Answer:
[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]
Step-by-step explanation:
Vertex Form of a quadratic equation;
[tex]y = a( x - h )^{2} + k[/tex]
Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;
[tex]y = a ( x + 3 ) ^{2} + 7[/tex]
Now substitute in the given point; ( -1, 9) and solve for a;
[tex]9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7 -7\\2 = 4a\\\frac{1}{2} = a\\[/tex]
Hence the equation in vertex form is;
[tex]y = \frac{1}{2}(x - 3)^{2} + 7[/tex]
In standard form it is;
[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]
Oop please- what rock is this
Answer:
a rock i think
Step-by-step explanation:
its layers and wavy probably claystone or sandstone
This subject is on integers
Answer:
|-8| = 8
Step-by-step explanation:
legit just the opposite of the integer.
Coach leonardo used 9 1/2 meters of string to mark a soccer field for a game. He also used 2 2/5 meters of string to mark a spot where coaches and players will be standing during the game. Which expression could be used to determine the amount of string in meters, coach lenore i used altogether
Answer:
10 19/10 meters
Step-by-step explanation:
Step one:
given data
let the amount of string used for the soccer field be x
and the amount used for coach spot be y
Also, let the total string used be represented as T
Step two:
Hence the expression for the total is
T= x+y
T= 9 1/2+ 2 2/5
T= 9.5+ 2.4
T= 11.9
or
T= 119/10 meters
or
T= 10 19/10 meters
QUICK HELP ME PLEASEEEEEEE. ONLY ONE HOUR LEFT! WILL MARK BRAIN...
Answer:
copy and paste it to math website
Step-by-step explanation:
Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 6.
Answer:
The 6th term will be:
[tex]a_6=\frac{729}{16}[/tex]
Step-by-step explanation:
Given
a₁ = 6common ratio r = 3/2To determine
a₆ = ?
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
substituting a₁ = 6, r = 3/2
[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]
Determining 6th term
substituting n = 6 in the given equation
[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]
[tex]a_6=6\cdot \left(\frac{3}{2}\right)^{6-1}[/tex]
[tex]=6\cdot \frac{3^5}{2^5}[/tex]
[tex]=\frac{3^5\cdot \:6}{2^5}[/tex]
[tex]=\frac{3^5\cdot \:2\cdot \:3}{2^5}[/tex]
Cancel the common term
[tex]=\frac{3^6}{2^4}[/tex]
[tex]=\frac{729}{16}[/tex]
Therefore, the 6th term will be:
[tex]a_6=\frac{729}{16}[/tex]
A student committee is organizing a school dance as a fundraiser. The function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations
I assume you want this explained
Answer and explanation:
If the function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations then x number of tickets is an independent variable here that will determine the total amount of funds raised y(dependent variable)
The y intercept is -320 and the slope is 5
If for example the number of tickets sold = 100 tickets
Total amount of funds using the function :
f(100)= 5×100-320
=500-320
= $180
Answer:
The slope of the function is 5, and it represents the price of each ticket .
Step-by-step explanation:
Is y=-3.5x-10 proportional
Answer: =3.5x Slope:
3.5
y-intercept:
0
Step-by-step explanation:
y=-3.5x-10 is an inverse proportional.
Given that, the given equation is y= -3.5x-10.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Put x=0, 1, 2, 3, and 4 in the given equation.
When x=0
y=-10
When x=1
y=-3.5(1)-10
=-3.5-10
=-13.5
When x=2
y=-3.5(2)-10
=-7-10
=-17
When x=3
y=-3.5(3)-10
=-10.5-10
=-20.5
Here, x increases and y decreases, it is inverse proportionality
Therefore, y=-3.5x-10 is an inverse proportional.
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Eleanor is 12 years younger than mabel. Mabel is 6 years older than izzy. Izzy is twice as old as Patrick. Patrick is 5 years old. What is the combined age of these four people?
Answer:
35
Step-by-step explanation:
E = M - 12
M = 6 + I
I = P x 2
P = 5
I = 10
M = 16
E = 4
(GIVING BRAINLIEST!!)
A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?
A) 1/40 slice
B) 4 slices
C) 20 slices
D) 40 slices
Answer:
D) 40
Step-by-step explanation:
5 pizzas and as saying above 1/8 that means the pizza is being cut into 8 slices and their is 5 pizzas so the answer will be provided by multipling 8 by 5
Answer:
There are 8 slices in =1 box
8*5
=40 slices in all 5 boxes
find the area of the adjoining figure.
please help and find it
i really need it my exam is tomorrow
i will mark you the brainlliast
first lets find Area of triangle bellow
(SRT triangle):
FORMULA: (Base×height)/2
(18×5)/2=90/2=45 cm²
now lets find area of trapezoid (PQSR):
FORMULA: ((base+base)/2)×height
((18+20)/2)×4=19×4=76cm²
now lets add both of the figure's areas to get final answer:
45+76=121 cm²
area of figure is 121cm²
please mark❤️
Help ASAP don't spam please, its about exponents
Answer:
A. FALSE
Step-by-step explanation:
pls mark me as brainliest
Answer: True
Step-by-step explanation:
Jack bought a bag of carrots 1 1/3 lbs of cucumbers, 1 1/6 lbs of celery, the total weight of the vegetables was 4 1/2lbs how much did the bag of carrots weigh
Answer: The answer is 2
Step-by-step explanation:
Aaliyah needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3 hours and charged her $66 for parts. The total was $441. Write and solve an equation which can be used to determine x, the cost of the labor per hour.
Equation:
Answer: I =
Answer:
you should try adding then subtractung the total to the part
On Your Own #2
On a map. 1 cm represents 30 km. Two cities on the map are 2.3 cm apart
How far apart are the actual cities?
2.3 km
13 km
30 km
69 km
Scale 1:20.000 (3.2 inches to 1 mile)
0.25 0.50 0.75 1 kilometre
mile
Key: 1 lbs=.454 kg how many pounds are in 45 kilograms? Help!!! its past due
Answer:
99.12 lbs are in 45 kilograms.
Step-by-step explanation:
❃We can solve using proportion.
[tex] \frac{1 \: lbs}{.454 \: kg} = \frac{x}{ 45 \: kg} \\ \\ \frac{.454x}{.454} = \frac{45}{.454} \\ \\ x = 99.12[/tex]
➼ I rounded to the nearest hundredth
Is 3^2 ⋅ 3^−5 equivalent to 1/3^-3
Answer: No
Step-by-step explanation:
3^2 * 3^-5 = 3^(2+-5) = 3^-3, and 3^-3 is obviously not 1/3^-3.
Hope that helped!
Find a probable next term for the sequence 9,20,39,72,125,204,315
Answer:
464
Step-by-step explanation:
The first term is 9.
The difference between the second and first term = 20 - 9 = 11
The difference between the third and second term = 39 - 20 = 19
The difference between the fourth and third term = 72 - 39 = 33
The difference between the fifth and fourth term = 125 - 72 = 53
The difference between the sixth and fifth term = 204 - 125 = 79
The difference between the seventh and sixth term = 315 - 204 = 111
The differences are 11, 19, 33, 53, 79, 111
From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32
We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32
We get the eight term using:
32 + 6 = 38
let x be the difference between the eight term and the seventh term, hence:
x - 111 = 38
x = 111 + 38
x = 149
Therefore:
eighth term - seventh term = 149
eighth term - 315 = 149
eighth term = 149 + 315
eighth term = 464
The next probable term is 464
Divide. Express each answer as a decimal. 5÷4 4÷5 30÷12 12÷30
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Step-by-step explanation:
Colin gets £x wages each week. After he pays his tax of £t, he
then pays his rent of £120. He shares what's left between
himself and his wife. How much do they each get?
Answer:
They will each get ;
(x-t)/2 - 60
Step-by-step explanation:
Here, we want to know the amount of money that Colin and his wife gets
we start by subtracting the necessary terms
Mathematically, that would be;
x-t-120
So what each of them get will be;
(x-t-120)/2
= (x-t)/2 - 60
1) For a period of time, an island's population grows at a rate of 3.8% per year. If the current
population is 1543, what will the population be in 5.2 years?
Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements:
1. As x increases infinitely, the y-values are continually doubled for each single increase in x.
2. As x decreases infinitely, the y-values are continually halved for each single decrease in x.
She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine’s statements and her conclusion?
Statement 1 is incorrect because the y-values are increased by 2, not doubled.
Statement 2 is incorrect because the y-values are doubled, not halved.
The conclusion is incorrect because the range is limited to the set of integers.
The conclusion is incorrect because the range is limited to the set of positive real numbers.
Answer:
The conclusion is incorrect because the range is limited to the set of positive real numbers.
Step-by-step explanation:
The conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.
What is a function?A relation is a function if it has only One y-value for each x-value.
Statement 1 is actually correct, because as x increases by 1, the value of f(x) = 2x is multiplied by 2.
Therefore, the y-values are indeed doubled for each single increase in x.
Statement 2, however, is incorrect, because as x decreases by 1, the value of f(x) is divided by 2, not halved.
Therefore, the accuracy of Geraldine's statements is mixed.
The range of the function f(x) = 2x includes all positive real numbers, not just integers or positive integers.
Therefore, the conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.
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How do you write 872.8% as a decimal?
Answer:
.82
Step-by-step explanation:
Answer:
8.728
Step-by-step explanation:
"Percent" means "per 100" or "over 100". To convert 872.8% to a decimal rewrite 872.8 percent in terms of per 100 or over 100.
A paint roller, shown below, is used for painting large surfaces.
2in1
9 in
Figure not drawn to scale.
How many square inches does a single rotation of the paint roller cover? (Round to the nearest tenth of a square inch.)
Answer:56.5 in
Step-by-step explanation:
SOMEONE HELP ASAP I HAVE THREE MINUTES PLEASEEEEEEEEEEEEEEEEEE I'LL GIVE BRAINLIEST TO FIRST REAL ANSWER
x + 3y = 18
-X - 4y = -25
Answer:
x = -3
y= 7
Step-by-step explanation:
x + 3y=18 ----(1)
-x - 4y=-25 -----(2)
from equation (1)
x = 18 - 3y ---(3)
putting equation (3) into equation (2)
-(18 - 3y) - 4y = -25
18 + 3y -4y = -25
3y - 4y = -25 - 18
-y = -7
y = 7 ✓
Putting y=7 into equation (1)
x + 3(7) = 18
x + 21 = 18
x = 18 - 21
x = -3 ✓
1) Find
dy/dx
given y^2= x
please help due in 10 mins.
Tides are measured by the heights of the tide above or below sea level. The difference between the two heights represents how much greater the high tide is than the low tide. The table shows the high and low tides and the difference between their heights at each of three locations. Some of the data in the table are missing. Use this information for the problem below.
Answer: Location A: 6.04, since a negative and a negative is a positive. 6.04--1.08=7.12
Location C: 6.9
7.34-0.44=6.9
Step-by-step explanation:
Difference between high tide and low tide at location C is equal to 6.9 and high tide at location A is equal to 6.04
What is high tide and low tide ?Tides originate in the oceans and progress toward the coastlines where they appear as the regular rise and fall of the sea surface. When the highest part, or crest of the wave reaches a particular location, high tide occurs; low tide corresponds to the lowest part of the wave, or its trough.
Given here Difference between high tides and low tides = high tide - low tide
= HT - LT . . . . . . . (1)
thus, Difference between high tide and low tide at location C is = 7.34 -0.44
= 6.9
And high tide at location A is = (Difference between HT & LT) + LT (from eqn 1)
= 7.12 + ( -1.08)
= 6.04
Hence, Difference between high tide and low tide at location C is equal to 6.9 and high tide at location A is equal to 6.04
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Liam wants to buy a Nintendo Switch. The Switch costs $350 plus tax. He has $380. If tax is 9%, will he have enough to buy the Switch?
Step-by-step explanation:
I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00
Answer:
No
Step-by-step explanation:
Switch=$350 + tax = ???
Liam's Money= $380
350*9/100=tax
tax=$31.50
350+31.50=$381.50
that's how much he would need to pay: 381.50
so:
no he won't have enough money. he's 1.50 short
Item 6
Graph the solution of 4(7−x)<16.
Answer:
x>3
Step-by-step explanation:
4 • (7 - x) - 16 < 0
3.1 Pull out like factors :
12 - 4x = -4 • (x - 3)
-4 • (x - 3) < 0
4.1 Divide both sides by -4
4.2 Add 3 to both sides
x > 3
4.3 Inequality plot for
-4.000 X + 12.000 > 0
What is 15.2 m to mm
Answer:
15200mm
Step-by-step explanation:
I just asked googl
Answer:
15.2m is 15200mm
Step-by-step explanation:
you multiply or divide the original number by however many tens places the other measurement is away. So, 15.2(m) is 3 tens places away from (mm) so you would multiply 15.2(m) by 1000 (15.2 x 1000) and you would get 15200