Answer:
A and A
the equation of a parabola in vertex form is
y = a(x - h)² + k
where ( h, k ) are the coordinates of the vertex and a is a multiplier
y = - 2(x + 3)² + 2 is in this form
with vertex = ( - 3, 2)
To find the y-intercept let x = 0
y = - 2(3)² + 2 = - 18 + 2 = - 16
Similarly
y = - 2(x + 2)² + 2 is in vertex form
vertex = ( - 2 , 2)
x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept
hope this helped
Match the equation on the left with its solution(s) on the right.
Priya, and Jibran take 1 hour and 10 minutes working together to deliver all newspapers on their route. Priya, when working alone, can finish the delivery route 5 minutes faster than Jibran. How many minutes does it take each person to complete the route if they worked alone
Answer:
Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.
Step-by-step explanation:
We have that Priya (P) and Jibran (J) take 1 h + 10 min working together:
[tex] P + J = 60min + 10min = 70 min [/tex] (1)
Also, Priya can finish the delivery 5 minutes faster than Jibran:
[tex] P = J - 5 [/tex] (2)
By entering equation (2) into (1) we have:
[tex] (J - 5) + J = 70 min [/tex]
[tex] 2J = 75 min [/tex]
[tex] J = 37.5 min = 37 min + 30 s [/tex]
Hence, Jibran takes 37 minutes and 30 seconds to complete the route.
Now, by entering J into equation (2):
[tex] P = 37 min + 30 s - 5 min = 32 min + 30s [/tex]
Therefore, Priya takes 32 minutes and 30 seconds to complete the route.
I hope it helps you!
Answer:
Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.
Step-by-step explanation:
3. A parking fee at SM Lucena costs P25.00 for the first two hours and an extra P5.00
for each hour of extension. If you park for more than twelve hours, you instead
pay a flat rate of P100.00. Represent your parking fee using the function pit)
where t is the number of hours you parked in the mall.
Answer:
(Fill in the missing terms to show the
25 if
p(t) =} (25 + 5t) if
ift > 12
piecewise function of the problem)
Answer:
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
Step-by-step explanation:
Given
1. When time is not more than 12 hours.
Base amount = P25
Additional = P5 per hour
2. When time is more than 12 hours
Fee = P100 one time payment
Represent (1) as a function of t.
p(t) = Base Amount + Additional * t
p(t) = 25 + 5 * t
P(t) = 25 + 5t --- when t ≤ 12
Represent (2) as a function
P(t) = 100 ---- when t > 12
So, the complete function is
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bottles. She notices that they leave about 2 ounces of air every time they fill a bottle, to avoid overfill. How much maple sap did they need to collect to fill 15 bottles? How much less maple sap did they need than if they would have filled each bottle to the top? Express your answer as a negative number.
Answer:
10,800
-1200
Step-by-step explanation:
Given that :
40 units of maple sap = 1 ounce of maple syrup
Using a 20 - ounce bottle, 2 ounces of air is left
Ounces of actual syrup = (20 - 2) = 18 ounces
Number of maple sap required to fill 15 bottles :
Number of maple saps required to fill 18 ounces bottle :
40 units = 1 ounce
x = 18 ounces
Hence, for 18 ounces of maple syrup :
(40 * 18).= 720 units of maple sap
For 15 bottles of 18 ounces maple syrup:
(720 * 15) = 10,800 units of maple sap
If they had filled each bottle to the top:
(40 * 20 * 15) = 12000 units of maple sap
10,800 - 12000 = - 1200 units of maple sap
HELP ME PLZZ I CANT FAIL THIS, SO PLZZ HELP ME !!!
Answer:
C i think
Step-by-step explanation:
You always put the numerator as what you are splitting or dividing the denominators number hope you understand what im trying to say
i have 50 plus 15 or 13 followers on Tikok how much followers do i have :)
Answer:
65?
Step-by-step explanation:
Find the general term of the quadratic sequence 3, 6, 11, 18, 27,....,...
Answer: 39.
Step-by-step explanation:
As 3+3=6, 6+5=11,11+7=18,18+9=27,27+11=39.
What is five times seven divided by nine
Answer:
3.9 or 3.88888888889
Step-by-step explanation:
5*7=35
35/9=3.88888888889=3.9
Answer:
5*7 = 35 / 9 =3
Step-by-step explanation:
because it is the closest
The average distance from Pluto to the Sun is about 6×109 kilometers. The average distance from Mars to the Sun is about 2×108 kilometers. The average distance from Pluto to the Sun is about how many times greater than the average distance from Mars to the Sun?
Answer:
The average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.
Step-by-step explanation:
We have:
- Distance from Pluto to the Sun ([tex]d_{PS}[/tex]) = 6x10⁹ km
- Distance from Mars to the Sun ([tex]d_{MS}[/tex]) = 2x10⁸ km
Now, we can find how many times greater is [tex]d_{PS}[/tex] than [tex]d_{MS}[/tex] as follows:
[tex] \frac{d_{PS}}{d_{MS}} = \frac{6 \cdot 10^{9} km}{2 \cdot 10^{8} km} = 30 [/tex]
Therefore, the average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.
I hope it helps you!
Joelle works as a car salesperson. Her monthly pay is calculated with the equation y=500x+1000, where x represents the number of cars sold and y represents her pay in dollars.
What is the meaning of the y-intercept of the equation
Answer:
The y-intercept is what she gets paid even with no cars sold. Its the minimum she can get paid. Regardless of how many cars she sells, her base pay is $1000.
Step-by-step explanation:
Hope this helped!
The y-intercept of the equation is 1,000 which represents the pay in dollars.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation is given below.
y = 500x + 1,000
The y-intercept of the equation is 1,000 which represents the pay in dollars.
More about the linear equation link is given below.
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–6 (b+3) = -8b +5 What value of b makes the equation true?
Answer:
b = -5/2
Step-by-step explanation:
- 6 (b + 3)= - 8 + 5
- 6b - 18= - 3
- 6b= - 3 + 18
- 6b= 15
b= - 15/6
b= - 5/2
Answer:
x(x+4) = 21, or x²+4x-21 = 0
Step-by-step explanation:
The linear model below shows the number of gallons of gas remaining in Sierra's car after she has driven x miles.
According to the model, how many gallons of gas does Sierra's car hold on a full tank (when the number of miles driven is zero)?
A. 16
B. 19
C. 15
D. 21
Answer:
The answer is 19
Step-by-step explanation:
What is the solution set to 6x – 12 > 30?
Answer:
Inequality Form:
x > 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x can be anything bigger then 7 to make this true.
Given l ||
m
|| n, find the value of x.
m
(4x+16)
n
140°
Answer:
x=31
Step-by-step explanation:
If the lines are parallel then the angle that is the same corner has the same degrees. If all the lines are parallel then 140=4x+16
140-16=4x
124=4x
124÷4=x
31=x
Identify the range of the function shown in the graph.
Answer: [tex]-1 \le y \le 1[/tex]
The range is the set of all possible y outputs of a function. The graph shows the smallest possible y value is y = -1, while the largest is y = 1. The value of y can be anything in between.
If you need the range in interval notation, then you would write [-1, 1]. The square brackets indicate we include each endpoint.
Note: This is likely the graph of y = sin(x)
1/9 of 54 bottles of water = ? bottles
Answer:
6
Step-by-step explanation:
If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.
6
Step-by-step explanation:
First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6
Look at pic!!!!hdhsyahvw
a cubic block of ice has a volume of 1,331 inches how tall is the block
Answer:
The answer is 11. 11^3 is 1,331.
Step-by-step explanation:
NP
A,C and D are points on a circle of radius 4 cm, centre o. BA and BC are tangents to the circle. OB=10cm work out the length of arc ADC. give your answer correct to 3 significant figures
Answer:
Step-by-step explanation:
OB = 10 cm
OA = OC = Radius = 4 cm
COS <AB = OA/OB = 4/10 = 2/5 =
COS< COB = OC/OB = 4/10 = 2/5
=> <AOC = <AOB + <COB
=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)
=> <AOC = 2 Cos-¹(2/5)
=> <AOC = 2 * 66.42
=> <AOC = 132.84°
if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm
if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm
Determine whether 3x - xy + 7 = 0 is a linear equation. If it is, write the equation in standard form.
O A linear y = -3x - 7
OB. linear y=-3x + 7
OC linear 3x - xy = -7
OD not linear
Answer:
C
Step-by-step explanation:
6
(-9)
(-9)
What is the answer?
