The input value for which f(x) = g(x) is true is x= 1.5.
In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
We have,
The intersection both functions is the point when f(x)=g(x).
As, the point of intersection both graphs is (5, 2)
Here for the input value of x= 1.5
f(1.5)= 2
g(1.5)= 2.
So, f(1.5)= g(1.5)= 2
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Answer: x=1.5
Step-by-step explanation:
Answer: d=$12, b=$1
d represents DVDs
b represets books
Step-by-step explanation:
Whenever you have 2 examples of 2 different things (such as books and dvds), make a systems of equations.
Step 1: Write a system of equations
3d+4b= 40
d+6b= 18
Step 2: Eliminate any letter. I'll just choose d.
To elimiate d, you have to make them both equal to the biggest d variable. In other words, make both d terms equal to 3d. To do this, miultiply the 2nd equation by 3, and keep the 1st one the same.
3d+4b=40
3d+18b= 54
Now, elimiate d, by doing 3d-3d= 0. Now use subtraction to solve for b since we used this to get 3 and 3 to 0.
4b-18b=40-54
-14b= -14
b= -14÷-14
b= 1
Each book costs 1 dollar.
Step 3: Plug in b=1 to find how much each dvd costs (plug into any equation)
3d+4b=40
3d+4(1)=40
3d+4=40
3d=40-4
3d=36
d=36÷3
d=12
Each dvd is $12
Step 4: Checks--plug d=12 and b=1 into any equation
3d+4b=40
3(12)+4(1)=40
36+4=40
40=40
It's correct ✅
Also i know this was answered really late but id appreciate if i could get brainliest as i worked pretty hard for this :) Hope i could help the best i could :D
B. 8
C. 9
D. 12
The number of boxes of tiles is 6. The correct option is A.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.
Given that a circular playground for a daycare centre is to be covered with square tiles that are 9 inches on each side. The circle has a diameter of 12 ft. The tiles are packaged in boxes of 25 tiles.
The area of the circle is,
A = π x r²
A = π x 6²
A = 113 square ft
The area in square inches is,
A = 113 x 12 = 1356 square inches
The number of tiles will be,
Number = 1356 / 9
Number = 150
The number of boxes,
N = 150 / 25
N = 6 boxes
Therefore, the number of boxes will be 6.
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x+x+x+5=
xx6xx( this is only addition not multiplication)
Use 0-9 only once figure out the x