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3 years ago

Can you help please?

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

4 0

a straight horizontal line on a speed-time graph means that speed is constant.

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What is the y-intercept and slope of 3x-5y=15

vlada-n [284]

Answer:

Slope= 3/5

y-intercept= -3

Step-by-step explanation:

3 0

3 years ago

A line crosses the coordinates (-3,5) and (4,-2). What is the slope of the line?

ICE Princess25 [194]

Answer:

Slope = -1

Step-by-step explanation:

$\frac{-2-5}{4-(-3)}=\frac{-7}{7} =-1$

8 0

3 years ago

A parabola has a line of symmetry x = -5. The minimum value of the quadratic function that it represents is -7. Find a possible

Ilya [14]

hello :
the parabola's equation is : f(x) = a(x-h)²+k
the verex is (h,k)
line of symmetry x = h
The minimum or maximum value is : k
a possible equation of this parabola is : f(x) = a(x+5)²-7

6 0

3 years ago

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

Anastasy [175]

Answer:

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

Step-by-step explanation:

An equation in the vertex form is written as

$y = a (x-h) + k$

Where the point (h, k) is the vertex of the equation.

For an equation in the form $ax ^ 2 + bx + c$ the x coordinate of the vertex is defined as

$x = -\frac{b}{2a}$

In this case we have the equation $y = 9x^2 + 9x - 1$ .

Where

$a = 9\\\\b = 9\\\\c = -1$

Then the x coordinate of the vertex is:

$x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}$

The y coordinate of the vertex is replacing the value of $x = -\frac{1}{2}$ in the function

$y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}$

Then the vertex is:

$(-\frac{1}{2}, -\frac{13}{4})$

Therefore The encuacion excrita in the form of vertice is:

$y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

To find the coefficient a we substitute a point that belongs to the function $y = 9x^2 + 9x - 1$

The point (0, -1) belongs to the function. Thus.

$-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}$

$-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9$

Then the written function in the form of vertice is

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

7 0

3 years ago

What is the answer to 7-7(1x-7)>-4+5x

earnstyle [38]

7 - 7(x - 7) > -4 + 5x
7 - 7x + 49 > -4 + 5x
56 - 7x > -4 + 5x
-7x - 5x > -4 - 56
-12x > -60
x < -60/-12
x < 5

6 0

3 years ago