Answer:486
Step-by-step explanation: you just multiply
Please help picture is above.
Answer:
-2
Step-by-step explanation:
Substitute in -3 for all x values and solve
IF f(x) = -3x – 2; FIND f(3)
Your answer
IT fill
TATT
Answer:
f(3) = -3(3) - 2
Step-by-step explanation:
3f = -3 x 3 -2
3f = -9 - 2
3f = -11
f = 3.6 (rounded)
Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Write an expression that correctly applies the the distributive property to show two equivalent expressions for the number of bags of soil he bought. (hint: Find GCF to help apply distributive property)
Answer:
[tex] 49 + 28 = 7(7 + 4) [/tex]
Step-by-step explanation:
Number of bags bought in one week = 49 bags
Number of bags bought the next week = 28 bags
Number of bags bought is [tex] 49 + 28 [/tex]
To express this using the distributive property, look for the greatest common factor of 49 and 28. Factor it out to get an expression.
Thus:
The factor 7 can go into 49 and 28. Factor out 7.
Therefore, we would have:
[tex] 49 + 28 = 7(7 + 4) [/tex]
An anthill has a volume of 8792 mm3 of dirt. Its radius is 20 mm. How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the
slant height, s, of the cone.) Answer the questions to find out.
Answer:
The slope is 29 mm.
Step-by-step explanation:
What we know:
The radius of this cone is 20 mm, and the height is 21mm
s = √r^2 + h^2
s = √20^2 + 21^2
s = √400 + 441
s = √841
s = 29 mm
The slant height of the cone is required,
The ant would have to crawl [tex]29\ \text{mm}[/tex]
Volume of coneV = Volume of cone = [tex]8792\ \text{mm}^3[/tex]
r = Radius of cone = 20 mm
h = Height
s = Slant height.
Volume of a cone is given by
[tex]V=\dfrac{1}{3}\pi r^2h\\\Rightarrow h=\dfrac{3V}{\pi r^2}\\\Rightarrow h=\dfrac{3\times 8792}{3.14\times 20^2}\\\Rightarrow h=21\ \text{mm}[/tex]
From Pythagoras theorem we have
[tex]s=\sqrt{r^2+h^2}\\\Rightarrow s=\sqrt{20^2+21^2}\\\Rightarrow s=29\ \text{mm}[/tex]
Learn more about slant height:
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What do you think makes a rule a function? In math terms.
Answer:
A function is a rule that assigns exactly one output to each possible input. This table does not represent a function.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A function is a rule that assigns EXACTLY ONE output to each possible input. This table DOES NOT represent a function.
Help please! Only answer if you know for sure.
Answer:
c I am 100% sure
Step-by-step explanation:
Find the measure of the missing value in the
pair of similar polygons. (Shapes not drawn to
scale.)
17.5 ft
25 ft
25 ft
w
18 ft
Answer:
12.6
Step-by-step explanation:
The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,
left triangle : right triangle
ratio = 25 : 17.5
The bottom sides are also in the same ratio.
ratio = 18 : w
Write a proportion by setting the ratios equal and solve for w.
25/17.5 = 18/w
Cross multiply.
25w = 17.5 * 18
25w = 315
w = 12.6
Answer: 12.6
Lin and Diego both ran for 10 seconds, each at their own constant speed. Lin ran 40meters and Diego ran 55 meters.
How far did each person move in 1 second?
Answer: 2
Step-by-step explanation:
what negative angle is equivalent to a 75 angle
Answer: it’s actually -285
Step-by-step explanation: took test
The negative angle equivalent to a 75 angle is -285 angle.
We are given a 75 angle and we need to find a negative angle that is equivalent to the 75 angle.
What is a negative angle?A negative angle is defined as an angle generated in a clockwise direction from its given base.
We have a 75 angle which is in an anti-clockwise direction from the base AB as shown in the figure.
Now we will draw an angle in a clockwise direction from the base AB such that the angle reaches angle 75 which means it is equivalent to angle 75
We have,
Adding the angle from base AB till angle 75.
90° + 90° + 90° + 15° = 285°
Since the angle is measured in a clockwise direction we have,
285° = - 285°
The negative angle equivalent to a 75 angle is -285 angle.
Learn more about negative angles here:
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