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Korvikt [17]
2 years ago
9

Solve for d. 2d+3=7d+18

Mathematics
2 answers:
Vladimir [108]2 years ago
6 0
Answer: -3.

Explanation:
2(-3)+3=7(-3)+18
-6+3=-21+18
-3=-3
algol [13]2 years ago
5 0

Answer: d = -3

Step-by-step explanation:

2d+3=7d+18

-5d=15

d=-3

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3 years ago
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Brrunno [24]

Answer:

Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1

Step-by-step explanation:

1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5

2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.

The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)

3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.

Now, formula for line of symmetry is; x = -b/2a

Thus; -b/2a = -0.5 or -b/2a = -1/2

Thus, b = 1 and a = 1

Our first and second terms will now be;

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