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san4es73 [151]
3 years ago
9

Helpppp the whole question is in the picture

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
5 0

Answer:

y=-1/4(x+3)²+3

Step-by-step explanation:

olchik [2.2K]3 years ago
5 0

Answer and explanation:

We khow that the standard form of a parabola is written this way:

ax^2 + bx +c

It can be factored if it has roots

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

In the graph we notice that the parabola has two x-intercepts wich means two roots

Let p and q be the roots

The equation can be written as:

a (x-p) (x-q)

We can khow the value of p and q from the graph

The parabola crosses the x-axis in -6,25 and 0.5

So the equation is:

Y=a(x-0.5) (x+6.25)

a is missing but we can find it

□□□□□□□□□□□□□□□□□□

Replace x and y bu the coordinates of a point in the parabola

Let's take (-3;3)

3= a (3-0.5) (3+ 6.5)

3 =a* 2.5* 9.5

a= 3/(2.5*9.5) = 0.12

So the equation is :

y= 0.12(x-0.5)(x+6.5)

y= (0.12x-0.6)(x+6.5)

y= 0,12x^2 + 0.78x -0.6x- 3.9

y= 0.12x^2 +0.18x-3.9

Divide by 3 to simplify :

y= 0.4x^2+0.6x-1.3

Multiply by 10 to get rid of the decimal numbers

y= 4x^2 + 6x -13

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Roman55 [17]
-3/4x + 5/6 y = 15

Multiply through by 6

-9/2x + 5y = 90

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5y = 90 + 9/2x

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y = 18 + 9/10x

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Comparing with the general equation of a straight line y = mx + c

Gradient (m) = 9/10 or 0.9
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Find an equation for the line that passes through the points , −4−5 and , 2,5 .
Ronch [10]

Answer:

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Step-by-step explanation:

One formula that is useful for writing equations of lines through two points is ...

... (x2 -x1)(y -y1) = (y2 -y1)(x -x1)

Using the given points, this becomes ...

... (2 -(-4))(y -(-5)) = (5 -(-5))(x -(-4))

... 6(y +5) = 10(x +4) . . . . simpify

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... 0 = 5x +20 -3y -15

... 0 = 5x -3y +5 . . . . . . . this is the <em>general form</em> equation of a line

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_____

<em>Comment on the solution</em>

As a rule, writing the equation this way from integer coefficients avoids fractions entirely. In the form with x on one side and y on the other, you can choose to move the x-term or leave it be, in order to ensure that it has a positive coefficient in the final equation. (Here we left it alone and moved the y-term.)

The standard form requires that the numbers in the equation be relatively prime (no common factors). That is why we divided by the common factor 2 in the development above.

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4 years ago
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Answer:

343

Step-by-step explanation:

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Therefore, the answer is 343.

6 0
3 years ago
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Find the range of values for x
mart [117]

The correct value is 18 for the range

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3 years ago
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