Hello!
[tex]\large\boxed{x = 2}[/tex]
Set the two equations equal to each other to solve:
y = -4x + 11
y = 1/2x + 2
-4x + 11 = 1/2x + 2
Add 4x to both sides:
-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***
11 = 9/2x + 2
Subtract 2 from both sides:
11 - 2 = 9/2x + 2 - 2
9 = 9/2x
Divide both sides by 9/2:
9 * (2/9) = 9/2x * (2/9)
x = 2.
PLEASE HELP!! REALLY URGENT!!
Answer:
it's the first option
Step-by-step explanation:
Lucia invests $5000 at a rate of 4.5% per year compound interest. Calculate the value of her investment at the end of 7 years.
The value of her investment at the end of 7 years is $11804
How to determine the value?The given parameters are
Principal, P = $5000
Rate, r = 4.5%
Time, t = 7 years
The value is then calculated as:
Value = P * P(1 + r)^t
So, we have:
Value = 5000 + 5000 * (1 + 4.5%)^7
Evaluate the expression
Value = 11804
Hence, the value of her investment at the end of 7 years is $11804
Read more about compound interest at:
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If n ∥ m, which of the following statements are true? Select all that apply.
Answer:
c
Step-by-step explanation:
becuase 20+60 is 80
Solve the simultaneous equations
5x-y=5
2y-x²=11
YOU MUST SHOW YOUR WORKING
Answer:
Correct Equations:-[tex]\sf 5x-y=5 \\ \sf 2y-x=11 [/tex]
solution:-[tex]\sf 5x-y=5\dots\dots(1)[/tex]
[tex]\sf -x+2y=11 \dots\dots (2)[/tex]
We use elimination method By multiplying eq (1) by 2 and eq (2) by 1 we get[tex]{:}\longrightarrow[/tex][tex]\sf 10x-2y=5\dots\dots(3)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -x+2y=11\dots\dots (4)[/tex]
______________________Add eq (3) and eq (4)[tex]{:}\longrightarrow[/tex][tex]\sf 4x=16 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {16}{4}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=4 [/tex]
Substitute the value in eq (2)[tex]{:}\longrightarrow[/tex][tex]\sf -4+2y=11[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2y=11+4 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2y=15 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {15}{2}}[/tex]
[tex]\therefore[/tex][tex]\sf (x,y)=(4,{\dfrac {5}{2}})[/tex]
Answer:
(3, 10 ) and (7, 30 )
Step-by-step explanation:
Given the 2 equations
5x - y = 5 → (1)
2y - x² = 11 → (2)
Rearrange (1) expressing y in terms of x
y = 5x - 5 → (3)
Substitute y = 5x - 5 into (2)
2(5x - 5) - x² = 11
10x - 10 - x² = 11 ← rearrange into standard form
x² - 10x + 21 = 0 ← in standard form
(x - 3)(x - 7) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 7 = 0 ⇒ x = 7
Substitute these values into (3) for corresponding values of y
x = 3 → y = 5(3) - 5 = 15 - 5 = 10 ⇒ (3, 10 )
x = 7 → y = 5(7) - 5 = 35 - 5 = 30 ⇒ (7, 30 )
Two lines, A and B, are represented by the equations given below!
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
A. (-3,-5), because the point satisfies ONE of the equations
B. (-3,-5), because the point lies between the two axes
C. (-4,-8), because the point satisfies BOTH equations
D. (-4,-8), because the point does not lie on any axis
Answer:
The solutions to the system of equations are:
[tex]y=-8,\:x=-4[/tex]
Thus, option C is true because the point satisfies BOTH equations.
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}[/tex]
[tex]y-3x=4[/tex]
[tex]-[/tex]
[tex]\underline{y-x=-4}[/tex]
[tex]-2x=8[/tex]
[tex]\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}[/tex]
solve for x
[tex]-2x=8[/tex]
Divide both sides by -2
[tex]\frac{-2x}{-2}=\frac{8}{-2}[/tex]
[tex]x=-4[/tex]
[tex]\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4[/tex]
[tex]y-\left(-4\right)=-4[/tex]
[tex]y+4=-4[/tex]
[tex]y=-8[/tex]
The solutions to the system of equations are:
[tex]y=-8,\:x=-4[/tex]
Thus, option C is true because the point satisfies BOTH equations.
After accelerating for 20 seconds, a DeLorean sports car has a wide range of speeds that it can achieve, depending on traction. The distribution of speed follows an approximately normal distribution with a mean of 80 mph and a standard deviation of 7 mph. What percentage of the trials will give the DeLorean a speed between 66 mph and 87 mph?
Answer:
81.859%
Step-by-step explanation:
We solve the question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 80 mph
σ is the population standard deviation = 7 mph
For x = 66 mph
z = 66 - 80/7
z = -2
Probability value from Z-Table:
P(x = 66) = 0.02275
For x = 87 mph
z = 87 - 80/7
z = 1
Probabilith value from Z-Table:
P(x = 87) = 0.84134
The probability of the trials will give the DeLorean a speed between 66 mph and 87 mph is calculated as:
P(x = 87 mph) - P(x = 66 mph)
0.84134 - 0.02275
= 0.81859
The percentage of the trials will give the DeLorean a speed between 66 mph and 87 mph?
100 × 0.81859
81.859%
What number is missing in this equation?
(-8.7) • (-10) = ?
18.7
-18.7
87
-87
Answer:
C. 87Step-by-step explanation:
(-8.7) • (-10) = 8.7 • 10 = 87Correct option is C
Answer:
87
Step-by-step explanation:
Los ingresos de una familia son el sueldo del padre de $ 560.400 y el aporte del hijo mayor de $280.600. El 34% de estos ingresos se destinan al pago del arriendo de la casa y el 50% de lo restante corresponde al costo de la alimentación de la familia.
1.- ¿Cuánto gasta esta familia en alimentación?
2.- ¿Qué porcentaje de los ingresos corresponden a los gastos de alimentación?
Answer:
ITS SPANISH ENGLSIH PLEZ
Step-by-step explanation:
Does it matter what order you add integers?
Answer:
Yes!
Step-by-step explanation:
If not people won't understand the concept of the problem you are working on. Hope this helps please reward me brainlist!!!
Answer:
it depends with what you are doing or using them for
It depends with what you are doing with them
Happy Thanksgiving!
2^9x6^3=
Answer:
offFfffff ^^3
Step-by-step explanation:
TYSMMMMM!!!!!!!;-;
amy is 3 years older than beth and five years younger thrn jo. if beth is b years, how old is jo, in terms of b.
Which expression is equivalent to (x^2/3)^3/2?
Answer:
x
Step-by-step explanation:
[tex] \frac{2}{ x3} \times \frac{3}{2} \\ \frac{1}{3} \times 3 \\ \frac{1}{ x3 } \times 3 \\ {x}^{1} \\ x[/tex]
write an equation in slope-intercept form for the line with slope -3/5 and y-intercept -2. :))
Answer:
Step-by-step explanation:
Given m=-3/5 ; c = -2
y =mx + c
y= (-3/5)x -2
Which one of these words describe mirror image
A.Translation
B.Dialation
C.Reflection
D.Rotation
Reflection. A reflection is what appears to be the same distance from the other side of the mirror.
Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 3 loaves of
banana bread.Andre will follow the same recipe but only wants to make one loaf of
bread. How much flour will Andre use?
Answer:
2 1/2 cups of flour
Step-by-step explanation:
Priya is making 3 loaves of bread, so she will use 7 1/2 cups of flour.
Andre is making 1 loaf of bread, which is 1/3 the amount of loaves Priya is making. So, he will be using 1/3 the amount of flour Priya is using. So all we have to do is take 7 1/2 and divide it by 3:
7.5/3 = 2.5
Andre will use 2 1/2 cups of flour.
What is the value of g(-4)?
The value of g(-4) is 1. The correct option is C
What is a Piece-Wise Function?A function that has a different sub-function for different intervals of the domain is called Piece-Wise Function
The functions for the different interval is
g(x)= [tex]\rm \sqrt[3]{x+5}[/tex] , x ≤ -4
= -x² +11 , x > -4
The value of g(-4) will be determined by using g(x)= [tex]\rm \sqrt[3]{x+5}[/tex]
Substituting the value x = -4
g(x) = [tex]\rm \sqrt[3]{-4+5}[/tex]
g(x) = ∛1
g(x) = 1
Therefore, The value of g(-4) is 1. The correct option is C
To know more about piece-wise function
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13/10 start fraction, 13, divided by, 10, end fraction of a number is what percentage of that number?
Answer:
1.3??
Step-by-step explanation:
Answer:
130%
Step-by-step explanation:
Let x be the unknown number.
of the unknown number = [tex]\frac{13}{10}[/tex] [tex]x^{}[/tex]= 1.3x
We need to find the [tex]\frac{13}{10}[/tex] of a number is what percent of that number.
%=[tex]\frac{new value}{Inital Value}[/tex] x 100
Substitute 1.3x for new value and x for initial value in the above formula.
