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ruslelena [56]
3 years ago
11

The graph of an equation with a negative discriminant always has what characteristic

Mathematics
1 answer:
Jet001 [13]3 years ago
5 0

Answer:

See below.

Step-by-step explanation:

The zeroes of the equation will  not be real so the graph will not pass through the x-axis.

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What is the slope and y-intercept of 5x+4y=2
marshall27 [118]
To find the slope and y-intercept, we first need to put this equation in Slope Intercept Form (SIF). SIF is y=mx+b where "m" is the slope and "b" is the y-intercept.

To put the equation in slope intercept form, we need to isolate y and simplify the other terms.

 5x+4y=2
-5x      -5x
4y=-5x+2
/4       /4
y=5/4x+2/4
y=5/4x+1/2

Using the math above, we can see that the slope is 5/4 and the y-intercept is 1/2.

4 0
3 years ago
Sally works at a frozen yogurt shop that has about 2,500 customers per week and wants to know how many people like vanilla froze
Free_Kalibri [48]

Answer: The difference is 300 customers.

Step-by-step explanation:

For each week the proportion of customers that like vanilla frozen yogurt is equal to the number of customers that said they like it, divided by the sample (40 for each week)

week 1: p1 = 14/40 = 0.35

week 2: p2 = 18/40 = 0.45

week 3: p3 = 12/40 = 0.3

Then we can calculate the average proportion as:

P = (p1 + p2 + p3)/3 = 0.367

Now, knowing that in a week the shop has about 2500 customers, we can expect that 36.7% of them like the vanilla frozen yogurt,

This is:

N = 2500*0.367 = 916.6

But we can not have a 0.6 of a customer, so we should round it to the nearest whole number, which is 917.

Now, the standard deviation of this will be:

S = \sqrt{\frac{(0.300 - 0.367)^2 + (0.350 - 0.367)^2 + (0.450 - 0.367)^2}{2}}

wich is the summation of the squared difference with the mean of each value, divided by the number of repetitions minus one (3 - 1 = 2)

S = 0.075

Then the largest proportion is equal to the mean plus the standard deviation (P + S), and the smallest proportion is equal to the mean minus the standard deviation (P - S):

if we want to calculate the difference between those estimations, we need to calculate:

Diff = (P + S)*2500 - (P - S)*2500 = 2*S*2500 = 2*0.075*2500 = 300

So between the lower and the higher estimations, the difference is 300 customers.

8 0
3 years ago
Read 2 more answers
Write an equation of the line passing through point p(−1, 3) that is perpendicular to the line x = −5.
Crank
The answer is y=1/5x-14/5
4 0
3 years ago
Help solving this math problem with a mathematical explanation about the answer
Nikitich [7]

Answer:

1) 1²+2²+3²+4²+5²+6²+7²+8² = 204

2) here the pattern is squares form with only squares of natural number of tiles i.e) 1,4,9.....

3) floor with 10 tiles long, the number of squares = 385

   floor with 100 tiles long, the number of squares =338350

   floor with N tiles long, the number of squares = ∑ N² = \frac{N(N+1)(2N+1)}{6}

Step-by-step explanation:

We can make square only using number of tiles which are squares of natural numbers.

so, we need 1, 4, 9, 16 ..... number of tiles to form a square.

Now, if there are N number of squares along one side,

choosing 1 square at a time , we get N² number of squares

choosing 2 square at a time , we get (N-1)² number of squares

and so on...

choosing N square at a time , we get 1² number of squares

so the total number of squares = 1² + 2² +......+ N² = ∑N²

And ∑N² =  \frac{N(N+1)(2N+1)}{6}

4 0
3 years ago
Theos mom bought an eight pack of juice boxes at the store for 4$ What's the unit rate of juice boxes
iogann1982 [59]
Divide $4 in 8 and you'll get the answer 
3 0
3 years ago
Read 2 more answers
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