Answer:
2; 11; 17; 23
Step-by-step explanation:
when you have an x you plug it in for the y
so
for the first one
you do
y = 3(1) - 1
y = 3 - 1
y = 2
that is the first one
you do this for the next 3 too
y = 3(4) - 1
y = 12 - 1
y = 11
y = 3(6) - 1
y = 18 - 1
y = 17
y = 3(8) - 1
y = 24 - 1
y = 23
those are your answer
Write an equation in point-slope form of the line having the given slope that contains the given point.
m:-2,(-6,-7)
The equation in point-slope form of the line having the slope m=-2 and the given point (-6,-7) is y+7=-2(x+6)
Given,
The slope = -2
The point = (-6,-7)
We know the point slope form [tex]y-y_{1}=m(x-x_{1})[/tex]
Substitute the values in the equation
y-(-7)=-2(x-(-6))
y+7=-2(x+6)
Hence, the equation in point-slope form of the line having the slope m=-2 and the given point (-6,-7) is y+7=-2(x+6)
Learn more about point-slope form here
brainly.com/question/24436844
#SPJ4
Segment AB has coordinates A (-6, 13) and B (10, -7). Find the distance from A to B and the midpoint of AB.
Answer:
Distance: 4√41
Midpoint: (2, 3)
Step-by-step explanation:
A: (-6, 13) B: (10, -7)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(10 - (-6))² + (-7 - 13)²
d = √(16)² + (-20)²
d = √256 + 400
d = √656
d = √16 × 41
d = 4√41
midpoint:
(x₁ + x₂) (y₁ + y₂)
---------- , ------------
2 2
(-6 + 10) (13 + (-7))
---------- , ------------
2 2
4 6
---------- , ------------
2 2
Midpoint = (2, 3)
I hope this helps!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write
3 2/3
as an improper fraction. You must show your work to receive all possible points.
The fraction converted to an improper fraction is 11/3
What is an improper fraction?An improper fraction can be defined as a type of fraction whose numerator is equal to or is greater than its denominator.
Examples of improper fractions are;
5/ 3, 8/2 , 11/ 7, 20/ 5, 4/ 1, 2/ 2, 5/ 3
Given the fraction;
3 2/3; this is a mixed fraction
To convert to improper fraction, we take the steps
Multiply the whole number by the denominator;
= 3 × 3 = 9
Add the value to the numerator
= 9 + 2 = 11
Divide by the denominator
= 11/ 3
Thus, the fraction 3 2/3 converted to an improper fraction is 11/3
Learn more about improper fractions here:
https://brainly.com/question/387381
#SPJ1
Determine whether y varies directly with x . If so, find the constant of variation.
y+3=-3 x
The required value of constant of variation, k does not exist for which x and y vary directly..
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.
Solving for the value of constant of variation
When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion —-- 1
Given relation is y + 3 = -3 x
y = -3 x - 3
y = -3(x + 1)
Comparing with equation 1, we get that y does not vary directly for any value of k.
Hence, the required value of constant of variation is does not exist.
To learn more about the constant of proportion, visit the link:
https://brainly.com/question/24868934
#SPJ4
Can y’all help me please
Step-by-step explanation:
least value is q
greatest value is n-q
close to zero is q-n
Determine the values of x in the equation x2 = 49.
Answer:
x = 7
Step-by-step explanation:
➟ x² = 49
in order to find the value of x will have to take square root of both side
➟ [tex] \sf \sqrt{x} = \sqrt{49} [/tex]
Calculate
➟ [tex] \sf \: x = 7[/tex]
Derek paid $3.20 for a 4 pack of Gatorade.
What is the cost per bottle?
Answer:
80¢ / 80centsStep-by-step explanation:
80¢ is your answer because Derek paid $3.20 for a pack of 4 Gatorade so you would have to divide $3.20 by 4 which will be 80¢
So your answer would be 80¢ per bottle.
put them in order from least to greatest: 2.5 6.7 6.9 7.5 1.8 1.6
Answer: 1.6,1.8,2.5,6.7,6.9,7.5
Step-by-step explanation:
Step-by-step explanation:
1.6 1.8 2.5 6.7 6.9 7.5
was that really all ? I don't see any trap in these numbers, so this is straight forward.
Determine whether ΔP Q R ≅ ΔX Y Z . (Lesson 4-4)
P(-3,-3), Q(-5,1), R(-2,6), X(2,-6), Y(3,3) Z(5,-1)
We can conclude that triangle ΔPQR ≇ ΔXYZ.
What exactly do we mean by the congruency of a triangle?If all three corresponding angles are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are repositioned.Two triangles are congruent if they satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
Given: P(-3,-3), Q(-5,1), R(-2,6), X(2,-6), Y(3,3), Z(5,-1)
To find if ΔPQR ≅ ΔXYZ
Q = Z = (5,-1)R = X = (2,-6)P(-3,-3) ≠ Y(3,3)So, ΔPQR ≇ ΔXYZ.
Therefore, ΔPQR ≇ ΔXYZ.
Know more about the congruency of a triangle here:
brainly.com/question/2938476
#SPJ4
Write the equation of the line that passes through the points (3, 5) and (6, 7). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
HELP PLEASEEE
Answer:
We can use the point-slope form of the equation of a line to find the equation that passes through the points (3, 5) and (6, 7).
The point-slope form of a line is:
y - y1 = m(x - x1)
where (x1, y1) is one of the points on the line and m is the slope of the line.
First, we need to find the slope of the line using the two given points. The slope formula is:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the two points.
Plugging in the values we know, we get:
m = (7 - 5) / (6 - 3) = 2 / 3
So the slope of the line is 2/3.
Now we can use one of the given points and the slope to write the equation of the line in point-slope form. We'll use the first point, (3, 5).
y - 5 = (2/3)(x - 3)
This is the equation of the line in point-slope form.
If we want to write it in slope-intercept form (y = mx + b), we can simplify:
y - 5 = (2/3)x - 2
y = (2/3)x + 3
So the equation of the line that passes through the points (3, 5) and (6, 7) is y = (2/3)x + 3.
The vertex of a parabola is (−2, 6) and its y-intercept is (0, 2). The parabola is the boundary of a quadratic inequality. The boundary is drawn with a dashed line, and the interior of the parabola is shaded.
The compound inequality in this problem is represented by:
y > -(x + 2)² + 6.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the vertex is at (-2,6), hence:
h = -2, k = 6.
y = a(x + 2)² + 6.
When x = 0, y = 2, hence we use it to find a as follows:
2 = 4a + 6
a = -1.
Hence:
y = -(x + 2)² + 6.
The inequality is the interior of the parabola, hence values greater, and the parabola is dashed, hence it is an open interval and the inequality is given by:
y > -(x + 2)² + 6.
More can be learned about inequalities at https://brainly.com/question/11613554
#SPJ1
What is the equation of the line that passes through the point
(
8
,
−
6
)
(8,−6) and has a slope of 0?
Answer:
The Answer is y=-6
Determine a series of transformations that would map polygon ABCD ento polygon
ABCD?
origin
Two similar pyramids have slant heights of 6 inches and 12 inches. What is the ratio of the surface area of the small pyramid to the surface area of the large pyramid?
The Volume of the requested pyramid is 68.5 in³.
What is the scalar factor?The scale factor is a dimensionless number that allows us to relate dimensions in figures, it is also known as numerical ratio or proportion.
We must determine the scale factor with the data of the inclined heights of each of the pyramids:
a/b = slant height (small) / slant height (large) = 6/12 = 3/6 = 1/2a/b = 1/2If the scale factor is a/b, the reason of the volume will be:;
(a/b)³ = 1/8
1/8 = V/540
V = 1/8 x 540
V = 68.5
V = 68.5in³
Learn more about scale factor in:
https://brainly.com/question/28562468
#SPJ4
PLEASE HELP
PLEASE SHOW HOW U CHECKED UR WORK
also show regular work
Answer:
k = -10
Step-by-step explanation:
1) Because of the division of the left side of the equation by 2, multiply both sides of the equation by 2, which means you now have :
-8 - 3k = 22
2) Now, add eight to both sides. Your equation now looks like this:
-8 + 8 - 3k = 22 + 8
3) Simplify.
-3k = 30
4) You now have k = -10
In 2000, Jefferson High School had 1125 students. By 2006 , the student body had increased to 1425 students. When Fairview High School was built in 2001 , it had 1275 students. How many students did Fairview High School have in 2006 if the student body grew at the same rate as Jefferson High School?
The number of students that Fairview High School have in 2006 is 1615 students.
This is a question of percentages.
Given that:-
The number of students in Jefferson High School had in 2000 are 1125.
The number of students in Jefferson High School had in 2005 are 1425.
The number of students in Fairview High School had in 2000 are 1275.
It is given in the question that the student body of Fairview High school grew at the same rate as Jefferson High School.
We have to find the number of students in Fairview High School in 2006.
Rate at which the number of students grew at the Jefferson High School =
[(1425-1125)/1125]*100 = (300/1125)*100 = 26 (2/3) % or 80/3 %
Let the number of students in the Fairview High School in 2005 be x.
Hence,
80/3 = [(x-1275)/1275]*100
x = 1615
To learn more about percentages, here:-
https://brainly.com/question/28269290
#SPJ4
how many 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher
13 litres of 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher.
Concept: In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in math.
Quantity of 1 glass of water= 0.8 liters
Quantity to be filled completely = 10.4 liters
No . of 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher = 10.8/0.4 = 13
For more information on division, visit https://brainly.com/question/941863
#SPJ9
Determine whether each function is even, odd, or neither.g(x) = x + x²
The function is neither an even function nor an odd function
How to determine the function type?The function is given as
g(x) = x + x^2
Calculate g(-x)
So, we have
g(-x) = -x + (-x)^2
Evaluate
g(-x) = -x + x^2
Calculate -g(x)
So, we have
-g(x) = -x - x^2
In the above computations;
g(x) does not equal g(-x) and -g(x)
Hence, the function is neither an even function nor an odd function
Read more about function types at:
https://brainly.com/question/23934926
#SPJ1
Class is over! Mr. Shrager does not always let his
statistics class out on time. In fact, he seems to enc
class according to his own "internal clock." The
density curve models the distribution of the
amount of time after class ends (in minutes) when
Mr. Shrager dismisses the class. (A negative value
indicates he ended class early.)
Part (a)
The horizontal part of the rectangle goes from m = -1 to n = 4. This is a distance of 5 units because |m-n| = |-1-4| = 5
The height is some unknown variable h
It must multiply with the base (5) to get an area of 1
base*height = area
5h = 1
h = 1/5
h = 0.2
Answer: height = 1/5 = 0.2========================================================
Part (b)
x = dismissal time minutes after class
Something like x = 2 means he dismisses class 2 minutes after the bell, while x = -1 is him dismissing class 1 minute early before the bell.
The phrasing "within 1 minute" means that x is between p = -1 and q = 1. So we can say [tex]-1 \le x \le 1[/tex]
This is a span of 2 units because |p-q| = |-1-1| = 2. Divide this over the entire horizontal span: 2/5 = 0.4
Exactly 40% of the time the teacher lets his class out within one minute of the scheduled end time.
Answer: 0.4
Find the slope of the line through each pair of points. (-3,5) and (4,5)
The slope of the equation is 5 for the coordinates (-3,5) and (4,5).
What factors determine slope?Locate two points along the chosen line and find their coordinates.
Find the y-coordinate difference between these two sites (rise).
Find the x-coordinate difference between these two sites (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).
The slope calculation formula is -
m = y2 - y1 / x2 - x1
Given points are -
(-3,5) and (4,5)
Now, putting the values in equation,
m = 5-5 / 4+3
m = o
As slope is 0, this implies,
the equation of line is y = 5
To learn more about slope of equation from given link
https://brainly.com/question/3493733
#SPJ4
transformation geometry definition
Answer:
In mathematics, transformation geometry (or transformational geometry) is the name of a mathematical and pedagogic take on the study of geometry by focusing on groups of geometric transformations, and properties that are invariant under them.
Step-by-step explanation:
in easy language it's Transformations. Transformation means to change. Hence, a geometric transformation would mean to make some changes in any given geometric shape.
11
Collaborato
05 Use Math Tools Work with a partner, if the
the figure at the right is 40", determine the me
angle without using a protractor.
Answer:
1) 140°
2) 40°
3) 140°
4) 40°
5) 140°
6) 40°
7) 140°
Step-by-step explanation:
1) Angles on a straight line = 180°
180° - 40° = 140°
2) Angle 3 is Vertically opposite to Angle 1
So they are the same Angle
3) Angle 4 is Vertically opposite to Angle 2
So they are the same Angle
4) Angle 5 is corresponding to Angle 1
So they are the same angle
5) Angle 6 is corresponding to Angle 2
So they are the same angle
6) Angle 7 is corresponding to Angle 3
So they are the same angle
7) Angle 7 is corresponding to Angle 4
So they are the same angle
HELP ME PLS PSL POPLSSLPPSLPSLPLSPSLPSLPLPLSPLPSLPSLPSLPSLPSLSPLSPLSPLPSLPSLPSLPSLPSLPSLPSLPSLPSLPSLPSLPSLPSLPLSPSLPSLPSLSP
Your answer would be the second one.
We know that adding [tex]\frac{1}{2}[/tex] to x gives us 4, as that's provided by the question.
So [tex]4=x+\frac{1}{2}[/tex]. Now, to find x, simply subtract [tex]\frac{1}{2}[/tex] from 4 to give us x, which gives us [tex]3\frac{1}{2}[/tex].
State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Angles 1 and 7 are alternate exterior angles.
The statement "∠1 and ∠7 are alternate exterior angles" is true
Given,
The statement "∠1 and ∠7 are alternate exterior angles"
Here,
∠1 and ∠7 are lie on opposite sides of the transversal and both are nonadjacent exterior angles
So, ∠1 and ∠7 are alternate exterior angles.
Hence, the statement "∠1 and ∠7 are alternate exterior angles" is true
The complete question is:
State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Angles 1 and 7 are alternate exterior angles.
Learn more about alternate exterior angles here
brainly.com/question/2279752
#SPJ4
Gary count these items on his desk
4 pencils
12 markers
24 crayons
The ratio of pencils to all the item on the desk is 1 : 10
According to Gary,
Number of pencils on the desk = 4
Number of markers on the desk = 12
Number of crayons on the desk = 24
Total number of item son the desk = 4 + 12+ 24
= 40
The ratio of pencils to all the item is given as = (number of pencils)/(total number of items)
= 4/40
= 1/10
Which in ratio can be written as 1 : 10
Thus the ratio of pencils to all the item is 1 : 10
Learn more about ratio here : https://brainly.com/question/26460724
#SPJ9
Tanya bought the least expensive brand of dog food. Eddie bought the most expensive brand of dog food. Which brand did each person buy?
Tanya - Iams ProActive Lamb & Rice
Eddie - Ultimate Pet Nutrition Nutra Complete
point C is on a line segment BD .Given BD = 5x , BC = 4x and CD = 4 determine the numerical length of BD
The numerical length of BD is 20.
We have a Line Segment BD and a point C on it.
We have to determine the numerical length of BD.
What is Line Segment?A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.
According to question, we have -
BD = 5x
BC = 4x
CD = 4
Now,
BD = BC + CD
5x = 4x + 4
x = 4
Therefore - BD = 5x = 5 x 4 = 20
Hence, the numerical length of BD is 40.
To solve more questions on Lines and Lengths, visit the link below -
brainly.com/question/16345328
#SPJ1
2. If lime juice has a pH of 1.7, what is the concentration of hydrogen
ions (in mol/L) in lime juice, to the nearest hundredth? Use the
formula pH = -log[H +].
Answer:0.02 mol/L
Step-by-step explanation:
Given: pH = 1.7
Required: [H+]
Equation: pH = -log [H+]
Solution:
Take the antilog of both sides
[H+] = antilog(-pH)
Antilog(-pH) is equal to 10^-pH. Therefore
[H+] = 10^-pH
Solve for [H+]
[H+] = 10^-1.7
Answer: [H+] = 0.02 mol/L
Bonjour, je ne comprends pas mon exercice de Mathématiques.. Pouvez-vous m'aider à le résoudre ? Merci d'avance !
L'exercice en question :
" On donne f(x) = 6x² - 7x
Quelles sont les images de 2 et de -3 par la fonction f ? "
Answer:
Je vous souhaite le Bonjour dominical,
Step-by-step explanation:
Si tu veux une réponse:
soit tu postes ce devoir dans la matière French
soit tu postes le problème sur le site nosdevoirs.fr
f(2)=6*2²-7*2=24-14=10
f(-3)=6*(-3)²-7*(-3)=54+21=75
Write an explicit and a recursive formula for each sequence. -32,-20,-8,4,16, . . . . . .
an=a1+d(n−1) is the explicit and a recursive formula for each sequence .
What is sequence?
See the pattern
-32-(-20) = -12
-20-(-8) = -12
-8-4 = -12
By this the explicit and a recursive formula for each sequence is an=a1+d(n−1).
An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.
Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.
An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.
To learn more about arithmetic sequence from the given link:
brainly.com/question/15412619
#SPJ4