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MrRa [10]
3 years ago
14

What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

B. (3,2) I literally just took the test. I hope this helps!

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Engler company purchases a new delivery truck for $55000. the sales taxes are $4000. the logo of the company is painted on the s
Nikolay [14]

Answer:

$60,890  is the cost of  new truck.

Step-by-step explanation:

Given :

Purchasing cost of truck =$55000.

Sales Tax=$4000

Painted logo cost = $1600

Safety testing cost =$290.

Then the Cost of truck can be determined by

= Purchase\  cost\  + \ Sales\  tax\ +\  painted \ logo\  cost\  +\  safety\  testing \ cost\\= 55,000+4000+1600+290\\= 60,890

3 0
3 years ago
Screenshot of question below
MaRussiya [10]
Area: 20 x 30 so 600
perimeter: 20 + 20 + 30 + 30 = 100
8 0
2 years ago
The price of a bag of candy is a linear function of the amount of candy in the bag. A bag containing 25 pieces costs $0.99 and a
OlgaM077 [116]

Answer:

About 152 pieces of candy

Step-by-step explanation:

Set up equal proportions to solve for the $5.99 bag.

We know that 24 pieces = .99, so

\frac{25 pieces}{.99 dollars} = \frac{x pieces}{5.99 dollars}

Make sure to keep the pieces on top, and the dollars on bottom (or vice versa). If your units are messed up, it will not work.

Cross-multiply.

25(5.99) = .99x

Simplify.

149.75 = .99x

Divide both sides by .99.

x = 151.26 = about 151 pieces of candy

7 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
kenny6666 [7]

Given:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

y=-29x^2+1388x-10040

To find:

The maximum amount of profit the company can make, to the nearest dollar.

Solution:

If a quadratic equation is f(x)=ax^2+bx+c, then the vertex is

Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.

We have,

y=-29x^2+1388x-10040

Here, a=-29,b=1388, c=-10040. Clearly, a<0. So, the vertex is the point of maxima.

-\dfrac{b}{2a}=-\dfrac{1388}{2(-29)}

-\dfrac{b}{2a}=-\dfrac{1388}{-58}

-\dfrac{b}{2a}\approx 23.931

Putting x=23.931 in the given equation, we get

y=-29(23.931)^2+1388(23.931)-10040

y=-16608.09+33216.228-10040

y=6568.138

The vertex is at (23.931,6568.138).

Therefore, the maximum profit is $6568.138 when x=23.931.

5 0
3 years ago
What is the vertex of the parabola defined by the equation
avanturin [10]

Answer: B. (2,2)

Step-by-step explanation:

The vertex of the parabola in the form (x-h)^2 = 4p(y-k) is (h, k).

7 0
1 year ago
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