Answers
Answer:
-7.5
Alternatively,
-0.5(units^-1) + (-4(units^0)) + (-3(units))
Step-by-step explanation:
On graph, only clearly defined points:
1. x = -3 , y = 0
2. x = -3 , y = -8
3. x = 5 , y = -4
So for:
1. -3 = c ( + a×(0^2) + b×0)
And
2. -3 = a×((-8)^2) + b×(-8) + c = 64×a + (-8)×b + c
Since c = -3 ==> 64×a - 8×b = 0
Simplified ==> 8×a - b = 0 ==> b = 8×a
3. 5 = a×((-4)^2) + b×(-4) + c = 16×a + (-4)×b + c
Since c = -3 ==> 16×a - 4×b = 5 - (-3) = 8
Simplified ==> 4×a - b = 2
Since b = 8×a ==> 4×a - (8×a) = 2
Simplified ==> 2×a - 4×a = 1
==> -2×a = 1
==> a = -0.5
Since b = 8×a ==> b = 8×(-0.5) = -4
So...
c = -3
b = -4
a = -0.5
Then...
a + b + c = -0.5 - 4 - 3 = -7.5
Related Questions
Define mean and median for a set of data
Answers
Answer:
The mean is the average number of a data set gotten by adding all the numbers then dividing by two.
the median is the middle number in a sorted set of data,either sorted in ascending order or descending order.
I hope this helps
To calculate mean:
• add up all the numbers,
• then divide by how many numbers there are.
Example:
Data: 5, 6, 10, 1
Add these all together, which is 22, then divide by 4 (because that is how many numbers there are), so:
the mean is 5.5
To calculate median:
Arrange your numbers in order.
Cross off numbers until you get to the middle.
If there is an even number of data, then find the two in the middle and find the middle of that.
Example:
Data: 5, 6, 10, 1
Arrange: 1, 5, 6, 10
So, the middle 2 are 5 and 6. In between these would be 5.5, so that is the median.
If the data was: 1, 5, 6, 8, 10,
then the median would be 6.
1. Đường kính của một loại trục máy là một đại lượng ngẫu nhiên có phân phối chuẩn N (μ = 250mm, σ2 = 25mm2). Trục máy được gọi là hợp quy cách nếu đường kính từ 245mm đến 255mm. Cho máy sản xuất 100 trục. Tính xác suất để:
a. Có 50 trục hợp quy cách.
b. Có không quá 80 trục hợp quy cách
Answers
Answer:
cannot understand the language man
but please follow
A drinks factory packed their drinks into red and yellow boxes. There were 24 more red boxes than yellow boxes. Each red box contained 60 packets of milk and each yellow box contained 75 packets of fruit juice. There were 120 fewer of milk than packets of fruit juice in all
boxes.
(a) How many yellow boxes were used ?
(b) How many packets of milk were packed into the the red boxes?
Answers
Answer:
A) 128
B) 7800
Step-by-step explanation:
Trial and error until I got to 75 x 104 and 60 x 128 (which abides by the fact that there has to be 24 more red boxes) which equals 7800 and 7680 and if you take them away from each other you get 120
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is four
times the measure of the first angle. The third angle is 10 more than the second. Let , y, and z represent the measures of
the first, second, and third angles, respectively. Find the measures of the three angles.
Answers
9514 1404 393
Answer:
(36°, 67°, 77°)
Step-by-step explanation:
The problem statement lets us write the equations ...
x + y + z = 180 . . . . sum of angles in a triangle
y + z = 4x . . . . . 2nd and 3rd total 4 times the first
z = y +10 . . . . . . 3rd is 10 more than 2nd
__
Substituting for z in the second equation, we have ...
y +(y +10) = 4x
y +5 = 2x . . . . . . divide by 2
y = 2x -5 . . . . . . rearranged
z = 2x +5 . . . . . . substitute for y in the last equation
Now, we can write the first equation entirely in terms of x:
x +(2x -5) +(2x +5) = 180
5x = 180
x = 36
y = 2(36) -5 = 67
z = 67 +10 = 77
The three angles are (x, y, z) = (36°, 67°, 77°).
Click on the graph where a transformation occurred that doesn't preserve the physical characteristics of rectangle FGHI.
Answers
Answer:
Click the graph in Quadrant 1
Step-by-step explanation:
This graph is bigger in side length.
is y=x^2 a proportional relationship?
is y=2+x a proportional relationship?
is y=2/x a proportional relationship?
is y=2x a proportional relationship?
Answers
Answer:
is y=x^2 a proportional relationship?
[tex]{ \sf{yes. \: constant \: of \: proportionality = 1}}[/tex]
is y=2+x a proportional relationship?
[tex]{ \sf{no. \: unless \: y \: is \: proportinal \: to \: (2 + x)}}[/tex]
is y=2/x a proportional relationship?
[tex]{ \sf{yes. \: where \: proportianality \: constant \: is \: 2}}[/tex]
is y=2x a proportional relationship?
