19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?
Answers
Answer:
First we have the function f(x) = 27*x - 67.5
It has an x-intercept at (a, 0)
This means that:
f(a) = 0 = 27*a - 67.5
Solving the above equation we can find the value of a.
0 = 27*a - 67.5
67.5 = 27*a
67.5/27 = a = 2.5
Now let's look at equation g(x).
It is a linear equation, remember that a linear equation can be written as:
g(x) = y = A*x + B
Where:
A is the slope, and B is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:
A = (y₂ - y₁)/(x₂ - x₁)
In this case we can select any two points from the table, for example, I will use the second and third points:
(1, 39) and (2, 32.5)
Then the slope is:
A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5
Then the equation is something like:
g(x) = y = -6.5*x + B
B is the y-intercept, to find this value, we can use one of the two points we used before.
For example, (1, 39) means that g(1) = 39
Then:
g(1) = -6.5*1 + B = 39
= B = 39 + 6.5 = 45.5
Then the equation for g(x) is:
g(x) = -6.5*x + 45.5
Now, we know that g(x) has an x-intercept at (b, 0)
this means that:
g(b) = 0 = -6.5*b + 45.5
6.5*b = 45.5
b = 45.5/6.5 = 7
Then the difference between b and a is:
b - a = 7 - 2.5 = 4.5
b is equal to a plus 4.5
And the ratio is:
b/a = 7/2.5 = 2.8
b is 2,8 times larger than a.
Related Questions
f(-3)=x^2+4
just need help with this
Answers
Step-by-step explanation:
f(-3)=(-3)^2+4
=9+4
=13
hope it helps u dear friend
Answer:
Step-by-step explanation:
Given
f(x) = x² + 4
Now
f(- 3) = (-3)² + 4
= 9 + 4
= 13
hope it helps :)
How do I solve this arithmetic sequence?
Answers
Answer:
The 16ᵗʰ term of this sequence is 82
Step-by-step explanation:
Here,
First Term = a₁ = 9
Common Difference = (d) = 2
Now, For 16ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₁₆ = 7 + (16 - 1) × 2
a₁₆ = 7 + 15 × 5
a₁₆ = 7 + 75
a₁₆ = 82
Thus, The 16ᵗʰ term of this sequence is 82
-TheUnknownScientist
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answers
Answer: I would say 50%
Step-by-step explanation: Because there is a 50 50 chance on getting heads or tails.
Answer:
I believe it is a 50% chance because there are only two sides to the coin. 100 divided by two is 50.
Step-by-step explanation:
I'm not sure if that is the way you are supposed to solve it. Sorry if the answer is incorrect.
The middle school swim team scored a total of 181.863 points. Which expression represents this score?
A (1x100) + (8x 10) + (1x1)+(8x1)+(6x 10) +(3x 100)
B (1 x 100) + (8x10)+ (1x1)+ (8x2)+(6x 1/10)+(3x 1/100)
C (1x100) + (8x10)+(1x1) + (ex *)+(6x 100) +(3x 1/1000)
D (1*100)+(8x 10) + (1x1)+(8x 1000)+(ox 100)+(3x o)
o
Answers
Answer: A
Step-by-step explanation:
A follows the tenths, hundreds, and thousandths place correctly
Answer:
A. (1x100) + (8x 10) + (1x1)+(8x1)+(6x 10) +(3x 100)
Step-by-step explanation:
Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, then divide by 2. Multiply 15 by 1/9, then multiply by 2. Multiply 15 by 9, then multiply by 1/2
Answers
Answer:
Multiply 15 by 9, then divide by 2.
Step-by-step explanation:
We need to solve the given expression.
[tex]15\div \dfrac{2}{9}[/tex]
We know that, [tex]a\div \dfrac{b}{c}=a\times \dfrac{c}{b}[/tex]
We have,
a = 15, b = 2 and c = 9
So,
[tex]15\div \dfrac{2}{9}=15\times \dfrac{9}{2}\\\\=\dfrac{15\times 9}{2}\\\\=\dfrac{135}{2}\\\\=67.5[/tex]
So, the steps are "Multiply 15 by 9, then divide by 2".
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Answers
if this is right please mark as brainliest
help I don’t know how I’m supposed to do this
Answers
Answer: So, you got the length of side C. You now need to find what 10 is squared, then what plus what (in squared gates you there). A squared plus B squared is C squared. It is basic Pythagorean Threom.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
For this I think you should know what SOH-CAH-TOA is, if not here.
O=opposite, A=adjacent(side), and H=-hypotenuse. We see they give us the right angle we need to solve, remember that we need the angle to the side of the right angle. Now S=sin, C=cos, T=tan, with these we use them to solve in the calculator. If you don't have a calculator, its going to be hard. But if you have a Ti-84 then set it to Degree mode. Ok moving on, We see they give us the adjacent and the hypotenuse, not the opposite.(from the given angle) So we can take off, SOH and TOA, see it doesn't have or has the incorrect sides. So we have left CAH.
Equation time:
, we see that the x is on top so we just multiply....
[tex]cos36(10)[/tex]= 8.090
I hope this helps!
Please help 8th grade algebra here's the problem #16 GEOMETRY The volume of a rectangular prism is 3x3 + 34x2 + 72x – 64. If the
height is x + 4, what is the area of the base of the prism?
I’m really bad at areas and I need this by tonight
Answers
Answer:
here is a link
Step-by-step explanation:
https://socratic.org/questions/the-volume-of-a-rectangular-prism-is-3x-3-34x-2-72x-64-if-the-height-is-x-4-what#374628
PLS HELP MOST CONFUSING TOPIC
Answers
The angles surrounding the point p are 90 degrees
Then using the angle given, find the missing angles.
JPH = 90
HJP = 49
90+49 = 139
180 - 139 = 41
Therefore JHP = 41
HLP = HJP = 49
HLP = 49
KLP = 72
KLP + HLP = 72 + 49 = 121
Therefore, HLK = 121
LP = JP = 16
JP = 16
HL = HJ = 13
HL = 13
Hope this helps! =)
2. A toy factory produces 280 fidget spinners per day, and
each spinner is tested before it is packaged and shipped. After
testing the first 40 spinners, Carlos finds 3 of them to be
defective. Based on these
results, which of the following is
likely the total number of defective spinners on that day?
F. 7
G. 21
H. 120
J. 240
Answers
Ms. Robinson has $75 in her bank account and is depositing $15
each week. Ms. LaSpina has $225 in her bank account and is
withdrawing $10 each week. How many weeks will it take for the
bank accounts to have the same amount? What will that amount
be?
Answers
Answer:
It will take 6 weeks
Step-by-step explanation:
Ms. Robinson: 75+15(6)=$160
Ms. LaSpina: 225-60 =$160
Therefore both will take 6 weeks
Suzanne folded 11 towels. If Allison folded 5 times as many towels as Suzanne, which number sentence shows how many towels Allison folded?
A.
5 × 5 = 25
B.
11 + 5 = 16
C.
11 × 11 = 121
D.
5 × 11 = 55
Answers
Answer:
D
Step-by-step explanation:
because 5 times 11 is 55. Times is also another word for multiplication.
answer CORRECTLY for brainleist if u put a link i will report u ! thx have a bleesed night all ;)
Answers
Answer:
132 cm squared
Step-by-step explanation:
for the two triangles 8 times 3 divided by 2 is 12 times 2 for two triangles equals 24
the two side rectangles easy just do 5 times 6 and it equals 30 times two because there is 2 and you get 60
the bottom rectangle do the same thing except 6 times 8 and there is only one so 48
add all areas together to get 132
Find the area. 7 in. 5 in. 12 in.
Answers
Answer:
I believe its 47.5
Hope this helps!
Answer:
142.5
Step-by-step explanation:
1/2×5×(7+12)=142.5
Is QRST at the right a rectangle? Explain.
Answers
Answer:
Right rectangle.
Step-by-step explanation:
The rectangle will be a right rectangle only if the opposite sides are parallel to each other.
