Answer:
7
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question:
The height of the rock after t seconds is given by the following equation:
[tex]H(t) = -16t^2 + 96t + 112[/tex]
How long will it take in seconds for the rock to hit the ocean?
This is t for which:
[tex]H(t) = 0[/tex]
So
[tex]-16t^2 + 96t + 112 = 0[/tex]
Simplifying by -16
[tex]t^2 - 6t - 7 = 0[/tex]
So a quadratic equation with [tex]a = 1, b = -6, c = -7[/tex]
[tex]\Delta = b^{2} - 4ac = (-6)^2 - 4*1*(-7) = 36 + 28 = 64[/tex]
[tex]t_{1} = \frac{-(-6) + \sqrt{64}}{2*1} = 7[/tex]
[tex]t_{2} = \frac{-(-6) - \sqrt{64}}{2*1} = -1[/tex]
Since time is a positive measure, it will take 6 seconds for the rock to hit the ocean, and the answer is 7.
what are the x-interceptsf(x)=-2x2-3x+20?
Step-by-step explanation:
f(x)=(2×2)-3x+20
0=4-3x+20
0=-3x+24
3x=24
×=24÷3
x=8
the difference of 17 and 5 times a number
Answer:
I need more context
Step-by-step explanation:
Help please I give brainliest
Answer:
I think its no association because the snow cone doesn't really tell you anything you can have a snow cone at any time of day
Step-by-step explanation:
Answer:
No association
Step-by-step explanation:
The average tempature decreases while the sales of snow-cones increase
Which improper fraction is equivalent to 15 3/7
Answer:
108/7
Step-by-step explanation:
15*7 is 105+3 is 108/7
1
8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, what amount can be caught at the end of this time
Answer:
At the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
Step-by-step explanation:
Given that 8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, to determine what amount can be caught at the end of this time the following calculation must be performed :
100 - 20 = 80
Year 0 = 8 million
Year 1 = 8 x 0.8 = 6.4 million
Year 2 = 6.4 x 0.8 = 5.12 million
Year 3 = 5.12 x 0.8 = 4,096 million
Year 4 = 4.096 x 0.8 = 3.2768 million
Thus, at the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answer:
15 +5x +24 +8x
39 + 13x is answer
What is 7.456283 rounded to the nearest hundred thousandths place?
The answer will be 7.45628
how do i solve for x
Answer:
55
Step-by-step explanation:
[tex]12.5=n-1.5[/tex]
Answer:
n=14
Step-by-step explanation:
12.5=n-1.5
-n=-1.5-12.5
-n=-14
n=14
A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. What is the probability that both pieces of fruit are apples.
Answer:
Answer as a fraction: 4/15
Answer as a decimal: 0.267
The decimal version is approximate rounded to three decimal places.
Step-by-step explanation:
6 apples, 4 peaches
6+4 = 10 pieces of fruit total
The probability of picking an apple is 6/10 = 3/5
After you pick and eat the apple, there are 10-1 = 9 pieces of fruit left. Also, the probability of picking a peach is 4/9, as there are 4 peaches out of 9 fruit left over.
Multiply out 3/5 and 4/9 to get (3/5)*(4/9) = (3*4)/(5*9) = 12/45 = 4/15
Using a calculator, 4/15 = 0.267 approximately.
The scale factor of the scale drawing of a mirror to the actual mirror is represented by the ratio 1 : 8 . If the dimensions of the scale drawing are 3 inches wide by 8.5 inches long, what is the actual area of the mirror?
Answer:
1,632
Step-by-step explanation:
Answer this correctly I'll give brainalist + 10 points
Answer:
55
Step-by-step explanation:
The line is 180 and 180-125=55
Help quick please im down bad
hope you get an answer, sorry im no help
Solve for n.
5 (n+11) = 5 • 9 + 5 • 11
Madeline has a headache and takes 500
milligrams of a pain reliever. The brand
of pain reliever she takes has a half-life
of 2.5 hours. Which function could be
used to describe the amount of pain
reliever remaining in Madeline's system
at any given time?
lol
Answer:
f(x) = 500(1/2)^x
Did this end up in the wrong category lol
Waitrose-
Budging-
Please answer ASAP
Answer: Budging because if you 3.25 + 2 = 5.25 and that
more than the Budging so therefore it's Budging.
and on Budging you get a discount.
Step-by-step explanation:
Which expression is equivalent to (3-4)+5
Answer:
4
Step-by-step explanation:
(3-4)+5
-1+5
4
Fran can type 297 words in 5.5 minutes. What is her typing speed in words per minute?
Answer:
54 word per minute
Step-by-step explanation:
Sam drove for 2 hours at 45 mph. He has the same distance remaining. How fast should he drive to make his average speed 60 mph?
Answer:
Step-by-step explanation:
2 hours at the speed of 45 mph = 90 miles in 2 hours
He should drive 60 miles per hour to make his speed 60 mph.
In figure 5, what are the values of x and y?
(4x - 12)
(7y+12)°
(12x+8)°
Answer:
sorry
Step-by-step explanation:
Where is the figure?
If f ( x ) = 1 3 x − 5 , what is f ( − 6 ) ?
Answer:
-4
Step-by-step explanation:
by finding the exact value.
The area of a poster board is (x2 + 9x - 10) square inches. Find the dimensions of the poster board If
x = 15.
Answer:
155 square inches
Step-by-step explanation:
(15)2+9(15)-10 or 30+135-10
The diagram shows the repairs preformed on two types of cars. Compare the car types using the median or mean.
Answer:
there is no diagram
Step-by-step explanation:
you will need to edit this question so that way we can see the diagram
Answer:
The median is the same for both car types, but Bandits have the lower mean.
Step-by-step explanation:
I took the Iready quiz and got the question right. Hope this helps!
Find the derivative of f(x)=4x+7 at x = 5.
Answer:
27
Step-by-step explanation:
f(x) is the same as y
if x=5 then you will multiply 5 by 4 which will give you 20
20 + 7 = 27
What is the formula for area of Parallelogram
Answer:
See below
Step-by-step explanation:
Area of parallelogram = base * height
Answer:
A= b×h
Step-by-step explanation:
b= base
h= height
hope it helped
find the sum of the measures of the angles of the figures
Answer:
Step-by-step explanation:
If the ratio of the interior angle to the exterior angle for a regular polygon is 5:1, find:a. the size of each exterior angle, b. the number of sides of the polygon, c. the sum of the interior angles
hope that help
mark me brill ?
Is the association between x and y positive or negative?
A. none B.positive C, negative
Answer:
A.non at all so, please choose the right answer
Answer:
A.non at all so, please choose the right answer
n + 9 = 14 solve isolate the variable
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
n + 9 = 14
=> n + 9 - 9 = 14 - 9. [For isolating the variable we subtract 9 from both sides]
=> n = 5 (Ans) [ Variable isolated]
State if each triangle is acute, obtuse,or right using Pythagorean theorem converse.
Answer:
Right triangle
Step-by-step explanation:
Properties for acute, obtuse or right triangle,
1). Given triangle will be a right triangle if,
Hypotenuse² = (Leg 1)² + (Leg 2)²
2). Triangle will be an acute triangle if,
(Largest side)² < (leg 1)² + (leg 2)²
3). Triangle will be an obtuse triangle if,
(Largest side)² > (leg 1)² + (leg 2)²
Now we apply these properties in the given triangle,
(Largest side)² = (√11105)²
= 11105
(leg 1)² = (76)²
= 5776
(leg 2)² = (73)²
= 5329
Since 11105 = 5776 + 5329 (First Property)
11105 = 11105
Therefore, given triangle is a right triangle.
Help please I don’t understand