[tex]\tt5( x - 3 ) = 5x - 15 \\ \tt5x - 15 = 5x - 15 \\ \tt5x - 5x = - 15 + 15 \\ \tt\bcancel{5x} - \bcancel{5x} = \bcancel{- 15} + \bcancel{15} \\ \boxed{\tt0 = 0}[/tex]
The answer is 0.LHS = RHS, hence verified.Value of x (substitute 0 in the place of x).
[tex]\tt5( (0) - 3 ) = 5(0) - 15 \\ \tt0 - 15 = 0 - 15 \\ \tt \boxed{\tt -15 = -15}[/tex]
So, value of x is 0.2. A line passes through the points (4,7) and
(8, 6). The line also passes through the point
(a, 3.5) for what value of a?
Answer:
a = 18
Step-by-step explanation:
Slope = (7-6)/(4-8) = -1/4
y-intercept = 7 - (-1/4)(4) = 8
Equation of the line: y = - 1/4x + 8
(Substitute y for 3.5. When y is 3.5, what is x)
3.5 = - 1/4x + 8
3.5 - 8 = - 1/4x
(-4.5) / (- 1/4) = x
x = 18
Find the GCF for the pair of numbers. 9,4
The GCF of numbers is the greatest common factor of the numbers.
The numbers are given as: 4 and 9.
Factorize both:
[tex]\mathbf{4 = 1 \times 2 \times 2}[/tex]
[tex]\mathbf{9 = 1 \times 3 \times 3}[/tex]
The common factor between both is 1.
So, we have:
[tex]\mathbf{GCF = 1 }[/tex]
Hence, the GCF of 4 and 9 is 1
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Buffalo Bart’s Endless Wings charges $5.60 for sides and a drink, and then $0.40 per chicken wing. The Spicy Chicken charges $10 for sides and a drink, and then $0.20 per chicken wing. About how many chicken wings must be purchased so that the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken is the same?
Answer:
22.
Step-by-step explanation:
About 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.
Let's represent the number of chicken wings as "x".
The total cost at Buffalo Bart’s Endless Wings would be the sum of the initial cost for sides and a drink ($5.60) and the cost per chicken wing ($0.40 per wing times x):
Total cost at Buffalo Bart’s Endless Wings = $5.60 + $0.40x
The total cost at The Spicy Chicken would be the sum of the initial cost for sides and a drink ($10) and the cost per chicken wing ($0.20 per wing times x):
Total cost at The Spicy Chicken = $10 + $0.20x
To find the number of chicken wings where the total costs are the same, we'll set up an equation:
$5.60 + $0.40x = $10 + $0.20x
Now, solve for "x":
$0.40x - $0.20x = $10 - $5.60
$0.20x = $4.40
Divide both sides by $0.20:
x = $4.40 / $0.20
x = 22
So, about 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.
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#SPJ3
I was not taught this lesson in class today.
Answer:
C
Step-by-step explanation:
No slope is given so your slope is 0. Since both have no slope, they are both flat and therefore parallel
A 56-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Answer:
14-inch
Step-by-step explanation:
let the length of shorter piece be x
x+3x=56
4x=56
x=56/4
x=14
PLEASE HELP
A. identify the vertex
B. Identify the intercept
C. Write the equation of the graph above
D. Fill in the end behavior:
As x , y ____
As x 3, y ____
E. Identify the domain and range:
We want to identify different things on the given graph.
The solutions are:
A) (3, -1)
B) x = 4
C) x = y^2 + 2y + 4
D) x ⇒ ∞, y ⇒ ∞
x⇒3, y⇒ -1
A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)
B) This is the point where the graph intercepts the x-axis, x = 4.
C) we want to write the equation, we start with the general parabola, this time as a function of y:
x = a*y^2 + b*y + c
Remember that the x-itercept is at x = 4. then c = 4.
x = a*y^2 + b*y + 4
The y-value of the vertex is -1, while the general y-value of the vertex is:
y = -b/2a = -1
And evaluating the equation in this value, gives us:
x = a*(-1)^2 + b*-1 + 4 = 3
Then we have two equations:
-b/2a = -1
a + -b + 4 = 3
We can rewrite the first one as:
-b = -2a
b = 2a
Now we can replace this on the other equation:
a - 2a + 4 =3
-a + 4 = 3
-a = 3 - 4 = -1
a = 1
And b = 2a = 2*1 = 2
Then the equation of the parabola is:
x = y^2 + 2y + 4
D) We can see that as x grows, y increases, so we can say that:
x ⇒ ∞, y ⇒ ∞
And for the other limit we can see that as x tends to 3, y tends to -1, then:
x⇒3, y⇒ -1
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the cost is 15,000.00 and a markup of 90%
help plez :)
Helpppppppppppppppppppppppppppppppppppp
Answer:
m = - 1
Step-by-step explanation:
9m + 13 = 4
subtract 13 from both sides
9m = 4 - 13
9m = - 9
divide both sides by 9
m = - 1 (negative 1)
A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
A. The percent decrease was approximately 25%.
B. The percent decrease was approximately 33%.
C. The percent decrease was approximately 50%.
D. The percent decrease was approximately 66%.
IT'S D
HOPE THIS HELP MARK ME BRAINLIST
From the graph, write the linear equation in slope-intercept form
Answer:
1.y=1/2+2
2.y=-2+1
3.y=3/2+3
4.y=-2/3-2
Step-by-step explanation:
Simplify the numerical expression:
(0.05)(-0.25)
A) -0.0125
B) 0.0125
C) -1.25
D) 1.25
Answer:
A) -0.0125
Step-by-step explanation:
-1/80 (fractional form)
Which number is different from the others? 100, 300, 400, 900, 81, 25, 3600
15 POINTSSSSSS
Answer:
81 is the answer
Step-by-step explanation:
:>>>>>>>>
7,218 round off thousand
The quantities x and y are proportional. Find the constant of proportionality (r) in the equation y=rx
Answer:
y=rx 1/4/5/5/5
Step-by-step explanation:
Answer:
r = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The proportional equation is
y = rx ( divide both sides by x )
[tex]\frac{y}{x}[/tex] = r
Substitute any ordered pair from the table
Using (14, 7 ) , then
r = [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex]
Johan and Rahul shared a chocolate bar. Johan took 3\7
and Rahul took 4\9
of
the chocolate bar. Who took the biggest part of the chocolate bar? And by
how much?
Answer:
Rahul by 1
Step-by-step explanation:
Johan - 3/7
Rahul - 4/9
1. Convert fractions
3/7 -> 27/63
4/9 -> 28/63
28/63 > 27/63
Rahul took more by 1/63
Please put into slope intercept form and please SHOW THE WORK
4-2y=-2x
-y+6=x
6x-y-3=0
3y+15x=-15
Answer:
[tex]4 - 2y = -2x [/tex]
subtract the 4 from one side
[tex] - 2y = - 2x - 4[/tex]
divide the -2 from the y and the-2x and 4
[tex]y = - x + 2[/tex]
-y + 6 = x
subtract the 6 and add -6 after the x
[tex] - y = x - 6[/tex]
6x - y - 3 = 0
add the y so it cancels out
y = 6x - 3
3y + 15x = -15
subtract the 15x
3y = -15x - 15
divide the 3
y = -5x -5
U= 1 A solution to the inequality below??
10>u
Answer:
Yes
Step-by-step explanation:
10>1
please help! & please explain your answer!!
Answer:
9Step-by-step explanation:
Plan A remains with $450 stable charge and Plan B is:
200 + 30x, with x being the number of physical training sessionsIn order Plan B to be cheaper we set an inequality:
200 + 30x < 45030x < 250x < 250/30x = 8.33 < 9M is the midpoint of segment AB.
AM=13x
BM=8x+10
AB=
In comparing two distributions, which attribute would you not compare?
A. Joint frequency
B. Shape
C. Spread
D. Center
Answer:
If joint frequency isn't an option it is Marginal frequency
Consider the function F(x)=5x-1. Find the value of x for which the value of the function is equal to 89
Answer:
Sorry if im late
Step-by-step explanation:
The correct statements are:
The value of f(-10) = 82
The graph of the function is a parabola
The graph contains the point (20,-8)
Answer:
x=18
Step-by-step explanation:
89=5x-1
89+1=5x
90=5x
18=x
Write -7 / 9 as a rational number 3 different ways.
Please help me solve this
Find the value of GM If DM = 35
Joie buys lunch at a local café for $8.60. If she leaves a 15% tip, how much does she spend at the café?
Answer:
$9.89
Step-by-step explanation:
1. Divide 15 from 100, which leaves you with 0.15%.
2. Multiply 8.60 and .15; that will get you 1.29.
3. Finally, add 1.29 to 8.60 to get your answer!
Given the function f(x)= e^3x, write an expression that represents the derivative of f using the limit shown below.
Answer:
f'(x)=6x+8
Step-by-step explanation:
a researcher studied 30 people ages twenty to forty, 30 people ages forty-one to sixty, and 30 people ages sixty-one to eighty. the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. what research method did the researcher use, and what outcome would be found?
If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.
A cross-sectional is a research that is carried out by collecting data from different group of population or by drawing a random sample from a group of population in which the researcher will then study or observe the data collected at a particular period of time.
Based on the given information the researcher is making use of Cross-sectional research method as the researcher what to know how people perceive smell based on their age or how age determine people sense of smell.
The outcome that could be found based on the research is that as people age or grow older their sense of smell decrease or begins to decrease, which simply means that younger people have strongest sense of smell than older people.
Inconclusion If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.
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15 examples of real life situations where we apply approximation
Answer:
Have a splendiferous day!
Hope this helps!
Step-by-step explanation:
Shopping at the grocery store
Rough calculations of math
Figuring out time it would take to reach a location
Making nearly accurate measurements
Trying to stay within a budget
Solving extremely complicated numbers
Dealing with decimals
For quick calculations in a business
To prepare ahead, e.g an overestimate
and so on.
Please help me in this!
Answer:
5000
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1. Allison is a recent college graduate. She got a job as a marketing executive making $82,000 a year, and she will have to move across the country for the new job. Her moving expenses are $7500. She has also started paying back her student loans, and this year will pay back $1386 in student loan interest. What is Allison's adjusted gross income (AGI)?
Answer:
82,000+7500+1,386=168,136
Step-by-step explanation:
You have to do Addition