Find the value of y when given the value of x: y=2x-4 when x=7
Answer:
2x+y=7
Put, x=2
2(2)+y=7
4+y=7
y=−4+7
∴y=3.
Step-by-step explanation:
Plz help me I just need the answer
Ricky's heartbeat is 70 beat per minute. How many days have elapsed if his
heart beat a total of 504,000?
The number of days passed to have an accumulated heartbeat of 504,000 is the ratio of the total heartbeat and the number of beat per minute ; Hence, the number of days is 5 days
Heart beat rate per minute = 70 beats Total number of beats = 504,000Number of heartbeats per day = 70 × (24 × 60) = 100,800 beats
Number of days = (504,000) ÷ (100,800) = 5days
Therefore, the Number of days elapsed is 5 days.
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Learning task 1 : From the given equation of the line a) find two points that will satisfy the equation, b) the slope and the y intercepts and c) the x and y - intercepts. 1. 3x + 2y = 5 2. 3y - x = 9
Answer:
Step-by-step explanation:
The standard form equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). Rearrange each equation into this format.
1. 3x + 2y = 5
2y = -3x+5
y = -(3/2)x+(5/2)
a. I'll pick 2 values of x to find 2 values of y:
x y
2 -0.5
5 -5
b. The slope is -(3/2)
c. The y-intercept is (5/2)
2. 3y - x = 9
y = (1/3)x + 3
a. Pick 2 values of x to calculate y:
x y
2 3.67
5 4.67
b. The slope is (1/3)
c. The y-intercept is +3
Write an equation of the parabola that passes through the points (-1,4), (0,1), and (2,7)
y = _____
Answer:
y = -6x^2 + 15x -5
Step-by-step explanation:
equation step 1 for parabola
y2-y1 /x2-x1
= 1 - 4 / 0 - - 1
= -3 / 1
y = -3
We try again different points
y2-y1 / x2-x1
= 7 - 1 / 2 - 0
= 6 / 2
y = 3
we can see that one side is descending and 1 side is ascending
The start of the parabola is 0,1 as x = 0 and crosses the line.
we try again
y2-y1 /x2-x1
7-1 / 2-0
= 6 / 2
y = 3
You should know that a parabola is determined by 3 points, so unless your points happen to be collinear, they will determine a parabola. A straight forward, if not always the easiest way would be to take the general equation
y = ax^2 + bx + c
plug in each point, eg.y = y1 and x = x1 eg) y = y2 and x = y2 eg) y = y3 x=x3
Top equation re-used last see at end.
4 = a(-1)^2 + b(-1 ) + c = a+b+c=4
1 = a(0)^2 +b(0) + c = c =1
7 = a(2)^2 + b(2) + c = 4a+2b=7
a= -1-0 = -1 b = -1-0 = -1 and 4-1 = 3
-a +-b = 3
2nd set of equations
4a-0a = 4a
2b-0b = 2b
7-1 = 6
4a +2b=6 and previous
-a +-b = 3 here we can multiply by -2 to get 2b equality to 1st equation
2a + 2b = -6
4a + 2b = 6
2a = -12
2a = -12 / 2
a = -6
plug a
4(-6) + 2b = 6
-24 + 2b = 6
2b = 6 +24
2b = 30
b = 15
then put a + b+ c into top equation
(-6) + (15) + c = 4
9 + 0 = 4
9 -9 = 4 -9 cancel
c = -5
Then put into first equation as c and complete equation
To find that;
y = -6x^2 + 15x -5 = is our equation of the parabola.
This is how to solve your two linear equations in three unknowns.
The equation of parabola passing through (-1, 4), (0, 1), and (2, 7) is y = 2x² - x + 1.
To find equation of parabola that passes through the given points, we use the general-form of quadratic equation: y = ax² + bx + c.
Since we have three points, we substitute the coordinates of each point into the equation to create a system of equations. Solve for a, b, and c:
Substitute (-1, 4), We get,
4 = a(-1)² + b(-1) + c,
4 = a - b + c,
Next, Substitute (0, 1):
1 = a(0)² + b(0) + c
1 = c
Next, Substitute (2, 7):
7 = a(2)² + b(2) + c
7 = 4a + 2b + c
Now, we have a system of equations:
a - b + c = 4 ...equation(1)
c = 1 ...equation(2)
4a + 2b + c = 7 ...equation(3)
From equation(2), we know that c = 1. Substituting this into equation(1) and 3, we get,
a - b + 1 = 4
4a + 2b + 1 = 7
Solve equation(1) for a - b:
We get, a - b = 3,
Solve equation(3) for 4a + 2b:
4a + 2b = 6
Now we have a system-of-equations as :
a - b = 3
4a + 2b = 6
Solving the system for "a" and "b", We get,
a = 2; b = -1
Now we can write the equation of the parabola:
y = ax² + bx + c ⇒ y = 2x² - x + 1,
Therefore, the required equation of parabola is y = 2x² - x + 1.
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Figure A is reduce to figure b
A.What is scale factor
B.If A has area 15cm2 find the area of b
Answer:
If it’s up tomorrow I will
Step-by-step explanation:
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
O 16 feet
0 10 feet
12 feet
ОО
0 4 feet
A MARAThon runner runs 1620 yards in 9 minutes, how many seconds will it take him to run 351 ft
The diagram shows a square.
(7x + 3)cm (5x + 8) cm
Find the length of the side of the square.
Answer:
x = 5/2cm
Step-by-step explanation:
Because this is a square and each side is equal to each other in length, we can say:
7x + 3 = 5x + 8
We can start rearranging this equation to collect like terms:
7x = 5x + 8 - 3
7x = 5x + 5
7x - 5x = 5
2x = 5
x = 5/2
We can test this out by substituting our new found value for x into the original equation:
7 * (5/2) + 3 = 5 * (5/2) + 8
(35/2) + 3 = (25/2) + 8
I'm going to change the integers (3 and 8) to fractions so the arithmetic is easier, as they'll all have the same denominator.
(35/2) + (6/2) = (25/2) + (16/2)
(41/2) = (41/2)
So as you can see above, with x = 5/2, both sides are equal.
You don't need to put the fractions in brackets; I just do that to make it look a little less messy.
Also, I've only included the units (cm) in the answer. I don't like using units when doing calculations, but your teacher may ask you to perform the calculations using the units throughout.
Mary has a spool of ribbon to make bows. She uses 3 8 yard of the spool's ribbon to make a bow. She has 1 4 yard of the ribbon left on the spool. Which choice is the MOST reasonable tor the yards on the spool before Mary made the bows?
A) 3 8 yard
B) 1 2 yard
C) 5 8 yard
D) 5 6 yard
Answer:
5/8 yards
Step-by-step explanation:
Amount Used: 3/8 yard
Amount Remaining : 1/4
Amount started with = Amount Used + Amount Remaining
We need to find the common denominator for 8 and 4.
3/8 stays 3/8, and 1/4 becomes 2/8 (multiply the numerator and
denominator of 1/4 by 2)
3/8 + 2/8 = 5/8
-Chetan K
Answer:
b) 5/8 yard
Step-by-step explanation:
3/8 of the spool is used to make a bow.
She has 1/4 left. 1/4 = 2/8.
2/8 + 3/8 = 5/8
4a-b=10 . 2a + 3b=12
Answer:
a = 3
b = 2
Step-by-step explanation:
Solve 4a - b = 10 for b:
[tex]4a - b = 10[/tex] [tex]4a - b - 4a = 10 - 4a[/tex] (Subtract 4a from both sides)[tex]-b = -4a +10[/tex] [tex]\frac{-b}{-1} = \frac{-4a+10}{-1}[/tex] (Divide both sides by -1)[tex]b = 4a - 10[/tex]Substitute 4a - 10 for b in 2a + 3b = 12
[tex]2a + 3b = 12[/tex] [tex]2a + 3(4a-10)=12[/tex] [tex]2a + 12a -30 = 12[/tex] (Simplifying)[tex]14a - 30 = 12[/tex] (Simplifying[tex]14a - 30 + 30 = 12 + 30[/tex] (Add 30 to both sides)[tex]14a = 42[/tex] [tex]\frac{14a}{14} = \frac{42}{14}[/tex] (Divide both sides by 14)[tex]a = 3[/tex]Substitute 3 for a in b = 4a - 10
[tex]b = 4a - 10[/tex] [tex]b = 4(3) - 10[/tex] [tex]b = 12 - 10[/tex] [tex]b = 2[/tex]Therefore, a = 3 and b = 2.
Johnathan needs 3 5/8 yards of blue material and 6 3/4 yards of red material How many yards does Johnathan need in all?
Answer:D) 10 3/8
Step-by-step explanation:
Have a wonderful rest of ur day!!
12 workers build a wall in 10hours. How long do 5 workers build a wall
Answer:
24 hours
Step-by-step explanation:
If 12 workers take 10 hours to build a wall, assuming they build at the same rate, it would take one worker 120 hours to build a wall.
By this logic, it would take 120/5 or 24 hours for 5 workers to build a wall
The number of hours 5 men take with the same rate of 12 workers taking 10 hours will be 24 hours.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
The number of hours 1 person take to build the wall = 12 x 10 = 120 hour
Number of men = 5
The number of 5 men will take as 120/5 = 24 hour
Hence "The number of hours 5 men take with the same rate of 12 workers taking 10 hours will be 24 hours".
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100 Points
3. In the image below, the m
Answer:
yo can someone answere this i need it to
Step-by-step explanation:
Which is the equation of the line that passes through (-2,2) and (4,-5)
Answer:
here you go
Step-by-step explanation:
Algebra questions and answers. Write an equation of the line that passes through (4,5) and is parallel to the line defined by 4x+y=-2. Write the answer in slope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.
How do I do this please help
Sorry that this is long, but hopefully this has the answers and explanations you are looking for. Have a nice day!
1a: P' (0, 1) Q' (9, 7)
First, we will look at point P. It is at (-7, -2). If we move it up three and right 7, we will do (-7 +7, -2 +3) which gives us (0, 1). We do the same for Q, (2, 4) -> (2+7, 4 +3) = (9, 7)
2a: This transformation represents the point being moved down 5 units and to the right 2 units. X is left/right and it's being moved positive two, hence right 2. Y is up/down, and it's being moved negative 5, hence down 5.
2b: (4, -3) (not 100% sure on this one)
The wording slightly confused me, but if it's talking about having point A be apart of 2a, here is what we do:
(2, 2) -> (2 + 2, 2 - 5) -> (4, -3)
3a: (x - 26, y + 17)
So (in the y) -13 becomes 4, so it moves 17 units up. For the x, -2 becomes -28, so it is moved 26 units down. This becomes x - 26 and y + 17, which is written correctly above.
3b: A. AP and A'P' have different locations
For a translation shape, size, and direction doesn't change, just where it's at (location).
what number is not a common denominator of 2/4 and 3/8
Which supplementary angles can prove
that lines L and M are parallel?
A. 5 and 6
B. 3 and 8
C. 2 and 4
Answer: 3 and 8
Step-by-step explanation:
5 and 6 only apply to line M, 2 and 4 only apply to line M, while 3 and 8 apply to both.
Here are two points from line AB: A (9,-2) B(1, 14) Here are two points from line CD: C (6.-10) D (8,-14) Are these lines parallel, perpendicular or neither?
Step-by-step explanation:
slope of AB = y2 -y1/x2 -x1 =14 -(-2)/1-9
= 14 +2 /1 -9
= 16/-8
= -2
slope of CD = -14 -(-10)/8 -6 = -14 +10 /2
-4/2 = -2
since slope of AB = CD
(The lines are parallel to each other)
The points (0, 3) and (1, 9) fall on a particular line. What is its equation in slope-intercept form?
Answer:
y = 6x + 3
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - 3 / 1 - 0
6/1
= 6
y = 6x + b
3 = 6(0) + b
3 = 0 + b
3 = b
Answer:
y = 6x+3
Step-by-step explanation:
[tex]\frac{y2-y1}{x2-x1}\\\\= \frac{9-3}{1-0}\\\\= \frac{6}{1}\\\\= 6[/tex]
Hence, the slope is 6.
Substituting the slope value to the equation 'y=mx+c',
y = 6x +c
Substituting (0,3):
3 = 0 + c
c = 3
Hence,
y = 6x + 3
Feel free to mark this as brainliest! :D
who wants to plays cold war
it's probably pretty cold if you ask me;)
help please help please help please
Answer:
Check picture
Step-by-step explanation:
2cosx-[tex]\sqrt{2}[/tex]=0
[tex]\\ \sf\longmapsto 2cosx-\sqrt{2}=0[/tex]
[tex]\\ \sf\longmapsto 2cosx=\sqrt{2}[/tex]
[tex]\\ \sf\longmapsto cosx=\dfrac{\sqrt{2}}{2}[/tex]
[tex]\\ \sf\longmapsto cosx=\dfrac{1}{\sqrt{2}}[/tex]
[tex]\\ \sf\longmapsto x=cos^{-1}\left(\dfrac{1}{\sqrt{2}}\right)[/tex]
[tex]\\ \sf\longmapsto x=60[/tex]
HELP ME ONLY IF YOU KNOW THE ANSWER!!
11. Tell whether the sequence is arithmetic. If it is, what is the common difference?
19, 12, 5, - 2
Yes; -7
Yes; 7
Yes; 1/7
No
The thermometer currently reads 36°C. In the evening, the temperature drops 4°C every hour. What will the thermometer read after 3 hours?
Answer:
This thermometer shows a temperature of -6 degrees Celsius. If the temperature rises a few degrees and gets very close to 0 degrees without reaching it,
Step-by-step explanation:
hope this helps have a great day :)
ic.
f
8. EXERCISE Del Ray can run 20 1/2 miles in
2 1/4 hours. How many miles per hour can
he run?
(rounded) 9 miles OR 9 1/10 miles
PLEASE HELP (20 POINTS)
POLYNOMIAL FUNCTIONS UNIT TEST
Can x3+8 be factored? Explain
Yes, because x3 and 8 both share a common factor.
No, because x3 and 8 do not have any common factors.
No, because a sum of cubes cannot be factored.
Yes, because a sum of cubes can be factored.
Answer:
option b
Step-by-step explanation:
you can't take out anything, not an x or a 2
Name the property illustrated.
(10 + 1) + 9 = 10 + (1 + 9)
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{PROPERTIES of MATH (of addition)}}\\\\\large\bullet\boxed{\mathsf{\ Commutative \ property: \boxed{\bf x + y = y + x}}}\\\bullet\boxed{\mathsf{\ Identity\ property: \boxed{\bf x + y = x}}}\\\bullet\boxed{\ \mathsf{Associative\ property: \boxed{\bf (x + y) + z = z + (x + y)}}}\\\bullet\boxed{\ \mathsf{Distributive\ property: \boxed{\bf x(y + z) = x\times y + x\times z}}}[/tex]
[tex]\large\boxed{\mathsf{(10 + 1) + 9 = 10 + (1 + 9)}}\\\\\\\large\boxed{\mathsf{(10 + 1) + 9}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\large\boxed{\mathsf{10 + (1 + 9)}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\\\\\huge\boxed{\mathsf{20 = 20}}\huge\checkmark[/tex]
[tex]\huge\boxed{\mathsf{Based\ on\ the\ information\ we \ have\ above\ your}}\\\huge\boxed{\mathsf{answer \ is: \underline{\underline{\bf Associative \ Property}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Can you solve this? I'm terrible at math
plz help with this problem
Answer:
d=30°
e=117°
f=66°
Answer:
E: 117
D: 30
F: 33
Step-by-step explanation:
360-117-117-30-30=66
66 divide by 2 = 33