Using linear functions, it is found that:
a)
[tex]y_A(x) = 8 + x[/tex]
[tex]y_B(x) = 4 + 2x[/tex]
b) They will have the same height after 4 weeks.
A linear function has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.Item a:
Plant A has a height of 8 centimeters and grows 1 centimeter each week, hence:
[tex]y_A(x) = 8 + x[/tex]
Plant B has a height of 4 centimeters and grows 2 centimeters each week, hence:
[tex]y_B(x) = 4 + 2x[/tex]
The system is:
[tex]y_A(x) = 8 + x[/tex]
[tex]y_B(x) = 4 + 2x[/tex]
Item b:
Equaling the equations:
[tex]y_A(x) = y_B(x)[/tex]
[tex]8 + x = 4 + 2x[/tex]
[tex]x = 4[/tex]
They will have the same height after 4 weeks.
To learn more about linear functions, you can take a look at https://brainly.com/question/16302622
a) Complete the table of values for x + y = 6
X
-2
-1
0
1
3
N
у
Step-by-step explanation:
Given equation is x+y=6
Table:-[tex]\boxed{\begin{array}{c|c|c}\bf x &\rm 3 &\rm 2 &\rm 1\\ \bf y &\rm 3 &\rm 4 &\rm 5\end{array}}[/tex]
PQR has vertices at P(-10, 8), Q(0, -6),
and R(8, 7). If PQR is dilated by a scale
factor of 3/4, what is the perimeter of
P'Q'R'?
If necessary, round your answer to the
nearest hundredth. *
Answer:
please apply the formula of distance
l think but not sure
Find the area. Simplify your answer
Answer:
man you still have to use IXL
Step-by-step explanation:
SNACKS The face of the popcorn box can be modeled with an isosceles trapezoid with QR=3x+2.5, RS=9x−4.8 , ST=4x−2 , and QT=6x+1.2.
Answer:
TQ=SR [since it is isosceles trapezoid]
6x+1.2=9x-48
48+1.2=9x-6x
3x=49.2
x=49.2/3=16.4
now
QR=3×16.4+2.5=51.7
SR=9×16.4-48=99.6
ST=4×16.4-2=63.6
TQ=6×16.4+1.2=99.6
As it's isosceles trapezoid
QT=RS9x-4.8=6x+1.23x=6x=2Now
QR=3(2)+2.5=8.5
RS=9(2)-4.8=13.2
ST=4(2)-2=6
QT=6(2)-1.2=10.8
What is the
range of the function on the graph?
Triangle ABC has vertices A(-2,0), B(2,5), C(3, 1). The reflection of the image of triangle ABC is triangle A'B'C' with vertices A(-2,0), B12, -5), C73.
-1). What is a rule that describes the reflection?
Answer: Reflection about x-axis
Step-by-step explanation:
Given
Initially, vertices are [tex]A(-2,0), B(2,5),C(3,1)[/tex]
After reflection they become [tex]A(-2,0),B(2,-5),C(3,-1)[/tex]
It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.
For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).
So, here reflection is being done about the x-axis.
According to this diagram, what is tan 62°?
A 17/15
B 8/17
C 15/17
D 8/15
E 17/8
F 15/8
The circumference of a circle is 10 cm. What is the Radius of the circle
Answer:
The radius is 5
Step-by-step explanation:
The radius is half the circumference. Therefore, 10 ÷ 2 = 5.
Answer:
5
Step-by-step explanation:
I belI've it would be 5 um yea
have a great day
7) The ratio of boys to girls in a class is 2:3. If there are 18 boys in the class, how
many girls are in that class?
Answer:
27
Step-by-step explanation:
Boys to girls is 2:3
and there are 18 boys so that means the 2 in 2:3 is actually 18
and 2 x 9 = 18 , so you would need to also multiply 3 by 9.
3 x 9 = 27
18:27
there are 27 girls
PLEAASE HEELP! Will mark brainly!!!
A cooler shape of a rectangular prism. What is the volume of the cooler? Round to the nearest tenth if necessary.
Answer:
Volume of the cooler = 2,772 in³
Step-by-step explanation:
Volume of the cooler = length × width × height
Length = 22 in
Width = 12 in
Height = 10 1/2 in
= 21/2
= 10.5 in
Volume of the cooler = length × width × height
= 22 in × 12 in × 10.5 in
= 2,772 in³
Volume of the cooler = 2,772 in³
solve the following inequality algebraically
Help please please help me I really really need help
Answer:
(-3, -2)
Step-by-step explanation:
To find the solution of two functions, you need to know at which x and y value they are equal. So solve for x and y when 1/3x - 1 = 2x + 4
1/3x - 1 = 2x + 4
First, subtract 2x from both sides.
-5/3x - 1 = 4
Add one to both sides.
-5/3x = 5
Multiply both sides by the reciprocal of -5/3 (3/-5)
x = -3
Then, substitute x into one of the equations to get y.
1/3(-3) - 1
-1 - 1 = -2
So drag the dot to the point (-3, -2)
My brainy brother and sister added their ages together and got 15. When they multiplied their ages together, they got 54. How old is the older one between the two of them?
