Answer:
1- Y=-7/2x+2.
2. Y=-6/4+7
Step-by-step explanation:
Subtract 7x from both sides
Divide both sides by two
Add 4y to both sides
Subtract 6x from both sides
Divide by 4 on both sides
Solve the system of linear equations by graphing.
y=-x+4.
y= 2x – 8
Step-by-step explanation:
suppose,x=1,2 .so y=1+4=5,2+4=6...eq..(I)
and y=2×1-8=-6,y=2*×2-8=-4
now plot in graph where they intercept with each other i.e x and y
I could plot but it's difficult here..and remember u can suppose any point as x for y
After solving the equations for x and y the value of x is 4 and the value of y is 0.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given equations in the question,
y = -x + 4 (i)
y = 2x - 8 (ii)
Solve the equation for x and then solve it for y as well,
-x + 4 = 2x - 8
-x -2x = -8 -4
-3x = -12
x = 4
Substitute this in equation (i)
y = -4 + 4
y = 0
Therefore, the points are (4, 0)
To know more about equations:
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What is the scale factor for the similar triangle?
Answer:
4
Step-by-step explanation:
Answer:
third option 1/4
Step-by-step explanation:
G is the bigger triangle with side lengths: 8, 8 and 4
F is the smaller triangle with side lengths: 2, 2 and 1
G to F:
8/x = 2
Rearrange and x would equal 1/4
4/x = 1
Rearrange and x would equal 1/4
Leo reads 10 pages in 1/3 hours What is the unit rate for pages per hour
Answer:
30 pages per hour
Step-by-step explanation:
Leo can read 10 pages in 20 minutes.
60 minutes in a hour
20 x 3 = 60
10 x 3 = 30
Frederick is training for a triathlon and wants to focus on swimming this week. He can swim 25 yards in 23 seconds. He set up a proportion to determine how long it would take him to swim 175 yards at this rate. Which proportions can be used to determine how long it would take him to swim 175 yards?
Answer:
161secsStep-by-step explanation:
If Frederick can swim 25 yards in 23 seconds, then:
25 yards = 23 seconds
To determine how long it will take him to swim 175yards, we will say:
175 yards = x
Equating both expression:
25 yards = 23 seconds
175 yards = x
Cross multiply
25x = 23*175
25x = 4025
Divide both sides by 25
25x/25 = 4025/25
x = 161 secs
This means that it will take Frederick 161 secs to swim 175 yards
PLEASE HELP ME!!
Which estimation technique will yield a solution that is the farthest from the actual product of (-14.89)(1.35)
A) front-end estimation
B) rounding to the nearest tenth
C) rounding to the nearest whole number
D) compatible numbers
Answer:
C sorry if im wrong
Step-by-step explanation:
its what i think
Answer:
A. front-end estimation.
Step-by-step explanation:
I got it right on the test. It'd be appreciated if this was marked as brainliest.
Which one?
A. B. C. or D?
Answer:
C
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
step-by-step explanation
plz plz plz help me quick i got 10 mins
Answer:
y=x+6
Step-by-step explanation:
the number 0.16 to 4 significant figures is?
Answer:
0.1600
Step-by-step explanation:
0.16 has 2 significant figures. To make it 4 significant figures, add two trailing zeros.
I need the answer real quick will someone help me
Answer for brainliest!
Answer:
-5, -6, -7, -8, -9, -10, -11
Step-by-step explanation:
Answer:
-12<x<-9/2Step-by-step explanation:
2x+9<o
x>-12
-12<x<-9/2x/3 + 5 = 6.8
The x/3 is a fraction! please I need an answer!!!
Answer:
x=5.4
Step-by-step explanation:
x/3+5=6.8
-5 -5
__________
x/3= 1.8
*3
________
x= 5.4
Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.
The perimeter is 44 in, and the length is 14 in.
The width of the rectangle is
in
Answer:
The width of the rectangle is 8in
Step-by-step explanation:
Given parameters:
Perimeter = 44in
Length = 14in
Unknown:
Width of the rectangle = ?
Solution:
The parameters given can be used to determine the unknown dimension;
Perimeter of a rectangle = 2 (L + W)
L is the length
W is the width
Input the parameters and solve;
44 = 2 (14 + W)
44 = 28 + 2W
2W = 16
W = 8in
The width of the rectangle is 8in
You are thinking of withdrawing all your funds; $45,000 from your 401 (k) at age 54. The normal tax rate for you would be 28%. The rules for withdrawing funds before the age of 59 1/2 is a 10% penalty. How much would you save if you waited until age 59 1/2?
Until the age of [tex]59.5[/tex] years, the amount saved from the withdrawal of funds is [tex]\$3,600.[/tex]
Used the concept of tax which states that,
A tax is an obligatory payment made by the taxpayer to the government in respect of the income earned in the previous year.
