Answer:
y = 3x + 7
(Not sure what the question was so, I just put it in slope intercept form)
Step-by-step explanation:
Let x be Steve's age.
Steve = x
Steve's Mom = y
Now let's create an equation:
y - 7 = 3x
y = 3x + 7
(Not sure what the question was so, I just put it in slope intercept form)
Please let me know if I misunderstood the question that way I can help you! <3
Answer:
Steve's mom is 65.
Step-by-step explanation:
Let s = Steve's age.
s + (3s - 7) = 65
4s - 7 = 65
4s = 72
s = 18
Check:
Steve is 18
His mom is (3 * 18) - 7 = 54 - 7 = 47
14 + 47 = 65
Yep.
18 + 47 = 65
Step-by-step explanation:
81/5=3x
x=81×1/5×3
x=81/15
Step-by-step explanation:
What are the options to choose from?
Answer:
N → S (If national elections deteriorate into TV popularity contests, then smooth-talking morons will get elected.)
¬N → ¬S ( Therefore, if national elections do not deteriorate into TV popularity contests, then smooth-talking morons will not get elected.)
Step-by-step explanation:
¬ is a symbol of negation
→ is a symbol that represent "if... then..." scenario
What is the maximum profit the company can earn? How many snowboards must it produce to earn this
maximum profit?
a. Factor P =
4x2 + 32x + 336 to find the roots.
b. Find the axis of symmetry then use it to find the vertex.
c. Therefore, we need to see snowboards to make a maximum profit of
Answer:
a) x₁ = 14
x₂ = - 6
b) x = 4
c) P(max ) = 4000000 $
Step-by-step explanation:
To find the axis of symmetry we solve the equation
a) -4x² + 32x + 336 = 0
4x² - 32x - 336 = 0 or x² - 8x - 84 = 0
x₁,₂ = [ -b ± √b² -4ac ]/2a
x₁,₂ = [ 8 ±√(64) + 336 ]/2
x₁,₂ = [ 8 ± √400 ]/2
x₁,₂ =( 8 ± 20 )/2
x₁ = 14
x₂ = -6
a) Axis of symmetry must go through the middle point between the roots
x = 4 is the axis of symmetry
c) P = -4x² + 32x + 336
Taking derivatives on both sides of the equation we get
P´(x) = - 8x + 32 ⇒ P´(x) = 0 - 8x + 32
x = 32/8
x = 4 Company has to sell 4 ( 4000 snowboard)
to get a profit :
P = - 4*(4)² + 32*(4) + 336
P(max) = -64 + 128 + 336
P(max) = 400 or 400* 10000 = 4000000
Answer: 600
Step-by-step explanation: 12 months in one year. 12x50=600 months
Answer:
600 months
Step-by-step explanation:
In 1 year there are 12 months, so we take 50 (the years) and multiply that by 12
50x12=600 and we fact check by 600÷12=50. It takes 600 months to build the house over 50 years.
Answer:
All angle = (110°, 35°, 35°)
Step-by-step explanation:
Given:
Triangle is a Obtuse isosceles triangle
One angle = 35°
Find:
All angle
Computation:
In the Obtuse isosceles triangle, one angle is obtuse and the other two angles are acute so, two equal angles are 35°
So,
Sum of angle property
x + 35° + 35° = 180°
x = 110°
Obtuse angle = 110°
All angle = (110°, 35°, 35°)