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3 years ago

Determine whether the question

1 answer:

4 0

"How much did your classmates typically spend on music downloads last year?" is a statistical question, and the units would be both the number of students and how many downloads each individual bought.

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f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2

iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4, $\infty$ )

g(x)= $2x^2+8x+6=2(x^2+4x+3)$

$g(x)=0$

$2(x^2+4x+3)=0$

$x^2+4x+3=0$

$x^2+3x+x+3=0$

$x(x+3)+1(x+3)=0$

$(x+1)(x+3)=0$

$x+1=0\implies x=-1$

$x+3=0\implies x=-3$

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

$g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2$

$g(x)=2(x^2+4x)+6$

$g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6$

$g(x)=2(x+2)^2-2$

By comparing with the equation of parabola

$y=a(x-h)^2+k$

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2, $\infty$ )

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0

3 years ago

Multiply (x-3)(4x+2) using the distributive property.

asambeis [7]

$\text{The distributive property:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(x-3)(4x+2)=(x)(4x)+(x)(2)-(3)(4x)-(3)(2)\\\\=4x^2+2x-12x-6=4x^2-10x-6$

3 0

3 years ago

The lengths of the two sides of a triangle (not necessarily a right triangle) are 1.00 meters and 3.46 meters. The sine of the a

Hoochie [10]

Answer:

0.1228

Step-by-step explanation:

We use sine rule

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

where, in any triangle ABC, a is the side opposite ∠A, b is the side opposite ∠B and c is the side opposite ∠C.

Applying this to the question,

$\dfrac{1.00}{0.0355} = \dfrac{3.46}{\sin B}$

$\sin B = 3.46\times0.0355 = 0.12283 \approx 0.1228$

7 0

3 years ago

18% of what number is 46.8?

Rasek [7]

The answer is 260 have a good day.
I love it when people ask me these questions.

8 0

3 years ago

Read 2 more answers

Select strong association, weak association, or moderate association to correctly classify the correlation coefficient.

11Alexandr11 [23.1K]

Answers:

0.45 is a moderate association

0.95 and -0.8 are both strong association

0.10 is weak association

Explanation:

This is the interpreation of the correltaion coefficient:

1) The correlaion coefficient assesses the relationship between two variables in a scatter plot.

2) If the sign of the correlation coefficient is positive means that the two variables trend to grow or decrease in the same sense. This is an uphill line or curve: if variable X grows, variable Y grows, and if variable X decreases variable Y grows.

If the sign of the correlation coefficient is negative means that the two variables go in opposite direction. This is a downhill line or curve.

3) A correlation coefficient of +1 or -1 is a perfect association. The two variables are totally associated.

4) A correlation coefficient less that +1 but greater than 0.7 is a strong association. The same with a coefficite between - 0.7 and -1.

5) A correlation coefficient arroun +0.5 or -0.5 is a moderate association.

6) A correlation coefficient of 0 is a nill association.

7) A correlation coeffiicient between 0 and 0.3 is a weak association. The same when the correlation coefficient is between -3 and 0.

4 0

4 years ago

Read 2 more answers