Answer:
The true statements are -: A f(3)>0 , C g(-1)=0.8 and D g(-1)< f(-1)
Step-by-step explanation:
Given f(x)= 5- 0.2x and g(x)= 0.2(x+5)
(A) f(3) > 0
Putting this value in the given equation -
f(3) =5 -0.2(3)
f(3)=5 - 0.6
f(3) =4.4
Therefore , f(3) > 0 . This is a true statement .
(B) f(3) > 5
We got the value of f(3) from the above equation,
Therefore , f(3) = 4.4 , hence f(3) > 5 option is False.
(C) g(-1) = 0.8
Taking the second given equation ,
g(-1) = 0.2 ( -1+ 5)
g(-1) = 0.2 (-4)
Therefore, g(-1) = -0.8 . Hence , this statement is true.
(D) g(-1) < f(-1)
g(-1) = -0.8
f(-1) =5 - 0.2(-1)
f(-1) = 5 +0.2
f(-1) = 5.2
Therefore , g(-1) < f(-1) , Hence this option is true.
(E) f(0) =g(0)
f(0) = 5 + 0.2(0)
f(0) = 5
g(0) = 0.2(0+5)
g(0) = 0.2 +5
g(0) = 1
Therefore , f(0)[tex]\neq[/tex] g(0) , Hence , the option is false .
Hence , true statements about the functions are - A , C , D .
Which graph represents the function f(x) = 1/3 |x|?
Answer:
b
Step-by-step explanation:
f(x) = 0.5x -6 evaluate f (3) =
Answer:
F(3) = -4.5
Step-by-step explanation:
Replacing x with 3 in F(x) = 0.5x - 6 results in F(3) = 0.5(3) - 6, or -4.5
F(3) = -4.5
An airplane is preparing to land at an airport. It is 42,000 feet above the ground and is descending at the rate of 3,300 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be?
Answer:
7 minutes
Step-by-step explanation:
From the question :
Descent = ascent
Initial height * descent rate = initial position * ascent rate
Plane on ground is at an initial position or height of 0
42000 - 3300t = 0 + 2700t
Where, t = time
-3300t - 2700t = 0 - 42000
-6000t = - 42000
t = 42000 / 6000
t = 7 minutes
Please Answer This, the question is on the picture. it needs to be a fraction
will mark brainllest if its right, no links!
Answer:
x = 33
Step-by-step explanation:
sin 29° = 16/x
x = 33
someone byes 24 notebooks they each cost $1.60 what is the total cost? basicly just this: (24x$1.60)
x/2 + 4 < 18
What is the value of x?
And what does the point on the number line look like?
Someone help me
Worth 29 points
Answer:
x<28
Step-by-step explanation:
Isolate x
First, subtract 4 on both sides
x/2+<14
Then, multiply both sides by 2 to get x alone
x<28
On a number line, there would be an open circle (not filled in dot) on 28, and the entire left side of the number line would be filled in
Answer:
x<28
Step-by-step explanation:
x/2+4<18
multiply the 2 on both sides to get rid of it
x+8<36
isolate the x
x<28
on the number line, it's an open circle with the arrow pointing to the left.
Gilbert's weekly pay in dollars, D. can be represented by the function D = 13.5h, where h represents the number of hours
he works during a week.
Answer:
she will have 27,216 dollars after 12 week
27,216 per week
Step-by-step explanation:
12 week has (12*7*24)=2,016 hours
D = 13.5h D = 13.5*(2,016 )=27,216
the pair of polygons is similar. find the missing side measure.
Answer:
x = 3
Step-by-step explanation:
8.4 ÷ 6 = 1.4
4.2 ÷ 1.4 = 3
Joey made strawberry jam and raspberry jam. He made enough strawberry jam to fill 1/2 of a jar. If he made 2/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
Answer: 1/5 of a jar
Step-by-step explanation:
1/2 times 2/5= .2 = 1/5.
Answer:
1/5 of a jar
Step-by-step explanation:
What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m
The question is incomplete. The complete question is :
A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m
Solution :
From the figure, we apply the Pythagoras theorem.
Finding the lengths of the two side walks :
1st Step
In the square section,
The length of the diagonal is given by :
[tex]$D=\sqrt{15^2+15^2}$[/tex]
[tex]$=\sqrt{450}$[/tex]
= 21.21 m
2nd step
In the rectangular section,
The length of the diagonal is given by :
[tex]$D=\sqrt{15^2+8^2}$[/tex]
[tex]$=\sqrt{289}$[/tex]
= 17 m
3rd step
Therefore, the total length of the two diagonals of the two section is
= 17 + 21.21
= 38.21 m
or 38.2 m
Answer: it's D (38.2nm)
Step-by-step explanation:
what differences can be found when contrasting the mood of third person acc with that of claudettes first person account?
Answer: The mood of the third-person account is less emotional and more matter-of-fact. The mood of Claudette's account is less emotional and more matter-of-fact.
Step-by-step explanation:
this is the question I meant to send
Answer:
30%
Step-by-step explanation:
What is the y-intercept for the equation y= 11x + 1?
-11
-1
1
11
Answer:
1
Step-by-step explanation:
The y-intercept in the equation is 1 because the equation uses the format y=mx+b. The b in y=mx+b represents the y-intercept So, in this equation the y-intercept is 1 because b=1.
Please help me solve these, I tried solving them but I got confused with the signs,
a) -6x = 30 b) -3x = -9
c)-5x = 25
Answer:
a) x= -5
b) x= 3
c) x= -5
Find the maximum heigh reached by the rocket
y=-16x^2+146x+137
Answer:
Step-by-step explanation:
se gana 10000 y 2
m - 12 = 11
A. -23
B. -1
C. 1
D. 23
Answer:
D. 23
Step-by-step explanation:
m-12-(11)=0
m-23 = 0
m = 23
A plane takes off and climbs steadily for 15 minutes until it reaches 30,000 feet. It travels at that altitude for 2 hours until it begins to descend to land, which takes 15 minutes at a constant rate
wayfktgfydfug9ugi0b7ffiobv57f9pogasdfyuiohfdfhjkl
Answer:
Area of the circle = 572.3 square ft.
Step-by-step explanation:
Area of a circle is given by the formula,
Area of a circle = πr²
Here 'r' = Radius of the circle
Diameter of circle given in the picture = 27 ft
Radius of the circle = [tex]\frac{27}{2}[/tex]
= 13.5 ft
Area of the circle = π(13.5)²
= 3.14(13.5)²
= 572.265
≈ 572.3 square ft
pleaaaaseeeeeee help!!!!!!!!!!!!!!!!!!!!!
brainliest and 20 points
Answer:
x=0
Step-by-step explanation:
Answer:
Short answer: Empty set ∅
if x is less than -1 then it can't be greater than 1
Find the measure of each number:
Step-by-step explanation:
11. angles 1 and 2 are vertical angles, meaning they are congruent.
angle 2=angle 1=38 degrees
14. angles 1 and 2 are supplementary angles, meaning they add to 180 degrees.
angle 1=180-angle 2=180-67=113 degrees
Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:
Answer:
Rhombuses
Step-by-step explanation:
It has four vertical lines, then draw a Venn Diagram, opposite to opposite.
Order from Venn Diagrams:
Quadrilaterals
Rectangles
Squares
Rhombuses.
.16 with the 6 repeating to a fraction
Rachel has 42 stickers she wants give to her friends. Rachel put the stickers in 7 equal groups. Then Rachel found more stickers and put 3 more in each pile. If Rachel gives 5 stickers to each of her 12 friends, how many stickers does she have left over?
Answer:
3 stamps
Step-by-step explanation: 42 stamps in equal groups would be 6 stickers/group.
6+3 = 9 stickers in each pile
there was 7 piles so multiply 7 by the 9 stickers in each pile
7· 9 = 63
5 · 12 = 60, so she gave her friends 60 stickers
63-60 = 3
The functiona f(x) and g(x) are shown on the graph.
What is g(x)?
f(x)
10
-5
g(x)
A
-10
A. 9(x) = -x2 - 4
B. g(x) = -x + 4
c. g(x) = (-x)² - 4
D. g(x) = (-x)2 + 4
Answer:
A. g(x) = -[tex]x^{2}[/tex] - 4
Step-by-step explanation:
f(x) is flipped, so [tex]x^{2}[/tex] becomes -[tex]x^{2}[/tex].
After being flipped, the graph is move down 4 units.
Therefore, g(x) = -[tex]x^{2}[/tex] - 4
The highest value on the domain of the function is called its ____ ____. (2 words)
starts with ab
Answer:
It is called the maximum value.
Step-by-step explanation:
The highest value on the domain of the function is called its maximum value.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph. There is no point above the maximum value of the function. Thus the highest point on the graph is known as the maximum value of the domain of the function.
The maximum value is one of the extreme values of the domain of the function. The other extreme value is known as the minimum value. It is on one side of the graph and the maximum value is on the other side of the graph.
Therefore, the highest value on the domain of the function is called its maximum value.
To learn more about the domain and range visit:
brainly.com/question/28135761.
#SPJ6
Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!!
What is m∠U?
A. 17
B. 29
C. 46
D. 134
Answer:
A
Step-by-step explanation:
Remarks
The given angle is an exterior angle.It's value is 46 degrees. An exterior angle is the sum of the two remote angles. (A remote angle is one that is not supplementary to the given exterior angle.Solution
46 = <u + <t<t = 2946 = <u + 29 Subtract 29 from both sides.46 - 29 = <u<u = 17 degreesFind the sum of the interior angle measures of the polygon.
Answer:
360
Step-by-step explanation:
All the angles of a polygon add up to 360, thats kinda just how it is haha
Can someone help me out please
Answer:
area = (14 x 16) - (0.5 x 16 x 6) = 176 ft²
Step-by-step explanation:
Answer:
A = 176 ft²
Step-by-step explanation:
2 shapes: one rectangle and 1 triangle:
Rectangle:
A = bh
A = 16(14)
A = 224
Triangle:
A = 1/2bh
A = 1/2(16)(6)
A = 48
Combined:
224 - 48
176
What do a rectangle and a rhombus have in common? Select all that apply.
Their angle measures add to 360°.
They have four right angles.
They have four congruent sides.
The opposite sides are parallel.
The opposite sides are parallel.
Their angle measures add to 360°
jsut heklp plkease ive literally beegn sobbing for foirefver
Answer:
A. Side a is 7 inches long and side b is 6 inches long.
Step-by-step explanation:
a = 21/3 = 7
b = 18/3 = 6