Answer:
y + 1 = -5(x - 4)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Point (4, -1) → x₁ = 4, y₁ = -1
Slope m = -5
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: y - -1 = -5(x - 4)Simplify: y + 1 = -5(x - 4)Fill in the blanks so the equation has NO SOLUTION.
4(x -3) + 7 = _____x + _____
Answer:
4x + 1
Step-by-step explanation:
evaluating the expression on the left
4(x -3) + 7
Distribute
4x - 12 + 7
4x - 5
Therefor if the constant is any number other than -5
there will be NO SOLUTION
Examples of equations with no solution
4(x -3) + 7 = 4x + 1
4(x -3) + 7 = 4x - 3
4(x -3) + 7 = 4x + 4
The angle measure of a triangle is shown in the diagram.
what is the value of x?
A. 13
B. 20
C. 5
D. 12
Answer:C.5
Step-by-step explanation:
A store sells previously viewed movies. The table shows the cost of buying 1, 2, 3, or 4 movies.
a. Which mapping diagram represents the data in the table
Question 2
b. Is the relation a function? Explain.
Each input has exactly one output. Therefore, the relation is a function.
Question 3
c. Describe the pattern. How does the cost per movie change as you buy more movies?
The pattern is that for each input
increase
of
1
, the output
increases
by $1,2,3,4,6,12
less than the previous increase. For each additional movie you buy, your cost per movie
decreases
by $1,2,3,4,6,12
how much did the output increase in dollars and how much did the movie decrease
A relation may or may not represent a function.
The relation of the movie and its costs is a function.The pattern is that, as unit cost of each movie decreases as the number of movies increases.The costs are given as:
1 movie costs $102 movies cost $183 movies cost $244 movies cost $28(a) The mapping diagram
To do this, we simply point the number of movies, to the corresponding costs, using arrows
See attachment for the mapping diagram.
(b) Is the relation a function
From the attached mapping, we can see that:
The costs of each movie are different.
This means that: the relation is a function.
(c) Describe the pattern
Notice that as the number of movies increases, the cost also increases;
However, the unit cost decreases.
Hence, the unit cost of each movie decreases as the number of movies increases.
Read more about mappings, functions and relations at:
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The base of a triangle is 7 inches more than its height. If the area of the triangle is 39 square inches, find the base and height of the triangle
The height of the triangle is
Answer:
the height of the triangle is 6 inches and the base is 7 inches greater, or the base is 13 in
Step-by-step explanation:
The general area-of-a-triangle formula is A = (1/2)(base)(height), or = (1/2)bh.
Here b = h + 7.
Applying the area formula given above: A = 39 in^2 = (1/2)(h + 7)(h), or
78 in^2 = h^2 + 7h,
Rewriting this, in standard quadratic form, we get h^2 + 7h - 78 = 0
-7 ± (49 - 4[1][-78])
Applying the quadratic formula to find h: h = ----------------------------
2
-7 ± (49 + 312) -7 ± 19
or h = ----------------------- = ------------- = {-13, 6}
2 2
Discard the negative 13 root; the height must be a positive quantity.
Thus, the height of the triangle is 6 inches and the base is 7 inches greater, or the base is 13 in
Arranging the real number in ascending order -8,2,0,9,-10
Hello,
- 10, - 8, 0, 2, 9
The ascending order is always : negative numbers, zero, positive numbers
Answer:
-10, -8, 0, 2, 9
Let f(y) = y^4 - 3y^3 + y - 3 and g(y) = y^3 + 7y^2 - 2. Find f(y) + g(y). Write your answer as a polynomial with terms of decreasing degree.
Work Shown:
h(y) = f(y) + g(y)
h(y) = (y^4 - 3y^3 + y - 3) + (y^3 + 7y^2 - 2)
h(y) = y^4 - 3y^3 + y - 3 + y^3 + 7y^2 - 2
h(y) = y^4 + (-3y^3+y^3) + 7y^2 + y + (-3 - 2)
h(y) = y^4 - 2y^3 + 7y^2 + y - 5
This is a fourth degree polynomial (aka quartic).
If x^2 - (3x-a) (bx-1) = c, where a, b, and c are constants, what id the value of c?
A. 9
B. 7
C. 13
D. 2
Where is the point (0, -2) located on the coordinate plane?
A. On the y-axis
B. On the x-axis
O C. In quadrant III
D. In quadrant IV
Answer:
A
Step-by-step explanation:
The x- coordinate of any point on the y- axis is zero, that is (0, c ) , then
(0, - 2 ) is located on the y- axis
A random number generator picks a number from 6 to 66 in a uniform manner. Round answers to 4 decimal places when possible.
The mean of this distribution is =
The standard deviation is =
The probability that the number will be exactly 19 is P(x = 19) =
The probability that the number will be between 28 and 46 is P(28 < x < 46) =
The probability that the number will be larger than 48 is P(x > 48) =
P(x > 17 | x < 62) =
Find the 49th percentile =
Find the maximum for the lower quartile =
Answer:last one
Step-by-step explanation:
A random number generator picks a number from 6 to 66 in a uniform manner, its resultants are mathematically given as
X=36[tex]\sigma=5[/tex]p(x=19)=0.2167P(28 < x < 46) =0.3 P(x > 48)=0.3P(x > 17 | x < 62) =0.75k=29.4h=15What is the mean of this distribution?Generally, the equation for Mean is mathematically given as
[tex]X=\frac{a+b}{2}\\\\Therefore\\\\X=\frac{6+66}{2}[/tex]
X=36
b)
Generally, the equation for standard deviation is mathematically given as
[tex]\sigma=\sqrt{\frac{b-a}{12}^2}\\\\Therefore\\\\\sigma=\sqrt{(\frac{66-6}{12})^2}\\\\\sigma=\sqrt{25}\\\\[/tex]
[tex]\sigma=5[/tex]
c)
The probability that the number will be exactly 19
[tex]p(x=19)=\frac{19-6}{66-6}[/tex]
p(x=19)=0.2167
d)
The probability that the number will be between 28 and 46 is P(28 < x < 46)
[tex]P(28 < x < 46) =\frac{46-6}{66-6} -(\frac{28-6}{66-6})[/tex]
P(28 < x < 46) =0.3
e)
The probability that the number will be larger than 48 is P(x > 48)
[tex]P(x > 48)=1-P(x\leq 48)[/tex]
Therefore
[tex]P(x > 48)=1-(\frac{48-6}{66-6})[/tex]
P(x > 48)=0.3
f)
[tex]P(x > 17 | x < 62) = P(x\leq 62-P(x leq 17))[/tex]
Therefore
[tex]P(x > 17 | x < 62) =\frac{62-6}{66-6}-(\frac{17-6}{66-6})[/tex]
P(x > 17 | x < 62) =0.75
g)
The 49th percentile
[tex]p(x\leqk=k.(1/66-6))[/tex]
Therefore
[tex]0.49=k*(1/(66-6))[/tex]
k=29.4
h)
The maximum for the lower quartile
P(xl)=h*1/60
0.25=h*1/60
h=15
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Solve for x and y. (Geometry)
Step-by-step explanation:
All angles of the ∆ are same. So it's a equilateral ∆ . So all sides will also be equal .
16 + y = 46
y = 46 -16 = 30
And ,
60 + x + (180-80) = 180
-20 +x = 0
x = 0 +20
x = 20°
-
4. 3x² - 2x - 1 = 0
someone please answer this I'll mark u as the brainest please anyone it's hard for me.
Answer: D
Step-by-step explanation:
Since it is subtracting x from 20. D tells the change from 20 dollars after buying the notebook or x.
A is 20 + x
B is 20/x
C is 20x or 20 * x
D is 20 - x
Answer:
B
Step-by-step explanation:
you can see the words cut and smaller so that indicates subtraction
Help me answer 1b, thank you!
Answer:
Step-by-step explanation:
Domain: the values that the x cannot be (in this case, the values that make the denominator equal to 0)
x²-5x+6=0
(x-2)(x-3)=0
x≠ 2, 3
in interval notation: (-∞,2)∪(2,3)∪(3,∞)
We just determined that x≠2 or 3 which means that the vertical aysmptotes are
x= 2,3
To find the holes graph both the numerator and denominator then see if anything cancels
2x²+x= x(2x+1)
x²-5x+6= (x-2)(x-3)
because nothing more to do here there are no holes
From his eye, which stands 1.62 meters above the ground, Amadou measures the
angle of elevation to the top of a prominent skyscraper to be 44°. If he is standing at a
horizontal distance of 164 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
The height of the skyscraper rounded to the nearest tenth of a meter is
160.0 meters.
The situation will form a right angle triangle.
The angle of elevation is 44 degrees. The horizontal distance of 164
meters from the base of the skyscraper is the adjacent side of the triangle.
Part of the height of the skyscraper is the opposite side of the triangle formed .
Using trigonometric ratio,
tan 44° = opposite / adjacent
tan 44° = h / 164
cross multiply
h = 164 × tan 44°
h = 158.372959068
Recall the angle of elevation was form from his eyes above the ground of
1.62 meters.
Therefore, the height of the skyscraper can be calculated below:
height of the skyscraper = 158.372959068 + 1.62 = 159.992959068
height of the skyscraper ≈ 160.0 meters
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Answers:
A.113 cm^3
B.141 cm^3
C.565 cm^3
D.126 cm^3
Answer:
D. 126 cm³
Step-by-step explanation:
The formula for the volume of a cylinder in terms of its diameter can be written as ...
V = (π/4)d²h
The difference between the volume of the overall cylinder and the volume of the hole is ...
V = V2 -V1 = (π/4)(d2²)h -(π/4)d1²)h = (π/4)(d2² -d1²)h
V = (π/4)((6 cm)² -(2 cm)²)(5 cm) = (π/4)(36 -4)(5) cm³ = 40π cm³ ≈ 126 cm³
The volume of the solid cylinder with a hole in it is about 126 cm³.
Aliyah went to the sandwich shop for lunch. She had a sandwich and a salad. Her total bill for lunch was $9.82. The salad she ordered cost $2.56. Which correctly shows how she determined the cost of her sandwich?
Answer:
9.82 - 2.56 = 7.26 is the equation
Help needed with this asap
Answer:
x = 10
Step-by-step explanation:
RO and OQ are congruent
Since RO = 50, and RQ = 12x - 20,
OQ = 12x - 20 - 50 = RO
50 = 12x - 70
120 = 12x
x = 10
-Chetan K
Please take a look at the picture.
Answer:
Should be b-1
Step-by-step explanation:
because b is at a positive point and it should become a negative
an alloy is 70% iron. How much of this alloy do you need if you want to obtain 50.35 lb of iron?
Answer:
1007/20
Step-by-step explanation:
You helped me so i help you. Here you go my friends sorry i dont have an explanation. Good luck !
Use proportions. X is what you want.
70 50.35lb
__ = _____
100 x
Cross multiply to get 70x = 5035
Solve to get about 71.93 lbs of the alloy.
Can someone check my work?
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today!
We can check your answer in 1 step.
We need to find how much they earn if they worked 37 hours at a rate of 26 dollars per hour.
We can mutliply to figure this out:
[tex]37*26=962[/tex]
Therefore, yes, your answer is correct!
Cheers!
Answer:
$26=1hr
x =37hr
$26 x 37=$ 962
Step-by-step explanation:
Use the function g(x)=11 to find the following values
g(-3)
Answer: https://www.bing.com/search?q=https%3A%2F%2Fwww.chegg.com%2Fhomework-help%2Fquestions-and...%0A&form=IPRV10
Step-by-step explanation: There you will find your answer
The value of g(-3) comes to be 11 because g(x) is a constant function.
Given function is:
g(x) =11
Function g(x) is a constant function because g(x) is independent of x.
How graph of a constant function look like?The graph of a constant function is parallel to the y-axis and gives the same output for any input given to the function.
So, The value of g(-3) will be the same as the value of g(x) i.e. 11
So, value of g(-3) = 11
Therefore, The value of g(-3) comes to be 11 because g(x) is a constant function.
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Which of the following expenses would be considered a “need” instead of a “want”?
Answer:
There are no options but what they are trying to say is which is more a need then a want. so a need is something like i broke my foot i "NEED" a docter fast. Want is like I just ate dinner and I "WANT" dessert. You can survive without that dessert.
Step-by-step explanation:
The manager of a children's puppet theatre has determined that the number of adult
tickets he sells for a Saturday afternoon show is a random variable with a mean of 28.3
tickets and a standard deviation of 5.3 tickets. The mean number of children's tickets he
sells is 42.5, with a standard deviation of 8.1.
(a) The adult tickets sell for $10. Let A = the money he collects from adult tickets on a
random Saturday. What are the mean and standard deviation of A?
Applying statistical concepts of multiplication of a variable by a constant, it is found that the mean of A is of $283, while the standard deviation is of $53.
When a constant is multiplied to each data in a variable:
The mean is multiplied by this constant. The standard deviation is multiplied by this constant.In this question, the variable has mean 28.3 and standard deviation of 5.3, and is multiplied by 10, hence:
[tex]28.3(10) = 283[/tex]
[tex]5.3(10) = 53[/tex]
The mean of A is of $283, while the standard deviation is of $53.
A similar problem is given at https://brainly.com/question/25639778
Solve for q.
7q+17q–14q–8q=14
q=
[tex](7 + 17 - 14 - 8)q = 14[/tex]
[tex](24 - 22)q = 14[/tex]
[tex]2q = 14[/tex]
Divide both sides by 2
[tex] \frac{2q}{2} = \frac{14}{2} \\ [/tex]
[tex]q = 7[/tex]
There u go...
Have a great day ❤
Original price of shorts $53.95 Discount 30% Tax 4.5? Please help what’s the correct answer ???
PLEASE HELPPPP MEEEEE
Answer:
With discount : $37.76
With tax : $56.38
With both : $40.19
Step-by-step explanation:
Hope this helps
a line that passes through the point (8, 2) and has the slope -5/2
Answer:
y = -5/2x + 22
Step-by-step explanation:
y = mx + b
2 = -5/2(8) + b
2 = -40/2 + b
2 = -20 + b
22 = b
y = -5/2x + 22
HELP FAST!
Is it possible to form a triangle with side lengths 3.5, 3.5, and 9? If so, will it be scalene, isosceles, or equilateral?
Answer:
Step-by-step explanation:
There is an inequality for a triangle with sides a; b; c that must always hold :a+b>cb+c>aa+c>b Using this , let 's check if there is a triangle with sides 3,5 ; 3,5 ; 93,5+3,5<9 From what we can conclude that such a triangle does not existAnd what is said in the problem is that it is possible to make an isosceles or equilateral out of it , it is said the other way around to get it . In fact, this triangle will not exist
On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100dB. How
many times as intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m.?
Answer:
1.24 times as intense
Step-by-step explanation:
The intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.
What is the average rate of change?Let the function y = f(x).
Then the average rate of change will be
Average rate of change = (y₂ - y₁) / (x₂ - x₁)
On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100dB.
Then the intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m. will be
⇒ (100 – 124) / 100
⇒ -0.24
Then the intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.
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i need help on this math problem
Answer:
Step-by-step explanation:
Slope: 3/1 (positive: line go uphill)
y-intercept: -5
Place your pencil on the vertical line (y) on -5. Go up 3 units and 1 to the right, repeat and trace the line (actually you only need two points to trace a line)
Find the value of x and y