[tex]y = mx + b[/tex]
where m = slope and b = y-intercept.
We have both given slope and y-intercept. We can simply substitute the given slope and y-intercept in slope-intercept form.
SubstitutionSubstitute m = -1 and b = - 5 in the equation.
[tex]y = - 1x - 5 \\ y = - x - 5[/tex]
We don't usually write 1x or -1x instead we write -x or x.
Answer[tex]y = - x - 5[/tex]
Solve the equation-7(x-2)= -84
Answer:
x = 14
Step-by-step explanation:
First, use the distributive property:
-7x + 14 = -84
-7x = -98
x = 14
Answer:
my answer got deleted for no reason so ill add it again with my way of solving it with steps this time.
x=14
Step-by-step explanation:
divide both sides by -7
[tex]\frac{-7(x-2)}{-7} =\frac{-84}{-7}[/tex]
simplify
[tex]x-2=12[/tex]
add two to both sides
[tex]x-2=12[/tex]
[tex]+2[/tex] [tex]+2[/tex]
simplify
[tex]x=14[/tex]
hope having another method helps :)
HELP ME PLZZZ This is the only table I don't know,
Answer:
apples: 6/8 = $0.75 per apple
pears: 1.25/1 = $1.25 per pear
peaches: 1.50/1 = $1.50 per peach
bananas: 4/6 = $0.67 per banana
"price per unit" means that you want to find out how much a single one of the product costs. you figure it out by dividing the price by how many there are.
Step-by-step explanation:
I hope this helps :)
Find the length of side A
Answer:
D) 4
Step-by-step explanation:
Marcie likes to collect stickers, but she also likes to give them away. Currently, Marcie has 87 stickers in her collection. If Marcie collects 5 new stickers each week and gives away 3 stickers each week, how many stickers will Marcie have in her collection after 5 weeks?
Answer: 97 stickers
Step-by-step explanation:
Marie has 87 stickers in her collection.
Each week she collects 5 and gives away 3.
The total number of stickers she gains per week is therefore:
= 5 - 3
= 2 stickers per week
In 5 weeks therefore, she would have collected:
= 2 * 5
= 10 stickers
Add that to the original number:
= 87 + 10
= 97 stickers
Write an equation to find the value of x so that each pair of polygons has the same perimeter. Then solve
The Pythagoras Theorem:
the base squared and height squared added is equal to the hypotenuse squared.
so
(x+6)² + (x+3)²= (x+9)²
x²+36+12x+x²+9+6x = (x+9)²
2x²+45+18x=x²+81+18x
x²=36
x=√36
X= 6
now
(x+6)= 12
(x+3)=9
(x+9)=15
haha sorry correct it pls
Here are the marks of a student in four exams. 65 80 76 69 The student takes a fifth exam. His mean mark for the five exams is 70 Work out his mark in the fifth exam
Answer:
mark of the fifth exam = 60
Step-by-step explanation:
Mean = sum of all marks / number of exam
Mean = 70
Number of exam = 5
Let x =
Mean = sum of all marks / number of exam
70 = (65 + 80 + 76 + 69 + x) / 5
Cross product
70 × 5 = (290 + x)
350 = 290 + x
350 - 290 = x
x = 60
mark of the fifth exam = 60
NEED HELP!!! Answer all of the questions below you will see a link, I would give thanks to anyone that can do this:) If anybody needs any information on how to pull it up, there should be a link that says download Docx if that helps.
9514 1404 393
Explanation:
1. You are given the statement "A is B". In "if-then" form, it can be written, "if it is A, then it is B."
If it is broccoli, then it is a vegetable.
__
2. The hypothesis is the "if-" part:
(If) it is broccoli
__
3. The conclusion is the "then-" part:
(then) it is a vegetable
__
4. The converse interchanges the hypothesis and conclusion:
If it is a vegetable, then it is broccoli.
__
5. The converse is false. A potato is a vegetable, but is not broccoli.
__
6. The inverse negates the hypothesis and conclusion:
If it is not broccoli, it is not a vegetable.
__
7. The inverse is false. A potato is not broccoli, but is a vegetable.
__
8. The contrapositive is the inverse of the converse:
If it is not a vegetable, it is not broccoli.
__
9. The contrapositive has the same truth value as the original statement. Here, it the contrapositive is true.
and fast plzz
will .ark the brainliest
Answer:
[tex]\sqrt[6]{2}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{\sqrt[3]{2^2}} =((2^2)^\frac{1}{3})^\frac{1}{4}\\\\=(2^2)^\frac{1}{12}\\\\=2^\frac{2}{12}\\\\=2^\frac{1}{6}\\\\=\sqrt[6]{2}[/tex]
Find the exact length of the third side.
