Answer:
Y=x+8
Step-by-step explanation:
Please take a look at the picture
Answer:
D) The number that is 5 to the right of -6 on the number line
Hope this helps :)
Suppose `h\left(t\right)=-5t^{2}+10t+3`is an expression giving the height of a diver above the water (in meters), t seconds after the diver leaves the springboard.
a. How high above the water is the springboard? Explain how you know.
Answer:
Step-by-step explanation:
a) The height of the springboard above the water should be h(0) : Read, the height at t = 0
h(0) = -5(0) + 10(0) + 3
h(0) = 0 + 0 + 3
h(0) = 3
a) 3 meters
b) The time it takes the diver to hit water should be, the positive 0 solution for t. Remember, in a quadratic equation, there are two values for t where a parabola crosses the horizontal axis, which in this case would be t. Just by looking at the function, h(t) = -5t2 + 10t + 3 , one should be able to see that it cannot be factored easily, so it requires the Quadratic Formula to find the zeros ; x = -b ±√(b2-4ac) / 2a
Substitute t for x, and use the coefficients for a, b, c:
t = (-10 ± √((102 - 4(-5)(3)))/2(-5)
t = (-10 ±√(100 + 60))/-10
t = (-10 ±√160)/-10) ; Now factor the 160 to simplify:
t = (-10 ±√(10*16))/-10
t = (-10 ±4√10)/-10 ; Factor out leading coefficient of -2 from the numerator:
t = -2(5 ± 2√10)/-10
t = (5 ± 2√10)/5
Using a calculator to find the zeros, and disregarding the negative zero (because t starts at 0):
t ≈ 2.265
b) approx. 2.265 seconds for diver to hit water.
c) To find this, set the function equal to 3 to find what other value for t would be equal to 3 (we know one is 0).
-5tt + 10t + 3 = 3
-5t2 + 10t = 0 ; factor out t
t(-5t + 10) = 0
We know t = 0:
We also know that -5t + 10 = 0
-5t = -10
t = 2
c) 2 seconds. This is the time that diver would equal height of t=0 which is where he started, and where he equals the height of the springboard.
d and e) The peak of the dive (parabola), is determined using the formula h = -b/2a (Derived from the Quadratic Formula) to find the y value (in this case, the h value, answering e) and then using that result in the function to find the x value (in this case, the t value answering d) of the point where the parabola (dive path) reaches a maximum(height), or minimum(in upward opening parabolas).
h = -10/2(-5)
h = -10/-10
h = 1
h(1) = -5(1)2 + 10(1) + 3
h(1) = -5 + 10 + 3
h(1) = 8
d) At t = 1 second, diver will have reached peak of dive.
e) At t = 1 second, diver will have reached a maximum height of 8 meters.
A line that passes through the points (12,12) and (20,6)
Answer:
8,48 I think
Step-by-step explanation:
I subtracted them from each other
The required equation of the line is given as y = -6x / 8 + 21.
Given that,
A line that passes through points (12,12) and (20,6)
The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
Standard equation of the line,
y -y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the point in the above equation,
y - 12 = (6-12)/(20 - 12)[x - 12]
y = -6/8[x - 12] + 12
y = -6x/8 +9 + 12
y = -6x / 8 + 21
Thus, the required equation of the line is given as y = -6x / 8 + 21.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
Triangle abc is similar to triangles def ghi and jkl the scale factors for the dilations that show triangle abc is similar to each triangle are in the table
Find the side lengths of triangles def ghi and jkl record them in the table
x-10/3=5x+2/2 I need help with he next step please
Answer:
x2 the left side and x3 the right side of the equation
Answer:
X = -2
First you cross multiply, and then you expand to get 15x+6
after that its basic algebra with adding/subtracting from each side, simplifying, and then divide both sides by -13.
Hey everyone! Can you help me out with this(for those wondering, these are test corrections, I plan to do half today and half tomorrow)
State whether the following relation is a function.
Answer:
no its not since some dots are above each other and fail the vertical line test
Hope This Helps!!!
Answer:
no the x value repeat
Step-by-step explanation:
please help me calculation completing square?
x²+2x-24=0?
Answer:
x = 4, -6
Step-by-step explanation:
x = 4, -6
a car travels 55 miles per hour for 2 hours. How far did it travel in 1 1/2 hours
Answer:
82.5 miles in 1 1/2 hours
Step-by-step explanation:
Using the information the question gives us we can find the appropriate answer to this question by dividing the miles per hour by two, and then add that number to the additional miles per hour.
55 miles = one hour
2 hours = 110 miles
1 1/2 hours = 55 ÷ 2 = 27.5
55 + 27.5 = 82.5 miles
82.5 miles
Hope this helps
cosθ(tanθ + cotθ) =
• cscθ
• secθ
• cos^2θ
• 1
Answer:
ayo i think is ufo trying to communicate hey alien we come in peace
Step-by-step explanation:
[tex]\cos \theta(\tan \theta + \cot \theta)\\\\=\cos \theta \tan \theta + \cos \theta \cot \theta \\\\=\cos \theta \left (\dfrac{\sin \theta}{\cos \theta} \right)+ \cos \theta \left(\dfrac{\cos \theta}{\sin \theta} \right)\\\\\\=\sin \theta + \dfrac{\cos^2 \theta}{\sin \theta}\\\\=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta}\\\\=\dfrac 1{\sin \theta}\\\\=\csc \theta[/tex]
help any body plzs i will give brianlyest
- BRAINLIEST answerer
answer fully please //////////
Answer:
yes,the distributive property can be rewrite as i have given below:
(8×8)-(8×4)
2yx= 4 is it a linear function?
Answer:
No, it is not a linear function, rather a rational function
Step-by-step explanation:
Because the term on the left-hand side contains both x and y, then neither variable varies directly with the other, hence, it's a rational function:
2yx=4
yx=2
y=2/x
What is 6/9 divided by 1/3
Answer:
2
Step-by-step explanation:
6/9÷1/3
Keep Change Flip
6/9 x 3/1
Multiply.
6/3
=2
Hope this helps :)
Answer:
2
Step-by-step explanation:
we have[tex]\frac{6/9}{1/3}[/tex] . dividing by a fraction is the same as multiplying by the reciprocal. so [tex]\frac{6/9}{1/3}[/tex]= (6/9) * 1/(1/3) = (6/9) * 3. we can also simplify 6/9 to 2/3 by taking 3 out of the numerator and denominator. now we have (2/3) * 3 which equals 2
what is the probability of a person randomly selecting an apple pie, eating it, then selecting another apple pie
Answer:
if its me then i will bye the store. but the answer is 50%
Step-by-step explanation:
geomtry plzzzz help 15 points
Answer:
True.
Step-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. this makes it possible for the triangle to be formed.
y/x dy/dx=(1+x^2)^-1/2(1+y^2)^1/2
Answer:
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c
Step-by-step explanation:
This is separable.
Multiply x dx on both sides and divide both sides by (1+y)^(1/2) to obtain:
y/(1+y)^(1/2)=(1+x)^(-1/2) x dx
Using law of exponents to get rid of negative exponent by finding reciprocal:
y/(1+y)^(1/2)=x/(1+x)^(1/2) dx
Let u=(1+y)^(1/2).
Then u^2=1+y.
Differentiate: 2 u du=dy
[Let v=(1+x)^(1/2).]
Plug in our substitution:
(u^2-1) 2u du/u=(v^2-1) 2v dv/v
Simplify:
(u^2-1) 2 du=(v^2-1) 2 dv
Integrate both sides:
(u^3/3-u) 2+L=(v^3/3-v) 2+K
Divide both sides by 2:
u^3/3-u +L/2=v^3/3-v+K/2
K/2-L/2 is just a constant value C:
u^3/3-u=v^3/3-v+C
Use substitution again to put back in terms of x and y:
((1+y)^(1/2))^3/3-(1+y)^(1/2)=((1+x)^(1/2))^3/3-(1+x)^(1/2)+C
Simplify the exponent part a bit:
(1+y)^(3/2)/3-(1+y)^(1/2)=(1+x)^(3/2)/3-(1+x)^(1/2)+C
I don't like the division by 3 so multiply both sides by 3:
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+3C
3C is still just an unknown constant, c.
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c
What are 5 rules to follow in a science lab?
Answer:
Step-by-step explanation:
1. Wear safety glasses
2. Be accompanied by an adult
3. Wear proper lab clothing
4. Alert Lab instructor if an accident were to happen
5. Follow all instructions given by lab instructor
Help help help help help help
Answer:
70.2
Step-by-step explanation:
28.08 / 0.4 = 70.2
Find the accumulated value of an investment of $2000 at 8% compounded continuously for 4 years
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000e^{0.08\cdot 4}\implies A=2000e^{0.32}\implies \boxed{A\approx 2754.26}[/tex]
The student government snack shop sold 64 snacks this week. 8 of the snacks sold were fruit cups. What percentage of all snacks sold were fruit cups?
Rewrite the equation as a division equation.
Answer:
8/64 = 0.125 = 12.5%
Step-by-step explanation:
8/64 = 0.125 = 12.5%
3. If Superman can fly .25 miles in 8 seconds, how far could he fly in...
(a) 40 seconds?
Answer:
1.25 miles
Step-by-step explanation:
0.25 miles = 8 seconds
x miles = 40 seconds
0.25/8 = x/40
0.25 * 40 = 8x
10 = 8x
x = 1.25
-Chetan K
What is 11% of 96 students
Answer:
8.7
Step-by-step explanation:
8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7
Answer: 3x10^2 mi
example:
Answer:
3000
Step-by-step explanation:
Answer:
300
Step-by-3step explanation:
The table shows two ways to mix red paint and white paint to make the same shade of pink. How many cups of red paint should be added to 1 cup of white paint to make the same shade of pink?
This is the answer which is not right because this is for points...
a line has a slope of -19/8 and passes through the point (0,12). what is its equation in slope intercept form
Answer:
y=-19/8x+12
Step-by-step explanation:
Slope intercept form is
y=mx+b
m is slope
b is y-intercept
So we already know what the slope is so we can plug that in
y=-19/8x+b
Now with the point we can substitute x and y with the point values
[Remember a point is (x,y)]
0 is x
12 is y
12=b
So the slope intercept form of this is
y=-19/8x+12
Hope this helps!
Can some help please
Answer:
9×10^16
Step-by-step explanation:
Only if the power is the same, you can just add the first numbers
You just need to combine.
The rule (a) = a tells us we can just remove the parenthesis.
2*10^16 + 7*10^16
That would equal to 9 x 10^16 because when adding exponents, you keep them the same.
figure b is a scaled copy of figure a
Step-by-step explanation:
figure B is a scaled copy of figure B
by scale factor : 1/2
if you get it right ill mark brainliest
Answer:
Step-by-step explanation:
? i cant see what the page is
The points in the table lie on a line. Find the slope of the line
Answer:
click the button and use it as and use it
Find the domain of the function.
f(x) = -5x + 3
Enter a problem...
Calculus Examples
Popular Problems Calculus Find the Domain and Range f(x)=5x-3
f
(
x
)
=
5
x
−
3
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
y
|
y
∈
R
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
∞
)
,
{
y
|
y
∈
R
}
