Answer:
3) 3x - y = 1
Step-by-step explanation:
m=3
(y-2) / (x-1) = 3
y-2 = 3(x-1)
y = 3x - 1
Fiona was thinking of a number. Fiona divides by 8, then adds 11 to get an answer of 7. What was the original number?
Answer:
-32
Step-by-step explanation:
Do the opposite of everything to fin the number:
7 - 11 = -4
-4 x 8 = -32
Check to see if it's true:
-32/8 = -4
-4 + 11 = 7
So the original number was -32, because when you divide it by 8 then add 11 it equals 7.
-8(y + 5) = -8y - 40 TRUE or FALSE
Answer: true because that’s what you get when you use the distributive property
Step-by-step explanation:
Simplify the following.
Answer:
[tex]m^{4}n^{5}[/tex]
Step-by-step explanation: ( I'm a student, I'm not really good at explaining maths )
When dividing variables with exponents, you subtract the exponents that has the same variables, like this:
[tex]m^{16-12}n^{10-5}[/tex]
Simplifying this becomes:
[tex]m^{4}n^{5}[/tex]
In order to solve the equation below, what would be a valid first step?
4(x+8) =34−2x
A. Simply x + 8 to 8x.
B. Distribute the 4.
C. Subtract x from both sides.
D. Subtract 8 from both sides.
2. If 1/2 of a gallon of paint covers 1/8 of a wall, how much paint is needed to cover the entire wall?
A) 8 2/3 gallons
B) 8 1/3 gallons
C) 3 gallons
D) 2 gallons
Please help !
Answer: 4 gallons.
Step-by-step explanation:
With this equation, we can use the ratio 1/2 : 1/8. For every 1/2 gallon of paint, 1/8 of a wall is painted.
If 1/2 gallons covers 1/8 of a wall, then we need 8 of the 1/2 gallons to cover the whole wall. We canrepresent this by multiplying 8 and 1/2.
8 x 1/2 = 4.
Because of this, 4 gallons of paint are needed to cover he entire wall.
(Quick note: I don't know why, but the answer choices seem kind of weird. But the answer is 4 :])
A store manager wants to determine how much to pay her employees. The number of hours the employees work is x, and the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation 10y-30x=20 . The business owner states that the employees should be paid a wage given by the equation 6y+30x=60. If the two equations were added then simplified to determine hourly wage, y, how much would the employees be paid?
Answer:
The employees will work for 1 hour, will earn $5 per hour and will be paid $5
Step-by-step explanation:
System of Equations
The number of hours the employees work is x.
And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation
10y-30x=20
The business owner states that the employees should be paid a wage given by the equation
6y+30x=60
Adding both equations we have:
16y = 80
Dividing by 16:
y = 80/16 = 5
Substituting into the first equation:
10*5-30x=20
Operating and simplifying:
50-30x=20
50 - 20 = 30x
30x = 30
x = 30/30 = 1
Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5
Solve the system
9x^2 + 4(y - 2)^2 = 36
x^2 = 2y
Answer: y = 2 and x = 2
Step-by-step explanation:
[tex]9x^2+4(y-2)^2=36\\x^2=2y[/tex]
First, get the entire thing in terms of y, because you cant solve for two variables at the same time. They gave us the fact that x^2 = 2y
[tex]9(2y)+4(y-2)^2=36\\18y+4(y^2-4y+4)=36\\18y+4y^2-16y+16=36\\4y^2+2y-20=0[/tex]
What two numbers multiply to equal -80 but add to equal 2? That is +10 and -8.
[tex]4y^2+2y-20=0\\(4y^2-8y)+(10y-20)=0\\4y(y-2)+10(y-2=0)\\(4y+10)(y-2)=0\\y=-5/2\\y=2[/tex]
Now solve for x by plugging in y to the easier equation
[tex]x^2=2(-5/2)\\x\neq \sqrt{-5}[/tex]
If I didn't make a mistake, this should be the only answer. In the case of y = -5/2, you would get an imaginary x-value. Therefore y cannot equal -5/2
[tex]x^2=2(2)\\x=2[/tex]
The solution of the expression are,
x = 2.28 , y = 2.62
Or, x = 3.9i , y = - 7.62
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
9x² + 4 (y - 2)² = 36 .. (i)
x² = 2y .. (ii)
Substitute the value of x² from (ii) in (i);
9x² + 4 (y - 2)² = 36
9 × 2y + 4 (y - 2)² = 36
18y + 4 (y - 2)² = 36
9y + 2 (y - 2)² = 18
9y + 2 (y² + 4 - 2y) = 18
9y + 2y² + 8 - 4y = 18
2y² + 5y + 8 - 18 = 0
2y² + 5y - 10 = 0
y = - 5 ± √5² - 4×2×- 10 / 2×2
y = - 5 ± √ 25 + 80 / 2
y = - 5 ± √ 105 / 2
y = - 5 ± 10.24 / 2
y = - 5 + 10.24 / 2
y = 5.24/2
y = 2.62
y = - 5 - 10.24 / 2
y = - 15.24 / 2
y = - 7.62
From (ii);
x² = 2y
x² = 2 × 2.62
x² = 5.24
x = 2.28
x² = 2y
x² = 2 × - 7.62
x² = - 15.24
x = 3.9i
Thus, The solution of the expression are,
x = 2.28 , y = 2.62
Or, x = 3.9i , y = - 7.62
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
x^2 + 9x + 14 I need help !
Answer:
x² + 9x + 14 can be factored as (x+2)(x+7)
Step-by-step explanation:
The general form is ax² + bx + c. If a=1, then you can start looking for two numbers that multiplied give c and added give b.
14 = 2*7
and
9 = 2+7
hence the easy factorization
(x+2)(x+7)
Keep in mind that it only works if a=1.
Answer:
( + 2 ) (x+7 )
Step-by-step explanation:
Use the sum-product pattern 2 + 9 + 1 4 2 + 7 + 2 + 1 4 2
Common factor from the two pairs 2 + 7 + 2 + 1 4 ( + 7 ) + 2 ( + 7 ) 3
Rewrite in factored form ( + 7 ) + 2 ( + 7 ) ( + 2 ) ( + 7 )
Does anybody know the answer???
Answer:
Linear polynomial.
Step-by-step explanation:
A linear polynomial is written with a degree 1. An example of a linear polynomials includes 3x + 5. This is what 5b - 1 is.
Hope it helps!
Find the value of x.
48°
(7x + 13)
Answer:
336x + 624
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
i have no idea why there is a degree symbol by it probably an angle
anyway
7x+13=48
subtract 13 from both sides
7x+13-13=48-48 -> 7x=35
divide
7x/35
x=5
uwu
Me Help ASAP or when everrr
Answer:
Base = 3√5
Step-by-step explanation:
Given:
Hypotenuse = 9
Perpendicular = 6
Find:
Base(x)
Computation:
Using Pythagorean theorem
Base = √Hypotenuse² - Perpendicular²
Base = √9² - 6²
Base = √81 - 36
Base = √45
Base = 3√5
write an expression equivalent to 2(2x + 2y).
Answer:
4x+4y
Step-by-step explanation:
You can write an equivalent expression by simply simplifying the expression. In order to simplify this expression, distribute the numbers.
You'll get:
(2*2x)+(2*2y) = 4x + 4y
4x + 4y is an equivalent expression.
the table below shows the speed of a falling object that every second within the first 5 seconds of its downward motion based on the relationship between speed and time that the same will suggest which equation can be used to find the speed of the object at t seconds A. 8=t/32 B. S=32t C. S=32-t D. s=t+32
Answer:
B. s = 32t
Step-by-step explanation:
The equation would be in the form of s = mt.
Where, m = rate of change
Find rate of change using any two values given in the table, say (1, 32) and (2, 64)
Rate of change (m) = ∆s/∆m = (64 - 32)/(2 - 1) = 32/1 = 32
✔️To write the equation, substite m = 32 into s = mt
s = 32t
Which is more, 23 ounces or 1 pound?
The function f(x) = {}]" is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
0 (-3.375)
o(-22
O (3)
10 (2-23
Answer:
I think your problem didn't copy correctly because you didn't provide a function. if you could provide it to me I would be glad to help and give you the answer.
I also do exams and quizzes if your interested
The dimensions of a wooden bench shaped like a rectangular prism are 6 feet by 3.5 feet by 2.5 feet. What is the
volume of the bench in cubic feet?
14.75 Ft
® 52.5 ft
© 12 ft?
D 36 ft?
Answer:
12
Step-by-step explanation:
Lines x and y are parallel lines cut by a transversal. If m 24 = 82°, which of the
following is true?
+
21 22
24 / 23
X
Y
25 26
28/ 27
A) m_8 = 82
B) m 25 = 82°
I NEED HELP ASAP!!!!!
Solve the equation and show your work.
Here's the problem: 4x + 3x - 3(4x - 8) = 14
Step 1.) Eliminate parentheses by distributing the -3.
Step 2.) Collect any like terms on the left side of the equation.
Step 3.) Subtract 24 from both sides of the equation.
Step 4.) Divide both sides of the equation by -5.
Answer:
Step-by-step explanation:
x=2
There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit
Answer:
v = 1
Step-by-step explanation:
volume of a cube = side cubed
1 cubed = 1
Answer:
answer is 1 cubic unit
hope this helps
math su.cks......................................................................................................................................................................................................................... on suc.kers! i like bad jokes.
Answer:
Step-by-step explanation:
Ok
Answer:
what
Step-by-step explanation:
:(
The perpendicular bisectors of triangle RST intersect at K. Find KR
Answer:
Step-by-step explanation:
Remark
The diagram is a mess of lines; you have to guess where that 12 belongs. Just to make the question a bit more interesting, I'm going to say the 12 belongs to the perpendicular.
If that's true you can find KT using Pythagorus. KT and RT are equal. (SSS)
So, let's go.
Givens
1/2 of ST = 1/2 32 = 16
12 is the leg of the small triangle KT and the third point where the perpenduclar line meets ST.
Solution
KT^2 = 16^2 + 12^2
KT^2 = 256 + 144
KT^2 = 400
KT = sqrt(400)
KT = 20
RK = KT because parts of a congruent triangle = parts of the other triangle containing the line (KT) that you are trying to find the length of.
4(6-5x)^2+11=20
quadratic equations
Answer:
(x-114.5), (x-14.05)
Step-by-step explanation:
Answer attached
2. x2 - 11x-26= 0
The number and type of roots
the answer is 12
because it is
The equation of line L is 2x+y=3
Line M is parallel to line L and passes through
(1,−6)
Work out the equation of line M.
Give your answer in the form
y=ax+b
(3 marks)
Answer:
y = -2x - 4
Step-by-step explanation:
We transform the line equation of L:
2x + y = 3 --(-2x)--> f(x) = y = -2x + 3
We now know that L intersects the y-axis at 3 and it has a slope of -2.
In order to construct a parallel line M, it needs to have an identical slope to L.
All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).
Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:
f(x) = y = -2x - 4 for line M.
Can someone plz help me the info is in the photo I'm begging you and I need the equation to show my work.
Answer:
$65.02
Step-by-step explanation:
15% of 85 = 12.75
sale price = 85-12.75 = 72.25
10% of 72.25 = 7.225 = 7.23
final cost = 72.25 - 7.23 = 65.02
Can’t figure out M<7/12
The options are
A.1
B.-1
C.-9
D.-5
M < 7 / 12
(1) < 7 / 12
(1) < 0.583333333 (false statement)
(-1) < 7 / 12
(-1) < 0.583333333 (true statement)
(-9) < 7 / 12
(-9) < 0.583333333 (true statement)
(-5) < 7 / 12
(-5) < 0.583333333 (true statement)
B C D maybe?
Which sequence is an example of an arithmetic sequence
Answer:
Only the third sequence is arithmetic
Step-by-step explanation:
If the sequence has a common difference, then it is arithmetic. To find the common difference, substract a term from the next term.
First sequence:
10 - 20 = -10 5 - 10 = -5 The differences are not the same, so the sequence is NOT arithmetic
Second sequence:
-6 - (-3) = -3 -18 - (-6) = -12 The differences are not the same, so the sequence is NOT arithmetic
Third sequence:
10 - 5 = 5 15 - 10 = 5 20 - 15 = 5 The differences are the same, so the sequence is arithmetic
Fourth sequence:
10 - 5 = 5 20 - 10 = 10 The differences are not the same, so the sequence is NOT arithmetic
Four divided by what number equals 12?
Answer:1/3
Step-by-step explanation:
Answer:
1/3 or 0.3333
Step-by-step explanation:
[tex]\frac{4}{x} =12[/tex]
[tex]4 = 12x[/tex]
[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]
Four divided by 1/3 equals 12.
Really confused, can someone help me?
First Answer:
x = 12
First Step-by-step explanation:
12 + x = -3(4 - x)
12 + x = -12 + 3x
- x - x
—————————
12 = -12 + 2x
+ 12 + 12
—————————
24 = 2x
24/2 = 2x/2
12 = x
Second Answer:
No solution
Second Step-by-step explanation:
2(x - 1/2) = 8 + 2x
2x - 1 = 8 + 2x
+1 +1
—————————
2x = 9 + 2x
- 2x - 2x
—————————
0 = 9
^^ No solution
*PLEASE ANSWER!!! THANK YOU*
Greg is a pharmaceutical sales rep who works on commission. He needs to sell his product to at least 5 doctors each month. What is the term that represents needing to sell a certain amount before getting paid?
a.) Quota
b.) Salary
c.) Gross pay
Answer:
A
Step-by-step explanation: