Answer:
i think it is 87 because
PLZZZZ HELP WILL GIVE BRAINS
Answer:
209 dollars
Step-by-step explanation:
i did the math but am probably incorrect
How do you find the equation of each function? Function A is f(x)=3x^2 and Function C is f(x)=18x-16. How do you get those? And then how do you get the equation for Function B? Thanks!
Answer:
[tex]f(x) = 3^x[/tex] --- Function A
[tex]f(x) = x^2 - 5[/tex] --- Function B
[tex]f(x) = 18x -6[/tex] --- Function C
Step-by-step explanation:
Solving (a): Equation of Function A
An exponential equation is represented as:
[tex]y = ab^x[/tex]
From the graph of function A,
[tex]x = 0\ when\ y = 1[/tex]
[tex]x = 1\ when\ y = 3[/tex]
For: [tex]x = 0\ when\ y = 1[/tex]
[tex]y = ab^x[/tex] becomes
[tex]1 = ab^0[/tex]
[tex]1 = a[/tex]
[tex]a =1[/tex]
For: [tex]x = 1\ when\ y = 3[/tex]
[tex]y = ab^x[/tex] becomes
[tex]3 = a*b^1[/tex]
[tex]3 = a*b[/tex]
Substitute 1 for a
[tex]3 = 1*b[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
[tex]y = ab^x[/tex] becomes
[tex]y = 1*3^x[/tex]
[tex]y = 3^x[/tex]
Replace y with f(x)
[tex]f(x) = 3^x[/tex]
Solving (b): Equation of Function B
A quadratic equation is represented as:
[tex]y = ax^2 + bx + c[/tex]
From the table of function B,
[tex]x = 3\ when\ y =4[/tex]
[tex]x = 5\ when\ y =20[/tex]
[tex]x = 6\ when\ y =31[/tex]
For: [tex]x = 3\ when\ y =4[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]4 = a*3^2 + b*3 + c[/tex]
[tex]4 = a*9 + 3b + c[/tex]
[tex]4 = 9a + 3b + c[/tex]
For [tex]x = 5\ when\ y =20[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]20 = a*5^2 + b*5 + c[/tex]
[tex]20 = a*25 + b*5 + c[/tex]
[tex]20 = 25a + 5b + c[/tex]
For [tex]x = 6\ when\ y =31[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]31 = a*6^2 + b*6 + c[/tex]
[tex]31 = a*36 + b*6 + c[/tex]
[tex]31 = 36a + 6b + c[/tex]
So, we solve for a, b and c in:
[tex]4 = 9a + 3b + c[/tex]
[tex]20 = 25a + 5b + c[/tex]
[tex]31 = 36a + 6b + c[/tex]
Make c the subject in [tex]4 = 9a + 3b + c[/tex]
[tex]c = 4 - 9a - 3b[/tex]
Substitute [tex]c = 4 - 9a - 3b[/tex] in [tex]20 = 25a + 5b + c[/tex] and [tex]31 = 36a + 6b + c[/tex]
[tex]20 = 25a + 5b + c[/tex] becomes
[tex]20 = 25a + 5b + 4-9a-3b[/tex]
Collect Like Terms
[tex]-4+20 = 25a -9a+ 5b -3b[/tex]
[tex]16 = 16a+ 2b[/tex]
Divide through by 2
[tex]8 = 8a + b[/tex]
[tex]c = 4 - 9a - 3b[/tex]
[tex]31 = 36a + 6b + c[/tex] becomes
[tex]31 = 36a + 6b + 4 - 9a - 3b[/tex]
Collect Like Terms
[tex]-4+31 = 36a - 9a+ 6b - 3b[/tex]
[tex]27 = 27a+ 3b[/tex]
Divide through by 3
[tex]9 = 9a + b[/tex]
Solve for a and b in: [tex]8 = 8a + b[/tex] and [tex]9 = 9a + b[/tex]
Subtract both equations:
[tex]8 - 9 = 8a - 9a + b - b[/tex]
[tex]8 - 9 = 8a - 9a[/tex]
[tex]-1 = -a[/tex]
Divide both sides by -1
[tex]1 = a[/tex]
[tex]a = 1[/tex]
Substitute 1 for a in [tex]9 = 9a + b[/tex]
[tex]9 = 9*1 + b[/tex]
[tex]9 = 9 +b[/tex]
Subtract 9 from both sides
[tex]9-9=9-9+b[/tex]
[tex]0=b[/tex]
[tex]b = 0[/tex]
Substitute [tex]b = 0[/tex] and [tex]a = 1[/tex] in [tex]c = 4 - 9a - 3b[/tex]
[tex]c = 4 - 9*1-3*0[/tex]
[tex]c = 4 - 9-0[/tex]
[tex]c = -5[/tex]