Given values:
Amount of funds: [tex]\$45,000[/tex]
Normal tax rate: [tex]20\%[/tex]
Penalty rate at [tex]59.5[/tex] years: [tex]10\%[/tex]
Step-1; Computation of after-tax amount paid at 54 years:
[tex]A_1= \text{Amount of funds} \times (1 - \text{Tax rate})[/tex]
[tex]= \$45,000 \times (1 - 0.2)[/tex]
[tex]= \$36,000[/tex]
Step-2; Computation of after-tax amount paid at 59.5 years:
[tex]A_2 = \text{Amount of funds} \times (1 - \text{Tax rate}) (1 - \text{Penalty rate})[/tex]
[tex]= \$45,000 \times (1 - 0.20) \times (1 - 0.10)[/tex]
[tex]= \$32,400[/tex]
Step-3; Computation of the amount saved;
[tex]\text{Amount saved} = A_1 - A_2\\= \$36,000 - \$32,400\\= \$3,600[/tex]
Therefore, the amount [tex]\$3,600.[/tex] was saved with the amount of [tex]\$36,000[/tex] paid-in [tex]54[/tex] years and the amount of [tex]\$32,400[/tex] paid-at [tex]59.5[/tex] years.
Learn more about taxes in the related link:
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11 is what percent of 41?
Answer: What do you mean?
Is this even correct question?
Answer:
4.51
Step-by-step explanation:
you have to divide
At Supercuts, it costs $8.96 for a kid's haircut and 6 times as much for a woman's hairstyling. Choose the answer that correctly completes the statement.
It would cost the 4 kids and mom of the Wilson family ____________ to get all of the kids' haircuts and the mom's hair styled.
Group of answer choices
89.60
896.00
8.96
69.80
Answer:
So the correct answer for that would be 89.6
$89.60
8.96 x 4 = 35.84 - The cost of the kids combined
8.96 x 6 = 53.76 - the cost of the mom
35.84 + 53.76 = 89.60
I will give you brainliest, if you provide an accurate explanation.
Please include a thoughtful answer.
If not, I WILL report you.
1. Find the sqrt(i) and see if there is anything interesting that comes up.
2. Prove that complex numbers are closed under addition, subtraction, division, and cube roots
Answer:
sqrt(i) =0.707106781 + 0.707106781 i
Most of the numbers we know, and work with, are Real Numbers. The Real Number System includes counting numbers, fractions, terminating decimals, positive numbers, negative numbers, zero, repeating decimals, never ending and non-repeating decimals, numbers that are expressed as radicals, and even pi (π).
The natural numbers are the set of counting numbers
• There are infinitely many numbers in a set of numbers.
• The natural numbers are "closed" under addition and multiplication.
The addition of two natural numbers creates another natural number.
The multiplication of two natural numbers creates another natural number.
closed under addition and multiplication.
BUT ...
The subtraction of two natural numbers does NOT necessarily create another natural number
The division of two natural numbers does NOT necessarily create another natural number
The whole numbers are the set of counting numbers (natural numbers) along with zero
• There are infinitely many numbers in this set of numbers.
• The set of whole numbers is "closed" under addition and multiplication.
Integers:
• The integers are the set of all of the natural numbers,
plus their additive inverses and zero
• The integers are "closed" under addition, multiplication and subtraction,
but NOT under division
Rational Numbers:
• The rational numbers are the set of numbers which can be expressed as a ratio
(a fraction) between two integers.
• Integers are rational numbers since 5 can be written as the fraction 5/1.
• Decimals which terminate are rational numbers.
• Decimals which have a repeating pattern are rational numbers. 1/3 = 0.3333333...
• The rational numbers are "closed" under addition, subtraction, and multiplication. Under division, we run into the problem of division by 0, which makes the statement that "the rationals are closed under division" false. Some texts state that "the rationals are closed under division as long as the division is not by zero" which is a true statement.
Irrational Numbers:
The irrational numbers are the set of number which can NOT be written as a ratio (fraction).
• Decimals which never end nor repeat are irrational numbers.
• Irrational numbers are "not closed" under addition, subtraction, multiplication or division.
• Examples of irrational numbers: rad2, π
This is figured out by first figuring out that:
√(√(i)) = [tex]i^{1/4\\}[/tex]
Let [tex]\sqrt{i}[/tex] be a + b[tex]i[/tex].
Square both sides to get [tex]i[/tex] = (a + b[tex]i[/tex])(a + b[tex]i[/tex])
So, [tex]i[/tex] = a² - b² + 2ab[tex]i[/tex]
a² - b² is the real part. The real part is 0.
0 + [tex]i[/tex] = a² - b² + 2ab[tex]i[/tex]
a² - b² = 0
[tex]i[/tex] = 2ab[tex]i[/tex]
2ab = 1
ab = 1/2
b = 1/2a
Now, since a² - b² = 0,
a² - (1/2a)² = 0
a² - 1/(4a²) = 0
[tex]\frac{(4a^{4}-1 )}{4a^{2} }[/tex] = 0
That means the numerator MUST be 0.
[tex](4a^{4}-1 )}[/tex] = 0
[tex]4a^{4}[/tex] = 1
[tex]a^{4}[/tex] = 1/4
a = ± [tex]\frac{1}{\sqrt{2} }[/tex]
if a = [tex]\frac{1}{\sqrt{2} }[/tex] , then b = [tex]\frac{1}{\sqrt{2} }[/tex]
If a = -[tex]\frac{1}{\sqrt{2} }[/tex] , then b = -[tex]\frac{1}{\sqrt{2} }[/tex]
So, it's either a = -[tex]\frac{1}{\sqrt{2} }[/tex] and b = -[tex]\frac{1}{\sqrt{2} }[/tex] , or a = [tex]\frac{1}{\sqrt{2} }[/tex] and b = [tex]\frac{1}{\sqrt{2} }[/tex]
That's why sqrt(i) =0.707106781 + 0.707106781i, or sqrt(i) = -0.707106781 - 0.707106781i
CMONNN I NEEDDDDD HELP !!!!
Answer:
My answer will be 3.
Step-by-step explanation:
Please help Math answers
Answer:
on example 1, both are right triangles.
Segment FB is graphed on the coordinate plane where Fis (- 7, - 4) and B is (5, 2) . If point A is graphed of the way from F to B , where is point A located ? 3/4 of the way from F to B, where is point A located?
Answer:
Step-by-step explanation:
7, 1
Use rounding to estimate the sum.
Estimate the sum.
78.9+71.2
Answer:
150
Step-by-step explanation:
add 79+ 71 because you rounded to get that number then add :)
150
When estimating you just round off the numbers so, 78.9 becomes 79 and 71.2 becomes 71 so, 79 + 71 = 150.
If CD = AB and AB = 8, then CD = 8
Answer:
sure
Step-by-step explanation:
Samual has a collection of 80 marbles. in the collection, 20% of the marbles are red and the rest are blue. which statement accurately describes Samuels marble collection
Answer:
16
Step-by-step explanation:
can someone please help me with this question
Answer:
60 in^3
Step-by-step explanation:
You just multiply the base by the height.
Answer:600
Step-by-step explanation: hope this helps you
Makinzee bikes 64.4 miles in 4 hours. What is her average rate of miles per hour?
Pls help
Answer:
16.1 mph is your rate
Step-by-step explanation:
Answer:
16.1 per hour
Step-by-step explanation:
just divide the mile by the hours.
64.4 / 4
Miss Owens plans to join golds gym there is a one time registration fee of $75 and a monthly charges $15 write an equation to represent the situation. Be sure to identify the slope and the Y intercept remember your equation must be in slope intercept form Make a table for three points
ANSWER: y=75x+15
Srry if I'm wrong
Answer:
i believe that the right equation is y = 15x + 75 lol
Step-by-step explanation:
so slope intercept form, y = mx + b, means that y is not known yet. in this problem, since we don't know how many months miss owens is planning on, we don't know the total. so, the total will be represented by y. next, like i said before, since it is unknown how many months she will be paying for, that can be represented by a variable too, x. so now we have y = 15x + b. and the last part of the equation would be 75, which replaces b. so, the final equation is y = 15x + 75. and the slope is 15, the y intercept is 75, and the x intercept is -5. :) hope this helps!
Can someone help me please
Answer:
its c
Step-by-step explanation:
took the testisk...........
U2 L5 Modeling Equations With Variables On Both Sides 1) Solve 5x−4 = 3x +8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group. 2) Solve −4x +7 = −7x−8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group.
Answer:
x = 6
x = -5
Step-by-step explanation:
Solving (1)
5x - 4 = 3x + 8
Bring variables to one side
5x - 3x = 8 + 4
The result is
2x = 12
Solve for x
½ * 2x = ½ * 12
x = 6
Solving (2)
-4x + 7 = -7x - 8
Bring variables to one side
7x - 4x = -7 - 8
The result is
3x = -15
Solve for x
⅓ * 3x = -15 * ⅓
x = -5
Convert 1/12 ft. To inches.
Answer:
1 inch
Step-by-step explanation:
There are 12 inches in 1 foot so 1/12 is 1 inch
1 foot = 12 inches
1/12 feet = 1 inch
HEP I WILL GIVE BRAINLIEST!!!
Answer:
dot 3
Step-by-step explanation:
The price of a television increased from $325 to $390. By what percentage was the price of the television increased?
Answer: 13.76 percent
Step-by-step explanation: