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1 year ago

What is the slope of the following linear equation? y = 4x - 7

Mathematics

1 answer:

Mrac [35]1 year ago

4 0

Answer:

The slope is 4

Step-by-step explanation:

This equation is in slope intercept form

y = mx+b

where m is the slope and b is the y intercept

y = 4x-7

The slope is 4 and the y intercept is -7

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! Graph g(x) = 3x^2 - 12x - 3

Paul [167]

Answer: Vertex = (2, -15) 2nd point = (0, -3)

Step-by-step explanation:

g(x) = 3x² - 12x - 3

= 3(x² - 4x - 1)

a=1 b=-4 c=-1

Find the x-value of the vertex by using the formula for the axis of symmetry: $x = \dfrac{-b}{2a}$

$x = \dfrac{-(-4)}{2(1)}$

$= \dfrac{4}{2}$

= 2

Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3

g(2) = 3(2)² - 12(2) - 3

= 12 - 24 - 3

= -15

So, the vertex is (2, -15) ← PLOT THIS COORDINATE

Now, choose a different x-value. Plug it into the equation and solve for y. I chose x = 0

g(0) = 3(0)² - 12(0) - 3

= 0 - 0 - 3

= -3

So, an additional point is (0, -3) ← PLOT THIS COORDINATE

5 0

2 years ago

It has to do with slopes or something

Ostrovityanka [42]

What is it that I am supposed to be doing?

4 0

2 years ago

Not sure what number 3 is. Linear Relationships. Any help?

IgorC [24]

The value of y varies directly with x, so $\dfrac{y}{x}=\text{const}$

We have:

$\dfrac{y_1}{x_1}=\dfrac{y_2}{x_2}\\\\\\x_1=\dfrac{1}{4}\qquad y_1=25\qquad\qquad x_2=2\dfrac{1}{3}\qquad y_2=?\\\\\\
\dfrac{25}{\frac{1}{4}}=\dfrac{y_2}{2\frac{1}{3}}\\\\\\
100=\dfrac{y_2}{2\frac{1}{3}}\qquad|\cdot2\dfrac{1}{3}\\\\\\
100\cdot2\dfrac{1}{3}=y_2\\\\\\\boxed{y_2=233\frac{1}{3}}$

Answer A)

5 0

2 years ago

*SOMEONE WHO CAN SIMPLY ORDER INTERVALS!*

Travka [436]

Answer:

Step-by-step explanation:

The time intervals are [0.00, 0.10], [0.10, 0.30], and [0.30, 0.60].

The rate of change in each interval is the slope of the line between the endpoints:

m = [f(b) − f(a)] / (b − a)

Filling out the table:

$\left[\begin{array}{ccc}Time (s)&Height (ft)&Rate\ of\ change(ft/s)\\0.00&96.44\\&&\frac{97.60-96.44}{0.10-0.00}=11.6 \\0.10&97.60\\&&\frac{98.57-97.60}{0.30-0.10}=4.85\\0.30&98.57\\&&\frac{98.30-98.57}{0.60-0.30}=-0.90\\0.60&98.30\end{array}\right]$

The intervals are already in order from greatest to least. Simply reverse the order to get least to greatest:

[0.30, 0.60]

[0.10, 0.30]

[0.00, 0.10]

5 0

2 years ago

Simplify this expression 10a + 6x-2a-3x

kondor19780726 [428]

Answer:

$3x+8a$

Step-by-step explanation:

Given the following question:

$10a+6x-2a-3x$

In order to find the answer, we combine like terms and then simplify.

$10a+6x-2a-3x$
$=6x-3x+10a-2a$
$6x-3x=3x$
$10a-2a=8a$
$=3x+8a$
$3x+8a$

Hope this helps.

4 0

2 years ago