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rodikova [14]
3 years ago
8

One factor of 7x2 + 33x – 10 is

Mathematics
1 answer:
stiv31 [10]3 years ago
6 0

7x^{2} +33x-10=0

\implies 7x^{2} +35x-2x-10=0\\\implies7x(x+5)-2(x+5)=0\\\implies (7x-2)(x+5)=0

7x - 2 = 0\\\implies \boxed{\bold{x = \frac{2}{7} }}

x+5=0\\\implies \boxed{\bold{x=-5}}

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The running track behind the local gym is 34 mile long. The track and field team ran 2 23 laps around the track. How many miles
elena-s [515]
You probably meant that the team ran 2 \frac{2}{3} laps around the track.

Length of running track = 34 miles.
Since the team ran 2 \frac{2}{3} times around the track, in order to find the total number of miles we multiply the length of track by 2 \frac{2}{3}.

Therefore, total number of miles run by team will be equal to:
2 \frac{2}{3}*34 \\  \\ 
= \frac{8}{3}*34  \\  \\ 
= 91

Rounding of to nearest mile, the team ran 91 miles around the track. 
8 0
3 years ago
If the length of each side of a triangle is cut to 1/3 of its original size, what happens to the area of the triangle?
Blababa [14]

Answer:

The new area of the triangle is (1 / 9) th of the original area.

That is to say the original area of the triangle is decreased to (1/9) th of its value.

Step-by-step explanation:

The area of a triangle is given by, Area = 1/2 \times base  \times  height

If each side of a triangle is cut to 1/3 of its original size then the base will also become one third and the height will also become one third.

Therefore the new area  will be given by  = 1/2  \times (1/3 \times base)  \times  (1/3  \times height)

   = 1/9  \times 1/2  \times base  \times height

   = 1/9  \times Area.

The new area of the triangle is 1 / 9 th of the original area.

8 0
3 years ago
If you were to split $353 between 5 people, about how much would each receive?
irinina [24]

Answer:

70 dollers i hope it helps

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A line that a figure can be folded over so that both halves match each other perfectly.
Masteriza [31]
That sounds like it would be a reflection, like rut would be reflected over the line
6 0
3 years ago
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Write the recursive formula then determine the next term of 3,10,24,52
Schach [20]

Answer:

  • f[1] = 3
  • f[n] = 2·f[n-1] +4
  • 108

Step-by-step explanation:

We observe that first differences of the given numbers are ...

  10 -3 = 7

  24 -10 = 14

  52 -24 = 28

That is, each difference is 2× the previous one. This suggests an exponential relation that has a base of 2.

We notice that doubling a term doesn't give the next term, but gives a value that is 4 less than the next term. So, we can get the next term by doubling the previous one and adding 4.

Then our recursive relation is ...

  f[1] = 3 . . . . the first term

  f[n] = 2×f[n-1] +4 . . . . double the previous term and add 4

The next term is 2·52 +4 = 108.

7 0
4 years ago
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