This straight line outside the parabola is called the directrix. For parabolas that open either up or down, the standard form equation is (x - h)^2 = 4p(y - k). For parabolas that open sideways, the standard form equation is (y - k)^2 = 4p(x - h). The vertex or tip of our parabola is given by the point (h, k).
A person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. Write an equation that shows the relationship between the number of visits x and the total cost y. Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 6 + x
Step-by-step explanation:
Membership fee = $6
Fee per visit = $1
Let
x = number of visits
y = Total cost
Total cost = fixed cost + variable cost
Fixed cost = Membership fee = $6
Variable cost = Fee per visit × number of visits
= $1 * x
= $x
Total cost = fixed cost + variable cost
y = $6 + $x
y = 6 + x
Solve for x and y, please help!
Answer:
x = 37, y = 9
Step-by-step explanation:
3x + 11 and x + 21 are same- side interior angles and are supplementary, thus
3x + 11 + x + 21 = 189 , that is
4x + 32 = 180 ( subtract 32 from both sides )
4x = 148 ( divide both sides by 4 )
x = 37
--------------------------------
3x + 11 = 3(37) + 11 = 111 + 11 = 122
14y - 4 and 3x + 11 are vertical angles and congruent, thus
14y - 4 = 122 ( add 4 to both sides )
14y = 126 ( divide both sides by 14 )
y = 9
NEED HELP ASAP!!!!! WILL GIVE BRAINLIEST!!
2+2
Answer:
2+2=4
Step-by-step explanation:
You've got this man.
Answer:
4
Step-by-step explanation:
At a basketball game, a vender sold a combined total of 222 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answer:
Probably 169
Step-by-step explanation:
I divided 222 by 2 and got 111 so i added 58 and got 169
111+58=169
If im incorrect please correct me so i can learn as well :D
Write the equation in slope-intercept form of a line that is parallel to y= -8x - 2 and goes through the point (-1, 11)
Answer:
y=-8x+3
Step-by-step explanation:
Slope-intercept form means
[tex]y=mx+c[/tex]
To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.
Since the line is parallel to [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,
[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]
so, the equation becomes,
[tex]y=-8x+3[/tex]
Let p=2n+1 for n=10, 20, 30, or 40. For which value of n does p2−1 have the most factors?
Answer:
For n= 40 p has 7 factors
For n= 20 p has 7 factors
For n= 10 p has 6 factors
For n= 30 p has 6 factors
Step-by-step explanation:
p = 2n + 1
Putting the value of n= 10
p1= 20+1= 21
Putting the value of n= 20
p2= 40+1= 41
Putting the value of n= 30
p3= 60+1= 61
Putting the value of n= 40
p4= 80+1= 81
p2- 1= (p+1)(p-1)
= (81+1)(81-1)
=( 82)(80)
= 6560
= (1312)5
= 328)4)5
= 41 (2)(2)(2)(2)(2)(5)
p2- 1= (p+1)(p-1)
= (61+1)(61-1)
=( 62)(60)
=3720
= (465)(8)
= (93)(5)(8)
= (31)(3)(5)(2)(2)(2)
p2- 1= (p+1)(p-1)
= (41+1)(41-1)
=( 42)(40)
= 1680
= (7)(3)(5*2)(2*2*2)
p2- 1= (p+1)(p-1)
= (21+1)(21-1)
=( 22)(20)
= 440
= (11)(2)(5)(2)(2)
i need help with this
the ratio of milk and water in a tank quantity 3:2 if molk is 600 gm the find tje quantity of water
Answer:
220 should be the answer.
Step-by-step explanation:
Write the equation in point-slope form of the line that passes through (7, -6) and has the slope of 1/2.
PLS HELP
Answer:
y=1/2x-6
Step-by-step explanation:
use the equation y=mx+b
m=slope and b=y-intercept.
we know that the slope is 1/2 and the point is in (x,y) form so for b we can insert the b as -6 , the point that intercepts the y-axis. hope this helps!!
