Answer:
(4, -2)
Step-by-step explanation:
Use the expression for y given by the first equation to substitute for y in the second equation.
2(2x -10) = x -8 . . . substitute for y
4x -20 = x -8 . . . . . eliminate parentheses
3x = 12 . . . . . . . . add 20-x
x = 4 . . . . . . . . .divide by 3
y = 2(4) -10 = -2 . . . substitute for x in the first equation
The solution is (x, y) = (4, -2).
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
We've been given to find out the values of x & y from the two given linear equations by substitution method.
Here we have,
y = 2x - 10 - - - - - (1) 2y = x - 8 - - - - - (2)As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,
[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]
[tex]:\implies\tt{4x - 20 = x - 8}[/tex]
[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]
[tex]:\implies\tt{3x = 12}[/tex]
[tex]:\implies\tt{x = \frac{12}{3} }[/tex]
[tex]:\implies\tt{x = 4}[/tex]
Placing x = 4 in equation (1) we get,
[tex]:\implies\tt{y = 2x - 10}[/tex]
[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]
[tex]:\implies\tt{y = 8 - 10}[/tex]
[tex]:\implies\tt{y = - 2}[/tex]
The solution of the given system for linear equation is (x,y) = (4,-2)please answer, thank you in advance to whoever does !!!!
Answer:
B
Step-by-step explanation:
Move it down 3 units, then rotate it.
2y-7.4y=141.36
solve for y
22.68 ÷ 14.65 ayuden pliss
Answer:
1.54
Step-by-step explanation:
a)
3
NIX 01/x
b
b)
=
= 8.5
Answer:
a = 8.5
Step-by-step explanation:
One week Culver earned $375.50 regular pay and $65.50 overtime pay. His net pay for the week was $230.90. How much did he have withheld for deductions?
Answer:
He had $210.1 after deductions.
Step-by-step explanation:
Add his regular pay and overtime pay together
$375.50 + $65.50 = $441
Now subtract his net pay from the total that he makes before deductions - with his overtime and regular pay.
$441 - $230.90 = $210.1
Can someone please help me with this one? Tysm!!
Answer:
-26
Step-by-step explanation:
well add the negative numbers first so you get
-17-18=(-35)
then you add 9 so its (-35)+9=26
Answer:
Step-by-step explanation:
-17 + 9 +(-18) = -8 -18 = -26 final answer
I need help with this
Answer:
5 + 5 = 10
10 + 10 = 20
20 + 20 = 40
40 + 40 = 80
80 is the answer.
Employee: "We have a promotion that will allow us to beat our competitors' prices and save you money. Did you notice that our competitor is selling that same item for $150.00?
Customer: "Yes"
Employee: "Our price for that item is $120.00, for a savings of __________."10% 15% 20% 30% 40%
Answer:
20%
Step-by-step explanation:
120 / 150 = 0.8 or 80%, so the difference is 20%
The discount percentage is 20%.
Given that the competitor is selling an item for $ 150.00, while the price for that item in the store is $ 120.00, the following calculation must be performed to determine the discount percentage:
150 = 100 120 = X 120 x 100/150 = X 80 = X 100 - 80 = X 20 = X
Therefore, the discount percentage is 20%.
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To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?
Answer:
1100
Step-by-step explanation:
because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100
Answer:
1,100
Step-by-step explanation:
What is the area of the figure?
Answer:
doc
Step-by-step explanation:
sdsc
5184 divided by 27
JUST ANSWER
Answer:
[tex]5184 \div 27 = 192[/tex]
Step-by-step explanation:
Hope this helps you !!Can someone help please !
Answer:
2
Step-by-step explanation:
[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].
Solve for the 4th root of 16.
16=4*4=(2*2)(2*2)=2
What is the equation of the line that passes through the point (-6, -6) and has a
slope of -1/3?
Answer:
Step-by-step explanation:
Let's find an equation by starting with the slope intercept form:
y = mx + b
where m is the slope and b the y-intercept (the value of y when x=0).
We are given the slope, so:
y = -(1/3)x + b
Now we need to find a value for b that will force the line to go through point (-6,-6). We can determine by putting the point (-6,-6) into the equation and solving for b:
y = -(1/3)x + b
-6 = -(1/3)(-6) + b [Enter the point (-6,-6]
-6 = 2 + b
b = - 8
The equation becomes y = -(1/3)x - 8.
See the attachment.
PLEASE HELP ME
7. (37:10) Kevin finds Buzz's life savings. If Buzz
had $47 and had been saving for 17 years, how
much could we expect him to save in 30 years?
Based on the information given, the amount that he'll be expected to save in 30 years will be $83.
From the question given, since Buzz had $47 and had been saving for 17 years, the amount saved per year will be:
= $47/17
= $2.7647
Therefore, the amount that'll be saved in 30 years will be:
= 30 × $2.7647
= $82.941
= $83
The amount saved will be $83.
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the probability of selecting a green ball from a bag is a 1 out of 8. If you select 3 balls, what is the probability of at least one of them being green?
Answer:
3/8
Step-by-step explanation:
simply multiply 1/8 by 3/1
3X1 is 3 and 8X1 is 8 so 3/8
Please help I only have an hour.
Answer:
Slope (m) = [tex]\frac{y}{x} = \frac{2}{3} = 0.66666666666667[/tex]
Step-by-step explanation:
[tex]0 = arctan (\frac{y}{x}) = 33.69006752598°[/tex]
X = 4 – 1 = 3
Y = 4 – 2 = 2
[tex]Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464[/tex]
Equation of the line:
y = 0.66666666666667x + 1.3333333333333
or
[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]
When x=0, y = 1.3333333333333
When y=0, x = -2
Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
What is the solution to this equation? 2 x + 3 = x − 4
The system of equations that can be used to determine the number of nickels and dimes is:
x + y = 468
0.05x + 0.01y = 34.40
Where:
x = number of nickels
y = number of dimes
The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.
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The width of the rectangle is 50% of its length. What is the area of the rectangle?
Answer:
area = length x half of length
Step-by-step explanation:
whatever the length of the rectangle is, replace it with 'length'
for example if the length was 6cm, it would be:
length x half of length = area
6cm x (6/2) = area
6cm x 3cm = area
18cm² = area
Solve for W
4w^2+9w= -2
Answer:
[tex]w_1=-\frac{1}{4},w_2=-2}[/tex]
Step-by-step explanation:
[tex]4w^2+9w=-2[/tex]
[tex]4w^2+9w+2=0[/tex]
[tex]w^2+9w+8=0[/tex]
[tex](w+1)(w+8)=0[/tex]
[tex](4w+1)(w+2)=0[/tex]
[tex]w_1=-\frac{1}{4},w_2=-2}[/tex]
In a sale, a clothes shop reduces its prices by 30%.
A shirt usually costs $24.
How much is it in the sale?
Answer:
$16.80
Step-by-step explanation:
30% of 24 and the answer is subtracted from $24
Find two numbers that round to 387.4 when rounded to the nearest tenth.
What is this 3(x+2)<4(x−2)
explain or show that the point (5,-4) is a solution to this system of equations
Answer:
You could substitute the point (5,-4) into each equation
Step-by-step explanation:
x=5 y=-4
3x-2y=23
3(5)-2(-4)=23
15+8=23
23=23
2x+y=6
2(5)+(-4)=6
10-4=6
6=6
The points go into each equation which proves that the point (5,-4) is the solution.
(i don't know if I did this right, I apologize if I didn't
Help me please ;-;
For the function y = 4x – 2, what is the value of the function when x is equal to -3?
A. -10
B. 14
C. -14
D. 10
Answer:
-14
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
y=4x - 2 x= -3
y=4(-3) - 2
y= -12 - 2
y= -14
Help me please ******
Answer:
it is
Step-by-step explanation:
The parallel horizontal sides are the same length, so the figure is a parallelogram.
Each week, the price of oranges at the farmer's market increases by 20%.
The price of oranges this week is $4.50.
What was the price last week?
Answer:
3.6? I don't really know
Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table shows the value of the real estate after the first and second years: Year 1 2 Value (in dollars) $104,271. 02 $107,399. 15 Which function best represents the value of the real estate after t years? f(t) = 101,234(1. 03)t f(t) = 101,234(0. 03)t f(t) = 104,271. 02(1. 03)t f(t) = 104,271. 02(0. 03)t.
The function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]
The table is represented as:
Years - Values
1 - $104,271. 02
2 - $107,399. 15
Appreciation and depreciation are often represented using exponential function as follows:
[tex]f(x) = ab^x[/tex]
At year 1, we have:
[tex]104271. 02 = ab^1[/tex]
[tex]104271. 02 = ab[/tex]
At year 2, we have:
[tex]107399. 15 = ab^2[/tex]
Divide both equations
[tex]\frac{107399.15}{104271.02} = \frac{ab^2}{ab}[/tex]
[tex]1.03 = b[/tex]
Rewrite as:
[tex]b = 1.03[/tex]
He bought the real estate for $101,234.
So, we have:
[tex]a = 101234\\[/tex]
Substitute values for (a) and (b) in [tex]f(x) = ab^x[/tex]
[tex]f(x) = 101234(1.03)^x[/tex]
Replace x with t
[tex]f(t) = 101234(1.03)^t[/tex]
Hence. the function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]
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x^2-x+2=0
Please use the quadratic formula
Answer:
[tex]\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}[/tex]
Step-by-step explanation:
[tex]\sf x^2-x+2=0[/tex]
Use quadratic formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\sf a=1, b=-1, c=2[/tex]
___________________________
[tex]\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}[/tex]
[tex]\sf \sqrt{\left(-1\right)^2-4\times \:1\times \:2}[/tex][tex]\sf =\sqrt{-7}[/tex]_________________
[tex]\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}[/tex]
[tex]\sf -(-1)=1[/tex][tex]2\times 1=2[/tex][tex]\sf x_1,_2=\cfrac{1\pm \sqrt{-7} }{2}[/tex]
_______________________________________
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The graph shows a nonstandard normal distribution curve with
a mean of 59.0 and a standard deviation of 6.7.
Find the area of the shaded region.
.7761
.2177
.3650
.7823
Using the normal distribution, it is found that the area of the shaded region is of 0.7823.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 59, hence [tex]\mu = 59[/tex].The standard deviation is of 7, hence [tex]\sigma = 7[/tex].The shaded region is the region to the left of 64.2, hence it's area is the p-value of Z when X = 64.2.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64.2 - 59}{6.7}[/tex]
[tex]Z = 0.7761[/tex]
[tex]Z = 0.7761[/tex] has a p-value of 0.7823.
The area of the shaded region is of 0.7823.
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Write the other side of this equation so it’s true for all values of x 1/2(6x - 10) - x=
Answer:
i think 1/2(6x-10)-x = 2x-5