Use the ordered pairs to give a function rule. Give the rule in slope intercept form {(-12,1.5)(-1,-1.25),(5,-2.75),(8,-3.5)}
Answer:
[tex]y = -0.25x -1.5[/tex]
Step-by-step explanation:
Given
[tex](x,y) = \{(-12,1.5)(-1,-1.25),(5,-2.75),(8,-3.5)\}[/tex]
Required
The function rule (in slope intercept)
First, we calculate the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{-1.25 -1.5}{-1 - -12}[/tex]
[tex]m = \frac{-2.75}{11}[/tex]
[tex]m = -\frac{2.75}{11}[/tex]
[tex]m = -0.25[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = -0.25(x - -12) + 1.5[/tex]
[tex]y = -0.25(x +12) + 1.5[/tex]
Open bracket
[tex]y = -0.25x -3 + 1.5[/tex]
[tex]y = -0.25x -1.5[/tex]
Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15}.
y = -2/3x + 7
Complete the table based on the given domain.
Answer:
hope it helps plz mark me brainliest!
Step-by-step explanation:
4x² - 3, x less than/equal to 0
Step-by-step explanation:
y = (-1/2)[(x+3)^½]
(x+3)^½ = -2y
Square both sides,
(x+3) = (-2y)²
x+3 = 4y²
x = 4y²-3
Interswitch x and y
Inverse is 4x²-3
Domain of inverse is the range of f.
The range of f is less than/equal to 0
Because at x = -3, f(x) = 0
For x > -3, f(x) is negative
Domain of inverse is x less than/equal to 0
Make y the subject of this formulae X=a-2by^2
Answer:
[tex]y = \sqrt{\frac{x- a}{2b}}[/tex]
Step-by-step explanation:
Step 1: Make y the subject of this formula
[tex]x- a = a - a - 2by^{2}[/tex]
[tex]\frac{x- a}{2b} = \frac{2by^{2}}{2b}[/tex]
[tex]\sqrt{\frac{x- a}{2b}} = \sqrt{y^{2}}[/tex]
[tex]\sqrt{\frac{x- a}{2b}} = y[/tex]
Answer: [tex]y = \sqrt{\frac{x- a}{2b}}[/tex]
Which expression gives the surface area of a sphere with radius 3x?
Answer:
=> 12πr²
Step-by-step explanation:
The Surface area of sphere is 4πr²
so the surface area of sphere with radius 3x will be
=> 4×3πr²
=> 12πr²
Show all work when answering the question for full credit. Do it as best as you can.
Solve the equation: 7(2x + 3) = 12x - 13
Answer:
x = -17
Step-by-step explanation:
7(2x + 3) = 12x - 13
Distribute
7*2x +7*3 = 12x-13
14x +21 = 12x-13
Subtract 12x from each side
14x-12x+21 = 12x-12x-13
2x+21 = -13
Subtract 21 from each side
2x+21-21 = -13-21
2x = -34
Divide by 2
2x/2 = -34/2
x = -17
Algebra 1 proportional relationships
Answer:
It always pass through the origin.(0,0)
Adjust the window so you can find all of the points of intersection for the system of equations.
What are the roots of the original polynomial equation? Check all that apply.
Answer:
-4, 3 and 6
Step-by-step explanation:
Given
See attachment for complete question
Required
The roots of the polynomial
We have:
[tex]y = x^3 + 72[/tex]
[tex]y = 5x^2 + 18x[/tex]
When the above functions are plotted, the x-coordinate of the point of intersection are: -4, 3 and 6
Hence, the roots are: -4, 3 and 6
Answer:
it is -4, 3, 6.
What number is 33% of 264?
Answer:
87.12
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
What single percentage change is equivalent to a 8% increase followed by a 13% decrease?
А
93.96% increase
B
3.96% decrease
С
6.04% decrease
D
3.96% increase
E
6.04% increase
F
93.96% decrease
Answer:
D: 6.04
Step-by-step explanation:
100*1.08 = 108
108*0.87 = 93.96
100-93.96 = 6.04
Step-by-step explanation:
look at the link below
it really helps!
Let V(x)=−x2+2x−4 and W(x)=−x3+2x2+x+5. Find V(x)−W(x).
Answer:
Step-by-step explanation:
v(x) - W(x) = x² + 2x - 4 - [x³ + 2x² + x + 5]
= x² + 2x - 4 - x³ - 2x² -x - 5
= x² - 2x² - x³ + 2x - x -4 - 5
= -x² - x³ + x - 9
Answer:
x³ - 3x² + x - 9
Step-by-step explanation:
V(x) - W(x) =
- x² + 2x - 4 - (- x³ + 2x² + x + 5) ← distribute parenthesis by - 1
= - x² + 2x - 4 + x³ - 2x² - x - 5 ← collect like terms
= x³ - 3x² + x - 9
Question 3
Find FS If BS =16 .
Answer:
FS = 48
Step-by-step explanation:
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, so
FB = 2 BS = 2 × 16 = 32
Then
FS = FB + BS = 32 + 16 = 48
Charlie wants to order lunch for his friends. He'll order 5 sandwiches and a $3
kid's meal for his little brother. Charlie has $28. How much can he spend on
each sandwich if they are all the same price?
Choosqtwo answers: one for the inequality that models this situation and
one for the correct answer,
A. Inequality: 5x+3 = 28
B. Answer: $7.66 or less
C. Inequality: 3x+ 5 <28
D. Answer: $5 or less
E, Inequality: 3x + 5 5 28
F, Inequality 5x + 3 5 28
Step-by-step explanation:
some of your answer options were not copied well in here.
so, I tell you the right information and how would sure it, and you need to pick the right option on your end :
the inequality is
5x + 3 <= 28
and based on that
5x <= 25
x <= 5
he can spend $5 or less on each sandwich.
Gloria forgot to account for two walkways. Using the work from Plan A,
subtract the two walkways to find the new perimeter. The width of each
walkways is x + ½ .
Show work here (put in simplest form)
Step-by-step explanation:
w
IF B=
3 4 8
4 2 1
find b12, b21, b22 and b23
Answer:
since b is 348421 and we are looking for b21 it is 348421(12)
The numbers on a certain combination lock start with 0 and go through 10. If a combination consists of 3 numbers, how many different lock combinations are possible?
1,331
30
1,000
Answer:
1331
Step-by-step explanation:
Point T is the centroid. Find TE if XE =21
Answer:
7
Step-by-step explanation:
Thing about centroids is they create segments that are spilt with one piece [tex]\frac{1}{3}[/tex] and the larger piece [tex]\frac{2}{3}[/tex] .
So, if the whole segment is 21, then the large piece is [tex]\frac{2}{3}[/tex] of 21. The small piece is [tex]\frac{1}{3}[/tex] of 21.
TE = 21 · [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{3}[/tex] = 7
A photographer needs a frame for an 5 x 7 inch picture, such that the total area is 80 in? Calculate the width of
the frame. Which of the following quadratic equations would be used when solving this?
4x^2 + 24x = 45
4x^2 + 12x = 45
2x^2 + 24 = 45
2x^2 + 12x = 45
Answer:
4·x² + 24·x = 45
Step-by-step explanation:
The total area of the frame and picture needed by the photographer = 80 in²
The size of the picture that will be in the frame = 5 × 7 inch
The length of the picture = 7 inches
The width of the picture = 5 inches
Let x represent the width of the frame, we get;
The width of the total area = The width of the picture + 2 × The width of the frame
Therefore, the width of the total area = 5 + 2·x
The length of the total area = The length of the picture + 2 × The width of the frame
Therefore, the length of the total area = 7 + 2·x
We get;
The total area = Total length × Total width
∴ The total area = (5 + 2·x) × (7 + 2·x)
We are given that the total area = 80, therefore, by transitive property of equality, we have;
(5 + 2·x) × (7 + 2·x) = 80
35 + 10·x + 14·x + 4·x² = 80
4·x² + 24·x = 80 - 35 = 45
∴ 4·x² + 24·x = 45
Therefore, the quadratic equation that can be used in solving for the width is 4·x² + 24·x = 45.
Answer:
The answer is 4x^2+24x=45
Step-by-step explanation:
I got it right on my test.
Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel’s savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin’s account, at the same time, is modeled by function k.
j(x) = 25 + 3x
k(x) = 15 + 2x
Which function correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year?
A.
(j − k)(x) = 40 + 5x
B.
(j − k)(x) = 40 + x
C.
(j − k)(x) = 10 + 5x
D.
(j − k)(x) = 10 + x
Given:
The amount of money in Joel’s account is:
[tex]j(x)=25+3x[/tex]
The amount of money in Kevin’s account is:
[tex]k(x)=15+2x[/tex]
To find:
The function that correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year.
Solution:
We need to find the difference between the function j(x) and function k(x).
[tex]j(x)-k(x)=(25+3x)-(15+2x)[/tex]
[tex](j-k)(x)=25+3x-15-2x[/tex]
[tex](j-k)(x)=(25-15)+(3x-2x)[/tex]
[tex](j-k)(x)=10+x[/tex]
Therefore, the correct option is D.
can anyone answer this please
Answer:
4
Step-by-step explanation:
x=3
x2 means 3 square (+3)
3×3+3
=9+3
12÷3
4
find the cost of four score of plate at 50k each and three dozens of spoon at 20k each
Solve 7n + 2 = 4n + 17.
Answer:
n=5
Step-by-step explanation:
7n+2=4n+17
Subtract 2 from both sides
7n=4n+15
Subtract 4n
3n=15
Divide by 3
n=5
I hope it helps!
Answer:
7n+2=4n+17
7n+2−2=4n+17−2
7n=4n+15
7n−4n=4n+15−4n
3n=15
3n/3=15/3
n=5
OAmalOHopeO
A farmer needs to cross the river with his fox, his chicken and a bag of corn. However, the boat can only fit the farmer and one other thing at a time. The problem is, the fox and the chicken are both hungry, so if he leaves the fox and chicken together, the fox might eat the chicken. If he leaves the chicken and corn together, the chicken might eat the corn. So how can the farmer get everyone across the river safely
first send the fox alone to the other side then send the corn, the fox wont eat the corn so that should be fine then lastly go with the farmer and the chicken, hope this helps!
find the value if x that will make A||B
Answer:
x=11
Step-by-step explanation:
The angles given are alternate exterior angles and alternate exterior angles are equal if the lines are parallel
5x+9 = 6x-2
Subtract 5x from each side
5x+9-5x = 6x-2-5x
9 = x-2
Add 2 to each side
9+2 =x-2+2
11=x
Now,
5x + 9 ( vertically opposite angle )
Then,
5x + 9 = 6x - 2 ( corresponding angle )
x = 11
I hope you understand...
Mark me as brainliest...♡♡
I cant seem to get the answer right, please help me!!!
Answer:
6pi=2pi(r)(120/360)
r=9
C=(pi)d
C=(pi)18
c=18pi
Step-by-step explanation:
Answer:
Step-by-step explanation:
The measurement of AC = 6pi
120/360 * pi * 2 * R = 6*pi The pi values cancel out.
1/3 * 2 * R = 6 Multiply by 3
2R = 18 Divide by 2
R = 9
the circumference = 2 * pi * R
C = 2 * pi *9
C = 18 * pi
Now you want the measurement of arc AB
120 = 6 * pi
30 = x
120/30 = 6pi/x Cross multiply
120 * x = 180 * pi Divide by 120
x = 180 pi / 120
x = 3/2 * pi
So the measurement of arc AB = 1.5 * pi
Givenl || m | n, find the value of x.
m
44°
n
Submit Answer
PLS HELP
Answer:
x=136
Step-by-step explanation:
PLEASE HELP
Find the indicated side of the
triangle.
b
7.
45°
a
a =
= [?]
Answer:
a =7
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side/ adj side
tan 45 = 7/a
a tan 45 = 7
a = 7/ tan 45
a = 7 / (1)
a = 7
Could the cross-section of a square be a triangle? Explain and draw a diagram to justify your answer.
Yes
Step-by-step explanation:
As u can see in the diagram labelled 1-4 u can see 4 triangles ,
What phrase describes an unknown or changeable quantity. A. 2 times the number of pages. B. 15 years of schooling. C. 60 seconds multiplied by 5. D. 3 dollars and 76 cents.
Answer:
A. 2 times the number of pages.
Step-by-step explanation:
We do not know the number of pages in A. 2 times the number of pages.
We know the number of years of schooling the number of seconds and the number of dollars and cents
B. 15 years of schooling. C. 60 seconds multiplied by 5. D. 3 dollars and 76 cents.
I need help I don't understand at all.
please mark this answer as brainlist
What is the domain of the function y=sqrt x+6-7
Answer:
[tex]x \geqslant 1[/tex]
Step-by-step explanation:
[tex] \sqrt{x + 6 - 7} = \sqrt{x - 1} \\ \\ x - 1 \geqslant 0 \\ x \geqslant 1[/tex]
