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3 years ago

Which fraction is graphed ?

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Answer: B is the correct choice

Step-by-step explanation:

The values are essentially the same. You need to recognize how the symbols in the expressions match up with the symbols on the graph.

The open circle on the right end of the parabola means the function is less than (not including) 2 so <2 for that part.

The solid circle at the left of the line means f(x) includes all the values to the right are greater than or equal to 2 so ≥2 for that part.

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Find a value of k such that kx2 + 12x − 4 = 0 has one real-number solution. Explain.

Marta_Voda [28]

Answer: if x is to the 2 power then

kx^2+12x-4=0 Add 4 to the both sides

kx^2+12x=4 Divide both sides by 12

kx^2=1/3x square root the both sides

k=0.6x

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

On a store’s 100th anniversary, every person who enters gets a pin. Every fourth person gets a mug. Every tenth person gets perf

Archy [21]

On a store’s 100th anniversary, every person who enters gets a pin. Every fourth person gets a mug. Every tenth person gets perfume. Every 25th person gets an umbrella, and every 75th person gets a free dinner.

To find the shopper to get all the 5 gifts, we take LCM of 1, 4, 10, 25 and 75

Multiple of 1 : 1, 2, 3 , 4...............299, 300, 301, 302

Multiple of 4 : 4, 8, 12, 16, 20,............., 296, 300, 304........

Multiple of 10: 10, 20, 30, 40 ......................290, 300, 310.....

Multiple of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300....

Multiple of 75: 75, 150, 225, 300, .....

LCM of 1, 4, 10, 25, 75 is 300

So 300th shopper will be the first to get all 5 gifts.

7 0

3 years ago

-x + y = 5

diamong [38]

Answer:

A. -(5y+2) + y = 5

Step-by-step explanation:

Solving the above Equation given to us in the Question,

-x + y = 5...... Equation 1

x - 5y = 2....... Equation 2

Step 1

We make x subject of the formula in Equation 2

---> x= 5y + 2

Step 2

This would be to substitute 5y + 2 for x in Equation 1

-x + y = 5...... Equation 1

-(5y+2) + y = 5

Hence, Option A is the correct option

8 0

3 years ago

A survey of 35 individuals who passed the seven exams and obtained the rank of Fellow in the actuarial field finds the average s

arsen [322]

Answer:

$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=150000$ represent the sample mean

$\mu$ population mean (variable of interest)

s=15000 represent the sample standard deviation

n=35 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=35-1=34$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,34)".And we see that $t_{\alpha/2}=2.032$

Now we have everything in order to replace into formula (1):

$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

3 0

4 years ago

A vendor sells h hot dogs and s sodas. If a hot dog costs twice as much as a soda, and if the vendor takes in a total of d dolla

Gennadij [26K]

A soda costs $\frac{100d}{(s+2h)}$ cents

Step-by-step explanation:

A vendor sells h hot dogs and s sodas

A hot dog costs twice as much as a soda
The vendor takes in a total of d dollars

We need to find how many cents does a soda cost

Assume that the cost of a soda is x cents

∵ The cost of a hot dog is twice as a soda

- Twice means multiply by 2

∵ The cost of a soda = x cents

∴ The cost of a hot dog = 2x

∵ The total cost of h hot dog and s soda is $d

∵ 1 dollar = 100 cents

- Change the total cost to cents

∴ $d = d × 100 = 100d cents

∵ The vendor sells h hot dogs and s soda

∴ The total cost of h hot dog and s soda = s(x) + h(2x)

∴ The total cost of h hot dog and s soda = sx + 2hx

- Equate the total cost by 100 d

∴ sx + 2hx = 100d

- Take x as a common factor from the left hand side

∴ x(s + 2h) = 100d

- Divide both sides by (s + 2h)

∴ $x=\frac{100d}{(s+2h)}$

∵ x represents the cost of a soda in cents

∴ The cost of a soda is $\frac{100d}{(s+2h)}$ cents

A soda costs $\frac{100d}{(s+2h)}$ cents

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

5 0

4 years ago