%=[tex]\frac{1.3x}{x}[/tex]x 100
Cancel out the common factors.
%= 1.3 x 100
%= 130
Therefore, [tex]\frac{13}{10}[/tex] of a number is 130% of that number.
Can somebody help me in this question? It would be very appreciated! :)
Answer:
see explanation
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = width × length
let width be w then length is 2w + 3 ( 3 more than twice the width ), then
A = w(2w + 3) ← distribute
= 2w² + 3w
When w = 4 , then
A = 2(4)² + 3(4)
= 2(16) + 12
= 32 + 12
= 44 ft²
Please tell me the answer
Answer: Its D
Step-by-step explanation:
negative is down and left positive is up and right
Jody's older brother is only three years less than twice Jody's age. If the sum of their ages is 30, write an equation (do not solve) to find the age of Jody's brother.
Answer:
y = 2x-3
Step-by-step explanation:
Twice the age means 2x
three less means -3
2x -3 = y
y = 2x -3
Brainliest appreciated!
Which expression is undefined
Answer:
A
Step-by-step explanation:
Any rational expression where the denominator is zero is undefined.
The only expression where the denominator is zero is A [tex]\frac{7}{0}[/tex]
Please help!
Find all the missing angles ??
Answer:
A 62°
B 118°
C 62°
D 118°
E 50°
F 58°
G 120°
H 120°
I 120°
J 60°
K 60°
L 60°
M 120°
N 120°
O
P 60°
Q 35.5°
R 49°
S 35.5°
T 109°
U 71°
V 109°
W 60°
write down the cordinates of the point where the line with the equation is y=3x-5 crosses the y axis
Answer:
(0, -5)
Step-by-step explanation:
The answer is in the equation you gave for the line. In the formula for the equation of a line, y = mx + b, b is the y-intercept, and since because the y-intercept is shown in a graph in the form of (0,b), the answer is (0, -5).
If m = 50, what is the value of the expression below?
0.44m + 23
A. 22
B. 45
C. 67
D. 117
SHOW YOUR WORK PLZSSSSSSSS
Answer:
B. is your answer dear
Step-by-step explanation:
0.44*50+23
22+23 = 45
hope you got it.
just look at the picture
Answer:
80 and 9 in that order.
Step-by-step explanation:
lol help please! y=?x+?
Answer:
y= 1/2x + -3
Step-by-step explanation:
it starts at -3, and climbs by 1/2 points every time. (remember, 1/2 can be read as rise/run. Rise one, run 2)
M is the midpoint of AB and MB=50
Answer:
What we have to find?
.....
4x + 1 = 2x-5 HELP QUICKKKKKKKKKKKKKKK
Answer:
4x_2x=_5_1
2x=_6
2x/2=_6/2
X=_3
Answer:
x = - 3
Step-by-step explanation:
Given
4x + 1 = 2x - 5 ( subtract 2x from both sides )
2x + 1 = - 5 ( subtract 1 from both sides )
2x = - 6 ( divide both sides by 2 )
x = - 3
Question 25
2 pts
Seth's father is thinking of buying his son a summer movie pass for $30 dollars.
With the pass, matinees cost $3 each. Without the pass each movie is normally
$8. If Seth plans to go to 30 movies this summer how much money would he
save? ONLY PUT THE NUMBER, NO DOLLAR SIGN.
Answer:
120
Step-by-step explanation:
First, you have to calculate the money that Seth would spent if he goes to 30 movies if his father gets the summer movie pass by adding up the cost of the pass plus the result of multiplying the cost per movie with the pass for the number of movies:
30+(3*30)=30+90=120
Second, you need to calculate the money that Seth would spent if he goes to 30 movies without the pass by multiplying the normal price per movie for the number of movies:
8*30=240
Third, you need to find the difference between both costs:
240-120=120
According to this, the answer is that if Seth plans to go to 30 movies this summer, he would save 120.
What is the solution to this equation?
–0.2(x – 20) = 44 – x
Answer: x=50
Step-by-step explanation:
Use the distributive property to multiply -0.2 by x-20.
-0.2x+4=44-x
Add x to both sides.
-0.2x+4+x=44
Combine -0.2x and x to get 0.8x.
0.8x+4=44
Subtract 4 from both sides.
0.8x=44-4
Subtract 4 from 44 to get 40.
0.8x=40
Divide both sides by 0.8.
x=40/0.8
Expand 40/0.8 approx 50 by multiplying both numerator and the denominator by 10.
X=400/8
Divide 400 by 8 to get 50.
x=50