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4 years ago

8

Translate the following word phrase into an algebraic expression 7 times the difference of Y and one

1 answer:

kramer4 years ago

8 0

To solve this problem, we just need to change the described expression into a numerical one.

Our answer is 7(y-1).

This is because the difference of y and 1 refers to the operation of subtraction, and this shows us that we need to subtract 1 from the value that is represented by y. The fact that it says 7 times the difference of y and 1 shows us that we must multiply the quantity y-1 and 7 (meaning we must perform the subtraction between y and 1 before the multiplication with 7). This is what indicates to us that we need parentheses, which allow us to perform this operation first, outlined by the rules of PEMDAS referring to the order of operations.

Hope this helps!

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Find the area of a plane figure bounded by lines

natulia [17]

Answer: 4.5

<u>Step-by-step explanation:</u>

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1

Now, integrate from x = -2 to x = 1

$\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,$ <em>the bottom of the integral is -2 </em>

= $\int\limits^1_2 {x+6-x^{2}-2x-4 } \,$

= $\int\limits^1_2 {-x^{2}-x+2 } \,$

= $\frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,$

= $(\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))$

= $(\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)$

= $\frac{-9}{3} + \frac{3}{2} +6$

= -3 + 1.5 + 6

= 4.5

3 0

3 years ago

Nancy's mother has a large collection of shoes. The table shows how many pairs of shoes she

SSSSS [86.1K]

Answer:

P(pumps) = 2/5

Step-by-step explanation:

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3 years ago

How much money was originally in an account if the balance is 10,399.86 if the interest compounded quarterly over eight years?

nlexa [21]

Sorry I’m not sure but maybe you could look it up???

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3 years ago

Si un rectángulo con perímetro de 74 pulgadas tiene un largo de 5 pies más que el ancho,

baherus [9]

Perímetro del rectángulo = 74 pulgadas

Deje que el ancho del rectángulo sea 'x'.

Entonces, la longitud de este rectángulo = x + 5

We know that :

$\color{hotpink}\tt \: Perímetro \: del \: rectángulo =\color{plum} 2 × (l + b)$

Lo que significa :

$=\tt 2(x + x + 5) = 74$

$=\tt 2(2x + 5) = 74$

$=\tt 4x +10 = 74$

$=\tt 4x = 74 - 10$

$=\tt 4x = 64$

$=\tt x = \frac{64}{4}$

$\color{plum} =\tt x = 16$

Por lo tanto, el ancho de este rectángulo = 16 pulgadas

Entonces, la longitud de este rectángulo :

$=\tt x + 5$

$= \tt16 + 5$

$\color{plum} =\tt 21 \: pulgadas$

La longitud de este rectángulo = 21 pulgadas

<h2>Por lo tanto :</h2>

● Longitud del rectángulo = <em>21 pulgadas</em>

● Ancho del rectángulo = <em>16 pulgadas</em>

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3 years ago