What is the positive solution to this equation? 4x2 + 12x = 135

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:

x = 9/2 - 15/2

Step-by-step explanation:

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Ms walkers science class is doing an egg drop experiment from the balcony of their school. Each egg is protected by a contraptio

mr_godi [17]

Answer:

The zeros, -1.48 and 1.48, represent the times where the egg is on the ground.

Step-by-step explanation:

The roots, or zeros, of an expression are the x-intercepts. They are the points where the data crosses the x-axis. The y-coordinate at these points is 0. This means the height of the egg at these points is 0.

The values of a, b and c in this equation are -16, 0 and 35. Using the quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\=\frac{-0\pm \sqrt{0^2-4(-16)(35)}}{2(-16)}\\\\=\frac{0\pm \sqrt{0--2240}}{-32}\\\\=\frac{0\pm \sqrt{2240}}{-32}\\\\=\frac{0\pm 47.33}{-32}\\\\=\frac{0+47.33}{-32}\text{ or }\frac{0-47.33}{-32}\\\\=\frac{47.33}{-32}\text{ or }\frac{-47.33}{32}\\\\=-1.48\text{ or }1.48$

7 0

3 years ago

The circumference of the circle-shaped rug is 69.08 inches.

adelina 88 [10]

We can find the diameter by dividing the circumference by 3.14
d = 22

Thus, our radius is 11.
r = 11

Now, let's use the area formula ( $3.14 \cdot r^2$ ) to solve for the area.
a = $3.14 \cdot (11^2) = \boxed{379.94}$

8 0

3 years ago

Explain how you can use reasoning to compare two fractions with the same denominator

Talja [164]

When two fractions have the same denominator, you can compare which fraction is greater by just comparing the numerators.
For example, if you have 2/5 and 3/5, the denominators are the same. So you can just look at the numerators. 3 is greater than 5, so 3/5 is greater than 2/5.

The reasoning to this is that the two numbers are divided by the same number (5), so you can compare the original numbers (numerators).

7 0

3 years ago

Alton had $725 for Medicare, $3000 for state income tax, and $3100 for

ella [17]

Answer:

$\$6825$

Step-by-step explanation:

Amount deducted for Medicare = $725

Amount deducted for state income tax = $3000

Amount deducted for Social security = $3100

To find: Total amount deducted from Alton's pay for FICA last year

Solution:

Total amount deducted from Alton's pay for FICA last year = Amount deducted for Medicare + Amount deducted for state income tax + Amount deducted for Social security = $725+3000+3100$