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3 years ago

Solve the equation by factoring and applying the zero product property.

Mathematics

2 answers:

LUCKY_DIMON [66]3 years ago

8 0

Step-by-step explanation:

the answer is D using Quadratic Equation

Colt1911 [192]3 years ago

6 0

Answer:

Step-by-step explanation:

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Which of the following best describes the technique used to graph the equation y = 5x + 10using the slope and y-intercept?

nikdorinn [45]

The last one. Mark a point at 10 on the y-axis, go up 5 and right one and mark this point.

7 0

3 years ago

3. Lonnie has a gift card worth $600 for a local entertainment store. Movies cost $20 each and newly released video games cost $

Mandarinka [93]

Answer:

8 movies and 6 video games

Step-by-step explanation:

Given

$Gift\ Card = \$600$

$Movies =\ $20$

$Video\ Game = \$50$

$Minimum\ Items = 13$

Required

Determine the items Lonnie can afford

To solve this question, we make use of trial by error method by taking the options one at a time:

Option 1: 6 movies and 4 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 2: 14 movies and 7 video games

$Cost = 14 * \$20 + 7 * \$50$

$Cost = \$280 + \$350$

$Cost = \$630$

This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.

Option 3: 2 movies and 10 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 4: 8 movies and 6 video games

$Cost = 8 * \$20 + 6 * \$50$

$Cost = \$160 + \$300$

$Cost = \$460$

Hence, the correct option is 8 movies and 6 video games

4 0

3 years ago

Represent the geometric series using the explicit formula.

Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

$Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2$

General formula for geometric sequence is:

$a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio$

Putting the values of a1 and r

$a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}$

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

7 0

3 years ago

A sample of 15 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If s = 8.3 minutes, find the 95%

OleMash [197]

Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

Step :- (i)

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

95% of confidence intervals

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )$

Step:-(ii)

The degrees of freedom γ=n-1 = 15-1=14

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

$(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )$

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

(29.4261 ,36.9739)

Conclusion:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

8 0

3 years ago

Please help me on this one would be great help.

dusya [7]

T = 60

please mark me brianliest

8 0

3 years ago

Read 2 more answers