7.
3
Answer:
10
Step-by-step explanation:
Answer: it’s 2
Step-by-step explanation: so u subtract
what is -2k + (-4k) + 5
Which statements verify that the solution set to |x + 3| < 5 is –8 < x < 2? Check all that apply.
1. Substituting a value into the inequality from the solution set, such as –2, will create a true statement.
2. Substituting a value into the inequality from the solution set, such as 1, will create a false statement.
3. Substituting a value into the inequality not from the solution set, such as 4, will create a true statement.
4. Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.
5. Substituting any value into the inequality will create a true statement.
Answer:
1 and 4
Step-by-step explanation:
Answer:
1 and 4
Step-by-step explanation:
Only true statements out of the option
403, 395,387,...
Find the 36th term.
Answer:
n=36
a=403
d=395-403=8
an=a+(n-1)d
a36=403+(36-1)395
=14228
Answer:
the answer is actually 123
Step-by-step explanation:
5. The sides of a triangle are in the ratio 4:5:6. What is the length of each side if the
perimeter is 45 cm?
Answer:
12, 15, 18
Step-by-step explanation:
4+5+6 = 15
45/15 = 3
multiply 4 x 3 = 12
multiply 5x 3 = 15
multiply 6 x 3 = 18
Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transformations? Triangle A B C is reflected across line m and then is dilated to form smaller triangle A double-prime B double-prime C double-prime Triangle A B C is rotated about line m and then dilated to form smaller triangle A double-prime B double-prime C double-prime Triangle A B C is reflected across line m and then is dilated to form larger triangle A double-prime B double-prime C double-prime Triangle A B C is rotated about line m and then dilated to form larger triangle A double-prime B double-prime C double-prime
The transformation is better described by: Triangle A B C is reflected across line m and then is dilated to form smaller triangle A double-prime B double-prime C double-prime
What is transformation?In mathematics, transformation is manipulating a figure on a plane or coordinate system.
In this case the manipulation involves reflection and scaling to a factor between 0 and 1
scaling to factor 0 means the triangle disappeared
scaling to factor 1 means the triangle remained same size
factors between 0 and 1 means reduction of size.
since the transformation did not rotate the triangle it makes the first option the correct answer
Read more on Transformation here:
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Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.
Answer:
when y=65, x=20
Step-by-step explanation:
We are given:
y varies directly as x
and y=26, when x=8
We need to find x, when y = 65
y varies directly as x can be written as:
[tex]y\:\alpha \:x\\y=kx[/tex]
Where k is constant of proportionality.
Finding k, when y=26 and x=8
[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]
We get the value of k = 3.25
Now, we need to find value of x, when y=65 and k=3.25
[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]
So, when y=65, x=20
The local car dealership will approve the purchase of a $32,795
car with a 72 month loan. Enter the length of the car loan in years.
Answer:
?
Step-by-step
Can you be more specific?
Two groups were asked about the number of times
per week they exercise. Compare the groups
using the median and range...
Group 1: 6, 0, 3, 3, 1, 0, 1, 7
Group 2: 4, 5, 3, 2, 2, 6, 3, 3
phs
3
ables
Answer:
down below:)
Step-by-step explanation:
group 1 group 2
median: 1 median: 3
range: 6 range:4
round to the nearest tenth
9514 1404 393
Answer:
21.4
Step-by-step explanation:
For this problem, you only need to know that the hypotenuse (x) is the longest side of the triangle. The only answer choice longer than 20 is ...
x = 21.4
__
If you want to actually go through the numbers, you know that ...
Cos = Adjacent/Hypotenuse
cos(21°) = 20/x
x = 20/cos(21°)
x ≈ 21.4
What’s the answer to this question ? 4.4y - 5x = -8
what do you want us to solve for? Step-by-step explanation:
Please help asap Easy algebra !!
Answer:
many solutions
Step-by-step explanation:
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.
Answer:
The price to make maximum revenue is 1 and the maximum revenue is 2000.
Step-by-step explanation:
Consider the provided information.
Revenue is the product of the number of sales and the sales price.
Here, [tex]p[/tex] is the price of a cookie and the number of cookies sold is [tex]x =- 2000 p + 4000[/tex].
[tex]\text{Revenue}=p(-2000 p + 4000)[/tex]
[tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
The above equation is a quadratic equation and the graph of the above equation will be a downward parabola because the coefficient of [tex]p[/tex] is negative.
The vertex(axis of symmetry) of a downward parabola has the maximum point.
