The functions f and g have the same axis of symmetry, and the y-intercept of f is less than the y-intercept of g.
How to interpret the functions f(x) and g(x)Using the attached figure as a guide, we have the following summary
Graph of f(x)
The y-intercept: y = 5Axis of symmetry: x = 2The x-intercept: x = -1 and x = 5Table of g(x)
The y-intercept: y = 8Axis of symmetry: x = 2The x-intercept cannot be determinedFrom the above summary, we can see that the functions have the same axis of symmetry but different y-intercepts
Read more about quadratic functions at:
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Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2
Answer:
(2, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 5y = 9 → (1)
3x + 4y = 2 → (2)
Multiplying (1) by 4 and (2) by 5 and adding the result will eliminate the y- term
8x - 20y = 36 → (3)
15x + 20y = 10 → (4)
Add (3) and (4) term by term to eliminate y
23x + 0 = 46
23x = 46 ( divide both sides by 23 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (2)
3(2) + 4y = 2
6 + 4y = 2 ( subtract 6 from both sides )
4y = - 4 ( divide both sides by 4 )
y = - 1
solution is (2, - 1 )
Find x. Round to the nearest tenth. Please help with my geometry!! I will have a couple more posted after this also :(
9514 1404 393
Answer:
x = 4.9 cm
Step-by-step explanation:
The product of segment lengths is the same for each chord:
(7 cm)(7 cm) = x(10 cm)
x = (49 cm^2)/(10 cm)
x = 4.9 cm
Amy purchase n notebooks. They were 4 dollars each. Write an equation to represent the total cost C that Amy made.
Great Grizzly Park sells adult tickets at price x and tickets for children 12 and under at price y. The total charge for 3 adults and 4 children is $235. The total charge for 4 adults and 5 children is $305. Which system of equations represents the charge for tickets?
Answer:
answer is J because if we lay out the information we will understand it
The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
We're specified that:
x = price of one ticket for adults (in dollars)y = price of one ticket for children (in dollars)Total charge for 3 adults and 4 children = $235Total charge for 4 adults and 5 children = $305Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= [tex]x + x + x + y + y + y + y = 3x + 4y = 235[/tex] (in dollars)
(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Similarly, we get:
Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= [tex]x + x + x + x + y + y + y + y + y = 4x + 5y = 305[/tex] (in dollars)
Thus, we got a system of equations in x and y as:
[tex]3x + 4y= 235\\4x + 5y = 305[/tex] (Option J)
Learn more about forming equations here:
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Please help..
You buy certain supplies in Nearland. Last year, the currency exchange rate was 1 USD = 3 NRD. Are these supplies more or less expensive to buy now than last year? Explain your answer in complete sentences
Techtopia
(Techtopian dollar, or TPA) 1 USD = 1 TPA
Crosswater
(Crosswatering dollar, or CSW) 1 USD = 20 CSW
Nearland
(Nearlandian dollar, or NRD) 1 USD = 5 NRD
9514 1404 393
Answer:
less expensive
Step-by-step explanation:
If we assume the supplies in Nearland have a constant price of 15 NRD, then the cost in USD last year was ...
(15 NRD)/(3 NRD/(1 USD)) = 5 USD
This year, the cost is ...
(15 NRD)/(5 NRD/(1 USD)) = 3 USD
The cost in terms of USD has gone down.
__
Additional comments
Usually, exchange rates and local prices are related. If the supplies are produced in the US and sold in Nearland, the producer may want to maintain their pricing in terms of USD. That is, a supply that cost 1 USD last year would have been priced at 3 NRD last year. This year, the same supply, for the same 1 USD cost would be priced at 5 NRD. In Nearland, the supplies are more expensive than they were.
The real answer is, "it depends".
Lincoln has a coin collection. He keeps 3 of the coins in his box, which is 5% of the collection. How many total coins are in his collection?
Answer:
3 times 20 equals 60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
is/of = %/100
'x' = # coins
3/x = 5/100
cross-multiply
5x = 300
x = 60
Burger town sells cheeseburger for $7.95 each plus an additional $1.00 for each topping, Which of the following equations vest represents the cost, c , of a cheeseburger?
Answer:
No equations given but the answer is c=1x+7.96
Step-by-step explanation:
Pay the bill using the fewest possible bills/coins
Answers:
Open the pdf below and youll find what you need. also do the largest bills you can.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<YXZ and <TUS
Step-by-step explanation:
An exterior angle is found outside the parallel line. When you have two exterior angles that are opposite each other along the transversal, they are referred to as alternate exterior angles.
Therefore, the only pair of angles from the given options that flare alternate exterior angles are:
<YXZ and <TUS
Pls help me fast i need ittttt
Step-by-step explanation:
where is the question?????
What is the value of 3AB when a equals five and B equals six
3AB = 90
comment for explanation
Answer:
90
Step-by-step explanation:
3AB = 3 (5)(6)
3AB = 3 x 30
3AB = 90
Juan has 2 1/4 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 1/4 yard long. How many bows can Juan make?
Answer:
9 bows
Step-by-step explanation:
Take the amount of ribbon and divide by the amount needed per bow
2 1/4 ÷ 1/4
Change the mixed number to an improper fraction
(2*4 +1)/4 ÷1/4
9/4 ÷1/4
Copy dot flip
9/4 * 4/1
9
9 bows
If x3=125 and y3=8, what is the value of y−x
Answer:
X= 5
Y= 2
Y-X= 2-5= -3
Helppppp I have until 11:30 and it’s 10:36
Answer:
911
Step-by-step explanation:
Now you can get help
In ΔNOP, p = 240 cm, n = 270 cm and ∠O=22°. Find the area of ΔNOP, to the nearest square centimeter.
Answer:
Area≈12137.254≈12137
Step-by-step explanation:
Delta math
Find the distance between the pair of points (2, 3) and (6, 8)
Answer: d=sqrt(41) =6.4031
Step-by-step explanation:
We know that the distance between the two points (x 1 ,y 1 ) and (x 2 ,y 2 ) is
d= sqrt((x2-x1)^2 +(y2-y1)^2 )
as given
x1=2 ,x2=6 ,y1=3 ,y2=8
d=sqrt((6-2)^2+(8-3)^2 )
d= sqrt((4)^2+(5)^2
d=sqrt(16+25)
d=sqrt(41) =6.4031
8. What is the surface area of a square pyramid that has a base of 5 cm and
triangle heights of 8 cm.*
Answer:
105cm squared
Step-by-step explanation:
I put my answer here before, but somehow it got deleted, so I'm typing it again.
A square-based pyramid is made up of one square and four triangles.
We know that one side of the square is 5cm. And since all four sides of the square are the same, we know that the base is 5 x 5.
5 x 5 = 25
Therefore, the area of the base is 25cm squared.
Now, we need to find the area of one triangle. To find the area of a triangle, we multiply the base by the height, then halve it. We know that base of the triangle is 5cm as it shares a side with the square. We also know that the height of the triangle is 8cm.
5 x 8 = 40
40 / 2 = 20
Therefore, the area of one triangle is 20cm squared.
But wait! There are 4 triangles, not just one. Which means we have to multiply the area of one triangle by 4.
4 x 20 = 80
Add everything together:
25 + 80 = 105
Therefore, the total surface area of the square-based pyramid is 105cm squared.
Brainliest for correct answer asap
Answer:
D
Step-by-step explanation:
Angie is creating a stained glass windowpane that will be 5 inches by 6 inches. To make the
rectangular windowpane, Angie fuses together two triangles of colored glass. What is the
perimeter of one triangle? If necessary, round to the nearest tenth.
inches
Answer:
The perimeter of a triangle is equal to 18.81 inches.
Step-by-step explanation:
Since Angie is creating a stained glass windowpane that will be 5 inches by 6 inches, and to make the rectangular windowpane, she fuses together two triangles of colored glass, to determine what is the perimeter of one triangle the following calculation must be performed, taking into account that the Pythagorean theorem must be applied:
5 ^ 2 + 6 ^ 2 = X ^ 2
25 + 36 = X ^ 2
√61 = X
7.81 = X
5 + 6 + 7.81 = X
11 + 7.81 = X
18.81 = X
Therefore, the perimeter of a triangle is equal to 18.81 inches.
