By substituting each value of the domain of x in the function and solving it we will get the range of the function for respective domain
The given function is :
f(x) = -2x - 5
For x = -2 , f(x) is:
f(-2) = (-2*-2) - 5 = 4 - 5 = -1
For x = -1, f(x) is :
f(-1) = (-2*-1) - 5 = 2 - 5 = -3
For x = 1 , f(x) is
f(1) = (-2*1) - 5 = -2 -5 = -7
For x = 2, f(x) is
f(2) = (-2*2) - 5 = -4 -5 = -9
The range is -1 , -3 , -7 , -9
Hope this helps ..!!
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a fair cube is used in a game . the face of the cube are labeled 1 through 6 . what is the probability of a player rolling a number grater than 4 ?
What is 0.673 rounded to the nearest hundredths
0.673 rounded to the nearest hundredth as 0.67
The digit in the smallest location is unaffected if it is less than 5 in number. Rounding down is the process of reducing a number to zero after a certain number of digits. The digit in the smallest location is added with +1 if it is bigger than or equal to 5.
To round off 0.673 to the nearest hundredth means hundredth digit after decimal, To do so take a look on the thousandth digit after decimal, If it is greater than 5 or equal to 5 increase the hundredth digit after decimal by 1 otherwise no change,
Here, the thousandth digit is 3, 3<5. So, no increment is required.
It will remain as 0.67.
Thus, 0.673 is 0.67 after rounding off to the nearest hundredth.
Learn more about round off, here:
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The area of a rectangle is 9.312 x 104 cm2 and the width is 2.56 x 102 cm. What is the length? A) 3.6375 x 102 B) 3.6375 x 106 C) 6.752 x 102 D) 6.752 x 106
Step-by-step explanation:
For USATestprep people.
solve proportion 12/p = 36/45
A regular pyramid has a _____ base and a vertex over the center of the base.
Regular Polygon~~~~ APEX
what is the solution to the proportion 3/m=12/15
2/5 of the children in a club are girls,if there are 24 boys,how many children are there altogether?how many more boys than girls are there
Carson’s estimate for the cost of tiling his bathroom floor is $25 plus $5 per square foot. He says that he can model the cost with a linear function. Is Carson correct? Why or why not?
The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If the flagstick is 6 feet tall, how far away is the golf ball from the base of the flag stick?
A. 13.5 ft
B. 12.3 ft
C. 9.8 ft
D. 14.6 ft
E. 15.1 ft
Answer:
The Golf ball from the base of the flag stick is 13.5 ft
A is correct.
Step-by-step explanation:
Please see the attachment for figure.
Let AB is height of flag stick. AB=6 ft
BC is distance of golf ball from base of the flag stick.
In ΔABC, ∠B=90°
[tex]\dfrac{AB}{BC}=\tan 24^\circ[/tex]
[tex]\dfrac{6}{BC}=0.4452[/tex]
[tex]BC=13.5[/tex] ft
Hence, The Golf ball from the base of the flag stick is 13.5 ft
Find the prime factorization of 60
Which equation is equivalent to
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If two polygons are similar then the corresponding sides are equal and the corresponding angles are proportional. True or False?
Can someone please explain this to me? I keep getting -infinity as the answer.
helppppppppppppppppppppp
The price of a share of stock started theday at $37. During the day it went down $3, up $1, down $7, and up $4.What was the price of a share at the end of the day?
solve 30 - 9.8x
A.) x = 39.8
B.) x = 20.2
C.) x = 3.06
D.) x = 0.33
Answer: x = 3.06
Step-by-step explanation:
You do 30 divided by 9.8 and you get 3.06
Choose the right answer. If the distance on a map from point R to point T measures 3.0 inches and the scale is 1 inch = 0.5 miles, what is the distance in miles from point R to point T? ______ miles
A. 6.0
B. 3.0
C. 1.5
Answer: The distance from point R to point T is 1.5 miles.
Step-by-step explanation:
In the map, the scale is,
1 inches = 0.5 miles,
3 inches = 3 × 0.5 = 1.5 miles,
Thus, in the map 3 inches shows 1.5 miles,
Since, in the map, the distance from point R to point P = 3 inches,
Thus, the actual distance from point R to point P = 1.5 miles.