The axis of symmetry is [tex]x=\frac{-b}{2a}[/tex] for the quadratic equation [tex]ax^2+bx+c=0[/tex].
By compare Revenue equation with [tex]ax^2+bx+c=0[/tex], we get:
[tex]x=p, a=-2000, b=4000 \text{ and } c=0[/tex]
Now put the respective values in the formula [tex]x=\frac{-b}{2a}[/tex] .
[tex]p=\frac{-4000}{2(-2000)}[/tex]
[tex]p=1[/tex]
So revenue will be maximum for [tex]p=1[/tex].
Now put [tex]p=1[/tex] in [tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
[tex]\text{Revenue}=-2000 (1)^2 + 4000(1)[/tex]
[tex]\text{Revenue}=-2000 + 4000[/tex]
[tex]\text{Revenue}=2000[/tex]
Hence, the price to make maximum revenue is 1 and the maximum revenue is 2000.
Maximum revenue generated = $2000
Price at which the maximum revenue is generated = $1
Maximization of the revenue:
Steps to find the maximum revenue,
Find the equation for the revenue generated.Find the derivative of the expression for revenue and equate it to zero.Find the value of the variable and substitute it in the expression for the revenue generated.Given in the question,
Price of one cookie = p Linear relationship between the number of cookies sold 'x' and price of a cookie 'p',x = -2000p + 4000
Expression for the revenue generated = Price of one cookie × Number of cookies sold
R = p(-2000p + 4000)
R = -2000p² + 4000p
For the maximum revenue,
"Find the derivative of the expression for revenue and equate it to zero"
R' = -4000p + 4000 = 0
4000p = 4000
p = $1
For p = 1,
R = -2000(1) + 4000
R = $2000
Therefore, for the price of one cookie as $1, maximum revenue generated will be $2000.
Learn more about the maximization here,
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A public rectangular-shaped pool is 15 m by 30 m. Public pools must be surrounded by a cement
walkway of uniform width whose area is at least as large as the area of the pool. What is the
minimum width of the walkway? Show the steps of your solution.
Answer:
15m I think
Step-by-step explanation:
Sorry if im wrong
The area of a rectangle can be found by taking the product of length and breadth. The minimum width of the walkway is 15 m.
What is a Rectangle?A quadrilateral that has its opposite sides as equal and all the angles are right angle is called a Rectangle. The diagonal of a rectangle is greater than its length and breadth.
The given rectangle has dimension of 15 × 30.
Suppose the uniform width of walkway be d.
Then, the area of walkaway can be written as
Area = (15+d)×(30+d) - 15×30
As per the question,
15×30 = (15+d)×(30+d) - 15×30
(15+d)×(30+d) = 2×15×30
d^2 + 45d - 900 = 0
d = -60,15
As, length cannot be negative. Thus, d = 15m.
Hence, the minimum width of walkway is 15m.
To know more about rectangle click on the following link,
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Which of the following represents the factorization of the binomial below?
x² - 121
O A. (x-11)(x-11)
B. (x +11)(x+11)
C. (x +11)(x-11)
D. (X)(x-121)
Answer:
C. (x + 11) (x - 11)
Step-by-step explanation:
x² - 121
= x² - 11²
= (x + 11) (x - 11) (Difference of two squares)
MATHH WHIZZES PLZZZ HELPPPPP!!!!!
Answer:
$7.40
Step-by-step explanation:
785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40
Answer:
$7.40
Step-by-step explanation:
HELPPppPpPPpppppppp BRAINLIESTTTT
Choose the inequality symbol (>,
<
=
Can someone help me plzzz!!
Answer:
Multiply dno. plus nume. by 2
Step-by-step explanation:
get a base of 100
Hey guys ( or gals ) I have no idea what to do please help me.
Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation:
I NEED HELP ON SIMPLIFYING THIS SOMEONE HELP
Answer:
I think it is 3^8
Step-by-step explanation:
(3^5)^2
÷
3^-2
3^10
÷
3^-2
=3^8
Jordan's pet grooming business has a monthly cost function of C = $12p + $2100. His Revenue is given by the function R = $62p, where C is the total cost per month, R is the total revenue he receives each month and x is the number of pets he grooms in a month. How many pets must he groom each month to break even?
Answer:
Step-by-step explanation:
.
In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)
Answer:
D) (0,1) (2,3) (4,5)
Step-by-step explanation:
Explanation
Given Points are A(0,1) , B(2,3) , C(4,5)
slope of the AB
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]
Slope of BC
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]
Therefore slope of AB and BC are equal
The three points lie on same straight line
The three points are collinear points
