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zaharov [31]
3 years ago
5

Can somebody help me with this

Mathematics
1 answer:
bekas [8.4K]3 years ago
3 0

Answer:

8) 260 mm

9)? .............

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Mai will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59.96 and costs an a
juin [17]

Answer:

600 miles.

Step-by-step explanation:

So basically we can write both plans as linear functions:

F(x) = $59.96+$0.14 . x

S(x) = $71.96+$0.12 . x

Where F(x) is the first plan, S(x) is the second one and X are the miles driven.

To know how many miles does Mai need to drive for the two plans to cost the same, we equalize both equations and isolate x.

F(x) = S (x)

$59.96+$0.14.x = $71.96+$0.12.x \\0.14x-0.12x=71.96-59.96\\0.02x=12\\x=12 : 0.02\\x= 600

Mai has to drive 600 miles for the two plans to cost the same-

4 0
3 years ago
What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=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}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

x=\frac{8\pm\sqrt{4}} {2}

x=\frac{8\pm2} {2}

x=\frac{8+2} {2}=5

x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0
3 years ago
Calculate the surface area of a hockey puck with a height of 1 in. and a diameter of 3 in
uysha [10]

Answer:

23.56

Step-by-step explanation:

2(\pi r^{2}) + 2\pirh

2(\pi 1.5^{2})+ 2\pi(1.5)(1)

23.56

6 0
3 years ago
In am election, Mrs.Jones received 70% of the 1,500 votes cast. How many votes did Mrs. Jones receive
WARRIOR [948]

Hello!

To calculate how many votes Mrs. Jones had received, you would begin by converting 70% into a decimal, and then multiplying that decimal by the total number of votes.

Remember, all percentages are out of 100. So, 70/100 can be simplified into 7/10. As a decimal, 7/10 would be 0.7.

Next, we multiply 0.7 by the total number of votes, which is 1,500.

0.7 · 1500 = 1050

Therefore, in this election, Mrs. Jones received 1,050 votes out of the total 1,500 votes casted.

3 0
4 years ago
Which equation could generate the curve in the graph below?y=3x^2-2x+1
4vir4ik [10]
If you are asking what is the graph of y = 3x^2 -2x+1.

Then, the attached file would be the answer.

To check, b^2 - 4(a)(c), for each equation and use these facts:

If b^2 - 4(a)(c) = 0, there is only one real root meaning, the graph touches the x-axis only in one point.

If b^2 - 4ac > 0, there are two real roots meaning, the graph touches the x-axis in two different points.

If b2 - 4ac < 0, there are no real roots then the graph does not touch the x-axis. This would be the case for y = 3x^2 - 2x + 1.
Solution:
(-2)^2 -4(3)(1) = 4 - 12 = -8 < 0 will result in not real roots. 

7 0
3 years ago
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