Function that models the situation is f(x) = 1/2(x-6)²+2.
What is a parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
Given parabola is of concave upward type.
So, the parabola will be of form f(x)=p(x-q)²+r....(1)
As vertices of parabola are (6,2)
So, we can put q=6 and r =2 in (1)
So, (1) becomes f(x) = p(x-6)²+2.....(2)
The y-intercept of the parabola is 20
This means, (2) becomes 20 = p(0-6)²+2
i.e. p = 1/2
So, function will be f(x) = 1/2(x-6)²+2
Therefore, function that models the situation is f(x) = 1/2(x-6)²+2.
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Which numbers can be added to 4.89 × 10–16 without having to rewrite one of them first? Check all that apply.
Answer:
A,B,E
Step-by-step explanation:
HELP PLEASE. BRAINIEST
d + 3n = 1 can someone help?
Answer: n = (1 - d) / 3
Step-by-step explanation: We are given with the equation d + 3n = 1 and asked to solve for n in the problem. the first step is to apply subtraction property by subtracting d to each side of the equation. Hence 3 n = 1 - d. next, we use division property by dividing the whole equation by 3.
what is the area of this polygon 5in 6in 7in 8in
What is 4(-5z+2)+(-6)
Answer:
-20z + 2
Step-by-step explanation:
4(-5z + 2) + (-6) =
= -20z + 8 - 6
= -20z + 2
NEED HELP with these two pages please help me (30 points)
Answer:
1. B
2. E
3. D
4. B
5. C
6. B
7. E
8. D
9. D
10.D
11. E
Work out the area of this shape. ? cm2
4 cm
9 cm
6 cm
12 cm
Help!!!
Answer:
84 cm^2
Step-by-step explanation:
Area of triangle + area of rectangle
Area of triangle = 1/2*l*b
= 1/2*8*3= 12 cm^2
Area of rectangle = l*b
= 12*6 = 72 cm^2
Total area= 72+12
= 84 cm^2
someone helpp, I don’t know how to solve it nor do I know the answer.
========================================================
Explanation:
For any parallelogram, the diagonals cut each other in half. Formally this is known as bisection.
What this means is that the pieces AE and CE are the same length.
AE = CE
6x-8 = 2x+24
6x-2x = 24+8
4x = 32
x = 32/4
x = 8
Then we can calculate the length of each piece mention
AE = 6x-8 = 6*8-8 = 48-8 = 40CE = 2x+24 = 2*8+24 = 16+24 = 40Both pieces are 40 units long to confirm we have the correct x value.
Therefore,
AC = AE + CE = 40+40 = 80
Two cars raced at a race track. The faster car traveled 20 mph faster than the slower car. In the time that the slower car traveled 165 miles, the faster car traveled 225 miles. If the speeds of the cars remained constant, how fast did the slower car travel during the race? Distance (mi) 165 Rate (mph) Time (h) 165 Slower Car Faster Car 225 + 20 225 + 20 55 mph 60 mph 75 mph 130 mph
Answer:
A.
Step-by-step explanation:
t=d/s
The answer is 55 miles
Answer:
55 miles per hour
Step-by-step explanation:
Help with this problem please
Answer:
1 yard = 3 feet
3 × 4 = 12 feet of fabric
12 - 4 = 8
8 - 6 = 2
they will have 2 feet of fabric left over
Evaluate each expression
Answer:
See below.
Step-by-step explanation:
Question 1
a = -2 and x = -6
| a + x | / 2 - | a - x | / 2
| -2 + -6 | / 2 - | -2 + 6 | / 2
| -8 | / 2 - | 4 | / 2
8/2 - 4/2
= 4/2
= 2
Question 2
a = -5, b = 4, c = 1, d = -3
| a - b | - | c + d |
| -5 - 4 | - | 1 - 3 |
| -9 | - | -2 |
= 9 - 2
= 7
A scale model of a volcano is 4 feet tall if the actual height of the volcano is 12,276 feet what is the scale of the model
Answer:
255.75ft/inch
Step-by-step explanation:
s (scale) = 12,276/4
s = 3069 ft
s = 3069/12
s = 255.75
answer.)s=255.75
explanation:
•divide 12,276' by 4'
•3069'/1'
• 1'=12"
• 3069' divided by 12"
•255.75
If 1400 = 100% what is 40% of it
Answer:
560 is 40% of 1,400
Step-by-step explanation:
40 x 1400/ 100 = 560
560/1400 = 40%
25 points
Tyler has a container that is the shape of a cube. He uses 64 cubes with
side lengths of 1 in to completely fill the container. What is the edge?
Answer:
x*x=64
x= 8
Step-by-step explanation:
this means that the area is 64 in more than 2
A salad dressing mixture of vinegar and oil is supposed to contain
V
ounces of vinegar for every cup of oil.
Which coordinate is represented on the graph?
Answer: where is the graph
Step-by-step explanation:
i cant help if there is no graph
Ms. Spencer is packing orders for her bath supply business. One customer ordered 8 bath fizzies and 4 jars of sugar scrub. Each bath fizzy weighs 5 ounces, and each jar of sugar scrub weighs 1.5 pounds. How many pounds does this customer's entire order weigh?
If 360 birr is divided among three people in the ratio 3:4:5,find the share of each person?
plsss i will make brainlist if its correct answer
Answer:
the first gets =90birr
the second gets =120birr
the third gets =150birr
90+120+150=360birr
I hope you got your answer.
Z What is the value of x? 45° ni (2x - 5)
FIRST ANSWER GETS CROWNED BRAINLIEST!!!
Andrea and Felix collected 48 signatures for a petition. Felix collected one-third as many signatures as Andrea did. How many signatures did Andrea collect?
Please answer with the formula :)
Answer:
16 signatures
Step-by-step explanation:
48/3 = 16
16 x 2 = 32
One-third of 48 is 16. So if Felix collected one-third and Andrea collected two-thirds, then Felix had 16 signatures and Andrea had 32 signatures.
Answer:
16
Step-by-step explanation:
48/3 = 16
16 x 2 = 32
1/3 of 48 is 16. if Felix collected 1/3 and Andrea collected 2/3, then Felix got 16 signatures
What is the value of g(3) ?
Answer:3
Step-by-step explanation:
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The value of g(3) is 3
What is a function?A function from a set X to a set Y assigns to each element of X exactly one element of Y.
We need to find the value of g(3).
From the question, we have
g(x)= x-1, -2≤x<-1
g(x)= 2x+3, -1≤x<3
g(x)= 6-x, x≥3
The value 3 is in the function g(x)=6-x
When x is 3
g(3)=6-3
Subtract 3 from 6.
g(3)=3
Therefore value of function g(3) is 3.
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The approximate total surface area of Earth is 5.1 × 10^8 km2. All the salt water on Earth has an approximate surface area of 352,000,000 km2, and all the freshwater on Earth has an approximate surface area of 9 × 10^6 km2. How much of Earth's surface is covered by water, including both salt and fresh water? Write your answer in scientific notation.Single line text.
Answer:
3.61x10^8km^2Step-by-step explanation:
In this problem, we are expected to solve for the total area covered by water, by addition of scientific notation
Given data
Area covered by salt water= 352,000,000 km2
Area covered by fresh water= 9 × 10^6 km2=9,000,000
Earth's surface is covered by water= 352,000,000 +9,000,000
Earth's surface is covered by water= 361000000
In scientific notation it is 3.61x10^8km^2
100 - 4x = 20 + 6x; x=
Answer:
8 = x
Step-by-step explanation:
100 - 4x = 20 + 6x
100 = 20 + 10x
80 = 10x
8 = x
What is the surface area of the solid?
A. 180 square centimeters
B. 232 square centimeters
C. 236 square centimeters
D. 212 square centimeters
E PREVIOUS
Answer:
D
Step-by-step explanation:
4x5+4×12+12×6×2=212
Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y=-10 when x=2
Answer: Suppose y varies directly with x. Write a direct variation equation that relates x and y.
Step-by-step explanation:
Answer is y = -5x
The equation for y varies directly with x is, y = - 5x.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, y varies directly with x.
Therefore,
y ∝ x.
y = kx, where k is the proportionality constant.
At y = - 10 when x = 2.
- 10 = 2k.
k = - 5.
So, y = - 5x.
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State if the two triangles are congruent. If they are, state how you know.
Answer:
A
Step-by-step explanation:
All sizes are equal and the all corresponding angles are also equal
What is SCIENTIFIC NOTATION?
A. A short way to write really long numbers
B. A long way to write really short numbers
C. I don't know...
D. None of the above
The answer to this is A.
Which of the following is an arithmetic sequence?
Answer:
the third one is the correct answer
Jenna made 2 times as many
bracelets as Meghan. Jenna made
14 bracelets. Which equation represents
the number of bracelets Meghan made?
Answer:
2x=14
Step-by-step explanation:
Meghan= x
2x=14
2x/2=14/2
x=7
Which ordered pair fits the function h(x) = x2 + 2? a (-3, -7) b (-2, -2) c (2, 4) d (3, 11)
Answer:??????
Step-by-step explanation:
Answer:
d (3,11)
Step-by-step explanation:
On the real number line the origin is assigned the number ___.
Answer:
0
Step-by-step explanation:
The points on a number line are called coordinates. The zero point is called the origin. The numbers to the right of the origin are positive numbers; the numbers to the left of the origin are negative numbers.
Answer:
0
Step-by-step explanation: