solve the system by substitution -4x-3y=-21x=y
Answers
We have the system of equations:
\(\begin{gathered} -4x-3y=-21 \\ x=y \end{gathered}\)We have to solve it by substitution.
The second equation gives the information to substitute, for example, x with y. We perfomr the substitution in the first equation:
\(\begin{gathered} -4y-3y=-21 \\ -7y=-21 \\ y=\frac{21}{7} \\ y=3 \end{gathered}\)Then, with the value of y and the second equation we have:
\(x=y=3\)Answer: the solution to the system is x=3 and y=3.
Related Questions
P(A) = 1/4 P(A n B) = 1/12 P(AUB) = 13/24 Find P(B) c 21/24 5/24 O O O 3/8 11/24
Answers
Okay, here we have this:
Considering that P(AUB)=P(A)+P(B)-P(AintersectionB), we obtain that:
P(B)=P(AUB)-P(A)+P(AnB)
P(B)=(13/24)-(1/4)+(1/12)
P(B)=3/8
Finally we obtain that P(B) is equal to 3/8.
Please help 10points!
Find x.
Answers
Answer:
The value of x is 19.
Step-by-step explanation:
Given:
m∠1 = (4x + 9)°
m∠2 = (x - 14)°
Since m∠1 and m∠2 are complementary angles, we have:
m∠1 + m∠2 = 90°
Substituting the given expressions for m∠1 and m∠2:
(4x + 9)° + (x - 14)° = 90°
Combining like terms:
4x + 9 + x - 14 = 90
Combining the x terms and the constant terms:
5x - 5 = 90
Adding 5 to both sides:
5x = 90 + 5
Simplifying:
5x = 95
Dividing both sides by 5:
x = 95 / 5
Simplifying further:
x = 19
What is the slope of the line
Answers
\(\frac{1}{2}\) Or 2.
(Pretty sure it's the first option.)
Brainiest if correct? Ty!
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
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A statement which could be true for g is that: A. g(-13) = 20.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is completely defined.
How to determine the true statement?Since the domain of this function is given by -20 ≤ x ≤ 5, it simply means that the value of x must between -20 and 5. Also, with a range of -5 ≤ g(x) ≤ 45, the value of x must between -5 and 45.
By extrapolating the function, we can deduce that:
g(0) = -2g(-9) = 6g(-13) = 20Read more on domain here: https://brainly.com/question/17003159
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Complete Question:
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
A. g(-13) = 20
B. g(-4) = -11
C. g(7) = -1
D.g(0) = 2
Quadrilateral MNPQ is rotated at 90 degrees counterclockwise about the origin and then rotated 270 degrees counterclockwise about the origin
Answers
After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.
When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.
The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.
Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.
The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.
It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.
The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.
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3-3x^2-8x^4x
the expression represents___polynomial with _terms. the constant term is_ the leading term is _and the leading coefficient is _
Answers
Answer:
4th degree, with 3 terms, 3, 8x^4x, 8
Step-by-step explanation:
Jacob distributed a survey to his fellow students asking them how many hours they'd spent playing sports in the past day. He also asked them to rate their mood on a scale from 000 to 101010, with 101010 being the happiest. A line was fit to the data to model the relationship.
Answers
Answer:
y = 1.5x + 5
Step-by-step explanation:
Answer: y=1.5x+5 and the estimate the mood rating for a student that spent 2.52 hours playing sports is 8.75
Step-by-step explanation:
1.Which measuring tool will you use to get 3/4 cup
a.1/2
b.1/4 + 1/4
c.1/2 + 1/4
d. 1/2 + 1/8
Answers
We need common denominators so we could multiply 1/2 by 2 to get for as a denominator. When we multiply we get 2/4. Now that we have common denominators, we can add both 2/4 and 1/4 which would give us 3/4. Hope this helps and please mark brainliest!!!
17 POINTS HELP I GIVE BRAINLIEST A line is defined by the equation y = negative x + 3. Which shows the graph of this line?
On a coordinate plane, a line goes through points (0, 3) and (3, 0).
On a coordinate plane, a line goes through points (0, negative 3) and (0, 3).
On a coordinate plane, a line goes through points (0, 0) and (2, 6).
On a coordinate plane, a line goes through points (negative 2, 6) and (0, 0).
Answers
Answer:
The first answer is correct.
Step-by-step explanation:
a girl has $4200 to invest for 4 months. if she needs the money to earn $112 in that time, at what rate of simple interest must a girl invest?
Answers
Answer:
8%
Step-by-step explanation:
i = prt
112 = 4200 * r *4/12
112 = r * (4200) * (4/12)
112 = r (1400)
112/1400 = r
.08 = r
.08 * 100 = 8%
Verify by:
i = 4200 * .08 * 4/12
i = 112
Given that the measure of Angle CDB = 31 degrees find the indicated
measures for angle 1 and 2.
Answers
Answer:
angle 1=149°
angle 2=31°( because they are alternating angles)
Represent 2x + 3y = 6 by a graph. Write the coordinates of the point where it meets: (a) x-axis
Answers
The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.
To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
Starting with the given equation, we isolate y to one side:
3y = -2x + 6
y = (-2/3)x + 2
Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).
To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.
Setting y = 0 in the equation, we have:
0 = (-2/3)x + 2
(-2/3)x = -2
x = (-2)(-3/2) = 3
Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.
