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3 years ago

Can someone clearly and correctly work out and show me how to answer QUESTION 19 AND 20??

Mathematics

1 answer:

Rudiy273 years ago

6 0

Is this a simultaneous equation question?

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The following graph represents the hourly commission of a home appliance salesperson, y, based on the number of salespeople that

grandymaker [24]

We have been given graph of a downward opening parabola with vertex at point $(6.5,42.25)$ . We are asked to write equation of the parabola in standard form.

We know that equation of parabola in standard form is $f(x)=ax^2+bx+c$ .

We will write our equation in vertex form and then convert it into standard form.

Vertex for of parabola is $y=a(x-h)^2+k$ , where point (h,k) represents vertex of parabola and a represents leading coefficient.

Since our parabola is downward opening so leading coefficient will be negative.

Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:

$0=-a(0-6.5)^2+42.25$

$0=-a(42.25)+42.25$

$-42.25=-a(42.25)+42.25-42.25$

$-42.25=-42.25a$

$a=1$ Divide both sides by $-42.25$

So our equation in vertex form would be $f(x)=-(x-6.5)^2+42.25$ .

Let us convert it in standard from.

$f(x)=-(x^2-13x+42.25)+42.25$

$f(x)=-x^2+13x-42.25+42.25$

$f(x)=-x^2+13x$

Therefore, the equation of function is standard form would be $f(x)=-x^2+13x$ .

3 0

3 years ago

X=-3y-5 3x+9y=7 how can u solve this?

pentagon [3]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

HELPPPPPPPPPPPPPPPPPPPPPPP

ale4655 [162]

Answer:

The answer is 50

Step-by-step explanation:

1) multiply 6 by 7

2) multiply 4 by 2

3) add the products together

6 0

3 years ago

Read 2 more answers

On Wednesday 72% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought

elena-s [515]

Answer: 180 people

I hope i helped you! I wish you luck on the test!

6 0

3 years ago

The population of a bacteria colony is growing exponentially, doubling every 6 hours. If there are 150 bacteria currently presen

marusya05 [52]

Answer:

If rounded to the nearest 10 bacteria, then it would be 500 bacteria.

Step-by-step explanation:

First multiply 150 by two in order to get 300, that leaves 4 hours to figure out. From there you can figure out the rest by seeing that 4 is 2/3 of 6. I converted it into the decimal number .66. Multiply 300 by .66 to get 198 and then add it to 300 to get 498. Then just round it up to the nearest 10 bacteria which leaves you with the final answer of 500 bacteria.

8 0

3 years ago