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Does this equation have a single solution, Inhnite solutions, or no solution?
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2x + 2x + 2 = 4x + 2
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Answer: Not sure why you copied the text of the website as well, but it has infinite solutions. You get 4x + 2 = 4x + 2, or 0 = 0.
Step-by-step explanation:
A restaurant bill is $20. Find the 15% tip.
Answer:
You want to leave a 15% tip on a meal that cost $20. 0.15 x $20.00=$3.00. So, the amount of tip you are going to leave is $3.00.
Step-by-step explanation:
Answer $3.00
Step-by-step explanation:
Help please it's a simple question I think but answer it please
Answer:
D. 36
Step-by-step explanation:
because to find volume we should multiply all the side
Answer:
d.36in
Step-by-step explanation:
Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x =
Answer:
25
Step-by-step explanation:
Answer:
it is 25 :)
Step-by-step explanation:
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer: Reflect across the Y and and move it 7 down
Step-by-step explanation: Reflecting across the Y will turn the (X,Y) into (-X,Y) then you just count how many places the image is away from the preimage.
If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?
Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6
what is the slope of this line?
Answer:
slope is 1/4
Step-by-step explanation:
Use rise over run
The slope of the line will be equal to 1/4.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run of the line.
The formula to calculate the slope of the line is given as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line is passing through points ( 0,6) and (8,8). The slope of the line is calculated below,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = (8 - 6 ) / ( 8 - 0)
Slope = 2 / 8
Slope = 1 / 4
Therefore, the slope of the line will be equal to 1/4.
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Use the diagram below to find the measure of each angle. If you cannot see the
diagram below, it is also in your book on page 59. As you write your answer,
write the number and type the word degrees after.
A
E
B
С
50°
D
m
m
m
Express the following number as a decimal:
2 x 10^-6
Answer:
0.000002
Step-by-step explanation:
2* 10^-6
is the same as
2 * 0.000001
which is
0.000002
Answer:
The answer is: 0.000002
Step-by-step explanation:
Have a great day!
pls help easy middle school math
Answer:
Step-by-step explanation:
Question 2 is 3
Question 3 is 10^16
Question 4 is 1/3^5
Question 5 is r^m-n
Answer:
2. 2) x = 3
3. 3) 10^16
4. 2) 1/3^5
5. 1) R = m-n
Step-by-step explanation:
2 and 3 rules. (A^n)^m = A mxn
4 rules. m + n then flip the fraction till it looks like 1/3^d
5 rules. r^m divided by r^n = R m-n
what does -11/2 - 7/3 equal
Answer: - 47/6 or in mixed number form - 7 5/6
Step-by-step explanation:
Question 7 (Essay Worth 5 points) (02.03) Part A: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea. Part B: Determine the unit rate in your example.
Answer:
Kindly check explanation
Step-by-step explanation:
For every 3 hours of weeding performed, I consume 5 litres of water.
This means that, I drink 5 litres of water whenever I weed for a total of 3 hours.
The unit rate :
The liters of water consumed per hour :
3 hours = 5 litres
1 hour = x
3x = 5
x = 5 /3
x = 1.67 litres
1.67 litres of water per hour of weeding performed
.
Answer:
an intruder is coming close brainly for a little please!!!!!!!!!!!!!!!!!
Step-by-step explanation:
HELP PLS
BRAINLIEST IF CORRECT
Answer:
I think it would be 1 and 3
Step-by-step explanation:
The correct answer is the first, second, and third.
1st Option-
This is pretty simple if you understand how a number line works. All the numbers on the right side are greater no matter what.
2nd Option -
All numbers on all sides could be rational, as we don't know what kind of number line this is.
3rd Option-
This is also correct because like the previous statement, the number line is unknown. We could have repeating numbers as long as the ones on the left side are less than the ones on the right.
4th Option -
This is incorrect because no matter what number line you have, the numbers on the left side are ALWAYS less than the ones on the right.
The price of a stove is s dollars. Pedro makes a 10% down payment for a two-year installment purchase. The monthly payment is m dollars. Express the finance charge algebraically.
Answer:
0.2
Step-by-step explanation:
There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. What is the constant of proportionality in this relationship? What does the constant of proportionality tell us about the situation?
Answer: proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
Step-by-step explanation:
When y is directly proportional to y , then the equation for this relationship is given by :-
[tex]y=mx[/tex], (i)
where m is the proportionality constant.
here, it is given that number of months a person has had a streaming movie subscription is proportional to the total amount of money they have paid for the subscription.
If cost for 6 months is $47.94.
Put x= 6 and y= 47.94 in (i), we get
47.94 =6m
Divide both sides by 6 , we get
7.99 =m
So proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
The constant of proportionality (k) is 7.99. This tells us that the subscription per month is $7.99.
Recall:
A proportional relationship is modelled with the equation, y = kx.
k is the constant of proportionality between y and x.
k = y/x
Given:
x = number of months (6)
y = total amount paid for subscription (47.94)
If 6 months subscription costs $47.94, therefore,
k = 47.94/6
k = 7.99
Constant of proportionality is therefore 7.99. This tells us that the subscription for per month is $7.99.
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What is the equation of the graphed line written in
standard form?
2x + 3y = -6
2x + 3y = 6
Y=-2/3x-2
Y=2/3x-2
We can see that the y-intercept of the line is [tex]-2[/tex] and its slope is [tex]-\frac{2}{3}\\[/tex] since to get from [tex](-3,0)[/tex] to [tex](0,-2)[/tex] we have to run by [tex]3[/tex] units to the right and rise by [tex]2[/tex] units down. The the equation of your line in slope-intercept form is [tex]y = -\frac{2}{3}x -2\\[/tex]. All we have to do now is to rewrite it in standard form.
[tex]y = -\frac{2}{3}x -2\\ 3(y) = (-\frac{2}{3}x -2)3 \\ 3y = -2x -6 \\ 2x +3y = -2x -6 +2x \\ 2x +3y = -6 [/tex]
Answer:[tex]2x +3y = -6[/tex]
I'm doing a worksheet about dividing fractions and I dont understand it. it's asking me to estimate and then write the quotient in simplest form. the problems are 1.) 1/2 ÷ 1/4. 2.) 4/5 ÷ 2/3. 3.) 14/15 ÷ 7. 4.) 8÷ 1/3. 5.) 12/21 ÷ 2/3. 6.) 5/6 ÷ 5/12. 7.) 5/8 ÷ 1/2.
can anyone help me?
1. answer: 2
2. answer: 1 and 1/5
3. answer: 2/15
4. answer: 24
5. answer: 6/7
6. answer: 2
7. answer: 1 and 1/4
Explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes _________.
For fraction multiplication, multiply the numerators and then multiply the denominators to get ______.
A parabola has its axis of symmetry at x = -2 and passes through the point (-5, 6). Find another point that passes through the parabola.
Answer:
(1,6)
Step-by-step explanation:
Since the parabola is symmetrical at x=-2, we know that if you take the value for (x-a) and (x+a) where a is any constant, the y values will be the same for both of those x coordinates. so, we can take the coordinate that we know, (-5,6), realize that it is -3 away from -2. then we can add three to get 1 and use the same y coordinate, getting (1,6)
Maria receives a commission of 11.5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold?
The dollar amount of shoes she sold is $1800
Let the amount of the shoe sold e xWhat is commission?It is the amount earned on a product bought or sold.
If she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:
11.5% of x = 207
0.115x = 207
Divide both sides by 0.115
x = 207/0.115
x = $1800
Hence the dollar amount of shoes she sold is $1800
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Help me please :>>>>>
Answer:
B, D
Step-by-step explanation:
Solve for x. Perimeter = 126 meters
Answer:
image or context?????
Step-by-step explanation: