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3 years ago

Which equation represents a quadratic function with a leading coefficient of 2 and a constant term of –3?

Mathematics

1 answer:

Norma-Jean [14]3 years ago

5 0

Answer:

D . f(x) =2x²+3x-3

Step-by-step explanation:

Given the equation as

f(x)=2x²+3x-3

The leading coefficient is in the term with the highest power , x², which is 2

The constant term is -3

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Degrees Fahrenheit = -31
Formulas and temperature converter are here:
http://www.1728.org/convtmp2.htm

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3 years ago

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3 years ago

Read 2 more answers

Determined to find the slope (1 7K), and (-3,5K)

Helga [31]

Answer: $\dfrac{K}{2}$ .

Step-by-step explanation:

As we know ,

The slope of a line that passes through $(x_1,y_1)$ and $(x_2,y_2)$ is given by :

$\dfrac{y_2-y_1}{x_2-x_1}$

The slope of a line that passes through (1 , 7K), and (-3,5K) =

$\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}$

Hence, the slope of the given line is $\dfrac{K}{2}$ .

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2 years ago

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

Solution: 

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

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3 years ago

Triangle WXY has coordinates W(1, 4), X(1, 1), and Y(4, 1). Which of the following sets of points represents a dilation of trian

Dmitrij [34]

The answer is the second option, option B, which is: B. W'(2,8), X'(2,2), Y'(8,2)
 The explanation is shown below:
You have the Triangle WXY has coordinates W(1,4), X(1,1), and Y(4,1) and the Triangle of the option B has coordinates W'(2,8), X'(2,2), Y'(8,2). As you can notice, the coordinates of the new triangle are the result of multiply the coordinates of the original triangle by a scale of factor of 2. Therefore, in other words, the Triangle WXY was dilated with a scale of factor of 2.

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2 years ago