Given:
[tex]y=-\frac{2}{9}x+3[/tex]The equation above is written in slope intercept form:
y = mx + b
To rewrite in standard form, use the standard form of linear equations below:
Ax + By = C
Thus, we have:
[tex]y=-\frac{2}{9}x+3[/tex]Multiply through by 9 to eliminate the fraction:
[tex]\begin{gathered} 9y=(-\frac{2}{9}x\ast9)+(3\ast9) \\ \\ 9y=-2x+27 \end{gathered}[/tex]Add 2x to both sides:
[tex]\begin{gathered} 2x\text{ + 9y = -2x + 2x + 27} \\ \\ 2x\text{ + 9y = 27} \end{gathered}[/tex]Therefore, the equation in standard form is:
2x + 9y = 27
ANSWER:
D. 2x + 9y = 27
GEOMETRY! PLEASE HELLPPP
Answer: It would be Figure L
Step-by-step explanation:
It is supposed to be reflected off the y-axis and the only shape in that same box across is Figure L. So there, have a nice and blessed day!
Answer:
Figure L
Explanation:
It's reflected across the y-axis. The y-axis is a vertical line
Sherry has 40% as much money as Anna. Anna has $80?
Sherry has $112.
bo
Answer: Sherry has $112
The Organic Produce Stand sells bundles of tomatoes ($8) and bunches of green beans ($5). If
yesterday's total sales were $464 and people bought 3 times as many tomato bundles as green bean
bunches, how many bundles of tomatoes were sold?
Therefore, number of bundles of tomatoes which was sold as selling price are: 225.5
What is selling price or sale?
In mathematics, the term selling price can be explained with the help of profit which states, as the amount which is on the commodity and in the form of standard price called selling price. For the profit, the amount of the commodity can be designed by the shopkeeper which is bigger amount as per the cost price.
According to the question, the organic producer sells bundle of tomatoes as the selling price of $8 and the bunches of green beans as $5.
Total sales amount is: $464
In this, people bought three times more tomatoes as green bean bunches.
Let us assume tomatoes be 'x' and green beans be 'y'
3x + y = $464
x + y = $13
⇒ 2x = 451
⇒ x = 225.5 dollars
Therefore, number of bundles of tomatoes which was sold as selling price are: 225.5 dollars
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Solve the following compound inequalities. Use both a line graph and interval notation to write each solution set.
The required value of t is (-∞, -6) U (4, ∞).
What is a linear inequality and how is it solved?
Expressions with linear inequalities compare any two values using inequality symbols like "<" and ">." The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. Polynomial inequality, rational inequality, and absolute value inequality are the several types of inequalities that exist in mathematics.
First, create an equation for the inequality. The given equation must be solved for one or more values. Represent all of the values that you found on the number line now. On the number line, use open circles to symbolize the excluded values. the interval, then. To determine whether the values satisfy the inequality equation, substitute any random value from the interval into the inequality equation. The solutions of the given inequality equation are intervals that fulfil the inequality equation.
Given, the linear inequalities are t + 1 < -5 and t + 1 > 5
Solving the first inequality, t + 1 < -5 ⇒ t < -5 -1 ⇒ t < -6
Again, solving second inequality, t + 1 > 5 ⇒ t > 5 - 1 ⇒ t > 4
Combining the solution of both the inequalities, we have;
the value of t can take any value in (-∞, -6) U (4, ∞).
Therefore, the required value of t is (-∞, -6) U (4, ∞).
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Determine which set of side measurements could be used to form a triangle. 12, 23, 7 10, 7, 2 8, 3, 11 5, 11, 8
Based on the triangle inequality theorem, the set of side measurements that could be used to form a triangle is: D. 5, 11, 8.
What is the Triangle Inequality Theorem?The triangle inequality theorem states that three set of side measurements, a, b, and c would form a triangle if a + b > c, that is, the sum of any of two sides should be greater than the third side.
The set of side of measurements 5, 11, 8 will form a triangle because:
5 + 11 > 8 ⇒ 16 > 8
5 + 8 > 11 ⇒ 13 > 11
8 + 11 > 5 ⇒ 19 > 8
The other set of side of measurements do not conform to this criterion set by the triangle inequality theorem, therefore, the only set of side measurements that will form a triangle is: D. 5, 11, 8.
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Answer:
D.
5, 11, 8
Step-by-step explanation:
0.18 times 7 Show the work to get the answer pls
1.26
1) We can calculate that by writing out this algorithm:
We proceed normally as if we had two whole numbers. Multiplying 7 by each number.
Note that since there are two decimal places in the factor 0.18 we count two decimal places from the left to the right in the product.
2) Thus the answer is 1.26
all you need is in the photo put only the answer Don't do step by step please answer fast pleaseeeeegkg
Substitute the values of the constant in the equation to obtain the value of x.
[tex]undefined[/tex]Question 6 is the target pls helo
Answer:
80°Step-by-step explanation:
the angles in a triangle add up to 180
2x + 3x + 4x = 180
(combine like terms)
9x = 180
(divide both sides by 9 to find out what x is)
x = 20
so now we know
(2x)° = 40°
(3x)° = 60°
(4x)° = 80°
What is the measure of the largest angle in the triangle shown above?
80°What is the mass of 2 litre of water
Answer: 2 kg
Step-by-step explanation:
A bell rings every 20 minutes. A horn blows every 30 minutes. If Htel Htel heard the two sounds at 8:00AM, at what time will be hear the sounds together again.
Answer:
Htel Htel will hear the sounds again at 9:00 AM
How do I solve this, and how do I know if I need to add or subtract at the beginning
Let's solve the system of equations using elimination:
4x + 5y = 14
-4x -2y = -8
First, we need to get rid of one variable.
Sometimes we multiply them by some factors to have the same number on one variable, but in this case, we can subtract the x variable
4x +5y =14
-4x-2y = -8
----------------------
4x-4x =0, 5y -2y = 3y and 14-8=6
------------------------------
0+3y = 6
Solve the equation for y
Divide by 3 into both sides
3y/3 = 6/3
y = 2
Then, replace this variable on one equation, whichever you want:
4x + 5y = 14
4x +5(2) = 14
4x +10 = 14
and solve the equation for x
4x +10 = 14
Subtract 10 on both sides
4x +10-10 = 14-10
4x = 4
Divide by 4 into both sides
4x/4 = 4/4
x = 1
You can replace both variables to confirm the results:
4x +5y =14
4(1) +5(2) = 14
4 +10 = 14
14 = 14
---------------------------------
-4x -2y = -8
-4(1) -2(2) = -8
-4-4 = -8
-8 = -8
The result is correct, so my ordered pair is (x,y) = (1,2)
how do you start square roots in mathmaticals?
Answer:
a square root is basically any number multiplied by itself to get another number. there are 2 types, perfect and non perfect, perfect is when the number being multiplied by itself is an a whole number, while the non perfect is when the number that is being multiplied by itself is a decimal or fraction
Step-by-step explanation:
Michael bought 1/2 pound of Swiss cheese. He used 1/4 pound for
a sandwich. How much was left?
Answer:
1/4
Step-by-step explanation:
1/2 - 1/4 = 2/4 - 2/4 = 1/4
Solve for b, then solve for each angle in the triangle
We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:
[tex]b+2b+(b+16)=180[/tex]then, solving for b, we get:
[tex]\begin{gathered} b+2b+(b+16)=180 \\ \Rightarrow4b+16=180 \\ \Rightarrow4b=180-16=164 \\ \Rightarrow b=\frac{164}{4}=41 \\ b=41 \end{gathered}[/tex]now that we have that b = 41, we can find the measure of each angle:
[tex]\begin{gathered} b=41 \\ 2b=2(41)=82 \\ b+16=41+16=57 \end{gathered}[/tex]which candy is better to buy $4.12 for 4 bars of 7.14 for 7 bars?
4 candy bars for 4.12=1.03
7 candy bars for 7.14=1.02
so 7 candy bars for 7.14
Answer: The one for 7 candy bars for $7.14.
Step-by-step explanation:
If x
2 = 25 , where x ε z then x =
The value of the quadratic equation given as x^2 = 25 is 5
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to solve the quadratic equation?The quadratic equation is given as
x2 = 25
Rewrite the equation properly
So, we have
x^2 = 25
Take the square roots of both sides
x = 5
Hence, the solution of the equation is 5
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Define a variable, set up an inequality, and solve. Only algebraic solutions are accepted. “Mikayla has three savings accounts that she distributes her money into each paycheck. If she wishes to put at least $80 into each account this paycheck, how much money must she make?”
Solution:
Note that Mikayla has three savings accounts that she distributes her money into each paycheck. Now, let us denote by x the money in the accounts, thus if she wishes to put at least $80 into each account this paycheck, this means that the total amount of money must be greater than or equal to 3(80). This is equivalent to say:
[tex]3(80)\leq x[/tex]this is equivalent to:
[tex]240\leq x\text{ }[/tex]so that, we can conclude that the correct answer is:
[tex]x\ge240[/tex]
Determine the average rate of change for 3x²-3x+1 over the interval [-5, 5].
Answer: The average rate of change is −3.
Step-by-step explanation:
The average rate of change f(x) on the interval [a,b] is (f(b)−f(a))/(b−a)
a=−5 , b=5, f(x)=3x2−3x+1.
(f(b)-f(a))/(b-a)= (1-3(5)+3(5)^2-(1-3(-5)+3(-5)^2)) / (5-(-5)) = -3
choose the correct description of the graph of the compound inequality1: A number line with an open circle on 0 shading to the left and a closed circle on 2 shading to the right2: A number line with a closed circle on 0, shading to the left, and an open circle on 2 shading to the right3: A number line with a closed circle on 2, and shading in between 4: A number line with an open circle on 2, and shading in between
Answer:
Step-by-step explanation:
Please help with this question
Answer:
A is correct. √11 and √14 are both between 3 and 4.
I dint know the answers to this and its SUPER important I get it right.
A. The corresponding angles of triangles are coungrent (YES)
B. The triangles have the same shape (YES)
C. The triangles have the same size (YES)
D. The corresponding sides of the triangles are congruent (YES)
The time to complete a standardized exam is approximately normal with a mean of 70 minutes and a standard
deviation of 10 minutes. How much time should be given to complete the exam so that 80% of the students will complete the exam in the time given?
(A) 61.6 minutes
(B) 78.4 minutes
(C) 79.8 minutes
(D) 80.4 minutes
A country's population in 1993 was 204 million.In 2000 it was 208 million. Estimatethe population in 2015 using the exponentialgrowth formula. Round your answer to thenearest million.burP = AektEnter the correct answer.DONE?DOO
Here, we want to use the exponential growth formula to estimate the 2015 population
In order to use the exponential growth formula, we have to get some of the needed points like the growth rate or constant represented by K
At any point in time, A represents the initial popultaion, which is the population in 1993, given as 204 million
P represents the population at that point in time
k is what we want to calculate
t is the difference in the number of years
Thus, for between 1993 and 2015, we have ;
[tex]undefined[/tex]What's 9 + 10? ______________________________________________________
Answer:
Hmm, that's a tough one. I think it's 19. I'm not sure though.
Answer:
19
Step-by-step explanation:
The ____?____ of “ sets A and B, “ denoted by ____?____ , is the set of elements that belong to “ A or B “ or “both A or B. “
We will have the following:
*The "Union" of sets A and B, denoted by A U B is the set of elements that belong to A or B, or both A or B.
[Option A]
determine the inverse function of f(x) = x² + x - 6, x> - 1/2, if it exists. Then, state its domain and range.
Since the domain is restricted to one side of the axis of symmetry of the full graph of f(x), an inverse does exist.
Letting [tex]f(x)=y[/tex],
[tex]x=y^2 +y-6\\\\x=\left(y+\frac{1}{2} \right)^2 -\frac{25}{4}\\\\x+\frac{25}{4}=\left(y+\frac{1}{2} \right)^2[/tex]
Since the domain is restricted to the right hand side of the axis of symmetry, and since the range of the inverse is the same as the domain of the original function, we take the positive square root.
[tex]\sqrt{x+\frac{25}{4}}=y+\frac{1}{2}\\\\y=f^{-1}(x)=\sqrt{x+\frac{25}{4}}-\frac{1}{2}[/tex]
The domain of the inverse is the range of the original function, which is [tex]\left[-\frac{25}{4}, \infty \right)[/tex].
The range of the inverse is the domain of the original function, which is [tex]\left[-\frac{1}{2}, \infty)[/tex],
find a solution of the quadratic equation.6x squared + 7x + 2 =0
Given the equation:
[tex]6x^2+7x+2=0[/tex]We will use the following rule to find the solution to the equation:
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]From the given equation: a = 6, b = 7, c = 2
So,
[tex]\begin{gathered} x=\frac{-7\pm\sqrt[]{7^2-4\cdot6\cdot2}}{2\cdot6}=\frac{-7\pm\sqrt[]{1}}{12}=\frac{-7\pm1}{12} \\ x=\frac{-7-1}{12}=-\frac{8}{12}=-\frac{2}{3} \\ or,x=\frac{-7+1}{12}=-\frac{6}{12}=-\frac{1}{2} \end{gathered}[/tex]So, the answer will be option B) x = -1/2, -2/3
Create an example of a difference of
polynomials and explain how to simplify
your expression.
(9x² + 8x) - (2x²+ 3x) = 7x² + 5x .
By simplifying we get x( 7x + 5) .
What is polynomial ?Polynomials are algebraic expressions with variables and coefficients. Variables are also known as indeterminates. For polynomial expressions, we can perform arithmetic operations such as addition, subtraction, multiplication, and positive integer exponents, but not division by variable.The variables and exponents of polynomials do not change when they are subtracted. Only their coefficients are subject to change. This ensures that the difference has variables and exponents that are already classified as polynomials. As a result, the difference is always a polynomial.Consider two polynomials,
(9x² + 8x) and (2x² + 3x)
The difference of polynomials is,
(9x² + 8x) - (2x²+ 3x)
9x² + 8x - 2x²+ 3x
= 7x² + 8x - 3x
= 7x² + 5x
Simplifying we get ,
taking x common,
= x( 7x + 5) .
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Match the equivalent fractions
5
13
Compute the complement rate where the trade discount rate is 15%.
The Complement rate where Trade discount rate is 15% = 100 - 15 = 85%.
Thanks