Answer:79
Step-by-step explanation:
If g(x) =2x^2-4 and g(x)=10 find .g(-8)
Functions are written in terms of variables. The value of the function when x is -8 is 124
Functions and valuesFunctions are written in terms of variables. Given the function below;
g(x) = 2x^2 - 4
If the value of x is -8, substiute
g(-8) = 2(-8)^2 -4
g(-8) = 2(64) - 4
g(-8) = 124
Hence the value of the function when x is -8 is 124
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Where is point a on the number line?
Answer:
The point A is on 2.5 on the number line.
Step-by-step explanation:
In order to find this answer you need to find where the point labeled A is to have a starting point. Secondly, what two numbers is the point located between or closer to? In this case the point is right between 2 and 3. Which would be a half of a number. So, because the point is located between 2 and 3 we would say that it is 2.5 or 2 and 1/2 because the number on the left of the point is usually a whole number. So, that would be on how you get 2 and 1/2.
Which angle is congruent to 7? Select all that apply
Answer:
angles 5, 1, and 3
What is the median of this set of data? 1,2,5,6,9
Answer: 5
Step-by-step explanation:
The median is the middle number in the set.
{1, 2, 5, 6, 9} - there are five numbers.
The middle number is the 3rd one.
{1, 2, 5, 6, 9}
The median is 5.
What is the value of this expression?
(5 3)
0512
0 5¹
05-¹
057
Answer:
a
Step-by-step explanation:
Dilations: Triangle RST with vertices R(-5,1), S(-3,4), and T(2,-1): k=2
Answer:R’ (-10,2) S’(-6,8) T’(4,-2)
Step-by-step explanation:
Did it in class
After dilation of ΔRST with the given scale factor we have vertices of ΔR'S'T' as R'(-10, 2), S'(-6, 8) and T'(4, -2).
Given that, ΔRST with vertices R(-5,1), S(-3,4), and T(2,-1).
What is a dilation?Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.
Given, scale factor is k=2.
So, with using scale factor
R(-5,1)→2(-5, 1)= R'(-10, 2)
S(-3,4)→2(-3,4)=S'(-6, 8)
T(2,-1)→2(2,-1)=T'(4, -2)
Therefore, after dilation of ΔRST with the given scale factor we have vertices of ΔR'S'T' as R'(-10, 2), S'(-6, 8) and T'(4, -2).
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Solve for x: y=mx+b
Answer:
x = (y - b)/m
Step-by-step explanation:
Step 1: Write slope-intercept form
y = mx + b
Step 2: Solve for x
Subtract b on both sides: y - b = mxDivide both sides by m: (y - b)/m = xRewrite: x = (y - b)/mAnswer:
OKay thank you ao muchhh
Step-by-step explanation:
John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?
Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:
10x + 5y ≥ 500 (minimum 500 units of vitamins)
5x + 10y ≥ 600 (minimum 600 units of minerals)
15x + 15y ≥ 1200 (minimum 1200 calories)
We want to minimize the cost, which is given by:
0.5x + 0.4y
This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:
10x + 5y = 500
5x + 10y = 600
15x + 15y = 1200
Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.
Next, we can calculate the value of the cost function at each corner point of the feasible region:
Corner point A: (20, 40) -> Cost = 20
Corner point B: (40, 25) -> Cost = 25
Corner point C: (60, 0) -> Cost = 30
Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.
What we should do now to 136 x 27 = 3672, to get back to 1.36 x 2.7.
Use your answer to explain the placement of the decimal point in 1.36 x 2.7.
Answer:
Step-by-step explanation:
8.008.009
Find the value of (f o g)' at the given value.
To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.
To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.
What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).
What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.
To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value
step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)
Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)
Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11
Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)
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There are 63 pairs of scissors in the classroom supply closet. The number of glue sticks in the supply closet is 72. David says that means the ratio of the number of pairs of scissors to the number of glue sticks is 7:9. Is David correct?
Answer:
Why yes he is
Step-by-step explanation:
David is the reincarnation of Albert Einstein and so has achieved the knowledge of all the great minds. Therefore he is correct
Millie has 2 apples, If millie picks 158 more, How many apples does millie have in all.