NEED HELP IN LESS THAN 5 MINUTES!!!
Sara has taken four math tests so far this year. She has scored a 93, 96, 85, and 87. What score does she have to get on her fifth math test for her mean test score to be AT LEAST a 91.
Answer:
At least a 94
Step-by-step explanation:
HELP MEEE
Colin asked some of his classmates how many minutes they spent working on their math homework last night. He created a dot plot to show his results.
25
5 10 5 20
Amount of Time
(minutes)
What is the range of the data Colin collected?
05
0 20
o 25
11
Answer:
pretty sure its twenty
Step-by-step explanation:
you have to subtract the maximum from the minimum values
so 25-5=20
have a nice day!!!!!!!!
which of the following is equivalent to 19L
Answer:
There are no options to pick
Answer:
19 L= 19000 mL
hope this helps
have a good day :)
Step-by-step explanation:
How many times greater is the value of 7 in 271,461 than the value of 7 in 927,645?
Answer:
3.42 times.
Step-by-step explanation:
We can simply see how many times greater the numbers are from one another.
927,645/271,461 = 3.41723120448 about 3.42 times.
50 POINTS - PLEASE HELP!!!
A supermarket display consists of boxes of cereal. The bottom row has 40 boxes. Each row has three fewer boxes than the row below it. The display has seven rows.
a. Write and use a function to determine how many boxes are in the top row (show your work)
b. Use the appropriate formula to determine the number of boxes in the entire display (show your work)
I think I have the 1st part down:
40+(7-1)x-3
40+(6)x-3
23+(-18)
=5 Number of boxes on the Top Row
Answer: x = 7
Part A: y = (x)3- + 40
22 = 7 x 3- + 40
22 = 21- + 40
40 - 21 = 22
Part A= 22
Part B: x - 3(7) = 7(y) + x
40 + 37 + 34 + 31 + 28 + 25 + 22
Part B: 217
Step-by-step explanation:
Have a nice day.
In rectangle ABCD,If EC=13 find BD
Answer:
[tex]BD = 26\\[/tex]
Step-by-step explanation:
Given
[tex]EC = 13[/tex]
Required
Find [tex]BD[/tex]
In the given rectangle.
AC and BD are the diagonals.
This implies that:
[tex]AC = BD[/tex]
AC is calculated as:
[tex]AC = AE + EC[/tex]
Where
[tex]AE = EC[/tex]
So:
[tex]AC = EC + EC[/tex]
[tex]AC = 13+13[/tex]
[tex]AC = 26[/tex]
Recall that: [tex]AC = BD[/tex]
[tex]BD = 26\\[/tex]
5/8
6 ft
9 ft
Find the area of the shape
Answer:
33.75 or rounded to the nearest tenth: 33.8
PLS HELP ME WITH THIS ITS LIKE DUE IN A FEW HOURS
“you’re friend finds the area of the triangle”
(image above)
“is you’re friend correct”,
EXPLAIN YOU’RE REASON!!!
PLEASE
Answer:
yes
Step-by-step explanation:
Area is 1.2 base * height
the base is 10 and the height is 12
120/2= 60
Malala is following this recipe for bread rolls.
She uses 400 g of flour.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
500 g flour
10 g salt
8 g yeast
30 mL oil
350 mL water
Answer:
Salt = 8 g
Yeast = 6.4 g
Oil =24 ml
Water = 280ml
Step-by-step explanation:
[tex]Salt = \frac{10}{500}*400 = 2*4 = 8[/tex]
[tex]yeast =\frac{8}{500}*400= \frac{32}{5}=6.4[/tex]
[tex]Oil =\frac{30}{500}*400=6*4=24 ml[/tex]
[tex]Water = \frac{350}{500}*400=70*4=280 ml[/tex]
Simplify fully
4x2 + 4x
2x² – 2
Answer:
4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22
22 is the FINAL answer
#carryonlearning
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answer:
Thats easy C:
2 and 3 at the same time
Step-by-step explanation:
3x2=6 or if you dived 6/2=3
Also one thing when doing markup or profit(I think thats how you spell it if not im srry my spelling is very bad lol) you dived it
Have a good day :D