resuelve los siguientes sistemas de ecuaciones lineales utilizando el método de igualación
SI ME AYUDAN CON UNA CAPTURA PORFA !
Answers
Answer:
A
Step-by-step explanation:
The solution is solved using Equalization methods. Hence the answer to A is such that y= -2 and x = 12
What is the Equalization method?The Equalization method refers to a method whereby a quantity that is unknown in two equations is isolated and equated.
The solution to equation one is thus given below:
[tex]\{ \mathrm{}_{x + 3y = 6}^{2x + 5y = 16}[/tex]
Step I - Isolate any two variables.
In this case, we will isolate x. Hence we will have:
2x + 5y = 16 → x = (16 - 5y)/2 .............................1
x + 3y = 6 → x = (7 - 3y) .............................2
From 1 and 2 above, we can see that both equations are now equal to x, Using the principle of transitivity, we can state that:
Since both formulas are now equal to x, therefore:
(16 - 5y)/2 = (7 - 3y)...............................3
Simplifying and collecting like terms from 3 above, we now have:
(16 - 5y) = 2(7 - 3y)
that is 16 - 5y = 14-6y
This will give us:
6y-5y= 14-16
y = -2
Step II - Substitute Y into any of the original equations to get x.
Recall that we have x + 3y = 6
Therefore, x = 6-3y
That is x = 6-3(-2)
x = 6 + 6 = 12
Hence, for Equation A, x = 12; y = -2
Equation B:
Using the same method, we arrive at: x =45; and y = -3
Equation C:
Using the same method, we arrive at: x = 2; and y = 0
Learn more about Equalization Method at:
https://brainly.com/question/12937960
#SPJ2
Related Questions
A florist makes a bouquet made up of 7 roes 12 carnations and 5 lilies what is the ratio of roses to flowers that are not roses
Answers
answear is 7/17 hope its useful
Tell whether the relation is a function. Explain.
Answers
g(x) = x3 - 4
h(x) = x2 + 2
Find h(-2) - g(-1)
Answers
Answer:
11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x³ - 4
h(x) = x² + 2
h(-2) is x = -2
g(-1) is x = -1
Step 2: Find h(-2) - g(-1)
Substitute: ((-2)² + 2) - ((-1)³ - 4)Exponents: (4 + 2) - (-1 - 4)Add/Subtract: 6 - (-5)Subtract: 11what fraction is equal to 5%
Answers
Answer:
5/100
1/20
Step-by-step explanation:
Answer: 5/100
Step-by-step explanation:
Which equation is represented by the graph below
Answers
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))
Answers
Answer:
2x - 4
Step-by-step explanation:
f(x) = x - 7
= 2x + 3 - 7
= 2x - 4
а) 6x = 7y
Can someone help
Answers
Answer:
36 x 2 - 49 y 2
Step-by-step explanation:
6 x (6x) +6 x ( - 7 y ) + 7 y (6x) +7 y ( - 7 y)
What is 20% of $10
Answers
20% of 10 is 2
PLS i need help !
Rewrite the equation in vertex form and identify the vertex, the axis of symmetry, and the y-intercept. y=-2x^2+12x-26
Answers
Answer:
The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].
The expression of the axis of symmetry is [tex]x = 3[/tex].
The y-intercept of the function is -26.
Step-by-step explanation:
The vertex form of the second order polynomial is defined by the following expression:
[tex]y-k = C\cdot (x-h)^{2}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]h,k[/tex] - Coordinates of the vertex, dimensionless.
[tex]C[/tex] - Vertex constant, dimensionless.
Let [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex], then we proceed to present the produre for the determination of the vertex form:
1) [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex] Given
2) [tex]y = (-1)\cdot (2\cdot x^{2})+(-1)\cdot (-12\cdot x) + (-1)\cdot (26)[/tex] [tex](-a)\cdot (-b) = a\cdot b[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]
3) [tex]y = (-1)\cdot (2\cdot x^{2}-12\cdot x +26)[/tex] Distributive property
4) [tex]y = [(-1)\cdot (2)]\cdot (x^{2}-6\cdot x +13)[/tex] Associative and distributive properties
5) [tex]y = (-2)\cdot [(x^{2}-6\cdot x+9)+4][/tex] [tex](-a)\cdot b = -a\cdot b[/tex]
6) [tex]y = (-2) \cdot [(x-3)^{2}+4][/tex] Perfect square trinomial
7) [tex]y = (-2)\cdot (x-3)^{2}+4\cdot (-2)[/tex] Distributive property
8) [tex]y = (-2)\cdot (x-3)^{2}+(-8)[/tex] [tex](-a)\cdot b = -a\cdot b[/tex]
9) [tex]y +8= (-2)\cdot (x-3)^{2}[/tex] Compatibility of addition/Existence of the additive inverse/Modulative property/Result.
