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babunello [35]
4 years ago
13

Using the quadratic equation formula to solve 7x^2-x=7, what are the values of x

Mathematics
1 answer:
Gennadij [26K]4 years ago
8 0

quadratic formula:

x = <u>-b ± √(b² - 4ac)</u>

             2a

7x² - x = 7

subtract 7 from both sides:

7x² - x - 7 = 0

plug values into the quadratic formula:

x = <u>-(-1) ± √((-1)²- 4(7)(-7))</u>

               2(7)

simplify:

x = <u>1 ± √(197)</u>

           14

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________is an acute angle and sin theta and cos theta are given. Use identities to find tangent theta, cosecant theta, secant th
AnnyKZ [126]

Answer:

tangent theta = 12/5,

cosecant theta = 13/12

secant theta = 13/5

Cotangent theta = 5/12

Step-by-step explanation:

Given sine theta= 12/13, cosine theta= 5/13.

According to SOH CAH TOA

Sintheta = Opposite/Hypotenuse = 12/13

Cosine theta = Adjacent/Hypotenuse = 5/13

Opposite = 12, Adjacent = 5, Hypotenuse = 13

Tan theta = Opposite/Adjacent = 12/5.

cosecant theta = 1/sintheta = 1/{12/13}

cosecant theta = 13/12

secant theta = 1/cos theta = 1/{5/13}

Secant theta = 13/5.

Cotangent theta = 1/tan theta = 1/{12/5} = 5/12

4 0
3 years ago
5. Jonathan spins a spinner that has the numbers
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D) landing on a number greater than 10
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Find the number of faces, edges, and vertices of the solid. Please help me with this problem!
sp2606 [1]

Answer:

Faces: 7, Edges: 12, Vertices: 7

Step-by-step explanation:

Just count them

7 0
3 years ago
Assuming that it is known from previous studies that σ = 4.5 grams, how many mice should be included in our sample if we wish to
Yuki888 [10]

Answer:

The required amount of mice is 11.82 gram.

Step-by-step explanation:

Given : Assuming that it is known from previous studies that σ = 4.5 grams. If we wish to be 95% confident that the mean weight of the sample will be within 3 grams of the population mean for all mice subjected to this protein diet.

To find : How many mice should be included in our sample?

Solution :

The formula used in the situation is

z=\frac{x-\mu}{\sigma}

Where, z value at 95% confidence interval is z=1.96

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\sigma=4.5 gram is the standard deviation of the sample

Substituting the value, to find x sample mean

1.96=\frac{x-3}{4.5}

1.96\times 4.5=x-3

8.82=x-3

x=8.82+3

x=11.82

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4 years ago
A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first
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Answer: correct option is A

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Given that

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The probability of an element being selected is 0.100

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