Write and solve an equation to find the number
six times the sum of a number and 15 is -42
Hey there! I'm happy to help!
Sum means to add. Let's call our number n.
n+15
We multiply this whole thing by 6.
6(n+15)
And this is -42.
6(n+15)=-42
We use distributive property to undo the parentheses.
6n+90=-42
We subtract 90 from both sides.
6n=-132
We divide both sides by 6.
n=-22.
Have a wonderful day! :D
Given f(x)=x−1−−−−√+2, what is the relationship between f(x) and f−1(x)? Drag and drop an inequality into each box to correctly complete each statement.
Answer:
The domain of f(x) is x>-2, so the range of f-1(x) is y>-2
The range of f(x) is y>-1, so the domain of the f-1(x) is x>-1
Step-by-step explanation:
To solve this question, we need to know the definition of domain and range.
The domain of a function is defined as all the possible input x-values while the range is defined as all the possible output y-values.
For f(x), domain for x is; x ≥ 1 and range is; y ≥ 2
For f⁻¹(x); domain is; x ≥ 2 and range is; x ≥ 1
We are given the function;
f(x) = [tex](\sqrt{x - 1} ) + 2[/tex]
Now, when x = 1, we will have zero inside the square root sign and this means that any x-value less than 1 will make the value inside the square root symbol to be negative which will result in an imaginary root.
Thus, we can say that, the domain for x is; x ≥ 1
Putting x = 1, we can find the least range value;
f(x) = 0 + 2
f(x) = 2
Thus, the range will be; y ≥ 2
Now, we want to find the range of f⁻¹(x)
This means an inverse of the original equation.
Thus;
f⁻¹(x) = [tex](x - 2)^{2} + 1[/tex]
Let's put x = 2;
f⁻¹(x) = (2 -2)² + 1
f⁻¹(x) = 1
Since x=2 gives the bracket to be zero, it means the domain is; x ≥ 2 and range is; x ≥ 1
Read more at; brainly.com/question/24522291
Sanjay and Felipe are putting together a 500-piece puzzle. Sanjay could do the entire puzzle by himself in 6 hours, while it would take Felipe 8 hours to do the puzzle alone. A table showing Rate in part per hour, Time in hours, and Part of puzzle complete. The first row shows Sanjay, and has blank, t, t. The second row shows Felipe, and has blank, t, t. Use the table to write and solve an equation to determine the approximate amount of time it would take Sanjay and Felipe to do the puzzle if they were working together. 0.8 hours 1.7 hours 3.4 hours 7 hours
Answer:
3.4h
Step-by-step explanation:
Answer:
C 3.4 hours
Step-by-step explanation:
add please -35.25+(8.5)
Answer:
Hello the answer is -23.75
plus +minus=Minus so we will minus it
Answer:
-26.75
Step-by-step explanation:
So what I did is I took away the minus sign and put it in front of 8.5 instead so the equation became: 35.25-8.5. Then, I subtracted which gave me 26.75 and then I added the minus sign back in which gave me -26.75.
The chart show the masses and velocities of two colliding objects that stick together after a collision.
According to the law of conservation of momentum, what is the momentum of the object after the collision?
4,500 g • m/s
1,750 g • m/s
1,500 kg • m/s
3,000 kg • m/s
Answer:1,500 kg • m/s
Step-by-step explanation:
took the quiz
The momentum of the object after the collision is 1500 kg.(m/s).
What is Momentum?Momentum is the product of a particle's mass and velocity. As a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on the particle equals the time rate of change of momentum.
As per the given data:
[tex]m_A = 200 kg\\v_A = 15 m/s\\m_B = 150 kg\\v_B = -10 m/s[/tex]
Law of conservation of momentum:
Initial momentum = Final momentum
[tex]m_Av_A + m_bv_b[/tex] = Final momentum
Final momentum = 200(15) + 150(-10)
= 3000 - 1500
= 1500 kg.(m/s)
Hence, the momentum after collision is 1500 kg.(m/s).
To learn more on Momentum, click:
brainly.com/question/30677308
#SPJ7
What is the Square root of -3
the area of a square is 36 cm^2? what is the side length
Answer:
6cm
Step-by-step explanation:
[tex]\sqrt[]{36} =6[/tex] Add the units, and there is your answer.
Help please 50 points!
Answer:
84%
Step-by-step explanation:
The mean has 50% below the mean and 50 % above the mean
The mean is 103.47
The standard deviation is 4.07
Add the mean and the standard deviation
103.47+4.07 = 107.54
We want to know how much data is below the mean plus one standard deviation
Within one standard deviation is 68% , but that is on both sides, we are only needed on the right side so we need 1/2 of the 68 = 34
50+34 = 84
16-(2+6)•-8 solve with the order of operations
Answer:
By solving the equation with the order of operations, the correct answer is: 80
Help me I need help ASAP will
Give BRAINLIEST
Answer:
real numbers: all
rational: all but pi
Integers: 20,-9
Whole, 20,-9, radical 16
Natural: 20
Irrational: pi
Step-by-step explanation:
Find the coordinates of the missing if endpoint
if B is the midpoint of AC.
Given Endpoint: C(9,2)
Midpoint: B(6,4)
O A(7.5, 3)
O A(3,6)
O A(1.5, 1)
O A(12, 0)
Answer:
B. A(3, 6)Step-by-step explanation:
If B is the midpoint of AC, where the coordinate of the midpoint B is (6, 4) and endpoint C is (9,2). To get the other coordinates A, we will use the midpoint formula;
B(X,Y) = (x₁+x₂/2, y₁+y₂/2)
From the formula;
X = x₁+x₂/2 and Y = y₁+y₂/2
From the coordinaes given X = 6, Y = 4, x₂ = 9 and y₂ = 2
To get x₁:
From X = x₁+x₂/2
6 = x₁+9/2
cross multiply
12 = x₁+9
x₁ = 12-9
x₁ = 3
Similarly for y₁;
Y = y₁+y₂/2
4 = y₁+2/2
cross multiply
8 = y₁+2
y₁ = 8-2
y₁ = 6
Hence the coordinates of the missing endpoint A(x₁,y₁) is (3, 6)
Daniel has 3/4 of a glass of water. He wants to share the water equally with his brother. How much water will each brother get?
The correct division expression is 3/4÷ ___
Each boy will get _______ of a glass of water
Answer:
0.375
Step-by-step explanation:
You have to just divide 3/4 divided by 2 = 0.375
Answer:
it is 3/4 divided by 2 and the last one is 3/8
Step-by-step explanation:
The value of the 4 in the number 124 is ___ the value of the 4 in the number 949 Please help!
Answer:
a TENTH OF THE VALUE
Step-by-step explanation:
Jemila has $10, $5, and $1 bills in her piggy bank. Their total value is $63. If she has two more $5 bills than $10 bills, and three more $1 bills than $5 bills, how many of each bill does Jemila have?
Answer:
She has 3 $10 bills, 5 $5 bills and 8 $1
3 times 10= $30
5 times 5 = $25
8 times 1 = $8
$30 + $25 + $8 = $63
A system of equations is a group of equations that can be solved simultaneously. Here we can find one that allows us to solve the given question.
We will see that: Jemila has 8 $1 bills, 5 $5 bills, and 3 $10 bills.
First, let's define the variables:
x = number of $1 bills in the piggy bank.y = number of $5 bills in the piggy bank.z = number of $10 bills in the piggy bank.Then the total amount of money in the piggy bank is:
$1*x + $5*y + $10*z
And we know that the total value is $63, then one equation is:
$1*x + $5*y + $10*z = $63
We also know that she has two more $5 bills than $10 bills, then:
y = z + 2
We also know that she has three more $1 bills than $5 bills, then:
x = y + 3
So our system of equations is:
$1*x + $5*y + $10*z = $63
y = z + 2
x = y + 3
To solve this, we need to isolate one of the variables in one of the equations. We can see that some variables are already isolated, like on the second or third equations.
For example, we can replace the second equation into the first and third ones:
$1*x + $5*y + $10*z = $63
x = y + 3
$1*x + $5*(z + 2) + $10*z = $63
x = (z + 2) + 3
Now we can simplify these to get:
$1*x + $15*z + $10 = $63
x = z + 5
Now we can replace the second equation on the first one:
$1*x + $15*z + $10 = $63
$1*(z + 5) + $15*z + $10 = $63
Finally, we can solve this for z.
$16*z + $5 + $10 = $63
$16*z = $63 - $15
$16*z = $48
z = $48/$16 = 3
z = 3
Now that we know the value of z, we can use it in the equations:
x = z + 5 = 3 + 5 = 8
y = z + 2 = 3 + 2 =5
Then the solution is:
x = 8y = 5z = 3Then Jemila has 8 $1 bills, 5 $5 bills, and 3 $10 bills.
If you want to learn more, you can read:
https://brainly.com/question/13997560
3(32 − 4 + 6 )− (82 + + 3) ?
simpilyfy
plzz
Answer:
17 is your answer
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
3(32-4+6) --> 102 & (82+3) --> 85
102-85 =17
what are the coordinates of the midpoint between the points (-4,-9) and (-8,-5)?
Answer:
(-6,-7)
Step-by-step explanation:
Apply the midpoint formula!
sue is thinking of a number 3/8 of 88 = 1/3 of her number
what number is she thinking of
Help!
write the set of numbers in set-builder notation:
the set of all real numbers except 100
Rewrite 4/6:1/3 as a unit rate. A: 2/1 B: 12/6 C: 2/9 D: 12/1
Answer:
2/1
Step-by-step explanation:
get the first part of each fraction to something divisible by the second part
4 · 3= 12/6
1 · 3= 3/3
12÷2= 2 3÷3= 1
2/1
Answer:
Correct answer is A 2:1
Step-by-step explanation:
When writing a unit rate the denominator is always 1
If you want to obtain a unit rate you divide both quantities by the second one.
what is a unit rate?
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
I am literally so confused... please help!
Answer:
y=x*6
Step-by-step explanation:
it is y=x*6 because the y axis is every x's six times.
Answer:
y=6x
Step-by-step explanation:
Frist, you are going to use y=mx+b
M= the slope of the line.
B= the y-intercept( where the line crosses the y-axis).
Slope= [tex]\frac{Rise}{Run} =\frac{30}{5}[/tex] the you simplify it to [tex]\frac{6}{1}[/tex]= 6
Now, you plug in your equation for m.
y=6x+b
Y-Intercept= where the line crosses the y-axis.
In this case it is at 0. Now plug it in.
y=6x+0
Whenever your "b" is 0 you don't need to add +0 in your equation.
I NEED THE ANSWER TO THIS QUESTION!!!!!! ITS A 6TH GRADE MATH!!! PLS!!!! THX!!!!! I WILL MARK THE BRAINLIEST!!!!!!!!’
Answer:
I think its $120
Step-by-step explanation:
there are 20 players each having 2 slices. Meaning that they'll need 40 pizzas. each box has 8 slices so theyll need 5 boxes for 40 pizzas. each box costs $24 so that will be $24 x 5 =$120
5 | 9 - 5n|-7 = 38
I need helppp.
Answer:
I got 0 or 18/5
Step-by-step explanation:
a number greater than -5
a number that is most 30
a minimum number of 17
a number that is at least 90
Answer:
Hi there!
Your answers are:
1) x> 5
Some numbers that would fit this equation are 6, 7, 8, etc!
2) x<= 30
Some numbers that would fit this are 30, 29, 28, etc!
3) x>= 17
Some numbers that would fit this equation are 17, 18, 19, etc!
4) x>= 90
Some numbers that would fit this are 90, 91, 92, etc!
Hope this helps!
[PLEASE ANSWER ASAP, DIFFICULT QUESTION] (SHOW WORK IF NECESSARY)
Answer:
14.99s-15g
Step-by-step explanation:
Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car. Each hour that he drives, his car uses up 1.25 gallons of gas. Write an equation to represent the scenario. How much gas will Dominic have in 3 hours? Show Your Work
Answer:
Step-by-step explanation:
10-1.25 = 9.75 (1 hour) 9.75-1.25=8.50(2 hour) 8.50-1.25=7.25(3rd hour)
h= hour g= gallons
1h=-1.25gallons
can someone help me solve the answer please?
Answer:
m∠MON = 99°
Step-by-step explanation:
A "straight angle" has a measure of 180°, so the two given angles will have that value as their sum.
m∠MON +m∠LOM = m∠LON
(8x -13°) +(7x -17°) = 180°
15x -30° = 180° . . . . collect terms
x -2° = 12° . . . . . . . . divide by 15
x = 14° . . . . . . . . . . . add 2°
Now we can find the measures of the angles.
m∠MON = 8x -13° = 8(14°) -13°
m∠MON = 99°
_____
Check
m∠LOM = 7x -17° = 7(14°) -17° = 81°
The sum of 81° and 99° is 180°, as it should be.
A linear pair of angles is formed when two lines intersect.
A linear pair of angles must add up to 180°.
Given:angle MON = 8x - 13°
angle LOM = 7x - 17°
To Find:The measure of angle MON .
Solution:angle MON + angle LOM = 180°
or, (8x - 13°) + (7x - 17°) = 180°
or, 15x - 30°= 180°
or, 15x = 180° + 30°
or, x = 210/15 = 14°
Answer:angle MON = 8x - 13°
By putting the value of x, we get
angle MON = 8(14) - 13°
angle MON = 99°
aluminium + hydrochloric acid gives aluminium chloride + hydrogen
Answer:Yes
Step-by-step explanation:
Aluminum chloride plus hydrogen
Solve for y in the given equation 2y - 24 = 14y
Answer are
8y
-8y
-2
2
Answer:
y = -2
Step-by-step explanation:
First, we subtract 2y on both sides:
-24 = 12y
Then, we divide 12 on both sides:
y = -2
And we're done ^^ hope this helps!
equivalent fraction for ½.
Answer:
2/4
Step-by-step explanation:
half/whole for any number really
If angle 2 equals (2x+5)degrees and angle 3 equals 85 degrees, what is the value of x?
Answer:
x=40
Step-by-step explanation:
2x+5=85
2x+5-5=85-5
2x=80
\frac{2x}{2}=\frac{80}{2}
x=40
The value of x for the given expression in angles will be 40. The correct option is B.
What are supplementary angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angles are defined as when the sum of the angles is equal to 180 degrees.
Given that ∠2 equals (2x+5)degrees and ∠3 equals 85 degrees. The value of x will be calculated by using the supplementary property of angles.
2x+5=85
2x+5-5=85-5
2x=80
x=40
Therefore, the value of x for the given expression in angles will be 40. The correct option is B.
To know more about supplementary angles follow
https://brainly.com/question/12919120
#SPJ2
