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2 years ago

Find the x-coordinate of the vertex of the graph of the equation y=-3x^2+6x+2

Mathematics

1 answer:

Ivanshal [37]2 years ago

4 0

Consider, pls, this solution:
according to the equation y= -3x²+6x+2, where a=-3, b=6 and c=2, and the rule x₀= -b/(2a):
x₀=-6/(-6)=1.
For more info see the attached graph.

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(0.4y - 3)/(1.5y + 9) = -7/5

Jlenok [28]

Answer:

y = -3.84.

Step-by-step explanation:

(0.4y - 3)/(1.5y + 9) = -7/5

Cross multiply:

2y - 15 = -10.5y - 63

12.5y = -48

y = -3.84

6 0

2 years ago

If a basketball player consistently shoots 80% from the free throw line and she takes 25 free throw shots throughout the course

faltersainse [42]

The formula for percentage is:

is/of = %/100

In the given problem,
is = ?
of = 25
% = 80

We get,

?/25 = 80/100

"is" is unknown so let "is" be "x"

x/25 = 80/100

We have to cross multiply. Meaning, we will multiply the numerator of one fraction by the denominator of the other fraction. Therefore,

100x = (80)(25)
100x = 2000
x = 20

The answer is 20. The basketball player is expected to make 20 free throw shots out of 25 in the entire game.

6 0

2 years ago

What is the probability of rolling a 4 (four) on the 1st die.... and a 1 (one) on the 2nd die. Yes.. it matters which die is whi

disa [49]

If you're doing probabilities, there is a 1:6 chance on both (im guessing dont trust me i did probabilities a long time ago)

4 0

2 years ago

How do we calculate the vertex of a quadratic in standard form?

kvasek [131]

Answer:

y = a $x^{2}$ + b x + c .

Step-by-step explanation:

Also (How to do it!):

We can find the vertex of a quadratic equation with these steps:

Get the equation in the form y = ax2 + bx + c.

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.

6 0

2 years ago

How to get the answer to 2/3(3x+6)=4x+3 without using distributive property.

Annette [7]

The answer for the given equation is x = 3.5.

Step-by-step explanation:

Given, 2 / 3 (3x + 6) = 4x + 3

Step 1:

Rearranging the given equation by subtracting the right side of the equation to the left side.

2 / 3 (3x + 6) - 4x + 3 = 0

Step 2:

Taking out the like terms, the equation becomes

(2 / 3) $\times$ 3 (x + 2) - (4x - 3) = 0

⇒ 2 (x + 2) - (4x - 3) = 0

Step 3:

Solving the equation for the value of x,

⇒ 2x + 4 - 4x + 3 = 0

⇒ -2x + 7 = 0

⇒ -2x = -7

⇒ x = 7 / 2 = 3.5.

Hence the value of x = 3.5.

5 0

2 years ago