Given:
Sum of ages of brother and sister = 15
Product of their ages = 54
To find:
How old is the older one between the two of them?
Solution:
Let x be the age of brother and y be the age of sister.
Sum of ages of brother and sister = 15
[tex]x+y=15[/tex]
[tex]x=15-y[/tex] ...(i)
Product of their ages = 54
[tex]xy=54[/tex]
[tex](15-y)y=54[/tex] [Using (i)]
[tex]15y-y^2=54[/tex]
[tex]0=54-15y+y^2[/tex]
Splitting the middle term, we get
[tex]54-15y+y^2=0[/tex]
[tex]54-9y-6y+y^2=0[/tex]
[tex]9(6-y)-y(6-y)=0[/tex]
[tex](6-y)(9-y)=0[/tex]
Using zero product property, we get
[tex](6-y)=0\text{ and }(9-y)=0[/tex]
[tex]y=6\text{ and }y=9[/tex]
If [tex]y=6[/tex], then using (i), we get
[tex]x=15-6[/tex]
[tex]x=9[/tex]
If [tex]y=9[/tex], then using (i), we get
[tex]x=15-9[/tex]
[tex]x=6[/tex]
Therefore, the age of older one is 9, the age of younger one is 6 and the difference between their ages is 3.
Solve the Simultaneous Equations: a - b = 3
Answer:
it could be 4-1=3 but i would do 10-7=3
Step-by-step explanation:
A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in the nearest minute.
Answer:
79 minutes
Step-by-step explanation:
A plane is travelling at 180 meters per seconds
Convert to km/hr
180× 18/5
= 648 km/hr
Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is
= 1/648 × 800
= 1 hour 19 minutes
Conver the time to full minutes
60 minutes = 1 hour
= 60+19
= 79 minutes
Hence the minutes required for the plane to travel 800km is 79 minutes
I need help cand someone help me find this answer
Answer:
725.7 m²
Step-by-step explanation:
A=2πrh
r=16 1/2 ÷ 2 = 8 1/4
A= 2π(8.25)(14)=725.7
A computer program randomly selects a month of the year. What is the sample space for this experiment?
Answer:
The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1.
Step-by-step explanation:
On February 18, from 9 a.M. Until 2 p.M., the temperature rose from -14°F to 36°F. What was the total increase in temperature during this time period?
Answer: 50 degrees
Step-by-step explanation:
36 - - 14
36 + 14 = 50
how many ways can you arrange 28
Answer:
In 6 ways 28 can be arranged
Step-by-step explanation:
1 × 28 = 28
2 × 14 = 28
4 × 7 = 28
7 × 4 = 28
14 × 2 = 28
28 × 1 = 28
Thus, In 6 ways 28 can be arranged
-TheUnknownScientist
Find The Missing Lenght of the right triangle. Round to The Nearest
Answer:
b ≈ 8.49
Step-by-step explanation:
A^2 + b^2 = c^2. (Pythagorean theorem)
c is the hypotenuse or the longest side of a triangle.
a and b are the other 2 sides.
17^2 + b^2 = 19^2
289 + b^2 = 361
289 + b^2 - 289 = 361 - 289
b^2 = 72
b ≈ 8.49
Have a great day!
Can someone help me with this?
Answer:
d and e
Step-by-step explanation:
Give a brief definition of the term population.
a prediction of the entire collection of individuals about which information is required
a prediction about a subset of the entire collection of individuals about which information is required
a subset of the entire collection of individuals or objects about which information is required, selected for study in some prescribed manner
the entire collection of individuals or objects about which information is required
Answer:
The term population refers to the total number of organisms/people occupying specific area is known as population.
What is 2 x 1,000 + 6 x 100 + 5 x 10 + 3 x 1 in standard form?
Answer:
Step-by-step explanation:
2006053?
Answer:
2,000 + 600 + 50 + 3 = 2,653
Step-by-step explanation:
Find the mean of the picture below?
A piece of string is 325 centimeters long. You need the string to be 1 and 1 and 4 meters long. How many centimeters should you cut off?
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
PLSS HELP: Find the value of w
Answer:
[tex] \frac{9}{w} = \frac{15}{5} \\ w = 45 \div 15 = 3[/tex]
25 p ² + 70p+49=0
Answer please
Answer please
Step-by-step explanation:
25 p² + 70p +49=0
(5p + 7)(5p + 7) = 0
(5p + 7) =0
5p = -7
so, P = -7/5
Find the mean, median, and interquartile for the data set below.
17, 23, 8,5,9,16, 22, 11, 13, 15, 17, 18
Answer:
The Mean 14.5 and the Median is 15
Step-by-step explanation:
For the Mean you just add all the numbers up and divide on how many you have. And the Median the middle
Answer:
Below in bold.
Step-by-step explanation:
First arrange in ascending order:
5 8 9 11 13 15 16 17 17 18 22 23
Median = mean of the middle 2 values = (15+16)/2 = 15.5.
Mean = Sum of all the values / 12 = 174/12 = 14.5.
Interquartile range = upper quartile - lower quartile = 17 - 11 = 6.
find the value of x in the triangle shown below 4 9
Answer:
the answer is 65
Step-by-step explanation:
hopes this helps :)