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morpeh [17]
3 years ago
13

The temperature was 10°F. It dropped so that the temperature was 0°F. ​___°F represents the change in temperature. Is it 10 or -

10
Mathematics
1 answer:
yan [13]3 years ago
4 0

Answer:

Change = - 10^{\circ}F

Step-by-step explanation:

Given

Initial = 10^{\circ}F

New = 0^{\circ}F

Required

Determine the change in temperature

This is calculated by:

Change = New - Initial

Substitute values for New and Initial Temperatures

Change = 0^{\circ}F - 10^{\circ}F

Change = - 10^{\circ}F

Hence, the change in temperature is: - 10^{\circ}F

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If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.
Lelechka [254]

Answer:

\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)

So we can say that

a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab

and we can notice that

a^2+b^2=(a+b)^2-2ab so

(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab

it comes

x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}

multiply by 3

3x^2-20x+2*16+5=3x^2-20x+37

4 0
3 years ago
Is the square root of 225 a rational number?
MArishka [77]

Step-by-step explanation:

\text{The principal square root}:\\\\\sqrt{a}=b\iff a^2=b\ \text{for}\ a\geq0\ \text{and}\ b\geq0.\\\\\text{The square root:}\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\\===================

\text{If you want the principal square root (arithmetic square root):}\\\\\sqrt{225}=15\ \text{because}\ 15^2=225\\\\\text{If you want square root (algebraic square root):}\\\\\sqrt{225}=\pm15\ \text{because}\ (-15)^2=225\ \text{and}\ 15^2=225

7 0
3 years ago
Read 2 more answers
Graph the line passing through the given point and having the given slope (0,3), m=4
andriy [413]

<u>Hint </u><u>:</u><u>-</u>

  • To find out the equation of the line we can use the point slope form of the line which is y - y_1 = m(x-x_1)

<u>Solution</u><u> </u><u>:</u><u>-</u>

The given point to us is , (0,3) and the slope of the line is 4 . On using the point slope form , we have ,

\implies y - y_1= m(x-x_1) \\\\\implies y-3 = 4(x-0) \\\\\implies y -3 = 4x \\\\\implies \boxed{ 4x - y + 3 =0}

<u>Hence</u><u> the</u><u> </u><u>equation</u><u> </u><u>is </u><u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>y </u><u>+</u><u> </u><u>3</u><u> </u><u>=</u><u> </u><u>0</u><u> </u>

( for graph , see attachment ) .

3 0
3 years ago
Step by step 37 ÷ 6951
Helen [10]

Answer:

0.005323

Step-by-step explanation:

Use the algorithm method

7 0
3 years ago
A submarine is traveling along the surface of the ocean when they spot a pod of dolphins ahead. To avoid the dolphins, the subma
ZanzabumX [31]

Answer:

Don’t know

Step-by-step explanation:

4 0
3 years ago
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