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2 years ago

Graph the equation y=-x^2-2x+3 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

Mathematics

1 answer:

Advocard [28]2 years ago

3 0

Answer:

See below (along with attached graph)

5th point can be of personal choice

Step-by-step explanation:

X-intercepts/Roots

$y=-x^2-2x+3\\\\0=-x^2-2x+3\\\\0=-(x^2+2x-3)\\\\0=-(x+3)(x-1)\\\\x=-3,\: x=1\\\\(-3,0)\:and\:(1,0)$

Y-intercept

$y=-x^2-2x+3\\\\y=-(0)^2-2(0)+3\\\\y=3\\\\(0,3)$

Vertex

$x=-\frac{b}{2a}\\ \\x=-\frac{(-2)}{2(-1)}\\ \\x=\frac{2}{-2}\\ \\x=-1\\\\y=-x^2-2x+3\\\\y=-(-1)^2-2(-1)+3\\\\y=-1+2+3\\\\y=4\\\\(-1,4)$

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The professor of a business statistics class wanted to find out the average amount of time per week her students spent studying

zhenek [66]

Answer:

Cluster sample

Step-by-step explanation:

This is an example of a cluster sample. In a cluster sample, the examiner divides the population into groups (each one of these groups is called a cluster) and once the examiner has these clusters, takes one of them and recollects the data from ALL the members of that cluster. In this case, the teacher divided the class in 3 different groups and then selects one of these groups and asks the average amount of time per week he/she spent studying.

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3 years ago

Simplify the expression where possible. (r ^-3 s^2 t) ^4

ASHA 777 [7]

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3 years ago

A rectangle has a length of (6x+1) units and a width of (3x+1 units. Express the area of the rectangle as trinomial. Please I re

dimulka [17.4K]

whenever you have say a multiplication of a binomial or any polynomial, you can simply multiply each term of one by the other's terms, namely

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3 years ago

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Slav-nsk [51]

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4 years ago

73.7 is 55% of what number?

Vera_Pavlovna [14]

Answer:

a.) Let the total number be : x

∴(73.7÷x) ×100 = 55%

∴x= (73.7×100) ÷ 55

=> 7370÷55

∴x=134

Thus, Option-A.

----------------------------------------------------

b.) Let the percentage be : x

∴x= (46÷65) ×100

∴x= (0.707) × 100

∴x=70.7%

Thus, Option-B.

MARK AS BRAINLIEST.

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3 years ago