Given the next quadratic function:

to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:

where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:

The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:

The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:
Answer:
2x+17
Step-by-step explanation:
-4y+8-3x+4y+9+5x
Combine like terms
-3x +5x -4y +4y +8+9
2x +0 +17
The Earth is a watery place. But just how much water exists on, in, and above our planet? About 71 percent of the Earth's surface is water-covered, and the oceans<span> hold about 96.5 percent of all Earth's water. Water also exists in the air as </span>water vapor<span>, in </span>rivers<span> and </span>lakes<span>, in icecaps and </span>glaciers<span>, in the ground as soil moisture and in </span>aquifers<span>, and even in you and your dog.</span>
Simply multiply 45 by 2 and you get your answer which is 90 cookies
Answer:
66.5 square feet
Step-by-step explanation:
We have to find the area of the doghouse which is in the shape of right trapezoid . that is, Substitute the values, we get, Hence, Area of of the doghouse which is in the shape of right trapezoid is 66.5 square feet.