Answer:
The solutions for both system of equations are as follows:
(5,2)(2,-1)Step-by-step explanation:
The first set of equations is:
[tex]4x+6y=32\\3x-6y=3\\[/tex]
It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations
So adding both equations, we get
[tex]4x+6y+3x-6y = 32+3\\7x = 35\\\frac{7x}{7} = \frac{35}{7}\\x = 5[/tex]
Putting x=5 in equation 1
[tex]4(5)+6y = 32\\20+6y = 32\\6y = 32-20\\6y = 12\\\frac{6y}{6} = \frac{12}{6}\\y = 2[/tex]
The solution is (5,2)
The second set of simultaneous equations is:
[tex]-3x+5y=-113x+7y=-1[/tex]
We can see that the coefficients of x in both equations are same in magnitude with opposite signs so
Adding both equations
[tex]-3x+5y+3x+7y = -11-1\\12y = -12\\\frac{12y}{12} = \frac{-12}{12}\\y = -1[/tex]
Putting y= -1 in first equation
[tex]-3x+5(-1)=-11\\-3x-5=-11\\-3x=-11+5\\-3x=-6\\\frac{-3x}{-3} = \frac{-6}{-3}\\x = 2[/tex]
The solution is: (2,-1)
Hence,
The solutions for both system of equations are as follows:
(5,2)(2,-1)Can someone solve the joke please?
Why did the new boy steal a chair from the classroom?
Answer:
Because the teacher told him to take a seat.
Answer:
Lol. Because the teacher told him to take a seat.
The price of a ski pass decreased by $3 per month over a 6-month period. What is the
total change during this period for the price of the pass?
Answer:
18 (a)
Step-by-step explanation:
but I hope it works
Example:
Brigette is putting a border around a scrapbook cover.
The cover is 12 inches tall and 14.5 inches wide. How
much border does Brigette need?
Answer:
53
Step-by-step explanation:
You need the perimeter, which is all sides added together
Answer:
53
Step-by-step explanation:
Perimeter= w+w+h+h
w=width
h=height
w=14.5
h=12
12+12=24
14.5+14.5=29
29+24=53
Find Missing side lengths
Answer:
On the side length of the triangle
Step-by-step explanation:
On the side length of the triangle
A company that makes hair care products at 9000 people try a new shampoo. Of the 9000 people, 18 had a mid allergic reaction. What percent of the people had a mid allergic reaction
Answer:
0.2% of the people had mid allergic reaction.
Step-by-step explanation:
Given that:
Number of people tested for a new shampoo = 9000
Number of people who had allergic reaction = 18
Percent of people = [tex]\frac{People\ who\ have\ reaction}{Total\ number}*100[/tex]
Percent of people = [tex]\frac{18}{9000}*100[/tex]
Percent of people = 0.002 * 100
Percent of people = 0.2%
Hence,
0.2% of the people had mid allergic reaction.
HELP ASAP! WILL MARK BRAINLIEST!!
Answer:
r = 6
Step-by-step explanation:
V(cyl) = π · r² · h
144π = π · r² · 4
144 = r² · 4
144 = r²
4
r = [tex]\sqrt{144}[/tex] ÷ [tex]\sqrt{4}[/tex]
r = 12/2
r = 6
which of the following is geometric sequence?
Answer:
Choice C
Step-by-step explanation:
A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.
Choice A:
[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]
Nope that's not what we're looking for.
Choice B:
[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]
This would be a perfect arithmetic sequence but not the type of sequence we are looking for.
Choice C:
[tex]6^{*3},18^{*3},54^{*3},162[/tex]
Yes! See how this one is multiplying by 3 and not adding or subtracting.
Choice D:
[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]
Nope this is not it either.
100 points! See pic attached. I will mark brainliest! I only want correct answers please. Random answers will be reported ! :)
Answer:
Parallel
Step-by-step explanation:
2x + 3y = 15
3y = -2x + 15
y = -2/3x + 5 (slope = -2/3)
4x + 6y = -48
6y = -4x - 48
y = -2/3x - 8 (slope = -2/3)
Since the slopes are the same, they are parallel.
Step-by-step explanation:
Hey there!
Given equations are;
2x+3y = 15...............(i)
4x+6y = -48…………(ii)
From eqaution (i)
2x+3y = 15
Slope (m1) = (-coefficient of x)/(coefficient of y)
Slope (m2) = (-2)/(3)
Therefore, slope (m1) = -2/3.
From eqaution (ii).
4x+6y= -48
Slope (m1) = (-coefficient of x)/(coefficient of y)
Slope (m2) = (-4)/6
Therefore, slope (m2) = -2/3.
Now;
Condition of parallel lines: m1=m2
-2/3 = -2/3
So, they are parallel.
Hope it helps....
If an 8 sided solid is rolled 180 times, how many times would you expect either a 3,5, or 7 to be rolled?
Answer:
no
Step-by-step explanation:
16
17
25
31
25
31
Age of First - Time Fathers
19 20 21 21
26 27 27 28
33
34 35
36
19
26
32
22
29
37
23
29
38
24
30
39
Answer:
whats this supposed to be?
Step-by-step explanation:
HELP ASAP
1.Which number or symbol is a variable in the following algebraic expression?
5 + 4y x 32
a 5
b 4
c y
d 2
2.Convert the following word phrase to an algebraic expression:
9 less than a number.
a x - 9
b 9 -x
c 9 ÷ x
d x ÷ 9
Answer: 1.C 2.B
Step-by-step explanation:
Simplified to create an equivalent expression
(2+2w)•4+9(w+3)=
Answer:
17 w + 35
Step-by-step explanation:
You get this answer by using PEMDAS.
I need this ASAP please!
8x^3 − 125y^3/(2x + 5y)3 ÷ 4x^2 + 10xy + 25y^2/4x^2 + 20xy + 25y^2
To divide by a fraction, multiply by its reciprocal.
8x^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Simplify the numerator.
Rewrite 8x^3 as (2x)^3.
(2x)^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite 125y^3 as (5y)^3.
(2x)^3 − (5y)^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Since both terms are perfect cubes, factor using the difference of cubes formula,
a^3 − b^3 = (a − b) (a^2 + ab + b^2) where a = 2x and b = 5y.
(2x − (5y)) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Multiply 5 by −1.
(2x − 5y) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Apply the product rule to 2x.
(2x − 5y) (22x^2 + 2x (5y) + (5y)^2)/(2x + 5y)3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y2
Raise 2 to the power of 2.
(2x − 5y) (4x^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite using the commutative property of multiplication.
(2x − 5y) (4x^2 + 2 ⋅ 5xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Multiply 2 by 5.
(2x − 5y) (4x^2 + 10xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Apply the product rule to 5y.
(2x − 5y) (4x^2 + 10xy + 52y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Raise 5 to the power of 2.
(2x − 5y) (4x^2 + 10xy + 25y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Cancel the common factor of 4x^2 + 10xy + 25y^2.
((2x − 5y)/(2x + 5y)^3) (4x^2 + 20xy + 25y^2)
Multiply
(2x − 5y) (4x^2 + 20xy + 25y^2)/ (2x + 5y)^3
Factor using the perfect square rule.
Rewrite 4x^2 as (2x)^2.
(2x − 5y) ((2x)^2 + 20xy + 25y^2)/ (2x + 5y)^3
Rewrite 25y^2 as (5y)^2.
(2x − 5y) ((2x)^2 + 20xy + (5y)^2)/ (2x + 5y)^3
Check that the middle term is two times the product of the numbers being squared in the first
term and third term.
20xy = 2 ⋅ (2x) ⋅ (5y)
Rewrite the polynomial.
(2x − 5y) ((2x)2 + 2 ⋅ (2x) ⋅ (5y) + (5y)2)/(2x + 5y)^3
Factor using the perfect square trinomial rule a^2 + 2ab + b^2 = (a + b)^2, where a = 2x and b = 5y.
(2x − 5y) (2x + 5y)^2/ (2x + 5y)^3
Cancel the common factor of (2x + 5y)^2 and (2x + 5y)^3.
Factor (2x + 5y)^2 out of (2x − 5y) (2x + 5y)^2.
(2x + 5y)^2 (2x − 5y) / (2x + 5y)^3
Cancel the common factors.
2x − 5y / 2x + 5y
Answer:
This may be wrong but: (2x - 5y) ((2x)^2 + 10xy + (5y)^2) over (2x + 5y) (4x^2 + 10xy + 25y^2)
Step-by-step explanation:
16/x = 2/7 cross multiplication
Answer:
x=56
Step-by-step explanation:
16 x 7= x * 2
[tex]x=\frac{16 x7}{2}[/tex]
x=56
Hope this helps :)
PLEASE answer as soon as you can! First correct answer will get BRAINLIEST!!! :)
Answer:
(x-3)(x-5)
Step-by-step explanation:
Answer:
x = 3 or x= 5
Step-by-step explanation:
Δ = (-8)² - 4×15
= 64- 60
=4
and 4≥0
so x = (8 - √4 )÷2 = 3
or x= (8 + √4 )÷2 = 5
so P(x) = (x-3) (x-5)
find each missing measure find GF and m
i think its 50 im not completley for sure though
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.
Complete question
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.
What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)
Answer:
[tex]\frac{dx}{dt}=11.94m/min[/tex]
Step-by-step explanation:
From the question we are told that
Slant height [tex]z=29m[/tex]
Change in Vertical height [tex]\triangle y=7m/s[/tex]
Horizontal length [tex]x=21[/tex]
Generally in finding the distance form the top to the bottom of the wall it is mathematically given by
[tex]x^2+y^2=z^2[/tex]
[tex]21^2+y^2=29^2[/tex]
[tex]y^2=29^2+21^2[/tex]
[tex]y=35.81[/tex]
Generally solving for the differential equation is mathematically represented as
[tex]x^2+y^2=29^2[/tex]
[tex]2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0[/tex]
[tex]x*\frac{dx}{dt} +y*\frac{dy}{dt} =0[/tex]
[tex](21)*\frac{dx}{dt} +(35.81)*(-7) =0[/tex]
[tex](21)*\frac{dx}{dt} -250.64 =0[/tex]
[tex]\frac{dx}{dt}=\frac{250.64}{21}[/tex]
[tex]\frac{dx}{dt}=11.94m/min[/tex]
The rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute.
Let us consider that distance between the top of the ladder and the ground is x meter and distance between the bottom of the ladder and the wall is y meter.
So, A right angle triangle is formed.
Since, the bottom of the ladder is 21 meters from the wall.
So, [tex]y=21[/tex]
Applying Pythagoras theorem,
[tex]x^{2} +y^{2}=(29)^{2} \\\\x^{2} +(21)^{2}=(29)^{2} \\\\\\x^{2} =841-441=400\\\\x=\sqrt{400} =20[/tex]
Given that, the distance between the top of the ladder and the ground is decreasing at 7 meters per minute.
[tex]\frac{dx}{dt}=-7meter/min[/tex]
Differentiate below equation with respect to time.
[tex]x^{2} +y^{2}=(29)^{2} \\\\2x\frac{dx}{dt}+2y\frac{dy}{dt}=0 \\\\2(20)(-7)+2(21)\frac{dy}{dt}=0\\\\\frac{dy}{dt}=\frac{280}{42}=6.67meter/min.[/tex]
Thus, the rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute.
Learn more about Differentiation here:
https://brainly.com/question/14023950
Use a quadratic equation to find two real numbers with a sum of -43 and a product of 306.
Answer:
Real numbers = 39 and 9
Step-by-step explanation:
The standard form of a quadratic equation is ax² + bx + c = 0
Given the following data;
a = 1
b = -43
c = 306
Quadratic equation formula is;
[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]
Substituting into the equation, we have;
[tex] x = \frac {-(-43) \; \pm \sqrt {43^{2} - 4*1*306}}{2*1} [/tex]
[tex] x = \frac {43 \pm \sqrt {1849 - 1224}}{2} [/tex]
[tex] x = \frac {43 \pm \sqrt {625}}{2} [/tex]
[tex] x = \frac {43 \pm 25}{2} [/tex]
[tex] x_{1} = \frac {43 + 25}{2} [/tex]
[tex] x_{1} = \frac {68}{2} [/tex]
[tex] x_{1} = 39 [/tex]
[tex] x_{2} = \frac {43 - 25}{2} [/tex]
[tex] x_{2} = \frac {18}{2} [/tex]
[tex] x_{2} = 9 [/tex]
Therefore, the two real numbers are 39 and 9.
The quadratic equation now becomes;
x² - 43x + 306 = (x - 39)(x - 9) = 0
PLEASE HELP ASAP I need major help, please. Helps me will get 44 points please I am willing to give this many away because I really need this help please don't just put something random for points.
You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
check stub
The amount for GROSS EARNINGS for this pay period was $
Hey there!
The answer to your question is $240.87
First we need to find how much he earned:
9.75 x 30
292.50
Now, we find the amount of all the deductions:
292.50(0.1 + 0.062 + 0.0145)
51.63
Now, we take this off the total pay:
292.50 - 51.63
240.87
The amount of pay after deductions was 240.87
Hope it helps and have an amazing day!
