Answer:
(-3/5, 29/5)
Step-by-step explanation:
Given the simultaneous equation;
-3x+4y=25...... 1
y= -3x+4 ..... 2
We are to confirm if (-3, 4) is the solution to the equations;
Substitute equation 2 into 1;
From 1;
-3x+4y=25
-3x + 4(-3x+4) = 25
-3x -12x + 16 = 25
-15x = 25 - 16
-15x = 9
x = -9/15
x = -3/5
Substitute x = -3/5 into equation 2 to get y;
From 2;
y= -3x+4
y = -3(-3/5)+4
y = 9/5 + 4
Find the LCM
y = (9+20)/5
y = 29/5
Hence the solution to the system of equation is (-3/5, 29/5) hereby falsifying Julie's solution.
In which pair of triangles is Triangle E F G is congruent to triangle R T S?
For triangles G E F and S R T, sides E G and S T are congruent, sides G F and S R are congruent, and sides E F and R T are congruent.
For triangles G F E and S T R, sides E G and T R are congruent, sides G F and T S are congruent, and sides E F and S R are congruent.
For triangles G F E and R S T, sides E G and R S are congruent, sides G F and R T are congruent, and sides E F and T S are congruent.
For triangles E G F and T S R, sides E G And S R are congruent, sides G F and S T are congruent, and sides E F and T R are congruent.
Answer:
Step-by-step explanation:Last pair of triangles represent congruence.
Step-by-step explanation:
If , it can be deducted the following:
Also,
Notice that the last imag shows the correct congruence, because it shows the congruence between sides as we said before.
Answer:
D
Step-by-step explanation:
I am doing the test
Rahul is going to an amusement park. The price of admission into the park is $15, and once he is inside the park, he will have to pay $4 for every ride he rides on. How much money would Rahul have to pay in total if he goes on 7 rides? How much would he have to pay if he goes on rr rides?
Using a linear function, the costs are given as follows:
7 rides: $43.r rides: 15 + 4r.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The admission fee is the intercept.The cost per ride is the slope.Hence the cost for r rides is given by the following linear function:
C(r) = 15 + 4r.
The cost for 7 rides is given by:
C(7) = 15 + 4(7) = 15 + 28 = $43.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Which number line represents the solution for the inequality |2p+3|>7
will give 20 points and brainliest
Answer:
Graph A
Step-by-step explanation:
Answer:
its graph A
Step-by-step explanation:
The length of a rectangle is 10 inches longer than its width. If the area of the rectangle is 144 square inches, what are its dimensions? Write an equation is standard form that can be used to find the dimensions.
Answer:
L= 18 in
W= 8 in
Step-by-step explanation:
Step one:
The length of a rectangle is 10 inches longer than its width
let the width be x
so the lenght is x+10
the area of the rectangle is 144 square inches
Step two:
[tex]Area= L*W\\\\144=x(x+10)\\\\144=x^2+10x\\\\x^2+10x-144=0[/tex]
the factors for the quadratic expression is
18 and -8
[tex]x^2+18x-8x-144=0\\\\x(x+18)-8(x+18)=0\\\\x-8=0\\\\x=8\\\\x+18=0\\\\x=-18[/tex]
the width is 8 in
the length is 8+10= 18 in
From the equation, the length is 18 inches and the width is 8 inches.
Let width = w
Since the length of a rectangle is 10 inches longer than its width, the length will be w+10.
Area = 144 inches²
Area = Length × Width
w(w + 10) = 144
w² + 10w = 144
w² + 18w - 8w - 144 = 0
w(w + 18) - 8(w + 18) = 0
(w - 8) = 0
w = 0 + 8 = 8
Length = w + 10 = 8 + 10 = 18
Learn more about equations on:
https://brainly.com/question/2972832
whats the midpoint? im pretty confused
Which relation is not a function?
PLEASE HELP DUE TODAYWhich of the following types of triangles have angles of equal measure?
Select one:
A. Scalene
B. Right
C. Equiangular
D. Isosceles
Answer:
Equaiangular
Step-by-step explanation:
think equal
Graph the linear inequality.
3x – 4y > 8
HELP ASAP
help need ASAP
agebra 1
Answer:
Your answer is D
Step-by-step explanation:
Let's solve your system by substitution.
y−2x=3;3x−2y=5
Rewrite equations:
−2x+y=3;3x−2y=5
Step: Solve−2x+y=3for y:
−2x+y=3
−2x+y+2x=3+2x(Add 2x to both sides)
y=2x+3
Step: Substitute2x+3foryin3x−2y=5:
3x−2y=5
3x−2(2x+3)=5
−x−6=5(Simplify both sides of the equation)
−x−6+6=5+6(Add 6 to both sides)
−x=11
−x
−1
=
11
−1
(Divide both sides by -1)
x=−11
Step: Substitute−11forxiny=2x+3:
y=2x+3
y=(2)(−11)+3
y=−19(Simplify both sides of the equation)
Answer:
x=−11 and y=−19
What is the decimal expansion of 3/11
Answer:
It is 300 + 10 + 1.
Step-by-step explanation:
Answer:
.27
Step-by-step explanation:
just divide 3/11
can someone help me? im not really good with slope
Answer:
Go to microsoft Calculator, and try to make diagrams, it's the easiest variant.
And by other way, use point as a y and make formula
[tex]x= \frac{y}{m} + b [/tex]
Let w =Vector O R where O(–5, 6) and R(4, –2). What is the component form of One-fifthw?
LeftAngleBracket negative 0.2, 0.8 RightAngleBracket
LeftAngleBracket negative 5, 20 RightAngleBracket
LeftAngleBracket 1.8, negative 1.6 RightAngleBracket
LeftAngleBracket 45, negative 40 RightAngleBracket
Answer:
C) (1.8, -1.6)
Step-by-step explanation:
1.
For the function f(x) =
8x + 10, find the inverse function.
O
x2 - 10
f-4x) =
-,X20
8
O
(x - 10)2
f-1(x) =
x2 10
8
f-1(x)
X2 + 10
8
,*20
x2 - 10
f-4(x) =
-, X30
8
Answer:
The inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]
Step-by-step explanation:
[tex]f(x)=8x+10[/tex]
We need to find inverse of the function.
For finding inverse of function,
let [tex]y=8x+10[/tex]
Now, solving to find value of x
Subtracting 10 on both sides
[tex]y-10=8x+10-10\\y-10=8x[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}=\frac{y-10}{8} \\x=\frac{y-10}{8}[/tex]
Now replace y with x and x with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)=\frac{x-10}{8}[/tex]
So, the inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]
Answer:
The answer is [tex]f^(-1)(x)= (x^(2) - 10)/(8), x > =0[/tex]
Put these 3 problems in order from least to greatest: (WILL GIVE BRAINLIEST)
-15.2, -15.9, 3.6, -3.6
-15.9, -15.2, -3.6, 3.6
2.03, -2.3, -2.03, 3.0
Which statement is NOT true about the absolute value of -6?
Answer:
2: it describes the distance between 6 and -6 on the number line.
Plz hurry will give 17 points and brainliest
What is 2/3 divided by 1/6?
2
3
4
6
Answer:
4
Step-by-step explanation:
Fiona is 7 years older than Gavin. Alex is 12 years younger than Gavin. If the total of their ages is 73, how old is the youngest of them?
the youngest of them is 42
i hope this was helpful:)
-3x-6y=6 y=x+8 infinite solution no solution one solution
Answer:
3x-6y=6
y=x+8
3x - 6(x+8) = 6
3x - 6x - 48 = 6
-3x - 48 = 6 / +48
-3x = 54 // -3
x = - 18
y = -18 +8 = 10
Step-by-step explanation:
2/5 of a number is what percentage of that number?
Answer:
40%Step-by-step explanation:
2×100%5divide 5 by 100 percen2×20=40% .this is my answerThe Spanish club raised $131.25 by having a garage sale and car wash. The amount raised at the car wash was half the amount raised at the garage sale. How much was raised at each event
Answer:
Car Wash: $43.75 and Garage Sale: $87.5
If Patrick was pushing directly downward on the rock with a force of 10 N. How much work did Patrick do? Show/explain your work.
Answer:
Patrick from spongebob? He dosent do work
Step-by-step explanation:
anyone know??? I’m not sure
9514 1404 393
Answer:
UW = 24
Step-by-step explanation:
Midsegment XY is half the length of base UW, so we can write ...
UW = 2·XY
73 -7x = 2(54 -6x) . . . . substitute the given expressions
73 -7x = 108 -12x . . . . . eliminate parentheses
5x = 35 . . . . . . . . . . . . . add 12x-73
x = 7 . . . . . . . . . . . . . . . divide by 5
Now, we can find UW:
UW = 73 -7x = 73 -7·7
UW = 24
e) 340 people participated in a conference. If the ratio of ladies and gentleman is
3:2, find the number of ladies and gentlemen in the conference.
Answer:
There were 204 ladies and 136 gentlemen in the conference
Step-by-step explanation:
Let's set the variables:
L = number of ladies in the conference
G = number of gentlemen in the conference
We know 340 people participated in the conference, thus:
L + G = 340 [1]
We are also given the ratio of ladies and gentleman as 3:2, thus:
L/G = 3/2
Cross-multiplying:
2L = 3G [2]
From [1]:
L = 340 - G
Substituting in [2]:
2(340 - G) = 3G
Operating:
680 - 2G = 3G
5G = 680
G = 680/5 = 136
G = 136
L = 340 - 136 = 204
L = 204
There were 204 ladies and 136 gentlemen in the conference
5x - 7 = 4
can u pleas e solve
Answer:
[tex]\frac{11}{5}[/tex]
Step-by-step explanation:
1. isolate x by adding 7 to the other side (7+4)
5x - 7 = 4
5x = 11
2. divide by 5 to get x alone
x = 11/5
Answer:
Step-by-step explanation:
5x - 7 = 4
5x=4+7
5x=11
x=11/5
x=2.2
Which function is negative for the interval [-1, 1)?
Answer:
madarchod
Step-by-step explanation:
randi bhosdike
CAN SOMEONE HELP PLS
what is 25 rounded to the hundreds place
Answer:
0
Step-by-step explanation:
because if the number is not higher than 50, you have to round down.
Jason is 10 years older than Alex. Mark is 11 years younger than Alex. If the total of their ages is 68, how old is the youngest of them?
Answer:
Mark is 12 years old.
Step-by-step explanation:
Let's just define some variables:
J = Jason
A = Alex
M = Mark
Next, let's put the information given in the question into equations.
Since Jason is 10 years older than Alex we can represent it like this:
J = A + 10
Since Mark is 11 years younger than Alex we can represent it like this:
M = A - 11
All of their ages add up to 68 so we can represent that like this:
J + A + M = 68
We can now do some substitutions to the J and M in this equation, like this:
(A + 10) + A + (A - 11) = 68
Combine like terms:
3A - 1 = 68
Solve for A
3A = 69
A = 23
Now that we found that Alex is 23 we can plug that back in to the first equations to find their ages:
J = 23 + 10
J = 33
M = 23 - 11
M = 12
Mark is the youngest out of the siblings being 12 years old.
Check:
23 + 33 + 12 = 68
68 = 68 :)
I hope this helps!!
- Kay :)
Plz help I will give brainliest
Answer:bc
Step-by-step explanation:
Alana buys 3 pounds of potatoes for $2.82. What is the unit
price of the potatoes?
A. $9.40 per pound
B. $8.46 per pound
C. $1.41 per pound
D. $0.94 per pound
Answer:
D. $0.94 per pound
Step-by-step explanation:
To find how much each potato costs, we have to do 2.82/3
This is equal to $0.94, so $0.94 per pound!
Check:
With each potato being $0.94 ( according to my calculations ), 3 potatoes should be $2.82. So, $0.94 * 3 should be equal to $2.82.
3 * 0.94 = 2.82 Correct!