Answer:
To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.
Step-by-step explanation:
Hope this helps!!!!!
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Nate tosses a ball up a hill for his dog to chase. The path of the ball is modeled by the function y=- 1 4 x^ 2 + 33 5 x. , where x is the ball's horizontal distance from Nate in feet and y is the ball's height in feet. The hill is modeled by the line y = 1/5 * x . How far does the ball travel horizontally before it hits the ground? (in feet, round to tenth place if necessary )
Answer:
The ball's horizontal distance from Nate in feet when the ball hits the ground is 25.6 feet
Step-by-step explanation:
The given equation that represents the path of the ball is y = -1/4·x² + 33/5·x
The equation of the that models the hill is y = 1/5 × x = 1/5·x
Where, x represents the ball's horizontal distance from Nate in feet and y represents the ball's height in feet
To find the point of contact, we equate both equations to find the common solutions as follows;
-1/4·x² + 33/5·x = 1/5·x
-1/4·x² + 33/5·x - 1/5·x = -1/4·x² + 32/5·x = 0
-1/4·x² + 32/5·x = 0
0 = 1/4·x² - 32/5·x
1/4·x² - 32/5·x = 0
x·(1/4·x - 32/5) = 0
x = 0 or 1/4·x - 32/5, and x = 32/5 × 4 = 128/5 = 25.6
The ball's horizontal distance from Nate in feet = x = 25.6 feet
The ball's horizontal distance from Nate in feet when the ball hits the ground is 25.6 feet.
How do you find the equation of a trend line?
Hi. I need help with these questions.
See image for question.
Answer 16 and 17
Step-by-step explanation:
16.................................................
GivenEquation ax² + bx + c = 0One of the roots is twice the otherTo findShow that 2b² = 9acSolutionLet the roots be p and q
The sum and product of the roots:
p + q = -b/apq = c/aThe sum of the roots, considering p = 2q,
p + q = 2q + q = 3qAnd
3q = -b/a ⇒ q = -b/(3a)The product of the roots, considering p = 2q:
pq = 2q(q) = 2q²And
2q² = c/aSubstitute q with -b/(3a)
2(-b/(3a))² = c/a2b²/(9a²) = c/a2b² = 9a²(c/a)2b² = 9ac=================================================
17. .................................................
GivenQuadratic equation
ax² = bx + c = 0, with equal rootsTo findShow that b² = 4acSolutionEqual roots means the discriminant is zero:
D = √b² - 4ac√b² - 4ac = 0b² - 4ac = 0b² = 4ac) Work out
e-f
Simplify your answer.
find the derivative dy/dx for y=x2-2x/x3+3
The sum of two numbers is 56, and their difference is 10. What are the numbers? A. 33 and 23 B. 30 and 26 C. 20 and 36 D. 20 and 30
Answer:
A. 33 and 23
Step-by-step explanation:
33 and 23 have a sum of 56 and a difference of 10, so the answer is A. 33 and 23
Answer:
C
Step-by-step explanation:
Alexa and Daniel , two students of middle school together collected $20 from the students for annual function of their school . Write a linear equation for this and draw a graph to depict the statement .
Answer:
x + y = 20
Step-by-step explanation:
Let the amount collected by Alexa = $x
& the amount collected by Daniel = $y
Total amount collected = $20
Therefore,
x + y = 20
Write an equation of the line in slope-intercept form.
Answer:
your answer is correct and it is in slope intercept form because it had no intercept.
Step-by-step explanation:
What number can you add to ∏ to get a rational number?
A) 2
B) 0
C) -∏
D) 1/∏.
Answer:
I believe the answer to be option C.
Step-by-step explanation:
I took the Unit Test! :)
I really hope this is correct, let me know!
what is the kinetic energy in chem
Answer:
kinetic energy is the energy that allows a person to have free movement
If there is 2 circles and the larger one has a circumference of 30pi and the smaller circle has a circumference of 10 what is the radius of the smaller circle
Answer:
ehhhh it's either 5or 1.59 I'm not sure Wich
Step-by-step explanation:
sorry good luck
If the length is four times the width. Find the dimensions of a rectangle with a
perimeter of 110
Answer:
width is 11, length is 44
Step-by-step explanation:
width = x
length = y
y= 4x
P = 2x + 2y
110 = 2x + 2(4x)
110 = 10x
x=11
y = 44
width is 11, length is 44
Could you help me solve this?
Answer:
a and b shows a solution all you have to do is place the numbers in x value and see if it makes sense for example 8>9 is not a solution but 9> 8 that is a solution so c cannot be a solution
Step-by-step explanation:
Answer:
its a and b
Step-by-step explanation:
Is triangle ABC a right triangle?
no, because none of the slopes of the line segments forming the legs are opposite reciprocals
no, because none of the slopes of the line segments forming the legs are equal
yes, because BC is perpendicular to AC
yes, because AB is perpendicular to AC
Answer:
yes because BC is perpendicular to AC
Step-by-step explanation:
BC slope is 6/2 which is 3
AC slope is -3/9 which reduces to -1/3
3 and -1/3 are opposite reciprocals and therefore the lines are perpendicular
Answer:
C yes, because BC is perpendicular to AC
Step-by-step explanation:
Write the vertex form equation for the graph shown.
Answer:
The vertex form equation for the given graph is y = -(x - 2)² + 2
Step-by-step explanation:
The vertex form of the quadratic equation is y = a(x - h)² + k, where
a is the coefficient of x²(h, k) are the coordinates of the vertex pointFrom the given figure
∵ The graph is a parabola the graph of the quadratic equation
∵ Its maximum point is (2, 2)
∴ Its vertex is (2, 2)
→ By using the facts above
∴ h = 2 and k = 2
→ Substitute h, k in the form of the equation above
∴ y = a(x - 2)² + 2
→ To find a substitute x and y in the equation by a point on the curve
∵ The point (0, -2) lies on the parabola
∴ x = 0 and y = -2
→ Substitute them in the equation
∵ -2 = a(0 - 2)² + 2
∴ -2 = a(-2)² + 2
∴ -2 = a(4) + 2
∴ -2 = 4a + 2
→ Subtract 2 from both sides
∴ -4 = 4a
→ Divide both sides by 4
∴ -1 = a
→ Substitute it in the equation above
∴ y = -1(x - 2)² + 2
∴ y = -(x - 2)² + 2
∴ The vertex form equation for the given graph is y = -(x - 2)² + 2
what is the equation of the line that passes through the point (4,7) and has a slope of o?
Answer:
The equation of the line that passes through the point (4,7) and has a slope of 0 will be:
[tex]y=7[/tex]Step-by-step explanation:
As we know the equation of a line in a slope-intercept form of an equation is
[tex]y = mx + b[/tex]
Here,
m is the slopb is the y-interceptso
substituting the point (4,7) and slope m=0
[tex]y = mx + b[/tex]
[tex]7=0(4)+b[/tex]
[tex]7=0+b[/tex]
[tex]b=7[/tex]
Therefore, the equation of the line that passes through the point (4,7) and has a slope of 0 will be:
[tex]y = mx + b[/tex]
[tex]y=0x+7[/tex]
[tex]y=7[/tex]
Find the value of x.
Y
3(x+7) -
63
=180
Answer:
x = -7 + 81/Y
Step-by-step explanation:
The formula B = 2HL can be used to determine the number of bricks, B, needed to build a wall of height H and length L.
What is the height of a wall built 28 feet long and requires 1736 bricks?
9514 1404 393
Answer:
31 feet
Step-by-step explanation:
Fill in the given numbers and solve for the missing value.
B = 2HL
1736 = 2H(28)
1736/56 = H = 31
The wall is 31 feet high.
Answer:
N = 7·L·H
2310 = 7·30·H
2310 = 210·H (now, divide both sides by 210)
2310 ÷ 210 = 11
H = 11 feet
Step-by-step explanation:
Select all the points that are on the graph of the line y = -1/2x +5
0,5
0,10
1,2
1,4
5,0
10,0
9514 1404 393
Answer:
(0, 5), (10, 0)
Step-by-step explanation:
It can be useful to graph the equation and plot the points. Alternatively, you can evaluate the equation at the offered points.
Right away, you will notice that x must be even if y is to be an integer. The first point is the y-intercept, which the equation tells you is (0, 5). Then the only remaining candidate point is (10, 0), which also satisfies the equation:
0 = (-1/2)(10) +5 = -5 +5
Jim's puppy weighs 2,268 grams, about how many ounces does the puppy weigh?
