how is x > 4(with a dash under the symbol in the middle,symbol is not on my keyboard)graphed on a number line?

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

3 0

Answer:

The point on the line is not filled in (so just a white circle) because the sign is an "equal to" sign. The line always faces the opposite side of the jaws, so in the case of x > 4, the line goes right starting from the hollow point above 4.

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Solve the system of equations by using substitution. x+8y=-2 x-3y=20

zysi [14]

Answer:

(14, -2)

Step-by-step explanation:

To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

$x+8y=-2\\x=-2-8y$

Now we know what x equals. Let's substitute this into the second equation:

$x-3y=20\\(-2-8y)-3y=20$

We can then simplify:

$-2-8y-3y=20$ Given equation

$-2-11y=20$ Combine y terms

$-11y=22$ Add 2

$y=-2$ Divide by -11

So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

$x+8y=-2$

$x+8(-2)=-2$ Substitute for y

$x-16=-2$ Distribute 8

$x=14$ Add 16

So, we now know the value of x = 14.

Therefore, we know a solution to the system of equations is (14, -2).

4 0

3 years ago

Which statements are true about the graph of the function f(x) = 6x – 4 + x2?

kaheart [24]

Write the function as
f(x) = x² + 6x - 4

Note that
x² + 6x = (x + 3)² - 9

Therefore
f(x) = (x 3)² - 9 - 4
= (x + 3)² - 13

The vertex is at (-3, -13)., and the curve opens upward.
The axis of symmetry is x = -3.

Answer:
The vertex of the function is (-3, 13).
The graph increases over the interval (-3, -∞)