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2 years ago

What are the values of a, b, and c in the quadratic equation 0 = = x2 – 3x – 2? a=1 h=30-2

Mathematics

1 answer:

jek_recluse [69]2 years ago

7 0

Answer:

a = 1
b = -3
c = -2

Step-by-step explanation:

The general form of a quadratic equation is often written as ...

ax² +bx +c = 0

The references to "a", "b", and "c" are to the coefficients in this form. Comparing this to your equation ...

x²-3x -2 = 0

we see that the coefficient of x², is 1, so a=1; the coefficient of x is -3, so b=-3, and the constant is -2, so c=-2.

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The equation y = 0.002x - 0.30 can be used to determine the approximate cost, y in dollars, of producing x items. How many items

ArbitrLikvidat [17]

Answer:

193650

Step-by-step explanation:

Since the cost must be no more than 387$, you can substitute that number instead of y to get 387 = 0.002x - 0.30. you can add 0.30 to both sides to get 387.3 = 0.002x

Then you can divide both sides by 0.002 to get 387.3/0.002 = 193650

5 0

2 years ago

RESTAURANTS In 2012, a popular pizza franchise had 2483 restaurants. In 2017, there were 2606 franchised

lisabon 2012 [21]

y - 2483 = 24.6(x - 2)

Let x represent the number of years after 2010

Let y represents the number of restaurants in x years

2012 is 2 years after 2010

2017 is 7 years after 2010

Number of restaurants owned by RESTAURANTS in 2012 = 2483

This can be represented in coordinate form as (2, 2483)

Number of restaurants owned by RESTAURANTS in 2017 = 2606

This can be represented in coordinate form as (7, 2606)

The equation of a line in point-slope form is:

$y-y_{1} = m(x - x_{1} )$

where m represents this slope, and is calculated as:

$m = \frac{y_{2} - y_{1} }{x_2-x_1} \\m = \frac{2606-2483}{7-2} \\m = \frac{123}{5} \\m = 24.6$

Substitute x₁ = 2, y₁ = 2483, and m = 24.6 into the point-slope equation

The equation in point-slope form becomes:

y - 2483 = 24.6(x - 2)

Learn more here: brainly.com/question/6497976

5 0

2 years ago

What is the value of k in the product of powers below? 10 Superscript negative 3 Baseline times 10 times 10 Superscript k Baseli

poizon [28]

Answer: -1

Step-by-step explanation:

10^-3 x 10 = 10^-2

But you need it to be 1/10^3

So 10^-2 x 10^-1 = -2 + -1

= 10^-3

In order to put it in simplest form, the power needs to be positive.

So = 1/10^3

Meaning the missing power is -1

7 0

2 years ago

Read 2 more answers

Research reports indicate that surveillance cameras at major intersections dramatically reduce the number of drivers who barrel

Tju [1.3M]

Answer:

(a)Increasing

(b)t=1.34 years

Step-by-step explanation:

Given the function

N(t) = 5.85t³-23.43t²+45.06t+69.5, 0≤t≤4

(a)N(0)=5.85(0)³-23.43(0)²+45.06(0)+69.5=69.5

N(4)=5.85(4)³-23.43(4)²+45.06(4)+69.5=249.26

A function is increasing whenever x₁≤x₂, f(x₁)≤f(x₂).

Since in the interval (0,4), N(0)<N(4), we say the function is increasing.

(b)The number of communities using surveillance cameras at intersections changed least rapidly at the point where the derivative of the function is zero.

N(t) = 5.85t³-23.43t²+45.06t+69.5

N'(t)=17.49t²-46.86t+45.06

If N'(t)=0,

17.49t²-46.86t+45.06=0

Solving the quadratic equation gives the values of t as:

t=1.3396-0.8842i

t=1.3396+0.8842i

We take the Real Part as our Minimum value,

The time when number of communities using surveillance cameras at intersections changed least rapidly is:

t=1.34(to 2 decimal places)

(c)Rate of Increase using a security camera/year.

N'(t)=17.49t²-46.86t+45.06

N'(t)=17.49(1)²-46.86(1)+45.06

=15.69

≈16 cameras/year

7 0

2 years ago

You are putting 30 different bolts into bins according to the size of the bolt. So far, you have successfully put 10 bolts into

Elan Coil [88]

Within 1% , 0.00333 % of the job is complete.

Step-by-step explanation:

The question requires you to find 1/3 of 1%

This is equal to 1/3*1% = 1/3 * 0.01 = 0.00333 % of the job is complete.

Learn More

Percentage : brainly.com/question/1034126

Keyword : job, percent

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6 0

2 years ago

Read 2 more answers