Step-by-step explanation:
Take the number as x
12x-40=7x+25
collect like terms
12x-7x=25+40
5x=65(divide both sides by 5)
x=13
Therefore number is 13
Answer:
a.) 20 kilometers
b.)1.67 hours
Step-by-step explanation:
a.) formula= speed =distance/time
Speed= 10km/hr
Distance=unknown
Time=2hrs
Therefore from formula, distance=speed x time
10 x 2
20 kilometers
b.) If average speed is increased by 2km/hr then
total speed= 2+10=12km/hr
Distance remains constant therefore distance= 20km
Therefore time =distance/speed
20/12
= 1.67 hours
Answer: (2x - 1)(3x - 4)
(split -11x as -8x and -3x)
Step-by-step explanation:
I am assuming that it is actually 6x^2 - 11x + 4
To find out how to split the middle term: The two numbers should multiply to a*c (6*4 = 24) and add to b (-11)
-8, -3 works
(6x^2 - 8x) + (-3x + 4)
2x(3x - 4) + -1(3x - 4)
(2x - 1)(3x - 4)
- - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -

❖ A number y increased by 5 is at least -21.

❖ First, if you come across the word "increased" it means we
"increase" a number, or add something to that number, like
y increased by 5

Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.
So we have

<em>Solving for y</em>
<em></em>
- Subtract 5 on both sides:-


So the values of y greater than or equal to -26 will make this inequality true.
<h3>Good luck with your studies.</h3>

F(x)=((1/4)x+9)/10 Because f of x = f(x), equals the quantity means =, one-fourth x is just (1/4)x, plus 9 is + 9, and all over ten means take everything previously said over ten.