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3 years ago

HELP! Match the range of the function f(x)=x^2+2x-1 to its domain

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

4 0

If f(x)=x^2 +2x -1
a) 2=x^2+2x-1
0=x^2+2x-3
0=(x+3)(x-1) x=-3 or 1

b) 14=x^2+2x-1
0=x^2+2x-15
0=(x+5)(x-3) x=-5 or 3

c) 7=x^2+2x-1
0=x^2+2x-8
0=(x+4)(x-2) x=-4 or 2

d) -1=x^2+2x-1
0=x^2+2x+0
0=(x+2)x x=0 or -2

Since this function involves a quadratic equation, there are technically two possible inputs that will give you the same output. In your case, you just have to match one of the possible inputs to its output (the numbers on the left originally given, from what it seems.) Hope this helps

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Write a word problem that can be solved by ordering three decimals to thousandths. Include a solution

nikklg [1K]

Then make up a word problem that you can use decimals in.

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3 years ago

Rose and Andrew are financing 128,000 to purchase a condominium. They obtained a 15 year fixed rate loan with a rate of 5.05%. T

anzhelika [568]

Amount Financed(P) = $ 128,000

Time = 15 year

Rate of interest= 5.05%

Amount after 15 years translates to,

${\text{Using the formula}} P(1+\frac{R}{100})^n\\\\ 128,000(1 +\frac{5.05}{100})^{15}\\\\ =128,000 \times (1.0505)^{15}\\\\=128,000 \times 2.0938\\\\=268,009.890$

Rose and Andrew has taken four points to lower their rate to 4.81% .

Amount after 15 years translates to, if rate of interest is 4.83 %

${\text{Using the formula}} P(1+\frac{R}{100})^n\\\\ 128,000(1 +\frac{4.83}{100})^{15}\\\\ =128,000 \times (1.0483)^{15}\\\\=128,000 \times 2.0290\\\\=259713.0404$

Cost of four points = 268,009.890 - 259,713.0404

= $8296.8496

3 0

3 years ago

In analyzing the city and highway fuel efficiencies of many cars and trucks, the mean difference in fuel efficiencies for the 60

Olegator [25]

Answer:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

Step-by-step explanation:

Data provided

$\bar X=7.38$ represent the sample mean for the fuel efficiencies

$\mu$ population mean

s=2.51 represent the sample standard deviation

n=601 represent the sample size

Confidence interval

The formula for the confidence interval of the true mean is given by:

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

The degrees of freedom for this case is given by:

$df=n-1=601-1=600$

The Confidence level for this case is 0.95 or 95%, and the significance level $\alpha=0.05$ and $\alpha/2 =0.025$ and the critical value is given by $t_{\alpha/2}=1.96$

Replcing into the formula for the confidence interval is given by:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

8 0

3 years ago

If you can walk 3 1/3 miles in an hour, how many miles can you walk in 30 minutes, given the

Vedmedyk [2.9K]

Answer:

d = 1.67 miles

Step-by-step explanation:

Given that,

Speed of a person, $s=3\dfrac{1}{3}\ mph$

We need to find how many miles can you walk in 30 minutes, given the same pace.

30 minutes = 0.5 h

$3\dfrac{1}{3}\ mph = \dfrac{10}{3}\ mph$

Speed = distance/time

$d=v\times t\\\\d=\dfrac{10}{3}\ mph\times 0.5\ h\\\\d=1.67\ miles$

So, the person will cover a distance of 1.67 miles

8 0

3 years ago

A total of 123 fifth-grade students are going to ford Verde state historic park each bus holds 38 students all of the buses are

FromTheMoon [43]

Hi Lala4eva54,

Your Question:

A total of 123 fifth-grade students are going to ford Verde state historic park each bus holds 38 students all of the buses are full Except one how many students will be in the bus that is not feel.

Solution:

123 / 38 = 3.236.....

38 x 3 = 114

123 - 114 = 9

Answer:

There will be 9 students in the bus thats not full.

4 0

3 years ago