Answer:
4.00
Step-by-step explanation:
Given
x: 2 , 5 , 8 , 12
y: 8.50, 15.25, 22.00. 31.00
Required
Determine the y intercept
First, we calculate the slope:
[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (2,8,50)[/tex]
[tex](x_2,y_2) = (12,31.00)[/tex]
[tex]m = \frac{31.00 - 8.50}{12 - 2}[/tex]
[tex]m = \frac{22.5}{10}[/tex]
[tex]m = 2.25[/tex]
Next, we calculate the equation:
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (2,8,50)[/tex]
[tex]m = 2.25[/tex]
The equation becomes:
[tex]y - 8.50 = 2.25(x - 2)[/tex]
[tex]y - 8.50 = 2.25x -4.5[/tex]
Make y the subject
[tex]y = 2.25x -4.5+8.50[/tex]
[tex]y = 2.25x +4[/tex]
Take [tex]x =0[/tex]; to get the y intercept
[tex]y = 2.25*0 +4[/tex]
[tex]y = 4[/tex]
Hence, the y intercept is 4.00
Answer:
The answer is B
Step-by-step explanation:
Use the distributive property to remove the parentheses. Thankyou!
2(v - 5)
3(u - 2)
7(3 + v)
Answer:
1) 2v-10
2) 3u-6
3) 21 + 7v
Step-by-step explanation:
Using the distibutive property all you have to do is have the number on the of the parenthesis multiply itself to each component in your parenthesis.
building and reduce
1/2 = / 10
Answer: 5/10
Explanation: Compare the denominators. Since 2 ⋅ 5 = 10, multiply the numerator 1 by 5 to get 5.
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
Answer:
[tex]\displaystyle m=2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph
Point (3, 0)
Point (4, 2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{2-0}{4-3}[/tex]Subtract: [tex]\displaystyle m=\frac{2}{1}[/tex]Divide: [tex]\displaystyle m=2[/tex]When you multiply a function by –1, what is the effect on its graph?
A.
The graph flips over the y-axis.
B.
The graph flips over the line y = x.
C.
The graph flips over the x-axis.
Answer: C) The graph flips over the x axis.
This is because we're multiplying the y outputs by -1, to make them flip in sign from positive to negative (or vice versa).
Let's say the point (1,2) is on the f(x) curve. Multiplying y = f(x) by -1 will make the point turn into (1,-2). Apply this logic to every point on the f(x) curve and we end up with f(x) reflected over the horizontal x axis.
The notation we could write is either g(x) = -1*f(x) or g(x) = -f(x).
By talking to the sales clerk at the hardware store, you find out that the burglar has two hideouts — the lake house and the cabin. Given the coordinate plane below, calculate the distances between the store and each hideout. Which hideout is closest to the store?
Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
Answer:
x- intercept is -2
y-intercept is 3
Step-by-step explanation:
x - intercept is x = -2
y intercept is y = 3
This is dealing with x and y intercepts of straight line graphs.
In straight line graphs, the y - intercept is simply the point where the line touches the y - axis while the x-intercept is the point where the line touches the x-axis.
From the graph given, the line touches the y-axis at y = 3 while it touches the x-axis at x = - 2
Thus;
x - intercept is x = -2
y intercept is y = 3
Read more at; brainly.com/question/4853862
Mei invests $1,924 in a retirement account with a fixed annual interest rate of 3% compounded continuously. What will the account balance be after 19 years?
Answer:
mei invests $1,924 in a retirement account with a fixed annual interest rate of 3% compounded continuously. what will the account balance be after 19 years?
When I multiply two variables, what operation do I use for the exponents to combine them?
Answer:
Multiplying exponents with the same base
When you multiply two variables or numbers that have the same base, you simply add the exponents.
Step-by-step explanation:
find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))
Answer:
1= 38
2= 90
3 =2 = 90
4= 1 = 38
for explanation check your own previous question
its the same thing
Answer:
see explanation
Step-by-step explanation:
• The diagonals bisect each other at right angles, then
∠ 2 = ∠ 3 = 90°
∠ 1 = 180° - (90 + 52)° ← angle sum of a triangle
∠ 1 = 180° - 142° = 38°
• Diagonals bisect the endpoints, then
angle at vertex with ∠ 1 = 76° and
angle at vertex with ∠ 4 = 76°, thus
∠ 1 = ∠ 4 = 38°
In conclusion
∠ 1 = 38°, ∠ 2 = 90°, ∠ 3 = 90°, ∠ 4 = 38°
Describe how the graph of y= x2 can be transformed to the graph of the given equation. (2 points)
y = x2 - 20
Shift the graph of y = x2 left 20 units.
Shift the graph of y = x2 up 20 units.
Shift the graph of y = x2 down 20 units.
Shift the graph of y = x2 right 20 units.
Answer:
Equation : y = x2 - 20
Intercepts
when y is zero (0), x is 10
when x is zero (0), y is -20
Therefore, shift the graph, y=2x down to the negative y-axis 20 units
ALTERNATIVELY: Shift the graph to the right of positive x-axis 10 units.
Please help with this thanks lol
Answer:
-70
Step-by-step explanation:
multiply each sides with (7/4)
(7/4)* 40 = (x/(-4/7)) * (7/4)
(7/4) *40 = -x
70= -x
x= -70
Find the slope of the line.
3
D
1
ok
-4
5
-6
.
.9
-10
121
.
0
5
6
7
9 10
The slope is -3
I
Answer:
-1Step-by-step explanation:
slope=[tex] \frac{change \: in \: y}{change \: in \: x} [/tex][tex] \frac{ - 1}{1} [/tex][tex] = - 1[/tex]
HELP ASAP PLEASE ‼️‼️‼️‼️‼️‼️‼️‼️‼️
If AABC = ADEC,
ZB = 40° and ZE = 2x + 4
A
B
С
x= [?]
Answer:
x=18
Step-by-step explanation:
‹B=‹E
40°=2x+4
40-4=2x
36=2x
x=18
3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.
What is m∠SRW?
18
54
126
108
Answer:
m∠SRW = [tex]126^{o}[/tex]
Step-by-step explanation:
Given: <VRW = 3x
<TRS = (2x + 18)
What is m∠SRW?
<TRS = <VRW (vertically opposite angles)
2x + 18 = 3x
18 = 3x - 2x
x = 18
<VRW = 3x = 3 x 18 = [tex]54^{o}[/tex]
<TRS = (2x + 18) = 92 x 18 + 18)
= [tex]54^{o}[/tex]
Also,
<TRV = <SRW (vertically opposite angles)
So that,
<TRU + <URV = <SRW
But,
<TRV + <SRW + <TRS + <VRW = [tex]360^{o}[/tex]
<TRV + <SRW + [tex]54^{o}[/tex] + [tex]54^{o}[/tex] = [tex]360^{o}[/tex]
<TRV + <SRW + [tex]108^{o}[/tex] = [tex]360^{o}[/tex]
<TRV + <SRW = [tex]360^{o}[/tex] - [tex]108^{o}[/tex]
<TRV + <SRW = [tex]252^{o}[/tex]
2 <SRW = [tex]252^{o}[/tex] (∵ <TRV = <SRW)
<SRW = [tex]\frac{252}{2}[/tex]
= [tex]126^{o}[/tex]
Therefore,
m<SRW = [tex]126^{o}[/tex]
Answer:
short answer its 126 so C.
Step-by-step explanation:
THIS IS FOR FUTURE PPL ON EDGE 2022!! JUST HAD IT
Given that cosA = -8/17 and sinA is negative, determine the value of tanA.
Answer:
tan A = -15/8.
Step-by-step explanation:
sin^2a = 1 - cos^2A
= 1 - (-8/17)^2
= 225/289
So sin A= 15/17
tan A = sin A / cos A
= 15/17 / -8/17
= 15/-8
= -15/8.
13. Describe the number of solutions for the equation. (1 point)
3(x – 3) = 3x
O one solution
O no solution
O infinite solutions
What one
Answer:
no solution
Step-by-step explanation:
Given
3(x - 3) = 3x , that is
3x - 9 = 3x ( add 9 to both sides )
3x = 3x + 9 ( subtract 3x from both sides )
0 = 9 ← not possible
This indicates the equation has no solution
Which function will not have an
x-intercept?
a) y = -2X
b) y = x
c) x = 2
d) y = 5
Answer:
(d)
because there is only y value, hence no point on x-axis therefore no x-intercept
please help me with this review. its for extra credit and i really need the extra credit. please leave explination with the correct work!!! even if i you only do 1 question you would still be helping me!
Answer:
First ones D I’m pretty sure
Step-by-step explanation:
I’ll give brainlist, but plsss help
Answer:
X= -8
Step-by-step explanation:
First you distribute the 5 to the parenthesis to get 5x-30+4=7x-10. Then subtract 14 on both sides to get 5x-16=7x. Next, subtract 5x from both sides to get -16=2x. Now you divide by 2 on both sides to get -8=x.
Answer: x = - 8
Step-by-step explanation:
The first step in applying the distributive property:
5 (x - 6) + 4 = 7x - 10
5x - 30 + 4 = 7x - 10
The second step is to combine like terms by subtracting 10 from -30, and subtracting 4 from - 20:
5x - 30 + 4 = 7x - 10
5x - 16 = 7x
The third step is to subtract 5x from 7x:
5x - 16 = 7x
- 16 = 2x
The last step is to divide each side by 2 to isolate the variable, or find x:
- 16/2 = 2x/2
- 8 = x
or x = - 8
I hope I helped and have a great day! ^-^
For each equation, find a value x that makes the equation true.
(PLLLLLZZZ help me)
1 x( divided) by 3=12
2 2x+3=20
3 4/3x=10/3
4 -4x=-24
5 2(x-4)=10
6 -0.5x+1.1+2.9
Please hurry, I'll give brainly
Step-by-step explanation:
there should 90 value
the value of triangle is 90
Answer:
area = 8.03
Step-by-step explanation:
[tex]area= \frac{ab\sin\C}{2}[/tex]
Solve the system of equations algebraically.
GOF
4x + 5y = 15
- 4x + by = 7
a. (5/4, 2)
B. (2, 5/4)
C. (4/5, 2)
D. (2, 4/5)
Graph the solution to the following inequality on the number line.
x^2 +10x >or equal to-24
Answer:
x≤−6 or x≥−4
Step-by-step explanation:
We need to graph the inequality [tex]x^2+10x\ge -24[/tex]
We can find the solution of the graph as follows :
[tex]x^2+10x+24\ge 0\\\\x^2+6x+4x+24\ge 0\\\\x(x+6)+4(x+6)\ge 0\\\\(x+4)(x+6)\ge 0\\\\x\le -6\ \text{and}\ x\ge -4[/tex]
The attached figure shows the graph for the given inequality.
HURRY PLSS
Which values are in the solution set of the compound inequality -8 <3x +7s 10? Select three options.
O-15
O-5
O-3
O1
Step-by-step explanation:
-8 < 3x + 7 <= 10
-15 < 3x <= 3 (subtract 7)
-5 < x <= 1 (divide by 3)
Hence the correct options are -3, 0 and 1.
Someone help me with this question please! I'm having a hard time answering it!
Step-by-step explanation:
2 * 2 for potatoes = £4
3 * 3 for carrots = £9
90p * 3 for turnips = 270p = £2.70
total price = 9+4+2.70=15.70
change = 20 - 15.70 = £4.30
there are 36 students in a PE class. 1/4 of the student can run 1 mile. how many students can run 1 mile?
Answer:
9
Step-by-step explanation:
U would have to divide 36 1/4 it would = 9
Two people decided to race. One of the cars is 10 meters north of the start line 5 seconds into the race. After 15 seconds, the car is 25 meters north of the start line. Calculate the average velocity of the car.
Answer:
The average velocity of the car is 1.5 m/s
Step-by-step explanation:
The given parameters are;
The displacement of one of the cars north of the start after 5 seconds = 10 meters
The displacement of the car north of the start after 15 seconds = 25 meters
The average velocity of the cars [tex]\overline v[/tex] is given as follows;
[tex]\overline v = \dfrac{\Delta x}{\Delta t}[/tex]
Where;
Δx = The change in the displacement of the car = 25 m - 10 m = 15 m
Δt = The corresponding amount of the change in time 15 s - 5 s = 10 s
By substituting the known values of Δx and Δt in the equation for the average velocity of the car, [tex]\overline v[/tex], we have;
[tex]\overline v = \dfrac{15 \ m}{10 \ s} = 1.5 \ m/s[/tex]
∴ The average velocity of the car, [tex]\overline v[/tex] = 1.5 m/s
Help asap please!! I will mark you as brainliest :)
Answer:
12Step-by-step explanation:
The answer is 12 because is you subtract 2 by 12 then you get 10.
Here's why that's correct.
[tex]\frac{5}{2}[/tex] [tex]or[/tex] [tex]2.5[/tex] is equal to [tex]\frac{10}{4}[/tex] which is also [tex]2.5[/tex]
This is correct because if you multiply both the numerator and the denominator by 2, you get [tex]\frac{10}{4}[/tex] because if you multiply 5 times 2, that equals 10. Then if you multiply 2 times 2, you get 4, which eventually makes 10 over 4, or [tex]\frac{10}{4}[/tex].
Hope this helps! <3
Which number is a solution of the inequality?
8 < x (7-x)
2
8
-1
0
PLEASE HELP!!
Answer: The answer is 8
Step-by-step explanation:
PLEASE HELP ASAP!!!!
Q1: What signals you that factoring by grouping is the best method to use when factoring a
problem? How would you know if it is factorable or prime?
Answer:
You know a number is not factorable or prime if nothing multiplies to it.
Step-by-step explanation:
For example there are no numbers that multiple to 7, same with 19. No 2 numbers will ever be able to = to 7 or 19 for example.
Hope this helps!!!
Answer:
prime numbers would be 2,4,6,8,10,12, and etc.....
Step-by-step explanation:
factorable means say we have the number 32 it factors down to 16 then 16 factors down into 8 then 8 goes down into 4 then 4 goes dow into 2
hope this helps