Answer:
6(2x+1) – 3 = 4x – 5
Firstly multiply
12x + 6 -3 = 4x-5
12x - 4x = -5-3
8x = -8
x =-1
The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =
Now the given equation is,
6(2x+1) – 3 = 4x – 5
So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,
12x + 6 – 3 = 4x – 5
or, 12x + 3 = 4x – 5
Taking alike terms together we get,
12x - 4x = – 5 - 3
Solving we get,
8x = -8
Dividing both side by 8 we get,
x = -1
which is the required solution of the given equation.
Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
To learn more about equations :
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Find the domain and range of the following absolute value functions. fx)=|x-1|+2 I’ll mark brainliest to whoever answers first
Answer:
Domain is All Real x.
Range is f(x) ≥ 2.
Step-by-step explanation:
The vertical lines about the x - 1 means the Absolute value ( always positive).
|x - 1| will always be positive or 0 and it's graph is shaped like a V with the vertex at (1, 0)
The + 2 will move the graph up 2 units so the vertex becomes (1, 2).
5 (n - 14) =2 (n + 14)
Answer:
n= 98/3
Step-by-step explanation:
1. Complete distributive property *5(n-14)* and *2(n+14)*
5n-70=2n+28
2. Subtract 5n from both sides
-70=-3n+28
3. Subtract -70 from both sides
-98=-3n
4. Divide the variable from both sides *-3n*
-98/-3
5. Simplify
98/3
Final Answer:
98/3
6(1 + 5n) − 6n = 174
Answer:
N=7
Step-by-step explanation:
1. Distribute the 6 into the parentheses
6+30n-6n=174
2.combine like terms
6+24n=174
3. Subtract 6 on both sides
24n=168
4.now divide
24/24 cancels out 24/168 is what 7 soooo
n=7
how does a triangular prism look
Answer:
its like a 3d rectangle triangle
Step-by-step explanation:
yes
2p +5q = 21
3p-2q=-16
Answer:
p =− 2
q = 5
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
p =− 2
q = 5
Answer:
q = 5
p = -2
Step-by-step explanation:
I'm gonna use elimination
2p + 5q = 21 Multiply 3 ------> 6p +15q = 63
3p - 2q = -16 Multiply 2 -------> 6p -4q = -32
6p +15q = 63
6p -4q = -32 -__________
19q = 95
q = 5
To find P use any of the equations and substitute q to 5
3p -2(5) = -16
3p -10 = -16
3p = -6
p = -2
If u=18, x=−10, and y=8 what is the value of u+xy?
Answer:
u+xy=18+(-10)8
=18-80
= -62
Evaluate the following expression for x = 4.
1+3(x-1)-2x
Answer:
2
Step-by-step explanation:
1+3(x-1)-2x
Substitute the value of x into the equation:
1 + 3(4-1) -2 (4)
1 + 3(3)- 8
1 + 9 - 8
2
A is the midpoint of BC.
BA = 3x+8
AC=23.
solve for x
Since A is the midpoint of BC, we can assume BA and AC are equal to each other.
We also know that BC = BA + AC = 23 + 23 = 46
In the figure below, points A, E, F, and C lie in plane X.
Points B and D do not lie in plane X.
For each part below, fill in the blanks to write a true statement.
B
(a) FC and
are distinct lines that intersect.
A.
X
C
E
F
(b) B. I, and I are distinct points that are collinear.
(c) Another name for plane X is plane I.
(d) E, I, I, and I are distinct points that are coplanar.
Answer:
a) FC ←→ and BD ←→ are distinct lines that intersect.
b) B , C and D are distinct points that are collinear.
c) Another name for plane [tex]X[/tex] is plane AEF.
d) E , A , F and C are distinct points that are coplanar.
Step-by-step explanation:
The first step to solve this question is to look carefully at the picture.
For a) :
We can see that the line FC and the line BD intersect at the point C.
We can write :
a) FC ←→ and BD ←→ are distinct lines that intersect (we can see more lines that intersect with FC ←→ in the picture such as AC ←→ or AE ←→).
For b) :
We can see that the line BD ←→ passes through the points B , C and D (B , C and D are collinear points).
We can write :
b) B , C and D are distinct points that are collinear.
For c) :
We can name any plane using three points which are contain in the plane but this three points must not be collinear points.
We can name the plane [tex]X[/tex] using the points A , E and F (this is a possible solution).
We can write :
c) Another name for plane [tex]X[/tex] is plane AEF.
Finally, for d) :
Two or more points are coplanar wherever they belong to the same plane.
In the picture, the points A , E , F and C belong to the plane [tex]X[/tex].
We can write :
d) E , A , F and C are distinct points that are coplanar.
On a number line, suppose point E has a coordinate of -2, and EG = 13. What are the possible coordinates of point G
if i weigh 210 and i need to loose 5 pounds a month in 6 months what is my end weight
if f(x) = 5x -1 find f(1)
f(1)= 5(1)-1
f(1)= 5-1
f(1)= 4
Answer: 4
True Or False The Solution to an equation is the ONE number that makes it true.
Answer:
True.
Step-by-step explanation: If you substitute the solution into the original equation, it is the only number that will make the equation balanced or have an equal value on both sides of the equals sign.
If h = -19 and j = 16, what is
[tex] \sqrt{j - h} [/tex]
Answer:
[tex]\sqrt{35}[/tex]
Step-by-step explanation:
h =-19
j =16
[tex]\sqrt{j-h} = ?[/tex]
Substitute values into the given equation
[tex]\sqrt{16-(-19)} \\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=\sqrt{16+19}\\\\\mathrm{Add\:the\:numbers:}\:16+19=35\\\\=\sqrt{35}[/tex]
5 degrees below zero
Answer:
5 degrees below zero = -5 degrees
I need help with this solving equations X + 9 = -16
Answer:
Step-by-step explanation:
x + 9 = -16
Subtract 9 form both sides
x + 9 - 9 = - 16 - 9
x = -25
Answer:
X= -25
Step-by-step explanation:
Subtract 9 from both sides.
hey how do i solve this problem i’m clueless and don’t know how to do it. if you can could you explain it please?
(6g^4h^5)^2. We have to square each term individually. Remember, squaring an exponent is just multiplying the exponents together.
6^2 = 36
(g^4)^2 = g^8
(h^5)^2= h^10
The final answer: 36g^8h^10
6(x – 1) = 9(x + 2) solve for x
There are 28 butterflies in the garden. Some are blue and some are yellow. If b represents the number of blue butterflies in the garden, which expression represents the number of yellow butterflies in the garden?
Answer:
y = 28 - b
Step-by-step explanation:
you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.
The lengths of the sides of a triangle are consecutive integers. If the perimeter of the triangle is 111, find the lengths of the sides.
Answer:
we know
perimeter of triangle = sum of all sides
here lengths of sides are consecutive integers so
length of three sides = x, (x+1) and (x+2)
now
Perimeter = 111
or, x + (x+1) + (x+2) = 111
or 3x + 3 = 111
or 3x = 108
x = 36
x = 36
(x+1) = 36 + 1 = 37
(x+2)= 36 + 2 = 38
1. There are 4 quarters in 1 dollar.
a) Shades 1/2 of a dollar.
b) How many cents is 1/2 of a
dollar?
HELP ME PLS HELP FAST DIE IN 5 MIN
Answer:
158 cm2
Step-by-step explanation:
surface area = (6×5)+2(8×5)+(8×6) = 158 cm2
Help me please!!! Find the distance between the points (-3,-1) and (5,-1)
Answer:
D = 8
Step-by-step explanation:
[tex]d= \sqrt{(5-(-3))^2+(-1-(-1))^2} \\d= \sqrt{(8)^2+(0)^2} \\d= \sqrt{64+0} \\d= \sqrt{64} \\d= 8[/tex]
Let f(x)=2x-5 and g(x)=x^2
Perform the function operation (f-g)(x)
Answer:
2x - 5 - x²
Step-by-step explanation:
note (f - g)(x) = f(x) - g(x), thus
f(x) - g(x)
= 2x - 5 - x²
The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
Answer:
1.5<x<4 i hope this is right sorry if its not
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
4+10=-2(8x-7) this dosent make any sence to me. can someone help me out
Answer: x=0
Step-by-step explanation:
(you are trying to find x)
4+10=-2(8x-7)
2+5=(8x+7)
7=(8x+7)
0=8x
x=0
Pls rate this brainliest
8 + 4x = 2x + 8 + 2x
Answer:x=0
Step-by-step explanation:
Answer:
0 = 0
True
Step-by-step explanation:
[tex]8 + 4x = 2x + 8 + 2x[/tex]
Collect like terms
[tex]8-8 =2x+2x -4x\\[/tex]
Simplify
[tex]8-8 =0\\2x+2x =4x\\4x -4x =0\\\\0=0[/tex]
-x^2 where x = -5
algebra 2
Step-by-step explanation:
if if you put x equals to -5
it becomes -(-5)^2 which is equal to -25
Answer:
-25
Step-by-step explanation:
1) The equation is -(-5)^2
2) When you square a negative number, it will be a positive
3) So in this equation it would be -(25)
4) However, there's another negative sign in front.
5) So the answer therefore is -25
Hope this helps!
3(6-f)-4=3f-4
Solve for f
Answer:
3=f
Step-by-step explanation:
3(6-f)-4=3f-4
18- 3f=3f-4
14-3f=3f-4
14=6f-4
18=6f
3=f
Answer:
f=3
Step-by-step explanation:
Please answer the question and give an explanation. Will give brainliest.
Step-by-step explanation:
By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.
This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.
So z = 3.2 (1 d.p.)
Step-by-step explanation:
x=4.2
y=2.7
z=x
(×+y=×
(4.2+2.7=×)
×=6.9