Answer:
-5v+3v = -2v
k-2-6+5k = 6k - 8
Step-by-step explanation:
For -5v+3v
-5 + 3 = -2
V is left so it's -2v
For k-2-6+5k
k + 5k - 2 - 6
6k - 2 - 6
6k - 8
1) -5v + 3v
= -2v
2) k - 2 - 6 + 5k
First take all like terms (everything with the same letters):
k + 5k = 6k
6k - 2 - 6
-2 - 6
= -8
6k - 8
Determine the vertex of the parabola y=5(x-2)2^-7
Answer:
Vertex: (−2,7)
Step-by-step explanation:
May I have brainliest please? :)
2. Write a rule for the translation of ABC to A A'B'C'.
12
B
12
Answer:
I think its b
i hope you pass
.. help lol just find the answer
what is the value of x
Answer:
7
Step-by-step explanation:
2(x-1) ≥ 10 or 3-4x > 15
Solve the compound inequality, and show work!
Answer:
[tex]x\geq 6\text{ or } x<-3[/tex]
Step-by-step explanation:
We have the compound inequality:
[tex]2(x-1)\geq10\text{ or } 3-4x>15[/tex]
Let's solve each of them individually first:
We have:
[tex]2(x-1)\geq10[/tex]
Divide both sides by 2:
[tex]x-1\geq5[/tex]
Add 1 to both sides:
[tex]x\geq6[/tex]
We have:
[tex]3-4x>15[/tex]
Subtract from both sides:
[tex]-4x>12[/tex]
Divide both sides by -4:
[tex]x<-3[/tex]
Hence, our solution set is:
[tex]x\geq 6\text{ or } x<-3[/tex]
Answer:
x ≥ 6 or x < -3
Step-by-step explanation:
2(x-1) ≥ 10 or 3 - 4x > 15
2x - 2 ≥ 10 4x < -12
x ≥ 6 or x < -3
Topic: Inequalities
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
HEEELP ME
Will give brainliest and points
I got absolute minimum wrong
9514 1404 393
Answer:
absolute maximum: (3, 27e^-3) ≈ (3, 1.24425)absolute minimum: (-4, -64e^4) ≈ (-4, -3494.28)Step-by-step explanation:
The absolute extremes will be at one of two locations:
where the derivative is zeroat an end of the intervalHere, the absolute maximum occurs where the derivative is zero (and the second derivative is negative).
f'(x) = 3x^2·e^-x -x^3·e^-x = x^2·e^-x·(3 -x) ⇒ f'(3) = 0
The absolute minimum occurs at the left end of the interval, where both x^3 and e^-x have large magnitude.
The minimum is ...
(-4)^3×e^-(-4) ≈ -3494.21 . . . . six significant figures
__
A graph can show you the function tends toward -∞ as x goes to large negative values. Hence, the absolute minimum on an interval beginning in the left half-plane will be at the left end of the interval.
A spaghetti dinner cost $12 and a slice of cake cost $3. Write an expression, using distributive property to find the total cost for a family of 5. Then solve your expression, showing your work, to find the total cost.
Answer:
5 (12+3)
75
Step-by-step explanation:
so you multiply 5 with the inside of paranthesis. So 5 x 12 and 5 x 3
So its 60 + 15 which is 75. Hope this helps!
10. A rectangular yoga studio is 25.15 feet long and 13.62 feet wide.
A. Round the length and width to the nearest whole number. Then estimate the perimeter of the yoga studio. write an equation to model your work.
B. Round the length and width to the nearest tenth. Then estimate the perimeter of the yoga studio. write an equation to model your work.
c. Find the exact perimeter. which estimate is closer? Explain why you think that estimate is closer.
please answer I'll mark brainlyest!!!!!
I really need Step my step answer full sentences and full answers and right answers please help me!
Answer:
a.
[tex]Length = 25[/tex]
[tex]Width = 14[/tex]
[tex]Perimeter = 78ft[/tex]
b.
[tex]Length = 25.2[/tex]
[tex]Width = 13.6[/tex]
[tex]Perimeter = 77.6ft[/tex]
c.
[tex]Perimeter = 77.54ft[/tex]
Estimate (b) is closer to the actual measurement.
Step-by-step explanation:
Given
[tex]Length = 25.15[/tex]
[tex]Width = 13.62[/tex]
Solving (a): Approximate measurements to whole numbers then estimate the perimeter.
When approximated to whole numbers (i.e. no decimal place), the new measurement is:
[tex]Length = 25[/tex]
[tex]Width = 14[/tex]
The perimeter is calculated as thus:
[tex]Perimeter = 2(Length + Width)[/tex]
[tex]Perimeter = 2(25 + 14)[/tex]
[tex]Perimeter = 2*39[/tex]
[tex]Perimeter = 78ft[/tex]
Solving (b): Approximate measurements to tenth then estimate the perimeter.
