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ki77a [65]
3 years ago
6

Find the slope of each graph. Express the answer in simplest form. Please show graph​

Mathematics
2 answers:
Sidana [21]3 years ago
7 0

Answer:

Step-by-step explanation:

slope is -3/2. rise/run. There's already a graph there so I'm assuming no need to show one

OlgaM077 [116]3 years ago
6 0

Answer:

slope: -3/2

y intercept: -1

equation: y = -3/2x-1

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Veronika [31]

Answer:

$ 1850

Step-by-step explanation:

As it is simple interest, the interest will be same each year.

Interest = 2312.50 - 2081.25 = $ 231.25

The amount borrowed = 2081.25 - 231.25 = $ 1850

3 0
2 years ago
Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p
zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3

------

<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y

------

<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\

------

<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

178=x^2+3x-y\\ \\ -6=4x-3y

8 0
3 years ago
Read 2 more answers
How many different orders can three students be selected from 10?
KATRIN_1 [288]
That would be the number of permutations of 3 from 10.

= 10P3  =  10! / 7! =  10*9*8 =  720
5 0
3 years ago
Question 1 of 10
ollegr [7]

Answer:

B  &  C

Step-by-step explanation:

  √16 / √100

=  4  /  10

=  2 / 5

7 0
2 years ago
9. Beth has 28 math problems for homework. She has 4 times as many problems as her sister, Mary. Which equation shows how many p
Lemur [1.5K]

Answer:

Answer is 28/4 = 7

Step-by-step explanation:

Given

Beth B = 28 problem

B has 4 times more problem than Mery m

Find

Total number of problem Mery m has if Beth has 4 times more problem than Beth

So,

B = 4 x m

m = B/4 = 28/4 = 7

Finally answer (d) is correct which is 28 ÷ 4 = m

3 0
3 years ago
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