Answer:
3(4x + 1)(x - 4) Answer choice B
Step-by-step explanation:
-12x^2 + 45 + 12
You would take out the -3 in the equation.
-3(4x^2 -15x - 4)
You can then multiply the first 4 and the last -4 and get a -16. You can then find two numbers that would multiply to -16 and add to -15.
You would do this by listing the factors of -16, which the numbers 1 and -16 would work.
You would then substitute each value in for the 17x and add them together, which this is just separating the value 17x.
3(4x^2 - 16x + x - 4)
3(4x^2 - 16x)(x - 4)
You can then take ou ta four for the first function in the parentheses.
3(4x(x - 4) 1(x - 4))
Then you take the function from the outside and the inside.
3(4x + 1)(x - 4)
The answer to the question would be B.
Answer:
125 cm³
Step-by-step explanation:
The cube has a side length of 5 cm.
Volume of a cube is given by; side × side × side
Since all the sides are equal then the volume is:
5cm × 5cm × 5cm = 125 cm³
Answer: 7
Step-by-step explanation:
3n=21
n=7
Answer: D. 0.981
Step-by-step explanation:
Step 1: For the given data table on x^2
We square all values given to us
Step 2: we repeat Same for Y^2 table too.
Step 3: XY table we multiply x and y
Step 4: we make a summation of them all
Step 5: we input our summer value into our formula.
Step 6 : we arrive at our answer which is 0.981
Answer:the size of the button hole is 2.35 cm
Step-by-step explanation:
For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.
The formula for determining the circumference of a circle is expressed as
Circumference = πd or 2πr
Where
d represents the diameter of the circle
π is a constant given as 3.14
From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be
d = circumference/π = 7.38/3.14
d = 2.35 cm
