Answer:
The equation of the parabola will be:
[tex]\:y^2=12x[/tex]Step-by-step explanation:
The vertex (h, k) is halfway between the directrix and focus.
Find the x coordinate of the vertex using the formula
x = (x-coordinate of focus + directrix)/2
= (3-3)/2
= 0/2
=0
The y -coordinate will be the same as the y-coordinate of the focus.
so the vertex will be: (0, 0)
Finding the distance from the focus to the vertex
The distance from the focus to the vertex and from the vertex to the directrix is |p|.
Subtract the x coordinate of the vertex from the x -coordinate of the focus to find p .
[tex]p=3-0[/tex]
[tex]p=3[/tex]
Substitute in the known values for the variables into the equation
[tex]\left(y-k\right)^2=4p\left(x-h\right)[/tex]
[tex]\left(y-0\right)^2=4\left(3\right)\left(x-0\right)[/tex]
[tex]\:y^2=12x[/tex]
Therefore, the equation of the parabola will be:
[tex]\:y^2=12x[/tex]8x+ 10y = 40 How to write this in slope-intercept form?
Step-by-step explanation:
write the slope in slope intercept form, y=mx+b
y= -4/5x + 4
hope this helps :)
Tomas combines 8.73 ounces of strawberries with 8.86 ounces of blueberries to make fruit bowls. He pours the fruit equally into 4 bowls, and has 0.23 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answer:
8.73 Ounces
Step-by-step explanation:
8.73 + 8.86 = 17.59
17.59 - 0.23 = 17.36
17.36 divide by 4 = 8.73
Each bowl has 4.46 ounces of fruit.
What is division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.
Now it is given that,
ounces of strawberries = 8.73 ounces
ounces of blueberries = 8.86 ounces
So, total ounces of fruits = 8.73 ounces + 8.86 ounces
⇒ total ounces of fruits = 17.59 ounces
Left over fruit = 0.23 ounces
So, total ounces of fruit in all bowls = 17.59 ounces - 0.23 ounces
⇒ total ounces of fruit in all bowls = 17.82 ounces
Since there are 4 bowls.
Thus, ounces of fruit in each bowl = 17.82/4 ounces
⇒ ounces of fruit in each bowl = 4.46 ounces
Thus, Each bowl has 4.46 ounces of fruit.
To learn more about Division :
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check if the two triangles are congruent
Solve the system by graphing.
y = 3x -4
y= -1/2x +3
Answer:
(2,2)
Step By Step Solution:
(2,2)
PLEASE HELP !! Timed test Which equation represents the relationship between x and y in the table?
Answer:
divided by 5
Step-by-step explanation:
Hope that helps!
Answer:
Answer Choice D- y=x/5
Step-by-step explanation:
All the numbers in the table fit in and correlate to the equation. You can substitute any of the x's into the equation and get y correctly this is why the equation y=x/5 is the solution.
If you can please make my answer the brainliest that would be much appreciated. Thanks!
Scientists estimate between 10,000,000 and 50,000,000 monarch
butterflies per hectare spend the winter in Mexico. The monarch butterfly
colony covers an area of 2 hectares. What is the difference between the
greatest and least possible number of butterflies in the monarch colony?
Answer:
Step-by-step explanation:The Monarch Butterfly Biosphere Reserve is a World Heritage Site containing most of the ... The monarch butterflies migration patterns are altered by climate change. During migration ... This area is predominantly covered in forests. ... These colonies are dense, with between six and sixty million butterflies per hectare.
Answer:
80,000,000
Step-by-step explanation:
The difference between 10,000,000 and 50,000,000 is 40,000,000 per hectare. The question states two hectares, so 40,000,000 x 2 is 80,000,000.
Hope that helps.
If x=5 what is the perimeter of the triangle ??????
Answer: 21
Step-by-step explanation: Replace the x with 5.
2(5) + 11 = 10 + 11 = 21
6(5) - 9 = 30 - 9 = 21
The grocery store sells cantaloupes for $4.50 per pound. Write a function to represent the situation. Then is the function continuous or discrete?
You buy a watch for $60. a. There is a 6% sales tax. What is your total cost for the watch? b. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? c. What is your friend's total cost for the watch including tax? Original Price Percent of Discount Sale Price is?
Elizabeth Martz
Answer:
A= 63.6$
B= 51$
C= 54.6
D= ??? (sorry)
Step-by-step explanation:
hope this helps!
The answers to each part is given below.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that you buy a watch for $60.
{a} -Total cost of watch -
{C} = ${60 + (6% of 60)}
{C} = ${60 + (6/100 x 60)}
{C} = $(60 + 3.6}
{C} = $63.6
{b} -New sale price -
{D} = 60 - (15% of 60)
{D} = 60 - (15/100 x 60)
{D} = 60 - 9
{D} = $51
{c} -Total cost of watch including tax -
{CT} = 51 + (6% of 51)
{CT} = 51 + 3.06
{CT} = 54.06
Therefore, the answers to each part is given above.
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6. Let f(x) = 4x - 7 and g(x) = 2x - 3. Find (fog)(4)
sos idk how to solve this:)
Answer:
[tex]\huge\boxed{(f\circ g)(x)=8x-19}[/tex]
Step-by-step explanation:
[tex](f\circ g)(x)=f\bigg(g(x)\bigg)\\\\f(x)=4x-7;\ g(x)=2x-3\\\\\text{Put instead}\ x\ \text{expression}\ 2x-3\ \text{to }\ f(x):\\\\(f\circ g)(x)=4(2x-3)-7=(4)(2x)+(4)(-3)-7=8x-12-7=8x-19[/tex]
this is hard guys helppppp
Answer:
2. x= -7
3. x= 56/9
Step-by-step explanation:
All you do is just solve for x. Easy! :D
If you can please make my answer the brainliest that would be much appreciated. Thanks!
which number liin shows -5x+10>-15
A. -10 to 1
B. 5 to 10
C. 1 to 10
D. -10 to 5
Joe says there is a total of 40 students. Do you agree with Joe? Why or Why not?
Answer:
Step-by-step explanation:
Well the question you should be asking first is....what is part a? Because if you put that picture up i could mostly help sooo
is the expression a valid way to calculate a 15% tip on a cab fare of d dollars?
Answer yes or no
EXPRESSION
0.10d + 0.05d Yes or No
0.85d Yes or No
1.015d Yes or No
0.15d Yes or no
what is the domain of this scatter plot?
Answer:
this answer should be green
Find the slope: y=23x+10
Answer:
the slope is 23
Step-by-step explanation:
what is the number of x
8x-2=-9+7x
Answer:
x=-7
Step-by-step explanation:
Brain-list?
Answer:
x= -7
Step-by-step explanation:
8x-2=-9+7x
7x-8x=x
x-2=-9
+2 to -9
x=-7
What is the value of x?
Answer:
15
Step-by-step explanation:
(180-78-12)/6
Decrease £7200 by 5%
and what increases £2700 by 20%
Answer:
Decrease:£7,560
increase:£3,240
Subtract.
(2x4−x2+5x−2)−(−x4+3x3+2x2−1)
Answer:
477
Step-by-step explanation:
:)
how to divide mixed fracions
Answer:
Change each mixed number to an improper fraction.
Multiply by the reciprocal of the divisor, simplifying if possible.
Put answer in lowest terms.
Check to be sure the answer makes sense.
Step-by-step explanation:
Hope you have a good day
Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55). Step 2: Find the slope. M = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47 Step 3: Find the y-intercept to write the equation in slope intercept form. Y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. Y = 0.47 x + 39.1.
Answer:
y = 0.47x + 25
y1 = 41.45 and not 55.55
Step-by-step explanation:
Given that:
x = number of brochures
y = total. Cost
Total cost of 35 brochures = $41.45
Total cost of 65 brochures = $55.55
The ordered pairs :
(x1, y1) ; (x2, y2)
x1 = 35 ; y1 = 41.45 ; x2 = 65 ; y2 = 55.55
(35, 41.45), (65, 55.55)
The slope :
Slope (m) = change in y / change in x
m = (y2 - y1) / (x2 - x1)
m = (55.55 - 41.45) / (65 - 35)
m = 14.1 / 30
m = 0.47
The y intercept :
y - y1 = m(x - x1)
y - 41.45 = 0.47(x - 35)
y - 41.45 = 0.47x - 16.45
y = 0.47x - 16.45 + 41.45
y = 0.47x + 25
Lila incorrectly chose 41. 45 as y1
Answer:
C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
Step-by-step explanation:
Took the quiz on Edge && Made an 100%
Greta uses 2oz of pasta to make 2/3 of a serving of pasta.How many oz of pasta are there per serving
Answer:
3oz of pasta per serving
Step-by-step explanation:
Given parameters:
Number of oz of pastas used = 2oz
Quantity of serving = [tex]\frac{2}{3}[/tex]
Unknown:
Number of oz of pasta per serving = ?
Solution:
To solve this rate problem use;
Number of oz of pasta per serving = [tex]\frac{number of oz of pasta}{number of serving}[/tex]
Number of oz of pasta per serving = [tex]\frac{2}{\frac{2}{3} }[/tex] = 2 x [tex]\frac{3}{2}[/tex] = 3oz of pasta per serving
FIND THE AREA OF THE SEGMENT AYB. IF RADIUS OF THE CIRCLE IS 21cm AND ANGLE AOB= 120 DEGREE ( use pie= 22/7)
PLZ answer very urgent
Answer:
The area of the segment AYB is 271.0413985 cm²
Step-by-step explanation:
The rule of the area of a sector is A = [tex]\frac{\alpha }{360}[/tex] × π r², where
α is the central angle of the sectorr is the radius of the circleThe area of a triangle is A = [tex]\frac{1}{2}[/tex] × s1 × s2 × sinФ
s1 and s2 are two sides of the triangleФ is the included angle between s1 and s2∵ Area of the segment AYB = Area the sector AOB - Area ΔAOB
∵ The radius of the circle is 21 cm
∴ r = 21 cm
∵ The central angle of the sector is 120°
∴ α = 120°
∵ π = [tex]\frac{22}{7}[/tex]
→ Substitute them in the rule of the area of the sector to find it
∵ Area sector AOB = [tex]\frac{120}{360}[/tex] × [tex]\frac{22}{7}[/tex] × (21)²
∴ Area of sector AOB = 462 cm²
∵ OA and OB are the radii of the circle
∴ s1 = OA and s2 = OB
∴ s1 = s2 = 21 cm
∵ The angle included between them is 120°
∴ Ф = 120°
→ Substitute them in the rule of the area of the triangle to find it
∵ Area of the Δ = [tex]\frac{1}{2}[/tex] × 21 × 21 × sin(120)
∴ Area of the Δ = 110.25√3 cm²
∵ Area of the segment AYB = Area the sector AOB - Area ΔAOB
∴ Area of the segment AYB = 462 - 110.25√3
∴ Area of the segment AYB = 271.0413985 cm²
Find the y-intercept for the following equation.
4x + 9y = 27
Answer:
(0,3)
Step-by-step explanation:
It takes 30 tomatillos to make 8 ounces of
enchilada sauce. How many tomatillos does it
take to make 12 ounces of enchilada sauce?
Answer: 45 tomatillos
Step-by-step explanation: 30 tomatillos divided by 8 ounces is 3.75 tomatillos per ounce. So, multiply 3.75 by 12 ounces. What do we get? 45 tomatillos!
What is (20+7) x 9+4
solution,
(20+7)×9+4
27×9+4
243+4
247
Answer:
247
Step-by-step explanation:
(20 + 7) x 9 + 4
(27) x 9 + 4
243 + 4 = 247
Thus, (20+7) x 9+4 = 247
-TheUnknownScientist
Jordan is using a six-sided number cube to predict whether people shopping in the mall arrive by car or by bus. Based on data gathered in a survey, Jordan decided that a roll of 1 or 2 would represent a person having taken the bus, while any other outcome would represent arriving by car.
Answer:
1/3 of the people come by bus
2/3 of the people come by car
Step-by-step explanation:
The probability of getting a 1 or 2 by rolling the six sided number cube is
P ( 1or 2) = 1/6 + 1/6= 2/6= 1/3
The total probability is always 1 so to get the probability of people arriving by car we subtract the probability of people arriving by bus from 1.
P ( not getting 1 or 2) = 1- P ( 1or 2)
= 1- 1/3= 2/3
The probability of people arriving by bus is 1/3 and the probability of people arriving by car is 2/6or 2/3.
Answer:
The answer is C.As Jordan conducts more trials, the percent of people predicted to take the bus will approach 33%. PLS MARK ME BRAINLYIEST PLS
Step-by-step explanation:
The factors from least to greatest are
Answer:
wheres the picture?
Step-by-step explanation:
im ready but i dont know the problem
Which of the following is 5/9 closest to? a 1/2 b 0 c 1
Answer: do you have a picture of the assignment?
Step-by-step explanation: