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3 years ago

Solve for x. x^2 - 2x - 35 = 0x

Mathematics

1 answer:

larisa [96]3 years ago

8 0

Answer:

x = - 5, x = 7

Step-by-step explanation:

Given

x² - 2x - 35 = 0

Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

The factors are - 7 and + 5, since

- 7 × 5 = - 35 and - 7 + 5 = - 2, thus

(x - 7)(x + 5) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7

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A gazelle runs 780 feet in 12 seconds. Angela wants to determine how far a gazelle could run in 1 minute at this rate. Explain h

Hitman42 [59]

Answer:

In 1 min a gazelle runs 3,900 ft.

As a fraction, 1/65

In order to find the solution to this problem you could use a table.

Since we are using seconds we have to convert the 1 min = 60 seconds.

Sec | 12 | 60

Fts | 780 | x

12 goes into 60 5 times, so we have to multiply 780 by 5 which gives us 3900.

x=3900

4 0

3 years ago

2028.863 rounded to the nearest hundredth

ASHA 777 [7]

Answer:

2028.863 to the nearest hundredth

The Number In The Hundredth Place Is 6 And The The Number Following Is 3 And Because Its Less Than 5, The 6 Will Remain.

So Its 2028.86

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3 years ago

Read 2 more answers

3) You are selling raffle tickets. You sell tickets to adults and children. You sell a

kiruha [24]

Answer:

Step-by-step explanatiox

x+y = 475

3x + 2y = 1200

3(-y + 475) = 1200

-3y + 1425 = 1200

-3y = -225

y= 75 kids

x = 350

8 0

3 years ago

x to the second power plus 14x plus 48. what are the factors? we are doing factoring trinomials with a=1

snow_tiger [21]

Answer:

(x + 6)(x + 8)

Step-by-step explanation:

Consider the factors of the constant term (48 ) which sum to give the coefficient of the x- term (14 )

The factors are + 6 and + 8

since 6 × 8 = 48 and 6 + 8 = 14

x² + 14x + 48 = (x + 6)(x + 8) ← in factored form

3 0

3 years ago

A rectangular solid with a square base has a volume of 2,744 cubic inches. (Let w represent the length of the sides of the squar

vaieri [72.5K]

Answer:

For minimum surface area, the base length and height are equal in length and equal to 14 inches.

Step-by-step explanation:

Given:

Volume of rectangular solid (V) = 2744 cubic inches

Length of base side = 'w'

Height of solid = 'h'

We know that,

Volume = Area of base × Height

$2744=(w\times w)\times h\\\\2744=w^2h\\\\h=\frac{2744}{w^2}-----(1)$

Now, surface area of the solid is given as:

$Surface\ area=2\times (base\ area)+4(hw)\\\\Surface\ area=2w^2+4hw$

Plug in 'h' value from equation (1). This gives,

$Surface\ area=2w^2+4\times\frac{2744w}{w^2}\\\\Surface\ area=2(w^2+\frac{5488}{w})$

Now, for minimum surface area, the derivative of surface area with respect to length 'w' must be 0.

Differentiating both sides with respect to 'w' and equating it to 0, we get:

$\frac{dS}{dw}=0\\\\\frac{d}{dw}[2(w^2+\frac{5488}{w})]=0\\\\2w-\frac{5488}{w^2}=0\\\\2w=\frac{5488}{w^2}\\\\w^3=\frac{5488}{2}\\\\w=\sqrt[3]{2744}= 14\ in$

Therefore, the base length is 14 inches.

Now, from equation (1), the height is given as:

$h=\frac{2744}{w^2}\\\\h=\frac{2744}{14^2}=14\ in$

Therefore, for minimum surface area, the base length and height are equal in length and equal to 14 inches.

7 0

3 years ago