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Goshia [24]
2 years ago
14

5) The solution to 7X2 + 2X – 1 = 0 can be written as:

Mathematics
2 answers:
belka [17]2 years ago
5 0

Answer:

Step-by-step explanation:

7x² + 2x - 1 = 0

x = (-2 ±\sqrt{2^2 - 4(7)(-1)} )/ (2(7))

x = (-2 ± \sqrt{32} ) /14

x = (-2 ± 4\sqrt{2} ) /14

x = \frac{-1}{7} ± \frac{2}{7}\sqrt{2}

tia_tia [17]2 years ago
4 0

Answer:

2/7 or -30/7

Step-by-step explanation:

Use the quadratic formula

a = 7, b = 2, c = -1

-2 + or - (sqrt (2^2 - 4 * 7 * -1) / 2 * 7

-2 + or - 32/14

-2 + or -  16/7

2/7, or -30/7

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Someone help me out. So the question is Distance = Rate x Time What is the distance traveled if it took me 3 hours to travel at
Lyrx [107]

Answer: 180 miles

Step-by-step explanation:

From the question, we should note that the distance taken will be calculated by using the formula which will be:

Distance = Rate × Time

where,

Rate = 60 miles per hour

Time = 3 hours

Distance = 60 × 3

Distance = 180 miles

Therefore, the distance travelled is 180 miles.

3 0
3 years ago
Choose the equation that represents the graph below:
Zolol [24]
Y = x + 3 is the answer

the y-intercept is 3, so the answer should have a "+ 3" in it

when you are trying to determine the gradient (the x), you can use two methods

first method:
picture/sketch the line. If the line is going upwards (from left to right), it's positive. If the line is going downwards (from left to right), it's negative. However, this method only works for this question, you should try using the second method more

second method:
use the formula: (y - y) / (x - x)
So, you use the y from one of the brackets and subtract the y from the other bracket. Then, you put it over the x ,from the same bracket as the first y, and subtract the x from the second bracket. If you are confused, look at the picture. (Sorry for the messy explanation)

7 0
3 years ago
Read 2 more answers
The daily sales at a convenience store produce a normal distribution with a mean of $1,250 and a standard deviation of $125. The
timama [110]

Answer:

0.6844 is the required probability.        

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $1,250

Standard Deviation, σ = $125

We are given that the distribution of daily sales is a bell like shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find

P(sales less than $1,310)

P( x < 1310) = P( z < \displaystyle\frac{1310 - 1250}{125}) = P(z < 0.48)

Calculation the value from standard normal z table, we have,  

P(x < 1310) =0.6844= 68.44\%

0.6844 is the probability that sales on a given day at this store are less than $1,310.

4 0
2 years ago
Of all the Sunny Club members in a particular city, 25% prefer swimming on weekends and 75% prefer swimming on weekdays. It is f
Ivan
P(f | weekend) = p(f & weekend)/p(weekend)
.. = 10%/25%
.. = 2/5 = 0.4
3 0
3 years ago
Read 2 more answers
Which of the following is the graph of the rational function? y=x^2+2x-8/x^2-9
rusak2 [61]
Notice that we can simplify both numerator and denominator of our rational function. In the numerator we have a quadratic expression of the form ax^2+bx+c. To to simplify it, we are going to find tow numbers that add to 2 and multiply to -8; those numbers are 4 and -2.
x^2+2x-8=(x+4)(x-2)
In the denominator we have a difference of squares:
x^2-9=x^2-3^2=(x+3)(x-3)

Now we can rewrite our function:
y= \frac{x^2+2x-8}{x^2-9} = \frac{(x+4)(x-2)}{(x+3)(x-3)}

From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at x=3 and x-3

We can conclude that the graphic of our rational function is: 

7 0
2 years ago
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