Write an equation in point-slope form of the line through point p(9, -1) with slope -5.
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Related Questions
-1/2(7z+4)+1/5(5z-15)
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The tank for a car holds
18
18
gallons. The gasoline gauge shows the tank is
1
3
13
full. How much gas is still in the tank? Give your answer as a whole number or as a mixed fraction reduced to lowest terms
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[tex]\bf 18\cdot \cfrac{1}{3}\implies \cfrac{18}{3}\implies \stackrel{gallons}{6}[/tex]
To calculate the amount of gas left in the tank, you should multiply the total capacity of the tank, which is 18 gallons, by the fraction that represents the amount of gas remaining, which is 1/3. Thus, there are 6 gallons of gas still in the tank.
Explanation:
To answer this question, we should multiply the total capacity of the tank, which is 18 gallons, by the fraction that represents the amount of gas remaining, which is 1/3. This will give us the number of gallons of gas left.
Now, apply the multiplication: 18 gallons * 1/3 = 6 gallons.
So, there are 6 gallons of gas still in the tank.
Learn more about multiplication of fractions here:https://brainly.com/question/9281754
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How does translating a figure using the formal definition of a translation compare to the previous method of translating a figure?
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This method is easy to understand and easy to apply to any figure than the other methods.
What is a translation of the figure?When the figure is moved from one place to another place is called translation of the figure.
When we add in x then the figure will translate toward the left.
And when we subtract in x then the figure will translate toward the right.
If we add in y then the figure will translate downward.
And when we subtract in y then the figure will translate upward.
This method is easy to understand and easy to apply to any figure than the other methods.
More about the translation of the figure link is given below.
https://brainly.com/question/933695
at the metal-casting company where i work, i must set up a conveyor system to move castings from the furnace to the heat treatment area 55 yards away. the castings cool at the rate of 0.03 degrees fahrehnheit per second and must not be allowed to cool more that 7 degree's fahrenheit before being heat rtreated. what is the minimum speed per second that the conveyor must move?
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Minimum speed = 55 yd * 3 ft/yd / 233.3 s
= 0.707 ft/s
this number is the same as 31 + 880000
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hope this helps
Which metric unit would you use to measure: 1.The length of a newspaper. 2. The height of a lamp post. 3. The length of a bus route. 4. The width of a ruler.
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liters is liquid
meters is how long or wide
grams is weight
i would use meters
I'll give BRAINIEST
.............
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what percent of 29.5 is 10.03
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[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 29.5&100\\ 10.03&p \end{array}\implies \cfrac{29.5}{10.03}=\cfrac{100}{p}\implies p=\cfrac{10.03\cdot 100}{29.5}[/tex]
Ernie's favorite movie of the year is now in its fourth week in the theaters. He is gathering data about its earnings each week. He is also interested in knowing how other recently released movies are doing at the box office compared with his favorite movie. The table gives the earnings of the top-five movies during the third week that Ernie’s favorite movie, movie A, was showing in theaters. Movie Earnings Average Ticket Price A $26,088,808.74 $8.35 B $60,394,938.12 $9.72 C $23,659,617.52 $8.12 D $34,311,887.98 $7.57 E $10,505,611.08 $8.46
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To compare the relative success of his favorite movie to others, the student can calculate each movie's ticket sales by dividing its total earnings by the average ticket price. This provides a clearer idea of the viewership each movie had, which can be more informative than simple box office earnings.
Explanation:The student is interested in the earnings of his favorite movie in relation to other recently released films. To compare these films, one could calculate each movie's ticket sales by dividing its earnings by the average ticket price. For instance, the ticket sales for the movie A would be calculated by dividing its earnings, $26,088,808.74, by its average ticket price, $8.35. This calculation would need to be repeated for each movie to have a clear comparison.
These calculations will help Ernie understand how many people, roughly, saw each movie, since box office earnings alone can be skewed by differing ticket prices. In other words, a movie could have higher earnings than another but still have fewer viewers if its tickets were significantly more expensive.
Learn more about Comparison of Movie Earnings here:https://brainly.com/question/33342471
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Why do you sometimes have only one multiplication sentence for an array?
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I need help please 4x-10=2(2x-5)
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What integer is equivalent to 9 3/2
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Answer: 21/2
Can you answer all of these please?!?!
1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.(1 point)
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence. (3 points)
Answer:
2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
(a) (2 points)
(b) (2 points)
(c) (2 points)
Answer:
3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Tanya's items. (1 point)
(b) Solve the equation. Show your work. (2 points)
(c) Check your solution. Show your work. (1 point)
(d) State the solution in complete sentences. (1 point)
Answer:
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kim-2x
x+2x=36
3x=36
x=12
2x=24
Kim is 24 years old and her sister is 12 years old.
