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Oduvanchick [21]

3 years ago

7

The town of Haverford just bought land to make a new park. The land is in the shape of a rectangle that is 2/3 of a mile wide an

d 3/4 of a mile long.
What is the area, in square miles, of the land the town of Haverford bought?

A 5/12

B 6/12

C 8/9

D 6

1 answer:

frosja888 [35]3 years ago

6 0

Answer:

B.

Step-by-step explanation:

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Quadrato equation<br>x²+5x+6=0

Mars2501 [29]

Answer:

x = - 3, x = - 2

Step-by-step explanation:

Given

x² + 5x + 6 = 0

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 3 and + 2, since

3 × 2 = + 6 and 3 + 2 = + 5, thus

(x + 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 2 = 0 ⇒ x = - 2

8 0

4 years ago

Read 2 more answers

5(2x + 6) = 8x + 48 <br><br> simplify.

lord [1]

10x+30=8x+48

2x+30=48

2x=18

x=9

3 0

4 years ago

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What are the roots of the polynomial equation x3 - 6x = 3x2 - 8? Use a graphing calculator and a system of equations.

makkiz [27]

Answer:

d : 4, 1, -2.

Step-by-step explanation:

There's no need for a calculator in my opinion because we can use the rational root theorem which states that the equations of this form:

$\sum_{i=0}^{n} a_{i}x^i = 0 = a_{0} + a_{1}x + a_2x^2 + ... + a_nx^n = 0\\ a_i \in \mathbb{Z}$

Have rational roots, than the roots are of the form: $\frac{k \cdot a_o}{p \cdot a_n}, \ where \ k, p \in \mathbb{Z}.$

Rewriting the equation we have:

$x^3 - 3x^2 -6x + 8 = 0\\By \ our\ previous \ claim \ x \in D_8 \ where \ D_n \ the \ set \ of \ divisors \ of \ n.\\D_8 = \{\pm 1, \pm 2, \pm 4, \pm 8\} \\We \ plug \ in \ some \ number from \ D_8.\\Letting \ x = -2;\\(-2)^3 -3(-2)^2 -6(-2) + 8 = 0 \ \ \ Thus \ x+2 \ is \ a \ factor.\\We \ can \ now \ simplify \ the \ eq. \ using \ Polynomial \ Long \ Division.$

$x^3 -3x^2 -6x + 8 = (x+2)(Q(x))\\To \ find \ Q \ we \ divide \ the \ original \ equation \ by \ x + 2; which \ yields:\\Q(x) = x^2 - 5x + 4.\\So \ we \ can \ use \ the \ quadratic \ formula \ to \ find \ the \ roots:\\x = 4,x = 1. \\Thus \ x \in \{-2, 1, 4\}. \ \ These \ are \ all \ the \ roots.$

5 0

4 years ago

Jade can travel 42 miles in 4 hours. Please calculate Jade's rate of speed. (round to 2 decimal places)

sladkih [1.3K]

Answer:

10.50 Miles per hour

Step-by-step explanation:

42/4 = 10.50 easy

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2 years ago

Jim earns 3% commission every month on his total sells. This month, his total sells were $620,000. How much commission did Jim e

Anarel [89]

The answer is 18,600.

Hope this helps!

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3 years ago