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LUCKY_DIMON [66]
3 years ago
5

Pls help I’m so confused

Mathematics
1 answer:
gavmur [86]3 years ago
7 0

Answer:

its a

Step-by-step explanation:

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The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared ter
ra1l [238]

Answer:

The coefficient of the squared term of the equation is 1/9.

Step-by-step explanation:

We are given that the vertex of the parabola is at (-2, -3). We also know that when the <em>y-</em>value is -2, the <em>x-</em>value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.

Since we are given the vertex, we can use the vertex form:

\displaystyle y=a(x-h)^2+k

Where <em>a</em> is the leading coefficient and (<em>h, k</em>) is the vertex.

Since the vertex is (-2, -3), <em>h</em> = -2 and <em>k</em> = -3:

\displaystyle y=a(x-(-2))^2+(-3)

Simplify:

y=a(x+2)^2-3

We are also given that <em>y</em> = -2 when <em>x</em> = -5. Substitute:

(-2)=a(-5+2)^2-3

Solve for <em>a</em>. Simplify:

\displaystyle \begin{aligned} -2&=a(-3)^2-3\\ 1&=9a \\a&=\frac{1}{9}\end{aligned}

Therefore, our full vertex equation is:

\displaystyle y=\frac{1}{9}(x+2)^2-3

We can expand:

\displaystyle y=\frac{1}{9}(x^2+4x+4)-3

Simplify:

\displaystyle y=\frac{1}{9}x^2+\frac{4}{9}x-\frac{23}{9}

The coefficient of the squared term of the equation is 1/9.

3 0
4 years ago
You worked a total of 62 hours this week at a regular pay rate of $21.25. for any time worked past 40 hours, you receive additio
wolverine [178]
$21.50(40) + $31.88 (62-40)
$21.50(40) + $31.88(22)
$860 + $701.36
$1561.36
8 0
4 years ago
What key features can be identified from graphs of polynomials of higher degrees?
devlian [24]

Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.

Hope this helps :)

4 0
4 years ago
Given that g(t)=t2-t And f(x) =1+x<br> Find g(f(0)) + f(g(0))
marshall27 [118]

Answer:

The correct  answer is 1

Step-by-step explanation:

The composite function g(f(x)) will be given by;

(1+x)^2 -(1+x)

Substituting x with zero yields g(f(0)) =0.

On the other hand, the composite function f(g(t)) will be given by;

1+t^2-t

Substituting t with zero yields f(g(0)) =1

Finally, g(f(0)) + f(g(0)) =0+1 = 1.

7 0
3 years ago
It took Leo 3.5 hours to complete a route walking at a rate of 4.2 mph. How long would it take Leo to complete the same route wa
dmitriy555 [2]
S = V*t 
3.5 hrs * 4.2 mph = 14.7 mi
t = S/V 
14.7 mi/ 2.8 mph = 5.25 hrs
3 0
4 years ago
Read 2 more answers
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