Answer:
160 APPLES
Step-by-step explanation: I WISH U ALL THE BEST IN EVERY OF YOURS
PLS MARK AS BRAINLIEST.
Answer:
160 apples
Step-by-step explanation:
1a)Due to the fuel scarcity in Japan the cost of a phone rises from 4500Naira to 5500 find the increment in price = (1b)Use the information above to find the percentage increase in price = (2) The discount of 10% was given to a customer and she paid 3,000Naira for an article, find the marked price = (3) 30 crates of eggs was bought by a distributor at 30 Naira each, she was given a commission of 4% on a crate. How much commission did she get ? = (4) A dealer sells articles worth 49000 Naira and get a commission of 7% calculate his commission = (5) A dealer wanted to buy an article for Naira39.28kobo,but the marketed price for the article is Naira44.48kobo. How much discount did the customer request for? = (6) A trader appealed to buy an article for 225.00Naira but the marketed price for the article is 245.00 Naira what percent of discount did the trader request for ? = (7) Am agent was given a commission of 3% on a house he sold for 33.00Naira . How much commission did the agent get ? = (8) A company increases the salary of all employees by 5% of their salaries. If an employee earns 250Naira a month what is his new salary ? = (9) A man gives a discount of 5% on the fridge he bought for 55.00Naira. Find the marketed price of the fridge.= (10) A trader demanded a discount of 55.00Naira ok the goods she bought for 845.00Naira . What is the marketed price and the percentage discount ? =.
Answer:
1a) Increment in price = 5500 - 4500 = 1000 Naira
1b) Percentage increase in price = (increment in price / old price) x 100%
= (1000 / 4500) x 100%
= 22.22%
2) Marked price = selling price / (1 - discount percentage)
= 3000 / (1 - 0.1)
= 3333.33 Naira
3) Total cost of 30 crates of eggs = 30 x 30 = 900 Naira
Commission = (4/100) x 900
= 36 Naira
4) Commission = (7/100) x 49000
= 3430 Naira
5) Discount = marked price - selling price
= 44.48 - 39.28
= 5.20 Naira
6) Discount = (245 - 225) / 245 x 100%
= 8.16%
7) Commission = (3/100) x 33
= 0.99 Naira
8) New salary = old salary + 5% of old salary
= 250 + (5/100) x 250
= 262.50 Naira
9) Marketed price = selling price / (1 - discount percentage)
= 55 / (1 - 0.05)
= 57.89 Naira
10) Marketed price = selling price + discount
= 845 + 55
= 900 Naira
Percentage discount = (discount / marked price) x 100%
= (55 / 900) x 100%
= 6.11%
Step-by-step explanation:
Translate the sentence into an inequality.
The product of c and 7 is greater than or equal to 21.
Answer:
7c ≥ 21
Step-by-step explanation:
The inequality is:
7c ≥ 21
Erika drinks at least 40 ounces of water a day
Answer: 40 ounces or 0.3125 of a gallon
i didnt quite understand what you were asking but here is it broken down. :)
Plz help I need help
Answer:
a is 4 because 4 x 16=20 i hope this help
a + 16 = 20
a = ?
a = 20 + 16
a = 36
a = 36 ✔️
the product of two possitive number is blank
Answer:
it is always positive
Step-by-step explanation:
hope it helps
Family A and Family B both have 8 people in their family. The ages of each member is listed below. Which statement is correct about the variability of the two families?Family A: 35,5,42,9,16,3,8,12Family B: 1,5,29,3,7,35,6,9A. The variability is the same for both Family A and Family B because they have the same mean absolute deviation.B. The variability for Family B is greater because the mean absolute deviation is greater for Family B.C. There is not enough information to determine the variability.D. The variability for Family A is greater because the mean absolute deviation is greater for Family A.
Given:
Family A: 35,5,42,9,16,3,8,12
Family B: 1,5,29,3,7,35,6,9
To find the statement which is correct about the variability of the two families:
We know that,
The higher the mean, the higher the variance, and thus the higher the variability.
So, let's find the mean.
