The graph represents an object that is shot upwards from a tower and then falls to the ground.
1. How tall is the tower from which the object was shot?
2. When did the object hit the ground?
3. Estimate the greatest height the object reached and the time it took to reach that height. I indicate this situation on the graph.
Answers
Answer:
1: The tower is around 93 meters tall. 2: The object hit the ground at 6 seconds. 3: 3 seconds to get to about 93 meters up.
Step-by-step explanation:
1: The tower is around 93 meters tall.
2: The object hit the ground at 6 seconds.
3: the time it took to reach that height is 3 seconds to get to about 93 meters up.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Linear function is a function whose graph is a straight line
1. Since the shot was made from the top of the tower, the starting height of the object (time zero) is equal to the height of the tower.
It represent in the graph by the y-intercept of the function, that is, the value of y when x=0.
The y-intercept is at (0,10) which shows that the height of the tower is 10m
2. The point where the object hit the ground, the height is zero meters, thus
The coordinates of the x-intercept are (6,0)
This shows that the object hit the ground 6 seconds after being shot.
3.The y-coordinate of the vertex shows the highest point of the object, which is 93 meters.
The x-coordinate of the vertex shows the time it took the object to reach said height, which is 2.8 seconds
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Related Questions
find the domain of y=1/2 square root of x+2-3
Answers
Determine whether the following pairs of lines are parallel, perpendicular, or neither. y=1/3x+4 3x+y=2
Answers
Answer:
parallel
Step-by-step explanation:
Answer:
The lines are perpendicular
Step-by-step explanation:
Y=1/3x+4
Y=-3x+2
The negative reciprocal of -3 is 1/3
2. The area of a rectangle is 721 quare yards, M the length of the rectarije v fards, Wuch enpresion represent
the width of the rectangle in yards?
Answers
Answer:
721/M
Step-by-step explanation:
Length times width equals area so area (721) divided by length/width (M) = the corresponding length/width. (width)
10 points
13 Jake has a wooden board that measures
8.25 feet long. He cuts the board into
pieces that each measure 0.75 feet so
he can make signs. If Jake earns $15.95
for each sign he sells, how much money
can he earn from the signs he makes
from this board?
a
Your answer
Answers
Answer:
$175.45
Step-by-step explanation:
8.25 / 0.75 = 11
15.95 x 11 = 175.45
534 divided by 43. Please help..
Answers
Answer:
Step-by-step explanation:
The numbers in the fraction cannot be reduced to create a simplified fraction. Therefore there are 3 ways to write this answer ...
1) [tex]\frac{534}{43}[/tex]
2) 12[tex]\frac{18}{43}[/tex]
3) 12.41861
Plz answer bhhk f hi j
Answers
Answer:
its just rhombus and trapezoid i think.
Step-by-step explanation:
Brainiest if good answer!
No links!!! I won’t view them
Given the system of linear equations:
{x+6y=6
y=1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answers
Answer:
QUESTION 1
The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
Then, we use this value to find the other one
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
Then, we use this value to find the other one
Therefore, the solution is (6,0), the same showed graphically.
Step-by-step explanation:
If you don't get it
question 1
solution is (-1,-5)
question 2
solution is (6,0),
The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The system of linear equations:
x+6y=6
y=1/3 x−2
Part A: Graph is shown in the picture.
Part B: The intersection point is (6, 0)
x = 6
y =0
Part C: By substitution method.
[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]
x = 6
y = 0
Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
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Evaluate the following expression 6⋅2+6^4 khan academy
Answers
Answer:
6.2+6^4
6.2+1.296
7.496
In a school day each student has to participate either in music or sport . Out of 350 students of the school 250 participated in sports and 145 in music then,
a. How many students have participated in both activities?
b. How many of them have participated in one activity only?
c. Represent the above information in a Venn Diagram.
Answers
Answer:
a. 45
b. 305
(left side) just sports, (middle) amount that did both, (right side) kids that just did music
Step-by-step explanation:
a. 250 + 145 = 395 395-350 = 45
b. 350-45= 305
ope this helps :)
The land area of Connecticut is about 12,549,000,000 square meters. The land area
of Rhode Island is about 2,707,000,000 square meters. How many times greater is the land area of Connecticut than the land area of Rhode Island?