This means that RQ should be parallel to ST
And RS should be parallel to QT
Each side can be represented by a line with a restricted domain, and we know that two lines are parallel only if they have the same slope.
Remember that the slope relates to how a change in the x-value makes a change in the y-value.
Then if two segments have, for a fixed change in the x-value, the same change in the y-value, we can conclude that those segments are parallel.
So here to see if the lines are parallel, we just need to compare the changes between the endpoints of each segment.
Let's start with segments QR and TS
First let's look at the segment QR, and let's try to find the difference in the coordinates between R and Q.
In the graph, we can see that R is 3 units above and one unit to the right of Q.
Now let's do the same for the other segment:
In the graph, we also can see that S is 3 units above and one unit to the right of T.
So these two lines will have the same slope:
Only with this, we can conclude that sides QR and TS are parallel.
Now with the other two segments: RS and QT.
Similar to the above case, for the segment RS we can see that S is 4 units at the right and 1 unit below R.
For the segment QT, we can see that T is 4 units at the right and one unit below Q.
So segments RS and QT have the same slope, thus, the segments are parallel.
Then we can conclude that this is a right rectangle.
If right you’ll get brainliest
Answers
The temperature increased by 10°F.
Step-by-step explanation:
To solve this question, solve this equation:
[tex]-6+X=4[/tex]
Flip the equation so it is easier to solve:
[tex]4-(-6)=X[/tex]
Two negatives = A positive so:
[tex]4+6=X[/tex]
Then, add to solve the equation:
[tex]10=X[/tex]
The temperature increased by 10.
Plot the value(s) on the number line where this function is equal to zero:
f(x) = (x + 5)(x − 1).
Answers
Step-by-step explanation:
if f(x)=0
then
(x+5)=0 and
(x-1)=0
solve for x
x=-5 and x=1
those are the two values where the function equals zero
Hope that helps :)
Answer:
Step-by-step explanation:
Hope this Helps ;)
There are 70 dogs and 55 cats at the shelter. 15 of these animals get adopted . What is the percent of the animals that got adopted
Answers
Answer: 12%
Step-by-step explanation:
Given
There are 70 dogs and 55 cats at the shelter
If 15 animals are adopted
Total no of animals =70+55=125
Percent of animals adopted is given by
[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]
HELP MEEEEEEEEEE SOOOOOO EASY PLEASE AND BRANLIEST TOOOOOO (07.04 LC)What is the solution to the equation fraction 1 over 3x = 6?
x = 18
x = 2
x = fraction 1 over 2
x = fraction 1 over 18
Answers
Answer:
x = 2
divide each term by 3 and simplify.
Answer:
I did the quiz and it is B
Step-by-step explanation:
If you spin a 4-color spinner 3 times,
how many different outcomes could you have for the 3 spins?
Answers
Answer:
12 outcomes for 3 spins
Step-by-step explanation:
4×3=12
There is a classic game called “Rock, Paper, Scissors.” Two people play by counting to 3 together, then making a hand gesture to resemble paper (hand flat, palm down), rock (fist), or scissors (two fingers extended).
• When paper and rock are shown, paper wins the round.
• When paper and scissors are shown, scissors wins the round.
• When rock and scissors are shown, rock wins the round.
• When both players show the same thing, the round is a tie.
Using the site: Rock, Paper, Scissors to play Rock, Paper, Scissors. You will scroll down until you see the hand. Then click on Generate to begin game.
Play 3 rounds of 10, using the same gesture for each round. Record what gesture was used by you, the gesture used by the computer, and the result.
Round 1:
My Option: Rock
Computer Scissors Paper Scissors Scissors Rock Scissors Scissors Rock Rock
Winner? Win Lost Win Win Tie Win Win Tie Tie
Round 2:
My Option: Paper
Computer Scissors Paper Scissors Rock Rock Rock Paper Rock Rock
Winner? Lost Tie Lost Win Win Win Tie Win Win
Round 3:
My Option: Scissors
Computer Rock Paper Rock Rock Scissors Paper Rock Rock Paper
Winner? Lost Win Lost Lost Tie Win Lost Lost Win
1. Is the event “win the round” dependent on another event? Explain your reasoning.
2. Create a graph of your data. Make sure to label your graph and that the graph is appropriate for the type of data you have.
3. Choose an event that you think might influence the probability of winning, then analyze the data using probability to determine whether the event you chose to study is independent of winning. Provide evidence to support your claim.
Answers
Answer:
Round 1: rock
Round 2: scissors
Round 3: paper
Step-by-step explanation:
YOUR DATA TABLES
Round 1: TIE
Round 2: LOST
Round 3: WIN
Alonzo and Miguel scored a total of 40 points in a basketball game. Miguel scored four more points than twice Alonzo's score. show many points did Miguel score?
Answers
Answer:
28
Step-by-step explanation:
These cylinders are similar. Find the surface
area of the smaller cylinder. Round to the
nearest tenth.
5 cm
13 cm
Surface Area = [? ] cm2 Surface Area = 236 cm2
Answers
Answer:
[tex]A=141.6\ cm^2[/tex]
Step-by-step explanation:
The surface area of a cylinder is given by :
[tex]A=2\pi rh[/tex]
For larger cylinder, A = 236 cm² and h = 5 cm
So,
[tex]236=2\pi \times 5\times r\\\\r=\dfrac{236}{10\pi}\\\\r=7.51\ cm[/tex]
Now, Put r = 7.51 and h = 3 cm to find the surface area of the smaller cylinder.
[tex]A=2\pi \times 7.51\times 3\\\\A=141.56\ cm^2\\\\A=141.6\ cm^2[/tex]
So, the surface area of the smaller cylinder is equal to [tex]141.6\ cm^2[/tex].
Answer:
85
Step-by-step explanation:
i did it and got it right
- You pick a card at random. 1 2 3 4 5 6 7 8 D) What is P(even)? )) Write your answer as a fraction or whole number
Answers
Answer:
4/8 or reduced 1/2
Step-by-step explanation:
It's 4/8 or reduced as 1/2 because there are 4 even numbers 2, 4, 6, 8
Please answer this question asap
Answers
Answer:
I believe that the answer is 'C. 9d+2c+3t'.
Step-by-step explanation:
I hope this was helpful, have a blessed day.
Help me out, math is confusing
Don't say you're confused too and not actually answer
Answers
Answer:
i think it would be A if not then B
Step-by-step explanation:
Someone please help quickly! <3
Answers
Answer:
answer is C just look at the line and see where they intersect...
Step-by-step explanation:
hope this helps^_^ plz give brainliest and rating
help me out, thank you !
Answers
Explanation: a ^2 +b^2 = c^2
7^2 + 10.2^2 = c^2
49 + 104.04=c^2
153.04 =c^2
c ≈ 12.37
Round: 12.4
brilliance for the right answer
What does 1 cc mean?
1 cubic inch
1 cubic centimeter
1 cubic feet
1 cubic liter
Answers
1 cc (cubic centimeter) refers to a unit of volume in the metric system. It is equal to one cubic centimeter, which is equivalent to one milliliter (ml).
The abbreviation "cc" is commonly used in medical and scientific contexts to represent small volumes, especially when measuring liquids or medications.
A cubic centimeter (cc) is a unit of volume that is commonly used in the metric system. It is equivalent to a cube with edges measuring one centimeter each. The cubic centimeter is often used to measure the volume of small objects or quantities of liquids.
To better understand the size of a cubic centimeter, it can be visualized as the volume occupied by a sugar cube or a small dice. It is a relatively small unit of volume, and larger volumes are typically expressed in terms of liters or cubic meters.
To know more about cubic centimeter here
https://brainly.com/question/5283705
#SPJ2
Create a linear equation with no solution. Use pictures and words that show your equation does not have a solution
Answers
Answer:
2x+4=2x+7
Step-by-step explanation:
2x+4=2x+7
-4 -4
2x=2x+3
-2x -2x
0=3
Zero does not equal to 3 so there's no solution
