Answers
Vertex form of a quadratic is y = a(x - h)^2 + k.
( h , k ) is the vertex and in the problem the very is ( 1, -3) so plug that in and:
y = (x - 1 )^2 + (-3) this is equal to:
y = (x -1)^ 2 - 3
hope this helps c:
Answer:
slef
Step-by-step explanation:
Related Questions
Determine the slope of the graph of x3 = ln(xy) at the point (1, e).
Answers
The slope of the graph of x^3 = ln(xy) at the point (1, e) is 2e. This is found by taking the derivative of the equation to find a formula for the slope at any point, and then substitifying the given point into that formula.
Explanation:To determine the slope of a graph of the equation x3 = ln(xy) at a specific point, we need to take the derivative of the equation, which gives us the slope at any point. Given the equation x^3 = ln(xy) and the point (1, e), first we can take the derivative implicitly.
Using the chain rule and the fact that the derivative of ln(x) is 1/x, we have 3x2dx = (1/y + x/y')dx. Simplifying this gives y' = (3x2y - 1)/x, which is the derivative of the equation and represents the slope at any given point.
Substituting x = 1 and y = e into the equation of the derivative, we get y' = (3.1e - 1)/1 = 2e, so the slope at the point (1, e) is 2e.
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which of the following is a factor of 15x2-14x-8
Answers
The ratio of red pens to black pens is 3:2. What fraction of the pens are red
Answers
Answer:
1/4
Step-by-step explanation:
3/12 simplified is 1/4.
Find the “missing terms” in the polynomial problems. Answers will have multiple terms.
1. (c^3 + c^2 - 5) + ( ) = c^2 + 2c - 7
2. (2d^2 + d) - ( ) = - d^3 + 3d - 1
3. ( ) - (2x^4 - 2x^2 - 3) = x^4 + x^3 - 2x^2 + x
Answers
2. (2d^2 + d) - (d^3 + 2d^2 - 2d + 1) = - d^3 + 3d - 1
3. ( 3x^4 + x^3 - 4x^2 + x - 3) - (2x^4 - 2x^2 - 3) = x^4 + x^3 - 2x^2 + x
((Use the graph shown below to fill in the blank.))
If (4, y) is an ordered pair of the function, then y = a0.
Answers
Draw a vertical line (see side note below) through 4 on the x axis. I've done so in red (see attached image). The red line crosses the graph at the point (4,1) so this tells us that y = 1
Answer: y = 1
Side Note: you don't have to draw a vertical red line but it's handy to see how it works out. After you get used to these types of problems, you can visually be able to see the answer without these extra lines.
If (4, y) is an ordered pair of the function, then value of y = 1.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
(4, y) is an ordered pair of the function.
Now, The point (4, y) has a known x coordinate of x = 4.
For the value of y at x = 4,
Draw a vertical line through 4 on the x axis.
Then, The vertical line crosses the graph at the point (4, 1).
Thus, The value of y is 1.
Thus, If (4, y) is an ordered pair of the function, then value of y = 1.
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The total weight of a tin and the cookies it contains is 2 pounds. after � of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. what is the weight of the empty tin in pounds?
Answers
Thus, the total weight of cookies in the tin is given by 1.2 / 0.75 = 1.6
Therefore, the weight of the empty tin is given by 2 - 1.6 = 0.4 pounds.
Which relationship is continuous? A. the number of cows a farmer has owned over the years B. the number of cookies Stan baked for the party C. the number of people attending the assembly D. the distance a runner ran during training
Answers
The relationship that is continuous is the distance a runner ran during training.
Explanation:The relationship that is continuous is D. the distance a runner ran during training.
A continuous relationship is one in which the values of one variable change smoothly and consistently over a given interval. In the case of the distance a runner ran during training, the distance can be any real number and can be measured with great precision, allowing for smooth changes in the values.
The continuous relationship is the distance a runner ran during training.
A continuous relationship is one where the variable changes smoothly and can take any value within a given range. Let's analyze the options:
A. The number of cows a farmer has owned over the years:
This relationship is likely continuous, as the number of cows can change smoothly over time, and there are no discrete jumps in ownership.
B. The number of cookies Stan baked for the party:
This relationship is likely discrete, as the number of cookies is typically counted in whole numbers without smooth transitions. Stan would bake a specific, countable quantity of cookies.
C. The number of people attending the assembly:
This relationship is likely discrete, as the number of people is counted in whole numbers and does not change smoothly. Attendees come in whole individuals, not fractions.
D. The distance a runner ran during training:
This relationship is continuous, as distance can vary smoothly and take any real value within a given range. Runners can cover fractional distances, making it a continuous variable.
Therefore, the continuous relationship is D, the distance a runner ran during training.
y=10x+16 looks like what on a graph
Answers
The measure of each interior angle of a regular polygon is 150 how many sides does the polygon have?
Answers
180-150=One exterior angle
180-150=30
We know that all of the exterior angles add up to 360
360/30= the number of sides
360/30=12
The shape has 12 sides.
Which statement is true about this argument?
Premises:
If two angles form a linear pair, then they are supplementary. If two angles are supplementary, then the sum of their measures is 180°.
Conclusion:
If two angles form a linear pair, then the sum of their measures is 180°.
A) The argument is not valid because the premises are not true.
B) The argument is not valid because the conclusion does not follow from the premises.
C)The argument is valid by the law of syllogism.
D)The argument is valid by the law of detachment.
Answers
answer
C)The argument is valid by the law of syllogism.
The given argument is valid by the law of syllogism which is the correct answer would be option (C).
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.
Premise: If two angles form a linear pair, they are supplementary.
If two angles are supplementary, the total of their measurements equals 180.
Conclusion: If two angles form a linear pair, the total of their measurements equals 180.
If two angles form a linear pair, they are always supplementary.
Thus, if two angles form a linear pair, the total of their measures is 180°; however, if two angles are supplementary, it does not ensure that they will form a linear pair.
So the given argument is valid by the law of syllogism.
Hence, the correct answer would be option (C).
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factor a number, variable, or expression out of the polynomial shown below. 15x^3 + 20x
a. 15x(x^2+5x)
b. 5x(3x^2+4x)
c. 5x(3x^2+4)
d. 15x(x^2+5)
Answers
Final answer:
To factor a number, variable, or expression out of the polynomial 15x³ + 20xa, you can factor out 5x to get 15x(x²+5x).
Explanation:
To factor a number, variable, or expression out of the polynomial 15x³ + 20xa, you need to identify a common factor.
In this case, the common factor is 5x. So, you can factor out 5x from each term to get: 15x(x²+5x)
Therefore, the correct answer is option a. 15x(x²+5x).
What is the slope of this graph?
1/4
--4
--1/4
4
Answers
Answer:
4
Step-by-step explanation:
the last one I think
The slope of the graph is indeed 4.
You can find the slope of a line by using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where m is the slope, (x₁, y₁) and (x₂, y₂) are any two points on the line.
In the given graph, two points are clearly marked: (0, 0) and (10, 40). Plugging these points into the formula, we get:
m = (40 - 0) / (10 - 0) = 40 / 10 = 4
Therefore, the slope of the graph is 4. So the answer is d. 4.
Write 5 3/8 as an improper fraction.
15/8
43/8
23/8
53/8
Answers
8 x 5=40
Add 3 to 40 that will be 43
So you have 43/8
The answer is 43/8
Hope that helped. Have a nice day
The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up a car with gasoline with 9 gallons of gasoline. What is the constant of variation?
Answers
What is the slope of the line represented by the equation –5x+2y= 10 ?
–52
–25
25
52
Answers
y = 5/2 x + 10 slope: 5/2
Step-by-step explanation:
12 inches increased by 36
Answers
your answer is 48 inch
hope this helps
48 inches is the andwer
What is the value of x and y in this parallelogram
Answers
_________________________________________
y = 71 ;
all sides must equal 360 .
71 * 2 = 142 ;
360 - 142 = 218 ;
218 ÷ 2 = 109 ;
x = 109;
x = 109° ; y = 71° .
______________________________________
If you're traveling 75 mph how many miles will you go in an hour
Answers
Which best describes the graph of the function f(x) = 4(1.5)x?
A.The graph passes through the point (0, 4), and for each increase of 1 in the Bx-values, the y-values increase by 1.5.
B.The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.
C.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by 4.
D.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by a factor of 4.
Answers
B.The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.
Final answer:
The function f(x) = 4(1.5)^x passes through the point (0, 4), and for each unit increase in x-values, the y-values are multiplied by a factor of 1.5, not just increased by a fixed amount.
Explanation:
The function f(x) = 4(1.5)^x describes exponential growth, where the base of the exponent is greater than 1. Thus, the graph of f(x) is not a straight line but an exponential curve. Evaluating the function at x=0 gives us f(0) = 4(1.5)^0 = 4, confirming the graph passes through the point (0, 4). For each increase of 1 in the x-values, the y-values are multiplied by 1.5, not merely increased by 1.5 or 4, consistent with the properties of an exponential function. Therefore, the correct answer is that the graph passes through the point (0, 4), and for each unit increase in x-values, the y-values increase by a factor of 1.5, correlating with option B.
Determine the value of r so the line passing through each pair of points has the given slope
(6,3) (r,2), m=1/2
Answers
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{1}{2}=\frac{2-3}{r-6}[/tex]
[tex](r-6)=2(-1)[/tex]
[tex]r-6=-2[/tex]
[tex]r=4[/tex]
That is the screen shot for questions 5.
Answers
f(x) = x^4+7
y = x^4+7
x = y^4+7
y^4 = x-7
y = FourthRoot(x-7)
[tex]y = \sqrt[4]{x-7}[/tex]
If cos70 = 0.342, give another angle whose cosine is 0.343
Answers
The another angle whose cosine is 0.343 is -70.789 degrees.
Given that,
cos(70) = 0.342
We can use the fact that cos(x) = cos(-x) to find another angle whose cosine is 0.343.
Now
⇒ cos(x) = 0.343
⇒cos(-x) = cos(x)
= 0.343
Now, we need to find -x.
⇒ cos(-x) = 0.343
Taking inverse cosine on both sides, we get:
⇒ -x = arcos(0.343) we get,
⇒ -x = 70.789
Therefore, x = -70.789
Hence, another angle whose cosine is 0.343 is -70.789 degrees.
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There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day. Which linear equation represents the total amount of quarters in the jar after x days? A. 6y = 2x B. y = 6x + 2 C. y=16x+2 D. y = 2x + 6
Answers
Answer:
D. y = 2x + 6
Step-by-step explanation:
The amount of quarters that there´s in the jar is expressed by the letter "Y".
We know the jar had already 6 quarters.
Jill adds 2 quarters to the jar everyday, the number of days Jill does this will be represented by the letter "X", because it´s our variable.
What remains constant is that we started with 6 quarters and Jill deposits 2 more every day
Number of quarters in the jar "Y"= (Number of quarters deposited) 2*(number of days)X + (Number of quarters already in the jar) 6.
Y= 2x+6
An investment doubles in value every 9 years. What was the starting value of the investment if it is worth $4800 after 27 years.
Answers
What are the coordinates of the x-intercept(s) of the graph of
y = (x - 6)(x + 5)?
A) (0, -30)
B) (-5, 0) and (6, 0)
C) (0, -5) and (0, 6)
D) (-6, 0) and (-5, 0)
Answers
X = -5
The answer is C
Answer:
B. is the answer!!!!!!! (-5, 0) and (6, 0) is the correct answer.Step-by-step explanation:
(-5, 0) and (6, 0) is the correct answer.
To find the x-intercepts, use the Zero Product Property and solve for x:
x - 6 = 0
x = 6
x + 5 = 0
x = -5
Therefore, the x-intercepts are (6,0) & (-5,0).
Math Help Please....
Answers
Find the missing term of the following sequence. . . . –45, __, –12, . . .
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So the answer is -28.5
How do you find the missing value?
Answers
the angle tickmarks mean, both of those angles are equal, and we know up above that angle is 60°, that means the twins are 180°/2 or 60° each then, that means the triangle is an equilateral triangle.
so those two sides are equal, and surely you'd know how much "x" is then.
The temperature on a summer afternoon is 85 degrees Fahrenheit. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of degrees Fahrenheit
Answers
Since there is a decrease of 11, c would be replaced with -11. When you plug this into your expression (85 + c: 85 + -11), the answer to this would be 74.
The expression 85 + C; 85 + (-9) = 76; 76 degrees F option is (C) 85 + C; 85 + (-9) = 76; 76 degrees F is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
The temperature on a summer afternoon is 85 degrees Fahrenheit.
Let C be the temperature in degrees
F = (9/5)C + 32
Or
C = [5/9](F - 32)
From the data given in the question:
Any temperature change is the sum of the initial temperature and the new value.
Temperature plus changes The figure will be positive if there has been an increase. The number will be negative if there is a reduction.
Thus, the expression 85 + C; 85 + (-9) = 76; 76 degrees F option is (C) 85 + C; 85 + (-9) = 76; 76 degrees F is correct.
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I'm stuck on trying to get X
Answers
This will simplify to x=45.
In this case, these two angles are Alternate Interior Angles, which we know are congruent.
Because they are congruent, they will be the same angle. In other words, they will equal each other.
So we can set this problem up as an equation and solve for x:
3x-50 = 2x-5
3x-50+50 = 2x -5 + 50
3x = 2x + 45
3x - 2x = 2x -2x + 45
x = 45
ANSWER:
X= 45
Now find the angles accordingly.
3(45) - 50 = 85
2(45) - 5 = 85✔️
Everything checks out.