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nikitadnepr [17]
3 years ago
9

Help me with part Aplease

Mathematics
2 answers:
Dafna1 [17]3 years ago
8 0

0.25 of the area of the land is 0.25 times the area of the land. You need to multiply 0.25 by 24.5 acres.

If you do it with pencil an paper, this is what it looks like.

       24.5

 x    0.25

-------------

      1225

 +   490

------------

      6125

Now you need to place the decimal point. 24.5 has one decimal place after the decimal point. 0.25 has 2 decimal places after the decimal point. 1 + 2 = 3. The answer must have 3 decimal places after the decimal point. Write 6125, and put your pencil tip right after the 5. Now count 3 places to the left, and place the decimal point between the 6 and the 1.

The answer is 6.125 acres.

MrMuchimi3 years ago
3 0

so we know that the builder is going to use one fourth of the park and we know that he has a total of 24.5 acres


take your total of 24.5 and divide it by 25%

<u>You do this by dividing by a fraction of 1/4, or a decimal of .25</u>

24.5/.25=6.125

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Using a graphing utility, find the exact solutions of the system. Round to the nearest hundredth and choose a solution to the sy
Margaret [11]

Answer:

Part 1) The exact solutions are

(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})   and  (\frac{-1-\sqrt{21}} {2},4-\sqrt{21})

Part 2) (1.79, 8.58)

Step-by-step explanation:

we have

y=x^{2} +3x ----> equation A

y=2x+5 ----> equation B

we know that

When solving the system of equations by graphing, the solution of the system is the intersection points both graphs

<em>Find the exact solutions of the system</em>

equate equation A and equation B

x^{2} +3x=2x+5\\x^{2} +3x-2x-5=0\\x^{2} +x-5=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2} +x-5=0  

so

a=1\\b=1\\c=-5

substitute in the formula

x=\frac{-1\pm\sqrt{1^{2}-4(1)(-5)}} {2(1)}

x=\frac{-1\pm\sqrt{21}} {2}

so

The solutions are

x_1=\frac{-1+\sqrt{21}} {2}

x_2=\frac{-1-\sqrt{21}} {2}

<em>Find the values of y</em>

<em>First solution</em>

For x_1=\frac{-1+\sqrt{21}} {2}

y=2(\frac{-1+\sqrt{21}} {2})+5

y=-1+\sqrt{21}+5\\\\y=4+\sqrt{21}

The first solution is the point (\frac{-1+\sqrt{21}} {2},4+\sqrt{21})

<em>Second solution</em>

For x_2=\frac{-1-\sqrt{21}} {2}

y=2(\frac{-1-\sqrt{21}} {2})+5

y=-1-\sqrt{21}+5\\\\y=4-\sqrt{21}

The second solution is the point (\frac{-1-\sqrt{21}} {2},4-\sqrt{21})

Round to the nearest hundredth

<em>First solution </em>

(\frac{-1+\sqrt{21}} {2},4+\sqrt{21}) -----> (1.79,8.58)

(\frac{-1-\sqrt{21}} {2},4-\sqrt{21}) -----> (-2.79,-0.58)

see the attached figure to better understand the problem

6 0
3 years ago
Widget Wonders produces widgets. They
navik [9.2K]
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
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a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
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So our function is
c(x) = (1/2)x^2 - (3)x + 20
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7 0
3 years ago
Which graph shows the line of best fit for the data
lys-0071 [83]

Answer:

Graph C shows the line of best fit for the data.

Step-by-step explanation:

The line of Graph C is more centered and even than the other ones

4 0
3 years ago
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Masteriza [31]

Answer:

1) A

2) C

Step-by-step explanation:

The range is all real y values, in this case it includes zero and continues going downward towards negative infinity.

The domain is all real x values. In this case it includes zero and continues increasing to positive infinity.

Hope this helps!

5 0
3 years ago
What is the answer and how to do this?​
zhenek [66]

Answer:

<u>a</u>

Step-by-step explanation:

Given :

⇒ P (Sumit) = 1/2

⇒ P (Sujan) = 1/3

⇒ P (Rakesh) = 1/a

⇒ P (total) = 3/4

============================================================

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⇒ 1/2 × 1/3 × 1/a = 3/4

⇒ 1/6 × 1/a = 3/4

⇒ 2/12 × 1/a = 9/12

⇒ a = <u>9/2</u>

6 0
2 years ago
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