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]
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:
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
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.
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.
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
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
Help me out please!!!!
Answer:
the line starts on (0,3) then you go down 7 points then you go 3 to the right that's thew answer
Step-by-step explanation:
Answer: the y axis is 3 and the x axis is 1
Step-by-step explanation:
1. Find the simple interest on a $3,219.00 principal, deposited for six years at a rate of 1.51%.
a. $291.64
b. $26,164.14
c. $2,916.41
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
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!
~AnonymousHelper1807$4 per pound to cents per ounce
Step-by-step explanation:
4$ is equal to 400 cents, so it would be 400 cents a pound, for every 1 dollar it is the same as 100 cents
Answer:
400
Step-by-step explanation:
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°
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?
What does the rest of the world refer the French and Indian War as?
Answer:
The Seven Years’ War (1756-1763) was a global conflict that spanned five continents, though it was known in America as the “French and Indian War.” After years of skirmishes between England and France in North America, England officially declared war on France in 1756, setting off what Winston Churchill later called “the first world war.” While the French, British, and Spanish battled over colonies in the New World, Frederick the Great of Prussia faced off against Austria, France, Russia and Sweden. The Seven Year’s War ended with two treaties.
Step-by-step explanation:
Select 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
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
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
Which math operation determines the following pattern?
1,4, 16, 64, ..?
Answer:
Multiplication, as you are multiplying each term by 4:
1*4 =4
4*4 = 16
16*4 = 64
Then, you can calculate the next term: 64*4= 256
Answer:
The given pattern can be obtained by a 'multiplication' operation.
Thus, option (C) is correct.
Step-by-step explanation:
Given the pattern
1, 4, 16, 64, ..
From the given pattern, it is clear that every next term can be obtained by multiplying the previous term by 4.
For example, the 2nd term 4 can be obtained by multiplying the previous term by 4.
i.e. 1×4 = 4Similarly, the 3rd term 16 can be obtained by multiplying the previous term (2nd term) by 4.
i.e. 4×4 = 16Also, the 4th term 64 can be obtained by multiplying the previous term (3rd term) by 4.
i.e. 16×4 = 64In a nutshell, the next term (5th term) can be obtained by multiplying the previous term (4th term) by 4.
i.e. 64×4=256This indicates that the following pattern can be obtained by a 'multiplication' operation.
Thus, option (C) is correct.
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'
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
–81 ≥ –6 – n Please help
Answer:
n ≥ 75
Step-by-step explanation:
-81 ≥ -6 -n
+6 +6
-75 ≥ -n
divide both sides by negative 1 to get rid of the negative sign in front of the n
75 ≥ n
flip the sign because you divided by a negative
75 ≤ n
or
n ≥ 75
Hope this helps!!!
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:
Is -4 a real number? Is -4 a whole number?
Answer:
-4 is a real number, but not a whole number.
All non zero numbers are real.
All numbers without a decimal, fraction, or negative are whole numbers.
Step-by-step explanation:
Answer:
Yes -4 is a real number. No, -4 is not a whole number.
Step-by-step explanation:
Real numbers include all positive and negative numbers. A whole number is any number that does not contain a fraction, decimal, or negative value.
Explain how to find vertical and horizontal asymptotes of a rational
equation.
Answer:
Step-by-step explanation: If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).
If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.
find the slope of the line through each pair of points ( 3, 11) , (3, -10)
Answer:
undefined
Step-by-step explanation:
Since it is a vertical line and there is no run only rise.
(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
serious answers only pls
Answer:
Add all the functions of f to get the final answer ie option2
Answer: the second one 7k3+9k2-15k+10
Step-by-step explanation: I hope i help with your answer but it Kinda hard
25+14 please answer this
Answer:
39
Step-by-step explanation:
Step-by-step explanation:
[tex]39 \: is \: the \: answer[/tex]