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3 years ago

Please solve the following quadratic equation and show your work: x^2 -x =30

1 answer:

8 0

Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.

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What is the difference between infinity and forever?

VikaD [51]

When you say something goes on forever, it means that it is going on to infinity. Infinity is something that can be used as a mathematical concept, but forever is not. Forever is something people say if they don't know how infinity is used.

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3 years ago

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Apyramid was built about 2570 BC. Its original height was 453 feet, 11 inches, but

sweet [91]

Answer:

422.44 feet

Step-by-step explanation:

Let A, B, X, and H represent the left-most observation point, the observation point to its right, the point immediately below the apex, and the height of the apex, respectively.

Then the definition of the cotangent function tells us ...

AX = H·cot(42°)

BX = H·cot(48.85°)

Since the figure tells us AB = 100 feet, we have ...

AB = AX -BX

100 = H·cot(42°) -H·cot(48.85°)

H = 100/(cot(42°) - cot(48.85°)) ≈ 422.44 . . . . ft

The current height of the pyramid is 422.44 feet.

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3 years ago

Read 2 more answers

Five more than the quotient of a number and 3 equals 2.

MakcuM [25]

Answer:

$\large\boxed{\dfrac{n}{3}+5=2\ or\ n:3+5=2}$

Step-by-step explanation:

$\dfrac{n}{3}+5=2\\\\\dfrac{n}{3}-\text{the quotient of a number}\ n\ \text{ and 3}\\\\...+5-\text{five more than}$

If you want a solution:

$\dfrac{n}{3}+5=2$ <em>subtract 5 from both sides</em>

$\dfrac{n}{3}+5-5=2-5$

$\dfrac{n}{3}=-3$ <em>multiply both sides by 3</em>

$3\!\!\!\!\diagup\cdot\dfrac{n}{3\!\!\!\!\diagup}=(3)(-3)\\\\n=-9$

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3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449 gram setting. It is

stealth61 [152]

Answer:

We accetp H₀

Step-by-step explanation:

Information:

Normal distribution

Population mean = μ₀ = 449

Population standard deviation σ unknown

Sample size n = 23 n < 30 we use t-student test

so n = 23 degree of fredom df = n - 1 df = 23- 1 df = 22

Sample mean μ = 448

Sample standard deviation s = 20

Significance level α = 0,05

1.-Hypothesis Test

Null hypothesis H₀ μ₀ = 449

Alternative hypothesis Hₐ μ₀ ≠ 449

Problem statement ask for determine decision rule for rejecting the null hypothesis. For rejecting the null hypothesis we have to get an statistic parameter wich implies that μ is bigger or smaller than μ₀

2.-Significance level α = 0,05 ; as we have a two tail test

α/2 = 0,025

Then from t - student table for df = 22 and 0,025 (two tail-test)

t(c) = ± 2.074

3.- Compute t(s)

t(s) = ( μ - μ₀ ) / s /√n

plugging in values

t(s) = (448 - 449) / 20 /√23 ⇒ t(s) = - 1*√23 /20

t(s) = - 0.2398

4.-Compare t(c) and t(s)

t(s) < t(c) - 0.2398 < - 2.074

Therefore t(s) in inside acceptance region. We accept H₀

7 0

4 years ago

Can someone please help me with the area and premier of this problem

Romashka-Z-Leto [24]

Answer: 360

Step-by-step explanation: cant talk

5 0

3 years ago