Answers
Answer:
4.636
Step-by-step explanation:
The ratio is the same when it is written in terms of billions of square meters:
CT/RI = 12.549/2.707 ≈ 4.636
The area of CT is about 4.636 times as large as the area of RI.
Who has the shorter insect?
Answers
The population proportion for a certain characteristic is 0.28. In a sample of
100 people, 25 had that characteristic.
Which equation correctly describes the point estimate?
A. P = 0.28
B. p = 0.28
O c. p = 0.25
D. p = 0.25
Answers
Answer:
B. p= 0.25
Step-by-step explanation:
Pls give brainliest if helps
Use the diagonals to determine whether a parallelogram with vertices A(2, 7), B(7, 9), C(5, 4), and D(0, 2) is a rectangle, rhombus, or square. Give all the names that apply.
Answers
Step-by-step explanation:
A and B have among each other the same distance relation as D and C : +5 in x, and +2 in y direction
and D and A have among each other the same distance relation as C and B : +2 in x, and +5 in y direction.
that means the slope of the first pair of sides is 2/5, and the slope of the second pair of sides is 5/2.
and that means that these 2 pairs of lines are not perpendicular (for this not only would we need to have the ratio upside down but also the sign would need to be flipped). there are no 90° angles.
so, there is no rectangle or square.
but because the sums of x and y coordinate differences are the same, we have the same distances between neighboring points.
and that makes it a rhombus.
The graph of y = f(x) is the solid black graph below. Which function represents the
dotted graph?
Submit Answer
O y = f(x + 3) - 5
O y = f(x - 3) - 5
O y = f(x - 3) + 5
O y = f(x + 3) + 5
Answers
Answer:First option, y=f(x+3)+5
Step-by-step explanation:
analyse the transformation first
From the dotted function, when compared to the solid black line, is moved 3 units to the left, and moved upwards by 5 unitsInput transformation
In graphing, when a value is shifted horizontally, its transformation is equal to: -(x2-x1), and in this instance, we end up with a value of +3so, f(x+3) is the first componentWhen a function is shifted horizontally, it is proportiante to the distance it moves, so (y2-y1)in this instance, it is 0 - -5=5so the transformation vertically is +5Final answer, when all values are added is y=f(x+3)+5
Check whether (19/9, 15/3) is
a solution of the equation 3a + b = 8 or
not where (a,b) is co-ordinate point.
Answers
Answer:
No, it is not a solution to the equation.
Step-by-step explanation:
If [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is a solution of the equation, the left-hand side (LHS) of the equation would equal to the right-hand side (RHS) of the equation.
3a +b= 8
When a= [tex] \frac{19}{9} [/tex], b= [tex] \frac{15}{3} [/tex],
LHS
= [tex]3( \frac{19}{9} ) + \frac{15}{3} [/tex]
[tex] = \frac{19}{3} + \frac{15}{3} [/tex]
[tex] = \frac{34}{3} [/tex]
[tex] \frac{34}{3} ≠8[/tex]
Since the left-hand side is not equal to the right-hand side of the equation, [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is not a solution of the equation.
Given equation is 3a+b = 8
Given point = (19/9,15/3)
Put a = 19/9 and b = 15/3 in LHS of the given equation then
⇛ 3(19/9)+(15/3)
⇛(19/3)+(15/3)
⇛ (19+15)/3
⇛ 34/3 ≠ 0
LHS ≠ RHS
Given point not satisfies the given equation
Therefore, it is not the solution of the given point.
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10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.
Answers
The given ratio becomes 6x : 3x : x.
6x = black paint
3x = green paint
x = blue paint
6x + 3x + x = 500
10x = 500
x = 500/10
x = 50
6x = 6(50) = 300
3x = 3(50) = 150
x = 50
Answer:
300 ml of the black paint.
150 ml of the green paint.
50 ml of the blue paint.
If it is sunny, then we will go fishing.
Choose the equivalent statement.
A. If we go fishing, then it is not sunny.
B. If we do not go fishing, then it is not sunny.
C. If we do not go fishing, then it is sunny.
Answers
The quadratic function g(x)=ax^2+bx+c has the complex roots (-7+4i) and (-7-4i)
What is the value of a?
