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padilas [110]
3 years ago
9

Sharon is paving a rectangular concrete driveway on the side of her house. The area of the driveway is 5x2 + 43x − 18, and the l

ength of the driveway is x + 9.
Additionally, Sharon plans to install a carport over a small portion of the driveway. The volume that the carport can enclose is 48x3 + 68x2 − 8x − 3, and the area of driveway beneath the carport is 8x2 + 10x − 3.

Determine the width of the entire driveway and height of the carport in terms of x. Replace the values of m and b to complete the expression that represents the width of the entire driveway on the first line, and then replace the values of m and b to complete the expression that represents the height of the carport on the second line.
help please on this
Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:the width =5x-2 hight=6x+1

Step-by-step explanation:

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The gcf of 20 and 84.
DIA [1.3K]
The GCF of 20 and 84 is 4... Such a low greatest right?
8 0
3 years ago
Read 2 more answers
If f(x) = 3x and g(x) = 1/x , what is the domain of (gºf)(x)?
Elanso [62]

Answer: 1/3x

Step-by-step explanation:

5 0
4 years ago
There are 4 blueberry, 6 raisins, and 2 plain bagels in a bag. Mike randomly selects two bagels without replacing the first bage
rodikova [14]

Answer:

The probability that he selects a raisin bagel and then a plain bagel is \frac1{11}.

Step-by-step explanation:

Probability:

The ratio of the number of outcomes of favorable event to total number of all possible outcomes is called probability of the favorable event.

Probability=\frac{\textrm{The number of favorable outcomes}}{\textrm{Total number of all possible}}

Given that, there are 4 blueberry, 6 raisins and 2 plain bangles in a bag.

Total number of bangles= (4+6+2)

                                        = 12

The probability that he selects a raisin

=\frac{\textrm{Number of raisin bangles}}{\textrm{Total number of bangles}}

=\frac{6}{12}

=\frac12

Total number of remaining bagels is =(12-1)=11

After selecting a raisin  bagel,the probability that he selects a plain bangle is

=\frac{\textrm{Number of plain bangles}}{\textrm{Total number of bangles}}

=\frac{2}{11}

Selecting of a raisin bangle and a plain bangle are both independent event.

The probability that he selects a raisin bagel and then a plain bagel is

=\frac{1}2\times\frac{2}{11}

=\frac1{11}

3 0
3 years ago
Aditya determines the remainder of -12x¹⁷+3x⁵-9x²-1/x+1 using the remainder theorem. How does he proceed to the correct answer?
Alenkasestr [34]

Answer:

Aditya evaluates the numerator of the expression when x = –1. He finds the remainder of the division to be –1

Step-by-step explanation:

– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1

To obtain the answer to question, let us apply the remainder theorem. This is illustrated below:

Assume:

x + 1 = 0

Subtract 1 from both side

x + 1 – 1 = 0 – 1

x = – 1

Next, we shall substitute the value of x into – 12x¹⁷+ 3x⁵ – 9x² – 1. This is illustrated below:

– 12x¹⁷+ 3x⁵ – 9x² – 1

x = – 1

– 12(–1)¹⁷+ 3(–1)⁵ – 9(–1)² – 1

– 12(–1) + 3(–1) – 9(1) – 1

12 – 3 – 9 – 1

= –1

Thus, using the remainder theorem,

– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1 will result to –1

4 0
3 years ago
On a map. 5 centimeters represents 2 kilometers. Which formula can you se
slamgirl [31]

Answer:

Step-by-step explanation:

Both of these questions involve proportions. You can set up an equation using equivalent fractions. You want to express to ratio of cm to km in Part A. Given the scale factor 5 cm = 2 km, then we can let c = the number of cm that represent an actual distance of 5 km. The following equation can be formed:

 

5/2 = c/5

 

Both of these fractions are a ratio of cm to km. To solve, we can cross-multiply.

 

2c = 25

c = 12.5 cm  

 

You can use a similar process for Part B.

6 0
3 years ago
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