Answers
Beacuse to both sides of the equation you distribute the number that is outside the parentheses when making the product.
Then, you operate on both sides of the equation -7x, that is, you use the additive inverse of 7x
[tex]\begin{gathered} 7x-7-7x=6x-4-7x \\ -7=-1x-4\text{ }\rightarrow\text{ additive inverse property} \\ \end{gathered}[/tex]Then, you operate on both sides of the equation 4, that is, you use the add inverse of -4
[tex]\begin{gathered} -7=-1x-4 \\ -7+4=-1x-4+4 \\ -3=-1x\text{ }\rightarrow\text{ additive inverse property} \end{gathered}[/tex]Finally,
[tex]\begin{gathered} -3=-1x \\ \frac{-3}{-1}=x\text{ }\rightarrow\text{ Division property} \\ 3=x\text{ }\rightarrow\text{ Reflexive property} \end{gathered}[/tex]Related Questions
15 points
What is the slope of the line on the graph?
Enter your answer in the box.
Answers
The slope of the line on the graph is - 2
How to determine the slope?The given parameter is the line on the graph
From the above graph, we have the following points
(x₁, y₁) = (0, 0)
(x₂, y₂) = (3, -6)
The slope of a line can be calculated using the following slope formula
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, -6)
Substitute the known values in the above equation
So, we have the following equation
Slope = (-6 - 0)/(3 -0)
Evaluate the quotient
Slope = -2
Hence, the slope is -2
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Hello is it possible to receive help on this question?
Answers
Vertex = (4, 5)
focuse = (7, 5)
The vertex and focus lie on the same horizontal line; y = 5
So we will be applying the equation of horizontal parabola
[tex]\begin{gathered} \text{Equation of the parabola (horizontal):} \\ (y-k)^2=\text{ 4a(}x\text{ - h)} \end{gathered}[/tex]The focus lies on the right of the vertex, parabola opens upward as a result, a = positive
[tex]\begin{gathered} As\text{ the y coordinates are the same, }a\text{ = 7 - 4 } \\ a\text{ = 3} \\ \\ \text{Vertex: h = 4, k = 5} \end{gathered}[/tex]substituting the values:
[tex]\begin{gathered} (y-5)^2\text{ = 4(3)(x - 4)} \\ (y-5)^2\text{ = 12(x - 4)} \end{gathered}[/tex]Evaluate the expression below for x = -4 and y = 8 -X +5y + 2x
Answers
Here, given the values of x and y, we are told to evaluate the given expression
What we need to do here is to simply substitute the values of x and y into the given expression
Thus;
we have -x + 5y + 2x
By substitution, this becomes;
-(-4) + 5(8) + 2(-4)
= 4 + 40 -8
= 44 - 8
= 36
Given x = -4 and y = 8 , the expression -X +5y + 2x = 36
In order to graph the inequality using a graphing calculator, tell what function to enter for the boundaryline, whether the graph should be shaded above or below the line, and if the boundary line is included inthe solution.63+7y>xThe boundary line is given by the functionThe graph is shaded _____ the line, and the boundary line ______ included in the solution.
Answers
Answer:
• 63+7y=x
,• Above
,• Is not Included
Explanation:
Given the inequality:
[tex]63+7y>x[/tex]To get the boundary line, we replace the inequality sign with an equality sign.
• The boundary line is given by the function 63+7y=x
Since the inequality is greater than:
• The graph is shaded ,above, the line
,• The boundary line ,is not, included in the solution so we use a dotted line.
A chord in circle T has a length of 16 cm and the diameter of the circle 20 cm. How far is the chord from the center of the circle
Answers
ANSWER
[tex]6\operatorname{cm}[/tex]EXPLANATION
First, let us make a sketch of the circle:
Since the diameter of the circle is 20 cm, the radius of the circle is 10 cm, as shown above.
The two radii and the chord of the circle form a triangle. Also, the distance from the center to the chord forms a right triangle with the radius and half the length of the chord:
Now, we can solve for d by applying the Pythagoras theorem:
[tex]10^2=d^2+8^2[/tex]Solve for d:
[tex]\begin{gathered} d^2=10^2-8^2 \\ d^2=100-64=36 \\ d=\sqrt[]{36} \\ d=6\operatorname{cm} \end{gathered}[/tex]That is the distance from the chord to the center of the circle.
Find the maximum value of the objective function and the values of x and y for which it occurs.
F = 2x + y
3x + 5y ≤ 45 x 20 and y20
2x + 4y ≤ 32
Answers
In linear equation, value of x and y = ( 10 , 3 ).
What is linear equation with example?