So, the equation is:
[tex]y = ax^2 + bx + c[/tex]
[tex]y=1*x^2 +0*x-5[/tex]
[tex]y=x^2 -5[/tex]
Replace y with f(x)
[tex]f(x) = x^2 - 5[/tex]
Solving (c): Equation of Function C
This is calculated using:
[tex]f(x) =a + (x -1)d[/tex]
Where
[tex]a = 12[/tex] -- the first term
d = the difference between successive terms
[tex]d = 30 -12 = 48-30 = 66 -48[/tex]
[tex]d =18[/tex]
So, we have:
[tex]f(x) =a + (x -1)d[/tex]
[tex]f(x) = 12 + (x - 1)*18[/tex]
Open bracket
[tex]f(x) = 12 + 18x - 18[/tex]
Collect Like Terms
[tex]f(x) = 18x - 18+12[/tex]
[tex]f(x) = 18x -6[/tex]
HELP ME PLEASE!!! A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
A right trapezoid with top side 7 feet and height 7 feet. The bottom side is extended to the right with 3 more feet.
24.5 square feet
59.5 square feet
70 square feet
147 square feet
I will also give brainliest on this one What’s the surface area of this round to the tenth if you have to
Which equation could be used to solve problems involving the relationships between the angles?
A) 90+(8a+9)=(11+2a)
B) 90-(8a+9)=(11+2a)
C) (11+2a)-90=(8a+9)
D) (8a+9)-(11+2a)=90
Answer:
B
Step-by-step explanation:
First right equals brainliest, Pls dont answer for the points this is serious. I just need this and 3 more which I will ask later. Anyway I am making this worth more points because I need help:)
I can't see the picture, can you please explain the problem in the comment bar below this so can edit my answer to help?
Three friends are buying seashells at the gift shop on the beach. Melanie buys 2 seashells for $0.80. Rosi buys 5 seashells for $2.00. Carlos buys 4 seashells for $1.60. Use a graph to determine whether the number of seashells and the cost have a proportional relationship. If so, what is the constant of proportionality and what does it mean?
Answer:
17.08
Step-by-step explanation:
PLs help me with this.
Answer:
its the upper left one
Step-by-step explanation:
hope i helped
A store buys a jacket for $60. The markup rate is $15. What is the percent of markup?
Answer:I think it’s 33.33%? Not 100% sure but I hope it helps!
Step-by-step explanation:
Explain the parts of an algebraic expression and what algebraic expressions can represent.
Plzz helppp!!!!!!!!!!!!!
if a van traveled 150 miles in 3 hours, how many miles could the van travel in 6 hours?
Answer:
300 because if he traveled 150 in 3 to find six just multiply by 2
Answer:
The van traveled 300 miles in 6 hours.
Step-by-step explanation:
150 divided by 3 = 50
So each hour the van traveled 50 miles.
50 x 6 = 300
What is this shape called?
Answer:
This is a triangular prism
Step-by-step explanation:
Which of the following expressions give the distance between the endpoints of the segment shown on the number line below? Select all that apply
Questions:
A)|−35−(−45)|
B)|−35−45|
C)−35−45
D)|35−45|
E)|45−(−35)
Systems of Equations:
-8x+4y=16
y=5x+1
What is the point where they meet?
Answer:
(1, 6) is where they meet
What value of c is a solution to this equation?
–5=–3(c–2)–8
Answer:c=1
Step-by-step explanation:Step 1: Simplify both sides of the equation.
−5=−3(c−2)−8
−5=(−3)(c)+(−3)(−2)+−8(Distribute)
−5=−3c+6+−8
−5=(−3c)+(6+−8)(Combine Like Terms)
−5=−3c+−2
−5=−3c−2
Step 2: Flip the equation.
−3c−2=−5
Step 3: Add 2 to both sides.
−3c−2+2=−5+2
−3c=−3
Step 4: Divide both sides by -3.
−3c
−3
=
−3
−3
c=1
Can someone plz help me with this one problem plz!!!
Answer:
no
Step-by-step explanation:
Answer:
no i think the point are satisfy
( if the answer is wrong I am sorry :c )
what's the value of x
(Middle School)
help and ill give brainliest
Answer:
No, it isnt a solution
Step-by-step explanation:
Even though it works for one equation, it doesnt work on the other. You have to have the solution work for both equations so that it can be a true solution. Hope this helps you understand!
6.9 is 112% of what number?
Answer:
6.16
Step-by-step explanation:
You are traveling by car to New York City. The map you will use for your journey is below.
a) What is the scale factor on the map? (1 point)
b) What is the approximate distance from Chicago to New York City? Use a proportional relationship to solve the problem. Show your work. (2 points)
c) What is the approximate distance from Denver to Chicago? Use a proportional relationship to solve the problem. Show your work. (2 points)
d) You plan to begin your journey in San Jose and make stops in Denver and Chicago on your way to New York City. Your father says that your journey will be about 3,000 miles. Is this a close estimation of the distance? Explain your reasoning. (2 points)
Answer
sorry im workin on it
Step-by-step explanation:
help please, I need to know the ordered pair for the origin!
Which choice could include the degrees of the angles in a quadrilateral?
A: 43,54,127,136
B: 25,35,63,57
C: 80,90,100,110
D: 50,91,101,128
halp me plez I dont wanna fail ( MUST BE A EXPRESSION)
Answer:
2x+15=33
Step-by-step explanation:
Let n be the number of days he has been doing sit ups, not counting the first day. Since he does 2 more sit-ups for each day, then the number of additional sit-ups is 2n.
Since he started doing 15 sit-ups on the first day, the total number of sit-ups
after x days would be 2n+15.
Since he did a total of 33 sit ups today, then 2n+15=33
Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use.
Each key on the student calculators is 12 millimeters wide, and each key on the demonstration calculator is 3.6 centimeters wide. If the student calculators are 251 millimeters tall, how tall is the demonstration calculator?
A.
75.3 meters
B.
0.753 meter
C.
9.036 meters
D.
0.036 meter
Answer:
A
Step-by-step explanation:
12 divided by 3.6= 3.33
251 divided by 3.33 = 75.3 meters
Hope this helps!
Can someone plz help me with this one problem this is my last question!
Please help ASAP thank you
The are 85 girls 29 boys and 123 people in the class in total how many adults are in the classroom??
9 adults
Step-by-step explanation:
85+29=114
123-114=9
pls answer quick rjwejriwejriwekr
Answer: $181.48 O_O
Step-by-step explanation: i know that stuff
Answer:
$530.48
Step-by-step explanation:
i can answer now yay
What kind of symmetry does this figure have?
point
line
both line and point
neither
Answer:
line and point
Step-by-step explanation:
The kind of symmetry the figure given above posses is a line and point symmetry.
What is point symmetry?A point Symmetry also known as origin symmetry is a Symmetry which occurs when every part of an object has a matching part. That is, the same distance from the central point but in the opposite direction.
Given that;
The objects looks the same when viewed from opposite directions.
We know that;
A line of symmetry is a line that cuts a shape exactly into two equal half. That is, if you fold the shape along the line, both halves would match exactly.
Therefore, the figure given above has both point and line Symmetry.
Learn more about line and point symmetry:
brainly.com/question/1553710
#SPJ3
Which of expressions illustrates the associative property?
ab + bc
a ( b + c ) = ab + bc
a ( b + c ) = (a + b ) + c
a + b + c = c + b + a
Answer:
c) a ( b + c ) = (a + b ) + c
Step-by-step explanation:
The associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.