Answer:
x = -3
Step-by-step explanation:
Given the equation, -4(10 + 3x) - (x + 8) = - 9:
Distribute -4 into (10x + 3x), and - 1 into (x + 8):
-4(10 + 3x) - (x + 8) = - 9
-40 -12x - x - 8 = -9
Combine like terms:
-48 - 13x = -9
Add 48 to both sides:
-48 + 48 - 13x = -9 + 48
-13x = 39
Divide both sides by -13:
[tex]\frac{-13x}{-13} = \frac{39}{-13}[/tex]
x = -3
Therefore, x = -3
Please mark my answers as the Brainliest if you find my solution helpful :)
Which of the following situations are equal to 90%? Select all that apply.
A) 18 out of 24
B) 18 out of 20
C) 36 out of 40
D) 54 out of 60
E) 81 out of 90
Can someone help Find the value of f(-8)?
Answer:
Step-by-step explanation:
When y =f(-8) the answer is y = -2
Simplify the expression:
-7n + -2 - 6
Answer:
-7n + -8
= -7n - 8
= -(7n + 8)
Step-by-step explanation:
brainliest plz
Tìm cực trị của hàm số y = 2x3 - 6x + 2.
Step-by-step explanation:
câu này 2x3 hay 2^3 vậy bạn
HELP.....................
Let me first ask this :
how do u find the midnumber of 1 and 3 ?
( 1 + 3 ) ÷ 2 =
4 ÷ 2 =
2
_________________________________
It is the exact way we do to find the midpoint of a line ; have a look :
The midpoint of AB is P thus :
( Point A + Point B ) ÷ 2 = Point P
Suppose that we have point B as ( x , y ) then :
[ ( 2 , 3 ) + ( x , y ) ] ÷ 2 = ( 6 , - 1 )
Now we add the same components of points A and B together, that is, we add the first component A to the first component B and replace the first component, and so we add the second component A to the second component B. And replace the second component :
[ ( 2 + x , 3 + y ) ] ÷ 2 = ( 6 , - 1 )
( 2 + x/2 , 3 + y/2 ) = ( 6 , - 1 )
Well now we have a draw so the first components of both sides of the draw must be equal Also, the second components of the two sides of the equation must be equal , thus :
2 + x/2 = 6
Multiply both sides by 2
2 × ( 2 + x )/2 = 2 × 6
2 + x = 12
Subtract both sides 2
2 - 2 + x = 12 - 2
x = 10 &3 + y/2 = - 1
Multiply both sides by 2
2 × ( 3 + y )/2 = 2 × ( - 1 )
3 + y = - 2
Subtract both sides 3
3 - 3 + y = - 2 - 3
y = - 5________________________________
And finally, after all the hardship and misery, we realized that
B = ( 10 , - 5 )Which mean Option C is the correct answer.
And we're done...
According to financial reports, the average household credit card debt in 2010 was $7768 and in 2012 was $7117. What is the rate of change of the credit card debt per year? If this trend were to continue, how much would you expect the average household credit card debt to be in 2016?
Answer: 1953
Step-by-step explanation: You need to subtract 7768 and 7117 to find the average change in 2 years; you get 651, divide this by 2 to find the amount of change in 1 year and you'll get 325.5, now if we take 325.5 times 6 (the amount of years until 2016) you will find 1953 as the answer.
the distance between points S and T is 61 units. point S is located at (-6,8) and point T is at (x,-3). what could be the value of x?
The distance between two points is the number of units between them
The possible value of x is -66
The given parameters are:
[tex]\mathbf{S = (-6,8)}[/tex]
[tex]\mathbf{T = (x,-3)}[/tex]
[tex]\mathbf{ST = 61}[/tex]
Distance ST is calculated using:
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
So, we have:
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 - -3)^2}}[/tex]
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 +3)^2}}[/tex]
[tex]\mathbf{d = \sqrt{(-6 - x)^2 + 11^2}}[/tex]
Substitute 61 for d
[tex]\mathbf{ \sqrt{(-6 - x)^2 + 11^2} = 61}[/tex]
Square both sides
[tex]\mathbf{ (-6 - x)^2 + 11^2 = 61^2}[/tex]
[tex]\mathbf{ (-6 - x)^2 + 121 = 3721}[/tex]
Subtract 121 from both sides
[tex]\mathbf{ (-6 - x)^2 = 3721 - 121}[/tex]
[tex]\mathbf{ (-6 - x)^2 = 3600}[/tex]
Take square roots of both sides
[tex]\mathbf{ -6 - x = 60}[/tex]
Add 6 to both sides
[tex]\mathbf{ - x = 60 + 6}[/tex]
[tex]\mathbf{ - x = 66}[/tex]
Multiply both sides by -1
[tex]\mathbf{ x = -66}[/tex]
Hence, the possible value of x is -66
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£800 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three times as much as Stephen. How much does Richard get?
Answer: Natasha = 480; Richard = 240, Stephen = 80
Step-by-step explanation:
Let N, R, and S stand for the amounts Natasha, Richard and Stephen receive. The problem tells us that:
N = 2R, and
R = 3S
We know that N+R+S = 800
Since N=2R and R=3S, N = 6S
N+R+S = 800
6S+3S+S=800
10S=800
S=80
R=3S or 240
N=2R or 480
Conclusion:
N gets 480
R gets 240,
and S gets 80
That adds to 800.
. . . AND the last conclusion is that I need to meet Natasha. Please send Stephen home.
Solve for the value of m.
73°(6m-1)º
Step-by-step explanation:
6m-1+73=180 (linear pair)
6m+72=180
6m=180-72
6m=108
m=108/6
m=18°
PLEASE HELP ASAP!!!!!!!!
<3
Answer:
Step-by-step explanation:
1. 9.3521x10^12
2. 8.07x10^-3
3. 8x10^8
4. 5.2x10^4
5. 4.8x10^4
6. 8.369x10^9
7. 9x10^14
8. 2x10^2
9. 2.44x10^-3
10. 9x10^4
3/4 x 7/10 = ? in a fraction simplest form
Answer
[tex]\frac{0.525}{1}[/tex]
Step-by-step explanation:
The solution to the fraction in simplest form is 21/40
How to calculate the solution to the fraction?The fraction is given as
3/4 × 7/10
The next step is to multiply both fractions
= 3×7/4×10
= 21/40
The result gotten from the multiplication of both fractions cannot be broken down into simplest forms. Therefore the answer is 21/40
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25. 2x + 3y = 4
- 3x + 2y = 6
Demtermine if each of the lines are perpendicular
Answer:
the lines are perpendicular
Step-by-step explanation:
please do this for me
Answer:
hope it will helpful for uhh
make me brainliest plz
Mr. La Fleur pays $130 to rent a car for a week. He also pays $5 for every 100 miles that he drives. Write an equation in slope intercept form that shows the relationship between the total cost of renting the car(y) and the number of miles that are driven (x).
Step-by-step explanation:
y+0.05x
0.05 because
5$ for 100
5$/100=0.05(for a single mile)
4x - y + z = -5
-x + y -z = 5
2x -z -1 = y
linear systems 3 variables I'm lost
Step-by-step explanation:
rewriting the third equation
[tex]4x - y + z = - 5 \\ - x + y - z = 5 \\ 2x - y - z = 1[/tex]
add to second equation to the first
[tex]4x - y + z = - 5 \\ + (- x + y - z )= 5 \\ = 3x = 0 \\ x = 0[/tex]
[tex] - y + z = - 5 \\ y - z = 5 \\ - y - z = 1[/tex]
I add third equation to the second
[tex]y - z = 5 \\ + ( - y - z) = 1 \\ = - 2z = 6 \\ z = - 3[/tex]
substitute z = -3 into either one of the other two equations and solve for y
[tex] - y + ( - 3) = - 5 \\ - y - 3 = - 5 \\ - y = - 2 \\ y = 2[/tex]
x = 0
y = 2
z = -3
Answer:
x=0,z=-3,y=2
Step-by-step explanation:
sry for late response
Explain why:
expressing 0.78 as a fraction is (78/100).
Answer:
Because in 0.78 78 is in the hundreths place so you would place 78/100
Step-by-step explanation:
If 15x + 20=a(bx + c), where a, b and c are integers, and a > 1,what is
the value of a? 3, 4, 5, 10, or 15
Since a > 1, b cannot be greater than 15, hence the value of a can be 3, 4, 5, and 10
Given the expression 15x + 20=a(bx + c),
To get the value of a, we will need to factor out the given expression as shown:
15x + 20=a(bx + c)
15x + 20=abx + ac
Comparing both sides
15x = abx
15 = ab
a = 15/b
Since a > 1, b cannot be greater than 15
Hence the value of a can be 3, 4, 5, and 10
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Solve for h.
19 =
h
4
+ 16
h =
Answer:
h=3/4
Step-by-step explanation:
19=h4+16
19-16=h4+16-16
3=h4
3/4=h4/4
3/4=h
h=3/4
Answer:
h = 3/4 or as a decimal it would be 0.75
Step-by-step explanation:
19 = h × 4 + 16
Reorder the terms
Use the communative property to reorder the terms
19 = 4h + 16
19 = 4h + 16
Move the terms
Move the variable to the left - hand side and change its side
19 - 4h = 16
Move the constant to the right - hand side and change its sign
-4h = 16 - 19
-4h = 16 - 19
Calculate
calculate the difference of 16 minus 19
-4h = -3
-4h = -3
Divide both sides of the eqaution by -4
Therefore your answer is h = 3/4 or if you want a decimal simplify 3/4 by dividing 3 and 4, which gives you 0.75
4. If all we were told about the diagram below was ADG, then what conclusions could you draw? Explain
your answer.
G
Answer: Points A, D, and G are collinear, meaning they all lie on the same line.
Step-by-step explanation:
y=(a-8)²
make a the subject
Step-by-step explanation:
hope this helps, if it's wrong just tell me but I am confident it's right
Hi please I need some help
Answer:
12
Step-by-step explanation:
because 20÷1/4=5
so 5 ounces
and then the 3 ounces for yourself so 8 ounces taken away
20 - 8 = 1212 ounces leftThe line segment, AB has a point C as its midpoint. If A is at (2,2) and C is at (5,4) what are the coordinates of the endpoint B
A:(-1,0)
B:(3.5,3)
C:(5,4)
D:(8,6)
Answer:
( 8 , 6 )
Step-by-step explanation:
A = ( 2 , 2 ) and C = ( 5 , 4 )
→ Form an equation
[tex]\frac{2+x}{2} =5[/tex] and [tex]\frac{2+y}{2}=4[/tex]
→ Now solve them
2 + x = 10 and 2 + y = 6
→ Simply find the values
x = 8 and y = 6
SOLUTION :
All you need to apply is the formula of Midpoint i.e [tex] \sf{ \bold{( \frac{x_{1} + x_{2}}{2} \: , \frac{y_{1} + y_{2}}{2} )}}[/tex] Plug the known values :[tex] \large{ \rightarrow{ \tt{ \: (5 \: ,4 \: ) = ( \frac{2 + x}{2} \: , \frac{2 + y}{2} )}}}[/tex]
Equating corresponding values :[tex] \large{ \tt{5 = \frac{2 + x}{2} }}[/tex]
[tex] \large{ \rightarrow{ \tt{10 = 2 + x}}}[/tex]
[tex] \large{ \rightarrow{\tt{10 - 2 = x}}}[/tex]
[tex] \boxed{ \large{ \rightarrow \tt{x = 8}}}[/tex]
Value of x = 8[tex] \large{ { \tt{4 = \frac{2 + y}{2} }}}[/tex]
[tex] \large{ \rightarrow{ \tt{8 = 2 + y}}}[/tex]
[tex] \large{ \rightarrow{ \tt{8 - 2 = y}}}[/tex]
[tex] \boxed{ \large{ \rightarrow{ \tt{y = 6}}}}[/tex]
Value of y = 6[tex] \large{ \boxed{ \tt{OUR \: FINAL \: ANSWER : \: D. \: (8 \:, 6 \: ) }}}[/tex]
:) Hope I helped! Let me know if you have any questions regarding my answer! ~
Jay pays $5.25 for 5 water bottles. What is the price per water bottle?
Answer:
1.05
Step-by-step explanation:
you do 5.25/5 and that makes 1.05
Hi there!
»»————- ★ ————-««
I believe your answer is:
$1.05 per bottle
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\frac{\text{Price}}{\text{Number of Water Bottles}} \rightarrow\frac{5.25}{5}\rightarrow\frac{5.25/5}{5/5}\rightarrow\ \frac{1.05}{1}\rightarrow \boxed{\$1.05}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
this doesn’t make any sense I swear she didn’t teach us this and I’m so confused
A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at_______.If the point is to the right of 0, then the point is located at_______.Whether the point is to the left or right of 0, the distance from 0 to the point is ____units.
Answer:
A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at -6.If the point is to the right of 0, then the point is located at 6.Whether the point is to the left or right of 0, the distance from 0 to the point is 6 units.
Step-by-step explanation:
Have a good day :)
△ABC ~ △ADF.
What is the length of side AC?
I need help plz..plzz
Answer:
hope it helps ...........
Luisa took a job in which her salary can be modeled by the exponential function
y = 36.000(1.025)", where x is the number of years after she is hired.
Damon took a job with a starting salary of $38.500 and yearly raises of $800.
Select EACH correct statement about the scenario.
The difference in the starting salaries is $1,600.
The difference in the starting salaries is $2,500.
The difference in the starting salaries is $2,000.
Luisa will make more money in the first 8 years.
Damon will make more money in the first 8 years.
They will make the same amount of money in the
Answer:
Step-by-step explanation:
38,500-36,000=2,500
B. The difference in the starting salaries is $2,500.
D. Luisa will make more money in the first 8 years.
The required scenario are,
(1) The difference in the starting salaries is $2,500.
(2) Damon will make more money in the first 8 years.
Given that,
Luisa took a job in which her salary can be modeled by the exponential function y = 36.000(1.025)", where x is the number of years after she is hired. Damon took a job with a starting salary of $38.500 and yearly raises of $800.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
According to the question,
Difference in starting salary = 38500 - 36000 = $2500
Luisa's salary after 8 years = $43862.50
Damon's salary after 8 years = $45108.89
Thus, the required scenario is,
(1) The difference in the starting salaries is $2,500.
(2) Damon will make more money in the first 8 years.
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The table shows a proportional relationship. What is the value of y when x = 29.4?
x
0.7
3.5
8.4
24.5
y
0.4
2
4.8
14
Answer:y=16.8
Step-by-step explanation:
proportional means that x/y= constant
so there the constant is 1.75
if x=29.4 then 29.4/y =1.75
y = 29.4/1.75
help i forgot how to do this
Answer:
a=3/5 or 0.6
Step-by-step explanation:
a-8/5-2/3a=-7/5
Step 1: Multiply both sides
15a-24-10a=-21
Step 2: Combine like terms
5a-24=-21
Step 3: Calculate and divide both sides by 5
5a=3
Solution:
a=3/5 or 0.6