3) Tanya-3x
Tony-4y
x-2.25=y
3x=4y
3x=4x-9
9=x
6.75 =y
Tanya's was 9 $ and Tony's was 6.75 $
Kelly wants to buy 5.6 feet of wood for a bookshelf. The wood costs $3.25 per foot. If Kelly has $18.50 to spend, how much change will she receive?
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How do I solve a-5/5=5
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a - 1 = 5
a - 1 (+1) = 5 (+1)
a = 6
if you mean (a-5)/5 = 5
((a - 5)/5) (5) = 5(5)
a - 5 (+5) = 25 + 5
a = 30
hope this helps
Graph y−5=−23(x+9) using the point and slope given in the equation. Use the line tool and select two points on the line.
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i think it may be correct
Answer here is correct hope this helps :)
What is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 13 ?
A)y−2=13(x−6)
B) y+6=13(x+2)
C) y−6=13(x−2)
D) y+2=13(x+6)
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Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several parks to visit:
• She wants to hike for 2 hours.
• She wants to spend no more than 6 hours away from home.
• She can average 50 miles per hour to and from the park.
Write and solve an inequality to find possible distances from Alexandria’s home to a park that satisfies the conditions.
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Answer: 27
i would say 54/2=27
Step-by-step explanation:
How many sixteens are in 15/16
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hope this helps
Which second-degree polynomial function has a leading coefficient of –1 and root 5 with multiplicity 2?
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[tex]\displaystyle{f(x)=ax^2+bx+c[/tex], where [tex]a\neq0[/tex].
The leading coefficient is a, so we have a=-1.
5 is a double root means that :
i) f(5)=0,
ii) the discriminant D is 0, where [tex]D=b^2-4ac[/tex].
Substituting x=5, we have
f(5)=a(5)^2+b(5)+c,
and since f(5)=0, and a is -1 we have:
0=-25+5b+c
thus c=25-5b.
By ii) [tex]\displaystyle{b^2-4ac=0[/tex].
Substituting a with -1 and c with 25-5b we have:
[tex]\displaystyle{b^2-4ac=0[/tex]
[tex]\displaystyle{b^2-4(-1)(25-5b)=0[/tex]
[tex]\displaystyle{b^2+4(25-5b)=0[/tex]
[tex]\displaystyle{b^2-20b+100=0[/tex]
[tex]\displaystyle{(b-10)^2=0[/tex]
[tex]\displaystyle{b=10[/tex]
Finally we find c: c=25-5b=25-50=-25
Thus the function is [tex]\displaystyle{f(x)=-x^2+10x-25[/tex]
Remark: It is also possible to solve the problem by considering the form
[tex]f(x)=-1(x-5)^2[/tex] directly.
In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is [tex]f(x)=a(x-r)^2[/tex]
Answer:
f(x) = 2x2 – 4x – 30
Step-by-step explanation:
Got it right
Which would most likely be graphed using a continuous graph? Check all that apply. (Medal for correct answer.
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Question:
Which would most likely be graphed using a continuous graph? Check all that apply.
Answer:
B. Total cost, c, of buying g pounds of broccoli.
C. Speed of a car, s, as it accelerates over time, t.
E. total distance, d, that has been driven over time, t.
F. decrease in outside temperature, F, one evening over time, t.
Hope this helped!
First, rewrite 9/10 and 23/25 so that they have a common denominator.
Then, use
<, =, or > to order 9/10 and 23/25
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[tex]\bf \cfrac{9}{\boxed{10}}\qquad \qquad \cfrac{23}{\boxed{25}} \\\\\\ \cfrac{9\cdot \boxed{25}}{10\cdot \boxed{25}}\implies \cfrac{225}{250}\qquad \qquad \qquad \cfrac{23\boxed{10}}{25\cdot \boxed{10}}\implies \cfrac{230}{250}\\\\ -------------------------------\\\\ \textit{so, which is larger then?}\qquad \cfrac{225}{250}~or~\cfrac{230}{250}?[/tex]
surely you can tell.
9/10=45/50 (multiply by 5)
23/25=46/50 (multiply by 2)
46/50 > 45/50 therefore
23/25 > 9/10.
Hope this helps :)
store decreased its price on a computer by $112 to $478. What was the original price
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Answer:
$590.
Step-by-step explanation:
Let x be the original price of computer.
We have been given that a store decreased its price on a computer by $112 to $478.
This means x minus 112 equals to 478. We can represent this information in an equation as:
[tex]x-\$112=\$478[/tex]
Let us add $112 to both sides of our equation.
[tex]x-\$112+\$112=\$478+\$112[/tex]
[tex]x=\$590[/tex]
Therefore, the original price of computer was $590.
how do i graph y=1/2Sinø/2?
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[tex]\bf \bullet \textit{ stretches or shrinks}\\ \left. \qquad \right. \textit{horizontally by amplitude } |{{ A}}|\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]
[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}[/tex]
[tex]\bf \bullet \textit{function period or frequency}\\ \left. \qquad \right. \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ \left. \qquad \right. \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)[/tex]
now, with that template in mind,
[tex]\bf \stackrel{parent~function}{y=sin(\theta )}\qquad \qquad y=\stackrel{A}{\frac{1}{2}}sin\left(\stackrel{B}{\frac{1}{2}}\theta \right) \\\\\\ Amplitude\implies \frac{1}{2} \\\\\\ Period\implies \cfrac{2\pi }{B}\implies \cfrac{2\pi }{\frac{1}{2}}\implies 4\pi [/tex]
which is pretty much the same sin(θ) function, but squished by 1/2 and elongated up to 4π, check the picture below.
If a bottle rotates through 270 degrees in 3 seconds how many degrees does it rotate in 2 seconds
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I divided 270 by 3, which was 90. Then, I multiplied 90 by 2. Which was 180.
90 sec per spin
then you multply by two for two spins
90x2=180
Answer is 180 per sec
Beth sold half of her comic books and then bought nine more she now has 28 how many did she have to start with
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19 + 19 = 38
she started with 38 comics
Suppose it costs $ 20 per day and $ 0.12 per mile to rent a car. What is the total bill if the car is rented for 3 days and is driven 140 miles?
The total bill is $_
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0.12 per mile for 140 miles = 0.12(140) = 16.80
for a total cost of : 60 + 16.80 = 76.80 <==
how can you use a mapping diagram to determine the domain and the range of a relation?
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Step 2: A relation is a function if each element in the domain is paired with one and only one element in the range.
Step 3: From the mapping diagram, it can be observed that the given relation is not a function as '3' in the domain is paired with two elements - 1 and - 2 in the range and '6' is paired with - 1 and - 2.
Domain Range
3 | -1
|
|
6 | -2
The method of using a mapping diagram to determine the domain and the range of a relation is outlined in; Steps 1 to 3 below.
A mapping diagram is one that shows how the elements are paired. Furthermore It is drawn like a flow chart for a function to depict the input and output values.Now, mapping diagrams consists of two parallel columns. The first column is one that represents the domain of a function while the second column represents the range of the function.
Now the steps in using a mapping diagram to determine the domain and the range of a relation are;
Step 1: Draw the mapping diagram for the given function relation.Step 2: A relation from the mapping diagram will be tagged as a function if each element in the domain column is paired with only one element in the range columnStep 3: However, if an element in the domain column of the mapping diagram can be paired to than 1 element in the range column, then the relation is said to not be a function.Read more about mapping diagrams at; https://brainly.com/question/1625866
What is the largest place value of 585
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What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2?
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Answer:
[tex]\frac{765}{128}[/tex]
Step-by-step explanation:
We have been given that 1st term of a geometric series is 3 and common difference is 1/2 . We are asked to find the sum of 1st 8 terms of the given series.
We will use geometric series formula to solve our given problem.
[tex]S_n=\frac{a_1(1-r^n)}{1-r}[/tex]
Upon substituting our given values in the above formula we will get,
[tex]S_8=\frac{3(1-(\frac{1}{2})^8)}{1-\frac{1}{2}}[/tex]
[tex]S_8=\frac{3(1-\frac{1^8}{2}^8)}{\frac{2-1}{2}}[/tex]
[tex]S_8=\frac{3(1-\frac{1}{256})}{\frac{1}{2}}[/tex]
[tex]S_8=\frac{3(\frac{256-1}{256})}{\frac{1}{2}}[/tex]
[tex]S_8=\frac{3(\frac{255}{256})}{\frac{1}{2}}[/tex]
[tex]S_8=3(\frac{255}{256}\times\frac{2}{1})[/tex]
[tex]S_8=3(\frac{255}{128})[/tex]
[tex]S_8=\frac{765}{128}[/tex]
Therefore, the sum of our given series is [tex]\frac{765}{128}[/tex].