Answer: 6(5+2)
Step-by-step explanation:
i got it riht on the heomwork assingment
Jake dives from a diving board that is 18 feet off the ground. He reaches a maximum height of 26 feet after 2 seconds. What is the standard and vertex formula of this quadratic equation and in how many seconds with Jake hit the water?
Answer:
The time it will take Jake to hit the water ia approximately 4.46 seconds
Step-by-step explanation:
The given parameters in the question are; feet
The height off the ground, of the diving board from which Jake dives, h₀ = 18 feet
g = The acceleration due to gravity
The maximum height Jake reaches, h = 26 feet
The time Jake takes to reach maximum height = 2 seconds
We have;
h = h₀ + u·t + 1/2·g·t²
v² = u² - 2·g·(h - h₀)
v = u - gt
u = gt
Where;
v = The final velocity
u = The initial velocity
t = The time taken
u = 9.81 × 2 = 19.62 m/s
The vertex form of a quadratic equation is f(x) = a(x - h)² + k², with the vertex = (h, k)
Substituting the values, gives;
26 = 18 + u·t - 1/2 × 9.81 × t²
8 = 19.62·t - 1/2 × 9.81 × t² = 19.62·t - 4.905·t²
19.62·t - 4.905·t² - 8 = 0
Therefore, the standard form is -4.905·t² + 19.62·t - 8 = 0
The coordinate of the vertex, is (2, 8), the vertex form is therefore;
-4.905(t - 2)² + 8
2) The time it will take Jake to hit the water is given as follows;
The height at which Jake meets the water = -18 feet from initial height
∴ -4.905·t² + 19.62·t - 8 = -18
-4.905·t² + 19.62·t - 8 + 18 = 0
-4.905·t² + 19.62·t + 10 = 0
t² - 4·t - 2.04 = 0
By the quadratic formula, we have;
t = (4 ± √((-4)² - 4 × 1 × -2.04))/(2×1)
t ≈ 4.46 seconds or t ≈ -0.46 seconds
∴ t ≈ 4.46 seconds
The time it will take Jake to hit the water ≈ 4.46 seconds.
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Answer:
2 ...................
Find the distance between the two points.
3. (-3, -1), (6, 2)
Answer:
Step-by-step explanation:
Give three examples of equations where there will be infinitely many solutions.
Answer:
1: y=x+1
2: x-2y=3
3: -3x+6y=-9
Step-by-step explanation:
4(x-3) = 1/2(x/2+5) one nine or infinity
9514 1404 393
Answer:
one
Step-by-step explanation:
The coefficients of x are ...
4 . . on the left
(1/2)(1/2) = 1/4 . . on the right
These values are different, so there is exactly one solution to this equation.
__
The solution is x = 3 13/15.
Find VT
If RT = 5x - 14 and US = 2x + 10, fine VT.
Answer:
I’m stuck
Step-by-step explanation:
Find each letter angle measurement. * Explain your reasoning for ex
54°
a
b
c
Step-by-step explanation:
a=54 v.o.a
a=b =54 alternative
c=b =54 v.o.a
In the fruit basket, there are 2 bananas, 4 apples, and 3 pears. What is the ratio of bananas to the entire bowl of fruit?
Answer:
2 : 9
Step-by-step explanation:
2 + 4 + 3 = 9
2 : 9
Will mark brainliest to right person
Answer:
4
Step-by-step explanation:
Answer:
4 because 8/2x1 then simplify
Step-by-step explanation:
[2(x + 10)1° What is the value of x? (3x - 30) Enter your answer in the box x=
Answer:50
Vertical Angle Relationships Quiz answers are
∠A and ∠B are vertical angles with m∠A=x and m∠B=5x−80.
What is m∠A?
Enter your answer in the box.=20
∠C and ∠D are vertical angles with m∠C=−3x+58 and m∠D=x−2.
What is m∠D? =13
∠E and ∠F are vertical angles with m∠E=5x+10 and m∠F=7x−12.
What is the value of x?
=11
What is m∠KNL? (5x+2) and [3(x+14)]=102
Step-by-step explanation: I took test and I got 100% if your looking for more answers here ya go. Hope this helps :D
Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads. Write an expression that represents the number of beads on each necklace. Show your work.
* Tip: Use this symbol (/) to show division
Answer:
(b-20)/4
Step-by-step explanation:
She had b beads initially and gave 20 to his sister;
what he would have now will be;
b - 20
So he made 4 beads with the remaining
To know the number of beads on each of the four , that will be dividing the number of beads we have left by 4
Mathematically;
that will be ;
(b-20)/4
a teacher earns 25000 a year and receives a 4% cost of living increase in salary and a $275 merit increase. His salary increased by
a. 4.5%
b. 4.9%
c. 5.0%
d. 5.1%
e. 5.2%
solve how you got it
Answer:
The asnwer is a. 4.5%
Step-by-step explanation:
.05 * 25000 + $275 = 4.5
You have a budget of $328 allocated for a gym membership. If it costs you $80 to join
the gym and $8.50 per month, how many months are you able to belong to the gym?
Answer:
You will only be able to go 29 months
Step-by-step explanation:
Exponential function f is represented by the table. x 0 1 2 3 4 f(x) 868 292 148 112 103 Function g is an exponential function passing through the points (0,800) and (4,0). Which statement correctly compares the two functions? A. Both functions are decreasing on [0, 4], but function g decreases at a faster rate. B. Only function g is decreasing on [0, 4], and only function f is positive on that interval. C. Both functions are decreasing on [0, 4], but function f decreases at a faster rate. D. Only function f is decreasing on [0, 4], and both functions are positive on that interval.
Answer:
The correct option is;
A. Both functions are decreasing on [0, 4], but function g decreases at a faster rate
Step-by-step explanation:
The given data are;
Table representing the exponential function f
x [tex]{}[/tex] f(x)
0 [tex]{}[/tex] 828
1 [tex]{}[/tex] 292
2 [tex]{}[/tex] 148
3 [tex]{}[/tex] 112
4 [tex]{}[/tex] 103
The points through which the exponential function g passes = (0, 800) and (4, 0)
Therefore, we have that both functions are decreasing on [0, 4]
The change in the values of f(x) on [0, 4] = 828 - 103 = 725
The change in the values of 8(x) on [0, 4] = 800 - 0 = 800
Therefore, g(x) decreases faster than f(x) on [0, 4] than f(x)
Answer:
A is the correct answer.
A line passes through the points (2,-4) and (6,10). What is the equation of the line?
Answer:
y = [tex]\frac{7}{2}[/tex] x - 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)
m = [tex]\frac{10+4}{6-2}[/tex] = [tex]\frac{14}{4}[/tex] = [tex]\frac{7}{2}[/tex] , thus
y = [tex]\frac{7}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 4) , then
- 4 = 7 + c ⇒ c = - 4 - 7 = - 11
y = [tex]\frac{7}{2}[/tex] x - 11 ← equation of line
If the sum (3x ^ 2 - 2x + 12) + (x ^ 2 + 8x - 2) is multiplied by 2x ^ 2 what is the result written in standard form ?
What are the solutions of 3(x – 4)(2x – 3) = 0? Check all that apply.
–4
–3
3
4
Answer:
4 and 1.5
Step-by-step explanation:
Refer to the picture that given
Answer:
3/2 and 4
Step-by-step explanation:
edg2020
(please help)
Consider the system of inequalities and its graph.
y ≥
y ≤ x – 3
On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 8, negative 2) and (0, 0). Everything above the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (3, 0). Everything to the right of the line is shaded. The section in quadrant 1 is labeled 3, the section in quadrant 2 is labeled 2, the section in quadrant 3 is labeled 1, and the section in quadrant 4 is labeled 4.
In which section of the graph does the actual solution to the system lie?
1
2
3
4
Answer:
3
Step-by-step explanation:
Test on 2020
Answer:
c) 3
Step-by-step explanation:
suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the equation of the parabola in vertex form
Answer:
f(x) = - 3(x + 8)² + 2Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the quadratic function with vertex (h, k)
the axis of symmetry at x = -8 means h = -8
the maximum height of 2 means k = 2
So:
f(x) = a(x - (-8))² + 2
f(x) = a(x + 8)² + 2 - the vertex form of the quadratic function with vertex (-8, 2)
The parabola passing through the point (-7, -1) means that if x = -7 then f(x) = -1
so:
-1 = a(-7 + 8)² + 2
-1 -2 = a(1)² + 2 -2
-3 = a
Threfore:
The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:
f(x) = -3(x + 8)² + 2
A physician tells her patient that her surgical incision will be 8 millimeters wide. How wide is the incision in inches?
Answer:
0.3149608 in. wide
Step-by-step explanation:
1 milimeter=0.0393701 inches
8x0.0393701=0.3149608in. wide
Answer:
0.315 inches
Step-by-step explanation:
1 millimeter = 0.1 cm
2.54 cm = 1 in
Now convert 8 millimeters to inches
8mm x [tex]\frac{0.1 cm}{1 mm}[/tex] x [tex]\frac{1 inch}{2.54 cm}[/tex] ; multiply across and divide and cancel units
[tex]\frac{0.8 inch}{2.54}[/tex] = 0.315 inches
Evaluate ab-0.5bab−0.5ba, b, minus, 0, point, 5, b when a=1a=1a, equals, 1 and b=5b=5b, equals, 5.
Answer:
2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
I'm having trouble with this assignment, more will be posted
Answer:
the answer is (b.)
Step-by-step explanation:
hope this helps <3 :))
xx
i need help with #4
anyone pls?
Answer:
C. 0 6 10
Step-by-Step-Explanation:
the number on the left of the indicated operation is the original set
the number '2' next to R shows that you need to multiply certain numbers by 2
the subscript on the R's shows which row the multiplication needs to be done on...
so in this case, leave the second row alone: 1 3 4
but multiply the first row by 2: 0 6 10
Can somebody plz help me answer this question plz!
Answer:
[tex]y=-x+9[/tex]
Step-by-step explanation:
This is asking you to write the equation in slope-intercept form:
[tex]y=mx+b[/tex]
where:
m is the slopeb is the y-interceptx and y are any corresponding coordinate points (x,y)You need to find the slope of the two given points using:
[tex](x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope[/tex]
Insert the values:
[tex](4_{x_{1}},5_{y_{1}})\\\\(-6_{x_{2}},15_{y_{2}})\\\\\frac{15-5}{-6-4} =\frac{10}{-10} =-\frac{10}{10} =-1[/tex]
The slope of the given line is -1. Insert this value into the equation:
[tex]y=-1x+b\\\\y=-x+b[/tex]
Now insert one of the given coordinate points as x and y to solve for b:
[tex](4_{x},5_{y})\\\\5=-4+b\\\\5+4=-4+4+b\\\\9=b[/tex]
The y-intercept is 9. Insert the value:
[tex]y=-x+9[/tex]
:Done
What is the value for y?
What is the graph of the function rule?
y = |3x| - 1
Answer:
Look below
Step-by-step explanation:
Answer:
When graphed, it should look like this.
Step-by-step explanation:
The - 1 in the equation means the line penetrates the y-axis as (0, -1)
3x tells us it has a slope of 3.
Zalia meets her friend at the science museum to see a special exhibition. The admission to the museum is $12.50 per person plus tax. Zalia pays for herself and her friend. They have lunch at the museum’s cafe. Zalia has a sandwich for $5.95, an apple for $1.25 and a drink for $1.69. She is charged tax and also tips her server 15%. If tax is 7.25%, how much did Zalia pay all total for her day at the science museum?
a.
$41.43
b.
$37.68
c.
$36.35
d.
$24.27
Please select the best answer from the choices provided
A
B
C
D
Answer:
The answer is B
Step-by-step explanation:
I just took the quiz on Edge
Amount Zalia pay all total for her day at the science museum is,
⇒ $37.68.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Now, Each admission ticket is 12.50 plus tax.
Here, 2 tickets at 12.50 each is
2(12.50) = 25
Hence, Tax for this is 7.25%;
7.25% = 7.25/100 = 0.0725;
So,
25+25(0.0725)
= 25(1.0725)
= 26.82
For lunch, she spent
5.95+1.25+1.69 = $8.89.
Tax for this would be 0.0725(8.89) = $0.64
15% tip on this would be 8.89(0.15) = $1.33
This gives us
8.89+0.64+1.33 = $10.86 for lunch.
Hence, This is a total of,
26.82+10.86 = $37.68.
Learn more about the addition visit:
https://brainly.com/question/25421984
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PLEASE HELP ME WITH THIS
Answer:
Yes, by SAS
Step-by-step explanation:
7k - 14 = 42
I need help solving this equation , can you help ?
The solution to the equation 7k - 14 = 42 is k = 8
Given data:
The expression is represented as 7k - 14 = 42.
To solve the equation 7k - 14 = 42, isolate the variable k by performing the necessary steps in a commanding tone.
Step 1: Add 14 to both sides of the equation to eliminate the -14 term on the left side:
7k - 14 + 14 = 42 + 14
On simplifying:
7k = 56
Step 2: Divide both sides of the equation by 7 to solve for k:
7k/7 = 56/7
k = 8
Hence, the solution to the equation k = 8.
To learn more about equations click :
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1.037 word form. Just some help
Answer:
one and thirty-seven thousandths
or simpler one point zero three seven
Step-by-step explanation:
