Step-by-step explanation:
if |A|≥B then
A≥B or A≤-B
4x-10≥14 or 4x≤-14
solve 4x-10≥14
add 20 on both sides
4x≥10+14
4x≥24
divide by 4 on both ends
x≥24/4
x≥6
now solve
4x-10≤-14
add 10 on both sides
4x≤-14+10
4x≤-4
divide both sides by 4
x≤-1
(-∞,-1] U [6,∞)
Answer:
slope is 10
y-intercept is 18
Step-by-step explanation:
To solve this problem, we need to set up a proportion.
2 batches of nut bars/ 4 eggs = 1 batch of nut bars / x eggs.
To solve this proportion, we use cross products, or multiplying the numerator of one number by the denominator of the other and setting them equal to one another.
(4 eggs) (1 batch) = (2 batches) (x eggs)
4= 2x
2=x
Therefore, 2 eggs are used in each batch of nut bars.
Answer:
John
Step-by-step explanation:
70 mi/(60 min) ≈ 1 1/6 mi/min.
1 1/6 miles is significantly farther than 50 ft, so John is driving (much) faster.
Answer:
YES
Step-by-step explanation:
The equation, 
, would be an identity if the equation remains true regardless of the value of x we choose to plug in into the equation.
Let's find out if we would always get a true statement using different value of x.
✍️Substituting x = 1 into the equation:
(TRUE)
✍️Substituting x = 2 into the equation:
(TRUE)
✍️Substituting x = 3 into the equation:
(TRUE)
Therefore, we can conclude that the equation, , is an identity.
