The parent function for this function represented in the table is an exponential function.
We have given that,
The function f is given by the table of values as shown below.
x 1 2 3 4 5
f(x) 9 11 15 23 39
What is an exponential function?
An exponential function can be defined as a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula
f(x) = eˣ
11 - 9 = 2 = 2¹
15 - 11 = 4 = 2²
23 - 15 = 8 = 2³
39 - 23 = 16 = 2⁴
Therefore, we can deduce that the parent function for this function represented in the table is an exponential function.
If function f was translated up to 5 units, then f(x) values would be increased by 5. Also, a point in the table for the transformed function is equal to (1, 4).
To learn more about the exponential function:
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A rectangular playground is 28m long and 15m wide. If all sides are
extended lm outward, what is the area of the enlarged playground ?
Answer:
464m^2
Step-by-step explanation:
Given data
Dimension of the regular playground
Length= 28m
Width= 15 m
We want to extend both sides by 1 m
Length= 28+1= 29m
Width= 15+1= 16m
Hence the area
Area=Length*Width
Area= 29*16
Area= 464m^2
The Area is 464m^2
which expression has a constant of 5?
Answer:
A
Step-by-step explanation:
Which of the following statement(s) describes the rate of change of f over the interval 1.5 SXS 3? Select all that apply.
A. The rate of change is 1/2
B. The rate of change is 2
C. The rate of change is constant
D. The rate of change is increasing
I need help with these questions (see image). Please show workings.
Answer:
Inscribed angle is half of the intercepted arc.Central angle is the same size as the intercepted arc.As per above two statements we have:
y = 2*58° = 116°and
z = 90°/2 = 45°Answer:
y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle
z=90/2=45
inscribed angle is half of central angle of the cyclic quadrilateral
Just read this over to see if this sounds good. It's my intro paragraph. Give me some insight if I need to change anything. Honest opinions please
People of the past and present judge each other by their class. This could relate to how much wealth they have as well as their social class or economic status. These judgments separate us as a society, and we live our lives around these judgments. Class, in simple words, is a group of people or things categorized by the quality and economic status. This relates to the novel The Great Gatsby by some of the characters in the novel, such as Tom and Daisy Buchanan who are sardonic and in love with material luxury.
·
Daisy Buchanan is a beautiful, charming woman from Louisville, Kentucky. For a while, she was with Gatsby before he went to war but later married Tom Buchanan because he had a promised wealthy life that he could provide her. In the novel, during the reunion at Daisy's house in the east egg, "'You make me feel uncivilized, Daisy,' I confessed on my second glass of corky but rather impressive claret. 'Can't you talk about crops or something?'" Nick's statement shows the wealthy class of the east egg and how Daisy flaunts her wealth to everybody instead of enjoying the people around her.
Answer:
This is amazing great job
Step-by-step explanation:
Triangle DEF is on a coordinate plane with its
vertices located at D( – 3,5), E( – 3, - 2), and
F(3,0). What is the area of ADEF in square
units?
Answer:
[tex]21\ \text{square units}[/tex]
Step-by-step explanation:
The points are [tex]D(-3,5), E(-3,-2)[/tex] and [tex]F(3,0)[/tex].
Area of a triangle is given by
[tex]A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}[/tex]
[tex]\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}[/tex]
[tex]\Rightarrow A=21\ \text{square units}[/tex]
The area of the given triangle is [tex]21\ \text{square units}[/tex].
Triangle WXY, with a vertex X at (3, 0), is rotated clockwise 270° about the origin.
Which of the following rotations is equivalent 270° clockwise rotation about the origin?
clockwise 270°
counterclockwise 90°
counterclockwise 360°
clockwise 90°
A rotation of 270 would be equal to 630, 990, etc. Adding 360 degrees would result in the same rotation.
Answer:
counterclockwise 360°
Step-by-step explanation:
I’ll give brainliest!! Plz answer!
Look at the image for the question
HENCE , ANSWER IS,8/9
mark me as brainlist
−3(3h−1)≤−7h−5
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Answer:
h<=4
Step-by-step explanation:
-9h+3<=-7h-5
-9h+7h<=-5-3
-2h<=-8
h<=4
Look at the image below
Answer:
your answer will be 12
Step-by-step explanation:
[tex]4x-6=42\\\\4x=42+6\\\\4x=48\\\\x=12[/tex]
have a nice day ^_^
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
∠B=∠E
7x+10=947x=94-107x=84x=8yx=8y/7x=12------------------
∠A=∠D
42=4x-64x=6+424x=48x=48/4x=12⭒☆━━━━━━━☆⭒
hope it helps...
have a great day!!
Someone help please
Answer:
A=(b^2)h/2
Step-by-step explanation:
the top of a table has a length of 7 feet and a width of 5 feet. what is the area of the table top
Answer: 35ft
Step-by-step explanation:
The area for a rectangle or square is Width times Length (W*L)
So we can take our given measurements and multiply them
[tex]5*7=35[/tex]
Pls help ASAP fast ...
i donk know Step-by-step explanation:
Answer:
Here is your answer
Step-by-step explanation:
what's
[tex] \sqrt{11 \times 3 + 3} [/tex]
Answer:
6 Ans .......
Step-by-step explanation:
Data:
√11 x 3+3
Solution:
=√11 x 3+3
=√33+3
= 6 Ans .........
Please help? If you want I can type the question in the comments too
Answer:
[tex]y = \frac{1}{2} x- 4[/tex]
Step-by-step explanation:
You can solve this by saying:
[tex]\Delta y = s \Delta x[/tex]
so in this case we have
[tex]y - (-2) = \frac{1}{2}(x- 4)\\[/tex]
Now we can simply solve for y:
[tex]y + 2 = \frac{1}{2} x- 2\\y = \frac{1}{2} x- 4[/tex]
f(x) = 9x2 - 4
Find the zeros of the function
Answer:
I believe that the answer is 14.
Step-by-step explanation:
hope it helped
The measure of one interior angle of a parallelogram is 50 degrees more than 4 times the measure of another angle
The measure of the smaller interior angle is
and the measure of the larger interior angle is?
Answer:
smaller ∡ = 26°
larger ∡ = 154°
Step-by-step explanation:
opposite angles are congruent
adjacent angles are supplementary
in this problem, the angles are supplementary
'x' = measure of smaller angle
x + 50 + 4x = 180
5x = 130
x = 26
The given information and the relationship between the angles of a
parallelogram can be used to find the interior angles.
The measure of the smaller angle is 26°The measure of the larger angle is 154°Reasons:
A property of a parallelogram is that the diagonally opposite angles are
equal, and the adjacent angles are supplementary.
Therefore, two of the four interior angles of a parallelogram are equal.
Let x and y represent the two angles of different measure in the
parallelogram
y = 4·x + 50°
y + x = 180°
Which gives;
y = 180° - x
Therefore;
180° - x = 4·x + 50°
180° - 50° = 4·x + x
130° = 5·x
x = 130° ÷ 5 = 26°
x = 26°y = 4 × 26° + 50° = 154°
y = 154°Therefore;
The measure of the smaller interior angle, x = 26°The measure of the larger interior angle, y = 154°Learn more about the properties of a parallelogram here:
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The product of a binomial and a trinomial is x3+3x2-x+2x2+6x-2 Which expression is equivalent to this
product after it has been fully simplified?
help please i rlly need it
"The difference between the circumference and diameter of a wheel is 18cm. Find the radius of the wheel. Use 3.14 for Pi. Round to the nearest tenth."
Answer:
[tex]4.2\ \text{cm}[/tex]
Step-by-step explanation:
d = Diameter of wheel
The difference between the circumference and diameter of a wheel is 18 cm.
[tex]2\pi r-d=18\\\Rightarrow \pi d-d=18\\\Rightarrow d(\pi-1)=18\\\Rightarrow d=\dfrac{18}{\pi -1}\\\Rightarrow d=\dfrac{18}{3.14-1}\\\Rightarrow d=8.41\ \text{cm}[/tex]
The diameter of the wheel is 8.41 cm so the radius will be [tex]\dfrac{8.41}{2}=4.205\approx 4.2\ \text{cm}[/tex].
Graph the inequality on the axes 2x-y>5
Answer: x>1/2y+5/2 look at the picture it going to be the graph
Step-by-step explanation: Hope this help :)
9. Which
of the following is a proper fraction?
A 12/10
B. 5/4
C.7/10
D.10 1/9
Answer:
c
Step-by-step explanation:
because in a proper fraction the numerator is less than the denominator
A shop in the mall is 7 metres by 12 metres. How much would it cost to recarpet the shop with the carpet that costs £4 per square metre
Answer:
£336
Step-by-step explanation:
cost of recarpeting = area of the shop x cost per square meter
Area of a rectangle = length x breadth
7 x 12 = 84m^2
cost of recarpeting = 84m^2 x 4 = £336
ABC is the image of ABC under a translation
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Answer:
Step-by-step explanation:
i posted this on accident
I need help on this. Can someone explain it?
Answer:
noooooooooooooooooooooo
The ___________________________ of an object is how heavy the object is
Answer:
Mass
Step-by-step explanation:
Answer:
the answer is weight.
Step-by-step explanation:
hope this helps!! please mark brainliest.
Please I beg help show work
A 94
B 1
C 47
D 3
Answer:
x = 3
Step-by-step explanation:
15x + 2 = 9x + 20
Now solve for x
Subtract 2 from each side
15x = 9x + 18
Subtract 9x from each side
6x = 18
Divide each side by 6
x = 3
Answer: x=3
Step-by-step explanation:
When you have two parallel lines cut by a transversal (line that goes across them), it forms special angles. One of those special angles is alternate interior angles. Alternate meaning opposite sides of the transversal and interior meaning on the inside of the parallel lines. The special relationship of these angles is that they are equal.
9x+20 and 15x+2 are alternate interior angles which means they are equal. Set them equal to each other to solve for x.
9x+20= 15x+2. Subtract 9x from both sides.
20= 6x+2. Subtract 2 from both sides.
18=6x. Divide both sides by 6.
3=x
PLSSS HELP GEOMETRY!!! LOOK AT IMAGE!
Answer:JI=16, JH=15, <W=37, <J=114, <I= 29
Step-by-step explanation:
When naming congruent triangles, the corresponding points are named in order from one triangle to another.
Since it states triangle WXY is congruent to triangle HJI this means that W corresponds to H, X corresponds to J and Y corresponds to I.
JI corresponds to XY, JH corresponds to XW angle W corresponds to angle H, angle J corresponds to angle X and angle I corresponds to angle Y. Use the triangle congruency statement as your roadmap.
To find the missing angle in the triangle, use the triangle angle sum theorem which states that all interior angles of a triangle sum to 180.
37+114+<I= 180. Combine like terms.
151+<I=180. Subtract 151 from both sides.
<I= 29
plz amswer this for me
Answer:
$5
Step-by-step explanation:
$14 x 30% (0.30) = $4.2
$14 + $4.2 = $18.2
[tex]\frac{18.2}{4}[/tex] = 4.55
Round to the nearest dollar:
4.55 = 5