La relación dada es una función si x = 4 y y = - 1. La representación de la función es f= {(2, 8), (4, 5), (- 2, 9), (3, 9), (5, 4)}.
¿Que valores tienen dos variables reales tal que una relación dada es una función?
Las relaciones están formadas por dos conjuntos relacionados entre sí, un conjunto de entrada denominado dominio y uno de salida denominado rango. Una función es una relación cuyos elementos del dominio solo están asociados a un solo valor del rango.
Bajo estas consideraciones, tenemos que (2, 8) = (2, x² - 2 · x) y (3, 9) = (3, y + 4), cuyas ecuaciones algebraicas se resuelven a continuación:
x² - 2 · x = 8 (1)
y + 4 = 9 (2)
By (1):
x² - 2 · x - 8 = 0
(x - 4) · (x + 2) = 0
x = 4 ∨ x = - 2
By (2):
y = 5
Si sabemos que x = 4 y y = - 1, entonces la representación de la función es:
f= {(2, 8), (4, 5), (- 2, 9), (3, 9), (5, 4)}
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Pls help I need a good grade asap
Answer:
8n+12=36, triplets are 8 years old
Step-by-step explanation:
total age is 36
one of them is 12 years old so -> 36-12 = 24
three triplets so 24/3 = 8
there are three 8 years olds and one 12 year old. n = 3
Answer:
Step-by-step explanation:
3n + 12 = 36
3n = 24
n = 8 (the triplets)
another child: 12 years
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Step-by-step explanation:
The first answer is correct
Answer:
The answer is option A = 5 11/36
Working :
3 8/9 as an improper fraction = 35/9
1 5/12 as an improper fraction =17/12
35/9 + 17/12 = 191/36
=5 11/36
Please mark me brainliest.
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $7. On Saturday, Rob
earned $84 babysitting. How much money did he save?
If he earned $84, how much money did he save
Answer:
$42
Step-by-step explanation:
7/14=1/2 so he saved 1/2 of 84
Find the whole. 215% of what number is 172
IN (3)
2
10
6
7
-3
-10 1000
15
OUT (9)
9 25 17
a. Explain in words what is done to the input value (20) to produce the output value (y).
b. Write the rule you described in part (a) with algebraic symbols.
Answer:
(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product
(b) [tex]y =2x +5[/tex]
Step-by-step explanation:
Given
The attached table
Solving (a): The rule of the table in words
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using:
[tex](x_1,y_1) = (2,9)[/tex]
[tex](x_1,y_1) = (10,25)[/tex]
So, we have:
[tex]m = \frac{25 - 9}{10 - 2}[/tex]
[tex]m = \frac{16}{8}[/tex]
[tex]m=2[/tex]
The equation is calculated using:
[tex]y - y_1 =m(x - x_1)[/tex]
Using:
[tex](x_1,y_1) = (6,17)[/tex]
We have:
[tex]y - 17 =2(x - 6)[/tex]
[tex]y - 17 =2x - 12[/tex]
Make y the subject
[tex]y =2x - 12+17[/tex]
[tex]y =2x +5[/tex]
Hence, the rule is:
Multiply the input (x) by 2 and add 5 to the result of the product
(b): The rule, in algebra
As solved in (a), the rule is:
[tex]y =2x +5[/tex]
solve for each quotient 2 1/2+7 1/3
The quotient of the given fractions is 9/44.
Given that, [tex]1\frac{1}{2}\div 7\frac{1}{3}[/tex].
How to divide the fractions?The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
The given mixed fractions can be written as, [tex]1\frac{1}{2}=\frac{3}{2}[/tex] and [tex]7\frac{1}{3}=\frac{22}{3}[/tex]
Now, 3/2 ÷ 22/3
=3/2 × 3/22
=9/44
Therefore, the quotient of the given fractions is 9/44.
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I really don’t get it!!
Answer:
The answer is b.
Step-by-step explanation:
Square root 124, you'll get 29.10, after that once you simplify it, you will get the answer and you will have to do the formula, a^2 + b^2 = c^2 since it is a triangle.