Answer:
$243.34425 round it up to the nearest 100th place
Step-by-step explanation:
9.75*30
=$295.5
=$295.5*10/100
for Federal income tax is $29.55
$295.5*6.2/100
Social Security tax $18.321 round it up $18/32
$295.5*1.45/100
Medicare tax is $4.28475 round it up to the nearest 100ths place $4.28
add all of them
$29.55+$18.321+4.28475= $52.15575 round it up = $52.16
sutract the amount you got paid
$295.5-$52.16=$243.34425
or you could have done
add all the %
10+6.2+1.45=17.65*295.5/100
=52.15575
hope it helped
Find the slope and the y intercept please help what do I do
Answer:
Slope: -7
y-intercept: (0,12)
Answer:
here give my friend the brainliest ^^;
Step-by-step explanation:
Can someone please help me with these quadratic formula word problems. I'll give the best answer the brainiest and 25 points.
Answer:
6.C10.BMARK ME AS BRAINLY#Carry On LearningAnswer the following. a) Find h b) Find x
Answer:
a) h = 15
b) x = 4
Step-by-step explanation:
a) set up a proportion:
5 = h
8 24
cross-multiply:
8h = 120
h = 15
b) x + 5 = x + 5 + 15
5x + 1 5x + 1 + 35
cross-multiply:
(x + 5)(5x + 36) = (5x + 1)(x + 20)
5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20
180 = 40x + 20
160 = 40x
x = 4
categorize the graph as linear increasing linearly decreasing exponential growth or exponential...
Answer:
Choice C
Step-by-step explanation:
The line is a linear line because it's straight exponential lines are more like an arch.
Next the line is increasing because it's going up not down if it was down it would be decreasing.
C) Linear increasing is the category of the graph.
The line is a linear line because its straight exponential lines are more like an arch. Next, the line is increasing because it's going up not down if it was down it would be decreasing.
What is a linear increase in a graph?If a linear graph is growing then its gradient is superb, for the reason that while x will increase by using 1, y adjustments through an advantageous quantity. If a linear graph is lowering, the gradient is a terrible range.
The key difference between linear and exponential increases is the slope of the curves (this is, the rate of an exchange over the years). A linear boom function has an advantageous constant slope, while an exponential increase feature has a high-quality slope that is continually growing.
Despite the fact that you're probably really familiar with growth, any increase that reasons the output Y to be larger than the enter X is known as a non-linear boom. In standard, the outputs of human interest grow in a non-linear style.
Learn more about Linear increasing here: https://brainly.com/question/4025726
#SPJ2
5m+3m
simplify expression
Answer:
=8m
Step-by-step explanation:
=5m+3m
=m+m+m+m+m+m+m+m
=8m
Answer:
8m
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
5m + 3m
Step 2: Simplify
Combine like terms: 8m4g2 (-g)3 = -4g5
True
False
Answer:
true for sure it \s pretty easy to do but hard to explain
Answer:
the answer is false I think
Aimee noticed her plant grew Two-thirds of an inch every week since it sprouted. She created this graph to show its growth.
On a coordinate plane, a graph titled Plant Growth has Weeks Since Sprouting on the x-axis and Height (inches) on the y-axis. Points (3, 2) and (6, 4) are plotted.
Which statement about Aimee’s graph is true?
Aimee’s graph is correct because the ratio Two-thirds is to 1 is equal to 2:3, which her graph shows in each point.
Aimee’s graph is incorrect because the ratio Two-thirds is to 1 is equal to 3:2, so she should have switched her points.
Aimee’s graph is correct because it shows 3 inches of plant growth every two weeks.
Aimee’s graph is incorrect because it shows 2 inches of plant growth with each point instead of Two-thirds of an inch.
Answer:
It's C
Step-by-step explanation:
I got a 100% on edge, have a delightful day Chicos y chicas!
Answer: A
Step-by-step explanation:
Help please!!!!!!!!!
Answer:
440 square inches
Step-by-step explanation:
5 x 8 x 11 = 440
answer for brainlist due in 30 mins
Answer: y=-4x+9
Step-by-step explanation:
m= -4
b=9
Answer:
the slope is 4
y-intercept is -2
and the equation is
y=4x -2
Write the slope in slop intercept form of the line that has a slope of m=2 and goes through thr point. (-3,-5)
answers:
A. y=2x+5
B: y=2x+1
C: =y=2x-1
D: y=3x-2
Answer:
B. y = 2x + 1
Step-by-step explanation:
Substitute the information into the point-slope form equation.
y - y₁ = m(x - x₁)
y - (-5) = 2(x - (-3)
y + 5 = 2(x + 3)
y + 5 = 2x + 6
y = 2x + 1
Answer:
c!
Step-by-step explanation:
I NEED HELP FAST I WILL GIVE ALL MY POINTS
WHAT IS 3 DIVIDED BY 1/2
PLS HELP!!!!!!!!!!!!!!!!!