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wlad13 [49]
2 years ago
11

Y = x² + 6x + 3

Mathematics
1 answer:
olganol [36]2 years ago
7 0

Vertex<em> </em>is at \left(-3,-6\right)

<em>y-intercept</em> is 3.

The parabola <em>opens up</em>.

Step-by-step explanation:

The graph of the equation is hereby attached in the answer area.

Vertex is the point on the parabola where the graph crosses its axis of symmetry. The axis of symmetry here(x =-3), is shown with the dotted line in the graph attached.

<em>y-intercept </em>is defined as the value of y where the graph crosses the y-axis. In other words, when x=0. Putting

And, the graph opens up as shown the graph figure as well. It is also evident from the co-efficient of x in the given equation y =x^{2} + 6x + 3. Here, co-efficient of

So, vertex<em> </em>is at \left(-3,-6\right)

<em>y-intercept</em> is 3.

The parabola <em>opens up</em>.

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Which of the following best describes the graph above?
Levart [38]

Answer:

The answer you are looking for is B) Function only.

Step-by-step explanation:

A function graph would mean that each x value corresponds to one y value, in a function multiple x values can have the same output but one x value cannot have more than one output.

A relative graph means each x value has their own unique output value and each x value (f(x)) has one output but cannot share that output with any other x value.

In this case x=5 which means it can only be a function.

Hope this helps!

4 0
3 years ago
Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resor
34kurt

Answer:

a) Equation for Snow Dome Ski Resort:

I_s = 65+t

Equation for Mt. Winterpark Ski Resort:

I_m = 74+\frac{t}{2}

b) After 19 hours, Snow dome will have more snow.

Step-by-step explanation:

Given that:

Initial snow at Snow Dome Ski Resort = 65 inches

Snowing rate at Snow Dome Ski Resort = 1 inch per hour

Initial snow at Mt. Winterpark Ski Resort = 74 inches

Initial snow at Mt. Winterpark Ski Resort = \frac{1}{2} inch per hour

a) To write equations that show amount of snow at each resort.

Let the time in hours be represented by t.

Snow increased in t hours by snowing at Snow Dome Ski Resort = 1\times t = t inches per hour

Snow increased in t hours by snowing at Mt. Winterpark Ski Resort = \frac{1}{2}\times t = \frac{t}{2} inches per hour

Equation for Snow Dome Ski Resort:

I_s = 65+t

Equation for Mt. Winterpark Ski Resort:

I_m = 74+\frac{t}{2}

b) Time at which Snow Dome has more snow.

Using the above equations, we can write the following inequality:

65+t>74+\dfrac{t}{2}\\\Rightarrow t-\dfrac{t}{2}>74-65\\\Rightarrow \dfrac{t}{2}>9\\\Rightarrow t>18\ hours

After 18 hours have passed, they will have equal amount of snow.

After 19 hours, Snow dome will have more snow.

7 0
2 years ago
Explain how to find the square root of 100. Explain why you use the underlined + sign.
finlep [7]

Answer:

±10

Step-by-step explanation:

so what squared is 100?

10. but also -10.

10*10 = 100, and -10*-10 is also 100.

therefore, sqrt(100) has two solutions, which are positive or negative 10, and that's the application of ±.

7 0
3 years ago
Read 2 more answers
What expression is equivalent to
Anna [14]

Answer:

25z^{4} + 9z² + 4

Step-by-step explanation:

Using the rule of exponents

a^mb^n)^{p} = a^{mp}b^{np}

Given

(5z^2+3z+2)^{2}

= 5²z^{2(2)} + 3²z² + 2²

= 25z^{4} + 9z² + 4

8 0
3 years ago
Whats the answer to -6 = 3/2z​
Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

-6=3/2z

-12z=3

z=-4

7 0
2 years ago
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