Mean for family A is,
\(\begin{gathered} Mean=\frac{35+5+42+9+16+3+8+12}{8} \\ =16.25 \end{gathered}\)Mean for family B,
\(\begin{gathered} \text{Mean}=\frac{1+5+29+3+7+35+6+9}{8} \\ =11.88 \end{gathered}\)Since the mean value of family A is greater than that of family B.
Since the variability of family A is greater than that of family B.
So, the mean absolute deviation for family A is greater than that for family B.
Therefore, the correct option is D.
Refer to the following distribution of commissions:Monthly Commissions Class Frequencies$600 up to $800 3800 up to 1,000 71,000 up to 1,200 111,200 up to 1,400 121,400 up to 1,600 401,600 up to 1,800 241,800 up to 2,000 92,000 up to 2,200 4For the preceding distribution, what is the midpoint of the class with the greatest frequency?O 1,500O 1,700O The midpoint cannot be determined.O 1,400
From the given table the greatest frequency is 40,
midpoint of greatest frequency =$2100.
Relative frequency is also referred to as the empirical probability, which is calculated by the division of each frequency by the total number of frequency in the sample.
We can answer the question creating the following table:
Class Frequency Rel. Frequency
$600-$800 3 3/120=0.025
$800-$1000 7 7/120=0.059
$1000-$1200 11 11/120=0.092
$1200-$1400 22 22/120=0.183
$1400-$1600 40 40/120=0.333
$1600-$1800 24 24/120=0.2
$1800-$2000 9 9/120=0.075
$2000-$2200 4 4/120=0.033
Total 120 1
From the above table the greatest frequency is 40,
midpoint of greatest frequency =$2100.
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A baker has 4 3/4 pounds of cookie dough. He uses 1/16 pound of dough for each cookie. How many cookies can he make? Simplify the answer.
This shows that 76 cookies will be made with the total pounds of cookies
Ratio and proportionFractions are written as a ratio of two integers. Given the following parameters
Total pounds of cookies made = 4 3/4 pounds
Total pounds of cookies made = 19/4 pounds
If he uses 1/16 pound of dough for each cookie, the total amount of cookies made is given;
Number of cookies = 19/4 ÷ 1/16
Number of cookies = 19/4 * 16/1
Number of cookies = 19 * 4
Number of cookies = 76
This shows that 76 cookies will be made with the total pounds of cookies
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triangle is graft on a coordinate grid and then translated three units to the left in two units up. Of one vertice of The original triangle is located at (1,-8) what is the order pair of this vertex of the new triangle after translation?
Answer: 33
Step-by-step explanation:
Zayn and Attia are thinking of a number each. What is Attia's number? My number is greater than 2. 12 and 20 are multiples of my number. My number is the 11th multiple of Zayn's number.
Answer:
Me: 60
Zayn and Attia: 6
Step-by-step explanation:
12 = 2 × 2 × 3
20 = 2 × 2 × 5
LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60
My number is 60.
Zayn's and Attia's numbers are 6.
what is the thing highlighted?
Answer:
I think a fraction
Step-by-step explanation:
Xd
Work out the equation of a line that has a gradient of -2 and passes through (1,7)
With the infοrmatiοn prοvided, the sοlutiοn is 2x + y = 9.
What are equatiοns used fοr?A mathematical equatiοn, including such 6 x 4 = 12 x 2, states that twο numbers οr values are equivalent. a meaningful nοun. An equatiοn is used when twο οr even mοre factοrs must be cοnsidered jοintly in οrder tο understand οr explain the whοle situatiοn.
Given:
Slοpe οr gradient οf line = -2
The lοcatiοn where the line passes = (1,7)
Equatiοn οf a line thrοugh (h,k) with a slοpe οf m:
(y - k) = (x -h) m
Equatiοn οf a line thrοugh (1,7) with a slοpe οf (-2): -
⇒ (y - 7) = (x - 1)(-2)
⇒ y - 7 = - 2x + 2
⇒ y = -2x + 2 + 7
⇒ y = -2x + 9
οr
⇒2x + y = 9
Verificatiοn οf respοnse:
We may check οur respοnse by substituting (1,7) in the fοrmula 2x+y=9.