[tex]{ \sf{yeah. \: constant \: is \: 2}}[/tex]
The volume of the cylinder is V=1/3r^2h, where r is the radius and h is the height. if the radius of a cylinder is 3 inches and the height is 8 inches, which answer below best estimates it’s volume?
Answers
Answer:
75 inches
Step-by-step explanation:
with this we use change of subject
V=1/3
Pie=3.14
radius =3
height =8
so therefore
V=1/3 ×3.14×3×3×8
V=75.36
7
Abdul's gas tank is
1
3
full. After he buys 12 gallons of gas, it is
full. How many gallons can Abdul's tank hold?
9
Answers
Answer:
27
Step-by-step explanation:
Let T be the capacity of the tank.
Since the tank was 1/3 full and ends up 7/9 full.
[tex]\frac{7}{9}[/tex]T - [tex]\frac{1}{3}[/tex]T = 12
Simplifying the left side of the equation, tells us how much 12 gallons fills.
[tex]\frac{4}{9}[/tex]T = 12
Now we solve for T:
T = 12*9/4
T = 27
PQRS is a parallelogram of area 18 cm. if PQ = 5 cm & QR = 4 cm. calculate the lengths of corresponding heights ?
Answers
Answer:
2cm
Step-by-step explanation:
area of parallelogram=b*h=18cm
5*4=20
length of corresponding heights=20-18
=2cm
the length of corresponding height of the parallelogram is : 2cm
Meaning of a parallelogramA parallelogram can be defined as a simple quadrilateral that is it possesses four sides and two pairs of parallel sides.
A opposite sides of a parallelogram are equal and the opposite angles of a parallelogram are equal.
In conclusion, the length of corresponding height of the parallelogram is : 2cm
Learn more about parallelogram : https://brainly.com/question/970600
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Which of the following expressions are equivalent?
I. 5a6
II. 30a
III. a6 + a6 + a6 + a6 + a6
IV. 6a5
Answers
Answer:
5а⁶=а⁶+а⁶+а⁶+а⁶+а⁶
~~~~~~~~
I need help finding what U stand for
Answers
Answer:
u = 18
Step-by-step explanation:
The two angles 3u and u+36 are equal so
3u = u+36
Subtract u from each side
3u -u = u+36-u
2u = 38
Divide by 2
2u/2 = 36/2
u = 18
can someone please help with answer and explanation
Answers
9514 1404 393
Answer:
(x, y) = (3, 12)
Step-by-step explanation:
The first step in any problem solving is to look at the problem. Here, we see that the first equation can be reduced to standard form by dividing it by 2. This would give both terms a coefficient of 1.
We see that the second equation already has a variable with a coefficient of 1.
When solving a system by substitution, it can save some effort if you start by finding a variable with a coefficient of 1 or -1. Since we see that in the second equation, we choose to solve the second equation for y:
y = 4x . . . . . . . add 4x to both sides of the second equation
Now, we have an expression for y that we can substitute into the first equation.
2x +2(4x) = 30 . . . . substitute for y
10x = 30 . . . . . . . . simplify
x = 3 . . . . . . . . . . divde by 10
y = 4(3) = 12 . . . . . find y using y=4x
The solution is (x, y) = (3, 12).
__
Additional comment
I doesn't matter what variable gets substituted. The purpose of the exercise is to reduce the number of variables in the equation. Here, we start with an equation that has 2 variables. Substituting for one of them gives an equation with only one variable, a lot easier to solve.
You don't have to find an expression for the "bare" variable. We could solve the second equation for 2x, for example: 2x = y/2, then substitute for 2x in the first equation: y/2 +2y = 30 ⇒ y = (2/5)(30) = 12. Or, we could solve the first equation for 2x and substitute into the second: 2x=30-2y, y-2(2x) = 0 ⇒ y-2(30-2y) = 0 ⇒ y = 60/5 = 12.
The substitution property of equality says you can make any substitution of equal values anywhere. "butter = margarine" means you can substitute butter for margarine, or vice versa, wherever you may wish.
14. A quadratic equation is graphed above.
Which of the following equations could be
paired with the graphed equation to create
a system of equations whose solution set is
comprised of the points (2,-2) and (-3, 3)?
A. y = x + 6
B. y = x - 6
C. y = X
D. y = -x
Answers
Answer:
D.
Step-by-step explanation:
2=-2，3=-3
2²=-2²，3²=3²
An investment of $8,120 is earning interest at the rate of 5.8% compounded quarterly over 11 years. How much
interest is earned on the investment? Show your work.
Answers
Answer:
5180.56 Dollars...........
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station.Reference: 10_02What is your decision if the calculated value of z is -1.02 and the
Answers
Answer:
at 15.39% that should not be sufficient to reject the Null
= "Fail to reject the Null hypothesis"
Step-by-step explanation:
z = -1.02 (L)0.15386 (R)0.84614
84.61% / 15.39%
Solve. Justify your responses. Given:a║b and c║d, m∠ 4=35° Find: m∠1, m∠2, and m∠3
Answers
Answer <1 = 145
< 2= 35
<3 = 35
PLS MARK BRAINLIESTSTEPS BELOWStep-by-step explanation:
<1 + <4 = 180 (supplementary since you can find corresponding side and straight angle)
<1 = 180-35
=145 degrees
<2 =<4 corresponding angles
<2 = 35 degrees
<3 = 35 degree (corresponding to <2)
I need help answer asap
Answers
9514 1404 393
Answer:
A
Step-by-step explanation:
To form the conjugate, change the sign between terms. Leave the radical alone.
the conjugate is √(x-5) +2 . . . . matches choice A
[tex]\huge\bold\pink{ANSWER} [/tex]
===========================================
A
[tex] \sqrt{ \times - 5 + 2} [/tex]
tsurezure children
#BrainliestBunch
1. The lease common multiple of 3, 4, 6, and 8 is
OA. 8.
