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3 years ago

Can someone help me out with this my grade are bad

Mathematics

1 answer:

leonid [27]3 years ago

5 0

Answer:

(4, 3)

Step-by-step explanation:

hope this helps :)

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The point (2,1) is the turning point of y=x^2+ax+b where a and b are integers.Find the values of a and b

Umnica [9.8K]

In any parabola, the vertex is the turning point. And the x-coordinate of the vertex can be found using

$x_V=-\dfrac{b}{2a}$

So, in your case, you have

$2=-\dfrac{a}{2}\iff a=-4$

So, your equation actually looks like

$y=x^2-4x+b$

Now impose the passing through (2,1), i.e. substitute x=2, y=1 and solve for b:

$1=4-8+b \iff b=5$

5 0

4 years ago

What is the slope of the line that passes through the points (2, 3) <br> and (–2, 6)?

saw5 [17]

Slope = (6 - 3)/(-2-2)
= 3/-4
= -3/4

answer
slope = -3/4

4 0

3 years ago

Read 2 more answers

8/15 + 2/5 pls solve this for me someone pls

photoshop1234 [79]

Answer: 8/15 + 2/5 = 0.93etc or 14/15

Step-by-step explanation:

7 0

2 years ago

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an

denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

$Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455$

$Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4$

Total number of possible results:

$results = 4*455\\results = 1820$

3 0

4 years ago

A firework is fired vertically into the air at a speed of 100 m/s. The expression −5t2 + 100t + 40 gives the height of the firew

ladessa [460]

Answer: -5(t^2-20t-8)

Step-by-step explanation:

3 0

4 years ago