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4 years ago

What is the value of the discriminant for the quadratic equation -3=-x^2+2x? discriminant =b^2-4ac

Mathematics

2 answers:

Elena L [17]4 years ago

9 0

Answer:

Step-by-step explanation:

$-x^2+2x=-3\qquad\text{add 3 to both sides}\\\\-x^2+2x+3=0\\\\a=-1,\ b=2,\ c=3\\\\\text{Substitute to}\ D=b^2-4ac:\\\\D=2^2-4(-1)(3)=4+12=16$

Paul [167]4 years ago

6 0

Answer:

Discriminant = 16

Step-by-step explanation:

We have the following expression: -3 = -x^2 + 2x

Organizing the expression, we have: x^2 - 2x -3 = 0

We know that for an equation of the type: ax^2 + bx + c = 0, the discriminant is: b^2-4ac

From our equation we know that a=1, b=-2, and c=-3.

Then Discriminant = (-2)^2 - 4(1)(-3)

Discriminant = 4 +12 = 16

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the polynomial function i (t)=-0.1t^2+1.6t represents the yearly income (or loss) form a real estate investment where t is time

Natali [406]

Factor out 0.1t (t + 16)
t + 16 = 0
Subtract 16 from both sides
t = -16
After 16 years the income begins to decline

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3 years ago

If cost of 12 pens is ₹134, then what will be the cost of 5 such pen( please explain by method, don't answer directly)

sertanlavr [38]

First you need to divide ₹134 by 12 to find the cost of each pen.

$\frac{134}{12} = \frac{67}{6}$

Multiply the cost of each pen by 5 to find the cost of 5 pens.

$( \frac{67}{6} ) \times 5 = \frac{335}{6}$

≈ ₹55.8 (correct to 1 decimal place)

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3 years ago

A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial gro

Ivenika [448]

Answer:

The P-value is < significance value ( 0.05 ) hence we reject the Null hypothesis ( i.e. There is an association between the race and average age at marriage )

Step-by-step explanation:

Conducting an F-test to determine association between race and average age at marriage

step 1 : State the hypothesis

H0 : ц1 = ц2 = ц3

Ha : ц1 ≠ ц2 ≠ ц3

step 2 : determine the mean square between

Given mean value of all groups = 23.33

SS btw = 113*(25.39 - 23.33)² + 904*(22.99 - 23.33)² + 144*(23.89 - 23.33)^2 = 113(4.2436) + 904(0.1156) + 144(0.3136)

= 629.1876

hence: df btw = 3 - 1 = 2

df total = 1161 - 1 = 1160

df within = 1160 - 2 = 1158

SS within = 36.87*1158 = 42695.46

Therefore the MS between = 629.19 / 2 = 314.60

The F-ratio = 314.59 / 36.87 = 8.53

using the values for Btw the P-value = 0.00021

The P-value is < significance value ( 0.05 ) hence we reject the Null hypothesis ( i.e. There is an association between the race and average age at marriage )

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3 years ago

Fill in the blanks below.

Dmitry_Shevchenko [17]

Answer:

a) Slope of the line m = ∞

b) Slope of the line m =0

Step-by-step explanation:

Explanation:-

Step(i):-

Given points are ( 7,7) and (7,-8)

Slope of the line