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QveST [7]
3 years ago
6

What's the slope, y intercept, and rate of change of y=2x+5?

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0
Slope: 2
y intercept: 5
rate of change : 2/1
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The HHS Math Talent show is giving out cylinder trophies this year to its winners. The trophy is a cylinder with a
Tatiana [17]

Need mas

Find volume

  • πr²h
  • π(6)²(18)
  • 36(18)π
  • 2034.7cm³

Mass

  • Density×Volume

As volume is same

Divide their densities to find ratio

  • Gold /Silver
  • 19.32/10.5
  • 1.84 times heavier is gold
7 0
2 years ago
The graph of h(x) is shown. Graph of h of x that begins in quadrant two and decreases rapidly following the vertical line which
fgiga [73]

Answer:

<u>x-intercept</u>

The point at which the curve <u>crosses the x-axis</u>, so when y = 0.

From inspection of the graph, the curve appears to cross the x-axis when x = -4, so the x-intercept is (-4, 0)

<u>y-intercept</u>

The point at which the curve <u>crosses the y-axis</u>, so when x = 0.

From inspection of the graph, the curve appears to cross the y-axis when y = -1, so the y-intercept is (0, -1)

<u>Asymptote</u>

A line which the curve gets <u>infinitely close</u> to, but <u>never touches</u>.

From inspection of the graph, the curve appears to get infinitely close to but never touches the vertical line at x = -5, so the vertical asymptote is x = -5

(Please note:  we cannot be sure that there is a horizontal asymptote at y = -2 without knowing the equation of the graph, or seeing a larger portion of the graph).

5 0
2 years ago
Read 2 more answers
Which is the standard form of the equation of the parabola that has a vertex of (–4, –3) and a directrix of x = 2?
Zielflug [23.3K]

Answer:

Equation of the parabola is \left(y+3\right)^{2}=-24(x+4)

Step-by-step explanation:

We have to find the equation of a parabola with vertex is (-4,-3) and a directrix x=2.

As vertex is (-4,-3) that means parabola is in third quadrant.

So the standard formula of the parabola will be y²= -4px through origin (0,0).

But when a parabola is shifted from origin to the left of y axis so the equation will be (y-shifting form y axis)² = -4(distance between vertex and directrix)(x-shifting from x axis)

\left\{y-(-3)\right\}^{2}=(-4\times 6)\left\{x-(-4)\right\}

\left(y+3\right)^{2}=-24(x+4).



5 0
4 years ago
Read 2 more answers
Which expression is equivalent to 144 Superscript three-halves? 216 1,728 RootIndex 3 StartRoot 12 EndRoot RootIndex 3 StartRoot
Afina-wow [57]

Question:

Which expression is equivalent to 144^(3/2)

Answer:

1728

Step-by-step explanation:

The options are not well presented. However, this is the solution to the question.

Given:

144^(3/2)

Required:

Find Equivalent.

We start my making use of the following law of logarithm.

A^(m/n) = (A^m)^1/n

So,

144^(3/2) = (144³)^½

Another law of indices is that

A^½ = √A

So,

144^(3/2) = (144³)^½ = √(144³)

144³ can be expanded as 144 * 144 * 144.

This gives

144^(3/2) = √(144 * 144 * 144)

The square root can then be splitted to

144^(3/2) = √144 * √144 * √144

144^(3/2) = 12 * 12 * 12

144^(3/2) = 1728.

Hence, the equivalent of 144^(3/2) is 1728

8 0
3 years ago
Read 2 more answers
FIND Y INTERCEPT OF THE LINE ON THE GRAPH.
bekas [8.4K]

Answer:

the y-intercept is -1, or (0, -1)

Step-by-step explanation:

Identify the coordinates of the point where the line crosses the y-axis. They are (0, -1), and so the y-intercept is -1, or (0, -1).

7 0
4 years ago
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