What is the value of b?
What is the value of c?
Answers
Answers:
a = 1
b = 14
c = 65
===========================================================
Explanation:
Let's focus on the root x = -7+4i
Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.
x = -7+4i
x+7 = 4i
(x+7)^2 = (4i)^2
(x+7)^2 = 16i^2
(x+7)^2 = 16(-1)
(x+7)^2 = -16
(x+7)^2+16 = 0
If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.
Expand out that expression to get it into standard form
(x+7)^2+16
(x+7)(x+7)+16
x^2+7x+7x+49+16
x^2+14x+65
The equation is now in y = ax^2+bx+c form
a = 1
b = 14
c = 65
If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.
36 ÷ ____ = 9 15 points
Answers
Answer:
36 ÷ __4__ = 9
Step-by-step explanation:
36/9 = 4, so
36 ÷ __4__ = 9
Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each.
The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.
a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.
b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.
Answers
Answer:
Step-by-step explanation:
a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit
b. 50n > 135 + 4.50n
The Appalachian Trail is about 2,175 miles long.
a. If Katia averages 18 miles each day, how long will it take her to hike the length of the trail?
b. Katia’s friend Joelle joins her for the last quarter portion of the hike. How many full days will Joelle hike?
PLZ HELP I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS THIS QUESTION!
Answers
Answer:
121 days; 30 full days
Step-by-step explanation:
to find how much days she takes you divide 2175 by 18
2175 / 18 is 120.833333
it will take her at least 121 days because you need to round up
the last portion of the hike would be a quarter of the hike
you would divide the final time by 4 and that is your answer
121 / 4 is 30.25
you have to round down because .25 is not a full day
she hiked 30 full days
Please help with this question!!!!
Answers
Answer:
what is your question ?
Step-by-step explanation:
Which of the following is the rational exponent expression of 4 square root of f?
OF
Of4
O4f
4
Answers
What is the value of z?
Answers
Hence X* = 55*, then Z* = 55*
On a scale drawing, a statue is 8.3 inches tall. The scale factor is 212. Find the actual height of the statue.
Answers
Answer:
1759.6
Step-by-step explanation:
8.3 multiplied by 212 i think
A pole 12 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Moussa measures the distance from the pole to the stake and from the pole to the tower. Find the length of the guy wire, to the nearest foot.
Answers
Answer: The answer is 189 ft.
Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18. How much money did Josh have left after he purchased his lunch? *
Answers
Answer:
3.27
Step-by-step explanation:
the money he spent in total is 9.53 subtract it to 12.80
The amount of money left after he purchased his lunch is $3.27.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18.
The amount of money left will be calculated as,
Money left = 12.80 - [(2 x 2.75 ) + 1.85 + 2.18]
Money left = 12.80 - 9.53
Money left = $3.27
Therefore, the amount of money left after he purchased his lunch is $3.27.
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I need a fast answer because I’m about to get on a plane
Answers
Answer:
C
Step-by-step explanation:
-6 is less than 7
Using a calculator or otherwise, calculate the exact value of 498.79×14.38. Round your answer to one (1) decimal place.
Answers
Answer:
7172.6
Step-by-step explanation:
The total number of gallons of water in a tank, w, after t minutes is given in the table and the graph below. What is an equation showing the relationship between w and t? A. w = 2t B. w = 2 + t C. w = 4t D. w = 4 + t
Answers
Answer:
C. w = 4t
Step-by-step explanation:
Let's examine the way t and w are related to each other, one point at a time starting with (0, 0). This point really doesn't tell us much, but we do know that this relationship must be proportional since any line that goes through the origin (the point (0, 0)) is proportional. we can rule out B. 2 + t and D. 4 + t since neither of these go through the origin. 2 + t goes through the point (0, 2) and 4 + t goes through the point (0, 4).
Now, we have two options left: A. w = 2t and C. w = 4t. Which one is correct? Well, let's look at the point (1, 4). 1 × 2 is not equal to 4, but 1 × 4 is equal to 4, so C. w = 4t must be the correct option.
We can test this on the rest of the points as well: 2 × 4 = 8 and 3 × 4 = 12. Hopefully that's helpful! If you have questions or need clarification on anything, let me know. :)