Answer:
2x=8
x=8/2
x=4
2x=4
x=4/2
x=2
Find the equation of the linear function represented by the table below in slope-intercept form.
x y
-2 -9
1 3
4 15
7 27
Answer:
[tex]y = 4x-1[/tex]
Step-by-step explanation:
Required:
Determine the equation of the linear function
First, we need to determine the slope (m) as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (-2,-9)[/tex]
[tex](x_2,y_2) = (4,15)[/tex]
Substitute these values in [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{15- (-9)}{4 - (-2)}[/tex]
[tex]m = \frac{24}{6}[/tex]
[tex]m =4[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y -(-9) = 4(x - (-2))[/tex]
[tex]y + 9 = 4(x + 2)[/tex]
[tex]y + 9 = 4x + 8[/tex]
Make y the subject
[tex]y = 4x + 8 - 9[/tex]
[tex]y = 4x-1[/tex]
What is the properties used for Blank 1 and 2?
Symmetric Property
Substitution Property
Addition Property
Reflexive Property
Division Property
Answer:
Symmetric Property
Step-by-step explanation:
HELP ME AS SOON AS POSSIBLE!!! HURRY BEFORE SOMEBODY ELSE ANSWERS!
Sam is playing with his slingshot and launches a rock straight up in the air with an initial upward velocity of 120 ft/sec. Gravity slows the rock’s upward velocity and it eventually changes directions and falls back down to the ground. The height of the rock is defined using the function h(t) = -16t2 + 120t. What is a reasonable value of the domain, t?
a.) 5 seconds
b.) 1 seconds
c.) 90 seconds
d.) -4 seconds
Plz help ASAP!
9514 1404 393
Answer:
a) 5 seconds
Step-by-step explanation:
Usually in such scenarios, we're interested in position and time where h(t) ≥ 0. For the given equation, that is 0 ≤ t ≤ 7.5. Values of t that are negative, and values of t that give h(t) a negative value are generally not of interest.
Then, the choice between a domain of [0, 1] and one of [0, 5] will depend on the reason for using the equation. We expect that the longer of these two domains is likely to be more reasonable:
5 seconds
Answer:
a.) 5 seconds
Step-by-step explanation:
are the triangle congruent? why or why not
Answer:
u forgot to add a pic
Step-by-step explanation:
:)
The sum of the measures of the interior angles of a convex polygon is 1620°.
Classify the polygon by the number of sides.
Answer: 72
Correct answer to the question: what is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures
'ω'
Miss Chandler bought a 25lb bag of dog food for $17.50. How much did it cost her per pound?
Answer:
Step-by-step explanation:
0.7
Answer:
70 cents per pound
Step-by-step explanation:
17.50 ÷ 25 = .70
.70 × 25 = 17.50
What is the domain of the given relation?
{(1, 3), (0, 4), (2, 1);
А
{1,3,4}
B
{0, 1, 3}
с
{1, 2,4
D
{0, 1, 2}
Answer:
[tex]\{0,1,2\}[/tex]
Step-by-step explanation:
Given:
[tex]\{(1, 3), (0, 4), (2, 1)\}[/tex]
Required
Determine the domain
A relation is represented as: [tex]\{(x_1, y_1), (x_2, y_2), (x_3, y_3).....(x_n,y_n)\}[/tex]
Where:
[tex]\{x_1,x_2,x_3.....x_n\}[/tex] are the domain of the relation
So, by comparison:
[tex]\{1,0,2\}[/tex] or [tex]\{0,1,2\}[/tex] represents the domain
What is the order for this?
need help ASAP
thanks
Answer:
Crust, mantle, outer core, inner core
Step-by-step explanation:
In a collection of dimes and nickels, the number of dimes is five less than three times the number of nickels. The value of the collection is $5.80.Let D represent the number of dimes and N represent the number of nickels. You need to know how many of each type of coin there is. Make "LET" statements and write a system of equations to model this situation. Check your answers.