Answer:
x = 11,
m∡LMN = 124°
Step-by-step explanation:
since NO bisects ∡LMN, then ∡LMO = ∡NMO
so we can do the following to solve for 'x':
8x - 26 = 2x + 40
6x = 66
x = 11
now, plug 11 in for 'x' into either expression and double it, since ∡LMN is made up of two equal angles
8(11) - 26 = 88 - 26 = 62
62 x 2 = 124
What is the volume of a prism if the area of its cross-section is 2 m² and its length is 7 m?
Answer:
14m^3
Step-by-step explanation:
Volume of the prism = base area * height
Given
Area of the cross section = 2m^2
Length = 7m
Substitute
Volume of the prism = 2 * 7
Volume of the prism = 14m^3
Hence the volume of the prism is 14m^3
If cos x= sin(20 + x)° and 0° < x < 90°, the value of xis
Answer:
draw a right angle triangle
Step-by-step explanation:
Let one of the angles be A
cos A = sin (90-A)
90 - x - 20 = x
2x = 70
x = 35 degrees
Give the sine, cosine, and tangent ratios for
both angle A and Angle B as a reduced fraction.
Answer:
sin A= 43.60 or 43 3/5 cos A= 43.60 or 43 3/5 tan A= 43 3/5
sin B= 46. 40 or 46 2/5 cos B= 46. 40 or 46 2/5 tanB= 46.40 or 46 2/5
Step-by-step explanation:
Hope this Helped
Factor the expression using the GCF 42-12
Find the indicated measurement
Answer:
11.2
Step-by-step explanation:
Given that the two triangles share an angle (bottom left), and since the sides opposite this angle are parallel, we can conclude that the triangles are similar.
Put one side length over another and equak to the corresponding side lengths of the other triangle:
28/15=?/6
?=6(28/15)=11.2
help quick
142 is what percent of 596?
(Write your answer as a percent rounded to the nearest tenth of a percent. Include the % on your answer.)
Answer:
23.8%
Step-by-step explanation:
Step 1: Divide 142 by 596;
The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:
142/596 = 142 ÷ 596 = 0.23825503355705
Step 2: Multiply 0.23825503355705 by 100
The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:
0.23825503355705 × 100 = 23.83
Step 3: Round 23.83 to the nearest tenth
To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.
23.83 rounded to the nearest tenth = 23.8%
pls answer fast. will give brainliest (v2)
Answer:
Account B principle for B=400, principle for A=200
Step-by-step explanation:
Use elimination to solve the system of equations.
x – y = 5
x + y = 3
a
(–4, –1)
b
(4, 1)
c
(–4, 1)
d
(4, –1)
Answer:what
Step-by-step explanation:
what
(x-4)^2=25 by taking the square root
Answer:
x = -1, 9
Step-by-step explanation:
[tex](x-4)^2=25\\x-4=\sqrt{25}\\[/tex]
x - 4 = ±5 (positive or negative 5, because (-5)^2 = 25)
x - 4 = 5
x = 9
or
x - 4 = -5
x = -1
x = -1, 9
How do I find the measure of each marked angle question 14
Answer:
x=38
Step-by-step explanation:
hope this helps!
if angles are on a line like that, both equations added up together will always be equal to 180.
like this:
2x-10+3x = 180
5x-10=180 (combine)
5x=190 (subtract 10 on both sides)
x=38 (divide both sides by 5)
Estimate the average rate of change from x=2 to x=5
Answer:
5x3x2y
Step-by-step explanation:
The average rate of change for the graph is 4/3 from x = 2 to x = 5.
What is Lagrange mean value theorem?Lagrange mean value theorem states that, if a function f is continuous over the closed interval [a, b] and differentiable over the open interval (a, b), then there must be at least one point c in the interval (a, b) where the slope of the tangent at the point c is equal to the slope of the tangent through the curve's endpoints, resulting in the expression f'(c) = {F(b) -F(a)}/(b-a)
According to the given graph,
At point x = 2,
F(2) = 3
At point x = 5,
F(5) = 7
Since the formula for the average rate of change of the function between x = a and x = b is,
The average rate of change = {F(b) -F(a)}/(b-a)
Here a = 2, b = 5 and F(2) = 3, F(5) = 7
Substitute the values in the formula,
So the average rate of change = (7 - 3)/(5 - 2) = 4/3.
