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Anuta_ua [19.1K]
3 years ago
15

At midnight the temperature was –3°F. By 5:00 AM the temperature had fallen by 12°F. What was the temperature at 5:00 AM?

Mathematics
1 answer:
bezimeni [28]3 years ago
4 0
The temperature at 5:00 AM:
<span>a. –15°F</span>
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2x^2=9-3x <br> Find the factors
d1i1m1o1n [39]

Answer:

x = -3, $ \frac{3}{2} $

Step-by-step explanation:

The given quadratic equation is: $ 2x^2 = 9 - 3x $

This can be written as: $ 2x^2 + 3x - 9 = 0 $

To solve a quadratic equation of the form $ ax^2 + bx + c = 0 $ we use the formula:

           $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$ x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)} $

$ \implies x = \frac{-3 \pm \sqrt{81}}{4} $

$ \implies x = \frac{-3 \pm 9}{4} $

We get two values of 'x', viz.,

x = $ \frac{-3 + 9}{4} $ and $ \frac{- 3 - 9}{4} $

$ \implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4} $

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $ \frac{3}{2} $) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $ \frac{3}{2} $ to see that this indeed is the given quadratic equation.

5 0
3 years ago
Solve it I need help
rusak2 [61]
It opens upward and the vertex is (2,-6) here are some plotted points: (0,6),(1,-3),(2,-6),(3,-3),(4,6). Hope that helps. I hate graphing but if you do it enough times you'll get the hang of it!
6 0
2 years ago
Carlos earns $11 per hour at his job. Let x represent the number of hours he worked in May. Let y represent the number of hours
Firlakuza [10]

11x+11y

11(x+y)

Explanation

Step 1

Let

Carlos earns == 11 per hour

x represents the number of hours he worked in May

the,

the amount he earned in Mayis

11\cdot x=11x

y represent the number of hours he worked in June.

the amount he earned in June was

11\cdot y=11y

Step 2

the amount of money he earned is May and June is the sum of the values

\begin{gathered} \text{total}= \\ 11x+11y \\ \text{if we factorize 11} \\ 11(x+y) \end{gathered}

I hope this helps you

5 0
9 months ago
The price of a pair of Jordans was reduced from $200 to $160. By percentage was the price reduced
hichkok12 [17]

Answer:

20%

Step-by-step explanation:

3 0
2 years ago
What is the location of F on the decimal number line below?<br> Write your answer as a decimal
Masja [62]

Answer:

6.45

Step-by-step explanation:

Every part is 0.01 bigger or smaller

You can find it out by subtraction and then division

6.5 - 6.4 = 0.1

0.1 : 10 = 0.01

There are 10 parts that's why you divide it by 10.

If there will be 2 parts you will divide by 2

4 0
2 years ago
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