Answer:
D= 3N-5
0.10D+0.05N=5.80
Step-by-step explanation:
So, Let D represents the number of dimes
N represents the number of nickels.
For the given statement "The number of dimes is 5 less than 3 times the N"
So, we could set up equation as
D=3N-5
Now, for the statement "The value of collection is $5.80"
So, we can set up equation for this as (please remember 1 dime is same as $0.10 and 1 nickel is same as $0.05)
0.10D+0.05N=5.80
a car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one day rental?
Answer: 34+ 0.50= 34.5. And 20 + 0.75=20.75. So they are not equal
Step-by-step explanation: I used a calculator
Chase read a total of 6 books over 2 months. After belonging to the book club for 4 months, how many books will Chase have read in all? Assume the relationship is directly proportional.
? books
Answer:
12
Step-by-step explanation:
Taki and Connor invest $20 in drink mix, sugar, and paper cups for a lemonade stand. after 5 hours they have made $50 in profits. assume that they sell the drinks at the same rate all day. write an equation for their profit for the day from the lemonade stand. if their stand continues to sell from 1:00 P.M. to 8:00 p.m. that day, what is their profit for the day?
Margaret has $200 in her savings account. She will save $50 more dollars each week and not take any money out of the account. Which table represents this situation?
HELP PLEASE!
While playing mini golf, you hit the ball off of a wall to attempt at making it in the hole. The ball is located at (5,4) and the hole is located at (9,8). The point where the ball hits the wall is (7,0). Write an equation for the path of the ball and then determine if you will make your putt.
Answer:
Step 1:
Hit=9,8
Ball=5,4
R=7,0(This will be the hit point)
Step 2:
(Ball)B'=7+(7-5)4=(9,4)
BR: y-4=(0-4)/(7-5)(x-5)→→→→→→→→→→→→y=-2x+14
RB': y-4=(4-0)/(9-7)(x-9)→→→→→→→→→→→→y=2x-14
The ball will not fell into the hole by it's path.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
We will bet an absolute graph here of the path of the ball.
Starting point is where the ball is located is (5, 4).
The ball hits the wall at (7, 0)
Let's find the equation of the line through these points.
It is of the form y mx + c, where m is slope and c is y intercept .
m = (0 - 4) / (7 - 5) = -2
⇒ y = -2x + c
Substitute (7, 0) in the above equation,
0 = (-2 × 7) + c
⇒ c = 14
The equation of the line is y = -2x + 14.
Since the graph is absolute, the return path of the ball from the wall must have same slope with opposite sign since the line is upwards.
Equation of the line is of the form,
y = 2x + d
Substitute (7, 0) in the above equation,
0 = (2 × 7) + d
⇒d = -14
Equation is y = 2x - 14
Substitute (9, 8) in the equation to check whether the ball will make the putt.
2x - 14 = (2 × 9) - 14 = 18 - 14 = 4 ≠ 8
Hence the ball does not fall into the hole.
To learn more about Slope, click on the link :
https://brainly.com/question/3605446
#SPJ2
find the solutions for the quadratic equation by completing the square x^2+18x+63
Answer:
x=−9±3√2
Step-by-step explanation:
A candy maker is mixing up some sugar syrup for use in making sweets. How much of 30% sugar syrup should she add to 12 liters of 20% sugar syrup to obtain a mixture that contains 26% sugar? Write your answer as a whole number or as a decimal rounded to the nearest tenth.
Answer:
She should add 18 liters of 30% sugar syrup
Step-by-step explanation:
Let the amount of sugar syrup be x
Mathematically;
30% of x liters + 20% of 12 liters = 26% of (x + 12)
So, we have
0.3x + 2.4 = 0.26x + 3.12
0.3x-0.26x = 3.12-2.4
0.04x = 0.72
x = 0.72/0.04
x = 18
4. What is the relationship between the following pair of
angles?
A. Linear Pair
B. Vertical Angles
C. Adjacent Angles
D. Complementary
Answer:
Adjacent Angles
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf Adjacent \ Angles}[/tex]
Step-by-step explanation:
Both the angles are sharing a common leg, so they are adjacent angles.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Select all of the expressions that represent the area, in cm2, of the shaded portion:
A 7w+6
B 7w−42
C 7(w−6)
D 6(w+7)
E 2(w−6) + 14
Find the value of x
66°
6x
Answer:
x=11
Step-by-step explanation:
because those angles are = to eachother. Therefore, 66=6x which x =11
Solve problem in photo 8th math
Answer:
I did this test it Is b
Step-by-step explanation:
Answer:
The answer is B 16
Step-by-step explanation:
The square root of it is 15.9059737206 but if you round it the closest answe is B.
Jess earns 5% cash back at restaurants. If she spent $213 at restaurants
this month, how much cash back will she receive?
Answer: Jess will get $10.65
Josh borrowed $50,000 from the bank to buy a new truck. The bank is going to charge him an interest rate of 6.9%. If his loan lasts 39 months, choose the correct equation to determine Josh's simple interest.
Answer:
The simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100
Step-by-step explanation:
The formula for calculating simple interest is expressed as;
SI = Principal * rate * time/100
SI = 50,000 * 6.9*39/100*12
SI = 500*6.9*39/12
SI = 134,550/12
SI = 11,212.5
Hence the simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100
P is the amount borrowed
R is the interest rate
T is the time in years
(4 - n) +2( -5n + 3)
Answer:
-2-11n or 10-11n
Step-by-step explanation:
4-n+-10n-6= -2-11n
Hope this helps If this is wrong then this should be the other one only if the top is wrong!!
4-n+-10n+6=10-11n
How many solutions does 1.25x+4=1.00x+6 have
Answer:
One solution which is 8
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Patrick starts hiking at an elevation of -418 feet. He ascends to an elevation of 387 feet and then descends to an elevation 94 feet higher than where he began. He descends 132 feet. What is the elevation of where he stops hiking?. Single line text.
Solve x for me please I need it!!!
Answer:
The angle x° = 34°
Step-by-step explanation:
Given the right-angled triangle
right angle = 90° Given the angle = 56°We know that the sum of angles of a triangle = 180°
so
90° + 56° + x° = 180°
x° = 180°- 90° - 56°
x° = 34°
Therefore, the angle x° = 34°
Ifa line segment has a length of 12 units and after a dilation the image
length is 4 units, what was the scale factor?
A. 1/3
B. 3
C. 8
================================================
Work Shown:
x = preimage length = 12
y = image length = 4
z = scale factor
z = y/x
z = 4/12
z = (1*4)/(3*4)
z = 1/3
The scale factor is 1/3.
This means the image is 1/3 of the length of the preimage.
∠A and \angle B∠B are complementary angles. If m\angle A=(3x+9)^{\circ}∠A=(3x+9)
∘
and m\angle B=(x-11)^{\circ}∠B=(x−11)
∘
, then find the measure of \angle A∠A.
Answer: 78*
Step-by-step explanation: Look at pic
Between them Molly and Sue have 32 marbles. Molly has 3 times as many as Sue. How many marbles does each girl have?
Answer:
Sue has 8 marbles
Molly has 8 marbles
Step-by-step explanation:
m = number of marbles Molly has
s = number of marbles that sue has
m+s =32
m = 3s
Substitute the second equation into the first equation
3s+s =32
4s = 32
Divide by 4
4s/4 =32/4
s = 8
Sue has 8 marbles
m = 32 = 3*8 = 24
Molly has 8 marbles
find the slope of the line through each pair of points ( 3, 11) , (3, -10)
Answer:
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Step-by-step explanation:
Since it is a vertical line and there is no run only rise.