Answer:
C) 30,80 PLATO
Step-by-step explanation:
This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.
Hopefully i helped and corrected the wrong answer up there!
This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80) solution is valid within the context of the situation.
Given:
7x + 12y ≥ 1,000
x + y > 100
We need to determined the solution which is valid within the context of the situation.
According to question,
A. (90,25)
Put this value in given both equation.
We get,
7(90) + 12(25) ≥ 1,000630 + 300 [tex]\ngeqslant[/tex] 1000
⇒ 930 [tex]\ngeqslant[/tex] 1,000
x + y > 10090 + 25 > 100
⇒ 115 > 100
B. (40,64.50)
7(40) + 12(64.50) ≥ 1,000280 + 774 [tex]\geq[/tex] 1000
⇒ 1054 [tex]\geq[/tex] 1000
x + y > 10040 + 64.50 >100
⇒ 104.50 > 100
C. (30,80)
7(30) + 12(80) ≥ 1,000210 + 960 [tex]\geq[/tex] 1000
⇒ 1170 [tex]\geq[/tex] 1000
x + y > 10030 + 80 = 110 >100
D. (200,-10)
7(200) + 12(-10) ≥ 1,0001400 -120 [tex]\geq[/tex] 1000
⇒ 1280 [tex]\geq[/tex]1000
x + y > 100200 - 10 >100
⇒ 190>100
Therefore, the correct option is (C), (30,80) solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).
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Find the slope of the line that passes through (10, 3) and (1, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: -7/9
Step-by-step explanation:
10-3
1-10
The slope of the line is - 7/9
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Holly is trying to save $25,000 to put a down payment on a condominium. If she starts with $10,000 saved and saves an additional $750 each month, which equation represents how far Holly is from her goal of reaching $25,000? Let x stand for months and y stand for dollars.
Answer:
15000 - 750x
Step-by-step explanation:
Holly is trying to save $25, 000 to put a down payment on a condominium. She started with $10,000 and saved an additional $750 each month.
Let
y = dollars
x = number of months
Since she started her savings with $10, 000 her remaining amount to pay will be 25000 - 10000 = $15000 .
The amount will also be reducing by $750 per month
Therefore,
How far she is from her goal can be represented with the equation
15000 - 750x
y is equal to the product of 3 and x divided by 9; x = -6 What is the output?
Answer:
Out put would be - 2
Step-by-step explanation:
[tex]y = 3x \div 9 \\ y = \frac{3x}{9} \\ y = \frac{x}{3} \\ plug \: x = - 6 \\ y = \frac{ - 6}{3} \\ \huge \purple{ \boxed{ y = - 2}}[/tex]
what is the center of a circle whose equation is x^2+y^2-12x-2y+12=0
Answer:
(6, 1)
Step-by-step explanation:
Answer:
centre = (6, 1 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 2y + 12 = 0
Collect the x and y terms together and subtract 12 from both sides
x² - 12x + y² - 2y = - 12
To obtain the equation in standard form use completing the square
add ( half the coefficient of the x/ y term )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 1)y + 1 = - 12 + 36 + 1
(x - 6)² + (y - 1)² = 25 ← in standard form
with centre = (6, 1 ) and radius = [tex]\sqrt{25}[/tex] = 5
Can some one please do this question?
Answer: a number added to three then reduced by 2
Step-by-step explanation:
3+1= 4
4-2=2
URGENTE!
(Foto 1)Decomponha o radicando em fatores primos e calcule o valor de cada radical
(Foto 2)Calcule
Alguem responde pfvr tenho até hj de noite pra responder
Step-by-step explanation:
Do it yourself will be help ful
[tex]6113 {2x}^{2} [/tex]
1. Make sure your answers and work is SHOWN please and steps are in order.
2. List all of the possible rational roots.
3. Use synthetic division to test the possible rational roots and factor as far as possible.
4. Identify complex roots, if possible.
5. Sketch a graph of the function, please show:
a. the end behavior correctly
b. the shape of the near x-int
c. (if possible) anything you can learn by considering symmetry and transformations.
1a. p(x)- 2x^4-3x^3-6x^2+5x+6
2a. p(x)= x^4 + 4x^3 + 13x^2 + 36x + 36
3a. p(x)= 2x^5 - 9x^4 + 6x^3 + 22x^2 - 20x - 25
Been a while since I've done synthetic division.
1a. Let's assume that's supposed to be an equals sign
p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6
possible rational roots have factors of 6 in the numerator and of 2 in the denominator. We'll only worry about negative numerators.
Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6
Factors of 2: 1,2
Possible rational roots:
(dividing by 1:) 1,-1,2,-2,3,-3,6,-6
(dividing by 2:) 1/2, -1/2 (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2
Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2
Synthetic division, trying x=1,
1 | 2 -3 -6 5 6
2 -1 -7 -2
2 -1 -7 -2 4
Got a remainder of 4, so 1 isn't a root;
Trying x=-1
-1 | 2 -3 -6 5 6
-2 5 1 -6
2 -5 -1 6 0
Zero remainder, found a root, x=-1. This division says
(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6
Same set of rational roots on the cubic, we continue with x=2
2 | 2 -5 -1 6
4 -2 -6
2 -1 -3 0
Another zero remainder, x=2 is a root. We're left with 2x² - x - 3 = 0, which factors as
(2x - 3)(x + 1) = 0
That's a second factor of x+1. Our final factorization is
2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)
Fourth degree with a positive leading coefficient so goes to +infinity at both ends. Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.
I'll leave the actually sketching and the other two polynomials to you -- that took some time.
A piece of timber is x cm long. how long would 10 pieces of timber be put together in a line?
Answer:
10x cm
Step-by-step explanation:
e.g.
5cm cm x 10 = 50cm
--> 10x cm
The length of the 10 pieces together will be, 10x.
What is length?The length is the distance between the extreme ends of the object.
It is known that the length of one piece of timber is x cm.
Multiply 10 and x to determine the total length of 10 pieces of timber together.
10·x=10x
Thus, the total length of 10 pieces of timber will be 10x cm.
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Which statement is true about f(x) + 2 = 1/6 |x-3| ?
A) The graph of f(x) has a vertex of (–3, 2).
B) The graph of f(x) is a horizontal compression of the graph of the parent function.
C) The graph of f(x) opens downward.
D) The graph of f(x) has range of f(x) ≥ –2.
Answer:
Option D.
Step-by-step explanation:
Statement given,
f(x) + 2 = [tex]\frac{1}{6}|x - 3|[/tex]
Or f(x) = [tex]\frac{1}{6}|x-3|[/tex] -2
Parent function, g(x) = |x|
Absolute value function g(x) when shifted 3 units right,
g'(x) = |x - 3|
Vertically compressed by [tex]\frac{1}{6}[/tex] units and shifted 2 units down, then the new function will be
f(x) = [tex]\frac{1}{6}|x - 3|-2[/tex]
Characteristics of the graph of this function:
1). Vertex at (3, -2).
2). Vertical compression of the parent function by [tex]\frac{1}{6}[/tex].
3). Graph opens upwards.
4). Range of the graph f(x) is f(x) ≥ -2.
Therefore, Option D will be the answer.
Right triangle LMN has vertices L(7, –3), M(7, –8), and N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8). Which rule was used to translate the image? (x, y) → (x + 6, y – 5) (x, y) → (x – 6, y + 5) (x, y) → (x + 8, y – 11) (x, y) → (x – 8, y + 11)
Answer:
d
Step-by-step explanation:
The rule that was used to translate the image is (x, y) → (x – 6, y + 11)
Translation is a way of moving an object from one location to another on the xy- plane
Given the coordinate of the right triangle LMN with vertices L(7, –3), M(7, –8), and N(10, –8)
If the triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8), the translation used will be:
L'(1, 8) = (x, y) - L(7, -3)
(X, Y) = L'(1, 8) + L(7, -3)
(X, Y) = (1+7, 8+3))
(X, Y) = (-6, 11)
Hence the rule that was used to translate the image is (x, y) → (x – 6, y + 11)
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What is the area of a rectangle that is 5 meters long and 8 meters wide? 40 m 2 26 m 2 35 m 2 13 m 2
Answer:
The area of the 5m by 8m is 40 I don't know what you want with the other numbers but this is for the sentence
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Did da test
When Jonathan bought 12 peaches and pears, at $1.50 per peach and
at $1.60 per pear, the total price was $18.50.
How many peaches and pears did he buy, respectively?
