What is the equation of the graphed line written in
standard form?
Ox-4y = 4
Ox+4y = 4
(4,0)
Oy-x-1
Oy-1
45
o,-1)
Answers
Answer:
the third option is the answer, y= 1/4x-1
Step-by-step explanation:
graph line in standard form:
[tex]y = mx + c[/tex]
where m = slope and c = y-intercept
1) find the slope
slope formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
use the two coordinates given in the graph
i/ (0,-1)
x1 = 0
y1 = -1
ii/ (4,0)
x2 = 4
y2 = 0
substitute the values into the formula
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{0 - ( - 1)}{4 - 0} [/tex]
[tex] \frac{1}{4} [/tex]
thus, m = 1/4
2) find the y-intercept
* y-intercept is the value of y that cuts through the y-axis
based on the graph, the y-intercept is -1
thus, c = -1
3) substitute the value of m and c into the standard form formula
[tex]y = mx + c[/tex]
[tex]y = \frac{1}{4} x - 1[/tex]
Related Questions
We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance of the object from the ground. Exactly seconds after we threw the object, it’s height, (measured in feet) is
ℎ= -16^2 + 256 + 1680
a.) Find ℎ when = 3.
b.) How much does the object travel during the two seconds between 5 seconds and 7 seconds?
c.) How long does it take for the object to reach a height of 2640 ft?
d.) How long does it take for the object to hit the ground?
Answers
Answer:
a) The height of the small object 3 seconds after being launched is 2304 feet.
b) The small object ascends 128 feet between 5 seconds and 7 seconds.
c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) The object will take 21 seconds to hit the ground.
Step-by-step explanation:
The correct formula for the height of the small object is:
[tex]h(t) = -16\cdot t^{2}+256\cdot t+1680[/tex] (1)
Where:
[tex]h[/tex] - Height above the ground, measured in feet.
[tex]t[/tex] - Time, measured in seconds.
a) The height of the small object at given time is found by evaluating the function:
[tex]h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680[/tex]
[tex]h(3\,s) = 2304\,ft[/tex]
The height of the small object 3 seconds after being launched is 2304 feet.
b) First, we evaluate the function at [tex]t = 5\,s[/tex] and [tex]t = 7\,s[/tex]:
[tex]h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680[/tex]
[tex]h(5\,s) = 2560\,s[/tex]
[tex]h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680[/tex]
[tex]h(7\,s) = 2688\,s[/tex]
We notice that the small object ascends in the given interval.
[tex]\Delta h = h(7\,s)-h(5\,s)[/tex]
[tex]\Delta h = 128\,ft[/tex]
The small object ascends 128 feet between 5 seconds and 7 seconds.
c) If we know that [tex]h = 2640\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t-960=0[/tex] (2)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 10\,s[/tex] and [tex]t_{2}= 6\,s[/tex]
The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) If we know that [tex]h = 0\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t +1680 = 0[/tex] (3)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 21\,s[/tex] and [tex]t_{2} = -5\,s[/tex]
Just the first root offers a solution that is physically reasonable.
The object will take 21 seconds to hit the ground.
Answer the link at the bottom plz
Answers
Answer:
2/3
Step-by-step explanation:
24students - 8 boys = 16 girls
16/24
2/3
Answer:
[tex]\frac{16}{24}=\frac{2}{3}[/tex]
also
[tex]\frac{8}{24} =\frac{1}{3}[/tex]
Step-by-step explanation:
the radius of the base of a right cylinder is 12 cm and the height and the height of the cylinder is 18 cm. in terms of pi what is the volume of the cylinder.
Answers
Answer:
Step-by-step explanation:r=12cm,h=18cm,v=?
Vol. Of a cylinder=Πr²h
V= Π×12²×18
V= Π×144×18
V=2592Πcm³
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
Answers
This question is incomplete
Complete Question
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
a) Positive, + 750
b) Positive , - 750
c) Negative , +750
d) Negative , - 750
Answer:
d) Negative , - 750
Step-by-step explanation:
We are told in the question that the contestant has 9000 points
Then he loses 750 points.
This means that the 750 points would be deducted from the 9000 points he the contestant has already.
The word lose is a negative and it carries the Subtraction (-) sign,
hence, lose suggests a negative integer which is given as:
-750
Option d is the correct option
The variables x an y vary directly. When x=13, y=52. Which equation correctly relates x and y?
Answers
Answer:
The equation which correctly relates x and y is y = 4x
Step-by-step explanation:
The equation of the direct variation is y = k x, where
k is the constant of variationTo find the value of k, use the initial values of x and y∵ The variables x and y vary directly
→ Use the form of the equation above
∴ y = k x
∵ When x = 13, y = 52
→ That means the initial values of x and y are 13 and 52
∴ x = 13 and y = 52
→ Substitute them in the equation above to find k
∵ 52 = k (13)
∴ 52 = 13k
→ Divide both sides by 13
∴ 4 = k
∴ The value of k is 4
→ Substitute it in the equation
∴ y = 4x
∴ The equation which correctly relates x and y is y = 4x
Find the value of 3w-1 given that - 2w+8= 6.
Simplify your answer as much as possible.
Answers
Answer:
-4
Step-by-step explanation:
Given 2w + 8 = 6, find w
2w = -2w = -1found w = -1, sub it into 3w - 1
3w - 1 = 3(-1) -1-3 - 1= -4Jesus is looking for a new gym Fitness Connection costs $6 to join with a monthly fee of $14. Fitness World costs $10 to join with a monthly of \$12 . Which oquation and solution represent the number of months will take for both gymo to cost the same?
Answers
jesus do be gettin buff doe
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
y = 112 +4
y = 4.3 +11
y = 4x + 5
y = 4x + 8
Answers
plz help...........
Answers
Answer:
1 is one of them
Step-by-step explanation:
6 + 18r = 20r - 18 - 4r
Answers
Answer:
r = -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
6 + 18r = 20r - 18 - 4r
Step 2: Solve for r
Combine like terms: 18r + 6 = 16r - 18Subtract 16r on both sides: 2r + 6 = -18Isolate r term: 2r = -24Isolate r: r = -126+18r=18r-18
-6. -6
18r=18r-24
-18r. -18r
R=-24
Which expressions are equivalent to (5g+3h+4)•2?
Answers
Answer:
nc
Step-by-step explanation:
nc
In the diagram above, mZABC = (3x-1), mZCBD = (2x)°, and mZDBE = (4x + 1)º. Find mZABC, mZCBD, and
mZDBE. Assume that ZABE is a straight angle.
A. ZABC = 290, mZCBD = 20°, and mZDBE = 1319
B. ZABC = 59°, mZCBD = 20°, and mZDBE = 101°
C. m ABC = 59, mZCBD = 40°, and MZDBE = 81°
Dm ABC = 61º, mZCBD = 390, and mDBE = 80°
Answers
Step-by-step explanation:
3x -1 +2x + 4 x +1 = 180
9x = 180
X= 20
<ABC = 59
< CB D = 40
< DBE = 81
Question in picture solve
Answers
Answer:
Bike 1
Step-by-step explanation:
If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.
If the ratio of ducklings to mama ducks is 7 to 1 how many ducklings would there be if there were 5 mama ducks? Use a table to solve using ratios!
Help me quickly
Answers
for every one mom duck there’s 7 babies
so therefore if you had 5 momma ducks you would have 35 ducklings
hope this helps!
Answer:
There would be 35 ducklings
Step-by-step explanation:
If the ratio to baby ducklings to mama ducks is 7 to 1 then the constant of proportionality is 7. So you take the amount of mama ducks and multiply that by 7 you get your answer.
7 x 5 = 35
Find the value for x for which r ll s. Then find m<1 and m<2. m<1 = (60-2x)to the zero power m<2 = (71 - 3x)to the zero power. The value for x for which r || s is ?
Answers
Please help me answer this question thank you !!
Answers
Answer:
c
Step-by-step explanation:
Which relation is a function? Group of answer choices (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) (9, −3), (9, 3), (4, −2), (4, 2), (0, 0) (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) (1, 1), (2, 2), (3, 3), (4, 4), (5, 8)
Answers
Given:
The relations in the options.
To find:
The relation which is a function.
Solution:
Consider the options are :
(a) {(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)}
(b) {(9, −3), (9, 3), (4, −2), (4, 2), (0, 0)}
(c) {(1, 0), (3, 0), (1, 1), (3, 1) (1, 3)}
(d) {(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)}
A relation is a function if there exist a unique y-value for each x-value.
In option (a), y=7 and y=1 at x=2. So, it is not a function.
In option (b), y=-3 and y=3 at x=9. So, it is not a function.
In option (c), y=0 and y=1 at x=3. So, it is not a function.
In option (d), there are unique y-value for each x-value. So, it is a function.
Therefore, the correct option is (d).
WILL CHOOSE BRAINLIEST!!!!!!!!!!!!!
30 points!!!!!!!!!!
12x^2 y for x=–0.3,y= 1/6
Answers
Answer:
0.18
Step-by-step explanation:
Consider the absolute value inequality: |x - 6| > 20. Will the graph of the solutions to the inequality result in an "and" or an "or" inequality? Without solving to find the exact solutions, explain
Answers
Step-by-step explanation:
Case 1 : |x| > a, => x > a or x < -a
Case 2 : |x| < a, => -a < x < a
Since this question follows Case 1, we will have an "or" inequality.
Write a multiplication fact that goes with this division fact.
33 ÷ 11 = 3
Answers
Answer: 3 x 11 = 33
Step-by-step explanation: Hope it helped!
what is the simplest form of this ratio?
100:40:20
Answers
Answer:
52
Step-by-step explanation:
what is the answer?
Answers
Answer:
HL
Step-by-step explanation:
The hypotenuse and the "leg" are congruent...along with the 90 degree angle.
"The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent." - Calcworkshop
somebody please help me thansk
Answers
Answer:
y=-2x-1
Step-by-step explanation:
You have to check the distance the points are apart from eachother
2x + 22 = 4(x + 3)
Please help me
Answers
Answer: x=5
Step-by-step explanation:
2x+22=4(x+3)
First distribute
2x+22=4x+12
Now intractable 2x from both sides
22=2x+12
Now subtract 12 from both sides
10=2x
Now divide by 2 to get x alone
5=x
So
x=5
Answer:
The answer is x = 5, see comments for explanation.
find the sum of 10x^2-6 and x +6
Answers
Answer:
10x2+x
Step-by-step explanation:
Choose the property of real number that justifies the equation. Last time I asked this the picture was cut out! Please answer quick I’m timed!
Answers
Answer:
I am thinking it is distributive property
Find the value of Angle A and B!!! Will mark brainliest
Answers
Answer:
A=73
B=107
Step-by-step explanation:
since the angles are across from eachother they would be the same, the total angle of all 4 added together would be 360, and 73+107 would be 180, so 180+180 is equal to 360
There are 85 girls and 70 boys in the sixth grade. Of these students, 14
girls and 8 boys take piano lessons. What percentage of the sixth
graders at this school take piano lessons?
Answers
Answer:
14.2%
Step-by-step explanation:
85+70= 155
155=100%
22=?
22×100%÷155
= 14.1935
hence answer is 14.2%
What is the measure of <6
<6=
Answers
Answer:
20/20
Step-by-step explanation:
Match each inequality to the correct graph.
Answers
Answer: Hope this helps