All categories

2 years ago

Which of the following functions best describes this graph?

Mathematics

1 answer:

sweet-ann [11.9K]2 years ago

8 0

Answer: A. y=x²-9x+20

Step-by-step explanation:

As we can see from the graph there are two x-intercepts: (4,0) (5,0)

The easiest way we can do, is we plug these two values into each of the choices.

A. y=x²-9x+20

(4, 0) YES

(5,0) YES

B. y=x²-8x+18

(4, 0) NO

(5, 0) NO

C. y=x²+9x+20

(4, 0) NO

(5, 0) NO

D. y=x²+x-12

(4, 0) NO

(5, 0) NO

Therefore, the answer should be y=x²-9x+20

Hope this helps!! :)

Please let me know if you have any questions

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3 years ago

What is the slope intercept form of the equation y+5= 4(x+8)

hram777 [196]

Answer:

$y=4x+27$

Step-by-step explanation:

we know that

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3 years ago

The length of a rectangular flower bed is 2ft longer than the width. If the area is 6ft, then what are the exact length and widt

Marizza181 [45]

Answer:

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

Step-by-step explanation:

Let's assume width of rectangle is w ft

The length of a rectangular flower bed is 2ft longer than the width

so,

length =w+2

$L=w+2$

now, we can find area

$A=L\times W$

now, we can plug it

$A=(w+2)\times w$

$A=w^2+2w$

we are given area =6

so, we can set it equal

and then we can solve for w

$w^2+2w=6$

$w^2+2w-6=0$

we can use quadratic formula

$ax^2+bx+c=0$

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

now, we can compare and find a,b and c

a=1 , b=2 , c=-6

$w=\frac{-2\pm \sqrt{2^2-4\cdot \:1\left(-6\right)}}{2\cdot \:1}$

$w=-1+\sqrt{7},\:w=-1-\sqrt{7}$

we know that dimension can never be negative

so, we will only consider positive value

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

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