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3 years ago

9. Use the quadratic formula to solve: x² + 5x+1=0

Mathematics

1 answer:

Marina CMI [18]3 years ago

4 0

Decimal form is x= -0.20871215..., -4.79128784...

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The graph is raised by the value of that constant (if it is negative, it is lowered by that much)

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Please help: If the area of a rectangular picture of a stamp is 81 times greater than the actual stamp's area, and the stamp has

ololo11 [35]

Answer:

12 inches.

Step-by-step explanation:

We know that the length of the stamp is 4/3 inches.

Let the width be x inches.

Then the area of the actual stamp is:

$\frac{4}{3}x\text{ inches}^2$

We know that the rectangular picture of the stamp is 81 times greater than the actual stamp’s area. Therefore, the area of the picture is 81 times the above. So:

$81(\frac{4}{3}x)\text{ inches}^2$

So, the area of the rectangular picture is the area of the actual stamp multiplied by a scale factor k.

When we use the scale factor to scale area, we need to square it. Hence, the area of the actual stamp times the scale factor squared is equal to the area of the rectangular picture. Therefore:

$\frac{4}{3}x(k^2)=81(\frac{4}{3}x)$

Let’s solve for the scale factor. Divide both sides by 4/3(x). Hence:

$k^2=81$

Take the square root of both sides:

$k=9$

So, the scale factor from the actual stamp to the picture is 9.

So, the actual stamp has a length of 4/3.

Then ThThe length of the stamp’s picture will be:

$\frac{4}{3}k$

Substitute 9 in for k to get:

$=\frac{4}{3}(9)=12$

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3 years ago

Solve the equation <br>8b+2=3b+12

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The answer is b is equal to 2.

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4 years ago

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Probability theory predicts that there is a 44% chance of a water polo team winning any particular match. If the water polo team

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After playing 2 matches possible outcomes are:
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chance that they win both matches are:
0.44*0.44 = 0.1936 in relative value

Chance that they lose both matches are:
(1-0.44)*(1-0.44) = 0.3136 in relative value

If we multiply these relative values by number of matches and subtract that from number played double games (10000) we will get number of times they won only once.

10000 - 10000* (0.3136+ 0.1936) = 4928

Answer is D.

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