Answer:
The length of the base of this parallelogram is 34.2
Step-by-step explanation:
To calculate the length, we work backward and calculate the base by doing area/height
We have 690.84/20.2 = 34.2
I hope this explained your confusion
Anyone please solve and explain part b
Answer:
f(2) = -6
f inverse of 1/2 is 17/2
Step-by-step explanation:
We are given a function [tex]\displaystyle \large{f(x) = \frac{6}{2x-5}}[/tex]
To solve for part (a), we have to substitute x = 2 in f(x).
[tex]\displaystyle \large{f(2)=\frac{6}{2(2)-5} \\\displaystyle \large{f(2)=\frac{6}{4-5}=\frac{6}{-1}=-6[/tex]
Therefore, f(2) is -6.
Now we solve for part (b), we see the notation which is a minor different similar to f(x). We see that there is exponent of -1 between f and 1/2. The part (b) indicates that the function is an inverse of f(x).
[tex]\displaystyle \large{y=f^{-1}(x) \longrightarrow x=f(y)}[/tex]
To solve for part (b), first we solve for x in the function. Let f(x) = y.
[tex]\displaystyle \large{y=\frac{6}{2x-5}}[/tex]
Multiply both sides by 2x-5.
[tex]\displaystyle \large{y(2x-5)=\frac{6}{2x-5}(2x-5)}\\\displaystyle \large{y(2x-5)=6}[/tex]
Divide both sides by y-term.
[tex]\displaystyle \large{\frac{y(2x-5)}{y}=\frac{6}{y}}\\\displaystyle \large{2x-5=\frac{6}{y}}\\\displaystyle \large{2x=\frac{6}{y}+5}\\\displaystyle \large{x=\frac{6}{2y}+\frac{5}{2}}\\\displaystyle \large{x=\frac{3}{y}+\frac{5}{2}}[/tex]
Then swap x and y which we receive [tex]\displaystyle \large{y=\frac{3}{x}+\frac{5}{2}}[/tex]
Therefore, [tex]\displaystyle \large{f(x)=\frac{6}{2x-5} \longrightarrow f^{-1}(x)=\frac{3}{x}+\frac{5}{2}}[/tex]
Thus, [tex]\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{3}{\frac{1}{2}}+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=6+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{17}{2}}[/tex]
____________________
Let me know if you have any questions in comment.
What is the simplest form of ^4sqrt324x^6y^8
[tex]\rm{\green{Answer \: is:-}}[/tex]
[tex]3xy \sqrt[24]{ {4x}^{2} } [/tex](3xy^2 4 sqrt 4x^2)
Step-by-step explanation:
Hope it's helpful to youLet's see
[tex]\\ \rm\Rrightarrow \sqrt[4]{324x^6y^8}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{4}{18^2x^6y^8}[/tex]
m√a^n=a^n/m[tex]\\ \rm\Rrightarrow 18^{2/4}x^{6/4}y^{8/4}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{18}x^{3/2}y^2[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{18}\sqrt[2]{x^3}y^2[/tex]
Is this relation a function? {(3, 2), (5, 9), (11, 25)}
Answer:
Yes
Step-by-step explanation:
None of the X values are the same number.
In Damien's classroom, the ratio
of boys to girls is 4:5. If there
are 12 boys, how many students
are there in all in Damien's
classroom
Answer:
The answer would be 27 students
Step-by-step explanation:
4=boys
5=girls
4 x 3 = 12
5 x 13 = 15
12+ 15 = 27
Pleaseeee help meee with this!!!!!!!!!!!!
Answer:
x=19
Step-by-step explanation:
The 2 angles are same side interior angles, so together they add to 180 degrees. So you can make this equation:
6x + 4 + 4x - 14 = 180
10x - 10 = 180 (Combine like terms)
10x = 190 (add 10 to each side)
x = 19 (divide both sides by 10)
can someone help me for this?
Answer:
500000N=2m
x. =6m
cross multiply, it'll be
6×50000÷2
=150,000N
1+2+3+4+5+6+7+8+9+10+11+!2+13=?
Answer:
91
Step-by-step explanation:
1+2+3+4+5+6+7+8+9+10+11+12+13 = (14 * 6) + 7 = 91
A group of students are working on a project. They complete 30%percent of the project in 12 hours. If they continue to work at the same speed, how many hours will it take the group to finish the project
Answer: 40 HOURS
Step-by-step explanation:
If the students complete 30% of the project in 12 hours,
that means:
12 h................................30%
? h...................................100%
(12*100)/30= 40H
THE STUDENTS NEED 40H TO COMPLETE THE PROJECT
It will take 40 hours for the group to finish the project.
How many hours will it take the group to finish the project?
If the students complete 30% of the project in 12 hours,
that means:
⇒ 12 h = 30%
⇒ ? h = 100%
By using percentage theory:
Percentage formula = (Value/Total value) × 100.
⇒ (12*100)/30= 40H
The answer is 40 hours.
What are a percentage and its formula?
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100.
Learn more about percentage here: brainly.com/question/843074
#SPJ2
25 points! :)
Pretty simple question, just not sure how to do it.
ANSWER
-3 -2, 0, .5, 1, 100 for domain
0, 1.8, 10, 19, 77, 100 For Range
Step-by-step explanation:
Domain is all the x values from least to greatest, and range is all the y vlues from least to greatet
What is (f+g) (x)
f(x) = -3x+3
g(x)=-4x as a polynomial or rational function in simplest form?
Is 1 a real or an imaginary number?
‼️‼️‼️PLS HELP I WILL MARK U BRAINLIEST‼️‼️‼️
Which translation can be used to prove that figures two and three are congruent?
A) (x, y) —> (x, y - 4)
B) (x, y) —> (x - 3, y + 1)
C) (x, y) —> (x + 2, y)
D) (x, y) —> (x + 1, y - 3)
Answer: a I think
Step-by-step explanation:
Question 1
On page 179 of your textbook, what percent of group A are Blue squares? What percent of group B are Blue squares? What percent of group C are Blue squares?
The Percent of Blue sqaures out of the total for Group A is _ %.
The Percent of Blue sqaures out of the total for Group B is _ %.
The Percent of Blue sqaures out of the total for Group C is _ %.
Answer:
The Percent of Blue sqaures out of the total for Group A is 75%.
The Percent of Blue sqaures out of the total for Group B is 60%.
The Percent of Blue sqaures out of the total for Group C is 66.66666%.
Please someone help solve:
2/2t√3≡4-2√3
Answer:
i'm assuming you want to solve for t?
t=(2√3+3)/6
What is the measure of the third angle of this triangle?
Please explain how to solve in a easy way
Answer two questions about Equations AAA and BBB:
\begin{aligned} A.&&3x-1&=7 \\\\ B.&&3x&=8 \end{aligned}
A.
B.
3x−1
3x
=7
=8
Answer:
I don,t knowe wallh
Step-by-step explanation:
Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1:4:6. If 20 buckets of sand are used, how many buckets of EACH of the following will be
needed?
a)
Cement:
T
b) Gravel:
the perimeter of a rectangular field is is 84m.If the width of the rectangle is 6m less than the length,then find the dimensions?please friends help!!!!!!!!
Answer:
24
**Solving Steps**
2 x (2 x X - 6) = 84
4x-12=84
84+12=96
96/4 = 24
Hope it helps.
i just need to know if this is correct and if i need to fix anything
Answer:
its correct
Step-by-step explanation:
Multiply
-4/5 • 3
Write your answer in simplest form.
Answer:
[tex]-2\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{-4}{5} *\frac{3}{1}[/tex] multiply across
[tex]\frac{-12}{5}[/tex] turn into mixed number
[tex]-2\frac{2}{5}[/tex]
after sales tax a 33 dollar photo album cost 35.97 dollars. What is the sales tax percentage
Answer:
9%
Step-by-step explanation:
Set up a ratio:
[tex]\frac{33}{100}[/tex] = [tex]\frac{35.97}{x}[/tex]
Cross multiply: 33x = 35.97 * 100
33x = 3597
Divide by 33: x = 109
That means the tax is 9%.
Pick the corrrect one form the dropdown
Answer:
easy
Step-by-step explanation:
Its very easy for any human to be able to see and compare data as when they are right next to eachother, so you can easily prove a good strong point
What is 38x+40+120x=34x-7(20-19x)
Answer:
3
8
+
4
0
+
1
2
0
=
3
4
−
7
(
2
0
−
1
9
)
{\color{#c92786}{38x}}+40+{\color{#c92786}{120x}}=34x-7(20-19x)
1
5
8
+
4
0
=
3
4
−
7
(
2
0
9
)
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
[tex]38x+40+120x=34x-7(20-19x)\\\rule{180}{0.5}\\\text{Simplifying the left:}\\\\38x+120x+40\\\\158x + 40\\\\\text{Simplifying the right:}\\\\34x-7(20-19x)\\\\34x - 140 + 133x\\\\34x + 133x - 140\\\\167x - 140\\\rule{180}{0.5}\\158x + 40 = 167x - 140\\\\158x + 40 - 40 = 167x - 140 - 40\\\\158x = 167x - 180\\\\158x - 167x = 167x - 167x - 180\\\\-9x = -180\\\\\frac{-9x}{-180}\\\\\boxed{x = 20}[/tex]
Hope this helps.
What is the equation of a line with a slope of 4 that passes
through point (-2,5)? A y = -1/4x - 3 B y = -4x + 5 C y = 4x + 5 D y = 4x + 13
Answer:
Solution given:
slope(m)=4
passes through (x',y')=(-2,5)
we have
equation of a line is:
y-y'=m(x-x')
substituting value we get
y-5=4(x-(-2))
y-5=4(x+2)
y-5=4x+8
y=4x+8+5
y=4x+13 is a required equation of a line.
need help with this pls
Answer:
Hence y = (5k -3)/ (1 - k)
.... shown
HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!
[tex]\left(-\dfrac 16 \right)^2 +\dfrac 58 \left(-\dfrac 19} \right)\\\\\\=\dfrac 1{36} -\dfrac{5}{72}\\\\\\=\dfrac 2{72} - \dfrac{5}{72}\\\\\\=-\dfrac 3{72}\\\\\\=-\dfrac 1{24}[/tex]
Answer:
Step-by-step explanation:
(-1/6)^2 + 5/8(-1/9)= -0.0416
Thus the answer is -1/24
CAN SOMEONE HELP ME PLEASE ASAP!?
What are the coordinates of the image Triangle ABC reflection over the line y=x ( please help!!)
Answer:
A (2,-1)
B (-3,-2)
C (-2,1)
Step-by-step explanation:
A (-2,-1), B (3, - 2), and C (2,1)
Image of triangle ABC reflexión over the y: opposite of the x-coordinates. The y coordinates stay the same.
A’ (2,-1), B’ (-3, -2), and C’ (-2,1)
Helpp real quick GIVING CROWNN!!
Answer:
2g+60>92
Step-by-step explanation:
Anyone know these answers for algebra? (There's 16)
1. 7/n-6=9/5
2. r-2/5=6/7
3. A+6/5=7/2
4. 10/2=x-9/4
5. 8/7=9/n-7
6. p-7/p=10/8
7. N+9/3=n/4
8. N+8/6=n/4
9. 7% of what is 20.4
10. 71 is 38% of what
11. What percent of 158 is 6
12. 390% of what is 150
13. 47% of what is 91.6
14. 10% of what is 159
15. 34% of what is 126
16. 91% of what is 48