Given the system of the equation below;
\(\begin{gathered} 8x+y=-16----(1) \\ -3x+y=-5----(2) \end{gathered}\)We can use the elimination method to solve the systems of equations
Step 1: Subtract equation 2 from equation 1 and solve for x
\(\begin{gathered} 8x+y-(-3x+y)=-16-(-5) \\ 8x+y+3x-y=-16+5 \\ 11x=-11 \\ \frac{11x}{11}=-\frac{11}{11} \\ x=-1 \end{gathered}\)Step 2: Sustitute x = 1 in equation 1
\(\begin{gathered} 8(-1)+y=-16 \\ -8+y=-16 \\ y=-16+8 \\ y=-8 \end{gathered}\)Therefore, the solution to the system of equation is
\((-1,-8)\)find whether the following are sides of a right angled triangle
Answer:
17^2 =8^2 + 5^2=
17 x 17=8x8+5x5
289=64+25
289=89
no ,it is not right angle triangle
17^2=8^2 + 15^2
17 x17=8 x8+15x 15
289=64+225
289=289
yes ,it is right angle triangle
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Step-by-step explanation:
Sarah invests $6000 in an annually compounded account with an interest rate of 1.7% for 8 years. what is the balance of her account after those 8years? Round to the nearest dollar. Do not round until the final step
Compute P(7,4).Multiple choice:a. 35b. 28c. 210d. 840e. none of these choices
The correct answer is d. 840
The problem ask us to compute the permutations of 7 objects in groups of 4.
To compute this, we use the formula:
\(P(n,r)=\frac{n!}{(n-r)!}\)Then for P(7,4):
\(P(7,4)=\frac{7!}{(7-3)!}=\frac{5040}{3!}=\frac{5040}{6}=840\)Then P(7,3) = 840
Your teachers work at least 50 hours a week. 40% ofthat time is spent teaching students. How many hoursare teachers teaching?
The teacher works 50hours/week → this is the 100% of their work time.
40% of those 50hours/week they spend teaching their students, to calculate how many hours that is you can use cross multiplication_
100%_______50hours/week
40%_______x hours/week
\(\begin{gathered} \frac{50}{100}=\frac{x}{40} \\ x=(\frac{50}{100})\cdot40 \\ x=20 \end{gathered}\)The teachers spend 20hours/week teaching their students.
X+y when x =11 and y= 6.4
Answer:
(x=11) + (y=6.4)
=11+ 6.4
=17.4
(ECONOMICS- sorry there’s no button for it )
What motivates producers and consumers in the black market
The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.
The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:
High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.
Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.
Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.
Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.
Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.
However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.
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Solve the inequality
-3/2(x-1/3)>1/5-5x
Answer:
x>-3/35
Step-by-step explanation:
Answer: x > -3/35
Step-by-step explanation:
\(-\frac{3}{2}\left(x-\frac{1}{3}\right)>\frac{1}{5}-5x\)
\(=-\frac{3}{2}x+\frac{1}{2}>\frac{1}{5}-5x\)
\(=-\frac{3}{2}x+\frac{1}{2}-\frac{1}{2}>\frac{1}{5}-5x-\frac{1}{2}\)
\(=-\frac{3}{2}x>-5x-\frac{3}{10}\)
\(-\frac{3}{2}x+5x>-5x-\frac{3}{10}+5x\)
\(\frac{7}{2}x>-\frac{3}{10}\)
Multiply both sides by 2:
\(2\cdot \frac{7}{2}x>2\left(-\frac{3}{10}\right)\)
\(7x>-\frac{3}{5}\)
Divide both sides by 7:
\(\frac{7x}{7}>\frac{-\frac{3}{5}}{7}\) --> (-3/5 * 1/7 = -3/35)
\(x>-\frac{3}{35}\)
Gabrielle is 7 years older than Mikhail. The sum of their ages is 85. What is Mikhail's age?
do anyone know the answer?
Answer:
C.
Step-by-step explanation:
To find which table is correct, you first have to plot the graph. First, pick some easy points on the X axis to graph. Some of these points could be -4, 0 and 4. Now you need to fill in the equation.
Y = -1/2*-4 - 2 = 0
Y = -1/2*0 - 2 = -2
Y = -1/2*4 - 2 = -4
Now you can plot the points and draw your line. Once you have done this, you check each table and see if all the points match up. Doing so would give you answer C.
Also the graph from the equation can be seen below
I need help with this today
Express cos M as a fraction in simplest terms.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{30}\\ a=\stackrel{adjacent}{MN}\\ o=\stackrel{opposite}{18} \end{cases} \\\\\\ MN=\sqrt{ 30^2 - 18^2} \implies MN=\sqrt{ 576 }\implies MN=24 \\\\[-0.35em] ~\dotfill\\\\ \cos(M )=\cfrac{\stackrel{adjacent}{24}}{\underset{hypotenuse}{30}} \implies \cos(M)=\cfrac{4}{5}\)
the sum of three numbers is 112. the third number is 3 times the first. the second number is 7 more than the first. what are the numbers?
Answer:
all the would need water becouse water is the main reason to get live
what is the inverse operations of -5x + 10 = 40
Answer:
x=-6
Step-by-step explanation:
−5x+10=40
−5x+10−10=40−10
−5x=30
−5x/5=30/5
x=−6
what multiplies to -65 and adds to -8
Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.
Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:
Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.
Write down the equation x + y = -8.
Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.
Substitute this expression for x into the first equation: (-8 - y) * y = -65.
Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.
Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).
This gives us two possible values for y: -13 and 5.
Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.
So, the two numbers that multiply to -65 and add to -8 are -13 and 5.
-1.3125 as a fraction in simplest form
Answer: - 21/16 = 15/16 (simplified)
= - 1.3125 convert decimal to fraction
= - 13125/10000
= - 21/16 = 15/16 (simplified)
N
B
(a) Name the vertex of 21.
(b) Name the sides of ABC.
0
(c) Write two other names for 2.
(a) The vertex of ∠1 is B.
(b) The sides of ∠ABC are BA and BC.
(c) Two other names for ∠2 are ∠CBD and ∠DBC
How to name the vertex of ∠1 and name the sides of ∠ABC?In geometry, the vertex of an angle is the common endpoint of the two rays that form the angle. The rays that form the angle are called the sides of the angle.
In the figure, the point B is the vertex of the angle ∠ABC (angle ∠ABC is equal to ∠1). The sides of the angle are BA and BC.
Thus, the vertex of ∠1 is B.
The sides of ∠ABC are BA and BC.
Two other names for ∠2 are ∠CBD and ∠DBC
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Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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Keith works 8 hours per day for 5 days per week. Melba works 2,250 minutes each week. who spends more time at work?
can somebody help me !
Answer:
\( \angle 1\)
Step-by-step explanation:
\( \angle 1\) is not congruent to \( \angle 6\)
Please please help me
Answer:
2a squared - 4a
Step-by-step explanation:
12 a^2 - 3a - 10a^2 - a
12 - 10 = 2
-3 - 1 = -4
2a^2 - 4 a
A number is between 39 and 44. it has prime factors of 2, and 11. what is the number?
Answer:
44
Step-by-step explanation:
because 44 is the only number in the 11 times table between 39 and 44
it is also a 2 time table
Answer:
the number is 44.it is the only number that
has factors of 2 and 11 that is between 39 and 44.
Given segment AB with A(-2, 5) and B(1, 1), which is the slope of the line parallel to
segment AB?
Answer:
4/3
Step-by-step explanation:
We find the slope of line AB
Slope = Rise/Run
= 1-5/1+2
= 4/3
We need to use the property that slopes of parallel lines are same. thus the slope of the line parallel to segment AB = 4/3
What is the measure of x
Answer:
58 degrees
Step-by-step explanation:
XYZ is 90 degrees. XYO is 32 degrees. Angle x takes up the space leftover in the right angle, so simply subtract 32 from 90.
90-32= 58
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What is the probability of rolling a 2 or a 4 on a 6 section spinner?
Which equation is represented by the graph?
y = -|x| + 2
y=-|x-2|
y=- |x|- 2
y=-|x+2|
Answer:
\(y = - |x| + 2\)
Step-by-step explanation:
The graph is similar to Parabola. The transformation of graph is also similar to Parabola.
For B choice, the graph doesn't move by y-axis.
For C choice, the graph would have max-point at -2.
For D choice, similar to the B choice.
What is the value of x?
A-14
B-26
C-35
D-69
Answer:
14
Step-by-step explanation:
Graph the line with the equation y = -1/5 x + 4.
the equation straight line y = -1/5 x + 4. of the line drawn in the picture is attached below.
What is equation straight line?
There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1).
The given equation y = -1/5 x + 4.
Here m = -1/5
and c= 4
So the plot on the graph will be as fallow.
Hence the equation of the line drawn in the picture attached below
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9t+6
in standard form. asap!
The equation -6 = 0 is not true, which means that there is no solution to the equation 9t+6 in standard form. This is because we cannot write the equation in the form \(ax + by = c\) , since there is no value of c that would satisfy the equation.
What is the expression to have the variables?To write 9t+6 in standard form, we need to rearrange the expression to have the variables first, followed by the constant term. The standard form of a linear equation is:
\(ax + by = c\)
where a, b, and c are constants, and x and y are variables.
To rearrange 9t+6, we first need to group the t term and the constant term together. We can do this by adding 0t to the expression:
\(9t + 0t + 6\)
Now, we can rearrange the terms so that the variable term comes first:
\(9t + 0t = 9t\)
Finally, we can write the expression in the standard form:
\(9t + 0t = 9t + 6\)
This can be simplified further by removing the 0t term:
\(9t = 9t + 6\)
We can now move the constant term to the other side of the equation by subtracting 6 from both sides:
\(9t - 6 = 9t + 6 - 6\)
\(9t - 6 = 9t\)
\(-6 = 0\)
Therefore, The equation \(-6 = 0\) is not true, which means that there is no solution to the equation \(9t+6\) in standard form. This is because we cannot write the equation in the form \(ax + by = c\) , since there is no value of c that would satisfy the equation.
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1) Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of -3. Then graph the line. 2) Write an equation in point-slope form of the line with slope -3/5 that contains(-10 ,8). Then graph the line.
Answer:
An equation in the slope-intercept form is:
y = a*x + b
Where a is the slope, and b is the y-intercept.
a)
Here we have a slope of 6 and a y-intercept of -3
Then the equation is:
y = 6*x - 3
Now we want to graph this.
To graph it, we first need to find two points (x, y) that belong to this equation, then we can graph the points, and connect them with a line.
To find the points, we evaluate in two different values of x.
x = 0
y = 6*0 - 3 = -3
Then we have the point (0, -3)
x = 1
y = 6*1 - 3 = 3
Then we have the point (1, 3)
The graph of this line can be seen in the image below (the red one)
b) Similar to before, here the slope is -3/5, then the equation is something like:
y = (-3/5)*x + b
Now we also know that the line passes through the point (-10, 8)
This means that when x = -10, we must have y = 8
Replacing these two in the equation we get:
8 = (-3/5)*-10 + b
8 = 6 + b
8 - 6 = 2 = b
Then this equation is:
y = (-3/5)*X + 2
The graph can be found in the same way as before, the graph of this function can also be seen in the image below (the green one)
\(\bold{Heya...}\)
\(\mathtt{8}\) ÷ \(\mathtt{2(2\: + \:2)}\)
Explain into your own words.
Thanks~
8 ÷ 2 ( 2 + 2 )
= 4 ( 4 )
= 16
Hope Helpful ~
Answer:
\(\bold{♣️ANSWER♣️}\)
\(\mathtt{8}\) ÷ \(\mathtt{2(2\: + \:2)}\)
\( \mathtt{8 \div 2(4)}\)
\(4(4)\)
\(4 \times 4\)
\(16\)
Step-by-step explanation:
The order of operations: Bracket, Of, Division, Multiplication, Addition ans Subtraction.
The order of operations are:
1.B-------->Brackets-order: bar/vinculum,(),{},[]
2.O-------->Of
3.D-------->Division
4.M-------->Multiplication
5.A-------->Addition
6.S-------->Subtraction
Thus,we may remember 'BODMAS' as a rule where 'O' stands for Of.
Any expression within the brackets must be evaluated first, before it undergoes any operation outside the bra kets.
The order of brackets is square brackets,braces or curly brackets,parenthesis or circular brackets,bar or vinculum and these are removed from within.
If the expression within the brackets is preceded by a '+' sign then we can remove the brackets without changing the sign of any term of the expression.If the expression within the brackets is preceded by a '-' sign then we can remove the brackets by changing the sign of each term of the expression.\( \frak{\pink{Seolle...a_{phrodite}}}\)