Answer:
what he said
Step-by-step explanation:
write the equation if the line that passes through (4,5) and has a slope of m=3
Answer:
y = 3x - 7
Step-by-step explanation:
The point-slope formula for a straight line is
y – y₁ = m(x – x₁)
x₁ = 4; y₁ = 5; m = 3 Substitute the values
y – 5 = 3(x - 4) Remove parentheses
y – 5 = 3x - 12 Add 5 to each side
y = 3x - 7
The graph is a straight line with a y-intercept at y = -7 and a slope = 12/4 = 3.
An old billionaire is writing his will, and deciding how to distribute his nine estates among his three children. He wants to give each child at least one estate, and he does not want to give any two of his children the same number of estates. In how many possible ways can he distribute his estates?
The old billionaire can distribute his nine estates among his three children in one possible way, with the conditions that each child must receive at least one estate no two children can receive the same number of estates.
Explanation:This is a combinatorics problem in mathematics, specifically a variety problem. The billionaire has nine estates and three children. The conditions are that each child must receive at least one estate and no two children can receive the same number of estates.
Considering these conditions, the estates can be distributed in the following way: The first child can receive one estate, the second two, and the third child six. This is just one way to distribute the estates; there are several other combinations possible given the constraints.
To calculate the total number of possible distributions, we must consider all combinations. However, with the given constraints, there is only one possible way to distribute the estates among the three children.
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There are 18 possible ways for the billionaire to distribute his estates among his three children, ensuring that each child receives at least one estate and no two children receive the same number of estates.
Explanation:To distribute the nine estates among the three children, we can use combinatorics.
Step 1: We give each child one estate each. This leaves us with six estates.
Step 2: We need to divide these six estates among the three children in such a way that no two children receive the same number of estates.
Case 1: If we distribute the six estates as 4-1-1 (four estates to one child, one estate to each of the other two children), we have 3 options to choose the child who receives four estates. Once that is chosen, there are 2 options for the child who receives one estate, and the remaining child will automatically receive one estate. So, in this case, we have 3 * 2 = 6 options.
Case 2: If we distribute the six estates as 3-2-1 (three estates to one child, two estates to another, and one estate to the remaining child), we have 3 options to choose the child who receives three estates. Once that is chosen, there are 2 options for the child who receives two estates and one option for the child who receives one estate. So, in this case, we have 3 * 2 * 1 = 6 options.
Case 3: If we distribute the six estates as 3-1-2 (similar to Case 2, but switching the number of estates for two of the children), we also have 6 options.
Therefore, the total number of possible ways to distribute the estates is 6 + 6 + 6 = 18.
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Emily and a friend bought 2 tickets to see a soccer game each ticket costs 8.25 dollars the friends paid a toatal of 24.50 dollars which included a parking fee what percent increase represents the change when the parking fee is included?
Answer:
48 percent increase
Step-by-step explanation:
ANSWER ASAP!!!!
Three of the choices are ways to express 0.50. Which is NOT?
A. 1 half
B. 5 hundredths
C. 5 tenths
D. 50 hundredths
Answer:
B
Step-by-step explanation:
Graph the function and analyze it for domain, range, continuity, increasing or decreaseing behavior, symmetry, boundedness, extrema, asymptotes, and end behavior.
f(x) = 3 * 0.2^x
Answer:
[tex]f(x) = 3 \cdot 0.2^x[/tex]
Step-by-step explanation:
[tex]f(x) = 3 \cdot 0.2^x[/tex]
Domain of f: "What values of x can we plug into this equation?" This makes sense for all real numbers so the domain is [tex]\mathbb{R}[/tex]
Range of f: "What values of f(x) can we get out of the function?" From the graph we see we can get any real number greater than 0 out of the function by choosing a suitable x-value in the domain. The range is therefore [tex](0, \infty)[/tex].
Continuity: Since the graph is one, unbroken curve (i.e. a curve that can be drawn in one movement without taking your pen off the paper). We see that "roughly speaking" the function is continuous.
Increasing or decreasing behaviour: For all x in the domain, as x increases, f(x) decreases. This means the function exhibits decreasing behaviour.
Symmetry: It is clear to see the graph of f(x) has no symmetry.
Boundedness: Looking at the graph we see it is unbounded above as when we choose negative values, the graph of f(x) explodes upwards exponentially. Choose a value of x, plug it in, next choose (x-1), plug this in and we observe [tex]f(x-1) > f(x)[/tex] for all x in the domain.
The function is however bounded below by 0: no value of x in the domain exists which satisfies [tex]f(x) < 0[/tex].
Extrema: As far as I can tell, there are no turning points on the curve. (Is this what you mean by extrema?)
Asymptotes: Contrary to the curve's appearance, there are no vertical asymtotes for this curve. The negative-x portion of the curve is just growing so quickly it appears to look like an asymptote. There is a value of f(x) for all x<0. There is however a horizontal asymtote: [tex]y=0[/tex].
End behaviour: As [tex]x \rightarrow \infty, f(x) \rightarrow 0[/tex]. As [tex]x \rightarrow -\infty, f(x) \rightarrow +\infty[/tex]
The function f(x) = 3*0.2^x is a decaying exponential function, with a domain of all real numbers and a range of (0, ∞). It is continuous, decreasing and has a horizontal asymptote at y=0.
Explanation:The function f(x) = 3*0.2^x is an exponential function with a base of 0.2. Here we're multiplying the function by a coefficient of 3.
Domain: The domain of an exponential function is always all real numbers. So, the domain is (-∞, ∞).
Range: Since this is a decaying exponential function, the output will always be between 0 (which will never actually be reached) and positive infinity. So, the range is (0, ∞).
Continuity: An exponential function is always continuous, meaning there are no holes or jumps in the graph.
Increasing or Decreasing Behavior: Since the base of the exponential (0.2) is less than 1, this function is always decreasing.
Symmetry: Exponential functions are not symmetric.
Boundedness: This function is bounded below by 0.
Extrema: There are no maximum or minimum points in this function. However, it is worth noting that the function gets closer and closer to y=0 as x goes to infinity, but never reaches it. This is sometimes considered a minimum.
Asymptotes: An asymptote is a line that the graph approaches but never reaches. For this function, the x-axis, or y = 0, is the horizontal asymptote.
End behavior: As x approaches positive infinity, y approaches 0; as x approaches negative infinity, y approaches positive infinity.
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Given that (2,9) is on the graph of f(x) find the corresponding point for the function f(x+2)
Answer:
The corresponding point for the function f(x+2) is (0,9)
Step-by-step explanation:
The point (2,9) lies on the graph of f(x). And we have to find the corresponding point for the function f(x+2).
Whenever we add some constant "c" in x then the graph of the function shifts left by 'c' units.
We can see that, 2 has been added with x . Hence, the graph of the function will shift left by 2 units.
Therefore, the corresponding point for the function f(x+2) is given by
(2-2,9)
= (0,9)
evaluate each using the values given.
(z)(yx)^2+z; use x=2,y=2, and z=2
A.40
B.36
C. 34
D. 35
Put the values of x = 2, y = 2 and z = 2 to the expression (z)(yx)²+z:
[tex](2)(2\cdot2)^2+2=(2)(4)^2+2=(2)(16)+2=32+2=34[/tex]
Answer: C. 34he isosceles triangle has a perimeter of 7.5 m. Which equation can be used to find the value of x if the shortest side, y, measures 2.1 m?
Answer:
2x+ 2.1 = 7.5
x=2.7
Step-by-step explanation:
The perimeter of an isosceles triangle with sides x and y is
2x+y = P
I put y as the single side since the question said y is the shortest side. It should say shorter sides if the two sides with the same length are smaller than the third.
We know y =2.1 and P = 7.5
Substituting these values in, we get
2x+ 2.1 = 7.5
Subtract 2.1 from each side
2x+2.1 -2.1 = 7.5 -2.1
2x= 5.4
Divide each side by 2
2x/2 = 5.4/2
x = 2.7 m
Carrie is looking for a job cutting hair. One option is self-employment at The Belmont Salon, where she would pay $438 per month to rent a station and keep all her earnings. Another option is to work at a franchise, where she just have to pay $2 for every haircut. if she performed a certain number of haircuts every month, the amount paid to either salon would be the same. how much would Carrie pay? how many haircuts would that be? ( Can you also show the steps please?)
Answer:
She would have to do 219 haircuts in a month for the costs to be the same, which would be $428.
Step-by-step explanation:
To find this we take the costs of the first place.
$438
Next we can look at the costs of the second place using x as the number of haircuts she'd do.
2x
Now we can set the two equal to each other to find the number of cuts.
438 = 2x
219 = x
Carrie would pay $438 and perform 219 haircuts each month.
Explanation:To find out how much Carrie would pay and how many haircuts that would be, we need to set up an equation.
Let's assume the number of haircuts per month is x.
For self-employment at The Belmont Salon, Carrie would pay a fixed monthly rent of $438, so her total cost would be $438.
For the franchise option, Carrie would pay $2 for every haircut. So the total cost would be 2x.
Setting up the equation: 438 = 2x
To solve for x, we divide both sides of the equation by 2:
x = 438 / 2 = 219
Therefore, Carrie would pay $438 and perform 219 haircuts each month.
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in the diagram, HE ||GF. Find DF
Answer:
WOwwwzerzzzzZZZZZZZZZZZZZZZZZZZZ
In a candy store, a $12.00 jar of candy is labeled, "35% off." what is the sale price of the jar of candy?
Answer:I belive the sale price is $11.65
Step-by-step explanation:
$12.00-$0.35
sorry if im wrong
slope= 9; intercept= 2
Answer:
y = 9x + 2
Step-by-step explanation:
The equation of a line with slope m and y-intercept b is
y = mx + b
If you were asked to write the equation of the line with slope = 9 and y-intercept = 2, then the equation is
y = 9x + 2
Answer:
y = 9x -2
Step-by-step explanation:
What is the equation of the line in standard form which has slope -2/5 and y-intercept 10?
Answer: y = -2/5x + 10
Step-by-step explanation:
The equation of a line is y=mx+b. In this problem, m (the slope) is -2/5 and b (the y-intercept) is 10.
Which of the following does not represent a function? graph of a sine wave function graph of a line with a negative slope and a y intercept of negative 5 graph of a positive parabola oriented about the y axis with y intercept negative 6 graph of an absolute value function oriented about the x-axis
A fruit stand has to decide what to charge for their produce. They decide to charge $5.30 for 1 apple and 1 orange. They also plan to charge $14 for 2 apples and 2 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?
Answer:
We cannot find a solution to the system of equations.
a+b = 5.30
2a + 2b = 14
Step-by-step explanation:
Let a = the price of an apple
let b = price of an orange
a+b = 5.30
2a + 2b = 14
Multiply the first equation by 2
2a+ 2b = 10.60
Subtract the second equation
2a+2b = 10.60
-2a+2b = 14
---------------------------
0 = -3.40
This is never true so there is no solution
Answer:
Can we find a unique price for an apple and an orange?
Choose 1 answer:
CORRECT (SELECTED)
No; the system has no solution.
Step-by-step explanation:
See attached!
q supp r and m q =22 degrees
Answer:
<R = 158
Step-by-step explanation:
Supplementary angles equal 180 degrees.
<Q + <R =180
22 + <R = 180
Subtract 22 from each side
22-22 + <R = 180-22
R = 158
Answer:
Option 2 - [tex]\angle R=158^\circ[/tex]
Step-by-step explanation:
Given : [tex]\angle Q[/tex] supp [tex]\angle R[/tex] and [tex]\angle Q=22^\circ[/tex]
To find : [tex]\angle R[/tex] ?
Solution :
Supp means the supplementary angle.
We know that,
The sum of two supplementary angle is 180°.
i.e. [tex]\angle Q+\angle R=180^\circ[/tex]
Substitute [tex]\angle Q=22^\circ[/tex],
[tex]22+\angle R=180^\circ[/tex]
[tex]\angle R=180-22[/tex]
[tex]\angle R=158[/tex]
Therefore, [tex]\angle R=158^\circ[/tex]
So, option 2 is correct.
Y=7 X=2 what is the value of x when y =21
Step-by-step explanation:
x might equal 6 because 21 divided by 7 is 3 so u multiply 3 by 2. You get 6. i think x equals 6. Hope this is right and hope this helped!
Answer:
6
Step-by-step explanation:
y times 3 equals 21 because 7 times 3 equals 21 so:
x times 3 equals 6 because 2 times 3 equals 6
Which symbol is the correct symbol for the figure shown
Answer:
The answer is c:
Step-by-step explanation:
A: RS can mean anything
B: both line segment continue
D: the line segments continue in both directions
NEED A FAST ANSWER
The graph shows the value of a car at different years after Gianna purchased it.
Which answer is the best estimate for the average rate of change between Year 4 and Year 9?
−$900/year
−$450/year
−$330/year
−$180/year
Answer:
Step-by-step explanation:
2.) −$180/year
The average rate of change between Year 4 and Year 9 is -$180 per year.
A linear equation can be used to represent a non linear line. A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the value of car after x years.
From the graph, at year 4, y = 2300, hence it is (4, 2300). At year 9, y = 1400, hence it is (9, 1400). Therefore:
[tex]Average\ rate\ of\ change=\frac{1400-2300}{9-4}= - 180[/tex]
Hence the average rate of change between Year 4 and Year 9 is -$180 per year.
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how to write slope-intercept form through (-1,3) and a slope of -1
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope m = -1 and the point (-1, 3). Substitute:
[tex]3=(-1)(-1)+b[/tex]
[tex]3=1+b[/tex] subtract 1 from both sides
[tex]2=b\to b=2[/tex]
Answer: y = -x + 2Find the range of values of x such that the quadratic function f(x)=(x+5)^2-16 is positive.
Answer:
f(x)=(x−5)2−16
Set the polynomial equal to y
to find the properties of the parabola.
y=(x−5)2−16
Use the vertex form, y=a(x−h)2+k
, to determine the values of a, h, and k
.
a=1
h=5
k=−16
Since the value of a
is positive, the parabola opens up.
Opens Up
Find the vertex (h,k)
.
