Answer:
In this case, the idea is that you have to create something that makes both the right side of the equation and the left side to be equal to each other which gives you an infinite number of solutions. so if you have 5x-8 on the left, you need 5x-8 on the right for everything to cancel and end up with 0=0.
Step-by-step explanation:
Answer: You can start with any statement in the form a = a. Then add the same variable term to both sides, and add the same constant term to both sides. Combine like terms on each side.
Step-by-step explanation:
What is the answer for number 7
Answer:
x = -35
Step-by-step explanation:
add 3 to both sides.
[tex]\frac{2}{5}[/tex]x - 3 + 3 = -17 + 3
[tex]\frac{2}{5}[/tex]x = -14
multiply both sides by [tex]\frac{5}{2}[/tex].
([tex]\frac{5}{2}[/tex]) · ([tex]\frac{2}{5}[/tex]x) = ([tex]\frac{5}{2}[/tex]) · (-14)
x = -35
An integer is 15 more than 2 times another. If the product of the two integers is -27, then find the integers
Answer:
The required integers are x=3 and y= -9
Step-by-step explanation:
Let one the integers be x and y
An integer is 15 more than 2 times another: x=15+2y
product of the two integers is -27: x*y=27
[tex]x=15+2y ---eq(1)\\x*y=-27----eq(2)[/tex]
Solving both equations to find values of x and y
Putting value of x from equation 1 in equation 2
[tex](15+2y)*y=-27\\15y+2y^2=-27\\Rearranging:\\2y^2+15y-27=0[/tex]
This can be solved using quadratic formula:
[tex]$y=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Putting values and finding factors
[tex]$y=\frac{-(15)\pm\sqrt{(15)^2-4(2)(-27)}}{2(2)}$\\$y=\frac{-(15)\pm\sqrt{225+216}}{4}$\\$y=\frac{-(15)\pm\sqrt{441}}{4}$\\$y=\frac{-(15)\pm21}{4}$\\$y=\frac{-(15)+21}{4} \ or \ y=\frac{-(15)-21}{4}$\\$y=\frac{6}{4} \ or \ y=\frac{-36}{4}$\\$y=\frac{3}{2} \ or \ y=-9$[/tex]
Since y is integer so, we consider only y= -9
The value of x will be:
[tex]x*y=-27\\x*(-9)=-27\\x=\frac{-27}{-9} \\x=3[/tex]
So, the value of x is x=3
The required integers are x=3 and y= -9
Work out (7×10^5) ÷ (2×10^2)
Give
your answer in standard form.
Answer:
3.5 X 10^3
Step-by-step explanation:
An airplane travels 5152 kilometers against the wind in 7 hours and 6552 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
help please ASAP!!!!!
you can zoom in to see better
Answer:
true, false, and false
Step-by-step explanation:
Write the equation of a line perpendicular to y=-5x that passes through the point (1,1) in slope intercept form. (This question is worth 2 points. One point for the correct slope and the second point is for the correct y intercept.)
Answer:
y= 1/5x + 0.8
Step-by-step explanation:
Hope this helps
How many times greater is the value of digit 1 in 21,648 than in 32,163?
Answer:
squirrel
Step-by-step explanation:
squirrel
Answer:
10
Step-by-step explanation:
The quantities x and y are proportional. Y 3 30 10 100 16 160 Find the constant of proportionality (r) in the equation y = rx.
r =
Answer:
10
Step-by-step explanation:
1 / 3
What times x gives us y?
Hint 2 / 3
If we multiply each x-value by 10
we get to each corresponding y-value:
y=10x
The constant of proportionality is y= r x is 10
Answer:
The answer is 10
Step-by-step explanation:
What would be the answee
I WILL GIVE 175 POINTS TO ANYONE WHO HELPS ON ALL QUESTIONS
1. Write an equation in Slope-Intercept Form for a line that passes through (2, 2) and (0, 3).
2. Write an equation in point slope and slope-intercept that includes the points (0, 0) and (9, -3).
3. Write an equation in point-slope form that describes the line with a slope of 2 that contains the point (4, -3)?
4. A landscape service charges customers a one-time fee and an hourly rate of $15. For 3 hours of work, the company charge $75. 4. Write an equation in point-slope form. 5. How much does the landscape service charge for 12 hours of work?
5. A computer programmer charges $45 an hour for coding projects plus a start-up fee of $150. 6. Write an equation in standard form to represent the total cost t of a project that takes h hours. 7. How much does the programmer charge for a coding project that takes 25 hours?
6. Write an equation in slope-intercept form for a line that passes through the point (-4 , 3) and is parallel to the line 푦 = 5푥 + 2.
7. Write an equation in slope-intercept form for a line that passes through the point (6 , 4) and is perpendicular to the line 푦 = − 3 2 푥 − 4.
Answer:
--No answers here, just an additional question---
Question:
What in the heck is this : 푦
Emile paid $3.96 for 4 songs.
What is the unit rate and what does it mean?
Enter your answers in the boxes.
Answer:
$0.99
Unit rate is cost for 1 individual (song)
Step-by-step explanation:
$3.96/4
0.99
99 cents
Can you solve this?: 5+2x=12+x
Answer:
5+2x=12+x
put all numbers and Xs on one side each
-x=7
so x=-7
what is equivalent to x+x ?
a)xx
b)2x
c)x^2
d)2^x
Answer:
b
Step-by-step explanation:
I think it is B because x+x is two x's so it would be 2x. I hope this helped have a good day
Lisa spends the same amount of time doing homework each day on Monday she spents of half of her time studying for a history test. on Tuesday, she spent 3/5 of her time studying for the same test in
the two days she spenta bal of 3 hours and 29 minutes studying for the test How much time does
she spend ting homework each day
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 28 N acts on a certain
object, the acceleration of the object is 7 m/s². If the acceleration of the object becomes 3 m/s2, what is the force?
Answer:
Step-by-step explanation:
F=ma
28=7m
m=28/7=4
F=4a
when a=3 m/s²
F=4×3=12 N
Free brainliest timmmmmmme :)
What is 2+2?
A. 69
B. 420
C:666
D:21
PLEASE HELP WORTH 4 POINTS
Answer:
2+2=4
Step-by-step explanation:
lol tell me the subject and ill research and give u n answer
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.05?
If it was later determined that it was important to be more than 95% confident and a new survey was commissioned, how would that affect the minimum number you would need to survey? Why?
a. If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.
b. If the confidence level is increased, then the sample size would need to decrease because increasing the sample size would create an even larger interval.
c. If the confidence level is increased, then the sample size would need to decrease because we would like the proportion of people who buckle up to be around 50%.
d. If the confidence level is increased, then the sample size would not be affected.
Answer:
The value is [tex]n = 384 [/tex]
The correct option is a
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.05
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally since the sample proportion is not given we will assume it to be
[tex]\^ p = 0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5) [/tex]
=> [tex]n = 384 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
Generally if the level of confidence increases, the critical value of [tex]\frac{\alpha }{2}[/tex] increase and from the equation for margin of error we see the the critical value varies directly with the margin of error , hence the margin of error will increase also
So If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.
One-eighth of a number is -4,200.
What is the number?
-42,800
-37,800
-33,600
-42,000
Answer:
33,600
Step-by-step explanation:
take -4200 and multiply it by 8. You'd do this since the equation to get -4200 is
x(1/8) = -4200
multiply both sides by 8 to get rid of the fraction and you get x=33,600
Who wanna help me ???
25 points and brainlest
Answer:
2/5
Step-by-step explanation:
8/20=2/5
Why is it important for mathematicians to graph functions? Select all that apply.
A. For them to determine if a function can be inverted.
B. For them to visualize the function.
C. For them to extrapolate beyond the known data.
D. For them to determine if the function can be graphed.
E. For them to determine characteristics of the function.
Answer:
e
Step-by-step explanation:
s
3. $590 is deposited into a
savings account that earns
4.3 % simple interest for 3
years.
Answer:
615.37
Step-by-step explanation:
590 x 1.043
Hope I helped!
can you please help me with this question
The function h(x) = 2x – 8+ 1 is a transformation of the parent function f(x) = x. Select all the statements that describe a key feature of function h.
Answer:
1
4
5
Step-by-step explanation:
$6,000 is invested in an account at interest rate r, compounded continuously. Find the time (in years) required for the amount to double when r= 9.5% and when r=2.5%.
Answer: When r= 9.5% , time = 7.3 years
When r= 2.5% , time = 27.7 years
Step-by-step explanation:
Exponential equation for compounded continuously:
[tex]A=Pe^{rx}[/tex] , where P= Principal value invested , r= rate of interest, x= time
Given : P= $6,000
A = 2P= 2 ($6,000) = $12,000 (i)
When r= 9.5%= 0.095
[tex]A= 6000e^{0.095x}[/tex] (ii)
From (i) and (ii)
[tex]6000e^{0.095x}=12000\\\\\Rightarrow\ e^{0.095x}=2\\\\\Rightarrow\ \ln e^{0.095x} =\ln 2\\\\\Rightarrow\ 0.095x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.095}=7.296284210\approx7.3 \text{ years}[/tex]
For r= 2.5% = 0.025
[tex]6000e^{0.025x}=12000\\\\\Rightarrow\ e^{0.025}=2\\\\\Rightarrow\ \ln e^{0.025x} =\ln 2\\\\\Rightarrow\ 0.025x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.025}=27.72588\approx27.7 \text{ years}[/tex]
find the first five terms of the recursive sequence.
Answer:
5, 12, 19, 26, 33
Step-by-step explanation:
a1 = 5
a2 = 5 + 7 = 12
a3 = 12 +7 = 19
a4 = 19 +7 = 26
a5 = 26 + 7 = 33
Sandra rolls 2 fair dice.
What is the probability of both dice showing a different number?
Answer:
Each one has 3 even and 3 odd numbers.
For the first one to be even there is a 3/6 probability, which reduces to 1/2.
The probability of the second one being even is also 1/2.
The probability of both being even would be 1/2 x 1/2 = 1/4 probability
HELP PLEASE the second one is a match question
Answer:
1)Coefficient
2)Dividend
3) Quotient
Step-by-step explanation:
what is 2,107,954 in expanded form
Answer:
2,000,000+100,000+7,000+ 900+50+4
Step-by-step explanation: Can i have brainliest?
What is the DOMAIN of this graph?
Answer:
Is yellow
Step-by-step explanation:
an open circle for "less than" or "greater than", and a closed circle for "less than or equal to"
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
-0.4
Step-by-step explanation:
Answer:
Step-by-step explanation: