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dedylja [7]
3 years ago
5

What is the answer to this question 3x+1=10

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Step-by-step explanation:

3x+1=10 \\  \\   \therefore \: 3x = 10 - 1 \\  \\  \therefore \: 3x = 9 \\  \\  \therefore \: x =  \frac{9}{3}  \\  \\    \:  \:  \:  \:  \:  \:  \:  \:  \huge \purple { \boxed{\therefore \: x = 3}}  \\  \\

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Daniel reads dor 8 times as many as April. Daniel read 44 minutes this week. How many minutes does April read?
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44 [minutes] * 8 [times as many as April] = 352 [minutes in April]
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Put in order from greatest to least: -5, -10, -1/2, -2.5, -0.25​
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Help me please it’s due today
Zolol [24]

Answer:

49 ft  

Step-by-step explanation:

h(t) = 56t - 16t²

This is the equation of a parabola.

We must solve the equation to find the time (t) when the ball reaches its maximum height (h).  

The coefficient of t² is negative, so the parabola opens downward, and the vertex is a maximum.

One way to solve this problem is to convert the equation to the vertex form.

We do that by completing the square.

Calculation:

h = -16t² + 56t  

Divide both sides by -16 to make the coefficient of  t² equal to 1.

(-1/16)h = t² - ⁷/₂t

Square half the coefficient of t

(-7/4)² = 49/16

Add and subtract it on the right-hand side

(-1/16)h = t² - ⁷/₂t  + 49/16 - 49/16  

Write the first three terms as the square of a binomial

(-1/16)h = (t - ⁷/₄)² - 49/16

Multiply both sides by -16

h = -16(t - ⁷/₄)² + 49

You have converted your equation to  the vertex form of a parabola:

y = a(t - h)² + k = 0,

where (h, k) is the vertex.

h = ⁷/₄ and k = 49, so the vertex is at (⁷/₄, 49).

The time to reach maximum height is ⁷/₄ s = 1.75 s.

The graph below shows that the ball reaches a maximum height of 49 ft after 1.75 s.

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3 years ago
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