The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].
The axis of symmetry is a line perpendicular to axis in which the square component of the vertex form is set. The expression of the axis of symmetry is [tex]x = 3[/tex].
The y-intercept is the value of the polynomial when [tex]x = 0[/tex], then, the value is:
[tex]y = -2\cdot (0)^{2}+12\cdot (0) -26[/tex]
[tex]y = -26[/tex]
The y-intercept of the function is -26.
29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.
A. (4+5i)(4-5i)
B. (4+91)(41-9)
C. (3+2i)(3-2i)
D. (2i+5i) (21-3)
E. (312+7i) (312-7i)
F. (3i2+7i)(312+7i)
Answers
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
What is the length of the diagonal for the given rectangular prism to the nearest whole unit? A) 10 cm B) 11 cm 6 cm D) 13 cm
Answers
Hi there! :)
[tex]\large\boxed{\text{B. 11 cm.}}[/tex]
Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:
a² + b² = c²
Use the length and width in the equation:
8² + 3² = c²
64 + 9 = c²
73 = c²
c ≈ 8.54 cm
Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:
(8.54)² + 7² = c²
73 + 49 = c²
122 = c²
√122 = c
c = 11.05 ≈ 11 cm. The correct answer is B.
During final exam weeks, many college students exercise to fuel their study sessions. Data from a recent survey are shown in the Venn diagram. Let M be the event that the student exercises in the morning and let A be the event that the student exercises in the afternoon.
A Venn diagram titled exercise habits. One circle is labeled M, 0.25, the other circle is labeled A, 014, the shared area is labeled 0.37, and the outside area is labeled 0.24.
What is the probability that a randomly chosen college student exercises in the morning or afternoon?
0.37
0.39
0.62
0.76
Answers
Answer:
WARNING! .39 AND .76 IS WRONG.
THE PEOPLE ABOVE ARE INCORRECT.
THE ANSWER IS EITHER .37 OR .62
I believe the correct answer is .62 --> .25 + .37 = .62 . This also makes sense.
(C)
ED2021
The probability that a randomly chosen college student exercises in the morning or afternoon are 0.37.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomesFrom the given Venn diagram, we see that
Probability that the student exercises in the afternoon
P(A) = 0.14 + 0.37 = 0.51
Probability that the student exercises in the morning
P(M) = 0.25 + 0.37 = 0.61
Now, the probability that a randomly chosen college student exercises in the morning or afternoon
P(A ∩ M) = 0.37
Learn more about probability here;
https://brainly.com/question/11234923
if 1 euro is 1.07$ us dollars then what is 4.00 us dollars in euros
please help
Answers
Answer:
3.26 Euro I believe.
Step-by-step explanation:
30 PTS
a. 59
b. 36.9
c. 53.1
d. 30.1
Answers
Answer:
c)
Step-by-step explanation:
i need some help here
Answers
Answer:
the answer above is correct
Answer:
boxes
7
8
58.1
119.7
Step-by-step explanation:
look when u solve this it equals
8.3(7)+7.7(8)=119.7 but it tells u to add 61.6 so u go backwards subtract
119.7-61.6
58.1
just plug in
8.3(7)+7.7(8)=____+61.6
plug in
58.1+61.6
119.7
What is the equation for the line in slope-intercept form? will give brainliest
Enter your answer in the box.
Answers
Answer:
y = 8x
Step-by-step explanation:
The slope is 8, the y-intercept is 0. The slope-intercept form is written:
y = mx + b
So this situation would be written y = 8x + 0 or just y = 8x.
Hope it helps!
Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46
Answers
[tex]f(x)=2x^2+6x-4[/tex]
Find the f(-5) by substituting x = -5 in the equation.
[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]
Therefore, the answer is f(-5) = 16.
Select the best answer for the question.
18. Simplify 12 - (-8) x 4 = ?
O A. 44
B. 80
O C. 16
O D.-20
Mark for review (Will be highlighted on the review page)
<< Previous Question
Ne Question >>
Answers
12-(-8)x4
(-8)x4=-32
12- -32=
12+32= 44
please help will mark BRAINLIEST
Answers
say a number between 1 and 10 if u guss right u get brainlist
Answers
i need this to be more than 20 characters long help
While shopping Lucy spent 48$. If the amount she spent was 15% of her savings how much savings did she have. Before she shopped
Answers
Answer:
im not sure but i think its 55.2
Step-by-step explanation:
48+15%=55.2
Use the balanced hanger diagram to choose the equations
that best represents how to find the mass of the square.
