Answer:
see below
Step-by-step explanation:
take f(x)=5x-6, which is y=5x-6
switch the y for x and x for y and you get
x=5y-6
then add 6 on both sides and you get
x+6=5y
now divide both sides by 5 and you get
y=(x+6)/5
which is the inverse of the original function
Answer:
Solution given:
f(x)=5x-6
let f(x)=y
we get
y=5x-6
Interchanging role of x and y
x=5y-6
x+6=5y
y=[tex]\bold{\frac{x+6}{5}}[/tex]
so
f-¹=[tex]\bold{\frac{x+6}{5}}[/tex]
shown
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
Answer:
one
Step-by-step explanation:
If two lines are not parallel, they will intersect one time as shown by the graph given.
Where the two graphs intersect is the solution to the system.
Does the table represent a function? Why or why not?
Need help ASAp plz and thank you
Answer:
pls use calculater
Step-by-step explanation:
because i also dont know now what shall i do so its a good suggestion for you i hope
Find the value of x.
Answer:
25
Step-by-step explanation:
The median of a trapezoid equals one half of the sum of the bases
AC is a median and EB and DF are the bases.
hence AC = 1/2(EB + DF)
We are given that EB = 13 and that AC = 19. And we need to find DF
To do so we plug in what we are given and solve for DF
AC = 1/2(EB + DF)
AC = 19, EB = 13
19 = 1/2(13 + DF)
Now solve for DF
* Multiply both sides by 2*
19 * 2 = 38
1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )
We then have 38 = 13 + DF
* Subtract 13 from both sides *
38 - 13 = 13 - 13 + DF
We get that DF = 25
6.
These triangles ARE similar! Which reason proves it?
Р
10
U
T
Circle one:
AAN
SSS
SAS
9
12
8
6
SHOW CALCULATIONS to verify they are similar!
R
s
15
Answer:
Step-by-step explanation:
Comparing the triangles in the given questions, the following can be deduced:
5. The scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] ≠ [tex]\frac{9}{7}[/tex]
So that;
QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.
Thus, the triangles are NOT similar.
6. Scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{9}{6}[/tex]
= 1.5
So that;
QR is similar to UT, PR is similar to US, but PQ is similar to TS.
Thus, the triangles are similar by Side-Side-Side (SSS).
7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.
Which of the following equations of a line is NOT written in standard form?
A. 3x + 2y = 8
B. -9x – 4y = 17
C. x + y = 10
D. y = 6x
Step-by-step explanation:
None of the options are written as standard except option D.
Answer:
D. y = 6x
Step-by-step explanation:
Edge 2022
Someone please help out
Answer:
Option D
Step-by-step explanation:
Alternate Interior angles are angles that are on the opposite sides of the transversal line (which is the line that cuts across the two parallel lines) and are on the inside of the two parallel lines which in this case is Option D.
1.
Congruent
Not Congruent
Supplementary
2.
Adjacent
Corresponding
Vertical
Answer:
Congruent
Vertical
Step-by-step explanation:
E and G are vertical angles and vertical angles are equal
They are congruent because they are vertical
Can someone help me with this math homework please!
1st one = Arithmetic (A)
2nd = neither
3rd = Geometric (G)
4th = A
5th = G
Captain Liz is going to load her cruise ship with bags of sugar. She has room for 19 bags of sugar. She has allotted for 121 pounds of sugar on her ship. She can choose from 7-pound bags (the variable s) or 10-pound bags (the variable p). Which equations would be a constraint to Captain Liz maximizing her sugar load?
Correct answers with explanations will earn you brainliest :)
Answer:
[tex]19 = s + p[/tex] and [tex]121 = 7s + 10p[/tex]
Step-by-step explanation:
First we use constraints given by the problem to set up two equations:
We can only have a total of 19 bags, so:
[tex]19 = s + p[/tex]
Then, we want to maximize her sugar load. Using the info on the weight of each bag and the max carrying capacity:
[tex]121 = 7s + 10p[/tex]
Answer:
Step-by-step explanation:
Let the sugar from 7 pound bags be represented by = s
And let the sugar from 10 pound bags be represented by = p
As given, Captain Liz has room for 19 bags of sugar.
This becomes [tex]s+p=19[/tex] .......(1)
Also given is , she has room for 19 bags of sugar, so equation becomes:
[tex]7s+10p=121[/tex] ............(2)
Hence, these are the correct equations.
Three red balls, 5 green balls and a number of blue balls are put together in a sac. One ball is picked at random from the sac. If the probability of picking a red ball is 1|6, find the a) The number of blue balls in sac. B) the probability of picking a green ball.
Answer:
a) 10 blue balls, b) 5/18
Step-by-step explanation:
a)
R=3, G=5, B=x (unknown)
probability of picking red = 1/6 and red = 3 so total = 3(6) = total is 18
3+5 = 8 so B=18-8 -> B=10
b) total is 18 and G=5 so green probability = 5/18
Please help, I need the answer by tomorrow!