(5,−16)
Find p
, the distance from the vertex to the focus.
Tap for more steps...
14
Find the focus.
Tap for more steps...
(5,−634)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=5
Answer:
x > -1 or x < -9
Step-by-step explanation:
(x + 5)^2 must be > 16 for f(x) to be positive.
(x + 5)^2 > 16
Taking square roots:-
x + 5 > 4
x > -1 (answer)
or x + 5 < -4
x < -9 (answer)
What is the circumference of the circle? r=6.4
Answer:
C = 40.2124
Step-by-step explanation:
The formula for circumference is
C = 2*pi*r
where r is the radius.
Substitute what we know.
C = 2 * pi * 6.4
C = 12.8 * pi
If we use substitute pi in, we get
C = 40.2124
WHATS THE ANSWERS PLS TELL MEH PLS
Answer: 3) 9 7/10 (C)
4) 26 1/12 pounds (A)
5) 17 5/6 miles (D)
Answer:
3. C
4. A
4. D
Step-by-step explanation:
3)
When adding two fractions, you must add them with the same denominator. This means finding the lowest common multiple of 10 and 5, which is 50. Simply multiply each fraction by the denominator of the opposite fraction:
[tex]\frac{4}{5} * 10 = \frac{40}{50}[/tex]
[tex]\frac{9}{10} * 5 = \frac{45}{50}[/tex]
Add the two fractions together:
[tex]\frac{40}{50} + \frac{45}{50} = \frac{85}{50} = 1 \frac{35}{50} = 1 \frac{7}{10}[/tex]
7 + 1 + 1 + 7/10 = 9 7/10
4)
Again, make the denominator the same number by multiplying the fraction by the denominator of the other fraction:
[tex]\frac{3}{4} * 3 = \frac{9}{12}[/tex]
[tex]\frac{1}{3} * 4 = \frac{4}{12}[/tex]
9/12 + 4/12 = 13/12 = 1 1/12
10 + 15 + 1 + 1/12 = 26 1/12
5)
Again, multiply the fraction by the denominator of the opposite fraction:
[tex]\frac{1}{2} * 3 = \frac{3}{6}[/tex]
[tex]\frac{1}{3} * 2 = \frac{2}{6}[/tex]
3/6 + 2/6 = 5/5
7 + 6 + 4 + 5/6 = 17 5/6
I need help 9-16!!Thank u!
Answer:9-16=-7
Step-by-step explanation:
write a story problem that represents 528 divided by 24
Answer:
Micheal owns a farm. On that farm he plants 528 oranges. After harvest, he decides to pack all of his oranges into crates to sell. If he has 24 crates, how many oranges should he pack into each crate? Will there be too many oranges in which there will be some left over?
Step-by-step explanation:
50 is 125% of what number? 12.5 40 62.5 112.5
Answer:
40
Step-by-step explanation:
divide by 5 if there is a decimal it is wrong
12.5/5=2.5
62.5/5=12.5
40/5=8
112.5/5=22.5
Solve the following problems: Given: ∆AFD, m ∠F = 90° AD = 14, m ∠D = 30° Find: Area of ∆AFD
We have the triangle 30° - 60° - 90°.
The sides are in proportion: 2 : √3 : 1
(look at the picture).
[tex]2a=14[/tex] divide both sides by 2
[tex]a=7[/tex]
[tex]a\sqrt3=7\sqrt3[/tex]
The area of a trinagle AFD:
[tex]A_{\Delta}=\dfrac{1}{2}(7)(7\sqrt3)=\boxed{\dfrac{49\sqrt3}{2}}[/tex]
a business reports a net income of -6,291 over a 9 month period. What is the average income per month for that period
Mary had 74 dollars to spend on 7 books after buying them she had 11 dollars how much did each book cost
Answer: Each book costs $9
Step-by-step explanation:
74-11 = 63
63 divided by 7 = 9
That's the answer
Answer: $9
Step-by-step explanation: 74 - 11 = 63. 63 divided by 7 equals 9. So each book cost $9
Complete the equation of the graphed linear function in point-slope form. y – (–2) = (x – ) The graph of the function goes through point 1, negative 2 and point 2, 2.
Answer:
[tex]y-(-2) = 4(x-1)[/tex]
Step-by-step explanation:
Point-slope form of the equation of a straight line is:
[tex]y-y_0 = m(x-x_0)[/tex] (1)
The two points given in the problem are:
[tex](x_0,y_0)=(1,-2)\\(x_1,y_1)=(2,2)[/tex]
So, the slope of the line is given by:
[tex]m=\frac{y_1 -y_0}{x_1 -x_0}=\frac{2-(-2)}{2-1}=\frac{4}{1}=4[/tex]
And substituting into eq.(1), we find:
[tex]y-(-2) = 4(x-1)[/tex]