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Ann [662]
2 years ago
11

Please help ASAP

Mathematics
1 answer:
GaryK [48]2 years ago
6 0

Answer:

  • Any value of k

Step-by-step explanation:

The quadratic expression can be factored into two binomials if it has two real roots.

<u>Two real roots possible with non-negative discriminant:</u>

  • D ≥ 0

As D = b² - 4ac, we get the following inequality

  • k² - 4(3)(-8) ≥ 0
  • k² + 96 ≥ 0
  • k² ≥ - 96

This is true for any value of k

  • k ∈ (- ∞, + ∞)
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Find the slope if it exits 2x-5y=6
77julia77 [94]
In standard form, slope is always the negative of the x coefficient over the y coefficient.

If you dont want to have that memorized, you can use algebra to get the equation of the line into slope-intercept form (y=mx+b)

Set it equal to y

2x - 5y = 6
2x = 5y + 6
2x - 6 = 5y
(2/5)x - 6/5 = y
Now it is in slope intercept form. In slope intercept form, the coefficient multiplying with x is the slope of the line. Therefore, the slope equals 2/5.
6 0
3 years ago
Read 2 more answers
Suppose Mahkah makes a Native American lunch in a pot that is shaped like a right cylinder. If
Harman [31]

The pot can hold 5.23 quarts

Step-by-step explanation:

  • Step 1: Find the volume of the right cylinder shaped pot.

Diameter of the pot = 8 in

⇒ Radius = 4 in

Height = 6 in

⇒ Volume of the pot = πr²h = 3.14 × 4² × 6

                                   = 301.44 in³

  • Step 2: Convert inches to quarts.

1 in³ = 0.017316 liquid quarts

⇒ 301.44 in³ = 301.44 × 0.017316 = 5.23 quarts

6 0
3 years ago
The graph shows a rectangle that has been rotated. Which statement is FALSE?
lukranit [14]
D. Is the false statement. Clearly, the rectangle was shifted and is no long in its same position
7 0
3 years ago
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What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!
Delicious77 [7]
ANSWER
f(x)= \frac{1}{4} {(x - 1)}^{2}

EXPLANATION

Since the directrix is
y = - 1

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

(1,1)

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

{(x - h)}^{2} = 4p(y - k)
where
(h,k)

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
(1, - 1)

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
h = \frac{1 + 1}{2} = 1

and
k = \frac{ - 1 + 1}{2} = 0

The equation of the parabola now becomes,

(x - 1) ^{2} = 4p(y - 0)

|p| = 1

Thus, the distance between the vertex and the directrix.

This means that,

p = - 1 \: or \: 1

Since the parabola opens up, we choose
p = 1
Our equation now becomes,

{(x - 1)}^{2} = 4(1)(y - 0)

This simplifies to
{(x - 1)}^{2} = 4y

or

y = \frac{1}{4} {(x - 1)}^{2}

This is the same as,

f(x)= \frac{1}{4} {(x - 1)}^{2}

The correct answer is D .
4 0
3 years ago
The x-intercept has a y coordinate of 0.<br><br><br> True<br> False
Ghella [55]
False, its the other way around.
The y-intercept has an x coordinate of 0.
So, false.

5 0
3 years ago
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