A. 5t = 42
b. x + 27 = 4x + 15
C. 5t = 36
d. x + 15 = 4x + 12
Answers
Answer:jkcv
ijfklgjk
Step-by-step explanation:
vn vvcxkhvxcl
Part A. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)x2 + 2y2 = 17k2Part B. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)y2 = 7kx3
Answers
Answer:
Following are the solution to the question:
Step-by-step explanation:
The objective is to find the orthogonal trajectory of the family curves:
[tex]x^2+2y^2=17k^2[/tex]
The family curves are: [tex]x^2 + 2y^2=17k^2[/tex]
Differentiate the equation with the respect of x.
[tex]\to x^2+2y^2=17k^2 \\\\\to 2x+4y \frac{dy}{dx} =0\\\\\to \frac{dy}{dx} =- \frac{2x}{4y}\\\\\to \frac{dy}{dx} =- \frac{x}{2y}[/tex]
The negative reciprocal is:
[tex]\to \frac{dy}{dx} =-\frac{1}{-\frac{x}{2y}}\\\\\to \frac{dy}{dx} = \frac{2y}{x}[/tex]
Integration of the above equation:
[tex]\to \frac{dy}{dx} = \frac{2y}{x} \\\\\to \int \frac{dy}{2y} = \int \frac{dx}{x}\\\\\to \frac{1}{2} \log y = \log x + \log C\\\\\to \log y = 2 \log x + 2\log C \\\\\to \log y = \log x^2 +\log C^2 \\\\\to y = Ax^2 \ \ \ \ \ \ \ \ \ (A=C^2)[/tex]
Hence, the orthogonal trajectory of the family of the curves [tex]x^2 + 2y^2 =17k^2 \ \ is \ \ y=Ax^2[/tex]
I will GIVE BRAILYEST
Mario has 20 yards to mow this week. By Wednesday, he had mowed 50%or the yards. How many yards had he mowed by Wednesday?
2
5
10
15
Answers
Answer: 10 yards
Step-by-step explanation: 50% = 1/2
1/2 x 20 = 10
15 yeards mowed by Wednesday
graph the line whose x-intercept is -6 and whose y-intercept is -7
Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
When the intercepts are given, plot those and draw a line through them.
_____
Additional comment
The equation shown with the graph is the equation of a line in "intercept form." It is especially useful in a case like this where the intercepts are given.
Please give me the correct answer
Answers
Answer: Many people assume that because DNA is so small, we can't see it without powerful microscopes. But in fact, DNA can be easily seen with the naked eye when collected from thousands of cells.
What is the length of the unknown leg in the right triangle
Answers
Answer:
i think it might be 15m
Step-by-step explanation:
The table below shows the number of eggs needed for several servings of a recipe.
Number of
Eggs
Servings
3
18
6
36
9
54
How many eggs are needed for 90 servings?
A. 12 eggs
B. 15 eggs
O C. 18 eggs
OD. 21 eggs
Answers
Explanation: For all of the data shown on the table if you divide each of the servings by the amount of eggs it equals to 6 so to find the answer to 90 servings you have to go individually and divide 90 by each one to see which one equal 6 to match up with the rest of the table
Constructing a frequency distribution for grouped data
Ten cyclists were each asked the distance in miles they biked last week.
Their responses are given below.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of distances in that class.
(Note that we are using a class width of 5.)
Distance in miles
Distance in miles
Frequency
3
20
6
3
7
8
13
10
18
12
6 to 10
11 to 15
16 to 20 and 1 to 5
Answers
The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.
We need to complete the grouped frequency distribution for the data.
What is the grouped frequency distribution?In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.
Now, the frequency distribution for the given intervals is as follows:
That is, for intervals 1 to 5 the frequency is 2.
For intervals 5 to 10 the frequency is 4.
For intervals 11 to 15 the frequency is 2.
For intervals 16 to 20 the frequency is 2.
Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
To learn more about the grouped frequency distribution visit:
brainly.com/question/4679134.
#SPJ2
A table of values of a linear function is shown below.
Answers
Answer:
Slope is -2
y intercept is -3
Equation :y=-2x-3
Step-by-step explanation: