please view the img above for the question ^^
Answer:
2
Step-by-step explanation:
because resetting the graph means it has to be a reflection
Write the equation of a parabola that has a vertex of (-2,5.5) and passes through the point (-2.5,2.5).
The equation of a parabola that has a vertex of (-2, 5.5) and passes through the point (-2.5, 2.5) is [tex]y=-12(x+2)^2+5.5[/tex]
The vertex form of the equation of a parabola is:
[tex]y=a(x-h)^2+k[/tex]
where (h, k) is the vertex of the parabola
(x, y) is the point that the parabola passes through
The vertex, (h, k) = (-2, 5.5)
The point, (x, y) = (-2.5, 2.5)
Substitute h = -2, k = 5.5, x = -2.5, and y = 2.5 into the equation to solve for a.
[tex]2.5=a(-2.5-(-2))^2+5.5\\\\2.5=a(-2.5+2)^2+5.5\\\\2.5-5.5=a(-2.5+2)^2\\\\-3=a(-0.5)^2\\\\-3=0.25a\\\\a = \frac{-3}{0.25} \\\\a = -12[/tex]
Therefore, the equation of the parabola is:
[tex]y=-12(x-(-2))^2+5.5\\\\y=-12(x+2)^2+5.5[/tex]
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Please help me
The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y. Write any fractions in the simplest form.
When y=45 , x=40 .
y=kx
20=k(12)
k= 20/12 = 5/3
y= (5/3)x
y = 5x/3 or
3y=5x
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
Answer:
I dont but want to.
Hope this helps! :) ;-;
Step-by-step explanation:
Does anyone know how to do this function
Answer:
Step-by-step explanation:
f(x) = 2x + 1
g(x) = ?
h(x) = ln(x)
hgf(x) = ½ln(2x - 3)
All h(x) does is take a natural log of a number, therefore the output
gf(x) = [tex]\sqrt{2x - 3}[/tex]
the change between f(x) and fg(x) is a subtraction of 4 then raising the result to a power of ½.
g(x) = [tex]\sqrt{x - 4}[/tex]
PLEASE HELP I will mark you BRAINLIST
Answer:
Angle B: 180-135=45° - supplementary angle rule
Angle C: 180-45-70=65° - sum of interior angles of triangle is 180
Angle D= Angle B : 45° - Alternate interior angles
Angel E=Angle A: 70° - Alternate interior angle.
Angle F: 180-Angle E(70) = 110° - supplementary angle rule
Step-by-step explanation:
A rectangular garden to contain 3 length segments and 4 width segments. The total amount of fencing required is 24 meters. What is the maximum possible area
Answer:
12 meters sq
Step-by-step explanation:
area= length x width
area= 3x4
area=12 meters sq
f(x)=2x^2-3x+5 and g(x)=x-4,
find (f+g)(x)
Answer:
2x^3-2x^2+x
Step-by-step explanation:
Just trust me!
how is 7 square root 2 is equal to 49?
Answer:
Square root is how many times your multiply the number by itself. So 7 square root 2 is 7x7 which is 49.
Complete the equation of the line whose y-intercept is (0,-1) and slope of 4
y=(answer)
Consider the expression 8ab + 3b + 16 - 4a. (a) How many terms are there? (b) How many factors are in the first term? Identify them. (c) Which term is a constant? pls do this fast
a. There are 4 terms in the expression
b. There are 3 factors in the first term.
c. The constant is 16.
8ab + 3b + 16 - 4a
A term is any signed number, a variable, or a constant multiplied by a
variable or variables.
Therefore, the terms are 8ab, 3b, 16, and -4a. The terms are 4 in numbers.
The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.
The term that is a constant is 16
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HELP PLS!! no links !!!
Answer:
the correct answer is b
Step-by-step explanation:
Like and give 5 star rating
Laws involving positive integral exponents to zero & negative integral exponents.
Paul and anthony were asked to simply a^(2)/a^(-7) . Who do you think is correct in simplifying tge given expression? Justify your answer in 3 to 5 sentences.
Answer:
Both are correctStep-by-step explanation:
Paul used the following identities:
[tex]a^{-b}=1/a^b[/tex][tex]a^b*a^c=a^{b+c}[/tex]Anthony used the identity:
[tex]a^b/a^c= a^{b-c}[/tex]It’s for pre college
Answer:
Not a function
Step-by-step explanation:
Mike burns 392 calories when he walks 4 miles how many calories does he burn when he walks 1 mile?
Answer:
Step-by-step explanation:
If mike burns 392 calories when he walks 4 miles then we just need to divide
/ =
Mike burns 98 calories when he walks 1 mile.
What is unitary method?"It is a method of finding the value of a single unit and based on that value, we can find the required value."
For given example,
Mike burns 392 calories when he walks 4 miles.
This means, 4 miles = 392 calories
By using unitary method we find the number of calories he burns when he walks 1 mile.
4 miles = 392 calories
So, 1 mile = 392/4 calories
1 mile = 98 calories
Therefore, Mike burns 98 calories when he walks 1 mile.
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#SPJ2
darlene has a rooftop carrier for her car. She puts 5 items in the carrier
with the following weights, in pounds: 10.4, 13, 8, 112, and 15.7.
3
10
A. Write and evaluate an expression to find the total weight of the
5 items.
Answer:
159.1
Step-by-step explanation:
The expression would be 10.4+13+8+112+15.7, which equals 159.1 which is the total weight.
3.) Write the equation of a quadratic function that is shifted down 4 and horizontally compressed by 1/5
Answer:
[tex]5x^2 - 4[/tex]
Step-by-step explanation:
For shifted down a function you have to follow the next structured:
[tex]f(x) - c[/tex]
In our case is:
[tex]x^2 - 4[/tex]
Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:
[tex]f(cx)[/tex]
In our case is:
[tex]5x^2[/tex]
Maybe you can think, why 5 and not [tex]\frac{1}{5}[/tex] instead?. Well, when you multiply by [tex]\frac{1}{5}[/tex] this dilate or stretch the graft because the output of each value is smaller, example:
[tex]f(x) = x^2\\g(x) = \frac{1}{5} x^2[/tex]
Then evaluate for a number, for example 5:
[tex]f(5) = 25\\g(5) = 5[/tex]
the output of [tex]g(x)[/tex] is 5 steps a far from the answer of [tex]f(x)[/tex] this in a graph is illustrate as a stretching.
So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".
So combine the two transformation and get [tex]5x^2 - 4[/tex]
NEED HELP!! THANK YOU
Answer:
Expression: -7 + 8f - 2b - f + 3b + 6
# of Terms: 6
Like Terms: 8f and f, -2b and 3b, and -7 and 6
Coefficients: 8, 1, -2, and 3
Constants: -7 and 6
Expression: -11x + 4 + 8x - 4 + 3x
# of Terms: 5
Like Terms: -11x, 8x, and 3x & 4 and -4
Coefficients: -11, 8, and 3
Constants: 4 and -4
Step-by-step explanation:
The coefficient is the number in front of the variable.
The variable is any letter that you may see in an expression.
Terms are the numbers and variables, that are separated by the different signs.
Like terms are the terms that share the same variable/exponent.
Constants are the terms without variables.
Hope this helps you :)
Sorry if it's somehow wrong.
Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses
absorption costing
Sales price
$ 57.50 per unit
Direct materials
$ 10.50 per unit
Direct labor
$ 8.00 per unit
Variable overhead
$ 12.50 per unit
Fixed overhead
$ 1,237,500 per year
1. Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced and
75,000 units are sold.
2. By how much would the company's gross profit increase or decrease from producing 35,000 more units than it sells?
Answer is complete but not entirely correct.
Complete this question by entering your answers in the tabs below.
Required 1
Required 2
Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced
and 75,000 units are sold.
(a) 75,000 Units (b) 110,000 Units
Produced and
Produced and
75,000 Units Sold 75,000 Units Sold
Sales
4,312,500
4,312,500
The gross income or profit of the company is the difference between the
total revenue and the cost of items produced.
The values for the gross profits are;
(a) $750,000(b) $ -335,0002. The profit of the would decrease by $1,085,000Reasons:
The gross profit is given by the equation;
Gross profit = Net revenue - Cost of items sold
The net revenue for 75,000 units = $57.50 × Sales price per unit
∴ The net revenue for 75,000 units = $57.50 × 75,000 = $4,312,500
Cost of production = 75,000 × Per unit cost of Materials plus Labor plus variable overhead + Fixed overhead
Cost of production = 75,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 3,562,500
The cost of producing 75,00 units per year = $3,562,500
Gross profit = $4,312,500 - $3,562,500 = $750,000
(b) When the number of units produced = 110,000, we have;
Cost of production = 110,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 4,647,500
Gross profit = $4,312,500 - $4,647,500 = $ -335,000 (a loss of 335,000)
2. By producing 35,000 units more than it sells, we have;
Cost > Revenue, therefore, the gross profit decreases
Let, X, represent the number of units sold, we have;
The number of units produced = X + 35,000
Which gives;
Cost of production = (X + 35,000) × (10.50 + 8.00 + 12.50) + 1,237,500 =
31·X + 2,322,500
Net revenue = X × 57.50 = 57.50·X
The profit = 57.50·X - (31·X + 2,322,500) = 26.5·X - 2,322,500
When X = 75,000, we have;
Gross profit = 26.5 × 75,000 - 2,322,500 = -335,000
Therefore;
The gross profit will decrease by 750,000 - (-335,000) = 1,085,000
The gross profit of the company will would decrease by $1,085,000, if it
sells 75,000 units and produces 110,000, which is 35,000 more units than
is sells.
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What value is equivalent to 5 + [5 (4 + 2)]?
35
45
60
0110
Help pls thx
Answer:
45 5+[5(4+2)]?
Step-by-step explanation:
i hope is helped:)
*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Subtract. Write your answer in scientific notation.
(5.6×106)–(1.1×106)
Answer:
447
Step-by-step explanation:
If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?
[tex] \rightarrow [/tex] 12.5%
=================================================
Explanation/Solution:To solve, use the formula:
[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]
Solve.
[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2
[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.
[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.
[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.
[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.
[tex] \rightarrow [/tex]x = 12.5
Therefore, the percentage of increase in the item is 12.5%.
how do I make this as simplest form
qns: 5 2/3 + 3 1/10
pls answer
the prod. is 8 23/30
Answer:
That is the final product
Step-by-step explanation:
According to all sites I used, they all said that was in the simplest form and cannot be simplified lower than that.
Mathematics questions are in the image, just answer them and no work included! i'll give brainlist to the most helpful answer!
1. 4
2. 6
3. 10
4. 30
5. 48
6. 55
7. 68
8. 148
9. 102
10. 38
Would appreciate brainly <3
Sabrina has eight boxes of crayons, with ten crayons in each box. She uses twelve crayons. How many crayons does she
have left?
Answer:
68
Step-by-step explanation:
8 boxes. 10 per one box. 8×10=80
80-12= 68
25Y^2/5y-4 + 16/4-5y
Answer:
5Y2y-5y
Step-by-step explanation:
5
Y
2
y
−
5
y
Please answer the 4 questions :)
Step-by-step explanation:
The lines or plains which contain R:
1. Parallel to SP ⇒ segment RQ2. Perpendicular to SP ⇒ segment RS3. Skew to SP ⇒ segment RK4. Plane parallel to KLM ⇒ plane RSPOphira’s insurance company has notified her that her premiums will increase due to a poor insurance score and a recent claim she filed. The recent claim has increased her premiums by 41%, and her poor insurance score will cost her an additional $25 per month. Ophira currently pays $815 per year for insurance. How much will she pay next year?
$1149.15
$1672.15
$1449.00
$1449.15
Answer:
$1449.15
Step-by-step explanation:
currently paying 815
to pay next year: 41% increase + 25 extra per month
⇒ 141%·815 + 12·25
= 1149.15 + 300
= 1449.15
Solve. 3(x-6) - 8x = -2 + 5(2x+1)
Answer: x = -1.4
Step-by-step explanation:
Answer: x = -7/5
Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1) 3x+−8x+−18 = 10x+−2+5 −5x+−18 = 10x+3 −5x−18-10x = 10x+3-10x −15x−18+18 = 3+18 −15x/-15=21/-15 x = -7/5
Lamis purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Lamis paid.