Answer:
6, 5, 4
Step-by-step explanation:
Midpoint is exactly half so it would be half the value of triangle ABC's value
12/2=6
10/2=5
8/2=4
A group of ten people is going to play ball this weekend . Four will play basketball : half as many people will play baseball , and the rest will play soccer. How many people will play soccer?
Answer:
4
Step-by-step explanation:
Four people will play basketball, so 10 - 4 = 6.
Half as many people will play baseball, and half of 4 is 2, so 6 -2 = 4.
The rest will play soccer, which is 4.
i will make you brainliest pls help me
1) 8
2) 6(5x+2y) factor out greatest common factor
3) 10.8 just move over decimal two places to the left.
4) 30t=150? Then t=5kg Im not sure what the last one is asking, but I’m assuming it’s to solve for t.
WILL GIVE BRAINLIEST IF UR RIGHT!
Find g(x), where g(x) is the translation 6 units up of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
[tex]g(x)=x^2+6[/tex]
Step-by-step explanation:
Hi there!
We're given [tex]f(x)=x^2[/tex], and that [tex]g(x)[/tex] is a translation of [tex]f(x)[/tex] 6 units up.
This means that [tex]g(x)=f(x)+6[/tex].
[tex]g(x)=f(x)+6[/tex]
Rewrite the equation
[tex]g(x)=x^2+6[/tex]
This would be our final equation. It does not look like the form [tex]a(x-h)^2+k[/tex], However, when rewritten as [tex]g(x)=1(x-0)^2+6[/tex], we can tell clearly that it is.
I hope this helps!
Which best describes the incenter of a triangle?
O A. The point where the three altitudes of the triangle intersect
O B. The point where the three medians of the triangle intersect
O C. The point where the perpendicular bisectors of the three sides of
the triangle intersect
O D. The point where the three angle bisectors of the triangle intersect
Answer:
D. it is the point where the three angle bisectors of the triangle intersect.
Step-by-step explanation:
Because in geometry the incenter of a triangle is deliberated as the center of a triangle.
A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon?
600 in.2
1,038 in.2
1,200 in.2
2,076 in.2
Answer:
B
Step-by-step explanation:
A=(3*sqrt(3)*a^2)/2
A=(3*sqrt(3)*400)/2=1038
Answer:
B. 1,038 in.2
Step-by-step explanation:
Instructions : Find EX if JX = 17 plz help I don’t understand
Answer:
EX = 51
Step-by-step explanation:
The 3 intersecting lines in the triangle are medians.
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, that is
EJ = 2 JX = 2 × 17 = 34 , then
EX = EJ + JX = 34 + 17 = 51
Given: F(x) = 2x^2+ 1, G(x) = 2x - 1, H(x) = x
F-2) =
Answer:
Step-by-step explanation:
I need helppppp!!!!!!!!
Answer:
√124
Step-by-step explanation:
Using the Pythagorean theorem, We got: x^2 + (√101)^2 = 15^2
x^2 + (√101)^2 = 15^2
x^2 = 15^2 - (√101)^2
x^2 = 225 - 101
x^2 = 124
x = √124
The answer is √124
If ABCD is dilated by a factor of 3, the
coordinate of C' would be:
5
c
B
2
-6 -5 -4 -3 -2 -1 0
2
3
4
5
-1
-2
A
D
C' = ([?],[])
--3
Oliver invested $970 in an account paying an interest rate of 7 1/2 % compounded continuously. Carson invested $970 in an account paying an interest rate of 7 3/8% compounded annually. To the nearest of a hundredth of a year, how much longer would it take for Carson's money to double than for Oliver's money to double?
Answer:
0.50 or about half a year longer.
Step-by-step explanation:
We can write an equation to model bot investments.
Oliver invested $970 in an account paying an interest rate of 7.5% compounded continuously.
Recall that continuous compound is given by the equation:
[tex]A = Pe^{rt}[/tex]
Where A is the amount afterwards, P is the principal amount, r is the rate, and t is the time in years.
Since the initial investment is $970 at a rate of 7.5%:
[tex]A = 970e^{0.075t}[/tex]
Carson invested $970 in an account paying an interest rate of 7.375% compounded annually.
Recall that compound interest is given by the equation:
[tex]\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}[/tex]
Where A is the amount afterwards, P is the principal amount, r is the rate, n is the number of times compounded per year, and t is the time in years.
Since the initial investment is $970 at a rate of 7.375% compounded annually:
[tex]\displaystyle A = 970\left(1+\frac{0.07375}{1}\right)^{(1)t}=970(1.07375)^t[/tex]
When Oliver's money doubles, he will have $1,940 afterwards. Hence:
[tex]1940= 970e^{0.075t}[/tex]
Solve for t:
[tex]\displaystyle 2 = e^{0.075t}[/tex]
Take the natural log of both sides:
[tex]\ln\left (2\right) = \ln\left(e^{0.075t}\right)[/tex]
Simplify:
[tex]\ln(2) = 0.075t\Rightarrow \displaystyle t = \frac{\ln(2)}{0.075}\text{ years}[/tex]
When Carson's money doubles, he will have $1,940 afterwards. Hence:
[tex]\displaystyle 1940=970(1.07375)^t[/tex]
Solve for t:
[tex]2=(1.07375)^t[/tex]
Take the natural log of both sides:
[tex]\ln(2)=\ln\left((1.07375)^t\right)[/tex]
Simplify:
[tex]\ln(2)=t\ln\left((1.07375)\right)[/tex]
Hence:
[tex]\displaystyle t = \frac{\ln(2)}{\ln(1.07375)}[/tex]
Then it will take Carson's money:
[tex]\displaystyle \Delta t = \frac{\ln(2)}{\ln(1.07375)}-\frac{\ln(2)}{0.075}=0.4991\approx 0.50[/tex]
About 0.50 or half a year longer to double than Oliver's money.
Solve the following system of equations by graphing. Label the solution and all intercepts.
4x-2y=8
y=1/2x+2
Please show me also how to graph it. Thanks a ton!
Answer:
(4,4)
y = 4
x = 4
Step-by-step explanation:
First we need to input y = 1/2x + 2 into 4x - 2y = 8.
4x - 2 (1/2x + 2) = 8 <-- Then solve
4x - 1x + -4 = 8
3x - 4 = 8
+4 +4
---------------------
3x = 12
3 3
x = 4
Now we need to use x and apply it to find y.
y = 1/2x + 2
y = 1/2(4) + 2
y = 2 + 2
y = 4
Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.
You need to graph the point (4,4).
I hope this helps!
Answer:
see graph (4,4)
to manually graph just pick any two values for X in the first equation and calculate the corresponding Y value ... put a "dot" (a point on the graph)
do for both points , and draw al LINE between them...
repeat fore the second equation... the "solution" is where the two lines cross
Step-by-step explanation:
8 is added to the queintel of 36 divided by 4
Answer:
[tex](36 \div 4) + 8[/tex]
[tex]9 + 8[/tex]
[tex]17[/tex]
hope this will help youAnswer: 17
Step-by-step explanation:
36/4 = 9
9 + 8 = 17
Please help me find the area of this figure
Answer:
=51.63 m^2
Step-by-step explanation:
First find the area of the triangle
A = 1/2 bh = 1/2(3) * 5 = 7.5
Then find the area of the rectangle
A = l*w = 5*6 = 30
Then find the area of the semi circle, which is 1/2 the area of the circle
The diameter is 6 so the radius is 3
A = 1/2 pi r^2 = 1/2 (3.14) (3) ^2 = 14.13
Add the areas together for the total area
7.5+30+14.13
=51.63
Rewrite the expression in the form y^n. y^5/4 / y^1/4
Answer:
y^{n+4}
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{y^n *y^{\frac{5}{4} } }{y^{\frac{1}{4} } } =y^n*y^{\frac{5}{4} } \times y^{-\frac{1}{4} } =y^{n+\frac{5}{4} -\frac{1}{4} } \\=y^{n+\frac{5-1}{4} } \\=y^{n+\frac{4}{4} } \\=y^{n+1}[/tex]
hello, help needed...again. 35 points !!! please show work for both. thank you:)) due today.
Answer:
16 direct
17 indirect
Step-by-step explanation:
16.
If it is a direct variation
y/x = constant
4/-2 -2
-8/4 = -2
-12/6 = -2
This is a direct variation
17.
y/x = -1/2 /-2 = 1/4
y/x = -1/-1 = 1
This is not a direct variation
If it is an indirect variation then
yx = constant
-1/2 * -2 = 1
-1*-1 =1
3 * 1/3 =1
This is an indirect variation
y is the element of the set {1.5, 7.2, 3.4, 4.1, 8.9, .75} and 5Y ÷ 6 is an integer. What is the value of Y
Answer:
7.2
Step-by-step explanation:
5y = 5 *7.2 = 36
36 ÷ 6 = 6
So, y = 7.2
How many tacos could you buy with your money? If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?
Answer:
You can buy 40 tacos
You have enough money
Step-by-step explanation:
Given
[tex]Amount = \$20[/tex]
[tex]Taco = 20[/tex]
[tex]Unit\ Cost = \$0.50[/tex] --- missing from the question
Required
Determine if you have enough amount
The number of Tacos that $20 can afford is calculated as:
[tex]Tacos = \frac{Amount}{Unit\ Cost}[/tex]
So, we have:
[tex]Tacos = \frac{20}{0.50}[/tex]
[tex]Tacos = 40[/tex]
[tex]40 > 37[/tex] -- i.e. the number of Tacos will go round the 37 students
Hence, you have enough money
reduce
0.1 x squared - 8.1 x + 8 = 0 to
2x squared - x + 80 = 0
Answer:
x = 8
x = -10
Step-by-step explanation: