Step-by-step explanation:
Since the equation is in vertex form: a(x - h)² + k, we immediately know that the vertex is at (2, 5).
x | y
0 | 13
1 | 7
2 | 5
3 | 7
4 | 13
Answer:
Step-by-step explanation:
Comparing the given g(x) = 2(x - 2) ^ 2 + 5 to h(x) = a(x - h)^2 + k, we see that h = 2, k = 5, a = 2. Thus, the vertex is at (2,5). Several sample points on this graph are:
x y = g(x) (x, y)
2 5 (2, 5)
0 2(0-2)^2)+ 5 (0, 13)
1 2(1-2)^2 + 5 (1, 7)
3 2(3-2)^2 + 5 (3, 7)
and so on. Plot these are several more points and then draw a smooth curve through them. The graph will be a parabola with vertex (2, 5) that opens up.
Urgent please help..
Answer:
147cm2
Step-by-step explanation:
area of a circle=πr2
=3*7*7
=147cm2
help guys I would appreciate
Answer:
4 + 8
12 >= 12
TRUE
Becuase 12 equals 12
Step-by-step explanation:
After taxes, Darius made $18,518.50 for winning the national fortnite competition. If taxes were 50% how much did Darius win
Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay?
Answer:
$6.37
Step-by-step explanation:
Jane and 3 friends = Jane + another 3 people
= 4 people in total
Total Cost of pizza = $25.48
If 4 people split $25.48 evenly,
Amount each friend has to pay = Total Cost of pizza/Total number of people
= $25.48/4
= $6.37 per friend
Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them
Solve for x in the diagram
A)38
B)16
C)20
D)42
Answer:
D) 42
Step-by-step explanation:
48 x 2= 96
180 - 96 = 84
84/2 = 42
Are You Ready For More?
A loaf of bread is cut into slices.
1. If each slice is 1/2 of a loaf, how many slices are there?
:
2. If each slice is 1/5 of a loaf, how many slices are there?
:
3. What happens to the number of slices as each slice gets smaller?
:
1. There would be 2 slices as the denominator is 2.
2. There would be 5 slices as the denominator is 5.
3. As each slice gets smaller, the denominator gets bigger, because the bigger the denominator is, the more pieces it needs to make a whole.
Hope this helps :)
There are 2 pieces if each slice is 1/2 of a loaf, and 5 pieces if each slice is 1/5 of a loaf, and the total number of pieces get increases if each slice gets smaller.
What are fractions on number lines?When fractions are represented on a number line, we can plot them on a number line just like we can with whole numbers and integers. Parts of a whole are represented by fractions. In order to depict fractions on a number line, equal pieces of a whole are divided.
Given A loaf of bread is cut into slices.
1. If each slice is 1/2 of a loaf, how many slices are there,
here slices are 1/2 of the loaf so the loaf is divided into two equal parts,
1/2 + 1/2 = 1
2. If each slice is 1/5 of a loaf, how many slices are there,
here loaf has 5 equal parts,
1/5 + 1/5 + 1/5 +1/5 + 1/5 = 1 loaf
3. What happens to the number of slices as each slice gets smaller?
the value of the denominator in fraction goes on increasing and since the value is increasing the number of slices also gets increases.
Hence there are 2 pieces for 1/2 of the loaf,
5 pieces for 1/5 of the loaf,
and the number of slices increases when each slice gets smaller.
Learn more about fractions on number lines;
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Which graph shows the relationship between the number of tigers and the total number of square feet of space?
Answer:
Graph A shows the relationship between the number of tigers and the total number of square feet of space as expressed in the equation.
Step-by-step explanation:
Answer: Graph A shows the relationship between the number of tigers and the total number of square feet of space and here is my proof.
Step-by-step explanation: square feet is supposed to be in the thousands and graph A is one of the only ones that show that. Also the number of tigers are ofc single numbers so that makes the numbers below 1,2,3,4, and 5 and the numbers for square feet are 1,000, 2,000, 3,000, 4,000, and 5,000. For more proof the pictures below explain the answer.
in a bag of marbles 4 are
blue. 5 are white, and 11 are
red. What is the probability of
NOT drawing a red?
Answer:
3/4 or a 75%
Step-by-step explanation:
A school hall costs £200 to hire.
Parents get a 10% discount.
30 parents share the cost equally.
How much does each parent pay
Answer:
£6
Step-by-step explanation:
The computation of the each parent pay is shown below;
But before that the cost of hall after considering the discount is
= £200 - 10% of £200
= £200 - £20
= £180
Now there are 30 parents
So each parent pay is
= £180 ÷ 30 parents
= £6
Adam and Katy both receive a bonus.
Adam receives 30% of £80
Katy receives £28
Work out the difference between the bonus Adam gets and the bonus Katy gets.
Step-by-step explanation:
Adam's bonus
30/100= 0.3
0.3 *80=24
therefore Adam's bonus is £24
since Katy bonus is £28
The difference between the bonus Adam gets and the bonus Katy gets
£28 -£24 =£4
What is the reference angle or quadrantal angle of sin330°?
Answer:
-1/2
Step-by-step explanation:
Exact form:-1/2
Decimal form: -0.5
Hope that helps.
If it is correct please click on the crown (only if my answer is correct)
Thank you
19NBoli
Which situation is modeled by the graph?
Height
Time
Answer:23
Step-by-step explanation:
–1+–10+–10–5z
answer
now
please-
Answer:
−5z−21
Step-by-step explanation:
If factored it is :-5z-21
Answer:
-21-5z
Step-by-step explanation:
-1+(-10)+(-10)-5z
-1-10-10-5z
-1-20-5z
-21-5z
k+ 6 ≥ 19, if k = 11
Answer:
Then it would be the other way around 19 ≥ k + 6
Wait for more responses if needed.
The given Inequality is correct when 19 ≥ k + 6.
What is inequality?Inequality compares "two values, showing if one is less than, greater than, or simply not equal to another one".
Given k + 6 ≥ 19 if k = 11
11 + 6 ≥ 19 substitute k = 11
17 ≥ 19 here Inequality is False.
Hence, 19 ≥ k + 6.
To learn more about Inequality here
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A group of workers can plant 2/5 acres in days.3/4 What is the unit rate in acres per day?
Answer:
8/15
Step-by-step explanation:
Unit rate is 8 / 15 acres per day.
What is work?
"Work is defined as when force is applied on an object and it gets move in particular direction."
According to the question,
Group of workers plant 2/ 5 acres in 3 /4 days
3 / 4 days = 2/ 5 acres
1 day = [tex]\frac{2}{5}[/tex] × [tex]\frac{4}{3}[/tex]
⇒ 1 day = 8 / 15 acres
Hence, Unit rate is 8 / 15 acres per day.
Learn more about work here
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please help and explain
Answer:
Step-by-step explanation:
Fraction of surveyed women who voted for football = 25/72
Percentage = [tex]\frac{25}{72}*100 = \frac{25}{18}*25[/tex]
[tex]=\frac{625}{18} = 34.72[/tex]
= 35%
Which scenario is best represented by a linear function?
A
The area of a square, A, where the length of each side of the square is represented by
S (A= s?)
The perimeter of a square, P, where the length of each side of the square is
B represented by s
(P = 4s)
The surface area of a cube, A, where the length of each side of the cube is
C represented by s
(A = 6s )
The volume of a cube, V, where the length of each side of the cube is represented by
s(V = $)
Answer:
P=6sStep-by-step explanation:
to understand thisyou need to know about:linear functiontips and formulas:a linear function is function with two variables one dependent another one is independentlet's solve:since we can see what linear function is
the second condition is the best fit
The perimeter of a square, P, where the length of each side of the square is B represented by s(P = 4s)therefore
our answer is b
I don't know why I keep getting 93 ft but it says it's wrong...
Find the perimeter of the figure.
Answer:
Your answer is 84.
9+9+9+9+9+9 (9x6) +30. 9x6 is 54 so then, you'd have to do 54+30 to get 84.
~Sophia
Answer:
96 ft
Step-by-step explanation:
9 + 9 + 9 + 9 + 12 + 9 + 9 + 30 = 96 ft
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proofs.
Given: Points R, S, T, Q on circle O
Prove: mRS + mST + mTQ = mRQ
Answer:
Match the number of statement with the same number of reasons.
Step-by-step explanation:
Here are the statements
1.
Points R, S, T, Q on circle O
2.
measure of RS+ST=RT
measure of RT+TQ=RQ
3.RS+ST+TQ=RQ
Here are the reasons
1.Given
2. Arc Addition
3. Subsitution
Write a summary of how to get the area of a parallelogram.
Answer:
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
I hope it's helpful!
Express the product of (2x+5/2) and (x-1) as a trinomial in simplest form
Answer:
[tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
[tex]\displaystyle (2x + \frac{5}{2})(x - 1)[/tex]
Step 2: Expand
[Trinomial] FOIL: [tex]\displaystyle 2x^2 - 2x + \frac{5}{2}x - \frac{5}{2}[/tex][Trinomial] Combine like terms: [tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]Renee bought 6 tickets to a football game. She paid a total of $216. Write an equation to represent the situation
Answer:
6 × 36 = 216
Step-by-step explanation:
one ticket price: 216 ÷ 6 = $36
How would you solve for this problem. The line is parallel to the line y=1/2x +5 and passes through (2,-5).
Answer:
is 5.8
Step-by-step explanation:
i do it in a calculador so is 5.5
Answer: y=1/2x+5 because it passes through 2,-5 and is parallel to y=1/2x+5
Which is true about the position of A on the number line?
A. It is less than -1
B. It is greater than 0
C. It is less than -8/3
D. It is greater than 3/4
IM RELLY DONE I DONT UNDERSTAND THIS
And answer is not (-5.-2) e.t.c
PLS HELP
Answer: -5, 1: -5, 2: -8, 1
Step-by-step explanation: Just flip it on the other side
Answer:
(2,5)
(1,5)
(1,8)
Step-by-step explanation:
The reflection line y = x does the following to the coordinates:
(x , y) --> (y , x)
The coordinates swap places.
(5,2) --> (2,5)
(5,1) --> (1,5)
(8,1) --> (1,8)
I BET NO ONE KNOWS THIS Place a checkmark next to each answer choice that describes a situation in which economic indicators might be helpful. ALL THAT APPLY
A. A business is trying to design the packaging for a new product.
B. A company is considering expanding and building more factories.
C. A college student is writing a paper on current economic trends.
D. A contractor is trying to decide which of two designers to hire to decorate his
model homes.
E. A recent college graduate is trying to decide what type of business to start.
F. The U.S. government is trying to determine how involved they should be in the
economy in 2016.
Answer:
E, F, B, and C
Step-by-step explanation:
Im just learning about these kind of things and this is a challenging question not going to lie.
I chose B because expanding and building more factories is apart of economics. You need more land to expand your business, but this will also affect the economy.
C seems like a good answer also because writing about economic trends is an important thing in economics. This also helps others learn out the economy and what not to do and what to do to help make our environment a better place.
I chose E because starting a business is apart of economics. A lot of business are apart of economic systems and help money come into our economy.
F is a good answer for me because the U.S government has been apart of America's economic system for a long time just like they are involved with everything else. The government is a big help and a big part of our economy, especially for america.
write down the rational number
whose numerator = 8 , denominator = 9
Answer:
8/9
Step-by-step explanation:
8 numerator
______________
9 denominator
Can someone help me find the gradient for this graph
100 points ! What is the area of the following composite figure? All angles are right angles.
24 m^ 2
27 m ^2
29 m^ 2
22 m^ 2
Answer:
24m²
Step-by-step explanation:
..,.................
Area = 5*4+2*1+2*1
Area = 20+2+2
Area = 24m²
Answer:
24 m^2
Step-by-step explanation:
We need to study the structure well
We can find the magnitude of the big rectangle. We will need to find the total length and total breadth of the big rectangle
Then we remove the area of the four squared cut out from the big rectangle.
Total length of the rectangle is 5+1+1=7m
Then the length of the breath of the rectangle is 2+1+1=4m
So area of rectangle is given as length × breadth
Area= l×b
Area=7×4=28m²
Area of the big rectangle is 28m²
Then the squared is made of dimension 1m by 1m
Area of a square is s²
Then, a=1m
Area of the square= 1²=1m²
There are four squared side
Then, the total area of the four squared is 4×1=4m²
Then the required area is
Area=Total area - area of four squared side
Area=28m²-4m²
Area =24m²
Area of the figure is 24m²
The correct option is A.
Solve for X. assume that lines Which appear tangent are tangent.
Answer:
x = 4, x = 8
Step-by-step explanation:
(9)
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
x(x + 6) = 5(5 + 3)
x² + 6x = 5 × 8 = 40 ( subtract 40 from both sides )
x² + 6x - 40 = 0 ← in standard form
(x + 10)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 10 = 0 ⇒ x = - 10
x - 4 = 0 ⇒ x = 4
x > 0 then x = 4
(11)
Given a secant and a tangent from an external point to the circle, then
The square of the tangent is equal to the product of the external part and the whole of the secant, that is
x(x + 10) = 12²
x² + 10x = 144 ( subtract 144 from both sides )
x² + 10x - 144 = 0 ← in standard form
(x + 18)(x - 8) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 18 = 0 ⇒ x = - 18
x - 8 = 0 ⇒ x = 8
x > 0 then x = 8