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jok3333 [9.3K]
1 year ago
7

he graph of the function f(x) = (x − 3)(x + 1) is shown. On a coordinate plane, a parabola opens up. It goes through (negative 1

, 0), has a vertex at (1, negative 4), and goes through (3, 0). Which describes all of the values for which the graph is positive and decreasing? all real values of x where x < −1 all real values of x where x < 1 all real values of x where 1 < x < 3 all real values of x where x > 3
Mathematics
1 answer:
-Dominant- [34]1 year ago
6 0

Answer:

real x values is x < -1

Step-by-step explanation:

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Find the measure of the angle formed between the base of the cone and a line segment that represents the slant height
wel

Since there are no figures given, I will give an example. 


You are given a silo that is shaped as a closed cylinder with a conical end. The diameter of the silo is 4 ft, the length of the cylindrical part is 6 ft, and the entire length of the silo is 10.5 ft. Suppose that you are asked to find the total volume of grains that can be stored in the silo.

Given:

Cylinder part

D = 4 ft

H = 6 ft

Cone part

H = 10.5 – 6 = 4.5ft

D = 4ft


Required:

Volume of silo


Solution:
V of cylinder = πr²H

V of cylinder = π(4/2)²(6)

V of cylinder = 75.4 ft³


V of cone = πr²H/3

V of cone = π(4/2)²(4.5/3)

V of cone = 18.85 ft³

Total volume = 94.25 ft³

6 0
2 years ago
Meg is a veterinarian. In a given week, 50% of
neonofarm [45]
Meg would be a to be correct
7 0
3 years ago
A high school band asked a number of students whether they would like blue, gold, or both for the uniforms for the band. The res
Anna35 [415]
Given a Venn diagram showing the number of students that like blue uniform only as 32, the number of students that like gold uniform only as 25, the number of students that like blue and gold uniforms as 12 and the number of students that like neither blue nor gold uniform as 6.

Thus, the total number of students interviewed is 75.

Recall that relative frequency of an event is the outcome of the event divided by the total possible outcome of the experiment.

From the relative frequency table, a represent the relative frequency of the students that like gold but not blue.
From the Venn, diagram, the number of students that like gold uniform only as 25, thus the relative frequency of the students that like gold but not blue is given by
\frac{25}{75} = \frac{1}{3}=0.33=33\%

Therefore, a = 33% to the nearest percent.

Similarly, from the relative frequency table, b represent the relative frequency of the students that like blue but not gold.
From the Venn, diagram, the number of students that like blue uniform only as 32, thus the relative frequency of the students that like gold but not blue is given by
\frac{32}{75} = 0.427=42.7\%

Therefore, b = 43% to the nearest percent.
7 0
3 years ago
The change in altitude of a bird after 2 __ 1 2 seconds was –41 __ 1 4 feet. What was the average change in altitude of the bird
svlad2 [7]

Answer:

Average\ Change = -1\frac{7}{10} ft/s

Step-by-step explanation:

Given

Altitude\ Change = -4\frac{1}{4} \ ft

Time = 2\frac{1}{2}\ s

Required

Determine the average change

This is calculated as follows:

Average\ Change = \frac{Altitude\ Change}{Time}

This gives:

Average\ Change = \frac{-4\frac{1}{4}}{2\frac{1}{2}}

Average\ Change = -4\frac{1}{4}/2\frac{1}{2}

Convert to improper fractions

Average\ Change = -\frac{17}{4}/\frac{5}{2}

Convert to multiplication

Average\ Change = -\frac{17}{4}*\frac{2}{5}

Average\ Change = -\frac{17}{2}*\frac{1}{5}

Average\ Change = -\frac{17}{10}

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8 0
2 years ago
A triangle has angles measuring 58 and 93 degrees. What is the measure of the third angle?
wolverine [178]
The third angle is 29 degrees.

180 - 58 - 93 = 29
8 0
2 years ago
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