Jasmine began completing the table below to represent a particular linear function.
a. Complete the table and find the rate of change for the function
Rate of change:
b. Create a graph and write an equation to represent this function
Answers
Answer:
Step-by-step explanation:
Rate of change = Slope of line
Use the coordinates of two points to find the slope of the line.
Slope of line through (2,5) and (0,1) = (5-1)/(2-0) = 2
(0,1) is a point on the line, so the y-intercept is 1.
Slope-intercept equation of the line: y = 2x+1
Use the equation to fill in the rest of the table:
x = -2, y = -3
x = ½, y = 2
x = 1, y = 3
x = 3, y = 7
Related Questions
Destiny bought a carton of orange juice. She drank 1/3 of the carton on Monday and 5/12 of the carton on Tuesday. What fraction of the carton did Destiny drink?
A. 6/12 Carton
B. 9/12 Carton
C. 6/15 Carton
D. 1 Carton
Answers
Answer:
B
9/12 carton
Step-by-step explanation:
Get both fractions to have the same denominator.
So make 3 into 12 by multiplying numerator and denominator by 4.
1×4/ 3×4 = 4/12
Now you can add the fractions.
5/12 + 4/12
= 9/12 Carton
Containers A (6cm, 5cm, 4cm), B (5cm, 4cm, 3 cm) and C (3cm, 3cm, 2 cm) are three rectangular containers. At first, container A is filled with water to its brim while containers B and C are empty. Next, some water from container A is poured into containers B and C so that container B is completely full while container C is half full. Find the height of the water left in container A..
Answers
<><><><><><><><><><><><><><><>
Which numbers are irrational?
Select each correct answer.
−144−−−√
10−−√
0.04−−−−√
12−−√
Answers
Answer:
10, 12
Step-by-step explanation:
Use mental math to simplify.
(4.55 + 27) + 5.45
Answers
Answer:
31.55+5.45
Step-by-step explanation:
4.55+27 would go to 31.55
31.55+5.45
Answer: 37
Step-by-step explanation:
4.55 + 27 = 31.55
31.55 + 5.45 = 37
Solve for x. 5000(2)^x = 3500(3)^x
Answers
Answer:
0.887966
Step-by-step explanation:
1. Divide by 3500
(5000/3500)(2^x) = (3^x)
2. divide by 2^x and simplify
10/7 = (3/2)^x.
3. apply 'ln' function
ln(10/7) = xln(3/2)
4. divide ln(3/2)
ln(10/7) / ln(3/2) = x
x = 0.87966
Solve showing all the steps
Answers
Answer:
Step-by-step explanation:
Is the second exponent 6, or 6x ?
If it is 6x, then x = -½
1/4v=5 plsssssss helppp meeeee
Answers
Answer:
v=20
Step-by-step explanation:
multiply both sides by 4
1/4*4=1
5*4=20
Six years ago a man's age was six times the age of his son. Four years hence, thrice his age will be equal to eight times his son's age. find their percent ages.
Answers
Answer:
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
Step-by-step explanation:
-6:
father's age = 6x
sons age = x
Present age =
fathers= 6x+6
sons = x+6
+4 yrs:
father's age = 6x+6 +4 = 6x + 10
sons age = x+6 + 4 = x+ 10
3(6x +10) = 8( x + 10 )
18x+30 = 8x+80
18x-8x = 80-30
10x = 50
x= 50/10 = 5
~~~~~~~~~~
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
I hope im right!!!
The table shows several points for function f(x).
A 2-column table with 8 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4, 6, 8, 10. Column 2 is labeled f (x) with entries 19, 15, 11, negative 6, negative 7, negative 8, negative 10, negative 14.
Which statement correctly identifies a point on the graph of f–1(x)?
A. The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x).
B. The point (–2, 15) is on the graph of f(x), so the point (2, –15) will be on the graph of f–1(x).
C. The point (–4, 19) is on the graph of f(x), so the point (–4, –19) will be on the graph of f–1(x).
D. The point (10, –14) is on the graph of f(x), so the point (–14, 10) will be on the graph of f–1(x).
Answers
Answer:
The answer is D.
Step-by-step explanation:
Just took the test. Got 100%.
ABC measures 140° and is bisected
by BD. What is mDBC= ?
Answers
Answer:
angle abc =140°
and bd bisected by bd so, bd divede angle abc.
angle dbc= angle abc / 2
angle dbc=140°/2
angle dbc=70°
The measure of angle DBC from the given figure is 70°.
The measure of angle ABC is 140°.
What is an angle bisector?The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
Angle bisector BD is bisecting angle ABC equally, which is
∠ABC=∠ABD+∠DBC
⇒ 140°=∠DBC+∠DBC
⇒ 2∠DBC=140°
⇒ ∠DBC=70°
Therefore, the measure of angle DBC from the given figure is 70°.
Learn more about the angle bisector here:
https://brainly.com/question/12896755.
#SPJ2
What is surface area of this? Click image
Answers
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
need help geometry question
Answers
Answer:
okay the answer 13.02 enjoy
DA is tangent to the circle at A and DC is tangent to the circle at C. Find m
Answers
Answer:
D
Step-by-step explanation:
m angle b equals 77 now we have to find the arc of andle b.
so use the equation arc AC = 2(77)
arcAC = 154
360 - 154
=206
206/2
= 103
Help with this lesson. thank you for those who take the time to help me out.
Answers
Answer:
58 mi^2.
Step-by-step explanation:
We can split this up into 2 rectangles and 1 triangle.
Height of the triangle = 4 + 2 + (12-11)
= 7.
Total area
= 2*12 + 2*10 + 1/2 * 4 * height of the triangle
= 24 + 20 + 1/2 * 4 * 7
= 44 + 14
= 58 mi^2.
5x - y = 6
x + 6y = 4
To solve the system by elimination, what integer would you multiply the FIRST equation by?
Answers
Answer:
1.5x-y=6
x-y=5+6
x-y=11
2.x + 6y =4
x+y=6-4
X+y=2
xy=2
SORRY THE WRONG
Step-by-step explanation:
FROM INDONESIAN
For the function f(x)=ax^3+bx^2-5x+9, determine the values of a and b so that f(-1)=12 and f'(-1)=3
Answers
If
f(x) = ax ³ + bx ² - 5x + 9
then
f '(x) = 3ax ² + 2bx - 5
Given that f (-1) = 12 and f '(-1) = 3, we get the system of equations
-a + b + 5 + 9 = 12
3a - 2b - 5 = 3
or
-a + b = -2
3a - 2b = 8
Multiply through the first equation by 2 and add it to the second one to eliminate b and solve for a :
2(-a + b) + (3a - 2b) = 2(-2) + 8
-2a + 2b + 3a - 2b = -4 + 8
a = 4
Substitute this into the first equation above to solve for b :
-4 + b = -2
b = 2
Answer is a = 4, b = 2.
First derivative of an equation:
The derivative formula is one of the basic concepts used in calculus and the process of finding a derivative is known as differentiation. The derivative formula is defined for a variable 'x' having an exponent 'n'. The exponent 'n' can be an integer or a rational fraction. Hence, the formula to calculate the derivative is:
[tex]\frac{d}{dx} x^{n} = n x^{n-1}[/tex]
(Given)
[tex]f(x) = ax^{3} + bx^{2} - 5x + 9[/tex]
And f'(x) we get , [tex]f'(x) = 3ax^{2} + 2bx-5[/tex]
Now, also given f(-1) = 12
=> [tex]f(-1) =a (-1)^{3} + b(-1)^{2} - 5 (-1) + 9[/tex]
=> 12 = -a + b +5 + 9
=> a = b + 2 ------( 1 )
Also given, f'(-1) = 3.
i.e., [tex]3 = 3a(-1)^{2} + 2b(-1) - 5[/tex]
3 = 3a -2b -5
From eq - (1) we can replace a.
3 = 3(b + 2) - 2b - 5
3 = 3b + 6 - 2b - 5
b = 2.
a = 4.
Learn more about derivative of equation here:
https://brainly.com/question/2990272?referrer=searchResults
#SPJ2
y=5x-22-x+8 y=-20
find x and y show work.
Answers
See attached photo. Good luck.
The design for a small counter top
is shown. What is the perimeter and
area of the counter top?
Answers
Answer:
P = 22 ft
A = 18 ft²
See picture
Step-by-step explanation:
The perimeter is all the sides added together. You have to find the missing values. The missing vertical value is 2.5 (4-1.5). The missing horizontal value is 4 (7-3).
Add all the sides together for the perimeter.
Split the shape into 2 rectangles to find the area. Find the area of each rectangles, then add them together to find the total area.
There are 15 seats on a bus . 6 persons
took the bus. In how many different ways can
these 6 persons sit ?
Answers
simply, they can set in many different ways
Violet made cookies for the bake sale. 7/10 of the cookies are chocolate chip. 3/4 of the remaining cookies are sugar. What fraction of cookies are sugar cookies?
Answers
We now want to find what 3/4 of 3/10 is.
We can do this by multiplying both fractions
3/4x3/10 (we just multiply across) to get 9/40.
We cannot simplify this answer, so our final answer is 9/40 of the cookies are sugar cookies.
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2 find the function F[G(x)]-F(x)
Answers
Answer:
4x+4
Step-by-step explanation:
F[G(x)]
=F(3x+2)
=2(3x+2)-1
=6x+4-1
=6x+3
F[G(x)]-F(x)
=6x+3-(2x-1)
=6x+3-2x+1
=4x+4
3/18 of the teachers at Naran's school are math teachers, and 30 of the teachers are not math teachers. How many teachers are there at Naran's school?
Answers
Answer:
36 teachers total
Step-by-step explanation:
In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?
Answers
Step-by-step explanation:
Given
GPA = NO + B1Study + B2work + B3leisure + B4sleep + u
1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168
2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.
3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.
GPA = b0 + B1Study + b2sleep + b3work + u
Find the area of the shape shown below.
Answers
Answer: 10
Step-by-step explanation:
To work out the area of this shape you have to split this into 1 square and 2 triangles.
The formula of the area of the triangle is base x height divided by 2
The first triangle on the left would be 2x2/2=2
The area of second triangle on the left is 4x2/2=4
The formula for the square is base x height.
Then to work out the area of the square you do 2x2=4
So, to work out the area of the whole shape you add all of the areas together.
2+4+4=10
Solve -a + 7 = 2a - 8. a=5 D a= 15 a -3 = B a
Answers
-a + 7 = 2a - 8
we will add 8 to both sides and simply to
-a + 15 = 2a
We will then add a to both sides and simply to
15 = 3a
We then divide by 3 on both sides to get
a=5
PLEASE HELP ME!?!
(2 questions)
Answers
Second one is x = 24
What is the volume of the solid?
Cheese yd
21.8 yd
19.2 yd
40.8 yd
please help!
Answers
Answer:
Step-by-step explanation:
Area of right triangular base = ½ × 3.2 × 6 = 9.6 square yards
Volume = 96 × 2 = 19.2 cubic yards
Helpp I cant get the answer......Whats 6 divided by 2 ( 1 + 2)
Answers
Answer:
3
Step-by-step explanation:
Can you help A B C Or D image is here
Answers
Answer:
A
Step-by-step explanation:
Bean seeds from supplier A have 85% germination rate and those from supplier B have 75% germination rate. A seed-packing company purchases 40% of its seed from A, 60% from B, and mix them together. Find the probability that a seed selected at random from the mixed will germinate.
Answers
Answer:
0.79 = 79% probability that a seed selected at random from the mixed will germinate.
Step-by-step explanation:
Probability of a seed germinating:
85% of 40%(from company A)
75% of 60%(from company B)
Then
[tex]P = 0.85*0.4 + 0.75*0.6 = 0.79[/tex]
0.79 = 79% probability that a seed selected at random from the mixed will germinate.