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3 years ago

Determine whether the system has no one, or infinitely many solutions.y = 2x + 6 y = -x - 3

Mathematics

2 answers:

slava [35]3 years ago

5 0

Answer:

One solution

Step-by-step explanation:

I think its 1 solution but I could be wrong, I looked it up and it said one solution.

Amanda [17]3 years ago

4 0

Answer:

one

Step-by-step explanation:

I am using substitution method:

2x+6=-x-3

subtract 6 from both sides

2x=-x-9

add x to both sides

3x=-9

divide by 3

x=-3

you can also graph this to see. I personally like using desmos.

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find the circumference of the circle shown below. Remember to use 3.14 for LaTeX: \piπ, and be sure to round your final answer t

nevsk [136]

Answer:

62.8 If rounded to the nearest hundredth it is 62.80

Step-by-step explanation:

1. Formula for circumference of a cirlcle is 2 (pi) r where for this problem,

2 =2,

pi= 3.14 and

r= 10 (1/2 of the diameter =radius)

2. 2 x 3.14 x 10

multiply all 3 numbers above, you get 62.8

3. Depending on your teacher or the test,

62.8 is your answer, if it HAS to be to the nearest hunderedth, and it's on a specific program, it might want you to enter the "0" at the end 62.80

7 0

3 years ago

13....................

Mashcka [7]

13.

(a)

$y=-5x^2+21x-3$

for x = 2:

$y=-5(2)^2+21(2)-3=-20+42-3=19$

for x = 5

$y=-5(5)^2+21(5)-3=-125+105-3=-23$

(b)

The graph is:

(c)

Using the graph:

$\begin{gathered} x=1.8,y=18.6 \\ x=0.548,y=7 \\ x=3.65,y=7 \end{gathered}$ $\begin{gathered} x=1.8 \\ y=-5(1.8)^2+21(1.8)-3=-16.2+37.8-3=18.6 \end{gathered}$ $\begin{gathered} y=7 \\ -5x^2+21x-3=7 \\ -5x^2+21x-10=0 \end{gathered}$

Using the quadratic formula:

$\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-21\pm\sqrt[]{21^2-4(-5)(-10)}}{2(-5)} \\ x=\frac{-21\pm\sqrt[]{241}}{-10} \\ x=0.54758 \\ or \\ x=3.6524 \end{gathered}$