Simplify (3x + 5) + (2x - 9) - (4x + 3).

Answers

Answer 1

Answer: The answer is x-7
(3x+2x-4x)+(5+-9-3)
(5x-4x)+(-4-3)
(1x)+(-7)
x-7

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The width of a rectangle is five less than twice the length. What is the minimum area of the rectangle?

Answers

W=2L-5

-------------

A=L*W

=L(2L-5)

=2L²-5L

-------------

dA/dL=4L-5

When dA/dL=0,

4L-5=0

4L=5

L=5/4

----------------

When L=5/4

A=5/4*(2*(5/4)-5)

=5/4*(10/4-20/4)

=5/4*((-10)/4)

=5/4*(-5/2)

=-25/8

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*You may have been given a badly written out question. The answer doesn't make sense.

Data were collected on the distance a home is located from a major city, x (in miles), and the selling price of the home, y (in thousands of dollars). The scatterplot of the data yielded a linear equation, y =31.0+3.12x. Identify the slope and y-intercept of the regression equation.

Answers

Answer:

Step-by-step explanation: hey you know whats crazy we are doing the same problem i just did it so cross multiply y and x then divide b 100 and you will get your answer you can also use a couculator we us e them is school

Final answer:

The slope and y-intercept of the regression equation 'y =31.0+3.12x' are 3.12 and 31.0, respectively. It suggests for every mile increase in distance from a major city, the price of a home increases by $3,120 and a home in the city costs $31,000 as base price.

Explanation:

In your regression equation, y =31.0+3.12x, 'y' represents the selling price of a home and 'x' is the distance it is located from a major city. The slope of the line, represented by 3.12, translates to every mile increase in distance from a major city, there's an increase of $3,120 in the home price. The y-intercept is 31.0, which means when the distance from a major city is zero miles (i.e., the home is in the city), the base price of the home is $31,000.

Learn more about Linear Regression here:

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On a coordinate plane, a parabola opens up in quadrant 1. It goes through (2, 12), has a vertex at (5, 3), and goes through (8, 12). Write the equation of the function whose graph is shown. y = (x + )2 +.

Answers

Answer:

Step-by-step explanation:

You have a vertex coordinate and 2 points. In order to write the equation for that parabola, you only need the vertex and one point. We will fill in the following work form of the parabola:

$y=a(x-h)^2+k$ , where h and k are from the vertex and x and y are from the point. Filling in:

$12=a(8-5)^2+3$ and

$12=a(3)^2+3$ and

$12=9a+3$ and

9 = 9a s0

a = 1.

Now we can write the equation, filling in a, the only unknown we had, which we now know is 1:

$y=1(x-5)^2+3$

Answer:

y = 1(x + -5)2 + 3

Step-by-step explanation:

Which expression is equal to 2√54 −4√24? ? A. √6 B. −√ 6 C. −√116 D. -26√

Answers

Answer:

D : - 2 $√(6)$

Step-by-step explanation:

using the rule of radicals

• $√(ab)$ = $√(a)$ × $√(b)$

given

2 $√(54)$ - 4 $√(24)$

simplifying the radicals

$√(54)$

= $√(9(6))$

= $√(9)$ × $√(6)$

= 3 $√(6)$

$√(24)$

= $√(4(6))$

= $√(4)$ × $√(6)$

= 2 $√(6)$

Then

2 $√(54)$ - 4 $√(24)$

= 2(3 $√(6)$ ) - 4(2 $√(6)$ )

= 6 $√(6)$ - 8 $√(6)$

= - 2 $√(6)$

Please help me. It's urgent

Answers

Answer:

a) 7/5

Step-by-step explanation:

$y-(y-1)/(2)=1-(y-2)/(3) \nThrough\ the\ butterfly\ method\ of\ resolving\ denominators\ ,\n(2y-(y-1))/(2) = (3-(y-2))/(3) \n(2y-y+1)/(2) = (3-y+2)/(3) \n(y+1)/(2) =(5-y)/(3) \n3(y+1)=2(5-y)\n3y+3=10-2y\n3y+2y=10-3\n5y=7\ny=(7)/(5)$

A spherical balloon is inflating with helium at a rate of 6464piπ StartFraction ft cubed Over min EndFraction ft3 min. How fast is the balloon's radius increasing at the instant the radius is 22 ft? How fast is the surface area increasing?

Answers

Answer:

the surface area will increase 16 feet per minute

Step-by-step explanation:

Allow me to revise your question for a better understanding.

A spherical balloon is inflating with helium at a rate of 64π Start Fraction ft cubed Over min End Fraction ft3 min. How fast is the balloon's radius increasing at the instant the radius is 2 ft? How fast is the surface area increasing?

My answer:

Given that:

$(dV)/(dt) = 64\pi \frac{\text{ ft}^3}{\text{min}}$ (1)