Step-by-step explanation:
<em>Hello</em><em>,</em><em> </em><em>there</em><em>!</em><em>!</em><em>!</em>
<em>The</em><em> </em><em>answer is option</em><em> </em><em>D</em><em>.</em>
<em>I</em><em> </em><em>have</em><em> </em><em>given</em><em> </em><em>solution</em><em> </em><em>on</em><em> </em><em>the</em><em> </em><em>picture</em><em>.</em>
<em>Hope it helps</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>
The balloon reaches a height of 7 feet at 0.1 seconds and 2.13 seconds
<h3>How to determine the time the balloon is at the height?</h3>
The equation of the function is given as
h(t)= -16t^2 + 35t + 5
The above equation is a quadratic equation
When the balloon is at a height of 7 feet, we have
h(t) = 7
So, we have the following equations
h(t)= -16t^2 + 35t + 5
h(t) = 7
Next, we plot the equations on a graph (see attachment)
The equations intersect at
t = 0.059 and t = 2.129
Approximate
t = 0.1 and 2.13
Hence, the times are 0.1 seconds and 2.13 seconds
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Answer:
False
Step-by-step explanation:
x + 3 < -5
x < -8
-x > -8
x < 8
Both aren't same
Answer:
3000 books
Step-by-step explanation:
We know the author receives a one time fee of $2500. On top of that, the author will receive $1.50 per book sold. This is a constant rate and is linear because of this. We can use y=mx+b. M is the slope or rate of change. M here is $1.50. B is the starting value which is $2500 here.
We write y=1.5x+2500.
This equation will give the amount of money the author earns for x number of books sold. If y=7000 for the author earning 7000. We will use inverse operations to isolate and find x.
7000=1.5x+2500
7000-2500=1.5x+2500-2500
4500=1.5x
4500/1.5=x
3000=x
Jakobe sold 150 coffee, 50 tea and 120 donuts at the coffee cart on Monday.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of coffee, y represent the amount of tea and z represent the amount of donuts, hence:
x + y + z = 320 (1)
Also:
1.5x + 2y + 0.75z = 415 (2)
And:
x = 3y (3)
From the equations:
x = 150, y= 50 and z = 120
Jakobe sold 150 coffee, 50 tea and 120 donuts at the coffee cart on Monday.
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