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alukav5142 [94]
3 years ago
7

Complete the proof using indirect reasoning. Prove: If x > 3 then 2x + 3 > 9

Mathematics
1 answer:
weqwewe [10]3 years ago
4 0
When x > 2, 2x + 3 > 7 and when x = 2, 2x + 3 = 7. ... problem, assume that Christina's average points per game was greater than or equal to 3. Use . Indirect Proof: ... x is an odd integer must be true. Write an indirect proof of each statement. 9.
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Which quadratic equation has roots –2 and 1/5?
AysviL [449]

Answer:

The equation 5x^2\:+\:9x\:-\:2\:=\:0 has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

Step-by-step explanation:

Checking the equation

5x^2\:+\:9x\:-\:2\:=\:0

putting x = -2 in the equation

5\left(-2\right)^2\:+\:9\left(-2\right)-\:2\:=\:0\:

2^2\cdot \:\:5-9\cdot \:\:2-2=0

2^2\cdot \:5-18-2=0

20-20=0

0=0

L.H.S=R.H.S

putting x = 1/5 in the equation

5\left(\frac{1}{5}\right)^2\:+\:9\left(\frac{1}{5}\right)-\:2\:=\:0\:

5\left(\frac{1}{5}\right)^2+9\cdot \:\frac{1}{5}-2=0

\frac{1}{5}+\frac{9}{5}-2=0

2-2=0

0=0

L.H.S=R.H.S

As putting x = -2 and x = 1/5 satisfy the equation.

Therefore, the equation 5x^2\:+\:9x\:-\:2\:=\:0 has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

4 0
3 years ago
Anne owns a used car lot and in order to get cars to sell, she buys used cars at an
azamat

Answer:

It would be 2,000x+200

Step-by-step explanation:

okay it costs $200 to attend so that's a cost you are going to have to pay regardless. The $2,000 depends on how many cars you buy. So it would be 2,000 (times how ever many cars you buy) plus the $200.

3 0
3 years ago
Fill in the table using the graph.
Makovka662 [10]
Find an x value and f(x) is just it's y value. we can start with x=0

when x=0 y= -3

when x= 2 y= -2

and so on, choose easy to read numbers.

you can finish the rest, let me know if you wanna check your answers or if you are stuck.
8 0
3 years ago
Read 2 more answers
Lauren jogs the rate at a 2 mile every 1/2 hour. what is her until rate?
Fantom [35]

I 4 mph

Step-by-step explanation: I assume you’re writing Asking about the mph it would be be 4

5 0
2 years ago
PLEASE HELP SOLVE THIS!!!!!!!!!!!
Sphinxa [80]

9514 1404 393

Answer:

  a) yes; 12/15/17 ~ 20/25/x; SAS

  b) x = 28 1/3

Step-by-step explanation:

The left-side segments are in the ratio ...

  top : bottom = 12 : 8 = 3 : 2

The right side segments are in the ratio ...

  top : bottom = 15 : 10 = 3 : 2

These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.

Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:

  12/15/17 ~ 20/25/x

__

The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:

  x = 17/12 · 20 = 340/12

  x = 28 1/3

4 0
3 years ago
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