Hence, the average rate of change of the function is 4/3.
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Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions
will maximize the area of the paddleball court?
Length
Width
L
а length - 20 m, width - 20 m
b. length - 13.33 m, width = 1334 m
C length - 10 m, width - 10 m
d. length - 10 m, width 20 m
Answer:
ffhhfhhfhhfhfhfhfhhfhhfhfhfhfhfhfhfhfhfhhfhfhfhfh
Answer:
lnfadvogbfvuvgayuvgalof
Step-by-step explanation:
asdbujvygadsoufyudgasoufgaedoyHOLA! HEY!! Can some one please help me with this quiz? I will give you brainlest.
A rectangle with an area of 8 ft² is dilated by a factor of 4.
What is the area of the dilated rectangle?
12 ft²
32 ft²
64 ft²
128 ft²
Answer:
I think the answer it is D
Which proportion would you use to solve the following problem?
A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map.
ILL MARK BRAINLEST
Answer:
They are 20 km away from each other,
Step-by-step explanation:
1cm=5km so 4cm=20km
Answer:
20km
Step-by-step explanation:
its like 1st grade math?
also im posting so you can give the other dude brainliest
How do I find the mean of a given set of numbers?
Answer:
Add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Step-by-step explanation:
:D
the length of the rectangle is x+2x-3 and the with is 5x+4. what is the perimeter of the rectangle
Answer:
[tex]2(8x - 7)[/tex]
Step-by-step explanation:
( x + 2x - 3)(2) + (5x + 4)(2) = 2x+4x-6+10x-8
= 16x - 14
= 2(8x-7) (when factorised/simplified)
4. The area of a rectangle is (x2+8x + 12) cm. If the
length of the rectangle is (x + 6) cm, show that is
breadth is (x + 2) cm.
Answer:
★ Given :
Area of triangle = x² + 8x + 12 cm²
length = (x+6)cm
★ To show :
breadth = (x+2) cm
★ Solution :
We know that,
Area of a rectangle = length × breadth
by putting values
(x² + 8x + 12) = (x+6) × breadth
by diving (x² + 8x + 12) into factors
using middle term splitting
x² + 6x + 2x + 12
x(x+6) + 2(x+6)
= (x+2)(x+6)
(x+2)(x+6) = (x+6) × breadth
Hence, verified..
Answer:
hope it helped have a good day mate
Find the area of the figure.
(Simplify Your Answer)
Answer:
7550 meter square
area of rectangle = Length x breadth= 130 x 20
= 2600 meter square
area of triangle = 1/2 x base x height
1/2 x (130-20)m x (130-40)m
1/2 x 110m x 90m
55 x 90
4950 metre square
area of rectangle + area of triangle
4950 + 2600
7550 meter square
$26,088,808.74 +
$34,311,887.98 =
Answer:60,400,696.72
Step-by-step explanation:
it just is...
(b) 33 is 75% of what number?
To test for a disease, technicians mix the blood samples from 8 people then test the mixture. The mixture will test positive for the disease if and only if one or more of the 8 blood samples in the mixture contains the disease. Find the probability that the mixture will test positive given that there is a 52% chance of any particular sample testing positive.
Answer:
Step-by-step explanation:
[tex]1-(0.52^8)\approx 0.99465402714[/tex]
Find the perimeter P of
JKLM
with vertices J(-3,-2),K(-5,-5),L(1.-5),M(3.-2) Round your answer to the nearest tenth
The radius of a cylindrical water tank is 4.5ft, and its height is 11ft. What is the volume of the tank?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
494.8
Step-by-step explanation:
Volume of cylinder = 2pierh + 2pier^2
= 2*3.14*4.5*13 + 2*3.24*4.5^2
= 494.8