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nevsk [136]
3 years ago
9

3x^2 - 4x + 7 (Find the domain of the expression)

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0
<span><span><span><span>x1</span> </span><span>= <span><span>−(−4) − √<span> (−4)2 − 4×3×7 </span> </span>2×3</span> </span><span>= <span><span>4 − 2 × √ 17 i </span>6</span> </span><span>≈ 0.666667 − 1.374369i</span></span><span><span><span>x2</span> </span><span>= <span><span>−(−4) + √<span> (−4)2 − 4×3×7 </span> </span>2×3</span> </span><span>= <span><span>4 + 2 × √ 17 i </span>6</span> </span><span>≈ <span>0.666667 + 1.374369i</span></span></span></span>
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How do the angle measures of polygon ABCD compare with the angle measures in the reflected image? How do the side lengths compar
Tresset [83]

The measures of the angles ABCD are the same as the measures of the angles that is corresponding based on the reflected images.

<h3>How to show that the angles are equal</h3>

Based on the fact that this is a reflection, the angles would be equal measures.

What this means is that there is a preservation of the of the reflected image. This is the same logic for the length of the sides.

The reflection is known to be a rigid type of transformation that is known to have its angles and sides preserved.

Read more on reflection in mathematics here:

brainly.com/question/1908648

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8 0
2 years ago
Cobalt-56 has a decay constant of 8.77 × 10-3 (which is equivalent to a half life of 79 days). How many days will it take for a
sweet-ann [11.9K]
As I read this one, is just a decay exponential equation... so

A = P(1 + r)ᵗ   where "t" is days passed. . hmm in this case is decay, so negative rate  A = P(1 - r)ᵗ, and the decimal amount would be 0.00877 for the rate

62% of P, the original value, is just 0.62P, now... if we hmm take P as just 1, it could be any amount, but 62% of 1,000,000 is just 62% of 1 times 1,000,000

so, for the sake of comparing it with a percentage, 1 will do

\bf 0.62P=P(1-0.00877)^t\implies P=1\implies 0.62=(1-0.00877)^t&#10;\\\\\\&#10;ln(0.62)=ln[(1-0.00877)^t]\implies ln(0.62)=t\cdot  ln(1-0.00877)&#10;\\\\\\&#10;\cfrac{ln(0.62)}{ln(0.99123)}=t
7 0
3 years ago
The Mississippi River is about 4,000 kilometers long. An M&amp;M is about 1 centimeter long. There are 100 centimeters in a mete
harkovskaia [24]
To be able to determine the number of M&Ms that are needed in order to measure the length of Mississippi River, we convert the units to a common one. For this purpose, we convert kilometers to centimeter such that,
 
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                       = 400,000,000 cm

Since there are 400,000,000 cm in the entire length of the river, the answer would also be 400,000,000. 
4 0
3 years ago
A rectangle has length 4 inches and width 2 inches. If the length and width of the rectangle are each reduced by 50 percent, by
exis [7]

Answer: 25%

Step-by-step explanation:

Given: A rectangle has length 4 inches and width 2 inches.

Area = Length x width

= 4 inches x  2 inches

= 8 square inches

If length is reduced by 50% , then length =0.5\times4=2\text{ inches}

If width is reduced by 50% , then length =0.5\times2=1\text{ inch}

Reduced area = (reduced length) x (reduced width)

= 2 inches x 1 inch

= 2 square inches

The percentage of the area of the rectangle be reduced :-

\dfrac{\text{Reduced area}}{\text{Original area}}\times100 \\\\=\dfrac{2}{8}\times100\% \\\\=25\%

Hence, the percent of the area of the rectangle be reduced = 25%

6 0
3 years ago
A triangle has two sides of lengths 7 and 9.what value could the length of the third side be?
Diano4ka-milaya [45]
The side length has to be between 2 (=9-7) and 16 (=9+7). In both these corner cases the triangle will have collapsed to a line.

So the correct answers are B,C,D and E, and F is a corner case. Theoretically I suppose you have to count F in as a valid answer.
7 0
3 years ago
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