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leva [86]
3 years ago
5

Does anyone know the answer to this one?

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

\large\boxed{a(x+4)(x-5)=0,\ a\in\mathbb{R}-\{0\}}\\\\\text{for}\ a=1\to\boxed{x^2-x-20=0}

Step-by-step explanation:

\text{If}\ x_1\ \text{and}\ x_2\ \text{are the roots of the quadratic equation}\ ax^2+bx+c=0,\\\text{then}\ ax^2+bx+c=a(x-x_1)(x-x_2).\\\\\text{If}\ x_1\ \text{and}\ x_2\ \text{, then they are the roots of the quadratic equation.}\\\\\text{We have}\ x_1=-4\ \text{and}\ x_2=5.\ \text{Therefore we have the equation:}\\\\a(x-(-4))(x-5)=0\\\\a(x+4)(x-5)=0\qquad\text{for any value of}\ a\ \text{except 0}.

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On October 23, 2011, one U.S. dollar was worth 49.84 Indian rupees.
Dafna11 [192]

Answer:

(a)  5165.42 rupees

(b)  $1.35

Step-by-step explanation:

Given information:

  • USD 1 = INR 49.84

<u>Part (a)</u>

To find how many rupees $103.64 was worth, multiply the number of dollars by the number of rupees per dollar:

⇒ 103.64 × 49.84 = 5165.42 rupees (nearest hundredth)

<u>Part (b)</u>

To find how many dollars 67.36 rupees was worth, divide the number of rupees by the number of rupees per dollar:

⇒ 67.36 ÷ 49.84 = $1.35 (nearest hundredth)

7 0
2 years ago
If 8 x 3 = 24 , which numbers could be placed in the blanks in the order shown to create a corresponding division fact?
anyanavicka [17]

          Answer:

explanation:                                        

4 0
3 years ago
An 8-pack of dish towels costs $7.92. What is the unit price?
spayn [35]

Answer:

$0.99 or $1

Step-by-step explanation:

8 pack of dish towels costs $7.92

A cost of dish towel will cost $7.92 divided by 8 packs

7.92/8=0.99

OR

$1

why?

Approximately.

8 0
3 years ago
Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6
horsena [70]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = 3/2x + 7/2}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}

Find:  \textsf{The equation in slope-intercept form}

Solution:  In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us.  After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - 2 = 3/2(x - (-1))}

<u>Simplify and distribute</u>

  • \textsf{y - 2 = 3/2(x + 1)}
  • \textsf{y - 2 = (3/2 * x) + (3/2 * 1)}
  • \textsf{y - 2 = 3/2x + 3/2}

<u>Add 2 to both sides</u>

  • \textsf{y - 2 + 2 = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 7/2}

Therefore, after completing the steps we were able to determine that the equation that fits the description is y = 3/2x + 7/2.

4 0
2 years ago
Brad the pair of fractions as a pair of fractions with a common denominator 3/10 and 1/2​
LuckyWell [14K]

Answer:

<em><u>2/10 and 3/10</u></em>

Step-by-step explanation:

Hello!

The best way of finding common denominators is using their factors!

(of denominators)

10 : 1, 2, 5, 10

2 : 1, 2

We also can see that 10 is divisible by 2.

For that reason, 1/2 is equivalent to 2 * 10 ÷ 2.

That's 10.

So <em>5/10 and 3/10</em> have a common denominator 10.

Hope this helps!

4 0
3 years ago
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