OB. 24.
O C.72.
OD.96.
Answers
Answer:
B. 24.
Step-by-step explanation:
3
4 = 2*2
6 = 2*3
8 = 2*2*2
LCM = 2*2*2*3 = 24
From the picture, two cylindrical glasses of the same capacity. Find the diameter length (X) of a small glass of water.
8
12
14
10
Answers
Answer:
12
Step-by-step explanation:
πr²h=πr²h
π(4.5)²*10=π(x/2)²4.9
The volume of the triangular prism is 54 cubic units.
What is the value of x?
5
9
4
3
Answers
Answer: the answer is 3
Step-by-step explanation:
I just took the test
Find the minimum sample size needed to be 99% confident that the sample's variance is within 30% of the population's variance.
Answers
The Minimum sample size table is attached below
Answer:
[tex]X=173[/tex]
Step-by-step explanation:
From the question we are told that:
Confidence Interval [tex]CI=99\%[/tex]
Variance [tex]\sigma^2=30\%[/tex]
Generally going through the table the
Minimum sample size is
[tex]X=173[/tex]
what equation shows a slope of 2/3 and a white intercept of 0, -2
Answers
y = 2/3 x - 2
Or
y + 2 = 2/3 ( x )
Answer:
y= 2/3x - 2
hope this helps :)
1
Select the correct answer.
The graph shows the quadratic function f and the table shows the quadratic function &
f(x)
4
2
X
2
14
M
Х
-5
-4
-3
-2
-1
0
1
g(x)
10
7
6
7
10
15
22
Which statement is true?
Answers
Answer:
g(x)
because it is a quadratic equation it is mirrored the other one isn’t even a function
The true statement is The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
The function g has the axis of symmetry as x = 2, since the values of the function below and above x = 2 changes in the same way.
The function f is a parabola.
The axis of symmetry is also x = 2, since the graph is the same before and after the line x = 2.
So the both the functions have same axis of symmetry.
Maximum value of the function f = 4 at x = 2. Since no other values of f is greater than 4.
At x = 2, the value of g = 3
Maximum value of g = 3
So, maximum value of f is greater than the maximum value of g.
Hence the correct option is B.
Learn more about Functions here :
https://brainly.com/question/14708365
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Your question is incomplete. The complete question is as given below.
The graph shows the quadratic function f and the table shows the quadratic function g.
x : -2 -1 0 1 2 3 4
g(x) -1 0.75 2 2.75 3 2.75 2
Which statement is true?
The functions f and g have the same axis of symmetry, and the maximum value of f is less than the maximum value of g.
The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
The functions f and g have different axes of symmetry and different maximum values.
The functions f and g have the same axis of symmetry and the same maximum values.
What is the value of p?
A. 125°
B. 45°
C. 35°
D. 550
Answers
Answer:
C- 35 °
Step-by-step explanation:
Interior angle adjacent to 90° angle = 90° (supplementary angles of a line segment).
Interior angle adjacent to 125° angle = 55° (supplementary angles of a line segment).
Sum of two interior angles of the triangle = 55+90 = 145°
∠p = 180° - 145° = 35°
how to find the dot product of 1×3 vectors
Answers
Answer:
Since we know the dot product of unit vectors, we can simplify the dot product formula to a⋅b=a1b1+a2b2+a3b3. we can use the same formula, but with a3=b3=0, a⋅b=a1b1+a2b2.
Step-by-step explanation:
hope it will help uplease mark me brillientPLEASE HELPPPPPPPPPP
Answers
Answer: SORRY NEED AN ACCOUNT ON - 10
Step-by-step explanation:
To resolve the proposed issue, an explanation is needed in which the subject is addressed
What is the point slope equation of a line with slope -3 that contains points (-8,-4)
Answers
Answer:
y+4=-3(x+8)
Step-by-step explanation:
state and prove Bayes Theorem
Answers
Answer:
Bayes’ Theorem describes the probability of occurrence of an event related to any condition. It is also considered for the case of conditional probability.
For prove refer to the attachment.
Hope this helps you^_^
Which side of XYZ is the longest?
A. xy
B. xz
C. yz
D. cannot be determined
Answers
Answer:
the answer is x because its small
Answer:
Step-by-step explanation:
It’s Xy
What is the next fraction in each of the following patterns? a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .? b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101 . . .? c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256 . . .?
Answers
Answer:
a.
[tex] \frac{36}{40} [/tex]
