What is the slope of the line shown below?
5
-4
O A.-4.
OB.
(5.1)
4
(-3,-1)
O C. 4.
OD.
Answers
Answer:
D
Step-by-step explanation:
We can first eliminate options A and B because they are both negative slopes and the graph shown is an increasing slope, meaning the answer is positive.
Next, we calculate the slope with the formula (y2 - y1) / (x2 - x1) to get 1/4.
1/4 is the slope.
Related Questions
The expression for the income of an amusement park is given, where x is the entry price: 96. - 4c? Aside from free entry, what entry price will result in no income? O S4 0 $12 0 $24 O $96
Answers
The income of the amusement park is a function of the price of the ticket
The entry price that will result in no income is $24
How to determine the entry price that results in no incomeThe expression for the income is given as:
[tex]96x - 4x^2[/tex]
When the income is 0, we have the following equation
[tex]96x - 4x^2 = 0[/tex]
Factor out 4x
[tex]4x(24 - x) = 0[/tex]
Split the equation
4x = 0 or 24 - x = 0
Solve for x
x = 0 or x = 24
This means that, the entry price that will result in no income is $24
Read more about income and expenses at:
https://brainly.com/question/13628349
The tree in Donnas backyard is 8.6 m high. How high is it in centimeters?
Answers
Moesha needs 79.50 for a class trip. She already has 22.35 and she can earn the rest by babysitting for 8 hours. write an equation that can be solved to find h, moesha;s hourly earnings
Answers
Answer:
79-22=8h
Step-by-step explanation:
hope this helps!
The distance from the earth to the moon is 3.84 x 105 km
a) Find this distance in metres.
b) How long would it take a spaceship to travel to the moon from earth if its average speed was 400 ms l?
Answers
Part (a)
Answer: [tex]3.84 \times 10^8 \text{ meters}[/tex]---------------------
Explanation:
Multiply by 1000 to go from km to meters.
This is because 1000 m = 1 km.
Multiplying by 1000 in scientific notation means we add 3 to the exponent 5. The 3 is because 1000 = 10^3.
So the [tex]3.84 \times 10^5 \text{ km}[/tex] becomes [tex]3.84 \times 10^8 \text{ meters}[/tex]
===========================================================
Part (b)
Answer in standard form: 960,000 seconds
Answer in scientific notation: [tex]9.6\times10^{5} \text{ seconds}[/tex]
---------------------
Work Shown:
[tex]\text{distance} = \text{rate}*\text{time}\\\\\text{time} = \frac{\text{distance}}{\text{time}}\\\\\text{time} = \frac{3.84 \times 10^8 \text{ meters}}{400 \ \text{ m}/\text{s}}\\\\\text{time} = \frac{3.84 \times 10^8}{4 \times 10^2} \text{ seconds}\\\\\text{time} = \frac{3.84}{4}*\frac{10^{8}}{10^2} \text{ seconds}\\\\\text{time} = 0.96 \times 10^{8-2} \text{ seconds}\\\\\text{time} = 0.96\times 10^{6} \text{ seconds}\\\\[/tex]
[tex]\text{time} = (9.6\times10^{-1})\times10^{6} \text{ seconds}\\\\\text{time} = 9.6\times(10^{-1}*10^{6}) \text{ seconds}\\\\\text{time} = 9.6\times10^{-1+6} \text{ seconds}\\\\\text{time} = 9.6\times10^{5} \text{ seconds}\\\\\text{time} = 960,000 \text{ seconds}\\\\[/tex]
To go from the scientific notation to standard form, move the decimal point 5 spaces to the right. The 5 is from the exponent.
A) Jose and Anna are planning a Halloween Party. They are making goodie bags and have 30
Lollipops and 42 KitKat bars. If they want the same amount of candy in each goodie bag, what
the greatest number of goodie bags they can make?
B) How many lollipops and KitKat bars will be in each goodie bag?
C) Using the distributive property, factor the sun of terms 30 and 42 as a product of the GCF and a sum.
D) John and his two friends are buying tickets to the Halloween party. Each tickets cost $2.75. They paid with a $50.00 bill, what is their change?
Answers
Answer:
6 Lollipops in 5 bags and 6 KitKat Bars in 7 bags
Step-by-step explanation: Its 6 x 5 which equals 30 and 6 x 7 that equals 42. Hope it's correct :)
Select the point on the number line that best approximates the location of √14
Answers
Answer:
between 3 and 4 around 3[tex]\frac{3\\}{4}[/tex]
Answer: 3.5
Step-by-step explanation:
You want to choose two numbers that have perfect roots. One above 14, and one below 14. The nearest two perfect roots to 14 is 9 and 16. We have the following inequality:
[tex]\sqrt{9} < \sqrt{14} < \sqrt{16}[/tex]
[tex]3 < \sqrt{14} < 4[/tex]
This means the square root of 14 is somewhere between 3 and 4. A good estimate would be 3.5
Identify the dividend, quotient, divisor, and remainder of x^3 + 2x^2 + 3x - 4 = (x^2 + 3x + 6) (x - 1) + 2. What do you know about the function at x = 1?
Answers
Answer:
Step-by-step explanatio
may not be real numbers. Our final theorem in the section gives us an upper bound on the number
of real zeros.
Theorem 3.7. Suppose f is a polynomial of degree n ≥ 1. Then f has at most n real zeros,
counting multiplicities.
Theorem 3.7 is a consequence of the Factor Theorem and polynomial multiplication. Every zero c
of f gives us a factor of the form (x − c) for f (x). Since f has degree n, there can be at most n of
these factors. The next section provides us some tools which not only help us determine where the
real zeros are to be found, but which real numbers they may be.
We close this section with a summary of several concepts previously presented. You should take
the time to look back through the text to see where each concept was first introduced and where
each connection to the other concepts was made.
Connections Between Zeros, Factors and Graphs of Polynomial Functions
Suppose p is a polynomial function of degree n ≥ 1. The following statements are equivalent:
• The real number c is a zero of p
• p(c) = 0
• x = c is a solution to the polynomial equation p(x) = 0
• (x − c) is a factor of p(x)
• The point (c, 0) is an x-intercept of the graph of y = p(x)
3.2 The Factor Theorem and The Remainder Theorem 265
3.2.1 Exercises
In Exercises 1 - 6, use polynomial long division to perform the indicated
Cathy and iris are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip,how many ways are there?
Answers
Cathy and Iris have 259,459,200 ways to skip countries.
Data;
Number of countries they are planning to visit = 9Number of countries they would like to visit = 13CombinationTo solve this problem, we would have to use a mathematical procedure known as combination.
Let us calculate the number of countries that would have to skip.
[tex]13 - 9 = 4[/tex]
To decide which country they have to skip, it would be 4 out of 13.
[tex]x = ^1^3C_4 = \frac{13!}{4!}[/tex]
Let's solve this
[tex]\frac{13!}{4!} = \frac{13*12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\ \frac{13!}{4!} = 13*12*11*10*9*8*7*6*5 = 259459200 ways[/tex]
Cathy and Iris have 259,459,200 ways to skip countries.
Learn more on combination here;
https://brainly.com/question/12468032
A rectangle has a width that is 3 meters more than twice the length. The area of the rectangle is 44 and square. What are the length and the width of the rectangle?
Answers
Answer:
8x11/2= 44 it's 44
Step-by-step explanation:
A=44 = LW = (2W-3)W = 2W^2 -3W
2W^2-3W -44 = 0
(2W-11)(W+4) = 0
2W-11 = 0
2W = 11
W = 11/2 = 5 1/2 meters
L=2W-3 = 11-3 = 8
8x11/2= 44
length = 8 m, width = 5 1/2 m
PLEAS HELP ILL GIVE YOU 100 POINTSS!! NEED BY SUNDAY
1) Which of the following methods would be the easiest to use to solve x^2−6=0?
All three methods would be easy and effective.
A. factoring
B. using the quadratic formula
C. isolating the x2 term and finding the square root of both sides
2)Which of the following methods would be the easiest to use to solve x^2−11=0?
A. factoring
B. All three methods would be easy and effective.
C. using the quadratic formula
D. isolating the x2 term and finding the square root of both sides
3) Which of the following methods would be the easiest to use to solve x^2−11=0?
A. factoring
B. All three methods would be easy and effective.
C. using the quadratic formula
D. isolating the x2 term and finding the square root of both sides
4)Which equation would be the best to solve by completing the square?
A. 3x^2+4x=−2
B. x^2 + 11x = 40
C. x^2 = 49
D. x^2 + 10x = 75
Answers
Which of the following methods would be the easiest to use to solve x²−6=0?
C. isolating the x² term and finding the square root of both sides.Solution ⤵️[tex] \tt \: {x}^{2} - 6 = 0 \\ \tt {x}^{2} = 6 \\ \tt \: x = \pm \sqrt{6} \\ \tt \: x = - \sqrt{6} , x = \sqrt{6} [/tex]
And done, Solved!
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Which of the following methods would be the easiest to use to solve x²−11=0?
D. isolating the x² term and finding the square root of both sides[tex] \tt {x}^{2} - 11 = 0 \\ \tt \: {x}^{2} = 11 \\ \tt \: x = \pm \sqrt{11} \\ \tt \: x = - \sqrt{11} , x = \sqrt{11} [/tex]
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Which equation would be the best to solve by completing the square?
The equation in option C will be the best because the constant in the equation is a perfect square root...[tex] \tt {x}^{2} = 49 \\ \tt \: x = \pm7 \\ \tt \: x = - 7, x = 7[/tex]
evatuate expreeion of the valube 5 (9+d) - 6
Answers
Answer:
39 + 5d
Step-by-step explanation:
First multiply 5 by 9 and 5 by d then subtract 6 from 45 (which you get from multiplying 5 by 9) and you get 39 and multiply 5 by d so you get 39 + 5d
let's solve:-
[tex]⇒5(9 + d) - 6(given \: equation) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ ⇒by \: bodmas \: rule \: distribute \: 5 \: with \: 9 \: nd \: d \\ \\⇒ 45 + 5d - 6 (subtracting \: like \: terms) \: \: \: \: \: \: \: \: \\ \\⇒ 39 + 5d \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Which choice gives a reasonable explanation why Mona bought an item using credit .
A.Mona wants to pay interest on her purchase,
B.Mona wanted to earn interest on her purchase
C.The item cost more than Mona was able to pay
D.Mo
na had more money than she needed. i will give brainliest
Answers
(I asked Siri)
I'm so sorry if it's wrong!
Answer:
C The Item cost more than mona was able to pay
Step-by-step explanation:
I took the test
At the start of 2014 Lucy's house was worth £200 000
The value of the house increased by 5% every year.
Work out the value of her house at the start of 2017.
Answers
Answer:
200000 x 1.05^3=231525
Step-by-step explanation:
X 1.05 because the price is increasing by 5% and ^3 because there are three years between 2014 and 2017
Amari bought 12 mini muffins for 5.40 how many mini muffins can Amari buy with 4.00
Answers
Answer:
8 mini muffins
Step-by-step explanation:
*Bolded is important*
1. To help you get a better feel of the wording, let me give you an example:
The Walmart Franchise costs 5$ each. If I have 10$, how much franchises can I buy? See, it becomes simpler. It's 2.
This is what it is asking here:
If he has $5.40, and he can buy 12 mini muffins, we just need to find the cost of these mini muffins to solve the second part.
2. Solve
To find the solution to this equation, I will give you another example.
If I like drinking water, and I can buy 2 Pools of water for 2 dollars, how much does each pool of water cost?
It costs $1, which is not hard to solve.
What did we do to get the answer of $1? We divided. We divided 2/2 to get one. We have to do the same in this case.
Money is x and muffins is m.
Hence the equation is:
y = x/m, or in this case,
y=5.40/12, which will give us the cost of the muffins.
5.4/12 = $0.45.
Now, since we know the cost, we can find the answer.
To find the total amount of muffins he can buy with $4, we have to
divide.
X is Money and C is Cost per muffin. Hence, the equation is:
y = x/c or,
y = 4/0.45 which equals 8.8888888888888889.
Now, you cant buy 8/9 of a muffin. You can only buy a whole.
So he can buy 8 muffins.
3. Confirm
Lets confirm that this is true for the first equation:
5.40/0.45= 12, which is what the equation states.
So 4/0.45 = 8.899 is how much he could buy, but he can only buy 8 because, again, you cant buy 8/9 of a muffin
y = 8.
Which graph represents the function f(x) = 2/x-1 +3
Answers
Answer:
Bottom left
Step-by-step explanation:
The limit as x approaches infinity is 3, so there is a horizontal asymptote at 3. So eliminate top left and bottom right.
Also, the fraction 2/(x-1) is undefined when x=1 (since the denominator is 0), so there is a vertical asymptote at x=1. Eliminate top right
So, your answer is the bottom left graph.
Helllp X _____ X
What Is : The Smallest Perfect number
Answers
Answer : 6
Explanation : 6 Is The Smallest Number Which Is The Sum Of 1, 2, And 3. Other Perfect Numbers Are 28, 496, And 8,128.
Answer: 6
Step-by-step explanation: is A Perfect Number
(please help!) Find the surface area of the prism.
Answers
Explanation 6+6+14+14+21+21=82
Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square inches. Paper completely fills the bin to a height of 17 inches. What is the volume of paper in the recycling bin?
Answers
According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.
What is the volume of a rectangular prism?It is given by the multiplication of the base area by the height, that is:
[tex]V = S_bh[/tex]
In this problem, we have that the measures in square inches and inches, respectively, are given by:
[tex]S_b = 400, h = 17[/tex]
Hence:
[tex]V = 400 \times 17 = 6800[/tex]
The volume of paper in the recycling bin is of 6800 cubic inches.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
Answer:
6800
Step-by-step explanation:
what is the problem with Carter's Budget?,,
Answers
Answer: carter has not saved any money
Step-by-step explanation:
Based on the type of equations in the system, what is the greatest possible number of solutions? startlayout enlarged left-brace 1st row x squared y squared = 9 2nd row 9 x 2 y = 16 endlayout 1 2 3 4
Answers
The possible number of solutions to the equations in the system is 2. A solution is a collection of data designated to the unexplored variables.
What is the solution?A solution is a set of values assigned to the unknown variables that ensure the equation's equality.
To put it another way, a solution is a value or a set of values (one for each unknown) that, when substituted for the unknowns, makes the equation equal.
The given system of equation is;
[tex]x^2+y^2=9\\9x+2y=16[/tex]
The standard equation of the circle is;
[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex]
On comparing the given equation with the standard equation;
The first equation shows the center is at origin(0,0). and radius is 3.
The second equation shows the given equation is a straight line.
As we know that the straight line can only intersect a circle at a maximum of 2 points.
Hence the possible number of solutions to the equations in the system is 2.
To learn more about the solution refer to the link;
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ali and beth divide £35 in the ratio of 2:5 what do they get
Answers
the total units it’s divided to is 2+5=7
therefore, one unit is worth 35/7=5 pounds
since ali received 2 units and a unit is worth 5 pounds, ali received 2x5=10pounds
and beth received 5 units, 5x5=25 pounds
Ali gets £10
Beth gets £25
Step-by-step explanation:
The amount is divided into 7 equal parts since 2+5=7.
since Ali's name comes first, he gets 2 of the parts as the 2 is the first number in the ratio. Beth gets 5 parts, since her name is the second.
share the £35 between the 7 parts by dividing 35 by 7.
35÷7=5
Ali gets 5× £2= £10
Beth gets 5×£5 =£25
5×5=25 (Beth's portion)
Simplify the expression –3(x 3)2 – 3 3x. what is the simplified expression in standard form? –3x2 – 18x – 27 –3x2 – 15x – 30 –3x2 3x 6 –3x2 3x – 30
Answers
The simplification of the given expression will be [tex](-3x^2-15x-30)[/tex].
What will be the simplification of the given expression?Given expression is
[tex]-3(x+2)^2 -3+3x[/tex]
By applying [tex](a+b)^2=a^2+2ab+b^2[/tex] we get
[tex]-3(x^2+6x+9)-3+3x[/tex]
Multiplying by -3 into the whole bracket we get
[tex]-3x^2-18x-27-3+3x[/tex]
[tex]-3x^2-18x-30+3x[/tex]
[tex]-3x^2-15x-30[/tex]
Thus the simplification of the given expression will be [tex](-3x^2-15x-30)[/tex]
To know more about Simplification follow
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Answer:
B. –3x^2 – 15x – 30
Step-by-step explanation:
Evaluate the expression for the given value of x.
4x + 6 for x = 7
The solution is
Answers
28 + 6 = 34
the answer to this equation is 34
Eva is solving the equation 4(x+3/2)=8. She says, “I can subtract 3/2 from each side to get and then divide by 4 to get x=13/8. Dakota says, “I think you made a mistake.” Describe the mistake that Eva made.
Answers
x = 1/2
Find the final
price $
laptop with 5% sales tax
5
of a $719.99
Answers
Answer:
■ Sales tax: $36.00
■ Cost/Price before ST: $719.99
■ Total Cost/Price including ST: $755.99
Step-by-step explanation:
Answer: $755.99
Step-by-step explanation: The first step in finding how much an item or product costs with tax is to take the price of the product and multiply it by the percentage of sales tax to find out how much the tax costs. The next step is to take this cost of the tax and add it to the original price of the product. This gives you your final cost. This gives us the following equations.
In this problem the sales tax is 5%, which is equal to 0.05
(719.99) (0.05) = 35.9995
35 + 719.99 = 755.9895
The answer we get from the equations is 755.9895. Rounding to the nearest penny, or hundredth space, gives us our final answer of $755.99
find the height of the tree to the nearest foot.
Answers
Answer:
height = 50 ft (nearest foot)
Step-by-step explanation:
This creates a right triangle, where:
horizontal leg = 72 ftvertical leg = height of treeangle of elevation (between horizontal leg and hypotenuse) = 34.6°Use the tan trig ratio to find the height.
[tex]\mathsf{\tan\theta=\dfrac{opposite \ side}{adjacent\ side}}[/tex]
[tex]\implies \mathsf{\tan(34.6)=\dfrac{height}{72}}[/tex]
[tex]\implies \mathsf{height=72\tan(34.6)}[/tex]
[tex]\implies \mathsf{height=50 \ ft \ (nearest\ foot)}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\Rrightarrow tan34.6=\dfrac{x}{72}[/tex]
[tex]\\ \rm\Rrightarrow x=72tan34.6[/tex]
[tex]\\ \rm\Rrightarrow x=72(0.689)[/tex]
[tex]\\ \rm\Rrightarrow x=49.61ft[/tex]
height approximately 50ftThe graph of y = square root of x has been translated to the right 3 units and down 9 units. What is the equation of the translated graph?
A. y = 3 + +9
B. y = 9-3+3
C. y=3-√9 - x
D. y = -9+VT - 3
Answers
The translated function is:
g(x) = √(x - 3) - 9
How to find the translation?
The transformations used here are:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
If N is positive, the shift is to the left.If N is negative, the shift is to the right.Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
If N is positive, the shift is upwards.If N is negative, the shift is downwards.So, if we have a translation of 3 units right and 9 units down, this would be written as:
g(x) = f(x - 3) - 9
Replacing f(x) by the actual function we get:
g(x) = √(x - 3) - 9
If you want to learn more about translations, you can read:
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If a trapezoid has an area of 60 m² and bases of 2 m and 6 m, what's its height?
Answers
Given :
Base = 2 m and 6 m.Area = 60 m².⠀
To find :
The height.⠀
Solution :
⠀
We know,
[tex]{ \longrightarrow{\qquad \sf{ \pmb {\dfrac{1}{2 } \times (b_{1} + b_{2}) \times h = {Area_{(Trapezoid)} } }}}}[/tex]
⠀
Now, Substituting the values :
⠀
[tex]{ \longrightarrow{\qquad \sf{ {\dfrac{1}{2 } \times (2 + 6) \times h = {60 } }}}}[/tex]
⠀
[tex]{ \longrightarrow{\qquad \sf{ {\dfrac{1}{2 } \times 8 \times h = {60 } }}}}[/tex]
⠀
[tex]{ \longrightarrow{\qquad \sf{ {\dfrac{8}{2 } \times h = {60 } }}}}[/tex]
⠀
[tex]{ \longrightarrow{\qquad \sf{ 4 \times h = {60 } }}}[/tex]
⠀
[tex]{ \longrightarrow{\qquad \sf{ h = { \dfrac{60}{4} } }}}[/tex]
⠀
[tex]{ \longrightarrow{\qquad \sf{ \pmb { h = {15} } }}}[/tex]
⠀
Therefore,
The height of the trapezoid is 15 m .i dont really understand this and i need it done by the end of the dday
Answers
Answer:
1.
A: GI= 60
B: MH= 14
C: IK= 23
D: HI= 46
E: MG= 24
2.
A: TU= 38
B: VY= 17
C: UZ= 15
D: WV= 15
E: TV= 30
Step-by-step explanation:
This probally isnt all right but most of it most likely is.
If an island's only residents are penguins and bears, and if there are 24 heads and 64 feet on the island, how many penguins and how many bears are
on the island
Answers
Penguins (P): 1 H + 2 Ft
Bears (B): 1 H + 4Ft
Heads Equation: 1P + 1B = 14 → -2(1P + 1B = 14) → -2P - 2B = -28
Feet Equation: 2P + 4B = 30 → 1(2P + 4B = 30) → 2P + 4B = 30
2B = 2
B = 1
Heads Equation: 1P + 1B = 14 → 1P + 1(1) = 14 → P = 13
Answer: 13 Penguins and 1 Bear