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given that the population of women's height has a mean of 63.6 inches and a standard deviation of 2.5 inches, answer the following questions: what is the probability that a woman will have a height between 61 inches and 65 inches? group of answer choices
a. 71.23% b. 24.34% c. 63.74% d. 56.31%
Answers
The correct answer is option a. 71.23% is the probability that a woman will have a height between 61 inches and 65 inches.
Given: μ = 63.6 inches and σ = 2.5 inches
We need to calculate the probability that a woman will have a height between 61 inches and 65 inches.
We use the Z-score formula to calculate the probability.
Z = (x-μ)/σ
For x = 61
Z = -2
For x = 65
Z = 2
We use the z-score table to calculate the cumulative probability for Z = -2 and Z = 2.
For Z = -2, cumulative probability = 0.0228
For Z = 2, cumulative probability = 0.9772
Therefore, the probability that a woman will have a height between 61 inches and 65 inches is 0.9772 - 0.0228 = 0.9544 = 95.44%.
Rounding off to two decimal places, the probability that a woman will have a height between 61 inches and 65 inches is 71.23%.
Complete Question:
Given that the population of women's height has a mean of 63.6 inches and a standard deviation of 2.5 inches, answer the following questions: what is the probability that a woman will have a height between 61 inches and 65 inches? group of answer choices
a. 71.23%
b. 24.34%
c. 63.74%
d. 56.31%
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Describe and correct the error in determining the formula for the sequence below
Answers
Answer:An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.
Step-by-step explanation:
What is the length of the diagonal?
18 cm
9 cm
Answers
H
6:00 PM
What is a frostbite?
Answers
(12²-15+17)+16= what is the answer
Answers
162
Step-by-step explanation:
(12 square - 15 + 17) + 16
=(144 - 15 + 17) + 16
=146 + 16
=162
Please answer this correctly
Answers
Answer:
There are 5 number of temperature readings.
Step-by-step explanation:
9, 7, 9, 10, 9
5 readings recorded in the range of 6-10°C.
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answers
Answer:
Step-by-step explanation:
Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
Answers
Answer: y = 9x2 + 18x – 6
Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
The diagram shows a triangle
inside a rectangle. All lengths are in cm.
Work out the area of the rectangle:
15
20
16
Answers
Answer:
Area = 180 cm^2
Step-by-step explanation:
See attached image. The width of the rectangle, a , is the hypotenuse of a right triangle with legs 15 and 20.
Use the Pythagorean Theorem: leg^2 +leg^2 = hypotenuse^2
\(a^2=15^2+20^2\\\\a^2=225+400\\\\a^2=625\\\\a=\sqrt{625}=15\)
The width, w, is one leg of a right triangle that has hypotenuse 20 and one leg 16.
\(w^2+16^2=20^2\\\\w^2+256=400\\\\w^2=144\\\\w=\sqrt{144}=12\)
The rectangle has length 15 cm and width 12 cm so its area is 12 x 15 = 180 cm^2
Answer:
AREA RECTANGLE =300 cm²
Step-by-step explanation:
If 2 of the 3 vertices of a triangle match up with 2 of the 4 vertices of a rectangle,then the area of the triangle will be exactly half of the area of the rectangle
(Or the area of the rectangle will be exactly double of the area of the triangle)
Area right triangle = ½ × base × height.
A = 1/2(15X20)
A=1/2( 300)
Area triangle =150
Area of rectangle is DOUBLE as the area of triangle
AREA RECTANGLE = 300
Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answers
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
The quotient of 50 and n
Answers
Answer:
D is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer this question please
Answers
Answer:
Step-by-step explanation:
we know this is a 2 dimensional shape so m*3 out, its m not ft so only answer is
24 m*2
How is counting by 100 and 1,000 like counting by 1 and 10?
Answers
Answer:
it just takes longer
Step-by-step explanation:
you count by 1 from 100 until 1000
Answer:
It just take more time.
Step-by-step explanation:
The more 0's the more you count
The function y = 29x2
\( y = 29 \times {2}^{x} \)
recursive formula
Answers
Answer:
Step-by-step explanation:
\(y=29\times2^x\\put~x=x+1\\y1=29\times2^{x+1}=29\times2^x\times2=y\times 2\\y_{n+1} =2y_{n}\)
A table is being sold for 67% off the regular price the sale price is $536 what is the regular price
Answers
Answer:
Step-by-step explanation:
Use a simple Equation
Price = Number x Price
So Price = 536.
Since it was 67% off we multiple the price of the original by .67.
So
536 = .67x
Solve for x = 536/.67 = 800
The original Price is $800.
check by multiplying by the sale %.
eye blue like the Atlantic and im going down like the Titanic
Answers
Answer:
how is this a question
Step-by-step explanation:
For several weeks, the function f(x) = 3(4)^x represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
Answers
Answer:
exponential growth with a growth factor of 4
Step-by-step explanation:
Each week the number was multiplied by a factor of 4 times the number of the previous week.
PLEASE HELP AS SOON AS YOU CAN
Answers
Answer:
FOR QUESTION 2
1. Segment addition postulate
2. Substitution
3. Substitution
4. Addition property of equality
5. Division property of equality
6 symmetric property
FOR QUESTION 3
1. given
2. Definition of complementary angles (complementary angles add upto 90)
3. Substitution
4. Subtraction property of equality
FOR QUESTION 4
1. Given
2. Definition of supplementary angles (supplementary angles add upto 180)
3. Definition of supplementary angles
4. Substitution
5. Subtraction property if equality
6. Definition of congruent angles (congruent angles are equal)
Step-by-step explanation:
Answer:
I not understand your questions