⇒ Option C is correct.
There is an old riddle about a frog at the bottom of a 20-foot well. if he climbs up 3 feet each day and slips back 2 feet each night, how many days will it take him to reach the 20-foot mark and climb out of the well?
which term describes the red curve of the figure below?
Answer:
A) Hyperbola.
Step-by-step explanation:
Given : Figure .
To find : Which term describes the red curve of the figure below.
Solution : We can see from the given figure two red curve up and down .
Hyperbola : A hyperbola is two curves that are like infinite bows.
Therefore, A) Hyperbola.
ALGEBRAIC PROOF PLEASE HELP IT IS MY LAST QUESTION I AM STUMPED
Use the following problem to answer the question below:
Given: 3(x – 4) = 33
Prove: x = 15
3(x – 4) = 33 Given
3x – 12 = 33 A
3x – 12 + 12 = 33 + 12 B
3x + 0 = 45 C
3x = 45 D
x = 15 Division Property of Equality
What is the reason for D?
A quarter circle is attached to the side of a square as shown.
What is the best approximation for the area of this figure?
Use 3.14 to approximate pi.
28.6 m²
41.1 m²
66.24 m²
116.5 m²
A) –6n + 2mn – 25np
B) –6n + 2m – 25np
C) –6n – 2mn + 25np
D) –24n + 8mn – 100np
△ XYZ∼ △ DEF, YZ is 10 meters, XZ is 15 meters, and EF is 8 meters. What is DF?
△ XYZ∼ △ DEF, YZ is 10 meters, XZ is 15 meters, and EF is 8 meters. What is DF?
Solution:
As, △ XYZ∼ △ DEF , so the ratio of sides of triangle is equal.
So, we have, [tex] \frac{XY}{DE} =\frac{YZ}{EF} =\frac{XZ}{DF} [/tex]
Using, [tex] \frac{YZ}{EF} =\frac{XZ}{DF} [/tex]
So, we get,[tex] \frac{10}{8} =\frac{15}{DF} [/tex]
Now, to solve for DF, we must simplify
Simplifying,[tex] \frac{10}{8} =\frac{5*2}{4*2}=\frac{15}{DF) [/tex]
[tex] \frac{5}{4} =\frac{15}{DF} [/tex]
To simplify, Let us multiply by 4*DF on both sides
[tex] \frac{5*4DF}{4} =\frac{15*4DF}{DF} [/tex]
[tex] \frac{5DF}{1} =\frac{15*4}{1} [/tex]
So, 5 DF=15*4=60
To solve for DF, let us divide by 5 on both sides
[tex] \frac{5}{5} DF=\frac{60}{5} [/tex]
[tex] \frac{1}{1} DF=\frac{12}{1} [/tex]
So, DF=12meters
what is the classification for this polynomial?
4
Choices:
A. Monomial
B. Binomial
C. Trinomial
Which expression is equivalent to (b^n)^m
Answer:
C. [tex]b^{n\cdot m}[/tex]
Step-by-step explanation:
We have been given an expression [tex](b^n)^m[/tex]. We are asked to find the equivalent expression to our given expression.
Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex], we can write our given expression as:
[tex](b^n)^m=b^{n\cdot m}[/tex]
Therefore, option C is the correct choice.
How many possible outcomes would there be if three coins were each tossed once?
Two tons of water is pumped into a tank 15 ft. high in 5 minutes. Determine the power output of the pump.
Answer:
0.364 horsepower
Step-by-step explanation:
You want to know a pump's power output if it raises 2 tons of water 15 ft in 5 minutes.
PowerThe power is conveniently measured in horsepower. One horsepower is 33,000 ft·lb/minute.
Here, we have (2t · 2000 lb/t · 15 ft)/(5 min) = 12000 ft·lb/min
In terms of horsepower, that is ...
(12000 ft·lb/min) / (33000 ft·lb/min/hp) = 4/11 hp ≈ 0.364 hp
The power output of the pump is about 0.364 horsepower.
__
Additional comment
That's about 271 watts.
The distance dimensions are in feet, so we assume the tons are US short tons of 2000 lb each.
what is the domain of the function y=3sqrt(x)
What is the sum of the geometric series:
3
∑5(-2/3)^i
i=0