Answers
Answer:
y = x-13
Step-by-step explanation:
So this question asks for two numbers. Let's call them x and y.
Since we know that x is larger than y, and the difference between them is 13, x must be greater than y by 13. So, x = y + 13
x = y + 13 isn't what the question is asking for though, so we have to isolate y to make one side contain only x and numbers. To do that, subtract both sides by 13 to get:
x - 13 = y
rearrange:
y = x - 13
Related Questions
Please help step by step
Answers
The set of values for y={-3, 0, 5} for given values of x={0, 3, 8} and the equation is 3x-3y=9 and the domain D={0≤x≤8}.
What is Domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.
The given equation,
3x-3y=9
When x=0, 3*0-3y=9
-3y=9
y=-3
When x=3, 3*3-3y=9
-3y=0
y=0
When x=8, 3*8-3y=9
3y=15
y=5
The set of values for the equation 3x-3y=9 and the domain D=0≤x≤8 is given as x={0, 3, 8} and y={-3, 0, 5}.
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4x-7 (2-x)=3x+2/ need help
Answers
First, apply distributive property to solve the parenthesis:
[tex]4x-7(2)-7(-x)=3x+2[/tex][tex]4x-14+7x=3x+2[/tex]Combine like terms:
[tex]-14+11x=3x+2[/tex][tex]11x-3x=2+14[/tex][tex]8x=16[/tex]Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{16}{8}[/tex][tex]x=\text{ 2}[/tex]The tables of ordered pairs represent some points on the graphs of lines q and v. Line 9 Line v Х -9 -3 2. Х 0 10 у 0 18 33 у 10 8 3 Which system of equations is represented by lines q and v? F 21x - y = 9 5x + 6y = 40 G 3x - y = -27 x + 2y = 16 H 21x - y = 9 5x - 6y = 20 3 9x - y = -27 x + 2y = 8
Answers
One of the forms we can write the equation of a line is like this:
y - y1 = m(x - x1)
Where (x1, y1) is a point where the line passes through, and the value of m, the slope of a line is given by the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Then, for the first line (line q), we can take the points (-9, 0) and (-3, 18), then we get:
[tex]mq=\frac{18-0}{-3-(-9)}=\frac{18}{-3+9}=\frac{18}{6}=3[/tex]By replacing the value of the slope and the coordinates of the point (-9, 0), we get:
y - 0 = 3(x - (-9))
y = 3(x + 9)
y = 3x + 27
y - y = 3x + 27 - y
0 = 3x + 27 - y
-27 = 3x + 27 - 27 - y
-27 = 3x - y
For line v, we can take the points (-4, 10) and (0, 8), then we get:
[tex]mv=\frac{8-10}{0-(-4)}=\frac{-2}{4}=-\frac{1}{2}[/tex]By taking -1/2 for the slope and the coordinates of the point (0,8), we gat:
y - 0 = -1/2(x - 8)
y = -1/2x + 4, multiplying both sides by 2:
2y = -x + 16
2y + x = -x + x + 16
2y + x = 16
Then, the system represented by the lines q and v is option G
Graph the line that has an z-intercept of (-3,0) and a y-intercept of (0, - 5). What is the slope of this line?
Answers
Answer:
the slope is -5/3
Step-by-step explanation:
it is that because to find slope u do y2-y1/x2-x1
pls help??
A.24
B.50
C.84
D.75
Answers
A
I got it right on the test and i got the answer on another app
Six friends went out for dinner. The total cost of their dinner was $92,82. If they divide the bill equally, how much should
each friend pay?
Provide your answer below:
Answers
Answer:$15.47 per person
Step-by-step explanation:
The total cost of the bill, divided into 6 groups:
92.82/6=15.47
4592 round to the nearest ten
Answers
Answer:
4590
Step-by-step explanation:
less the 5 round down
Answer:
4590
Step-by-step explanation:
When rounding to the nearest ten we use these following rules.
We round the number up to the nearest ten if the last digit in the number is 5,6,7,8 or 9.
We round the number down to the nearest ten if the last digit in the number is 1,2,3, or 4.
If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
A bag contains 4 black and 3 pink balls. A ball is picked from the bag and is not replaced. A second ball is then picked from the bag.
The tree diagram below can be used to calculate various probabilities.
What is the probability of picking one
ball of each colour?
A
4/49
B
24/42
C
1/2
D
12/42
Answers
Answer:
1/2
Step-by-step explanation:
There are 4 possibilities:
First ball Second ball
1. Black Pink
2. Black Black
3. Pink Pink
4. Pink Black
The first and the forth options are the the probabilities that there is picked one ball for each color. (2 possibilities )
The second and the third options are the probabilities that there ate picked 2 balls of same colour.
(2 possibilities)
There are 4 possibilities in total. So the probability is 2/4=1/2
What’s the correct answer answer asap for brainlist
Answers
Joseph Hayden is known for his larger structures out of very short, simple musical motifs, often derived from standard accompanying figures.
Hi, can you help me answer this question please, thank you!
Answers
SOLUTION
3To calculate the test statistics, we use the following steps:
Step 1: We write out the parameters
[tex]\begin{gathered} sample\text{ mean (}\bar{\text{x}}\text{)}=0.9 \\ \text{standard deviation(s)=}0.58 \\ \operatorname{mean}(\mu)=0.8 \\ n=32 \end{gathered}[/tex]Step 2: Write out the formula for the test statistics (t)
[tex]t=\frac{\bar{x}-\mu}{\frac{s}{\sqrt[]{n}}}[/tex]step 3: Find t
[tex]\begin{gathered} t=\frac{0.9-0.8}{\frac{0.58}{\sqrt[]{32}}} \\ t=\frac{0.1}{0.1025} \\ t=0.97532 \\ t\approx0.98 \end{gathered}[/tex]Hence, the test statistic is approximately 0.98 to two decimal places.
Pre calculus 6a. Consider the equation x^5 - 3x^4 + mx^3 + nx^2+ ox + q = 0, where m, n, P, q € R.The equation has three distinct real roots which can be written as log2a, log2b and log2C.The equation also has two imaginary roots, one of which is di where dE R.Show that abc = 8.6b. The values a, b, and C are consecutive terms in a geometric sequence. Show that one of the real roots is equal to 1.6c. Given that q = 8d^2, find the other two real roots.
Answers
We have a fifth degree polynomial:
[tex]x^5-3x^4+mx^3+nx^2+px+q=0[/tex]This polinomial has 3 real roots, that can be expressed as: log2(a), log2(b) and log2(c).
Also, it has two imaginary roots, one of which is di (they have to be conjugate, so the other imginary root is -di).
We have to show that abc = 8.
If we consider the information given, we have some information about all the roots.
We can rewrite the polynomial in factorized form as:
[tex]\begin{gathered} (x-\log _2a)(x-\log _2b)(x-\log _2c)(x-di)(x+di)=0 \\ (x-\log _2a)(x-\log _2b)(x-\log _2c)(x^2+d^2)=0 \end{gathered}[/tex]As the polynomial is defined for real numbers, we can write a polynomial with only the real roots as:
[tex](x-\log _2a)(x-\log _2b)(x-\log _2c)=0[/tex]Then, we can relate the roots as:
[tex]\begin{gathered} 2^{(x-\log _2a)(x-\log _2b)(x-\log _2c)}=2^0 \\ 2^{(x-\log _2a)}\cdot2^{(x-\log _2b)}\cdot2^{(x-\log _2c)}=1 \\ \frac{2^x}{2^{\log_2a}}\cdot\frac{2^x}{2^{\log_2a}}\cdot\frac{2^x}{2^{\log_2a}}=1 \\ \frac{2^{3x}}{a\cdot b\cdot c}^{}=1 \\ abc=2^{3x} \\ abc=2^3\cdot2^x \\ abc=8\cdot2^x \end{gathered}[/tex]26 is 50% of what number?
Answers
What is the value of (–3 + 3i) + (–2 + 3i)?
Answers
Answer: -5+6i
Step-by-step explanation:
after how many hours will the two trucks be 558 miles apart?
Answers
Given:
a.) A truck travels due west at an average speed of 48 miles per hour.
b.) The other truck travels due east at an average speed of 45 miles per hour.
Let's determine how many hours will the two trucks be 558 miles apart.
We will be using the following equation:
Let the two trucks be named Truck A and Truck B.
Let x = the time the two trucks will be 558 miles apart
[tex]\text{ (Speed of Truck A)(x) + (Speed of Truck B)(x) = 558 miles}[/tex]We get,
[tex]\text{ 48x + 45x = 558}[/tex]Let's find x,
[tex]\text{ 48x + 45x = 558}[/tex][tex]\text{ 93x = 558}[/tex][tex]\text{ }\frac{\text{93x}}{93}\text{ = }\frac{\text{558}}{93}[/tex][tex]\text{ x = }6[/tex]Therefore, the two trucks will be 558 miles apart after 6 hours.
Given the information marked on the figures below, classify each quadrilateral as a "Parallelogram" or "Not necessarily a parallelogram."
Note that each figure is drawn like a parallelogram, but you should not rely on how the figure is drawn in determining your answers.
If necessary, you may learn what the markings on a figure indicate.
Answers
Noted that the Diagonals of a parallelogram bisect each other. Here in PQSR, it does bisect PT =ST and QT = TR). Hence, PQSR is a parallelogram.
Note that IGHJ is a parallelogram. This is because the opposite sides of a parallelogram are congruent. Here, H = I and G = J. Hence, IGHJ is a parallelogram.
It is correct to state that CABD is a parallelogram because of the alternative interior angles ACB = CBD and ABC = BCD.
VWYX is NOT a parallelogram. The rule states that if opposites sides are congruent then the quadrilateral is a parallelogram. In this case, clearly, line VW ≠ XY and VX ≠ WY.
What is a parallelogram?A parallelogram (which could be a rhombus, rectangle, or square) is a quadrilateral with congruent and parallel opposing sides.
There are six critical parallelogram characteristics to note. They are:
The opposite sides are equal (AB = DC).Angles that are perpendicular to one other are congruent (D = B).(A + D = 180°) Consecutive angles are additive.All angles are proper if one is correct.The diagonals of a parallelogram intersect.The diagonals of a parallelogram divide it into two congruent triangles.Learn more about parallelograms:
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Evaluate. 5[83–(8-1)²]
Answers
5 [ 83- (8-1)²]
we will first work on the inner parenthesis
5 [ 83 - (7)²]
5[ 83 - 49]
5[34]
=170
find the endpoint S given R(5,1) and midpoint M(1,4)
Answers
Given:
Point R: (5, 1)
Midpoint M: (1, 4)
Since it's been mentioned that point M is a midpoint. Finding S, the graph should look like this:
Let's determine the translation from point M to R, because the opposite of it will be the translation to get point S.
From Point M to R:
[tex]\text{ }\Delta x\text{ = 5 - 1 = 4 (4 units to the right)}[/tex][tex]\Delta y\text{ = 1 - 4 = -3 (3 units downward)}[/tex]Therefore, getting to the endpoint S, it will have 4 units to the left and 3 units upward.
We get,
[tex]x_S\text{ = 1 - 4 = -3}[/tex][tex]y_S\text{ = 4 + 3 = 7}[/tex]Therefore, the missing endpoint is: -3, 7
A shop repairs 4 types of electronic devices. The number of repairs of each device last week is shown in the bar graph below. Use this bar graph to answer the questions.
Answers
Answer:
a) Telephone; 2 repairs
b) 3 more repairs
c) computer, radio , and television = 3 types
Explanation:
From the bar graph we see that the least amount of repairs done to the telephones. How many r
Can anyone answer this
Answers
Answer:
(d) The triangles are similar, because each has angles that measure 36°, 62°, and 82°.
Step-by-step explanation:
Given triangle A has angles 36° and 82°, and a figure showing angles related to triangle B, you want to know if the triangles are similar.
SimilarityThe triangles will be similar if the angles of one are congruent to the angles of the other. Between the two triangles, we are given 3 different angle values, so we need to find at least two additional angle values in order to determine if the triangles are similar.
Angle sum theoremThe sum of angles in a triangle is 180°, so the third angle of triangle A will be ...
angle = 180° -36° -82° = 62°
Exterior angleThe exterior angle of triangle B, given as 144°, is the sum of the remote interior angles:
144° = 62° +angle
82° = angle
ComparisonNow, we have the angles of triangle A as 36°, 62°, and 82°. Two of the angles of triangle B are known to be 62° and 82°, matching those of triangle A.
The triangles are similar, because each has angles that measure 36°, 62°, and 82°.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the following scenarios with the correct inequality.
A phone company charges $15 per
month, and $2.50 for each gigabyte
of data used. Jaime cannot spend
more than $30 a month.
arrowBoth
A chess club has only $50 to make
t-shirts. It costs $15 for the design
and $3 per t-shirt.
arrowBoth
Sarah has $40 in a piggy bank. She
wants to keep at least $20 in the
piggy bank, and takes out half of
a dollar each week for a soda.
arrowBoth
Answers
The linear inequalities in this problem are given as follows:
Jaime/phone company: 15 + 2.5x ≤ 30.Chess club/t-shirt: 15 + 3x ≤ 50.Sarah/bank: 40 - 0.5x ≥ 20. What is a linear function?A linear function, in slope-intercept format, is modeled according to the rule presented as follows:
y = mx + b
In which the parameters of the function are described as follows:
The coefficient m is the slope of the function, representing the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the value of y when the function crosses the y-axis(x = 0).For cost/monetary functions, the slope and the intercept are given as follows:
Slope: variable amount, such as cost per item.Intercept: fixed amount = one-time amount, such as flat fees.Then the inequalities are given as follows:
Jaime/phone company: 15 + 2.5x ≤ 30. (slope of 2.5 and intercept of 15).Chess club/t-shirt: 15 + 3x ≤ 50. (slope of 3 and intercept of 15).Sarah/bank: 40 - 0.5x ≥ 20. (slope of -0.5, negative as the amount is removed from the bank account, and intercept of 40).More can be learned about linear functions at https://brainly.com/question/24808124
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What is the scale factor of Figure B to Figure A?48.6B2510A1021.5A. O 6.25B.O 2.5C.0.16D. 0.4
Answers
As per given by the question,
There are given that two traingle, figure A and figure B.
Now,
The ratio of a dimension on figure B to the corresponding dimension on figure A is,
[tex]4\colon10=8.6\colon21.5=10\colon25[/tex]So,
The scale factor is,
[tex]\begin{gathered} k=\frac{10}{4}=\frac{25}{10}=\frac{21.5}{8.6}=2.5 \\ \end{gathered}[/tex]The scale factor of figure B on the figure A is 2.5.
Hence, the option B is correct.
An influencer is planning a lunch banquet. The equation C 410 + 22g models the relation between the
cost in dollars, C, of the lunch banquet and the number of
guests, g.
Find the cost if the number of guests is 50.
The cost is blank
dollars
Answers
The cost, if the number of guests is 50, will be $22500.
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation.So, the relationship between the dollar cost of the dinner, C, and the number of guests, g, is represented by the equation C = 410 + 22g.
We can see that the equation we have been given is in the form of a slope-intercept equation, y = MX + b, where m denotes the slope of the line and b denotes the y-intercept or beginning value.We can observe that the slope and C-intercept of the following equation are 22 and 410, respectively.The C-intercept tells us that when there are 0 guests in the banquet, the cost would be $450.When we have 50 guests at the banquet the cost would be:
50 x 450= $22500Hence, the cost, if the number of guests is 50, will be $22500.
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Find the x- and y-intercepts for the following equation. Then use the intercepts to graph the equation.y = −2x +1x-intercept: ( ?,0)y-intercept: (0,?)
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given function
[tex]y=-2x+1[/tex]STEP 2: Determine the x-intercept for the given function.
To determine the x intercept, we set y equals zero and solve for x. Therefore, we have:
[tex]\begin{gathered} y=-2x+1 \\ y=0 \\ \therefore\Rightarrow0=-2x+1 \\ Collect\text{ like terms,} \\ 0-1=-2x \\ -1=-2x \\ Divide\text{ both sides by -2} \\ -\frac{1}{-2}=\frac{-2x}{-2} \\ \frac{1}{2}=x \\ x=0.5 \\ \\ \therefore x-intercepts\Rightarrow(0.5,0) \end{gathered}[/tex]STEP 3: Get the y-intercept
We can get the y-intercept by setting x towards zero and solve for y
[tex]\begin{gathered} y=-2x+1 \\ x=0 \\ y=-2(0)+1 \\ y=0+1 \\ y=1 \\ \\ \therefore y-intercept\Rightarrow(0,1) \end{gathered}[/tex]STEP 4: Plot the graph of the given function
Cuantas veses cabe el 13 en 47
Answers
Hay 3 veces 13 en 47.
La respuesta la divides 47 por 13 lo que te daría 3.6153846153846.
can somebody please help me with this question
Answers
Answer:
I don't really understand this but I think will be a great way to solve this so 123.00
Step-by-step explanation:
.
Please help with 7-9 they are related to the same circle
Answers
40º
7) In this problem, we can see that both tangent lines to that circle come from the same point O.
So, we can write out the following considering that there is one secant line DO and one tangent line to the circle AO
[tex]\begin{gathered} m\angle1=\frac{1}{2}(160-80) \\ m\angle1=\frac{1}{2}(80) \\ m\angle1=40^{\circ} \end{gathered}[/tex]
f(x) = 4x and g (x) = 4x -3. find the product of ( f . g ) (x)
Answers
Here, I hope it's helpful.
Answer:
16x² - 12x
Step-by-step explanation:
(f • g )(x)
= f(x) × g(x)
= 4x(4x - 3) ← multiply each term in the parenthesis by 4x
= 16x² - 12x
For each relation, decide whether or not it is a function.
Answers
Relation 1: Yes, each input corresponds to only one output.
Relation 2: No, the input of -1 corresponds to two outputs: sun and moon.
Relation 3: Yes, each input corresponds to only one output.
Relation 4: Yes, each input corresponds to only one output.
PLEASE HELP ME I'M OFFERING ALL OF MY POINTS AND I WILL GIVE BRAINLIEST
Answers
Answer:
m∠1 = 80°
m∠2 = 80°
m∠3 = 100°
Step-by-step explanation:
Same-side Exterior Angles Theorem
When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).
Therefore:
⇒ m∠1 + 100° = 180°
⇒ m∠1 + 100° - 100° = 180° - 100°
⇒ m∠1 = 80°
Corresponding Angles Postulate
When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.
Therefore:
⇒ m∠2 = m∠1 = 80°
Vertical Angles Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
Therefore:
⇒ m∠3 = 100°
8. Find the slope between (-5, 4) & (0,3). * O m = 1/5 O O m = -5 m = 5 O m = -1/5
Answers
We can determine the slope using the following expression:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Now, using the two points given, we have:
[tex]m=\frac{3-4}{0-(-5)}\Rightarrow m=-\frac{1}{5}[/tex]From this, we have that the slope(m) equals -1/5.