Answer:
9 seconds
Step-by-step explanation:
When the ball reaches the ground, the height, h(t), is 0. Might as well make the numbers easier to work with - since for the x-intercepts (t-intercepts), h(t) = 0, you can divide the entire equation by the greatest common factor, in this case -16, to make things better:
[tex]0=-16t^2+128t+144\\0=t^2-8t-9[/tex]
Now you can solve this any way you like, such as by using:
[tex]\frac{-b \± \sqrt{b^2-4ac}}{2a}\\[/tex]
This is an easy polynomial though, and you may be able to factor it just by eyeballing it:
[tex]0=t^2-8t-9\\0=(t-9)(t+1)\\t=9,-1[/tex]
You can't have negative time, so we reject -1, leaving only 9 as the answer.
how would i graph -2≤x<4
Answer:
Step-by-step explanation:
Like that on the graph but on the x axis
Answer:
I hope this helps!
Step-by-step explanation:
If ∠a = 85°, what does ∠b equal?
Answer:
the mesurement of angle b is°
Simplify the following expression (a³b)⁴
Answer:
a¹²b⁴
Step-by-step explanation:
When terms with exponents are multiplied, the exponents multiply.
(a³b)⁴ = a¹²b⁴
Answer: a^12b^4
Step-by-step explanation:
(a^3b)^4 = (a^3b) x (a^3b) x (a^3b) x (a^3b) = a^12b^4
If x^4-y^4=45 and x^2-y^2=5, then x^2+y^2=?
A. 9
B. 15
C. 20
D. 40
E. 50
Answer:
here u go
Step-by-step explanation:
i got a
Answer:
x^2 + y^2 = 9
What is the difference of square formula (a ^ 2 - b ^ 2)?It is used to find the difference between the two squares without actually calculation the square.
a^2 - b^ 2 = (a-b) (a +b)
x^4 - y^4 = 45
(x^2)^2 - (y ^2) ^ 2 = 45
(x^2 - y^ 2) (x^2 + y^2) = 45
5 (x^ 2 + y ^ 2) =45
x^2 + y^2 = 9
correct option is A ) 9
Learn more about difference of square formula
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Find the 12th term of the geometric sequence 8, 16, 32...
Answer:
a₁₂ = 16384
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 8 and r = a₂ ÷ a₁ = 16 ÷ 8 = 2 , then
a₁₂ = 8 × [tex]2^{11}[/tex] = 8 × 2048 = 16384
Answer:
16384
Step-by-step explanation:
We know that this is geometric sequence meaning we are multiplying the term before by a constant number.
We can see that 8 x 2 = 16 and 16 x 2 = 32. Meaning the number we are multiplying by is 2.
Terms:
We know that 8 is out first "term" so we don't multiply by anything. 16 is the second and we multiply 8 once to sixteen. 32 is the third and we multiply 8 twice by 2 to get to 32. We can see that the number of times we multiply is always 1 less that the term number.
We can write this equation. 8 x 2 ^ (n-1)
n is the term number.
This makes sense because we start with eight and multiply by two. We raise it to the n-1 power because we know we multiply 2 n-1 times to eight.
Answer:
Let's plug in our numbers!
8 x 2 ^ (12 - 1)
I use twelve because we're trying to figure out the 12th term.
8 x 2 ^ 11 = 16384
If you have a khan academy account I highly suggest you check out the unit about sequences in algebra 1! Good Luck
JoeLouis2
what is the simplify answer to 4 3/5 + 15 ÷ 1/5 =
Answer:
79.6
Step-by-step explanation:
4 3/5+15÷1/5
23/5+15÷1/5
4.6+15÷0.2
4.6+75
79.6
can someone please help!! 30 POINTS!!
Answer:
y = 5
Step-by-step explanation:
| x | means absolute value. That is number itself ( without the negative sign)
y = |x| - 6
y = | -11 | - 6
y = 11 - 6 = 5
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
angle B is 33 degree
Step-by-step explanation:
let angle A be x and angle D also be x.(because the base angles of ann isosceles triangles are equal)
x+x+48=180 degree(sum of interior angles of a triangle)
2x=180-48
x=132/2
x=66
therefore angle A and Angle D is 66 degree
angle A + angle C=exterior angle D (sum of two interior opposite angles are equal to the exterior angle formed)
66+48=exterior angle D
114 = exterior angle D
In triangle DCB
let angle C be y and Angle B also be y(bases angles of an isosceles triangle are equal)
y+y+114=180 degree(sum of interior angles of a triangle )
2y=180-114
y=66/3=2
y=33 degree
therefore angle B is 33 degree
What is 5x^3 - 15x^2 factored, completely?
Please show all the work!!
Answer:
5x²(x - 3)
Step-by-step explanation:
Factor out 5x²
5x²(x - 3)
Answer:
The answer is [tex]5x^{2} (x-3)[/tex].
Step-by-step explanation:
To completely factor [tex]5x^{3}-15x^{2}[/tex], start by factoring [tex]5x^{2}[/tex] out of [tex]5x^{3}[/tex], which will look like [tex]5x^{2} (x)-15x^{2}[/tex].
Next, factor [tex]5x^{2}[/tex] out of [tex]-15x^{2}[/tex], and it will look like [tex]5x^{2} (x)+5x^{2} (-3)[/tex].
Then, factor [tex]5x^{2}[/tex] out of [tex]5x^{2} (x)+5x^{2} (-3)[/tex], and the final completely factored form is [tex]5x^{2} (x-3)[/tex].
The answer ISN’T -9/5,3.
Don't have to explain, but if u want then to ahead.
Thank you! :)
Don't forget the square brackets.
=============================================
Work Shown:
[tex]|5x-3| \le 12\\\\-12 \le 5x-3 \le 12\\\\-12+3 \le 5x-3+3 \le 12+3 \ \text{ ... see note 1}\\\\-9 \le 5x \le 15\\\\-9\div 5 \le 5x\div 5 \le 15\div 5 \ \text{ ... see note 2}\\\\-1.8 \le x \le 3\\\\[/tex]
note 1: I added 3 to all sides to undo the "-3" in the middle.
note 2: I divided all sides by 5 to go from 5x to x (ie it undoes the multiplication on x).
--------------------
From there, we convert from compound inequality notation to interval notation.
Something in the form [tex]a \le x \le b[/tex] converts to the interval notation [a,b]
The square brackets say to include the endpoint.
So [tex]-1.8 \le x \le 3[/tex] converts to the final answer of [-1.8, 3]
x is any real number between -1.8 and 3, including both endpoints.
----------------------
It appears you had the right idea. You just needed to convert -9/5 to -1.8, and you also needed to surround everything with square brackets.
If your teacher wanted the answer in fraction form, then you would say [-9/5, 3]
n⋅(17+x)=34x−r solve for x
Answer:
x= -r-17n
n-34
thats a fraction btw
can someone help please...
Answer:
C. 8
Step-by-step explanation:
You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:
4*2= 8
can someone pls answer and explain this correctly?
Answer:
[tex]6^4[/tex]
Step-by-step explanation:
All you have to do for this is follow PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Substraction) Which is the order of operations.
First you do parenthesis, [tex](2^2)^2[/tex], when you have a positive exponent outside a parenthesis like this, you add them together, and in this case, you get, [tex](2^2)^2=2^4=16[/tex]
After that, you do the rest of the exponents as well as multiplication, [tex]3^4=81[/tex].
Now we plug in the 81 from our last step along with the 16 from the first step and multiply them together. [tex]3^4*(2^2)^2=81*16=1296[/tex]
Then you just simply need to find which of the answers come out to be the result we got which is 1296. Out of these 4 possible answers, [tex]6^4[/tex] ends up being equal to 1296 which means that is the correct answer.
Answer:
6^4 is equivalent to 3^4 x (2^2)^2
Step-by-step explanation:
3^4 x (2^2)^2 6^8 = 1679616
3^4 x (4)^2 6^4 = 1296
81 x 16 5^4 = 625
1296 5^8 = 390625
find the sum of (2x-12) from x=7 to x=16
Answer:
it's 2 obviously
Step-by-step explanation:
thanks
If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K’(2,5)
K’(-2,-5)
K’(-5,2)
K’(2,-5)
You and your friends decide to go to the recreation center to play pickup basketball. You decide to play the game 21 where a layup equals 1 point and a jump shot equals two points. You made 11 layups and need to decide how many jump shots you need to make in order to win… Remember that you must not go over 21 points or you lose.
Answer:
5 jump shots.
Step-by-step explanation:
Let l = number of layups and j = number of jump shots
l + 2j = 21
11 + 2j = 21
2j = 10
j = 5
5 jump shots are needed to win the game and not go over 21 points.
hi pls help me out with this
22. Jordan invests $1000 in an account that pays 7% interest compounded continuously. To the nearest cent, how much will be in the account at the end of 3 years? Use A = Pe! $1233.68
$4352.05
$6122.97
$8166 17
Answer:
The formula to find interest over time is I=PRK
so 210=1000*0.07*3
add 210 to 1000 and we get 1210 so idontknow now now the the answers make any since s0rry
Find the common difference of the arithmetic sequence.
0, 0.4, 0.8, 1.2, . . .
Who knows the answer fr cause everybody keep giving the wrong answer
Find the greatest common factor of 15y^4 and 14y^2
Answer:
y^2
Step-by-step explanation:
Here, we want to get the greatest common factor
Looking at the two, 14 and 15 has no common factors
So, we shift focus to the y raised
We have this as ;
y^2( 15y^2 + 14)
Thus, y^2 is the common factor
Find the dilated coordinates with the centre of (0,2) and scale factor of 3 for the point D(2, 2).
i neeeddd this pleaseee and thank u
Answer:
(6, 2)
Step-by-step explanation:
xD' = (0-0) + (3×2) = 0+6 = 6
yD' = (2-0) + (3×0) = 2+0 = 2
the dilated coordinate D' (6, 2)
Answer:
6 and 2 pls answer my questions plss
Math problem please
Helppp meee please!!
Vertical stretch
Hope this helps! :)
(x-8)^2+(y+4)^2=12 find the coordinates of the center and the Measure of the radius for a circle
Answer:
Center: (8, -4)
Radius: 2√3
General Formulas and Concepts:
Algebra I
Coordinates (x, y)Pre-Calculus
Circle Center-Radius Equation: (x - h)² + (y - k)² = r²
(h, k) is centerr is radiusStep-by-step explanation:
Step 1: Define
Identify
(x - 8)² + (y + 4)² = 12
(h, k) = (8, -4)
r² = 12 → r = √12 = 2√3
What is an equation of the line that passes through the points (3, -3) and (6, -1)?
How many solutions are there to the following equation?
2(x + 1) = 2x + 1
A. O
B. 1
C. Infinitely many
Help please ASAP ASAP
Answer:
-1/12
Step-by-step explanation:
The slopes of perpendicular lines are equivalent to -1.
Answer:
-1/4
Step-by-step explanation:
Subtract 12x from both sides to get -3y=-12x+81
Divide both sides by -3 to get y=4x-27
Take the negative reciprocal of 4, which is -1/4
Answer my question its urgent
Answer:
Step-by-step explanation:
Hope this helps u!!
Which of the following tables represents a function?
Answer:
The last one
Step-by-step explanation: