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3 years ago

Show work step-by-step:

Mathematics

1 answer:

Verizon [17]3 years ago

3 0

Answer: (a) 8 (b) 12

Step-by-step explanation:

Given : The number of different kinds of soups = 6

The number of different kinds of salad = 2

(a) If you are having either soup or salad, then the total number of choices you have :-

$6+2=8$

Hence, the total number of choices you have = 8

(b) If you are having both soup and salad, then the number of choices you have :-

$6\times2=12$

Hence, the total number of choices you have = 12

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3 years ago

Part 1: What mistake did AJ make in the graph?

grigory [225]

Answer:

Part 1) AJ drawn the parabola opening upwards, instead of drawing it opening downwards

Part 2) see the explanation

Step-by-step explanation:

Part 1) What mistake did AJ make in the graph?

we have

$f(x)=-(x+2)^2-1$

This is the equation of a vertical parabola written in vertex form

The parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The vertex is the point (-2,-1)

therefore

AJ drawn the parabola opening upwards, instead of drawing it opening downwards

Part 2) Evaluate any two x-values (between -5 and 5) into AJ's function. Show your work. How does your work prove that AJ made a mistake in the graph?

take the values x=-4 and x=4

For x=-4

substitute the value of x in the quadratic equation

$f(x)=-(-4+2)^2-1\\f(x)=-5$

For x=4

substitute the value of x in the quadratic equation

$f(x)=-(4+2)^2-1\\f(x)=-37$

According to AJ's graph for the value of x=-4 the function should be positive, however it is negative and for the value of x=4 the function should be positive and the function is negative

therefore

AJ made a mistake in the graph

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3 years ago

What is the solution to this equation?

Nuetrik [128]

Answer:

I think it's A) x= - 2

Hope this helps..

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4 years ago