Answer: c=-0.01
Step-by-step explanation:
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
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.
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A 138 inch pipe is cut into two pieces one piece is two times the length of the other. What is the lenfth of the shorter pipe?
Answer: 46 inches
Step-by-step explanation: the larger piece is 92 inches 92+46=138
Find the greatest common factor of the following terms. a^8b^6,-a^6b^3
Reason:
The 'a' terms are a^8 and a^6. We go for the smallest exponent when forming the GCF. Go for the largest exponent when finding the LCM.
The b terms are b^6 and b^3. The smaller exponent is b^3, which is also part of the GCF
We have a^6 and b^3 combine to form a^6b^3
Identify a pattern and find the next three numbers in the pattern. 8,16,24,32, . . .
The next three numbers are - 40, 48, 56,..
The pattern belongs to multiples of 8.
Complete pattern is - 8,16,24,32,40, 48, 56,..
What is pattern completing?Examine the pattern's initial three to four numbers. What connection exists between these numbers, you could ask. For instance, the first three to four numbers in this mathematical pattern are 1, 3, 6, and 10. As the numbers rise, it appears that you must add to obtain the subsequent number. You begin by adding 2, then 2, 3, and then 4. Therefore, if you put this on paper, you probably notice a pattern emerging.
To test whether your solution works, try the remaining pieces of the pattern that was provided.
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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
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100 POINTS + BRAINLEIST ANSWER ASAP
Answer:
BC = 21
Step-by-step explanation:
AB + BC = AC
[tex]7x + 8 + 3x + 6 = 64[/tex]
[tex]10x + 14 = 64[/tex]
[tex]10x = 50[/tex]
[tex]x = 5[/tex]
BC = 3(5) + 6 = 21
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.
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Identify each sequence as arithmetic, geometric, or neither. Then find the next two terms. 45,90,180,360, .............
45,90,180,360, .... is a geometric sequence. The next two terms are 720, 1440.
In an arithmetic sequence, the difference between two subsequent terms is constant. This difference between two subsequent terms is usually called common difference (d), and its value is:
d = a(n) - a(n-1)
Where a(n) is the nth term and a(n-1) is the (n-1)-th term.
In a geometric sequence, the ratio (r) between two subsequent terms is constant.
r = a(n)/a(n-1)
The given sequence is: 45,90,180,360, .....
We can check that:
(90 - 45) is not equal to (180 - 90) and to (360 - 180)
So, there is no common difference in the given sequence.
Let us now check the ratio:
90/45 = 180/90 = 360/180 = 2
The ratio between two subsequent terms is constant, that is 2. Therefore, we can conclude that the given sequence is a geometric sequence with a(1) = 45 and r = 2.
In a geometric sequence, the next term is obtained by multiplying the current term by its ratio.
Hence, the next two terms are calculated as:
360 x 2 = 720
720 x 2 = 1440
or 720, 1440.
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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].
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
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)
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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 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
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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]
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.
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.
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
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what is two and four nineths plus two thirds
Answer:
3 1/9
Change 2/3 to 6/9. Add 6/9 + 4/9 to get 10/9. Make a mixed number, 1 1/9. Add 2, 3 1/9.
Which of the following is NOT an example of a situation in which an employee can apply the Family and Medical Leave Act of 1993?
O During birth and care of a newborn child
After placement of an adopted or foster care child
O When caring for a great-aunt or great-uncle with a serious medical condition
O When unable to work because of a serious medical condition.
HELP: Write whether the ratio demonstrates a proportional relationship
Sandra swam 8 laps in 16 minutes. George swam 18 laps in 38 minutes.
Answer:
16/8 = 2
38/18 = 2.1
But 2.1 is approximately equal to 2, hence a proportional relationship.
Determine a series of transformations that would map polygon ABCD ento polygon
ABCD?
origin
Please help me out with this question
Thank you
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
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c. Choose two numbers other than 1 and 1 . Generate a Fibonaccilike sequence from them. Write the first ten terms of your sequence, find the sum, and divide the sum by 11. What do you notice?
The two numbers other than 1 and 1 are 2 and 3 finally get the 34 means 7 th term in the sequence.
What is Fibonacci sequence and what are the first ten terms?The Fibonacci numbers, sometimes known as Fn in mathematics, are a series of numbers. Each number in the Fibonacci sequence is composed of the sum of the two numbers before it. Typically, the sequence begins with 0 and 1.
from the question
Let take the first term as 2.
and second term as 3.
2 + 3 = 5
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
13 + 21 = 34
21 + 34 = 55
34 + 55 = 89
The Fibonacci sequence includes the numbers 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 and so on.
Sum=2+3+ 5 + 8 +13 + 21+
34+55+89+144 = 374 is what we get when we add up the numbers in the series.
The first ten Fibonacci numbers sum is 374.
now divided the sum by 11.
374/11 = 34.
so,to get the 34 means 7 th term in the sequence.
Hence, the two numbers other than 1 and 1 are 2 and 3. finally get the 34 means 7 th term in the sequence.
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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.
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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
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.
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
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!
