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]
5 degrees below zero
Answer:
5 degrees below zero = -5 degrees
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
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
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
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
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 (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
If u=18, x=−10, and y=8 what is the value of u+xy?
Answer:
u+xy=18+(-10)8
=18-80
= -62
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
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]
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]
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
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:
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(x – 1) = 9(x + 2) solve for x
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
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
-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!
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
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]
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.
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.
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]
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?
if i weigh 210 and i need to loose 5 pounds a month in 6 months what is my end weight
how does a triangular prism look
Answer:
its like a 3d rectangle triangle
Step-by-step explanation:
yes
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
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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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).