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castortr0y [4]
3 years ago
15

Find the smallest zero for the function h(x)=4x^2-8x-60.

Mathematics
1 answer:
ankoles [38]3 years ago
8 0
H(x) = 4x² - 8x - 60
    0 = 4x² - 8x - 60
    0 = 4(x²) - 4(2x) - 4(15)
    0 = 4(x² - 2x - 15)
    4               4
    0 = x² - 2x - 15
    0 = x² - 5x + 3x - 15
    0 = x(x) - x(5) + 3(x) - 3(5)
    0 = x(x - 5) + 3(x - 5)
    0 = (x + 3)(x - 5)
    0 = x + 3    or    0 = x - 5
  - 3        - 3        + 5      + 5
    3 = x       or       5 = x
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Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
ivanzaharov [21]

Answer:

x = 6

y = 3

Step-by-step explanation:

Give triangle is a right triangle.

By applying sine ratio in the given triangle,

sin(60)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}

x = 6

Now we take the cosine ratio in the given triangle,

cos(60)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{y}{x}

y = \frac{x}{2}

y = \frac{6}{2}=3

Therefore, x = 6 and y = 3 will be the answer.

3 0
3 years ago
Leo needs 1010 red roses and 1515 pink daisies for every 55 bouquets he makes for a flower shop. Drag red roses and pink daisies
user100 [1]
[(1515+1010) / 55] x 33 = 1515

If you calculate separately for pink and red using above formula (909pink, 606red, which equals to the same 1515)

Hope that answers it for you..
8 0
3 years ago
Pls help I’ll brainlest ASAP and add extra points
charle [14.2K]

Answer:

3 to 6 making 9 multiply by 4 giving 36

add 3 by 4 = 36

same

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3 years ago
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Answer:  The Z-value is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation. ... A mold with a depth of 12 cm has a Z-value of 2, because its depth is two standard deviations greater than the mean

Step-by-step explanation:

7 0
3 years ago
In 2020, dawn earned $248,000. social security tax is 6.2% to a maximum income of $137,700. what was your monthly gross pay? in
Dovator [93]

Monthly gross pay is $20,666.67; Dawn reached the maximum taxable social security income in July; the amount of social security tax Dawn paid in February, July and November are $1,281.33, $849.42, and $0 respectively.

<h3>How do we calculate Social Security Tax?</h3>

Annual gross pay = $248,000

Monthly gross pay = $248,000 / 12 = $20,666.67

Maximum taxable social security income = $137,700

Social Security Tax Rate = 6.2%

Total Social Security Tax = Maximum social security income * Social Security Tax Rate = $137,700 * 6.2% = $8,537.40

Monthly Social Security Tax = Monthly gross earnings * Social Security Tax Rate = $20,667 * 6.2% = $1,281.33

Number of months Don reached the maximum taxable social security income = Maximum social security income / Monthly gross pay = $137,700 / $20,666.67 = 6.66 months

Since 6.66 months is greater than 6 but less than 7, this implies that the month Don reached the maximum taxable social security income is the 7th month which is July 2020.

Also, the 6.66 months imply that Dawn will fully pay his Total Social Security Tax in July.

Social security tax Dawn paid in February = Monthly Social Security Tax = $1,281.33

Social security tax Dawn paid in July = Total Social Security Tax - (Monthly Social Security Tax * 6) = $8,537.40 - ($1,281.33 * 6) = $849.42

Social security tax Dawn paid in November = $0

Note that $0 was paid in November because Dawn had already paid fully his Total Social Security Tax in July.

Learn more about Total Social Security Tax here: brainly.com/question/18268724.

#SPJ1

3 0
1 year ago
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