Answer:
[tex]\boxed {\boxed {\sf y= -7x -30}}[/tex]
Step-by-step explanation:
We are asked to find the equation of a line, given a point and a slope.
We can use the point-slope formula:
[tex]y-y_1= m(x-x_1)[/tex]
In this formula, (x₁, y₁) is the point and m is the slope. This line has a slope of -7 and passes through the point (-5,5). Therefore:
x₁ = -5 y₁= 5 m= -7Substitute the values into the formula.
[tex]y-5= -7 (x- -5)[/tex]
[tex]y-5= -7(x+5)[/tex]
We want to give the answer in slope-intercept form, or y=mx+b. We must isolate the variable y.
First, distribute the -7 on the right side of the equation. Multiply each term inside the parentheses by -7.
[tex]y-5= (-7*x) + (-7*5)\\y-5 = (-7x) + (-35) \\y-5= -7x -35[/tex]
5 is being subtracted from y. The inverse operation of subtraction is addition. Add 5 to both sides of the equation.
[tex]y-5+5 =-7x -35 +5 \\y= -7x -35 +5 \\y= -7x +30[/tex]
The equation of the line is y= -7x+30.
the total whole numbers less than 1539 divisible by 12
Answer:
the ancwer is 1536
Step-by-step explanation:
i used a coculater
The total cost for tuition plus room and board at State University is $2737. Tuition costs $787 more than room and board. What is the tuition fee?
What is the cost of tuition?
What is the slope of the line y = -4?
What is the principal amount if the interest rate is 3.5% a year and the amount of interest is 183.75 for 21 months?
The principal amount if the interest rate is 3.5% a year is equal to $3000.
Given the following data:
Interest rate = 3.5%Simple interest = $183.75Time = 21 monthsConversion:
12 months = 1 year
21 months = 1.75 year
To calculate the principal amount if the interest rate is 3.5% a year:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making P the subject of formula, we have:
[tex]P = \frac{100S.I}{RT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]P = \frac{100 \times 183.75}{3.5 \times 1.75}\\\\P = \frac{18375}{6.125}[/tex]
Principal amount, P = $3000
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Name x1, x2, y1, and y2. Then, find the distance between the points.
Answer:
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4 CHALLENGE 35 toes—how
many
feet?
Hint Draw a picture to help.
How many in all?
Kendrick had 2 / 3 of an ice cream cake left. Each piece on the ice cream cake is 1 / 12 of the entire cake. How many pieces are left?
Answer:
8 pieces
Step-by-step explanation:
2/3 = 1/12c
cross-multiply to get:
3c = 24
c = 8
Please take a look at the picture.
Answer:
I think it is total cost
Solve the equation 3/4-4x+7/2=-9x+5/6 show work
Answer: For this equation, the value of x is - 2/3.
Step-by-step explanation:
1. Resolving the equation 2/3-4x+7/2=-9x+5/6
-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)
5x = (5/6 - 4/6 -21/6)
5x = -20/6
x = - 20/6 /5 (Dividing by 5 at both sides)
x = -20/6 * 1/5
x = -4/6 = - 2/3 (Simplifying)
2. Proof of replacing x by -2/3
2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6
2/3 + 8/3 + 7/2 = 18/3 + 5/6
10/3 + 7/2 = 6 + 5/6
20 + 21 = 36 + 5 (Multiplying by 6 at both sides)
41 = 41
It means the value of -2/3 for x is correct
Answer:
[tex]x=-\frac{41}{60}[/tex]
Step-by-step explanation:
[tex]Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\[/tex]
[tex]-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}[/tex]
Don't forget the - in front of the answer
A car rental agency charges $150 per week plus $0.20 per mile to rent a car. How many miles can
you
travel in one week for $290?
A) 208
B) 1450 miles
C) 700 miles
D) 675 miles
The cost of producing higlighters with the company logo printed on them consists of a onetime setup fee of $160.00 plus $0.65 for each higlighter produced. This cost can be calculated using the formula C=160.00+0.65p, where p represents the number of higlighters produced and C is the cost. Use the formula to calculate the cost of producing 2400 higlighters. (Do not inlcude a comma in your answer)
Answer:
7839 ...........
Which number line and expression show how to find the distance from -4 to -1
Answer:
C
Step-by-step explanation:
because i said
what is 9x7write the answer down
Answer:
63
Step-by-step explanation:
which is the correct answer??
geometry
Answer:
SAS || Side - Angle - Side
Step-by-step explanation:
You have 2 sets of congruent sides, and one set of congruent angles between them. (SAS)
That angle is congruent because ∠QRP and ∠TRS are vertical angles, and vertical angles have the same measurement.
PLEASE HELP WITH THIS PROBLEM
Answer:
x=4
Step-by-step explanation:
pls helpppppp i begggg
Answer
x Is less than 4
Step-by-step explanation:
It will be an open circle and the arrow is going the left direction on the number 4
Complete the equation to show how many tenths are equivalent to 1/2
Answer:
5/10
Step-by-step explanation:
write the standard form of the equation of the circle with the given characteristics end point of diameter (-4,-1) , (4,1)
Answer:
x² + y² = 17
Step-by-step explanation:
The standard equation of a circle is :
(x -h)² + ( y -k) ²= r², where (h, k) are the a coordinate of the center of the circle and r is the radius of the circle
If the end point of diameter has the coordinates (-4,-1) and (4,1) then the center is at the origin so we have (h= 0, k= 0)
The radius is half of the diameter so is the distance form (0,0) to (4, 1).
We can use Pythagorean Theorem to find r²
r ² = 4²+1² = 17
(x -h)² + ( y -k) ²= r², substitute what we found out
(x -0)² + ( y -0) ²= 17
x² + y² = 17
This is the equation of the circle given characteristics end point of diameter (-4,-1) , (4,1)
Sophia uses 3 cups of peanut butter to make 51 peanut butter cookies. At this rate, how many cups of peanut butter does she need to make 153 peanut butter cookies?
Does anybody know the slope for these graphs?
-7(8) What is it please help me I need help help help help
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per hour. The eastbound train travels at 85 miles per hour. How long will it take for the two trains to be 468 miles apart?
Step-by-step explanation:
x = traveled hours
when multiplying miles/hour by hours, this gives
hours × miles / hours
so, the dimension hours is eliminated on top and bottom of that fraction (or ratio) leaving only miles.
therefore,
468 = 95x + 85x = 180x
x = 468/180 = 2.6 hours or 2 6/10 hours = 2 hours and 6×6 minutes = 2 hours and 36 minutes
remember,
1 hour = 60 minutes
1/10 hour = 60/10 = 6 minutes
Answer:
Step-by-step explanation:
2.6 h
Write the quadratic function in f(x)=a(x−h)2+k form whose graph is shown below.
The graph shows a downward facing parabola with vertex (negative 3, 4) and y-intercept (0, negative 5).
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex](\stackrel{h}{-3}~~,~~\stackrel{k}{4})\qquad \implies f(x) = a[x-(-3)]^2+4\implies f(x) = a(x+3)^2+4 \\\\\\ \textit{we know that} \begin{cases} x=0\\ f(x) = -5 \end{cases}\implies -5=a(0+3)^2+4\implies -5=9a+4 \\\\\\ -9=9a\implies \cfrac{-9}{9}=a\implies \boxed{-1=a}~\hfill \blacktriangleright f(x)=-(x+3)^2+4 \blacktriangleleft[/tex]
solve this equation:
1.25x+5.00 greater than or equal to 20.00
Original price of shorts $53.95 Discount 30% Tax 4.5?
Please help what’s the correct answer ???
Answer:
72.8325
Step-by-step explanation:
I think it is that
The weight of an adult standard poodle was found to follow a normal distribution with a mean of 50 pounds and a standard deviation of 15 pounds. If represents the mean weight of a random sample of 7 adult standard poodles, what is (round off to second decimal place)
Using the Central Limit Theorem, it is found that the distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, for the population, [tex]\mu = 50, \sigma = 15[/tex].
Sample of 7, hence [tex]n = 7, s = \frac{15}{\sqrt{7}} = 5.67[/tex]The distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.
A similar problem is given at https://brainly.com/question/25606713
A.CED.A Garnetta owned 2400 shares of Metropolitan Corporation at a price of $45.50. The stock split 4-for-3. How was Garnetta financially affected by the split
Garnetta will have 3,200 shares worth $ 34,125 each.
Given that Garnetta owned 2400 shares of Metropolitan Corporation at a price of $ 45.50, and the stock split 4-for-3, to determine how Garnetta was financially affected by the split the following calculation must be performed:
3 = 2400 4 = X 4 x 2400/3 = X 9600/3 = X 3200 = X (2400 x 45.50) / 3200 = X 109200/3200 = X 34.125 = X
Therefore, Garnetta will have 3,200 shares worth $ 34,125 each.
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2x+3-3=-6
solve right please
Finding the value of x,
→ 2x + 3 - 3 = - 6
→ x + (3 - 3) = - 6/2
→ [ x = -3 ]
Thus, the value of x is -3.
Alice uses a table to record the number of black cars, b, that passed by her house in h hours.
b is directly proportional to h.
Answer:
1/2
Step-by-step explanation:
b is directly proportional to h.
b = kh
take any (h, b) point
using (28, 14)
14 = k(28)
Divide both sides by 28
1/2 = k
1/2
Use a table to find the solution to the situation.
Larry's small business has $30,000 in its bank account and makes automatic monthly payments that total
$10,000. If he stops making deposits to that account, when would the automatic payments make the
value of the account zero?
The value of the account would be zero in months.
Answer:
Step-by-step explanation:
30,000 /10,000= 3 months