Answer: it weighs about 80 ounces
Step-by-step explanation:
The quotient of a number and -7 is 8. What is the number?
Answer:
-56
Step-by-step explanation:
-56/-7 =8
URGENT HELP RN
what is the solution set of this inequality? 1<|x-2|<5
(-3, ) U ( , )
We first need to consider the absolute value of x-2 to find the solution set of this inequality, The solution set of this inequality is (3, 4, 5).
What is absolute value?An absolute value is a number's distance from 0 on the number line.
Since the inequality is 1<|x-2|<5, we can then determine the two extreme points of the absolute value of x-2.
These points are 1 and 5.
Now, to find the solution set of this inequality, we need to find the two points that are 1 and 5 units away from the point x = 2.
The two points that are 1 and 5 units away from x = 2 are 3 and 5 respectively.
This is because the absolute value of x-2 has two extreme points, which are 1 and 5 units away from the point x = 2.
Therefore, the two points that are 1 and 5 units away from x = 2 are 3 and 5 respectively.
For more questions related to inequality
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RE
You just looked at the graph of this system of equations.
Why will the lines never intersect?
y = -x +5
y=-x-3
Answer:
The lines never intersect because the lines are parallel.
Step-by-step explanation:
Given system of linear equations is:
y = -x +5
y=-x-3
The slope-intercept form of a line is:
[tex]y = mx+b[/tex]
Here b is the y-intercept and the co-efficient of x is the slope of the line
Comparing the given equations with slope intercept form we get that the slope of both lines is -1
Both lines have the equal slope which means that the lines are parallel.
Parallel lines NEVER intersect each other.
Hence,
The lines never intersect because the lines are parallel.
what is the slope of the line
what is slope of the line
Answer:
The Answer is 3
Step-by-step explanation:
First you'd want to find two points so example (0,1), and (2,7)
Second You would put them in the slope formula y2-y1/x2-x1
Third You would want to solve the formula by getting 2-0 and 7-1 And get 6/2
Fourth Simply 6/2 and get 3/1 which is also 3.
Hope this helps
HELP ASAP ILL GIVE BRAINLIEST
Answer: i would say 20 because it doesnt look that short compared to 22.
Answer:20.1 ft
Step-by-step explanation: in image below
LaTanya will walk (3 mi/hr) her bike from her house to the
bike shop, which is 1.5 mi from her house, to get the bike
fixed. She expects to wait 30 min for the repair. Then she
will ride (10 mi/hr) her bike home. How long will it take
her to get home?
A)2.12 hr
B)2hr
C)1.15
D)4hr
Answer:
1.15 hr
Step-by-step explanation:
Given that:
To get bike fixed :
Speed = 3 miles per hour
Distance = 1.5 miles
Time taken = distance / speed
Time taken = 1.5 / 3 = 0.5 hour
Waiting time for repair = 30 minutes = 0.5 hours
Return home :
Speed = 10 miles per hour
Distance = 1.5 miles
Time taken = distance / speed
Time taken = 1.5 / 10 = 0.15 hour
Total time : (0.5 + 0.5 + 0.15) = 1.15 hr
Suresh makes 100 pieces of costume jewelry to sell to his classmates. Each piece costs him $1.55 to make. How much does it cost Suresh to make all 100 pieces?
$0.02
$0.16
$15.50
$155.00
Answer:
$155.00
Step-by-step explanation:
$100×$1.55=$155
can i get brainliest
What is the equation of the line that goes through (-3,-1) and (3,3)?
A. 3x + 2y = 15
B. 3y + 2x = 15
C. 3x − 2y = 3
D. 2x − 3y = -3
Answer:
Option D
Step-by-step explanation:
m= y2-y1/x2-x1
m=3-(-1)/3-(-3)
m=4/6
m=2/3
y=m*x+c
y=2/3*x+c
sub (3,3)
3=2/3*3+c
3-2=c
1=c
Therefore y=2/3*x+1
y-2/3*x=1
Times by 3
3y-2x=3
2x-3y=-3
Therefore Option D
Answer:
I think It's (D)
Step-by-step explanation:
Identify the vertical asymptotes of f(x) =
10
x? - 7x - 30
O x = 10 and x = 3
x = 10 and x = -3
Ox= -10 and x = 3
Ox= -10 and x = -3