Fill in the blanks provided and solve for the answer.
Solve the system of linear equations by graphing. Round the solution to the nearest tenth.
y = –0.25x + 4.7
y = 4.9x – 1.64
The approximate solution to the system is (
,
).
Answer:
The approximate solution to the system is (1.2, 4.4)
x = 1.2 and y = 4.4
Step-by-step explanation:
The solution of the system of linear equations equation y = –0.25x + 4.7 and y = 4.9x – 1.64 is shown in the attached graph. The red line represents the equation y = –0.25x + 4.7 and the blue line represents the equation = 4.9x – 1.64.
The solution of the system of equations is their point of intersection shown on the graph.
The point of intersection is (1.231, 4.392). To the nearest tenth, it is (1.2, 4,4). So x = 1.2 and y = 4.4.
So the approximate solution to the system is (1.2, 4.4)
A box contains 4 black pens and 2 red pens. One pen is chosen at random, and then another pen is chosen at random without replacement. What is the probability a black pen was chosen, and then another black pen? *
Answer:
Probability is 2/5 or 40%.
Step-by-step explanation:
4/(4+2) = 4/6 = 2/3 first black pen is chosen.
3/5 - second pen is chosen without replacement.
2/3 *3/5= 2/5 - the probability a black pen was chosen, and then another black pen without replacement.
2/5*100 % = 40 %
I’ll mark you brainliest help!!! Which function is increasing?
Answer:
the answer is D. have a nice day :)
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 red?
Answer:
4/6 chance
One is taken at random, we do not know the colour so we just take away 1 from both colours, this leaves us with 4/6 chance.
As a member of the Game Shop rewards program, you get a 12% discount on purchases. All sales are subject to an 8% sales tax. Write functions to model the discount and the sales tax, then identify the rule for the composition function that calculates the final price you pay Games Shop.
Answer:
the answer is 1.041
Step-by-step explanation:
you will do.... 12*8/100
The function to model the amount after the discount is x - 0.12x
The function to model the amount after the sales tax is x + 0.08x.
The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
12% = discount on purchases.
8% = sales tax.
Now,
If the item cost $x
The function to model the amount after discount.
f(x) = x - (12/100)x = x - 0.12x
The function to model the amount after the sales tax.
g(x) = x + (8/100)x = x + 0.08x
Now,
The rule for the composition function calculates the final price you pay Games Shop.
= x + 0.08x - 0.12x
= x - 0.04x
Thus,
The function to model the amount after the discount is x - 0.12x
The function to model the amount after the sales tax is x + 0.08x.
The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.
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There are three types of tickets to enter the amusement park of a particular city. The normal ticket costs R $ 52.00, the child ticket costs R $ 20.00 and the elderly ticket costs R $ 28.00. A group of friends went to the park and paid in total R $ 480.00. In this group, each adult (normal or senior) took two children. How many normal tickets purchased?
Answer:
3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children
Step-by-step explanation:
Let x = normal ticket number
Let y = child ticket number
Let z = elderly ticket number
The total amount spent is 480, so we can create this equation:
52 * x + 20 * y + 28 * z = 480
They also tell us that each adult took two children, so:
y = 2 * (x + z)
We have two equations and three unknowns, therefore we must simplify and do trial and error. First, let's substitute "y" in terms of "x" and "z" in the first equation, then simplify:
52 * x + 20 * y + 28 * z = 480
52 * x + 20 * 2 * (x + z) + 28 * z = 480
52 * x + 40 * (x + z) + 28 * z = 480
52 * x + 40 * x + 40 * z + 28 * z = 480
92 * x + 68 * z = 480
23 * x + 17 * z = 120
Let's solve for x in terms of e:
23 * x = 120-17 * z
x = (120-17 * z) / 23
We know that (120 - 17 * z) has to be a multiple of 23 for "x" to be an integer. So let's look at testing some values of "z" to make valid values for "x":
120-17 (0) = 120 (not multiple of 23)
120-17 (1) = 103 (not multiple of 23)
120-17 (2) = 86 (not multiple of 23)
120-17 (3) = 69 (multiple of 23)
120-17 (4) = 52 (not multiple of 23)
120-17 (5) = 35 (not multiple of 23)
120-17 (6) = 18 (not multiple of 23)
120-17 (7) = 1 (not multiple of 23)
After that, we get negative values for "x", so here there is only one possible value for "x", so we know that z = 3:
Now we can solve for "x" and "y":
x = (120-17 * 3) / 23
x = (120-51) / 23
x = 69/23
x = 3
Now for and:
y = 2 * (x + y)
y = 2 (3 + 3)
y = 12
Therefore, 3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children.
PLEASE HELP I need the answer for this ASAP pleaseeeee
Answer:
13
Step-by-step explanation:
[tex]f(x) = 5 \sqrt{x} + 8 \\ f(1) = 5 \sqrt{1} + 8 \\13[/tex]
Hope this helps..
60cm in the ratio 5:7
Answer:
[tex]25:35[/tex]
Step-by-step explanation:
[tex]\frac{60}{5+7}[/tex]
[tex]\frac{60}{12}[/tex]
[tex]=5[/tex]
[tex]5:7[/tex]
[tex]5 \times 5 :7 \times 5[/tex]
[tex]25:35[/tex]
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, or vertical.
Answer:
see below
Step-by-step explanation:
Because there is the right angle symbol on the chart these angles are complementary meaning thety have a sum of 90°.
(60,0) how is it shown on graph?
Answer:
0 y and 60 x so
VVVVVVVVVVVVVVVVVVVVVV
Step-by-step explanation:
its 60 on the x-axis
What is the HIGHEST COMMON FACTOR of 36 81
Answer: 9
Explanation: 3 x 3 is the gcf of 36 and 81. gcf (36,81) = 9.
Answer:
its 9
Step-by-step explanation:The prime factorization of 81 is: 3 x 3 x 3 x 3.
. The prime factors and multiplicities 36 and 81 have in common are: 3 x 3.
so 9
Which of the equations below represents a line parallel to the y-axis? A. x = -y B. x = y C. x = 4y D. x = 4
Answer:
D
Step-by-step explanation:
A line parallel to the y- axis is a vertical line with equation
x = c
where c is the value of the x- coordinates the line passes through, thus
x = 4 is the equation of a line parallel to the y- axis → D
Factor the polynomial completely.
(y - 8)^2 - 16
Answer:
(y -12)(y -4)
Step-by-step explanation:
This can be factored as the difference of squares:
(y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)
the function f is defined by f(x) = 3x-7/8.
(1) Evaluate f(-2) and f(2 5/6).
(2) final the value of x for which f(x)=5
Answer:
-55/8, 61/8, x=47/24
Step-by-step explanation:
not sure if you meant f(25/6) or f(2 5/6), I just assumed it was the second one
but basically just sub in the value into the eqn given
Find the surface area of polyhedra
Pls!! show how you got the surface area
Answer:
52.48
Step-by-step explanation:
find the cross sectional area which is the triangle
triangle = 1/2 x 8.2 x 6.4 = 26.24
then, use the area to multiply by the extended length of 2
26.24 x 2 = 52.48
Marquis has 7 cups of yogurt. He gives his sister 3 3
5 cups of the yogurt, how much of
Marquis’s yogurt remains?
Answer:
He has 3,65 cups of yogurt left.
Step-by-step explanation:
7 - 3,35 = 3,65
The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16
Answer:
Given below
Step-by-step explanation:
The algebraic identity is (a-b)^2
= a^2 + b^2 - 2ab
So it'll be,
(x-4)^2
= x^2 + (4)^2 - (2)(x)(4)
= x^2 -8x + 16
or x^2 +16 -8x
The expression x² + 16 -8x is equivalent to the given expression (x-4)². The correct answer would be an option (C).
What is algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
The expression is given in the question, as follows:
(x-4)²
As we know that the sum of square identity (a-b)² = a² + b² - 2ab
So x² + (4)² - (2)(x)(4)
x² -8x + 16 or
x² + 16 -8x
This expression is equivalent to the given expression.
Hence, the correct answer would be an option (C).
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Find the length of the third side to the nearest tenth.
5
1
Answer:
square root of 26 (sorry couldn't get the symbol)
Step-by-step explanation:
C^2 = A^2 + B^2 (Pythagoras Theorem)
C^2 = 5^2 + 1^2
C^2 = 26
take square root of both sides
C =
[tex] \sqrt{26} [/tex]
