The y-intercept of the function f(x) = -x^2 + x - 4 is at the point (0, -4).
To find the y-intercept of a function, we set x = 0 and calculate the corresponding y-value. In the given function f(x) = -x^2 + x - 4, we substitute x = 0 and evaluate:
f(0) = -(0)^2 + (0) - 4
= 0 + 0 - 4
= -4
Hence, the y-intercept of the function f(x) is -4. This means that the function crosses the y-axis at the point (0, -4). The x-coordinate of the y-intercept is always 0, as it lies on the y-axis. The y-coordinate, in this case, is -4.
By plotting the function on a coordinate grid, we can visually observe the y-intercept at (0, -4). The graph of f(x) = -x^2 + x - 4 will open downwards since the coefficient of x^2 is negative. The graph will approach negative infinity as x approaches infinity and will reach its maximum point at the vertex.
The vertex can be found using the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation. In this case, the vertex occurs at x = 1/2, and substituting this value into the function will give us the corresponding y-value.
However, the task was to find the y-intercept, and we have determined that it is at (0, -4), where the function intersects the y-axis.
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A student records the feather colors and beak shapes of every bird observed in a park. What kind of data is the student recording?
Answer:
the feather colors and beak shapes of every bird observed in a park.
Step-by-step explanation:
you said it in your question
Answer:
Qualitative
Its right i swear
What two numbers add to -50 and multiply to 80
Answer:
5 bro bro bro bro bro bro your welcome i i got this on edg snd gotnit rihht trustvme
Step-by-step explanation:
step byvstep went ham bro bro quan
ronaldo
please help with this
Answer:
1. S = 20w + 100
2. M = -400w + 3,500
Step-by-step explanation:
1. Since Mateo is starting with a balance of $100, we can set this as our constant term (the 'b' in y = mx + b). Every week, he earns $20, so we can set this as the coefficient on the variable w (which represents how many weeks have passed).
2. Emily is spending money in this situation, so the coefficient on w is negative, as the amount of money she has left is getting smaller. The exact amount that she spends each week is $400, so the negative of that is going to be the coefficient of w in the equation. We can set the constant term in this equation to $3500, as Emily starts with that much money when no weeks have passed (when w = 0).
Help needed fast!!!
Answer:
The answer is A
Step-by-step explanation:
It has to exceed not be same or equal to
consider the graph of the function f(x) = log x(picture of graph below)which are features of function g if g(x) = 4 log(x) +4- domain of (4, infinity)- y-intercept of (0,4)- x-intercept of(0.1, 0)- range of ( negative infinity, infinity)- vertical asymptote of x=0
Given
\(g(x)=4log(x)+4\)The domain
Domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
\((0,\infty)\)y-intercept
The y-intercept of a graph is the point where the graph crosses the y -axis.
\(No\text{ }\)x-intercept
The x-intercept is the point at which the graph crosses the x-axis.
\((0.1,0)\)Range
The range of a function is the set of its possible output values.
\((-\infty,\infty)\)Vertical asymptote
A vertical asymptote is a vertical line that guides the graph of the function but is not part of it.
\(x=0\)In the following expression, 7x +15, what is the 7?
A. coefficient
B. term
C. constant
D. variable
Answer:
A. coefficient
Step-by-step explanation:
A constant is the number that isn't with any variable, which in this case, the constant would be 15.
A variable is a unknown value, which in this case, the variable would be x.
The term are the numbers in the equation, which in this case, the terms would be 7x and 15.
The 7 in the expression 7x + 15 is the coefficient.
The correct option is A.
What is an expression?A term is composed of one mathematical expression. A single variable (a letter), a single integer (positive or negative), or a number of variables that have been multiplied but never added or subtracted are all examples of single variables. There is a number in front of certain words that are variables. A word or phrase is preceded by a coefficient.
In general, a coefficient is the numerical factor of a term that contains a variable. In this case, the term containing the variable x is 7x, and the coefficient of this term is 7. The term 15 is a constant term, which is a term that does not contain any variables.
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Help find the area to this figure fasttt
Answer:
i can't see it was blur
i can't answer can you pic it again
Answer:
1/2 ×9×7=31.5
4×2= 8
31.5-8=23.5
=23.5in2
A wheel is spun using a troque of 48Nm. What is the angular acceleration of the wheen if it has a moment of inertia of 62 kg. M2
The answer to the given question is the angular acceleration of the wheel is 0.7742 rad/s².
We can use the formula for rotational dynamics:
τ = Iα
where τ is the torque applied, I is the moment of inertia, and α is the angular acceleration.
Rearranging this equation, we get:
α = τ / I
Plugging in the given values, we have:
α = 48 Nm / 62 kg⋅m²
Simplifying, we get:
α = 0.7742 rad/s²
Rotational dynamics deals with the motion of objects that are rotating around an axis. The key concept in rotational dynamics is torque, which is a measure of how much a force can cause an object to rotate. The moment of inertia is another important quantity in rotational dynamics, and it describes an object's resistance to rotational motion. The moment of inertia depends on the distribution of mass around the axis of rotation. The angular acceleration of a rotating object is directly proportional to the torque applied and inversely proportional to the moment of inertia. Therefore, a greater torque or a smaller moment of inertia will result in a greater angular acceleration. These concepts are used in a variety of applications, from the motion of planets to the operation of engines and turbines.
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Show me the ways. of how to divide 36 acorns if a brown squirrel can only carry 2 acorns at a time, a gray squirrel can only carry 3 acorns at a time, and the black squirrel can only carry 5 acorns?
The division of 36 acorns among the squirrels would be as follows:
- The black squirrel carries 35 acorns in 7 trips.
- The gray squirrel carries 1 acorn in 1 trip
1. Determine the number of times each squirrel can carry acorns:
- The brown squirrel can carry 2 acorns at a time, so it will need to make 36 / 2 = 18 trips.
- The gray squirrel can carry 3 acorns at a time, so it will need to make 36 / 3 = 12 trips.
- The black squirrel can carry 5 acorns at a time, so it will need to make 36 / 5 = 7 trips.
2. Allocate the acorns to each squirrel:
- Start by giving the black squirrel 7 trips worth of acorns, which is 7 x 5 = 35 acorns.
- Since there are only 36 acorns in total, the black squirrel can take all of them.
- This leaves 36 - 35 = 1 acorn remaining.
3. Distribute the remaining acorn(s) to the other squirrels:
- If there is only 1 acorn left, it can be given to either the brown or gray squirrel.
- Since the gray squirrel can carry more acorns per trip, it makes sense to give the remaining acorn to the gray squirrel.
So, the division of 36 acorns among the squirrels would be as follows:
- The black squirrel carries 35 acorns in 7 trips.
- The gray squirrel carries 1 acorn in 1 trip.
This is just one possible way to divide the acorns, considering the carrying capacities of the squirrels. The actual division may vary depending on the specific situation and requirements.
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find the ordered pair that corresponds to the given pair of parametric equations and value of t. x=second power 5, y=4 -third power; t=3
Thus, the ordered pair corresponding to x= (t^2) + 5, y= 4 - (t^3), and t=3 is (14,-23).
To find the ordered pair corresponding to the given pair of parametric equations and the value of t, we need to substitute t=3 into the equations for x and y and simplify.
x= (t^2) + 5
x= (3^2) + 5 = 14
y= 4 - (t^3)
y= 4 - (3^3) = -23
Therefore, the ordered pair that corresponds to the given pair of parametric equations and the value of t=3 is (14,-23).
Parametric equations are equations that express a set of variables as functions of one or more independent variables, called parameters. In this case, x and y are expressed as functions of the parameter t. Parametric equations are often used in physics, engineering, and other fields where there are variables that depend on time or other independent variables.
In summary, to find the ordered pair corresponding to a given pair of parametric equations and a specific value of t, we substitute t into the equations for x and y and simplify to obtain the values of x and y at that point. In this example, the ordered pair corresponding to x= (t^2) + 5, y= 4 - (t^3), and t=3 is (14,-23).
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YO SOMEBODY HELP PLS IM STUCK
Answer:
Step-by-step explanation:
Thank me later
its - 5 why becase look at the question if im wrong sorry
its - 5
A parallelogram is a quadrilateral with two pairs of parallel sides.
A quadrilateral is a parallelogram _[blank]_.
Which answer correctly fills in the blank in the previous sentence?
A) because it has only four sides and two of them are parallel
B) if it has two pairs of parallel sides and is a polygon
C) if it has only two pairs of parallel sides
D) if and only if it has two pairs of parallel sides
Answer:
C
Step-by-step explanation:
The quadrilateral is a parallelogram if and only if it has two pairs of parallel sides option (D) is correct.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
It is given that:
A parallelogram is a quadrilateral with two pairs of parallel sides.
As we know,
The quadrilateral can be defined as the four-sided polygon in geometry having four edges and four corners.
The quadrilateral, has:
Two pairs of congruent sides.
It has one pair of opposite congruent angles.
The diagonals of a kite are perpendicular.
One diagonal is bisected.
The top and bottom angles are bisected but does not have congruent diagonals.
A quadrilateral is a parallelogram if and only if it has two pairs of parallel sides.
Thus, the quadrilateral is a parallelogram if and only if it has two pairs of parallel sides option (D) is correct.
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Anna and Brian participate in a 2-player simultaneous sealed-bid auc- tion with the rules below: bid can be 100 or 200 only highest bidder wins (fair coin is tossed in case of a tie) winner pays own bid. Annas valuation is known by everyone to be 300 Yuan, while only Brian knows his own valuation. What everyone does know is that Brians valuation is drawn from the set {150,250} with equal probability a Write down the normal form of the game (b) Find all pure BNE,if any, of this game.
In this game, the pure best response equilibria (BNE) are when Anna bids 200 and Brian bids 100, or when Anna bids 100 and Brian bids 200. These equilibria occur because both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.
(a) The normal form of the game can be represented in a payoff matrix where the rows represent Anna's strategies (bids) and the columns represent Brian's strategies (bids):
scss
Copy code
Brian
| 100 | 200 |
-------------------------------
100 | (300, 0) | (300, 0) |
-------------------------------
200 | (0, 100) | (0, 200) |
-------------------------------
In each cell, the first number represents Anna's payoff, and the second number represents Brian's payoff.
(b) To find all pure best response equilibria (BNE), we need to examine each player's strategy and determine if they have a best response to the other player's strategy.
For Anna:
If Brian bids 100, Anna's best response is to bid 200, as this guarantees a higher payoff of 300.
If Brian bids 200, Anna's best response is to bid 100, as this guarantees a higher payoff of 300.
For Brian:
If Anna bids 100, Brian's best response is to bid 200, as this guarantees a higher payoff of 0.
If Anna bids 200, Brian's best response is to bid 100, as this guarantees a higher payoff of 0.
Therefore, the pure best response equilibria (BNE) of this game are:
(Anna: 200, Brian: 100)
(Anna: 100, Brian: 200)
In both cases, both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.
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Solve 5.4p+13.1=−2.6p+3.5 . Check your solution.
p= __
5.4p +13.1 = −2.6p+3.5 .
5.4p + 2.6p = 3.5 -13.1
8.0p = -9.6
p = -9.6 / 8
p = -1.2
pls help me with this...... :).....it's urgent........
Why urgent?
See attachment for math work and answer.
I gave you two different answers for 2b.
HELPPPPPPP! DUE TOMORROW
Answer:
Angle 1 = 63.3
Angle 2 = 37.3
Angle 3 = 63.3
Angle 4 = 142.7
Step-by-step explanation:
When a line intersects two parallel lines the interior angles are equal. So angle 2 = 37.3
Angle 3 = 180 - (79.4 + 37.3) = 63.3 since the sum of the angles on a straight line must be 180
Ange 1 = Angle 3 = 63.3
Angle 4 = 180-37.3 = 142.7
Divide using long division
pls show work
9x^3+18x^2-4x-8/3x-2
please help asap....
Answer:
a d9x9x6xx0x8x7x7x
Step-by-step eaxplanation:
3. Solve the following system of inequalities graph
on the set of axes below.
3x + y <7
X- - 4
State the coordinates of a point in the solution set.
Answer:
see attached
Step-by-step explanation:
The boundary line of the first inequality has a slope of -3 and a y-intercept of 7. It is a dashed line because it is not included in the solution set. y-values in the set are less than those on the line, so shading is below it.
The boundary line of the second inequality has a slope of 2/3 and a y-intercept of -4. It is a solid line because it is included in the solution set. y-value in the set are greater than or equal to those on the line, so shading is above it.
The solution set is in the left quadrant of the X that the lines make. Any point in that quadrant will be in in the solution set. We have shown (-3, -2) on the graph. (0, 0) is another point in the solution set.
__
Additional comment
When the inequality symbol is replaced with an equal sign (=), the resulting equation is the equation of the boundary line of the solution set. When that equation is written in the form ...
y = mx +b
the coefficient of x (m) is the slope of the line. It tells the rise/run of the line, the number of grid squares up for each square to the right. The constant (b) is the point on the y-axis where the line crosses. These values are usually sufficient to help you plot the line.
__
To determine shading, pick a variable term with a positive coefficient. (In this set of inequalities, they all have positive coefficients.) Look at the relation of the term to the inequality symbol. This tells you where the shading is.
3x < . . . . shading is left of the line
y < . . . . . shading is below the line
The first line has negative slope, so "left" and "below" are on the same side of the line.
y ≥ . . . . shading is above the line
≥ 2/3x . . . . shading is left of the line (x is less than or equal values on the line)
The second line has positive slope, so "above" and "left" are the same side of the line.
None sense >report
I. Study the situation below:
Jose wanted to construct a rectangular garden such that its perimeter is 28mn and
its length is 6 times its width.
What are the linear equations that represents the given situation?
II. Answer the following questions:
1. How do you describe a system of linear equations in two variables?
2.
Give at least two examples of systems of linear equations in two variables.
3.
How is the system of linear equations in two variables used in solving in real
life problems and in making decisio?
Answer:
Radio waves have photons with the lowest energies. Microwaves have a little more energy than radio waves. Infrared has still more, followed by visible, ultraviolet, X-rays and gamma rays.Which graphs pass the vertical line test?
Answer: 1, 2, and 3
Step-by-step explanation:
All three of these graphs pass the vertical line test. At any point on each graph, if you place a vertical line the graph will only intersect that line once. This means they all pass.
What is 38 times 4 plus the square root of 30
Answer:157.47722557
Step-by-step explanation:
10 A seal pup gains 28% of its birth weight each
day for the first 10 days of its life.
A one-day-old pup weighs 17.92 kg.
How much did it weigh at birth?
Answer:
WEIGHT
550 to 880 pounds
LIFESPAN
25 to 35 years
LENGTH
7.5 to 10 feet
THREATS
Entanglement, harassment, chemical contaminants, oil spills and energy exploration, vessel and vehicle interactions
REGION
New England/Mid-Atlantic
Step-by-step explanation:
Step-by-step explanation:
Hmm so a pup gains 28% weight every day for the next 10 days.. But a day old puppy weight 17.92kg sooo
28%+10every day=10.28
17.92-28%=12.9
17.92x10=179.2
Hmmmm
Well a seal pup weights 8-12kg on birth so ye I was right anweser is 12
find the domain and range
y = -log(x - 2) + 1
For the given function:
Domain: (2,∞)
Range: negative infinity , and all values less than or equal to 1.
The given logarithmic function is
y = -log(x - 2) + 1
To find Domain of this function
Proceed,
⇒ x - 2 > 0
⇒ x - 2 > 0
⇒ x > 2
Hence,
Domain of it is
⇒ x > 2
Domain set is (2,∞)
The behavior of the logarithmic term as x approaches infinity.
As x becomes very large, the expression x - 2 becomes much larger than 1, and so the logarithm ⇒ negative infinity.
Therefore, as x ⇒ infinity, y ⇒ negative infinity.
Similarly, as x ⇒ 2 from above,
The expression x - 2 ⇒ 0,
And the logarithm approaches negative infinity.
Therefore, as x ⇒ 2 from above, y ⇒ positive infinity.
Thus the logarithm is a decreasing function.
Hence,
The range includes negative infinity (asymptotically approached as x approaches infinity), and all values less than or equal to 1 (attained as x approaches 2 from above).
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5x + 10 = 15
1. 3
2. 1
3. 5
4. 25
Answer:
\(5x = 15 - 10 \\ 5x = 5 \div 5 \\ 5x = 1\)
8.6.PS-8
Find the area of this circle. Use
3.14 for T.
The area of the circle is about
ft?
(Round to the nearest hundredth as needed.)
The calculated value of the area of the circle with radius 7 feet is 153.93 square feet.
Calculatng the area of the circleTo find the area of a circle with radius 7 feet, we can use the formula A = πr^2, where A is the area and r is the radius.
Substituting the given value of radius, we get:
A = π(7)^2
Simplifying this expression, we get:
A = 49π square feet
Evauate the expression
So, we have
A = 153.93 square feet
Therefore, the area of the circle with radius 7 feet is 153.93 square feet.
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I just wanna know how I solve this: "Select the division equation that can be used to find the solution to the problem. 4/9 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost? "
9514 1404 393
Answer:
$4.50
Step-by-step explanation:
To find cost per kilogram, divide the cost by the number of kilograms it corresponds to.
($2)/(4/9 kg) = (2)(9/4) $/kg = $4.50 /kg
1 kilogram costs $4.50.
1. The floor of a building is 120 feet long
and 80 feet wide. A scale model of the
building has a length of 24 inches. What
is the width of the model?
Step-by-step explanation:
120 ft relate to 24 inches.
120/80 must be the same ratio as 24/model width.
120/80 = 3/2
so,
24/width = 3/2
48/width = 3
48 = 3width
width = 48/3 = 16 inches
What is the location of point A?
Will give brainliest answer
A.-1.3
B.-1.35
C.-1.6
D.-1.75
Answer:
C.-1.6
Step-by-step explanation:
distance: -1 - (-2) = 1
1 ÷ 5 = 1/5
-1 - 1/5 × 3 = -1 3/5 = -1.6
I NEED HELP ON THIS ASAP!!!!