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andre [41]
1 year ago
5

An automobile tire manufacturer collected the data in the table relating tire pressure X (in pounds per square inch) andmileage

(in thousands of miles). Use quadratic regression on a graphing utility to find the quadratic function f(x) that bestfits the datax Mileage28 4530 5032 5634 5130 41f(x)=k+x+O(Round to three decimal places as needed.)

Mathematics
1 answer:
kaheart [24]1 year ago
4 0

Step 1

Graph the function using the values in the table

Step 2

Find the quadratic function that best fits the data set from the graph

\begin{gathered} f(x)=-0.517857x^2+33.3929x-484.343 \\ To\text{ 3 d.p, f(x) = -0.}518x^2+33.393x-484.343 \end{gathered}

Hence,

\text{f(x) = -0.}518x^2+33.393x-484.343

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Subtract 8 y^2 − 5 y + 7 from 2 y^2 + 7 y + 1 1 <br><br> The answer is: −6y ^2 +12y+4
lys-0071 [83]

Answer:

\large\boxed{-6y^2+12y+4}

Step-by-step explanation:

(2y^2+7y+11)-(8y^2-5y+7)\\\\=2y^2+7y+11-8y^2-(-5y)-7\\\\=2y^2+7y+11-8y^2+5y-7\qquad\text{combine like terms}\\\\=(2y^2-8y^2)+(7y+5y)+(11-7)\\\\=-6y^2+12y+4

4 0
3 years ago
Round to nearest thousandth!! (3 decimal places) photo attached
aliina [53]

Answer:

<em>Probability point lies on shaded region: ( About ) 0.294</em>

Step-by-step explanation:

<em>~ If we are to find the probability, we must find the area of the shaded figure, over that of the total area of this trapezoid ( whole figure ) ~</em>

Let us get the general dimensions. Firstly, the base of the trapezoid is composed of parts 5, 12, and 5. This is an isoceles trapezoid, meaning that the triangles ( shaded region )  are congruent to one another, including the altitudes. That would mean the non - shaded region is a parallelogram, provided altitudes are congruent and by definition of a trapezoid the bases are congruent.

1. Given the information above, the smaller base is congruent to the opposite side of the parallelogram created, so it is 12 units in length, the larger base being 12 + 5 + 5 ⇒ 22 units

2. By Pythagorean Theorem, if x ⇒ altitude of one of the triangles ( shaded region), 5^2 + x^2 = 13^2 ⇒ 25 + x^2 = 169 ⇒ x^2 = 144 ⇒ altitude = 12 units

3. Now we can find the area of this trapezoid by:  ( base + base/2 ) * altitude ⇒ ( 12 + 22 / 2 ) * 12 ⇒ ( 34 / 2 ) * 12 ⇒ ( 17 ) * 12 ⇒ 204 units^2

5. The shaded region is composed of two triangles, and knowing the triangles are ≅, let us solve for the area of one triangle and multiply that by 2 to find the total area of the shaded region. Area of triangle: 1/2 * base * altitude ⇒ 1/2 * 5 * 12 ⇒ 30 units^2. Area of shaded region: 30 * 2 = 60 units^2

<em>Probability point lies on shaded region: 60/204 ⇒ ( About ) 0.294</em>

8 0
3 years ago
Which is the slope of the like represented by the equation 2x+3y=-12
Burka [1]

slope = - \frac{2}{3}

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 2x + 3y = - 12 into this form

subtract 2x from both sides

3y = - 2x - 12 ( divide all terms by 3 )

y = - \frac{2}{3} x - 4 ← in slope- intercept form

with slope m = - \frac{2}{3}


4 0
3 years ago
Read 2 more answers
42+30=[BLANK](7+5)<br> 20 POINTS!!
qaws [65]

Answer:

42+30=72

7+5=12

72-12=60

Blank=60

Step-by-step explanation:

4 0
3 years ago
Cedric's favorite popcorn cost $0.34 cents per ounce.How much would he speand on 17 ounces of popcorn?
Olin [163]

Answer:

$5.78

Step-by-step explanation:

3 0
2 years ago
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