dfrac{6-15}{1-(-2)} =\dfrac{3-6}{2-1}=-3$

Therefore, the values represent a linear function.

A linear equation is of the form y=mx+b

Therefore:

y=-3x+b

Using the points (7,-12)

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Therefore, the y-intercept of the function, represented by the table of values is 9.

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2 years ago

the length of a rectangle is 5 meters less than 3 times the width. the perimeter of the rectangle is 14 meters. find the length

morpeh [17]

Answer:

(4+x) + x = 18; 2x=14; x=7; width = 7, length = 11

Step-by-step explanation:

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2 years ago