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2 years ago

What is the solution to 2x²+8x=x²-16? O x=-4 O x=-2 O x=2 Ox=4

Mathematics

1 answer:

expeople1 [14]2 years ago

8 0

2x²+8x=x²-16

2x²-x²+8x+16=0

x²+8x+16=0

D=b²-4ac

=8²-4×1×16

=64-64

x= -b+VD / 2a

=-8+V0 /2

= -8/2

=-4

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AleksandrR [38]

The equation for the line of best fit, the good approximation for x when f(x) = 30 is 20.

Given that

The equation for the line of best fit is f(x) = 1.8x − 5.4 for the set of values in the table.

A 2-column table with 7 rows.

The first column is labeled x with entries 4, 5, 6, 6, 8, 9, 10.

The second column is labeled f(x) with entries 5, 2, 5, 6, 8, 7, 18.

We have to determine

Using the equation for the line of best fit, what is a good approximation for x when f(x) = 30?

According to the question

The quadratic regression equation can be expressed as;

$\rm f(x) = 1.8x - 5.4$

Then,

The approximation for x when f(x) = 30 is,

$\rm f(x) = 1.8x - 5.4\\\\\rm 30= 1.8x - 5.4 \\\\ 1.8x= 30+5.4\\\\1.8x=35.4\\\\x = \dfrac{35.4}{1.4}\\\\x=19.67\\\\x=20 \ approx$

Hence, the equation for the line of best fit, the good approximation for x when f(x) = 30 is 20.

To know more about the Quadratic equation click the link given below.

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3 years ago

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Kamila [148]

Answer:

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Step-by-step explanation:

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3 years ago

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MrMuchimi

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3 years ago

clark made a model of his house. his house is 30 1/2 feet long. the dimensions of the model were 1/25 the dimensions of clarks a

balandron [24]

Answer:

1.22 feet, or 1 11/50 ft

Step-by-step explanation:

Find 1/25 th of 30 1/2 feet:

1 61 ft

----- * ---------- = 1.22 feet, or 1 11/50 ft

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The length of the model is 1.22 feet, or 1 11/50 ft

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3 years ago

Sherman has two sequences . The first sequence is described by the explicit rule f(n) = 15n + 4 and the second sequence is descr

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Answer:

Step-by-step explanation:

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f(1) = 15(1)+4

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S20 = 20/2{2(19)+(20-1)15)

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For the explicit function

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f(1) = 4(1)+15

f(1) = 19

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Common difference d = f(2)-f(1)

f(2) = 4(2)+15

f(2) = 23

d = 23-19

d = 4

Sum of nth term of an AP = n/2{2a+(n-1)d}

S20 = 20/2{2(19)+(20-1)4)

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S20 = 10(38+76)

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Sum of the 20th terms is 1140

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3 years ago