All categories

3 years ago

Which of the following points is in the solution set of y > -x2 + 5? (0, 5) (1, 3) (2, 4)

Mathematics

1 answer:

mylen [45]3 years ago

5 0

Answer:

(2, 4)

Step-by-step explanation:

The only point that satisfies the inequality is (2, 4).

(0, 5) : -0^2 +5 = 5 . . . . . not > 5

(1, 3) : -1^2 +5 = 4 . . . . . . 3 is not > 4

(2, 4) : -2^2 +5 = 1 . . . . . . 4 is greater than 1, so this point is in the solution set.

You might be interested in

Thomas can go to school and ice cream parlor on the bus and his bicycle. In how many ways can he reach the school and parlor?

ExtremeBDS [4]

Answer:

2 ways, on the bus or the bicycle!

Step-by-step explanation:

Hope this helps

5 0

3 years ago

A fair spinner has 11 equal sections: 4 red, 4 blue and 3 green.

djyliett [7]

The probability of getting the same colour twice is approximately 34%.

6 0

3 years ago

Which graph is the solution to the inequality –3x − 6 > 9?

Sati [7]

Answer:

See attachment

Step-by-step explanation:

First solve this like a normal equation:

-3x - 6 > 9

Add 6 to both sides:

-3x > 9 + 6

-3x > 15

Divide by -3 and remember to switch the inequality sign:

x < 15/(-3)

x < -5

Think about the graph of x = -5. It's a vertical line crossing the y-axis at x = -5. Now, we have x is less than -5. That means all the values less than -5 should be viable solutions. So, shade the part of the graph to the left of the vertical line.

Also, since we have x < -5 and not x ≤ -5, the line should be dotted.

See graph attached.

<em>~ an aesthetics lover</em>

5 0

3 years ago

PLEASE HELP I NEED TO FINISH THIS

Akimi4 [234]

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:ujjj

6 0

4 years ago

Jacob consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Jacob's body

sasho [114]

Answer: 0.87400mg of caffeine.

Step-by-step explanation:

You have

N(t)=N0(e^−rt)(1)

as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,

N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)

Taking the last 2 parts of (2) to the power of 0.1t gives

e^−rt=0.2601^.1t . .(3)

This means that

N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)

Also,

N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1

= 0.87400mg of caffeine.

6 0

3 years ago