When approximated to tenth (i.e. to 1 decimal place), the new measurement is:
[tex]Length = 25.2[/tex]
[tex]Width = 13.6[/tex]
The perimeter is calculated as thus:
[tex]Perimeter = 2(Length + Width)[/tex]
[tex]Perimeter = 2(25.2 + 13.6)[/tex]
[tex]Perimeter = 2*38.8[/tex]
[tex]Perimeter = 77.6ft[/tex]
Solving (c): Exact Perimeter.
Given measurements are:
[tex]Length = 25.15[/tex]
[tex]Width = 13.62[/tex]
The perimeter is calculated as thus:
[tex]Perimeter = 2(Length + Width)[/tex]
[tex]Perimeter = 2(25.15 + 13.62)[/tex]
[tex]Perimeter = 2*38.77[/tex]
[tex]Perimeter = 77.54ft[/tex]
To determine which is nearest, we calculate the absolute difference between each estimate from the actual measurement.
For estimate a
[tex]Difference = |77.54 - 78|[/tex]
[tex]Difference = |-0.46|[/tex]
[tex]Difference = 0.46ft[/tex]
For estimate b
[tex]Difference = |77.54 - 77.6|[/tex]
[tex]Difference = |-0.06|[/tex]
[tex]Difference = 0.06ft[/tex]
The closest to the exact is the one with the smallest difference.
Hence, estimate (b) is closer to the actual measurement.
Consider the sequence 8, 6.2, 4.4.2.6. ... The function that describes the sequence is y(x) = 9.8 - 1.8(x). What is f(5)
evalute the expression when a =-7 and y =3
-2y+a
Answer:
-13
Step-by-step explanation:
If a = -7 and y = 3, then all we have to do is plug in the given values to the expression we were given!
-2(3) + (-7)
-6 - 7
-13
Answer:
Step-by-step explanation:
-2(3)+-7
-6+(-7)
-13
Solve 1/2x-2=9-5x by graphing
(blue) y= 1/2x -2
(green) y= 9-5x
The points in the table lie on a line. Find the slope of the line.
Х
6
--2
2.
6
y
8
5
2
1
Answer:
[tex] Slope (m) = -\frac{3}{4} [/tex]
Step-by-step explanation:
Using any two pairs from the table of values given, (-2, 5) and (2, 2):
[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Where,
[tex] (-2, 5) = (x_1, y_1) [/tex]
[tex] (2, 2) = (x_2, y_2) [/tex]
Plug in the value into the slope formula:
[tex] Slope (m) = \frac{2 - 5}{2 -(-2)} [/tex]
[tex] Slope (m) = -\frac{3}{4} [/tex]
the point P has coordinates (2,1) and the point Q has coordinates(-2,-1). Find out the equation of the perpendicular bisector of PQ
Answer: y = -2x
M is the midpoint of PQ
=> M(0;0)
the line PQ passes through P(2;1) and Q(-2;-1)
=> (PQ): 2x - 4y = 0
have:
(d): perpendicular (PQ)
passes throgh M(0;0)
=> (d): 4x + 2y = 0 ⇔ y = -2x
Step-by-step explanation:
The equation of the perpendicular bisector of PQ is,
⇒ y = - 2x
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point P has coordinates (2, 1) and the point Q has coordinates(-2, -1).
Hence, The slope of line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 1) / (- 2 - 2)
m = - 2 / - 4
m = 1/2
Thus, The slope of perpendicular line is,
⇒ m = - 2
The midpoint of coordinates (2, 1) and (- 2, - 1) is,
⇒ (- 1 + 1) / 2 , (- 2 + 2) / 2
⇒ (0, 0)
Hence, The equation of line is,
⇒ y = mx + b
⇒ 0 = - 2 × 0 + b
⇒ b = 0
Hence, The equation of the perpendicular bisector of PQ is,
⇒ y = - 2x
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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How many groups of 2/3 are in 3
Answer:
9/15
Step-by-step explanation:
PLEASE HELP ASAP!!!!!! i’ll mark brainlest
Answer: A) 5 x 1/2
Step-by-step explanation: 5 x 1/2 yields 2.5, which is also the answer to 5 / 2.
Answer: A. 5 x 1/2
5 divided by 2 is 2.5, and 5 x 1/2 is also 2.5
can someone help do the steps please
Answer:
-9=b
Step-by-step explanation:
1. combine multiple turns into a single fraction.
2. multiple all terms by the same value to eliminate
fraction denominators.
3. simplify
4. divide both sides of the equation by the same term
5. simplify
Solve:
-4 <-2x + 2 < 10
Answer:
3 > x > − 4 and your welcome bud
Hi, I need help with this I am struggling. will give brainliest.
A.positive
B.negative
C.zero
Answer:
I think it's zero or positive
5 1
6X-5
= 19
Х
= 19
30
х
30
(19)
X =
What is x
Answer:
yea u got it right my dude
plz i need the answer
(a)1/10
(b)4/5
(c)1/20
Answer:
a) [tex]\frac{2}{18}[/tex] or 1/9
b) [tex]\frac{14}{18}[/tex]
c)[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
THis table gives a few (x, y) pairs of a line in the coordinate plane.
x ......y
48 -30
61 -45
74 -60
What is the x-intercept of the line?
Answer:
The x-intercept is : (22, 0)
Step-by-step explanation:
Given the table
x y
48 30
61 45
74 60
From the table, it is clear that every y value is changing 15 units, and every x is changing 13 units. Hence, it is a straight line.
Hence, we can find the other values of this straight line as well.
so
When the value of y = 15 i.e. (30-15), then the value of x will
be 35 i.e. (48 - 13).
as
y = 30 - 15 = 15, and x = 48 - 13 = 35.
Similarly,
When the value of y = 0 i.e. (15-15), then the value of x will be 22 i.e. (35-13).
as
y = 15-15 = 0, and x = 35 - 13 = 22.
As we know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.
so, as we have checked that when the value of y = 0, then the value of x = 22.
Therefore, the x-intercept is : (22, 0)
Once a commercial plane reaches the desired altitude, the pilot often travels at a cruising speed. On average, the cruising speed is 620 miles per hour. If a plane travels at this cruising speed for 8 hours, how far does the plane travel while cruising at this speed?
Answer:
4960 miles
Step-by-step explanation:
Eleanor and Max used two rectangular wooden boards to make a set for
the school play. One board was 6 feet long, and the other was 5 feet
long. The two boards had equal widths. The total area of the set was
60 square feet. What was the width?
Answer:
[tex]\frac{60}{11}[/tex] feet
Step-by-step explanation:
Rectangle 1:
6 x Width = Area
Rectangle 2:
5 x Width = Area
Total Area = Area of Rectangle 1 + Area of Rectangle 2 = 60 square feet
Take Width as [tex]x[/tex] as the widths of both rectangles are the same:
[tex]5x + 6x = 60\\\\11x = 60\\\\x = \frac{60}{11}[/tex]
Find the slopes between the following-
Help Help Help Help!
Answer:
A) -3/4
B) 1/4
Step-by-step explanation:
A) m = y2-y1 / x2-x1
B) rise / run
Hope this helps. Pls give brainliest.
Need help !!!! I would make you 100 edits if you answer this for me ! I need some help on this !! It’s due in a few minutes!! Help me !!
Answer:
6A7C8B
Step-by-step explanation:
Add them in and try to solve for 7 and 6, for 8. I usually put all number on one side and all x on other side.
What is the x-value of the solution to the system of equations?
5x + 4y = 8
2x − 3y = 17
Answer:
x=4
Step-by-step explanation:
multiply first eq. by 3 and second by 4 to get rid of y
15x+12y=24
8x-12y=68
add the equations
23x = 92
divide both sides by 23
x=92/23=4
Answer:
x = 4
Step-by-step explanation:
Given the 2 equations
5x + 4y = 8 → (1)
2x - 3y = 17 → (2)
Multiplying (1) by 3 and (2) by 4 then adding will eliminate the y- term
15x + 12y = 24 → (3)
8x - 12y = 68 → (4)
Add (3) and (4) term by term to eliminate y, that is
23x = 92 ( divide both sides by 23 )
x = 4
MATHHHHH!!!! HELP ME OUTTT
Answer:a
Step-by-step explanation:hhehenndherndur
need help with my homework
Answer:
[tex]\displaystyle y=\frac{16-9x^3}{2x^3 - 3}[/tex]
[tex]\displaystyle y=-\frac{56}{13}[/tex]
Step-by-step explanation:
Equation Solving
We are given the equation:
[tex]\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}[/tex]
i)
To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.
We have to make it in steps like follows.
Cube both sides:
[tex]\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3[/tex]
Simplify the radical with the cube:
[tex]\displaystyle x^3=\frac{3y+16}{2y+9}[/tex]
Multiply by 2y+9
[tex]\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)[/tex]
Simplify:
[tex]\displaystyle x^3(2y+9)=3y+16[/tex]
Operate the parentheses:
[tex]\displaystyle x^3(2y)+x^3(9)=3y+16[/tex]
[tex]\displaystyle 2x^3y+9x^3=3y+16[/tex]
Subtract 3y and [tex]9x^3[/tex]:
[tex]\displaystyle 2x^3y - 3y=16-9x^3[/tex]
Factor y out of the left side:
[tex]\displaystyle y(2x^3 - 3)=16-9x^3[/tex]
Divide by [tex]2x^3 - 3[/tex]:
[tex]\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}[/tex]
ii) To find y when x=2, substitute:
[tex]\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}[/tex]
[tex]\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}[/tex]
[tex]\displaystyle y=\frac{16-72}{16- 3}[/tex]
[tex]\displaystyle y=\frac{-56}{13}[/tex]
[tex]\mathbf{\displaystyle y=-\frac{56}{13}}[/tex]
Item 9 A baker uses 23 of a canister of flour to bake 4 loaves of bread. How much flour does the baker use to bake 3 loaves of bread? Write your answer in simplest form.
Answer: 17.25
Step-by-step explanation:
A combination lock uses a 3-digit code. Each digit can be any one of the ten available integers 0_ 9 How many different combinations are possible?
Answer:
729
Step-by-step explanation:
If you multiply 9x9x9 which is for the largest number and the 3 digits you would get 729.