Answer :
x = 53.85
Step by step explanation:
If 78% of x (some numbers) is equal to 42, then we must set this as an equation to find it.
1) Rewriting 78% as a fraction and considering that when we say 78% of some number (x) we mean a product.
78% = 78/100 ➡️ 78/100x = 42
2) Then we can go on :
100 * 78/100x = 42 * 100
78x = 4200
78x/78 = 4200/78 ➡️ x = 53.85
3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result :
42/0.78 = 53.85
Answer: Hi!
First, we should combine like terms:
4b + 5b = 8b − 1 +3b + 15 =
9b = 11b + 14
Now, we should subtract 11b from both sides.
-2b = 14
Now, we should divide both sides by -2.
b = -7
Hope this helps!
Answer:
Only one extreme value of f(x) is possible.
Step-by-step explanation:
We are given the quadratic function of independent variable x which is f(x) = x² - 7x - 6 ......(1)
Now. the condition for extreme values of f(x) is 
Hence, differentiating both sides of equation (1) with respect to x, we get
= 0
⇒ x = 3.5.
So there is only one value of x for which f(x) has extreme value which is x = 3.5.
Therefore, only one extreme value of the given function is possible. (Answer)
Answer:
Therefore Neither option A nor option B will allow them to meet their goal....
Step-by-step explanation:
The Polleys need to save $6,000 over 12 months.
After 7 months they discovered that they have saved $ 3,100 but in actual they have to save $3,500. It means $400 are short. Therefore for the remaining months they must save $6000-$3100 = $2900. They have to save 2900/5 = $580 each month.
According to the Option A The original amount was $500, in 5 months they will save 500*5 =$2500. They need total of $2900, which means $400 are short.
According to the Option B Increase savings each month by $100 from their original plan makes a total amount of $3000. This amount exceeds their goal.
Therefore Neither option A nor option B will allow them to meet their goal....
Answer:
acceleration of the golf ball will be faster. ( A )
Step-by-step explanation:
if you DROP a bowling ball vs a golf ball, the bowling ball will drop faster cause it’s heavier. but if you push a golf ball vs a bowling ball with the same force, the golf ball will be faster because it’s lighter. pushing a bowling ball with a lot of force will move it a certain amount, but moving a golf ball with that same force will go way past the bowling ball just cause it’s lighter.
