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3 years ago

Find the area!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Alika [10]3 years ago

8 0

I need more information pls

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Complete a piecewise function that describes the graph.

trapecia [35]

Answer:

$y=\left \{ \begin{array}{l}-x^2-4x-1,\ x$

Step-by-step explanation:

Left part of the graph is the graph of the parabola passing through the points (-2,3), (-3,2) and (-4,-1). If the equation of the parabola is $y=ax^2+bx+c,$ then

$3=a\cdot (-2)^2+b\cdot (-2)+c\Rightarrow 3=4a-2b+c\\ \\2=a\cdot (-3)^2+b\cdot (-3)+c\Rightarrow 2=9a-3b+c\\ \\-1=a\cdot (-4)^2+b\cdot (-4)+c\Rightarrow -1=16a-4b+c$

Subtract first two equations and last two equations:

$-1=5a-b\\ \\-3=7a-b$

Suybtract these two equations:

$-2=2a\Rightarrow a=-1$

So $-1=5\cdot (-1)-b\Rightarrow b=-5+1=-4$

Substitute into the first equation:

$3=4\cdot (-1)-2\cdot (-4)+c\Rightarrow c=3+4-8=-1$

The equation of the parabola is $y=-x^2-4x-1$

The right part of the graph is translated 1 unit to the right and 1 unit down graph of the function $y=\dfrac{1}{2}|x|$ , so it has the equation $y=\dfrac{1}{2}|x-1|-1$

Hence, the piece-wise function is

$y=\left \{ \begin{array}{l}-x^2-4x-1,\ x$

6 0

3 years ago

Ana played 555 rounds of golf, and her lowest score was an 808080.

laiz [17]

Answer:

Step-by-step explanation:

7 0

3 years ago

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Jesse makes a large wooden picture frame in the shape of a rectangle with a diagonal brace on the back, as shown in the diagram.

Varvara68 [4.7K]

The answer is H.60ft

6 0

3 years ago

Which product is positive a is 2/5 -8/9 -1/3 -2/7 b is -2/5 8/9 -1/3 -2/7 c is 2/5 8/9 1/3 -2/7 d is -2/5 -8/9 1/3 2/7

PIT_PIT [208]

Answer:

(D)

Step-by-step explanation:

A. $\frac{2}{5}{\times}\frac{-8}{9}{\times}\frac{-1}{3}{\times}\frac{-2}{7}=\frac{-32}{945}$ which is a negative number, thus Option A is incorrect.

B. $\frac{-2}{5}{\times}\frac{8}{9}{\times}\frac{-1}{3}{\times}\frac{-2}{7}=\frac{-32}{945}$ which is a negative number, thus Option B is incorrect.

C. $\frac{2}{5}{\times}\frac{8}{9}{\times}\frac{1}{3}{\times}\frac{-2}{7}=\frac{-32}{945}$ which is a negative number, thus option C is incorrect.

D. $\frac{-2}{5}{\times}\frac{-8}{9}{\times}\frac{1}{3}{\times}\frac{2}{7}=\frac{32}{945}$ which is a positive number, thus option D is correct.

7 0

4 years ago

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What is the factor of 36

Olegator [25]

The square root rounded up to the nearest integer, 6.
testing the values 1 through 6 for division into 36 we find factors of 36 which are : (1, 36)
(2, 18)
(3, 12)
(4, 9)
(6,6)
or in other words the sets would be : 1, 2 , 3, 4 , 6 , 9 , 12 , 18 , 36

4 0

3 years ago

Read 2 more answers