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Evgen [1.6K]
3 years ago
6

Write the word sentence as an inequality. A number x minus 1/4 is no more than -3/4

Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0

Answer:

x-1/4 ≤-3/4

Step-by-step explanation:

A number x

x

minus 1/4

x-1/4

is no more than   (it cannot be greater than , but it can be equal to)

x-1/4 ≤

-3/4

x-1/4 ≤-3/4

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There are 120 choices.

 5 × 4 × 3 × 2×1 = 120 choices
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3 years ago
Let P(A)=47 and P(B|A)=38. What is the probability of events A and B occurring? Enter your answer in the box as a fraction in si
ella [17]

The value of the probability is 3/14

<h3>How to solve the probability?</h3>

The given parameters are:

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P(B | A) = 3/8

The probability of events A and B occurring is calculated using:

P(A and B) = P(B | A) * P(A)

So, we have:

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2 years ago
A 271⁄2-mile stretch of road needs repaving. A company bid on the repaving project, saying they could repave 21⁄4 miles of road
harkovskaia [24]

Answer:

D.)12 2/9

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
I need help on this please
tresset_1 [31]

Answer:

The y-intercept is (0, 8)

The x-intercepts are (2, 0) and (4, 0)

The axis of symmetry is a vertical line at x = 3

The vertex is (3, -1)

The graph has a minimum value -1 at x = 3

The domain is {x: x ∈ R} ⇒ (-∞, ∞)

The range is {y: y ≥ -1} ⇒ [-1, ∞)

Step-by-step explanation:

By using the given figure

The figure represents a parabola (the graph of a quadratic function

∵ The parabola intersects the y-axis at point (0, 8)

∴ The y-intercept is (0, 8)

∵ The parabola intersects the x-axis at point (2, 0) and (4, 0)

∴ The x-intercepts are (2, 0) and (4, 0)

∵ The axis of symmetry of the parabola is a vertical line that passes

  through the vertex of it

∵ The x-coordinate of the vertex point is 3

∴ The axis of symmetry is a vertical line at x = 3

∵ The vertex of the parabola is the lowest point on the graph

∵ The lowest point is (3, -1)

∴ The vertex is (3, -1)

∵ The vertex point of the graph is the lowest

∴ The graph has a minimum value -1 at x = 3

∵ The domain is all values of x belong to the parabola

∵ x could be any real number

∴ The domain is {x: x ∈ R} ⇒ (-∞, ∞)

∵ The range is all the values of y from the lowest point

∵ The y-coordinate of the lowest point is -1

∴ The range is {y: y ≥ -1} ⇒ [-1, ∞)

7 0
3 years ago
Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart. Algebraically det
Karo-lina-s [1.5K]

Answer:

Here is the full question:

Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region. Again, using the center of the half-circle as the origin, the struts are modeled by the equations  and . A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart.

Graph the two struts on the model of the roller coaster. Take a screenshot of your graph and paste the image below, or sketch a graph by hand.

Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart.

(a) Algebraically determine the x -value of where the beam should be placed.

(b) Explain where to place the beam

Step-by-step explanation:

Find attached the graphing calculator.

(a) The x-value where the beam should be placed is x = -4

(b) The beam should be placed directly above 4 feet from the center.

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2 years ago
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