Answer:
[tex]g(f(3))=-2[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]g(x)=4x+2\text{ and } f(x)=3x-10[/tex]
And we want to find g(f(3)).
So, let's find f(3) first:
[tex]f(3)=3(3)-10[/tex]
Multiply:
[tex]f(3)=9-10[/tex]
Subtract:
[tex]f(3)=-1[/tex]
Therefore, we can substitute -1 for f(3):
[tex]g(f(3))=g(-1)[/tex]
Now, find g(-1):
[tex]g(-1)=4(-1)+2[/tex]
Multiply:
[tex]g(-1)=-4+2[/tex]
Add:
[tex]g(-1)=-2[/tex]
And we're done!
So:
[tex]g(f(3))=-2[/tex]
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
The perimeter of a square is 60. If one side length of the square is X-4, then what is the value of x
Answer:
X= 19
Step-by-step explanation:
If you take 4 away from 19, it equals 15, the perimeter is all sides of the square. Which is 4 sides, 15 x 4 = 60 or 15+15+15+15. The formula for perimeter is all the sides added together.
how does a triangular prism look
Answer:
its like a 3d rectangle triangle
Step-by-step explanation:
yes
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]
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).
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
Gabe bought 8 bananas at the market for $1.84. Lucy bought 6 bananas at the grocery store for $2.10 . One banana at the grocery store is $ _______________ more than one banana at the market.
Answer:
one banana at the grocery store is 12 cents more than on banana at the market
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
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:
Which equation represents a line which is parallel to the line y=-3/4 x -2
Answer: Any equation that is of the form y = -3/4x + b, where b is a real number, will be parallel to y = -3/4x - 2.
Step-by-step explanation:
A parallel line has the same slope as the original line. Therefore, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.
The equation y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2
What is a linear function?A function that can be represented in the form of y =mx +c, is called a Linear Function. where m is the slope and c is the y-intercept.
The slope of the given line can be found as;
A parallel line has the same slope as the original line. Thus, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.
Any equation that is of the form y = -3/4x + b,
where b is a real number, will be parallel to the equation.
y = -3/4x - 2.
m = -3/4
The equation y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2
To know more about Linear Functions;
brainly.com/question/21107621
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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
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
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.
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]
5x-2=3x+4
which one?
x=1
x=2/3
x=-3
x=3
Answer:
x=3
Step-by-step explanation:
Answer:
[tex]\boxed {\tt x=3}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]5x-2=3x+4[/tex]
We want to solve for x, therefore we must isolate x on one side of the equation.
First, move all the constants to one side of the equation. 2 is being subtracted from 5x. The inverse of subtraction is addition. Add 2 to both sides.
[tex]5x-2+2=3x+4+2[/tex]
[tex]5x=3x+4+2[/tex]
[tex]5x=3x+6[/tex]
Next, move all the terms with variables to one side. 3x is being added to 6. The inverse of addition is subtraction. Subtract 3x from both sides.
[tex]5x-3x=3x-3x+6[/tex]
[tex]5x-3x=6[/tex]
[tex]2x=6[/tex]
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=\frac{6}{2}[/tex]
[tex]x=3[/tex]
x is equal to 3 and the correct answer is D. x=3
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
5 degrees below zero
Answer:
5 degrees below zero = -5 degrees
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
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.
If u=18, x=−10, and y=8 what is the value of u+xy?
Answer:
u+xy=18+(-10)8
=18-80
= -62
-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!
if i weigh 210 and i need to loose 5 pounds a month in 6 months what is my end weight
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:
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
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?
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]
i need help please and thanks a lot
Step-by-step explanation:
[tex] \huge \: K = \frac{1}{2} m {v}^{2} \\ \\ \huge \: 2 K =m {v}^{2} \\ \\ \huge \purple{ \boxed{m = \frac{2 K}{ {v}^{2} } }}[/tex]