Answer: x =(4-√168)/2=2-√ 42 = -4.481
x =(4+√168)/2=2+√ 42 = 8.481
Step-by-step explanation:
Answer:
x = -4.48, 8.48 to the nearest hundredth.
Step-by-step explanation:
x^2 - 4x - 9 = 29
Completing the square:
(x - 2)^2 - 4 - 9 = 29
(x - 2)^2 = 29 + 13 = 42
x - 2 = +/-√42
x = 2 +/-√42
x = 8.48, -4.48 .
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)
A) 2x-3
B)3x-3
C)4x+1
D)2x-1
Answer:
C.
Step-by-step explanation:
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; t que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche, 1kg de jamon serrano y 3 litros de aceite de oliva
Answer:
1 litro de leche cuesta 2.5
1 kg de jamón serrano cuesta 35
1 litro de aceite de oliva cuesta 7,5
Step-by-step explanation:
Pregunta correcta completa
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva. Calcule el precio de cada artículo.
Solución
Deje que el precio de un litro de leche, un kilogramo de jamón serrano y un litro de aceite de oliva sea x, y y z respectivamente.
16 litros de leche, 4 kg de hamon serrano y 8 litros de aceite de oliva cuestan 240
16x + 4y + 8z = 240 (ecuación 1)
1 litro de aceite cuesta el triple de 1 litro de leche
z = 3x (ecuación 2)
Y ese 1 kg de jamón cuesta lo mismo que el cliente tendría que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva.
y = 5x + 3z (ecuación 3)
Sustituyendo las ecuaciones 2 y 3 en la ecuación 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recordemos que z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
English Translation
A supermarket customer has paid a total of 240 for 16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil. Knowing that 1 liter of oil costs the tripe of 1 liter of milk; t that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil. Calculate the price of each item.
Solution
Let the price of a liter of milk, a kilogram of Serrano ham and a liter of olive oil be x, y and z respectively.
16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil cost 240
16x + 4y + 8z = 240 (eqn 1)
1 liter of oil costs the triple of 1 liter of milk
z = 3x (eqn 2)
And that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil
y = 5x + 3z (eqn 3)
Substituting eqn 2 and 3 into eqn 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recall that z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
1 liter of milk costs 2.5
1 kg of Serrano ham costs 35
1 liter of olive oil costs 7.5
Hope this Helps!!!
x varies jointly as y^3 and square root of z . If x = 7 when y = 2 and z = 4, find x correct to 2 decimal places, when y = 3 and z = 9.
Answer:
x=35.44
Step-by-step explanation:
x=ky^3 and√z
x=k(y^3)(√z)
Find k when
x=7
y=2
z=4
7=k(2^3)(√4)
7=k(8)(2)
7=k(16)
7=16k
k=7/16
Find x when y=3, z=9
x=k(y^3)(√z)
x=(7/16)(3^3)(√9)
x=(7/16)(27)(3)
=7/16(81)
=567/16
x=35.4375
Approximate to 2 decimal places
x=35.44
the altitude of a right circular cone is 8cm and the radius of the base is 6cm what is its total surface area
Answer:
301.44 cm ^ 2
Step-by-step explanation:
We have that the total surface area of a cone would be the sum of the base area and the lateral surface area.
the area of the base, being a circle is pi * r ^ 2
the lateral area would come being the multiplication between the inclined height, the radius and the number pi, that is to say pi * r * l
the inclined height is calculated using the Pythagorean theorem, the legs being the radius and the altitude, thus:
l ^ 2 = 6 ^ 2 + 8 ^ 2
l ^ 2 = 100
l = 10
Therefore, we can replace:
A = 3.14 * 6 ^ 2 + 3.14 * 10 * 6
A = 301.44
It means that the total surface area is 301.44 cm ^ 2
The Andersons can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?
They can set up
_______ tables in 5 hours.
Answer:
To find this out, you simply multiply 6x5 which is 30
Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!!!!
Answer:
C
Vertex at (-4 , 18)
Step-by-step explanation:
The vertex's x-coordinate is -4
To find the y-coordinate plug -4 into any of the equations but I recommend using the third one because it'll be the fastest route.
-2 (-4 + 4)^2 + 18
-2(0)^2 + 18
= 18
Vertex at (-4, 18)
Which of the following are accepted without proof in a logical system check all that apply
Answer:
postulates, common notions, and axioms
Graph the Inequality.
Answer:
x ≤ -7
Step-by-step explanation:
There is a filled in circle which means that it is either ≤ or ≥.
