Answer:
-1 = 1/2*4 + -3 / -1 = 1/2*4 - 3 for slope intercept equations
y + 1 = 1/2(x - 4) for point slope equations
Step-by-step explanation:
Slope intercept formula is y = mx + b where y is the y point, x is the x point on the graph, m is the slope and b is y intercept. For this we know the slope, the x and the y axis. Now all we need to find is the y intercept, for this we would have have to multiply the x axis by the slope and then find the number to complete the equation in this case its 1/2 (slope) and 4 (x axis),
-1 = 2 + b
for this we'd subtract -2 to both sides
-1 -2 = +2 - 2 + b
Which then we'd get,
-3 = b
So our Y intercept is -3
To complete the equation we'd finish it with putting everything together,
-1 = 1/2*4 + -3 or -1 =1/2*4 -3
If it were a point slope equation (y - y₁ = m(x - x₁)) we have the y₁, x₁ and the slope value 1/2, so we have all we need to fill in the point slope equation and here it is,
y + 1 = 1/2(x - 4)
Hope this helps!
What is the greatest multiple of 99 that is less than 0?
Answer: -99
Step-by-step explanation:
This is a tricky question because we are dealing with negative numbers. In this case, the numbers that are closer to 0 are the greater numbers. So, the greatest multiple of 99 that is less than 0 would be -99.
Jane wrote all the natural numbers from 1 to 12. including 1 and 12.
how many numbers did Jane write?
Answer:
12 numbers
Step-by-step explanation:
1,2,3,4,5,6,7,8,9,10,11,12
Write a system of equations to describe the situation below, solve using elimination, and fill in
the blanks.
The manager at a community pool is looking over receipts. On a certain Monday, the pool had
16 children and 42 adults, which brought in $142. That same week on Tuesday, 24 children
and 26 adults came to the pool, which brought in $102. What are the admission prices for
children and adults?
Answer: Child is $1 and Adult is $3, per person.
Step-by-step explanation:
We have two unknowns, so we need at least two equations. Let C and A stand for the price of a ticket for a child and an adult, respectively.
The income for Monday and Tuesday can be calculated:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
Rearrange the second equation to isolate one of the variables. I'll pick C:
24C + 26A = $102
C = ($102 - 26A)/24
Now use this expression for C in the first equation
16C + 42A = $142
16(($102 - 26A)/24) + 42A = $142
16(($102 - 26A)/24) + 42A = $142
(1632 - 416A)/24 + 42A = $142
(68 - 17.3333A + 42A = $142
24.6667A = 74
A = 3 [The price of an adult pool admission is $3]
Use this value in either equation to find the price of a child's admission:
24C + 26A = $102
24C + 26*($3) = $102
24C = 102 - 78
C = $1 [The price of a child's admission to the pool is $1]
Check to see if these prices satisfy both equations:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
---
Monday: 16*(1) + 42*(3) = $142 ? YES
Tuesday: 24*(1) + 26*(3) = $102 ? YES
Child is $1 and Adult is $3, per person.
A 9-foot roll of waxed paper costs $4.32. What is the price per inch?
The price per foot is $0.91
Step-by-step explanation:
A 6-yard roll of butcher paper costs 16.38
1 yard = 3 foot
6 yards = 3 times 6 = 18 foot
the cost of 18 foot is $16.38
To find price per foot, we divide the cost of 6 yards by 18
16.38÷ 18 = 0.91
The price per foot is $0.91
For any two numbers a and b, the product of a − b times itself is equal to a^2 − 2ab + b^2. Does this familiar algebraic result hold for dot products of a vector u − v with itself? In other words, is it true that (u − v) • (u − v) = u • u − 2u • v + v • v? Justify your conclusion, trying not to express vectors u and v in component form.
Answer:
yes; the distributive property applies to dot products
Step-by-step explanation:
The product of (a-b) with itself is ...
(a -b)·(a -b) = a² -2ab +b²
because the commutative and distributive properties apply to multiplication.
(a -b)·(a -b) = a(a -b) -b(a -b) = a² -ab -ba +b² = a² -ab -ab +b² = a² -2ab +b²
__
The same expansion works for the dot product operation, because the commutative and distributive properties hold for that operation, as well.
(u −v)•(u −v) = u•(u -v) -v•(u -v) = u•u -u•v -v•u +v•v
= u•u -u•v -u•v +v•v = u•u -(u+u)•v +v•v = u•u -2u•v +v•v
_____
Additional comment
The proof of any of the properties of the dot product relies on expressing the vectors in component form. The distributive property is no exception.
The cost of a season train ticket is reduced by $87.36 which corresponds to a 39% reduction. Find the original cost of the season ticket.
PLs help me 15 points on total
Answer:
i think its C
Step-by-step explanation:
Please help what is the answer its a math question find the lcd!!!
Step-by-step explanation:
sorry I don't now but when I now I will tell you ok but mybe it 12×12×12
If A = 2x – y + 3xy, B = x + 2xy and C = 3y + xy, find the value of A + B + C
[tex]A+B+C\\\\=(2x-y+3xy)+(x+2xy) +(3y+xy)\\\\=3x+2y+6xy[/tex]
The value of the expression A + B + C is equal to 3x - 2y + 4xy.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Are three expressions A = 2x - y + 3xy, B = x + 2xy and C = 3y + xy.
Now, A + B + C is equal to the sum of their values which is,
= (2x - y + 3xy) + (x + 2xy) + (3y + xy).
Now, we'll combine the like terms,
= 2x + x - y + 3y + 3xy + xy.
= 3x - 2y + 4xy.
So, The value of the expression A + B + C is equal to 3x - 2y + 4xy.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ6
Please help I’ll mark brainliest!!!
Answer:
B
Step-by-step explanation:
As x gets bigger or smaller, y approaches negative infinity
Given a ball with a diameter of 38 inches, how much fabric would be needed to cover the surface?
Answer:
[tex]27436\pi[/tex] square inches
Step-by-step explanation:
Since we are covering the surface of the ball, we need to determine the ball's surface area.
Assuming the ball to be a sphere, its surface area would be [tex]A=4\pi r^2[/tex] where [tex]r[/tex] is the radius.
Since the diameter is twice the radius, then the radius of the ball is 19 inches.
Therefore, the surface area of the ball is [tex]A=4\pi (19)^3=4\pi(6859)=27436\pi[/tex] square inches.
Marissa bought 3 chocolate bars each week. How many chocolate bars will Marissa buy after 3 weeks?
can sommeone help solve equation
Step-by-step explanation:
3x + 10 < 3
3x + 7 < 0
3x < -7
x < -7/3 = -2.3333...
or
2x - 5 >= 5
2x >= 10
x >= 5
x < -7/3 or x >= 5
Acar moves at a constant speed of 50 miles per hour. How long
does it take the car to go 200 miles?
O 250 hours
150 hours
O 4 hours
O 10,000 hours
Answer:
4 hours · Speed = 50 mph · distance = time x speed · Time = 200 / 50 = 4 hours.
Step-by-step explanation:
DONT ASNWER IF YOU DON"T KNOW THE ANSWER
Are the two triangles similar? Why or why not?
A tank contained 35 liters of water. After some water was poured out, it was 2/5 filled. How much water was poured out from the tank?
Answer:
21litres
Step-by-step explanation:
2/5 of 35litres of water was left in the tank
2/5 × 35 = 14litres
14litres remained
Amount of water poured out= 35-14
= 21litres
Find the equation of the line shown.
у
10
9
8
7
6
5
4
3
2
N
O
Х
1 2 3 4 5 6 7 8 9 10
The equation of the line shown is y = 4 x
What is a straight line?A straight line is the shortest distance between two points. the equation of straight line is represented as [tex]y = mx + c[/tex]
m is the gradient
y2, y1, x2, x1 are gotten from the graph
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{8 - 4}{2 - 1}[/tex]
[tex]m = \frac{4}{1}[/tex]
m = 4
c is the intercept on x-axis
from the graph c = 0
substituting the values give:
y = 4 x
read more on equation of straight line here: https://brainly.com/question/14323743
10)
4x-9
X + 18
Solve for x
Answer:
x = 9
Step-by-step explanation:
The alternate interior angles theorem tells us that these two quantities must be the same.
Therefore,
x + 18 = 4x - 9
x + 18 + 9 = 4x
x + 27 = 4x
27 = 4x - x
27 = 3x
x = 9
---
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For the holidays, Antonio is driving to visit his grandparents who live 441 miles away. Antonio's car gets 31.5 miles per gallon of gas when he is driving on the highway. In order to budget for his trip, Antonio wants to know how much gas he will need.
Use an equation to find how much gas Antonio needs for the drive.
Antonio needs
gallons of gas.
Answer:
12
Step-by-step explanation:
Determine all the zeros of the function y = 3x^2 - 2x - 2
Answer:
A
Step-by-step explanation:
On a coordinate grid, point P is at (4, 3) and point R is at (−2, −5). Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S?
Q(−4, 3), S(2, −5)
Q(4, −3), S(−2, 5)
Q(−4, −3), S(2, 5)
Q(−4, 3), S(−2, 5)
Answer:
The answer would be B!
Step-by-step explanation:
please help meeeeeeeeeeee....
ty
Answer:
y = 1/26x - 2
Step-by-step explanation:
Subtract x both sides
-26y = 52 + (-x)
Divide by -26 both sides
y = -2 + 1/26x
y = 1/26x - 2
This weekend, Jerome earned $252.50 in all. What was the dollar amount of the meals that Jerome served?
Answer:
Is that the full question? I can't solve this unless I have the full question. I don't know how many different meals she sold.
at what rate of simple interest will ₹4400 amount to ₹5610 in 5 years 6 months
Answer:
0.05 or 5%
Step-by-step explanation:
The formula for simple interest is as follows:
A = P(1+rt), with A representing the final amount, P representing the initial amount, r being the rate, and t being time. Plugging our values in, we have
5610 = 4400(1+5.5r). We know that 5 years and 6 months is 5.5 because 6 months = 0.5 years
5610 = 4400(1+5.5r)
expand
5610 = 4400 + 24200r
subtract 4400 from both sides to isolate the variable and its coefficient
1210 = 24200r
divide both sides by 24200 to isolate the variable
r = 0.05 or 5% as 0.05 * 100 = 5
Can someone help me solve this problem? I’m not sure how to solve this type of expression
Answer:
(2x+3)square+2
Step-by-step explanation:
(2x) square +2 (2x)(3)+(3)square
2x square +12x+9
I think so.
pls give me brainliest
What is 16.281 rounded to the nearest whole number
and What is 16.281 rounded to the nearest tenth?
Answer:
16, and 16.3
Step-by-step explanation:
Answer:
1. 16 2.16.3
Step-by-step explanation:
2.16.281 is 16.28 which is near 16.3 so you round. Also anything above 5 you round and anything below 5 you round down.
help me please asap
i will make you brainliest
Answer:
see explanation
Step-by-step explanation:
An open circle indicates that x cannot equal that value
A closed circle indicates that x can equal that value.
(i)
An open circle at x = - 1 and arrow pointing right
x > - 1
(ii)
An open circle at x = - 1.5 and arrow pointing right
x > - 1.5
(iii)
A closed circle at x = 4 and arrow pointing left
x ≤ 4
(iv)
A closed circle at 0.5 and arrow pointing left
x ≤ 0.5
The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.
Answer:
Rhombus
Step-by-step explanation:
The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.
Where did this student make the mistake when solving this inequality?
2x + 4 > 5x - 5
-2x -2x
4 < 3x - 5
+5 +5
9 < 3x
/3 /3 (divide by 3)
3 < x
options:
When subtracting the same value from both sides you don't need to switch the inequality sign
There is no mistake, it was solved correctly
You don't subtract 2x from each side, you add 2x to each side
When dividing by 3 you should switch the inequality sign
Answer:
You don't subtract 2x from each side, you add 2x to each side
When is new years????????????
Answer:
21 day
Step-by-step explanation:
EASY MArk as brainliest
Answer:
January 1 is new years day! can I get branliest:>