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Andrews [41]
3 years ago
15

The floor of a rectangular cage has a length 4 feet greater than its width, w. James

Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

Answer:

x² + 8x + 12

Step-by-step explanation:

Area of a rectangle = length × width

Original dimensions:

Width = x

Length = x + 4

James will increase both dimensions of the floor by 2 feet

New dimensions:

Width = x + 2

Length = x + 4 + 2

= x + 6

Area of the new rectangle = length × width

= (x + 2) × (x + 6)

= x² + 6x + 2x + 12

= x² + 8x + 12

Equation which represents the

new area, N, of the floor of the cage = x² + 8x + 12

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What does the slope signify in this equation and why?​
Vadim26 [7]

Answer:

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x.

Step-by-step explanation:

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3 years ago
Which number completes the square to form a perfect square trinomial?<br> x2 +12x +
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Answer:

36

Step-by-step explanation:

(x + 6)(x+6)

F.O.I.L.

x^2 +6x + 6x + 36

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4 0
3 years ago
Read 2 more answers
Determine the measures of the angles of MNO if the measures of the angles are in the ratio 2:4:6
saul85 [17]
2:4:6 =2x :4x :6x
2x -1st angle
4x -2d one
6x - 3d one
2x+4x+6x=180 because MNO is a triangle
12x=180
x=180/12=15

2*15=30° -1st angle
4*15= 60° -2d one
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4 0
3 years ago
if $6700 is invested at 4.6% interest compounded semiannually, how much will the investment be worth in 15 years???
ella [17]
6700(1+ \frac{4.6}{100} )^{15}

6 0
3 years ago
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The city of Raleigh has 11700 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe
Vesnalui [34]

Answer:

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

The expected numbers of voters who would vote for Brown is 3604.

Step-by-step explanation:

The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.

The sample statistic can be used to estimate the population parameter.

They are known as the point estimate of the parameter.

The sample proportion of a variable <em>X</em> is given by:

\hat p=\frac{X}{n}

It is provided that of the <em>n</em> = 250 registered voters selected, the number of voters who said they would vote for Brown is <em>X </em>= 77.

Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:

\hat p=\frac{X}{n}

  =\frac{77}{250}\\

  =0.308

Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:

E(X)=N\times \hat p

         =11700\times 0.308\\=3603.6\\\approx 3604

Thus, the expected numbers of voters who would vote for Brown is 3604.

6 0
3 years ago
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