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2 years ago

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THANK YOU (PLEASE HELP) <3 C: TYSMMMM PLZZZ Write an equation of a parabola that is wider than the parent function, reflects

across the x-axis and the vertex has been shifted down 4.

1 answer:

My name is Ann [436]2 years ago

3 0

Answer:

y=-2x^2-4

Step-by-step explanation:

The parabola is wider than it's parent function, y = x^2. Therefore the coefficient, of x^2 (when you refer to quadratic equations it's a) should be greater than 1. Let's take 2.

y = 2x^2

Now it is reflected across the x-axis, so the equation turns to y = -2x^2. The vertex is shifted down 4. Note that it is shifted down, along the y-axis. This makes 'c' (again quadratic equations) -4.

Final Equation: y=-2x^2-4

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What is the error in this problem

dlinn [17]

Answer:

10). m∠x = 47°

11). x = 30.96

Step-by-step explanation:

10). By applying Sine rule in the given triangle DEF,

$\frac{\text{SinF}}{\text{DE}}=\frac{\text{SinD}}{\text{EF}}$

$\frac{\text{Sinx}}{7}=\frac{\text{Sin110}}{9}$

Sin(x) = $\frac{7\times (\text{Sin110})}{9}$

Sin(x) = 0.7309

m∠x = $\text{Sin}^{-1}(0.7309)$

m∠x = 46.96°

m∠x ≈ 47°

11). By applying Sine rule in ΔRST,

$\frac{\text{SinR}}{\text{ST}}=\frac{\text{SinT}}{\text{RS}}$

$\frac{\text{Sin120}}{35}=\frac{\text{Sin50}}{x}$

x = $\frac{35\times (\text{Sin50})}{\text{Sin120}}$

x = 30.96

4 0

3 years ago

The average breaking strength of a certain brand of steel cable is 2000 pounds, with a standard deviation of 100 pounds. A sampl

Westkost [7]

Answer:

1963.2 pounds (lbs.)

Step-by-step explanation:

Things to understand before solving:

- <u>Normal Probability Distribution</u>

The z-score formula can be used to solve normal distribution problems. In a set with mean ц and standard deviation б, the z-score of a measure X is given by: $Z=\frac{X-u}{a}$

The Z-score reflects how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the likelihood that the measure's value is larger than X.

- <u>Central Limit Theorem</u>

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean ц and standard deviation б , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean ц and standard deviation $s=\frac{a}{\sqrt{n} }$

As long as n is more than 30, the Central Limit Theorem may be applied to a skewed variable. A specific kind of steel cable has an average breaking strength of 2000 pounds, with a standard variation of 100 pounds.

This means, ц = 2000 and б = 100.

A random sample of 20 cables is chosen and tested.

This means that n = 20, $s=\frac{100}{\sqrt{120} } =22.361$

Determine the sample mean that will exclude the top 95 percent of all size 20 samples drawn from the population.

This is the 100-95th percentile, or X when Z has a p-value of 0.05, or X when Z = -1.645. So $Z=\frac{X-u}{a}$

By the Central Limit Theorem

$Z=\frac{X-u}{a} \\-1.645=\frac{X-2000}{22.361} \\X-2000=-1.645*22.361$

$X =1963.2$

<h3>Answer:</h3>

The sample mean that will cut off the top 95% of all size 20 samples obtained from the population is 1963.2 pounds.

3 0

2 years ago

School A has graduated 1,700 students and graduates

Alisiya [41]

Answer:

the answer is 11 years

Step-by-step explanation:

if school A is graduated 50/years,

the graduated in 11 years is 550

added of graduated 1,700 in 550 is 2,250

if school B is graduated 150/years,

the graduated in 11 years is 1650

added of graduated 600 in 1650 is 2,250

so School A and B is to be equal in 11 years

4 0

3 years ago

Is 5.45 rational what can you call it

Liula [17]

Yes it is rational Bc it a decimal

6 0

3 years ago

Is it possible for the function f(x) - 5 x 2^x to have an output of 200?

Advocard [28]

Answer:

The solution is possible

Step-by-step explanation:

Given

$f(x) = 5 * 2^x$

Required

Is an output of 200, possible?

To know if it is possible or not, we start by substituting 200 for f(x)

$200 = 5 * 2^x$

Divide both sides by 5

$\frac{200}{5} = \frac{5}{5} * 2^x$

$\frac{200}{5} = 2^x$

$40 = 2^x$

$2^x =40$

Take logarithm of both sides

$log2^x =log40$

Apply law of logarithm

$xlog2 =log40$

Divide both sides by log2

$x = \frac{log40}{log2}$

$x = \frac{1.6021}{0.3010}$

$x = 5.32$

for f(x) = 200, x is approximately 5.32

Hence, the solution is possible

8 0

3 years ago