The zero of the equation [tex]6 =- 16x^2+24x+1[/tex] represents the moment when the ball is 6 ft above the ground.
Given that,
The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,
[tex]\rm y=- 16x^2+24x+1[/tex]
We have to determine,
What information does the zero of the equation [tex]6 =- 16x^2+24x+1[/tex]represent?
According to the question,
In the quadratic equation for the ball's height, it is found that the zero of the equation represents,
[tex]\rm 6 =- 16x^2+24x+1[/tex]
The instant of the time x is when the ball is 6 ft above the ground.
The height of the ball is y(x), after x seconds, is modeled by:
[tex]\rm y =- 16x^2+24x+1[/tex]
The equation given is,
[tex]\rm y =- 16x^2+24x+1[/tex]
In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.
Hence, These points represent the moment when the ball is 6 ft above the ground.
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“ Use what you know about function notation to complete the statements “ PLS HELPP
Step-by-step explanation:
I don't know the options to pick from.
the 2 main possibilities coming to my mind are
y = f(x)
or
(x, f(x)) or (x, y)
there is no specific function coming to mind. the functional values bounce around above and below the x-axis (positive and negative y-values) with not detectable pattern related to the x values.
the other 2 questions can be found directly in the table :
f(3) means f(x) with x=3, and that is -2
and f(x) = -5 is true, when x = 4
i need help with this!!
Answer:
[tex]x<-4[/tex]
Step-by-step explanation:
[tex]8x-4<-36\\\Add\:}4\mathrm{\:to\:both\:sides}\\8x-4+4<-36+4\\\mathrm{Simplify}\\8x<-32\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{x}:x\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{8}=1\\=x\\Simplify\\\frac{-32}{8} \\[/tex]
Apply the fraction rule
[tex]=-\frac{32}{8}\\Divide\\ \frac{32}{8} = x=-4\\x<-4[/tex]
Topic 1: Translate
The sum of twice a number and 9 is -25."
Answer:
2n + 9 = - 25
Step-by-step explanation:
let the number be n then twice the number is 2n
The sum of 2n and 9 is 2n + 9
the result is - 25 , that is
2n + 9 = - 25
Answer:
x=-17Step-by-step explanation:
The sum of twice a number and 9 is -25."
2x + 9 = -25
2x = -34
x = -17
-----------------------------------------
check
2 * (-17) + 9 = -25
-25 = -25
the answer is good
Karen's mother gets a restaurant bill for $25 she has a coupon for 15% off after the discount is applied she adds 20% as a tip what is the total after the discount and tax
Answer:
$25.50
Step-by-step explanation:
with a 15% off coupon she is paying 85% of the $25 bill, which is:
.85 x 25 = 21.25
if she adds a 20% tip on 21.25 then we can do the following:
1.2 x 21.25 to get the total after the discount and with tax:
$25.50
Write an equation for a line parallel to the line y = 1/3 * x - 4 that passes through (- 3, 2)
Answer:
B. y = 1/3x + 3
Step-by-step explanation:
Answer: I think the answer is B
Given Polynomial:
5x-4x^2+3
Solve for x=0
[tex]\huge \rm༆ Answer ༄[/tex]
Plug the value of x as 0 in the given Polynomial ~
[tex] \sf5x - 4 {x}^{2} + 3[/tex][tex] \sf(5 \times 0) - (4 \times 0 {}^{2} ) + 3[/tex][tex] \sf0 - 0 + 3[/tex][tex] \sf3[/tex]Therefore , the equivalent value is 3
What is the solution to y=12
Answer:
y=12
Step-by-step explanation:
This equation cannot be simplified further.
Hope this helped! :)
Your teacher will grade your response to ensure you receive proper credit for your answer.
Explain how to find the degree of a polynomial.
please....help...
Answer:
Step-by-step explanation:
Degree is defined as the highest power of the polynomial function.
The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.
The polynomial function has n roots or zeroes.
Consider a polynomial function
The highest power of the polynomial function is 4.
Therefore, the degree of the polynomial function is 4.
Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.
The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.
A circle has a radius of 6. 87 feet. What is the circumference of this circle? Use 3. 14 for pi. Round your final answer to the nearest tenth. Enter your answer as a decimal in the box.
The circumference of this circle to the nearest tenth is equal to 43.1 feet.
Given the following data:
Radius = 6.87 feetPie = 3.14To determine the circumference of this circle to the nearest tenth:
Mathematically, the circumference of a circle is given by the formula:
[tex]C = 2\pi r[/tex]
Where:
C is the circumference of a circle.r is the radius of a circle.Substituting the given parameters into the formula, we have;
[tex]C = 2 \times 3.14 \times 6.87[/tex]
Circumference = 43.1 feet.
Read more: https://brainly.com/question/24568309
Any polygon with two pairs of parallel opposite sides is a parallelogram
Answer:
It is false that any polygon with two pairs of parallel opposite sides is a parallelogram. Let's understand the answer in detail. Explanation: ... There can be other polygons that have more than 4 sides but have only two pairs of parallel sides, which can't be called a parallelogram.
Step-by-step explanation:false.
Need help with how to write the standard form of a slope in general.
Please explain, thank you!
Answer:
Hey there! Hope this helps a little!
Step-by-step explanation:
So to begin with the standard slope form equation is Ax+By=C
Lets say the question is 2x+3y=12 what you wanna do first is get y all by its self so what you so is subtract 2x from 2x what you do to one side make sure to do it on the other side subtract 2x from 12
Now you will have -2x/3+12/3
Solution is y=-2/3x+4 please let me know if you need further help!
Given that a/b=3/5 and b/c=4/5
Find a:b:c giving your answer in its simplest form
Answer:
12 : 20 : 25
Step-by-step explanation:
Express the ratios in terms of a
[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
3b = 5a ( divide both sides by 3 )
b = [tex]\frac{5}{3}[/tex] a
[tex]\frac{b}{c}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )
4c = 5b ( divide both sides by 4 )
c = [tex]\frac{5}{4}[/tex] b = [tex]\frac{5}{4}[/tex] × [tex]\frac{5}{3}[/tex] a = [tex]\frac{25}{12}[/tex] a
Then
a : b : c
= a : [tex]\frac{5}{3}[/tex] a : [tex]\frac{25}{12}[/tex] a ( multiply each part by 12 to clear the fractions )
= 12a : 20a : 25a ( divide each part by a )
= 12 : 20 : 25
simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0
Answer:
[tex]\boxed{\sf\: B)\:3^{12}}[/tex]
Step-by-step explanation:
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]
Apply exponent rule:
[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex][tex]\sf 3^{2+4+6}[/tex]Add the numbers:
[tex]\sf 2+4+6=12[/tex][tex]\sf \:3^{12}[/tex]________________________________
I HAVE 2 LEFT PLEASE HELP WILL GIVE BRAINLIEST
Dracos invested $125,000 in 2008. Each year its value increased by 5%. Which of the following equations can be used to represent the investment value after x years.
Group of answer choices
f(x)=125,000(1.05)x
f(x)=15(125,000)x
f(x)=125,000(0.85)x
f(x)=85(125,000)x
Answer:
f(x)=125k(1.05)x
Step-by-step explanation:
ommg
ok so every year it increase by 5%, aka 105%
which is 125k*105/100x which is the first one f(x)=125k(1.05)x
if u are not sure than use cross of elinimation
cant be 2nd one cause its not correct
third one ur decreasing
fourth one is just like the 2nd one
I NEED HELP FOR 3 AND 4 PLEASE I GIVE 30 POINTS.
Answer:
Number 3 is 10
Step-by-step explanation:
16+13(10)=146
14(10)+6=146
Answer:
See answer below.
Step-by-step explanation:
# 3 x = number of boxes
$16 + 13x = Tracy cost
$6 + 14x = Brendan cost
The costs are equal.
16 + 13x = 6 + 14x
10 + 13x = 14x
10 = x
#4 First plan second plan
x = number of people at a table x = number of people at a table
y = number of people at a booths y = number of people at a booths
24x + 21y = 270 multiply by 23 ⇔ 552x + 483y = 6210
14x + 23y = 222 multiply by -21 ⇔ -294x - 483y = -4662
258x = 1548
x = 6
Six people at each tables
24 (6) + 21y = 270
144 + 21y = 270
21y = 126
y = 6
Answer: 6 people at each table; 6 people at each booth.
Change 2.33 to a simplified fraction. Round to the nearest hundredth.
Answer: 233.00
Step-by-step explanation: In this case, Rule I applies, so 233/1 (or 233.000) rounded to the nearest hundredth in decimal format is:
Sarah use a gift card to buy for $47 worth of food she has $18 left on her gift card write an equation to represent a situation
Answer: 1.50
Step-by-step explanation:
The sum of a number f and 9 is equal to 38. Write an equation to represent this situation.
Kim rented skates for h hours. The rental fee was $2 per hour. She paid a total of $8. Write an equation to represent this situation.
The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Write an equation to represent this situation.
John is paid $8 more than the number of bags of peanuts he sells at the baseball stadium. The table given below shows the relationship between the money John earns and the number of bags of peanuts John sells. Identify the independent and dependent variables, and write an equation to represent this situation.
A taxi charges a flat rate of $3, plus an additional $1.50 per mile. Write an equation to represent this situation.
It took a cheetah 45 minutes to run from Jungle A to Jungle B.
Its average speed was 80 km/h. Find the distance between
the two jungles.
so you need to find 3/4 of 80 (60 Km/h)
and since 45 minutes is 3/4 of an hour
your answer is (60 Km/h)
Answer:
The distance between the two jungles is 60 km
Step-by-step explanation:
cheetah is going 80km/hr or (80km/60min)
using this 45min is 3/4 of 60 min
and 3/4 of 80km is 60km
So basically
[tex]\frac{80km}{1hr} = \frac{80km}{60min} * \frac{0.75}{0.75} = \frac{60km}{45min}[/tex]
simplify. rewrite the expression in the form 5^n
(5^-8) (5^-10)
Answer:
5^-18 or 1/(5^18)
Step-by-step explanation:
(5^-8) (5^-10)
= 5^(-8 + -10)
= 5^-18
or 1/(5^18)
Write an equation of the line that passes through (0, 6) and is parallel to y=5x-3
Y=
Answer:The answer should be y = 5x + 6
Step-by-step explanation:
How many petrol tanks of capacity 1.2 * 10 ^ 4 litres each are required to empty 4.8 * 10 ^ 5 litres of petrol?
Answer:
40
Step-by-step explanation:
The number of tanks required is ...
(4.8·10^5 L)/(1.2·10^4 L/tank) = (4.8/1.2)·10^(5-4) tanks
= 4·10 tanks = 40 tanks
What is another way to represent 3%?
A) 0.3
B) 3
C) 0.03
D) 3/10
it's C 0.03
0.03= 3%
0.30= 30%
3.00= 300%
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
Answer:
y= -10x-24
Step-by-step explanation:
To write the linear equation, first find the slope.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let's pick the first two x and y values as our coordinate points.
(1, -34) (2, -44)
[tex]\frac{-44-(-34)}{2-1} =-10[/tex]
The slope is -10.
Use the point-slope formula to write the equation.
y-y1= m(x-x1)
y-(-34)= -10(x-1)
y+34= -10x+10
y= -10x-24
Which bottle of water costs more per ounce: a 12
ounce bottle for $1.25 or a 16 ounce bottle for
$1.50?
I really need help with this!
Answer:
the second bottle
Step-by-step explanation:
To get the amount it costs per ounce, divide the amount of money by the number of ounces.
A water bottle that costs $1.25 for 12 ounces costs roughly 10 cents per ounce. A water bottle that costs about 9 cents per ounce.
therefore, the 16 ounce bottle is cheaper per ounce
What is the value of x
Answer:
x = 5
Step-by-step explanation:
Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is
[tex]\frac{AB}{DC}[/tex] = [tex]\frac{EA}{ED}[/tex] , substitute values
[tex]\frac{10}{4}[/tex] = [tex]\frac{2x+10}{x+3}[/tex] ( cross- multiply )
10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides
10x + 30 = 8x + 40 ( subtract 8x from both sides )
2x + 30 = 40 ( subtract 30 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
which is a line of symmetry
Answer:
is there a pic?
Step-by-step explanation:
we are able to see
3/10+21/100 as a fraction
Answer:
51/100Step-by-step explanation:
3/10 + 21/100=> 30/100 + 21/100=> 51/100Conclusion:
Therefore, 3/10 + 21/100 equals 51/100 as a fraction.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
0.51000 which as smaller is 0.51
Step-by-step explanation:
simplify 21/ 100 then add 3/10 + 21/100 then simplify 3/10 then you would do 3×10+21/100 which equals 51/100
24a - 12b HELP Me PLZ
solve the equation using elimination
Answer:
1 1/3
Step-by-step explanation:
you would take 3x+2y=7 and put y=-3x+11 in place of y so it would be 3x+2×-3x+11=7
given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line. PLEASE! Helppp
Answer:
(-6,-5)
Step-by-step explanation:
y2-y1
x2-x1
subtract then you get the answer