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3 years ago

What shows the correct substitution of the values a,b, and c from the equation 0=-3x^2-2x+6

Mathematics

1 answer:

Arlecino [84]3 years ago

7 0

When dealing with a quadratic equation, you usually assign the following name to the coefficients of the variables:

$ax^2+bx+c=0$

So, $a$ is the coefficient of $x^2$ , $b$ is the coefficient of $x$ and $c$ is the constant term.

In your case, the coefficient of $x^2$ is -3, so $a=-3$

The coefficient of $x$ is -2, so $b = -2$

The constant term is 6, so $c = 6$

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A pink crayon is made with 12 mL of red wax for every 5 mL of white wax.

Mars2501 [29]

Multiply 12 and 5 (by the same number) and add them to get whatever total ml of crayon wax is specified.
Ex: Total ml divided by 17, then find how many parts are red(12ml) and white(5ml)

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3 years ago

200 3. A technician charges $25 per hour plus $50 for a house call to repair home computers. Make a table and a graph to show th

Tju [1.3M]

Recall that for a home visit, the technician charges $50 regardless on the time spent in the repair.

So, to find out the rate, we should calculate the part that depends on the spent time, and the add 50. So for example, we know that the technician spents 1 hour. So, we multiply 1 times 25 and then add 50. So, 25*1 + 50 = 75, which is the rate for a 1-hour repair.

So, in general, if we know that the number of hours is x, we multiply x times 25 and then add 50. Then a table would like this:

x 25*x 25*x +50

1 25 75

2 50 100

3 75 125

4 100 150

Note that as the time increases by one hour, the fare increases by 25. This is an example of a direct variation, since as the independent variable increases (t

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7 months ago

a jug of orange juice is made by mixing 21 juice with 51 how many litres of water will be needed for 61 of juice?

Fofino [41]

Im just tryna get points

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3 years ago

What is the value of the rational expression 2x^2+5x+9/x^2+2x-1 when x=-2

Sergio039 [100]

Answer:

The value of the Rational expression when $x=-2$ is: $-7$

Step-by-step explanation:

For this exercise is important to remember:

When a negative number is raised to an even power, the result will be positive.
The multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-$

Then, given the following Rational expression:

$\frac{2x^2+5x+9}{x^2+2x-1}$

You need to follow these steps in order to find its value when $x=-2$ :

1. Substitute the given value of "x" ( $x=2$ ) into the expression:

$\frac{2(-2)^2+5(-2)+9}{(-2)^2+2(-2)-1}$

2. Evaluate and simplify:

$\frac{2(4)+5(-2)+9}{4+2(-2)-1}=\frac{8-10+9}{4-4-1}=\frac{7}{-1}=-7$

5 0

2 years ago

Read 2 more answers

The Genetics & IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceivi

Reika [66]

Answer: The test statistic needed to test this claim= 10.92

Step-by-step explanation:

We know that the probability of giving birth to a boy : p= 0.5

i..e The population proportion of giving birth to a boy = 0.5

As per given , we have

Null hypothesis : $H_0: p\leq0.5$

Alternative hypothesis : $H_a: p>0.5$

Since $H_a$ is right-tailed , so the hypothesis test is a right-tailed z-test.

Also, it is given that , the sample size : n= 291

Sample proportion: $\hat{p}=\dfrac{239}{291}\approx0.82$

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$ , where n is sample size , $\hat{p}$ is sample proportion and p is the population proportion.

$\Rightarrow\ z=\dfrac{0.82-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{291}}}\approx10.92$

i.e. the test statistic needed to test this claim= 10.92

Critical value ( one-tailed) for 0.01 significance level = $z_{0.01}=2.326$

Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .

[When test statistic value is greater than the critical value , then we reject the null hypothesis.]

Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.

7 0

2 years ago