The graph is going to the left, which means it is ≤
The starting number is -7.
x ≤ -7
2 Points
Which unit of measure would be appropriate for the volume of a sphere with a
radius of 2 meters?
A. Square meters
B. Centimeters
C. Meters
D. Cubic meters
SUBMIT
Answer:
D. Cubic meters
Explanation:
Anytime you see a question asking about volume, the units will always have cubic in it.
Answer:
D
Step-by-step explanation:
For the volume of a sphere with radius of 2 meters, Since here, the unit is "meters", so the volume of this sphere would be in cubic metres.
Cookies are rejected if they weigh more than 44 g or less than 36 g. How many cookies would you expect to be rejected in a sample of 10,000 cookies?
Answer:
its 456
Step-by-step explanation:
Hi can anyone please help me I really need help please help me
Answer:
3811.2 cubic cm
Step-by-step explanation:
Formula for sphere volume: 4/3πr^3 and since r=10, then plugging it in will be 1000*4/3π≈4188.79. The cube has side length 10*2=20 and has a volume of 20^3=8000. 8000-4188.79=3811.21≈3811.2
At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?
A painted water tower is shown. What percent of the surface area of the water tower (not including the surface underneath the tower) is green? Round your answer to the nearest tenth of a percent.
Answer:
43.6%
Step-by-step explanation:
curved surface area (green) is found by circumference multiply by height
[tex]\pi[/tex] x d x h = [tex]\pi[/tex] x (15 x 2) x 12 = 360[tex]\pi[/tex]
total surface area is
blue circle + total curved surface area (blue + green)
= [tex]\pi[/tex][tex]r^{2}[/tex] + 15(2)(8)[tex]\pi[/tex] + 360[tex]\pi[/tex]
= [tex]15^{2}[/tex][tex]\pi[/tex] + 240[tex]\pi[/tex] + 360[tex]\pi[/tex]
= 825[tex]\pi[/tex]
percentage = 360[tex]\pi[/tex]/825[tex]\pi[/tex] x 100%= 22/55 x 100% = 43.63
factorize p^2+pq-pqr
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2+pq-pqr
Factor out a p
p(p+q-qr)
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2 +pq-pqr
= p(p+q-qr)
root 3 cosec140° - sec140°=4
prove that
Answer:
Step-by-step explanation:
We are to show that [tex]\sqrt{3} cosec140^{0} - sec140^{0} = 4\\[/tex]
Proof:
From trigonometry identity;
[tex]cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}[/tex]
[tex]\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\[/tex]
From trigonometry, 2sinAcosA = Sin2A
[tex]= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}[/tex]
Also note that sin(B-C) = sinBcosC - cosBsinC
sin420cos140 - cos420sin140 = sin(420-140)
The resulting equation becomes;
[tex]\frac{4(sin(420-140)) }{sin280}[/tex]
= [tex]\frac{4sin280}{sin280}\\ = 4 \ Proved![/tex]
HELP MARK AS BRAINLIST
Answer: Area for trapezoid= 1/2(4+5×1)=4.5 m
Area of triangle= Iam not exactly sure
hope this helped you a bit
Step-by-step explanation:
Solve.
a + 1 = Vb + 1 for b.
Answer:
b = a² + 2a
Step-by-step explanation:
a + 1 = √(b + 1)
(a + 1)² = b + 1 (Square both sides)
a² + 2a + 1 = b + 1 (Expand left side)
a² + 2a = b (Subtract 1)
Question 2
Move point B some more. As you move point B, the angle formed between AB and CD varles. If you want to make AB perpendicular to CD
what do you need to do? Explain in terms of BEC
Answer: to make AB perpendicular to CD move point B until the angle between the lines, BEC measures 90 degree
Step-by-step explanation:
Corresponding angles form when a transversal intersects with two parallel lines.
True
False
Please help
Answer: True
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal.
To which set of numbers does the number –5 belong? Select all that apply. integers natural numbers rational numbers real numbers whole number.
Answer:
integers
rational numbers
real numbers
Step-by-step explanation:
i answered the question:)
Using number sets, it is found that the number -5 belongs to these following sets:
Integer numbers.Rational numbers.Real numbers.----------------------------------
Numbers are classified as:
Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...}. This set is also called natural. Integer numbers: Number without decimals, that can be positive or negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. Real numbers: Rational plus irrational.----------------------------------
-5 is a negative number, so it is integer.All integers are rational and real, and thus, -5 is integer, rational and real.A similar problem is given at https://brainly.com/question/10814303
El resultado de la siguiente adición (- 6 x ᶺ 4 – 4 x ᶺ 3 + 7 x ᶺ 2 – 2 x) + (- 6 x ᶺ 3 + 4 x ᶺ 2 – 8 x + 10) es (Procedimiento)
- 6 x⁴ - 4 x³ + 7 x² - 2 x
+ .. . . - 6 x³ + 4 x² - 8 x + 10
------------------------------------------------------
-6 x⁴ -10 x³ + 11 x² -10 x + 10
what is the slope of the line shown below?
Answer:
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-2)/(-1-2)
m=-6/-3
m=2
Which linear inequality is represented by the graph
PLZ PLZ HELP QUICK PLZ PLZA
circle with radius of
3
cm
3cmstart color #1fab54, 3, start text, c, m, end text, end color #1fab54 sits inside a
8
cm
×
7
cm
8cm×7cmstart color #11accd, 8, start text, c, m, end text, times, 7, start text, c, m, end text, end color #11accd rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
27.73 cm^2
Step-by-step explanation:
Answer:
Guys its 27.73- Please trust me i have done this one on khan multiple times
Step-by-step explanation:
Please please please like my answer or vote one of my answers brainliest.
Bryan's monthly Netflix subscription costs $10. If he charges it
to his credit card each month for 5 months without making any
payments, what will his debt be?
Answer:
$50
Step-by-step explanation:
If he pays $10 every month, and he pays for 5 months, it would be 10 x 5, which means he would be $50 in debt.
Why is it important to consider multiplicity when determining the roots of a polynomial equation? Write your response, citing mathematical reasons and providing examples that you create In order to receive full credit for this prompt, please answer the following questions: What it multiplicity? What does it tell us? Why must we take multiplicity into account when talking about the number of roots a polynomial has? What does multiplicity tell us about how the graph behaves at the roots?
Answer:
Step-by-step explanation:
The multiplicity of a root of a polynomial equation is the number of times it appears in the solution.
Multiplicity is important because it can tell us two things about the polynomial that we work on and how it is graphed. first: it tells us the number repeating factor a polynomial has to determine the number of the real (positive or negative) roots and complex roots of the polynomial.
About graph behaves at the roots : Behavior of a polynomial function near a multiple root
The root −4 is a 'simple' root (of multiplicity 1), and therefore the graph crosses the x-axis at this root. The root 1 is of even multiplicity and therefore the graph bounces off the x-axis at this root.
Explain how to find the value of y that would make segment OP parallel to segment LN.
Answer:
[tex]y = 36[/tex]
Step-by-step explanation:
Given; the triangle above
Required
Find y
This question falls under the topic/subtopic similar triangles where we need to make comparison between similar sides'
But first, it should be noted that triangle MOP is similar to triangle MLN
This implies that
Side MP is similar to MN
Side MO is similar to ML
Mathematically; This can be represented as follows;
[tex]\frac{MP}{MN} = \frac{MO}{ML}[/tex]
Where MP =y; MN = y + 18; MO = 28; ML = 28 + 14
Substitute these values in the above expression
[tex]\frac{y}{y+18} = \frac{28}{28+14}[/tex]
[tex]\frac{y}{y+18} = \frac{28}{42}[/tex]
Multiply both sides by 42
[tex]42 * \frac{y}{y+18} = \frac{28}{42} * 42[/tex]
[tex]\frac{42y}{y+18} = \frac{28*42}{42}[/tex]
[tex]\frac{42y}{y+18} = 28[/tex]
Multiply both sides by y + 18
[tex](y+18)*\frac{42y}{y+18} = 28 * (y+18)[/tex]
[tex]42y = 28 * (y+18)[/tex]
Open Bracket
[tex]42y = 28 * y+28 * 18[/tex]
[tex]42y = 28y+504[/tex]
Subtract 28y from both sides
[tex]42y - 28y = 28y - 28y +504[/tex]
[tex]14y = 504[/tex]
Divide both sides by 14
[tex]\frac{14y}{14} = \frac{504}{14}[/tex]
[tex]y = \frac{504}{14}[/tex]
[tex]y = 36[/tex]
Answer:
y= 36
Step-by-step explanation:
also ily, no homo
in a bacterial cell where would you find the DNA plasmids?
Step-by-step explanation:
bacteria also have small, closed-circle of DNA called plasma and present in their cytoplasm .
divide 405 in to the ratio 3:12
give answer in the form ... and ...
Answer:
81:324
Step-by-step explanation:
3+12=15
405 div 15 =27
3 times 27 = 81
12 times 27 = 324
81:324
1. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve?
Is there enough information to enable you to find a solution to your problem?