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3 years ago

11

The average daily temperature in Denton went from –8°F in January to 43°F in March. What was the change in average daily tempera

ture from January to March?

1 answer:

11111nata11111 [884]3 years ago

7 0

Answer:

8

Step-by-step explanation:

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Solve 12^x^2+5x-4 = 12^2x+6

faust18 [17]

The solutions for ‘x’ are 2 and -5

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

Given equation:

$12^{x^{2}+5 x-4}=12^{2 x+6}$

Since the base on both sides as ‘12’ are the same, we can write it as

$x^{2}+5 x-4=2 x+6$

$x^{2}+5 x-2 x-4-6=0$

$x^{2}+3 x-10=0$

Often, the value of x is easiest to solve by $a x^{2}+b x+c=0$ by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For $a x^{2}+b x+c=0$ , the values of x which are the solutions of the equation are given by:

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

Where, a = 1, b = 3 and c = -10

$x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}$

$x=\frac{-3 \pm \sqrt{9+40}}{2}$

$x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}$

So, the solutions for ‘x’ are

$x=\frac{-3+7}{2}=\frac{4}{2}=2$

$x=\frac{-3-7}{2}=\frac{-10}{2}=-5$

The solutions for ‘x’ are 2 and -5

6 0

2 years ago

Read 2 more answers

there is a beaker of 3.5% acid solution and a beaker of 6% acid solution in the science lab. Mr. Larson needs 200ml of 4.5% acid

disa [49]

Below are the choices:

A. 80 mL of the 3.5% solution and 120 mL of the 6% solution

<span>B. 120 mL of the 3.5% solution and 80 mL of the 6% solution </span>

<span>C. 140 mL of the 3.5% solution and 60 mL of the 6% solution </span>

<span>D. 120 mL of the 3.5% solution and 80 mL of the 6% solution
</span>
Let fraction of 3.5% in final solution be p.

<span>p * 3.5 + (1 - p) * 6 = 4.5 </span>

<span>3.5p + 6 - 6p = 4.5 </span>

<span>2.5p = 1.5 </span>

<span>p = 3/5 </span>

<span>3/5 * 200 = 120 </span>

<span>Therefore the answer is B. 120 ml of 3.5% and 80 ml of 6%.</span>

6 0

3 years ago

A list of values that can be ordered from least to greater

Romashka [77]

Step-by-step explanation:

50, 278, 976, 6866, 68, 48.77, 68 1/9

4 0

2 years ago

The radius r of a circle can be written as a function of the area A with the following equation: r= sqrt(A/pi) What is the domai

Zepler [3.9K]

The domain of the function is \[A \ge0\] If A is negative we get an imaginary number for the radius. This makes sense because the area of a circle cannot be negative.

7 0

2 years ago

Which the parabola opens,

Dmitrij [34]

Table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have the tables shown in the picture.

We know the quadratic form of a parabola is:

y = ax² + bx + c

If a > 0 the parabola opens

In the equation:

y = x² - 6x

1 > 0 the parabola opens and y-intercept is:

y = 0 (plug x = 0 in the given equation)

a = 1, b = -6, and c = 0

Thus, table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

8 0

1 year ago