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Radda [10]
4 years ago
9

The ratio of a model car to the size of an actual car is 1:40. If the model is 4.5 inches long, what is the length of the full s

ize car in inches and in feet?
Mathematics
1 answer:
musickatia [10]4 years ago
5 0
4.5x40=
4x40=180
.5x40=20
180+20=200
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Use the quadratic formula to solve the equation 2x^2+2x-4=0
const2013 [10]

Answer:

<h2>x = -2 or x = 1</h2>

Step-by-step explanation:

The quadratic formula for the quadratic equation ax² + bx + c = 0:

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

2x^2+2x-4=0\qquad\text{divide both sides by 2}\\\\x^2+x-2=0

a=1,\ b=1,\ c=-2

Substitute:

x=\dfrac{-1\pm\sqrt{1^2-4(1)(-2)}}{2(1)}=\dfrac{-1\pm\sqrt{9}}{2}=\dfrac{-1\pm3}{2}\\\\x_1=\dfrac{-1-3}{2}=\dfrac{-4}{2}=-2\\\\x_2=\dfrac{-1+3}{2}=\dfrac{2}{2}=1

4 0
3 years ago
Use the given functions to find f (g(x)), and give the restrictions on x.
torisob [31]

Answer:

f(g(x)) = \frac{10x-9}{3 + 3x}

Step-by-step explanation:

Given

f(x) = \frac{1}{x} - 3

g(x) = \frac{3}{x} + 3

Required

Find f(g(x))

If: f(x) = \frac{1}{x} - 3

Then:

f(g(x)) = \frac{1}{3/x + 3} -3

Solve the denominator (take LCM)

f(g(x)) = \frac{1}{\frac{3+3x}{x}} -3

f(g(x)) = \frac{x}{3 + 3x} - 3

It can be solved further as:

f(g(x)) = \frac{x-3(3 + 3x)}{3 + 3x}

f(g(x)) = \frac{x-9 + 9x}{3 + 3x}

f(g(x)) = \frac{10x-9}{3 + 3x}

4 0
3 years ago
What expressions are equivalent to 4(4a+5) which 3 is correct?
Effectus [21]
The answer is a,c, and d
7 0
3 years ago
Ryan orders a pizza with a 20 inch diameter and asks for a cheese stuff crust along its border . The cheese filled border measur
Kitty [74]
C = pi x d
So the border is about 3.1 x 20 = 62 inches
5 0
3 years ago
Which of the following is not a correct form of the quadratic function?
aleksklad [387]

Answer:

The squared form is not a correct form of the quadratic function.

Step-by-step explanation:

Given some forms of quadratic equation. we have to choose the form which is not correct of the quadratic equation.

As the general form and the standard form of quadratic equation is

y=ax^2+bx+c where a,b and c are constant.

Also, the vertex form is

y=m(x-a)^2+b where (a,b) is vertex.

Only the three forms of quadratic equation exist. No other form like squared form exist.

Hence, the squared form is not a correct form of the quadratic function.

3 0
4 years ago
Read 2 more answers
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