Answer:
The shorter side of pentagon is 6cm long
Step-by-step explanation:
Given two equations are:
[tex]y = x + 2\\2x + 3y = 36[/tex]
We can use any one of the methods to solve the simultaneous linear equations
As it is also given that x is the length of shorter side, we have to find the value of x
Using the substitution method
We will put the value of y i.e. x+2 in the 2nd equation
So,
[tex]2x+3(x+2) = 36[/tex]
Simplification gives us:
[tex]2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\x = \frac{30}{5}\\x =6[/tex]
Hence,
The shorter side of pentagon is 6cm long
The function g(x) is a transformation of the cube root parent function,
f(x) = y. What function is g(x)?
5
g(x)
f(x)
5
-5
A. g(x) = 1 va
B. g(x) = a + 2
C. g(x) = 27
Answer:
g(x) = [tex]2(\sqrt[3]{x})[/tex]
Step-by-step explanation:
Parent function given in the graph attached is,
f(x) = [tex]\sqrt[3]{x}[/tex]
Function 'f' passes through a point (1, 1).
If the parent function is stretched vertically by 'k' unit,
Transformed function will be,
g(x) = k.f(x)
Therefore, the image of the parent function will be,
g(x) = [tex]k(\sqrt[3]{x})[/tex]
Since, the given function passes through (1, 2)
g(1) = [tex]k(\sqrt[3]{1})[/tex] = 2
⇒ k = 2
Therefore, image of the function 'f' will be,
g(x) = [tex]2(\sqrt[3]{x})[/tex]
A tree planted today has a height of 5 feet and grows one foot per month. Is the height of the tree a function of the number of months? If so, is it a linear or a non-linear function?
Answer:
Liner function
x = 5 + n
Step-by-step explanation:
Given:
Height of tree = 5 ft
Grow per month = 1 ft
Find:
Equation:
Computation:
Assume;
New height of tree x
Number of month = n
x = 5 + 1(n)
x = 5 + n
5
X-2
2
3
{x+1
I need help
Answer:
is this a question or we suppose to slice it or what
Answer:
− 218 x − 223
Step-by-step explanation:
6m+4(−2m+6)=10
please help
Answer:
m = 7
Step-by-step explanation:
Answer:
m=7
Step-by-step explanation:
100 points! PLEASE HELP and EXPLAIN
Answer:
3 on the reasons side is reflexive property
Step-by-step explanation:
AM = DM = AB - Transitive property
(look at your notes)
Answer:
it's a little upside down but i think its B
Step-by-step explanation:
What is the square root of 100,000,000
Answer:
I think 10,000
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
What is the value of x?
Answer:
36
Step-by-step explanation:
72+3x=180(being sum of straight angle)
3x=180_72
3x=108
x=108÷3
x=36
Plz help me! I really appreciate it
Answer:
The equation y = [tex]-\frac{8}{7}[/tex] x - 7 represents a line perpendicular to the given line
Step-by-step explanation:
The product of the slopes of the perpendicular lines is -1, which means if the slope of one line is m, then the slope of the perpendicular line to it is [tex]\frac{-1}{m}[/tex] (negative reciprocal)
The slope of the equation ax + by = c is [tex]\frac{-a}{b}[/tex], where a, b, c are constantThe slope of the equation y = m x + b is mLet us solve the question
∵ The equation of the given line is 7x - 8y = 16
∴ a = 7 and b = -8
→ Use the rule above to find the slope of it
∵ The slope of the given line = [tex]\frac{-7}{-8}[/tex]
∴ The slope of the given line = [tex]\frac{7}{8}[/tex]
To find the slope of the perpendicular line to it reciprocal the fraction and change its sign
∴ The slope of the perpendicular line = [tex]-\frac{8}{7}[/tex]
→ Look at the answer to find the equation which has this slope
∴ The equation of the perpendicular line is y = [tex]-\frac{8}{7}[/tex] x - 7
HELP ASAP PLEASS
Jane graded an assignment from all the students in one class. She graded a total of 324problems. Find Jane's daily gross earnings.
1-100 problems $0.02 each.
101-200 problems $0.08 each.
over 200 problems $0.12each.
Answer:
I'm assuming #2 but just wanted to make sure.
Step-by-step explanation:
Possibility 1:
100 * 0.02 = 2.00
100 * 0.08 = 8.00
124 * 0.12 = +14.88
$24.88
Possibility 2:
324 * 0.12 = $38.88
The dimensions of a tin box are 4m * 3.5 m * 3m. If 25 such boxes are to be made. Find the area of the tin sheet required.
Answer:
1750 m²
Step-by-step explanation:
Dimension of tin box = 4m * 3.5 m * 3m
Length, l = 4 ; width, W = 3.5 ; height, h = 3
Total Surface area= 2(lw * lh * wh)
= 2((4*3.5) + (3.5*3) + (3.5 * 3))
= 70 m³
Area required to make 25 ;
25 * 70m³
= 1750 m³
Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
x cubed (RootIndex 3 StartRoot y EndRoot)
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)
Answer:
Answer is D
Step-by-step explanation:
On Edge 2020
Bill, Phil and Jenny are siblings. Bill is twice as old as Phil. Jenny is two years younger than Bill. Currently, their dad is twice as old
as the sun of their ages. In nine years, their dad's age will be equal to the sum of his three kids' ages at that time. What is Jenny's
current age?
Answer:
as below
Step-by-step explanation:
current ages
Bill is 8
Jenny is 6
and Phil is 4
the dad is 36
9514 1404 393
Answer:
6
Step-by-step explanation:
Let p, b, j, d represent the ages of Phil, Bill, Jenny, and Dad. We are given the relations ...
b = 2p
j = b -2
2(p +b +j) = d
(p+9) +(b+9) +(j+9) = d+9
_____
Solving the last equation for d, we get ...
(p +b +j) +18 = d
Substituting for the sum of p, b, j in the third equation, we have ...
2(d -18) = d
d = 36 . . . . . . . . add 36-d
Substituting for b and j in the third equation, we get ...
2(p +(2p) +(2p-2)) = 36 . . . . . uses b=2p in the 2nd equation
10p -4 = 36 . . . . . . . . . . . . . . . collect terms
p = 40/10 = 4 . . . . . . add 4; divide by 10
b = 2p = 8
j = b -2 = 6
Jenny's current age is 6.
_____
All of the ages are ...
Bill: 8; Jenny: 6; Phil: 4; Dad: 36
Select the equivalent expression.
(x4/7-8)^-7
Choose 1 answer:
Answer:
c
Step-by-step explanation:
[tex](a^{m})^{n} = a^{m*n}\\\\\frac{1}{a^{m}}=a^{-m}[/tex]
[tex](\frac{x^{4}}{7^{-8}})^{-7} = \frac{x^{4*(-7)}}{7^{-8 * (-7)}}\\\\=\frac{x^{-28}}{7^{56}}\\\\= x^{-28}*7^{-56}[/tex]
Answer:
C
Step-by-step explanation:
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each club
member must select for the club to meet the goals?
Answer:
The correct answer is 10n ≥ 470.
Step-by-step explanation:
Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.
They already collected 30 canned goods, therefore we can subtract this quantity from out goal.
500 - 30 = 470
Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.
Hope this helps! :D
Choose all of the equations for which x=2 is a solution.
!!! Please help me out. precalc math. will report if answer is n/a
Answer:
x intercept = (3,0)
vertical asymptote = 2
Step-by-step explanation:
IMPORTANT!!!
It's blank 2 first then blank 1, don't get it mixed up!
*WORKSHEET ABOVE* HURRY!! please answer all the questions correctly AND SHOW YOUR WORK FOR EVERY SINGLE QUESTION PLEASE HURRY!!! THIS IS WORTH 20 POINTS
Answer: I am only in 4th grade !
Step-by-step explanation: I dont know ?
Your teacher has 72 juice boxes and 90 candies for a Halloween party. Each student will receive the same amount of juice boxes/candies, and all juice boxes/candies must be used.
What is the greatest number of students that can attend the party?
The price of a DVD is $24.00 plus %8 sales tax. What is the sales tax on this DVD in dollars and cents
Answer:
Sales tax is $1.92 or 192 cents.
I hope this helps! Have an awesome day!
3) Graph by making a
table.
y=x
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = x[/tex]
Required
Plot the graph
First, we need to make a table.
To do this, we assume values for x
When [tex]x = 1[/tex]
[tex]y = x = 1[/tex]
[tex](x_1,y_1) = (1,1)[/tex]
When [tex]x = 2[/tex]
[tex]y = x = 2[/tex]
[tex](x_2,y_2) = (2,2)[/tex]
When [tex]x = 3[/tex]
[tex]y = x = 3[/tex]
[tex](x_3,y_3) = (3,3)[/tex]
When [tex]x = 4[/tex]
[tex]y = x = 4[/tex]
[tex](x_4,y_4) = (4,4)[/tex]
So, the table is:
[tex]x || 1 || 2 || 3 || 4[/tex]
[tex]y || 1 || 2 || 3 || 4[/tex]
See attachment for graph
John, who is 42 years old, has a nephew age 9. In how many years will the age of his nephew be one-fourth John's age. Solve algebraically.
Answer:
hope this is correct..........
An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. What is the probability that the sun of the dots is 7 or 11
Answer:
4 /9
Step-by-step explanation:
Given that :
Number of faces on a number cube = 6
Sample space for two number faces = 6² = 36
Probability that sum of a roll is 7 or 11:
Probability = number required outcome / Total possible outcomes
Number of Required outcome = number of 7's + number of 11's
Number of 7's = 6
Number of 11's = 2
Total = 8
Total possible outcomes = 6² =36
P(sum of 7 or 11 ) = 8 /36 = 4 /9
To Cool Auto pays commission based on the profit they
make from the vehicle. They pay 21% when profit is less
then $1000, They pay 22,5% when profit is between $1000
and $1200. When they earn a profit over $1200 they pay
23.5%. What formula should replace A, B, and C in the
following plecewise function if x represents the profit from
the sale? Fill in the blanks below,
if x < 81,000
c(x) =
{
if 81,000 < x < $1,200
if x > $1,200
Answer:
The answer is below
Step-by-step explanation:
Let x represent the profit made from sales and c(x) the commission based on sells. If the profit is less then $1000,they 21%, hence:
if x < 1000, c(x) = 0.21x
If the profit is less between $1000 and $1200,they 22.5%, hence:
if 1000 < x < 1200, c(x) = 0.225x
If the profit is greater than $1200,they 23.5%, hence:
if x > 1200, c(x) = 0.235x
Therefore the commission represented as a piecewise function is:
[tex]c(x)=\left \{ {{0.21x\ \ x<1000} \atop {0.225x\ \ 1200<x<1000}} \atop {0.235x\ \ x>1200} \right.[/tex]
Can anyone please simplify this?:
(7^3)^6
Answer:
7^18
Step-by-step explanation:
When you have an exponent to another exponent, you can multiply the exponents.
(7^3)^6
3*6 = 18
7^18
In how many years the simple interest on ₹2000 is less than the simple interest on ₹33000 at 5% by ₹50?
[Irrelevant answers will be reported]
Answer:
0.0322580
Step-by-step explanation:
Simple interest : principal * rate * time
(simple interest on 33000) - (Simple interest on 2000) = 50
Let Time = t
2000 * 0.05 * t = 100t
(33000 * 0.05 * t) = 1650t
1650t - 100t = 50
1550t = 50
t = 50 / 1550
t = 0.0322580
What is x???????????
Answer:
17
Step-by-step explanation:
6^2 + y^2 = 10^2
36 + y^2 = 100
y^2 = 64
y = 8
y^2 + 15^2 = x^2
64 + 225 = x^2
289 = x^2
x = 17
A pot holds 16 gallons of soup. A server will empty the pot into one pint containers
How many containers will the server fill?
Answer:
The server will fill 128 containers.
Step-by-step explanation:
1 gallon = 8 pints
In order to find out how many pints is 16 gallons, we need to multiply 16 by 8.
16 x 8 = 128 pints
If each container can only hold one pint of soup, and the pot hold 16 gallons of soup, than the server will fill 128 containers.
Hope this helps! :D
y+z=4 y-z=8
how to solve this problem
Use elimination
y + z = 4
y - z = 8
Subtract both
2z = -4, z = -2
Y - 2 = 4, y = 6
Solution: y = 6, z = -2
Please answer!!!!
Express (x + 9)2 as a trinomial in standard form.
Answer:
x² +18x +81
Step-by-step explanation:
(a+b)²=a²+b²+2ab
(x+9)² = x²+9²+2*x*9= x² +18x +81
determine the x-intercepts of the function. check all that appy
Answer:
the answer to that is =(-2,0) , because when you draw your graph you can see where the curve touches, the x axis on -2 and 0.
Answer:
(- 2, 0 ) and (0, 0 )
Step-by-step explanation:
The x- intercepts are where the graph intersects with the x- axis.
Here, there are 2 points where the graph crosses the x- axis, that is
(- 2, 0 ) and (0, 0 )