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2 years ago

Need help plz step by step I need to study for a test!!

Mathematics

1 answer:

Sauron [17]2 years ago

7 0

Answer:

A. g(x) = 6*(1/3)ˣ

Step-by-step explanation:

g(x) = aˣ

x=-1 y=6*(1/3)⁻¹ = 6*3 = 18

x = 0 y = 6*1 = 6

x=1 y = 6*(1/3)¹ = 2

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Manuel has 15 goldfish. This is 6 more than Quinn has. How many goldfish does a Quinn have?

skad [1K]

If you were to subtract 6 from 15 you would see that Quinn would have 9 gold fish, 9+6= 15

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4 years ago

The area of a triangle is 225 in^2. If the width is 18 inches, find the height of the triangle

sergiy2304 [10]

$\textit{area of a triangle}=\cfrac{1}{2}\cdot b\cdot h\qquad 
\begin{cases}
b=\textit{base of triangle,}\\
\qquad \textit{may also be its width}\\
h=\textit{height of triangle}
\end{cases}
\\ \quad \\
b=width=18\qquad area=225
\\ \quad \\
225=\cfrac{1}{2}\cdot 18\cdot h\impliedby \textit{solve for "h"}$

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3 years ago

The position of a ball after it is kicked can be determined by using the function f left parenthesis x right parenthesis equals

Citrus2011 [14]

Answer:

When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.

Step-by-step explanation:

We are given that the height is given by $f(x)=-0.11x^2+2.2x+1$ . The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1 = 1.

To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that

$x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}$ .

In this scenario, the highest/lowest points is $c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise). Then, we can proceed as follows. [tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1$

We will complete the square for $x^2-20x$ . In this case b=-20, so

$f(x) = -0.11(x^2-20x+\frac{400}{4}-\frac{400}{4})+1 = -0.11(x^2-20x+100-100)+1$

We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then

$f(x) = -0.11(x^2-20x+100)+1+100*0.11 = -0.11(x^2-20x+100)+1+11 = -0.11(x-10)^2+12$

So, the highest point in the ball's trajectory is 12 feet.

5 0

4 years ago

Read 2 more answers

Write each fraction or mixed number as a decimal 7/20

horsena [70]

Answer:

$\large\boxed{\dfrac{7}{20}=0.35}$

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\dfrac{7}{20}=7:20=0.35\\\\\text{Use a calculator or long division}\\\\.\qquad\underline{0.35}\\.\ \ 20|7\\.\ \ \ \ \ \underline{\ 0}\\.\qquad70\\.\ \ \ \ \ \underline{\ 60}\\.\qquad100\\.\qquad\underline{100}\\.\qquad==$

$\bold{METHOD\ 2}\\\\\dfrac{7}{20}=\dfrac{7\cdot5}{20\cdot5}=\dfrac{35}{100}=0.35$

7 0

4 years ago

What function represents this graph??

mr Goodwill [35]

The required piecewise function that represents the graph is given as:

$f(x)=\left \{ {{y = -3x-10} \atop y=-\frac{1}{2}x-3 } \atop y=-2x-6 }} \right.$

<h3>Piecewise functions</h3>

The graph consists of 3 lines with different equations and slopes. In order to determine the function it represents, we will create a piecewise function.

For the line crossing the negative x-axis

Using the coordinate points (-4, 2) and (-2, -4)

Slope = -6/2

Slope = -3

2 = -3(-4) + b
2 - 12 = b

b = -10

The equation of the line will be y = -3x-10

For the line crossing the negative y-axis

Using the coordinate points (-2, -4) and (2,-2)

Slope = 2/4

Slope = 1/2

-2 = 1/2(2) + b
-2 - 1 = b

b = -3

The equation of the line will be y = -1/2x-3

For the line crossing the positive x-axis

Using the coordinate points (2, -2) and (3, 0)

Slope = 2/1

Slope = 2

0 = 2(3) + b
0 - 6 = b

b = -6

The equation of the line will be y = 2x-6

The required piecewise function that represents the graph is given as:

$f(x)=\left \{ {{y = -3x-10} \atop y=-\frac{1}{2}x-3 } \atop y=-2x-6 }} \right.$

Learn more on piecewise function here: brainly.com/question/18499561

#SPJ1

3 0

2 years ago