Step-by-step explanation:
Let breadth =x
Length=5x-3
As we know that in a rectangle
[tex]\boxed{\sf Area=lb}[/tex]
Substitute the values[tex]{:}\hookrightarrow\sf x (5x-3)=14 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x=14[/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-10x+7x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x (x-2)+7 (x-2)=0[/tex]
[tex]{:}\hookrightarrow\sf (x-2)(5x+7)=0 [/tex]
[tex]{:}\hookrightarrow\sf x-2=0\quad or\quad 5x+7=0 [/tex]
[tex]{:}\hookrightarrow\sf x=2\:or\:x=\dfrac {-7}{5}[/tex]
Ignore negative value[tex]{:}\hookrightarrow\sf Breadth =2cm[/tex]
[tex]{:}\hookrightarrow\sf Length=5 (2)-3=10-3=7cm[/tex]
part two thinking a number between 1 and 10 but doble the money!
explain how to evaluate f(g(0)).
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
==================================================
Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]
[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]
which could be the name of a plane?
Answer: where are the options?
Step-by-step explanation:
Answer:
There is not enough information presented to give an answer
Step-by-step explanation:
If you add more information, I will try and answer it for you
An adult seal at a marine park consumes 2,400 kilograms of food in one year. If it consumes the same amount of food every month, how many kilograms of food does the seal consume per month?
PLZZZZZ HELP MEEEEEEEE
Answer:
i am confused
Step-by-step explanation:
the bits on it is not that good to look at
A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the slope of the regression line?
A:For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
B;For each increase in number of procrastination days by 1, the predicted grade decreases by 96.5 points.
C;For each increase in grade by 1 point, the predicted number of procrastination days decreases by 96.5 days.
D:For each increase in grade by 1 point, the predicted number of procrastination days decreases by 3.64 days.
Answer:
A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.
Step-by-step explanation:
The slope of a Regression Line
A straight line can be represented in the slope-intercept form:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope describes how fast and in what direction the graph goes when x changes values.
If m is positive, increments in x imply increments in y.
If m is negative, increments in x imply decrements in y.
The regression line is:
ŷ = –3.64x + 96.5
Where:
x = the number of procrastination days
ŷ = the predicted grade
We can say the slope is m=-3.64. This means that:
A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.
Pretty sure the guy above me is right, although I have not checked on edge.
(A) For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
kinda sucks how theres nothing for stats on here but i hope to help a little =================================
if you're looking for "What is the predicted grade of a student who procrastinated for 2 days?" as-well, the answer for that seperate question is (C) 89.22 .
=================================
ED2021
What is the perimeter of this polygon?
------------------------ᴇʀʀᴏʀ
What is the distance between the points M (-21,-7) and N (-5,-7)?
A.28 units
B.16 units
C.26 units
D.14 Units
PLEASE HELP HELP HELP HELP HELP HELPPPPPP
Answer:
your picture isnt loading can you tell me the problem?
Step-by-step explanation:
What is the equation of the line –3x–2y=30 in slope-intercept form?
Enter your answer in the box.
Answer:
y = - 1.5x - 15
Step-by-step explanation:
Step 1:
- 3x - 2y = 30 Equation
Step 2:
- 2y = 3x + 30 Add 3x on both sides
Step 3:
y = - 1.5x - 15 Divide 2 on both sides
Answer:
y = - 1.5x - 15
Hope This Helps :)
Answer: y = - 1.5x - 15
Step-by-step explanation:
First, we will add 3x to both sides of the equation.
-2y = 3x + 30
Next, we will divide 2 on both sides of the equation.
y = -1.5x - 15
Answer - y = -1.5x - 15
PLZ HELP ASAP!!!!!
Which statement is true regarding the graphed function
A. f(0)=g(0)
B. f(-2)=g(-2)
C. f(0)=g(-2)
D. f(-2)=g(0)
13. Solve 2/3 + 5/6 and put answer in simplest
form.
O A. 11/2
B.
c. 76
D.776
Answer:
3/2 or 1 + 1/2
i havent done fractions in a long time but this is what i got from memory
you turn the 2/3 into 4/6 so they can easily be added together to get 9/6 which can be simplified to 3/2 or in proper form 1 + 1/2
How many solutions does the system have?
Pig Race
Time (seconds)
O zero
O one
O two
O infinite
Answer:
Step-by-step explanation:
I think it's 2
Karina needs a total of $45 to buy her mother a birthday present. She has saved 20% of the amount so far. How much has she saved
Answer:
$9.00
Step-by-step explanation:
$45.00x20%=9
Answer:
$9
Step-by-step explanation:
$45 X .2 = $9
Choices would be
x = -0.4
x = 10
x = 2
X = -10
Answer:
The first one is
The second one is -
The third one is -.
The last one is
Step-by-step explanation:
ALSO I would really appreciate if you could check out our math channel. It is called Evimero Academy
Thank you so much and have a good day
If you made $47,000 in 2020, and are getting a 3% raise, how much will you make in 2021? *
Answer:
48,410$ in 2021
Step-by-step explanation:
3% of 47,000 is 1,410
add the 3% increase to 47,000 to get 48,410$
Answer:
[tex]48[/tex],[tex]410[/tex]
Step-by-step explanation:
__________________________________________________________
[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]
[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]
__________________________________________________________
[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]
[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]
__________________________________________________________
Hope this helps! <3
__________________________________________________________
How would you describe the difference between the graphs of f(x) =2/3x^3 and g(x)=2/3(-x)^3
A. g(x) is a reflection of f(x) over the line y = x.
B. g(x) is a reflection of f(x) over the y-axis.
C. g(x) is a reflection of f(x) over the x-axis.
D. g(x) is a reflection of f(x) over the line y = 1.
Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which expressions can represent the length and width of the garden? length = x2 – 3 feet; width = 2 feet length = 2x + 3 feet; width = x – 2 feet length = 2x + 2 feet; width = x – 3 feet length = 2x – 3 feet; width = x + 2 feet
D is the correct answer!
Hope this helped with the question you were looking for. Lmk on this problem if you need any help with any other questions!
The expression that can represent the length and the width are 2x - 3 and x + 2 respectively.
Area of a rectanglearea = lwwhere
l = length
w = width
Therefore,
area = 2x² + x – 6
Let's factorise
2x²- 3x + 4x - 6
x(2x - 3) + 2(2x - 3)
Therefore,
(x + 2)(2x - 3)
Therefore, the expression that can represent the length and the width are 2x - 3 and x + 2 respectively.
learn more on rectangle here: https://brainly.com/question/2605457
8.
Mia's booth rental fee at a hair salon is $128 per week. Which table shows the sum of the amount that Mia will pay over the next 8 weeks?
Answer: If you're renting a chair/booth, it's making sure ALL of the costs ... That's $3000 in revenue generated per week or $150K in revenue ... It's waiting for hair to dry.
Step-by-step explanation:
Piont P is plotted on the coordinate grid. If point S is 10 units to the left of point P, what are the coordinates of point S?
Answer:
the answer is b
Step-by-step explanation:
because p is at (6,4) and its moving to the left so the y wont change but the x will so subtract 10 units from 6 and you get -4.
Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make
Answer:
6
Step-by-step explanation:
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The ratio in the table for distance covered in meters to time taken in hours is constant
Distance Covered im
8
16
32
d
48
Time Taken ihr.
6
12 15 18
Let d = distance covered in 15 hr.
Let t = time taken to cover 8 m.
Which table shows the correct values for t and d?
The table that shows the correct t and d values is
Distance Covered (m) Time Taken (hr)
8 6
32 15
How to determine the correct values for t and d?The table of values is given as:
Distance Covered (m) Time Taken (hr)
8 6
16 12
32 15
48 18
The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours
When these values are extracted, we have:
Distance Covered (m) Time Taken (hr)
8 6
32 15
The above represents the table that shows the correct t and d values
Read more about distance and time at:
https://brainly.com/question/13877898
#SPJ1
find a number such that five more than one half the number is three times the number
Answer:
0.5
Step-by-step explanation:
PLEASE HELP
If the spinner is spun, what are the ODDS that the pointer lands on the number 6 or greater?
Answer:
What's the spinner? How many numbers are on it?
Step-by-step explanation:
Is the equation 2x + 5 = 1 true, false, or open? Explain.
Answer:
open
Step-by-step explanation:
beacause
2x+5=1
2x=1-5
2x=-4
x=-4/2
x-2 so its open
An open statement is a statement that has an unknown variable
[tex]2x + 5 = 1[/tex] is an open statement
The equation is given as:
[tex]2x + 5 = 1[/tex]
From the equation, we have the following observations.
2, 5 and 1 are constants
x is a variable
Because the equation has a variable (i.e. x), then it is an open statement
Hence, [tex]2x + 5 = 1[/tex] is an open statement
Read more about open statements at:
https://brainly.com/question/11151728
15 PTS!!!!!!!!!!!!
What is the product of -2/7 and -3/7?
Answer:
6/49
Step-by-step explanation:
-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.
What is the equivalent addition problem -9.5 –(-8) – 6.5?
Answer:
8+8+8 or 9.5+8+6.5
I hope this helped u :)
Step-by-step explanation:
8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?
Answer:
iacbsc kakwc s s k kd sdidv d lm vdfj
Step-by-step explanation:
EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?
Answer: 6, 21, 3
Step-by-step explanation:
2:7:1
Also, 2x 7x and 1x or just x
2x+7x+x = 30
10x = 30
x=3
So the three numbers: 2(3):7(3):1(3) OR 6:21:3