⟹ LHS = (2×1)+7
⟹ LHS = 2+7
⟹ LHS = 9
Therefοre , LHS = RHS.
Alsο, yοu can use the equatiοn tο determine the gradient οr slοpe and cοnfirm yοur sοlutiοn.
⟹ Slοpe is equal tο -(cοefficient οf x)/ (cοefficient οf y)
⟹ Slοpe = - 2 /1
⟹ slοpe = -2
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The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then f(p) = −2p² + 24p – 54, then what are the prices that give a profit of zero dol
lars?
The solution is, the profit is 18.
If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.
a). The prices that give a profit of zero dollars.
Expression that is most useful,
Factored form: -2(p - 3)(p - 9) = 0
p = 3, 9
b). The profit when the price is zero .
Standard form:
Profit = -2p² + 24p - 54 = 0
-p² + 12p - 27 = 0
-p² + 3p + 9p - 27 = 0
-p(p - 3) + 9(p -3) = 0
(-p + 9)(p - 3) = 0
p = 3, 9
c). The price that gives the maximum profit.
Vertex form: -2(p - 6)² + 18
Vertex of the given expression → (6, 18)
Maximum profit will be at p = 6.
Therefore, profit = -2(6 - 6)² + 18 = 18
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complete question:
The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then three equivalent forms for the profit are
Standard form: - 2 p^2 + 24p - 54
Factored form: -2(p - 3)(y-9)
Vertex form: -2(p-6)^2 + 18.
Which form is most useful for finding a. The prices that give a profit of zero dollars?
b. The profit when the price is zero?
c. The price that gives the maximum profit?
integrate both sides of the differential equation you found for dp to obtain an equation for p . your equation should then include a constant that depends on initial conditions. determine the value of this constant by assuming that the pressure at some reference height y0 is p0 .
The value of this constant, by assuming that the pressure at some reference height y₀ is p₀, is p - p₀ = p.g(y₀ - y).
dp = -pg dy
At height y = y₀ and p = p₀
∫dp = ∫-pg dy
⇒p = -pgy + C Eqn(1)
Where c is the constant of integration
We know that y = y₀ and p = p₀
⇒p₀ = -pgy₀ + C
⇒C = p₀ + pgy₀
Put the value of C in Eqn(1)
⇒p = -pgy + p₀ + pgy₀
⇒p - p₀ = -pgy + pgy₀
⇒p - p₀ = pg(y₀ - y)
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A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches?
Answer: 400
Step-by-step explanation:
What is 35% of 80 ?
A
15
B.
24
С
28
D
52
Pls help I will give brainliest
only help if u have the answer for sure
Answer:
70km
Step-by-step explanation:
\(1cm = 20km \\ 3.5cm = 3.5 \times 20km \\ = 70km\)
Cecilia se compra un libro con la cuarta parte de su dinero y un cómic con la mitad del dinero que le quedaba. Al salir de la librería se da cuenta que le sobraron $8. ¿Cuál es la ecuación para conocer la cantidad de dinero que tenía en un inicio?
The equation to determine the initial amount of money Cecilia had is x = 0.
Let's denote the initial amount of money Cecilia had as "x" dollars.
According to the given information, Cecilia spent one-fourth (1/4) of her money on a book, which is (1/4)x dollars. After buying the book, she had (x - (1/4)x) dollars left.
Next, Cecilia spent half (1/2) of the remaining money on a comic, which is ((1/2)x - 8) dollars. After buying the comic, she had ((x - (1/4)x) - ((1/2)x - 8)) dollars remaining.
Since she had $8 left, we can set up the equation:
((x - (1/4)x) - ((1/2)x - 8)) = 8
To simplify the equation, we can first combine like terms:
(x - (1/4)x - (1/2)x + 8) = 8
Now, let's solve the equation step by step:
(x - (1/4)x - (1/2)x + 8) = 8
Multiplying the fractions by their common denominator, which is 4, we get:
(4x - x - 2x + 32) = 32
Simplifying further:
(x + 32) = 32
Subtracting 32 from both sides:
x = 0
Therefore, the equation to determine the initial amount of money Cecilia had is x = 0.
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