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4 years ago

Worksheet 1.3

Mathematics

1 answer:

Lena [83]4 years ago

4 0

Answer:

<h2>50h miles</h2>

Step-by-step explanation:

For us to write a math expression for the problem, we will use the formula for calculating speed.

Speed is the change of distance of a body with respect to time.

Mathematically, Speed = Distance/Time

Distance = Speed * Time

If Lumpy drove for h hours at 50 mph, then Lumpy speed = 50mph and time = h hours.

Substituting the given parameters into the formula to get the distance;

Distance = 50mph * h hours

Distance = 50h miles

<em>Hence the math expression that modeled how far Lumpy drive is 50h miles</em>

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La oración 3+ (5 + 2) = (5 + 2) +3 muestra qué propiedad?

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The expression represents commutative property of addition

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3 years ago

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den301095 [7]

Answer:

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3 years ago

F(X) = 1<br> x(x-2)(2x+3)<br> What are the vertical and horizontal asymptotes

Umnica [9.8K]

Y=0

Why?

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3 years ago

List all possible rational roots. Then use synthetic division to confirm which rational roots exist:

Kisachek [45]

Answer:

$\boxed{(1) \, x = \, \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10; (2) \, x = -2}$

Step-by-step explanation:

2x³+ 6x² - x - 10 = 0

(1) Possible roots

The Rational Roots Theorem states that, if a polynomial has any rational roots, they will have the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

$\text{Possible rational root} = \dfrac{ p }{ q } = \dfrac{\text{factor of constant term}}{\text{factor of leading coefficient}}$

In your function, the constant term is -10 and the leading coefficient is 2, so

$\text{Possible root} = \dfrac{\text{factor of 10}}{\text{factor of 2}}$

Factors of 10 = ±1, ±2, ±5, ±10

Factors of 2 = ±1, ±2

$\text{Possible roots are } \large \boxed{\mathbf{x = \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10}}$

(2) Synthetic division

Rather than work through all 12 possibilities, I will do one that works.

$\begin{array}{r|rrrr}-2 & 2 & 6 & -1 & -10\\& & -4& -4 & 10\\& 2 & 2& -5 & 0\\\end{array}$

So, x = -2 is a root, and the quotient is 2x² + 2x - 5.

(3) Check for other rational roots

2x² + 2x - 5 = 0

D = b² - 4ac =2²- 4(2)(-5) = 4 + 40 = 44

√44 = 2√11, which is irrational.

Since irrational roots come in pairs, the cubic equation has two real, irrational roots and one rational root at x = -2.

6 0

4 years ago

Solve for x

vova2212 [387]

$\frac{x-8}{2} =-3$
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$\frac{\not2(x-8)}{\not2} =2(-3)$
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The answer is : D.2

5 0

3 years ago