Ax+By=C is the typical form for two-variable linear equations. A linear equation in standard form is, for instance, 2x+3y=5. Finding both intercepts of an equation in this format is rather simple (x and y).3x + 5y = 45 ............1
2x + 4y =32 .........2
Multiply by 2 in equation 1 and by 3 in 2
6x + 10y = 90
6x + 12y = 96
equation 2 - equation 1
2y = 6
y = 3
put value of y put in equation 1
3x + 5y = 45
3x + 5 * 3 = 45
3x = 45 - 15
3x = 30
x = 10
value of x and y = ( 10 , 3 )
the value of the objective function at each of the vertices to find the maximum.
I'll do one vertex, you do the rest.
(0,8)
F = 2x + y
F = 2 * 0 + 8
F = 8
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A cab company charges a $11 boarding fee and a meter rate of $2 per mile. The equation is y = 2x + 11 where x represents the number of miles to your destination. If you traveled 5 miles to your destination, how much would your total cab fee be?
Answers
We are given a function, y = 2x + 11, where x is the number of miles driven. If we are told that the cab was driven 5 miles, x = 5. So, substitute 5 for x.
y = 2x + 11
= 2(5) + 11
= 10 + 11
= 21
y = 21
The survey results of the towns favorite holiday were displayed in a newspaper as described37% of people enjoy Fourth of July•28% of people enjoy New Years Eve42% of people enjoy Memorial DayC5% of people enjoy all three12 % of people enjoy New Years Eve and Memorial Day•18 % of people enjoy Fourth of July and New Years Eve13% of people enjoy Memorial Day onlyWhat percentage of people enjoy New Years Eve only?
Answers
In order to calculate the percentage that enjoy New Years Eve only, we can use the diagram and formula below:
Using F to represent Fourth of July, N to represent New Years Eve and M to represent Memorial Day, the formula is:
[tex]P(N\text{ only})=P(N)-P(F\text{ and }N)-P(M\text{ and }N)+P(all\text{ }three)[/tex]From the given data, we have:
P(N) = 28% = 0.28
P(F and N) = 18% = 0.18
P(M and N) = 12% = 0.12
P(all three) = 5% = 0.05
So P(N only) is:
[tex]\begin{gathered} P(N\text{ only})=0.28-0.18-0.12+0.05\\ \\ P(N\text{ only})=0.03=3\% \end{gathered}[/tex]Do all proofs have the same number of steps?
Answers
What does 2/4 + 3/6=
Answers
Answer: 1
Step-by-step explanation: becuase 2/4 + 3/6 = 1
Answer: 6/6 = 1
Step-by-step explanation:
First, if you were to look at both fractions they both equal to 0.5 or one half.
Therefore, 2/4 = 1/2
And, 2/4 = 1/2
1/2 + 1/2 = 1
determine the range of y=√x/√x+2
Answers
Solution
[tex]y=\frac{\sqrt[]{x}}{\sqrt[]{x+2}}[/tex]For this case we can do the following:
[tex]y=\sqrt[]{\frac{x}{x+2}}[/tex]The minimum value should be 0 for y assuming that x>= 0
Then the range should be:
[tex]0\le y<1[/tex]What system of measurement is most commonly used in the United States?
Military system
Metric system
Celsius
English system
Answers
The system of measurement is most commonly used in the United States is Metric system.
Answer: metric system hope this help a had this problem
Necesito la fórmula y una breve explicación
Answers
The value of the height of the rectangle is 80 m.
Rectangles
The rectangle is a quadrilateral. The classification for quadrilaterals is given by the length of sides and angles. For a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
A rectangle is a geometric figure that has 4 sides called: length and height. Due to its characteristics, the rectangle presents two length (L) and two heights (H).
The perimeter is the sum of all sides of a geometric figures. For a rectangle, the perimeter is 2L+2H.
The question gives:
length (base) = 20 + H width (height) = H perimeter = 360 mFrom the perimeter, you can find the height, see below.
P=2L+2H
360=2*(20 + H) +2H
360= 40 +2H +2H
360-40 = 4H
320= 4H
320/4 = H
80=H
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what is the slope of the line represented by the equation f(x)=-3x+7?
Answers
Answer: -3
Step-by-step explanation:
Slope intercept form is:
y = mx + b
Which in this case m is the coefficient of x so -3
Two friends shop for fresh fruit. Jackson buys a watermelon for $6.85 and 4 pounds ofcherries. Tim buys a pineapple for $2.25 and 3 pounds of cherries. Use the variable p to representthe price, in dollars, per pound of cherries. Write and simplify an expression to represent how muchmore Jackson spent.
Answers
Jackson
[tex]6.58+4p[/tex]Tim
[tex]2.25+3p[/tex]to know how much more Jackson spent we do a subtrac between Jackson and Tim
then
[tex](6.58+4p)-(2.25+3p)[/tex]solve the parenthesis
[tex]6.58+4p-2.25-3p[/tex]group posible operations
[tex](6.58-2.25)+(4p-3p)[/tex]and solve
[tex]4.33+p[/tex]Jackson spents $4.33 + 1 pund on cherries more
Ash practiced her free throw 900 times. She made 30% of her shots. How many did she make?
Answers
900 x .30 = 270
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m/1 = (5x +15)°, m/4= (30x - 60)°
Answers
To identify the answer we will use Angles Theorem which is m∠1 = 150. When the transversal line cuts through the two parallel lines, it creates the alternate exterior angles 1 and 8. Both are consistent with the alternate exterior angles theorem. As a result, m1 = m8 and m1 = (50x)°.
m∠8 = 150
Setting both equal, find x 50x = 150.
50x/50 = 150/50 x = 3 when you divide both sides by 50.
Unknown stance
m∠1 = (50x) = 50*3 = 150°
What exactly is a mathematical postulate?A proposition—also referred to as an axiom—that is accepted as true without evidence. Lemmas and theorems arise from postulates, which is their fundamental structure. Five tenets, referred to as Euclid's postulates, form the foundation of Euclidean geometry as a whole.
An unsupported assertion is referred to as a postulate. A postulate is also referred to as an axiom. For instance, you would believe Pam if she claimed that all of her siblings are at least five foot one tall if you knew that she is five feet tall and that all of her siblings are taller than her.
The fundamental tenet of consumer theory holds that consumers choose the bundle from the available options that provides the greatest level of satisfaction. On the set of bundles, assumptions are made that ensure the existence of a comprehensive, reflexive, and transitive preference order.
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Simplify(5x-6.9) (2x + 12.2)O10x84.18O 10x² +47.2x-84.187x² + 74.8x + 5.37x² + 5.3
Answers
QUESION: Simplify (5x-6.9)(2x + 12.2)
EXPLANATION:
(5x - 6.9)(2x + 12.2)
Let's open the bracket by multiplying:
10x² + 61x - 13.8x - 82.18
Let's collect like terms but adding and subtracting each variable according to its power:
10x² + 47.2x - 82.18
Therefore, the simplified form of (5x-6.9)(2x + 12.2) is 10x² + 47.2x - 82.18.
So, the correct option is the second option which is 10x² + 47.2x - 82.18.
Find the greatest common factor of these three expressions.6,63x^2, and 9x
Answers
According to the given expressions, we need to find the greatest common factor. Since one of the expressions is an independent term (it is only a number, no variables present) the common factor is an independent term.
To find the common factor, we need to find the greatest common divisor of the independent term and the coefficients of the rest of the expressions:
According to this the greatest common factor is 3
For the parallelogram, AB = 12 and BD = 20. Find the length of AC.АThe length of the diagonal AC isBE
Answers
The value of line segment AB is given in the problem. Line segment AB is half of the diagonal AC. Hence, if we want to solve for the length of the diagonal AC, we just multiply the length of line segment AB by 2. This is a parallelogram, therefore, we can say that the line segment AB is half of the diagonal AC.
The length of the diagonal AC is therefore 12 x 2 = 24.
You are taking a multiple-choice test that has 6 questions. Each of the questions has 5 answer choices, with one correct
answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways
can you answer the questions?
Answers
Answer: 30
Step-by-step explanation:
If you multiply the amount of answer choices (5) by the amount of questions (6), you will get 30. 6 x 5 = 30
Please help I don't get this
Find the difference or type
"impossible"
[3 –8] + [4 - 5 -6]
? ? ?
It’s a matrice
Answers
The difference of the two matrices [3 -8] and [4 -5 -6] is an impossible operation to execute as per arithmetic rules.
As per the question statement, we are provided with two matrices, [3 -8] and [4 -5 -6].
We are either required to calculate the difference of the above mentioned matrices, or else, determine if the operation is impossible to perform.
To solve this question, we need to know about the order of a matrix first.
The Order of a matrix is the representation of the number of rows and columns of that matrix, in the form of "m×n" and read as (m by n), where "m" is the number of rows in that matrix while "n" is the number of columns. It also tells us about the total number of entries or elements in a particular matrix, which we can calculate by performing the multiplication of it's order, i.e., (m * n)Now, one basic rule of matrix subtraction is that, matrices having the same order can only be subtracted from each other.Here, in our case, matrix [3 -8] is of the order (1×2) while matrix [4 -5 -6] is of the order (1×3), i.e., the orders of our concerned matrices are not same.
Hence, as per the above mentioned rule, we cannot execute the difference of [3 -8] and [4 -5 -6], and yes, it is an impossible task.
Matrix: In Mathematics, a matrix is a rectangular array or tabular representation of numbers, symbols, and/or expressions, arranged in rows and columns, which is used to determine a mathematical object or a property of such an object.To learn more about Difference of Matrices, click on the link below
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if angle 1 and angle 2 are vertical angles, angle 2 and angle 3 are complementary angles, and the measure of angle 3 = 56, find the measure of angle 1
Answers
We know that
[tex]m\angle3=56[/tex]If angle 2 and angle 3 are complementary, then by its definition we can express the following.-
[tex]\begin{gathered} m\angle2+m\angle3=90 \\ m\angle2=90-m\angle3 \\ m\angle2=90-56=34 \end{gathered}[/tex]Then, angle 1 and angle 2 are equal by definition of vertical angles.
[tex]m\angle1=m\angle2=34[/tex]Therefore, angle 1 measures 34°.Chantelle has 458 pennies she puts 26 pennies in each jar. how many jars does Chantell fill. how many pennies are left over
Answers
We have to find the quotient of 458 by 26 and the residue:
we have that Chantelle used 17 jars and she got 16 pennies left.
Fill in the blanks. Multiplicative inverse applies to multiplication and division because by multiplying or dividing a number to its_______, the numbers cross_____. They factor to 1.
identity, divide
reciprocal, cancel
opposite, multiply
null, zero
Answers
Answer:
The correct answer is
reciprocal, cancel
A coin will be tossed three times, and each toss will be recorded as heads () or tails ().
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event that the first toss is tails.
Use the format to mean that the first toss is heads, the second is tails, and the third is heads.
If there is more than one element in the set, separate them with commas.
Answers
(A). Sample Space: {HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}.
(B). Outcome: {HHH, HHT, THH, THT}
What is termed as the sample space?A sample space is a set of all possible outcomes from a random experiment. The sample space is denoted by the symbol "S." An experiment's events are the sub - set of possible outcomes. Depending on the experiment, a sample space could contain a variety of outcomes.The sample spaces for just a random experiment are enclosed in curly braces " { } ".For the given question;
The coin is tossed thrice.
The outcome of head is denoted by 'H'.
The outcome of tail is denoted by 'T'.
(A). Sample Space for coin is tossed 3 times.
{HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}
(B). Outcome for second toss is Head
{HHH, HHT, THH, THT}
Thus, the values for the sample space of the coin tossed thrice are obtained.
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A botanist has determined that there is a relationship between how much a certain plant grows and how much water it receives. Identify the independent quantity and the dependent quantity in this problem situation.
Answers
Answer:
the dependent variable is how much the plant grows. The independent variable is the amount of water the plant is given.
Step-by-step explanation:
The amount the plant grows depends on the amount of water
also plus ultra
Select the statement that correctly describes the solution to the system of equations.
Answers
To identify the solution of the system, solve for the value of y for each equation.
[tex]\begin{gathered} y=-2x-2 \\ y=-2x \end{gathered}[/tex]Notice that when we subtract the second equation for the first equation, the obtained equation is not true.
[tex]\begin{gathered} y-y=-2x-2-(-2x) \\ 0\neq-2 \end{gathered}[/tex]This means the two equations are parallel. Thus, there should be no solution since the two linear equations will not meet.
R Clarissa packed books for a garage sale. ● She packed 3 boxes of books each day. Each box had 15 books. If she packed for 4 days, how many books did Clarissa pack R Draw a Picture
Answers
Clarissa packed 180 books at the end of day 4
How Many Books Did She PackTo calculate the number of books she carried, we can simply multiply the total number of boxes, the books and the number of days.
What is multiplication or product of two numbers?
In mathematics, a product is the result of multiplication, or an expression that identifies objects to be multiplied, called factors. For example, 30 is the product of 6 and 5
To achieve this, we can write this mathematically as;
[tex]3 * 15 * 4 = 180[/tex]
At the end of the fourth day, Clarissa had carried 180 books.
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What is the interquartile range (IQR) of the data set represented by this box
plot?
44
51
56
72
81
Ο Α. 16
OB. 56
C. 51
OD. 21
Answers
Based on the given data set in the box plot, the interquartile range (IQR) can be found to be D. 21
How to find the interquartile range?The box plot is not given. However, based on the similar box plot attached, we can infer that the upper quartile in the box plot is 72.
The lower quartile can also be inferred to be 51.
The interquartile range can be found by subtracting the lower quartile from the upper quartile. The interquartile range is:
= Upper quartile - Lower quartile
= 72 - 51
= 21
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