The value of x in the function r(x) = x - 3/x-4 is equal is 3.
To solve this problem, all that is required from us is simply substitute the values and solve for the value of x.
Data;
R(x) = x-3/x-4R(x) = 0What is a Function?A function from a set A to a set B assigns to each element of A exactly one element of B. The set A is usually the domain of the function while the set B is the codomain of the function.
Given that the function R(x) is
[tex]R(x) = \frac{x-3}{x-4}[/tex]
And also, R(x) is equal to 0.
[tex]R(x) = \frac{x-3}{x-4}\\ 0= \frac{x-3}{x-4} \\0(x-4) = x - 3\\0 = x- 3\\x = 3[/tex]
The value of x in the function is 3.
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A consistent and dependent system is formed by the equations y = 3x + 9 and
6x – 2y = A, where A is a real number. Find the value of A.
-
Answer:
A = -18.
Step-by-step explanation:
We are given that y = 3x +9.
From this, we gather 3x - y = -9.
We then multiply both sides by 2 to get 6x – 2y = -18. Therefore, A = -18.
Jenna is making bracelets and necklaces to sell to raise money for the field trip her class is taking next month. If she raises more than the $108 required to go on the field trip, she will donate the additional money raised to the local animal shelter. She is selling each bracelet for $6 and each necklace for $9. She is hoping to sell at least 16 total bracelets and necklaces.
Let b represent the number of bracelets she sells, and let n represent the number of necklaces she sells.
The two lines and the four sections on the graph below represent the constraints of this situation. Which arrow points to the solution region for the system of inequalities modeled by this situation?
The inequality for this situation is given as b + n ≥ 16 and 6b + 9n > 108
What is an inequality?
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let b represent the number of bracelets she sells, and let n represent the number of necklaces she sells.
Hence:
b + n ≥ 16 (1)
and:
6b + 9n > 108 (2)
The inequality for this situation is given as b + n ≥ 16 and 6b + 9n > 108
Find out more on inequality at: https://brainly.com/question/24372553
add the integers (-14)+(-31)
Answer:
[tex]-45[/tex]
Step-by-step explanation:
add the negative numbers together, and the solution stays negative.
[tex](-14) + (-31) = -45[/tex]
A recipe calls for 3 cups of sugar and 9 cups of water. How many cups of water shoul
used with 2 cups of sugar?
Answer:
6 Cups
Step-by-step explanation:
3 cups of sugar to 9 cups of water
1 cups of sugar : 3 cups of water
2 X 3 = 6
f(x) = 2 + 3x – 2x²
Determine a, b and c
Answer:
a = -2
b =3
c =2
Step-by-step explanation:
f(x) = 2 + 3x – 2x²
Rewrite in descending powers of x
-2x^2 +3x+2
The form is ax^2 +bx +c
a = -2
b =3
c =2
Consider the function f(x) = - 3x² + 30% - 3.
Determine, without graphing, whether the function has a minimum value or a maximum value.
Find the minimum or maximum value and determine where it occurs.
Identify the function's domain and its range.
O
..
a. The function has a
value.
b. The minimum/maximum value is
It occurs at x =
c. The domain offis
(Type your answer in interval notation.)
The range of fis 1 (Type your answer in interval notation.)
Copyright
Answer:
a. maximum value
b. x = 5
c. domain = all reals , range = y is less than or equal to 72
Step-by-step explanation:
a. maximum because it is a negative function and thats the highest value
b. thats the x value of the vertex which is the highest point
A footbridge is being built across the river that will connect points A and B. If the length of each box represents 2 yards, approximately what will the length of the footbridge be?
Answer:
4 yards
Step-by-step explanation:
IG;youngdestinyofficial
1) Find the lateral surface area of the rectangular prism in centimeters
A) 96 cm?
B) 108 cm
126 cm
D) 142 cm?
Answer:
It is B because
Step-by-step explanation:
3 x 9 x 4 = 108
1. quadrilateral with 4 right angles
Answer:
Square
Step-by-step explanation:
-8x+4y=-8
5x-2y=1
Pls answer this fast
Answer:
x=-3
y=-8
I answered your question in the photo sent.
PLEASE HELP ME MATH IS HARD
Use the rectangle shown in the coordinate plane to answer each question.
1. Rotate rectangle KLMN 90º counter-clockwise about the origin. List the ordered pairs for each vertex of K'L'M'N'.
2. What do you notice about the ordered pairs of the original figure and the ordered pairs of the rotation about the origin?
Answer:
See below ↓
Step-by-step explanation:
1)
On rotating KLMN by 90° counterclockwise,the new coordinates are :K' = (-3, -6)L' = (-5, -4)M' = (-2, -1)N' = (0, -3)2)
What do we notice here?We notice that on rotating from Quadrant II to Quadrant III, we find that all the x and y values become negative (other than N' which changes intercepts from x to y)Answer:
Step-by-step explanation:
Rotate counter-clockwise = from right towards left
Rotate 90° about the origin = We can think that our rectangle is a flag and that we added a pole to it. The pole is rotated counter-clockwise about the origin until we have the 90°. Where is the flag now positioned?
(Draw a line from origin to one of the rectangle's points; draw another line from origin that is ⊥ to the previous one. You rotate that point 90° from right to left and will lend on the new line.)
1. K (-6, 3) L (-4, 5) M (-1, 2) N (-3, 0) → K' (-3,-6) L'(-5, -4) M'(-2, -1) N'(0, -3)
2. We notice that the rule for rotating 90° about the origin is (x, y)→(-y, x)
Help please if ur good at math
Part (a)
[tex]\int\limits^6_0 {f(x)} \, dx =\int\limits^3_0 {f(x)} \, dx +\int\limits^6_3 {f(x)} \, dx =8+(-7) = 1[/tex]
Part (b)
[tex]\int\limits^3_6 {f(x)} \, dx =-\int\limits^6_3 {f(x)} \, dx =-(-7) = 7\\[/tex]
Part (c)
[tex]\int\limits^3_3 {f(x)} \, dx =0[/tex]
Part (d)
[tex]\int\limits^6_3 {-5f(x)} \, dx =-5* \int\limits^6_3 {f(x)} \, dx=-5 * -7 =35[/tex]
Hope that helps!
Which graph represents
y=\x-4
Answer:
The first answer choice is correct due to its Y-Intercept
Step-by-step explanation:
Of your 2 answer choices, the first answer choice is the best.
This is because your Y-Intercept is one of the most important things you look our first.
It should be (0,-4) which the first one clearly has.
Now, you could look at the growth, it is growing at a different rate that is increasing as opposed to a constant rate.
Both of them have that, but like I said the Y-Intercept Clearly exposed the right answer.
Therefore The first answer choice is correct.
Can someone please help me with this thank you
Answer:
The skeletal system has many functions. Besides giving us our human shape and features, it:
Allows movement: Your skeleton supports your body weight to help you stand and move. Joints, connective tissue and muscles work together to make your body parts mobile.
Produces blood cells: Bones contain bone marrow. Red and white blood cells are produced in the bone marrow.
Protects and supports organs: Your skull shields your brain, your ribs protect your heart and lungs, and your backbone protects your spine.
Stores minerals: Bones hold your body’s supply of minerals like calcium and vitamin D.
How many cubes with the side lengths of 1/2 cm does it take to fill the prism? 1 x 2 x 3/2 as the measurements.
Answer:
24
Step-by-step explanation:
Volume to fill = 1 x 2 x 3/2 = 3 cm^3
Volume of cube to fill this volume 1/2 * 1/2 * 1/2 = 1/8 cm^3
3/ (1/8) = 24
Find the volume of the given prism.
Ans:60cm^3
Answer:
60 cm³
volume of triangular prism : area of base * Length
Given:
side of triangle : 4 cmside of triangle : 3 cmangle between 4 cm and 3 cm : 90°Length : 10 cmFind area of base:
[tex]\rightarrow \sf \dfrac{1}{2} * side \ 1 \ * side \ 2 \ * \ sin (\theta)[/tex]
[tex]\rightarrow \sf \dfrac{1}{2} *\ 4 \ * \ 3 \ * \ sin (90)[/tex]
[tex]\rightarrow \sf 6 \ cm^2[/tex]
Volume :
A * L6 * 1060 cm³Answer:
60 cm³
Step-by-step explanation:
To calculate the volume of the prism, we need to find the area of the triangle and multiply it by the height of the prism.
⇒ Volume of prism = Area of triangle × Height of prism
Find the area of the triangle
⇒ Volume of prism = (Area of triangle) × Height
⇒ Volume of prism = (1/2 × Base × Altitude) × Height of prism
⇒ Volume of prism = (1/2 × 3 × 4) × Height of prism
⇒ Volume of prism = (3 × 2) × Height of prism
⇒ Volume of prism = 6 × Height of prism
Substitute the height in the volume
⇒ Volume of prism = 6 × Height of prism
⇒ Volume of prism = 6 × 10
Solve for the volume.
⇒ Volume of prism = 6 × 10
⇒ Volume of prism = 60 cm³
Help picture below problem 15
Answer:
m<4 = 80°
Step-by-step explanation:
The 80° angle and <4 are vertical angles.
Vertical angles are congruent. They have the same measure.
m<4 = 80°
Answer:
80°
Step-by-step explanation:
Vertically opposite angles are congruent.
∠4 = 80°
How many different outcomes are possible when three coins are flipped at the same time?
Answer:
8
Step-by-step explanation:
Now consider an experiment of tossing three coins simultaneously. The possible outcomes will be HHH, TTT, HTT, THT, TTH, THH, HTH, HHT. So the total number of outcomes is 23 = 8.
Answer:
8
Step-by-step explanation:
Find the 10th term. 10, 15,20,...
Step-by-step explanation:
formula
an = a1 + (n - 1) d
10 = a1
15 = a2
20 = a3
n = unknown number
d = difference between each sequence
a10 = 10 + (10 - 1) 5
a10 = 10 + (9)5
a10 = 10 + 45
a10 = 55
Find the value of X. Round your answer to the nearest tenth please
The value of x from the figure is 17.82 units
SOH CAH TOA identity1) From the first figure.
Opposite side = x
Adjacent = 12
Using the SOH CAH TOA identity
tan53 = opp/adj
tan53 = x/12
x = 12tan53
x = 15.92 units
2) Using the SOH CAH TOA identity
cos27 = adj/hyp
cos27 = x/20
x = 20cos27
x = 17.82units
Hence the value of x from the figure is 17.82 units
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Find the value of x x, y y, and z z in the parallelogram below.
In a parallelogram, angles that are opposite each other (as in, in opposite corners) are congruent. Angles that are next to each other (as in, on the same side) are supplementary.
It is very easy to solve for the value of y first because the expression is across from a known angle. Because these angles are opposite each other, they are congruent.
83 = 5y - 7
90 = 5y
y = 18
We can also use the same 83 degree angle to solve for the other two variables. 83 is on the same side as both of the remaining expressions, separately. As such 83 and another angle on the same side will add up to 180.
83 + -5x - 3 = 180
80 - 5x = 180
-5x = 100
x = -20
83 + z - 7 = 180
90 + z = 180
z = 90
Hope this helps!
Need additional math help 50 pts
Answer:
12
Step-by-step explanation:
This thing to know about this question is that angle 1 and angle 3 are actually the same.
When two lines intersect, the opposite angles such as that shown in 1 and 3 are equal to each other.
So what you can do is set angle 1 and 3 equal to each other like so:
5x+10 = 70
Then solve for x
5x+10 = 70
5x = 60
x = 12
PLEASE HELP PLEASE HELP
Which of the following numbers is the sum of 82.545 and 128.580 written with the correct number of significant digits? A. 211.1225 B. 211.125 C. 211.13 D. 211.130
When we add 82.545 and 128.580 we get a total of 211.125, now the closest number to the answer is B. 211.125Addition of Numbers
Mathematical OperationsGiven Data
Number one = 82.545Number two = 128.580Apart from addition of numbers there are other mathematical operations we can perform on integer numbers like in our example above
they are
SubtractionMultiplicationDivisionModulus ---This will return the remainder of the numbers when dividedTotal Number = 82.545 + 128.580Total Number = 211.125
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Answer:
B
Step-by-step explanation:
Took the test, have a good day.
nine times a number p plus two
Can someone plss translate this into a algebraic expression.
Answer:
9n + 2
Step-by-step explanation:
Answer:
[tex]9p+2[/tex]
Hope This Helps! Please give Brainliest!
A pencil has a mass of 25 grams of there are 8 pencils what is the total mass of all the pencils
Answer:
200g/0.2kg
Step-by-step explanation:
8 × 25g = 200g
The total mass of the pencil is 200 grams.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that,
A pencil has a mass of 25 grams.
there are 8 pencils.
Total number of pencils = 8
Mass of each pencil = 25 grams
Total mass of the pencils = 8 × 25 = 200 grams
Hence the total mass is 200 grams.
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Naomi was measuring and cutting yarn in inches for an art project.she cut 9 pieces of the yarn.
Answer:
i don't know this question but you can just measure it
Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?
Using the unit circle, it is found that the approximate decimal value of tan(α) is given by -3.274.
What is the unit circle?For an angle [tex]\alpha[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\alpha}, \sin{\alpha})[/tex].
In this problem, we have point (-0.292, 0.956), hence [tex]\cos{\alpha} = -0.292, \sin{\alpha} = 0.956[/tex].
Applying the definition of the tangent, we have that:
[tex]\tan{\alpha} = \frac{\sin{\alpha}}{\cos{\alpha}} = \frac{0.956}{-0.292} = -3.274[/tex].
Hence the second option is correct.
More can be learned about the unit circle at https://brainly.com/question/16852127
The answer: -3.274.
Hope you got it right! :)
Given the figure below , find the blues of x and z
Check the picture below.
Mutilply lookin for the best results
Answer:
D, [tex]\frac{7(x-4)}{6}[/tex]
Step-by-step explanation:
Basically you have to simplify the (x² - 16). Since it is the difference of 2 squares, it's simplified as (x + 4)(x - 4). Now that everything is simplified, you can start doing the multiplication.
[tex]\frac{(x+4)(x-4)}{6x} *\frac{7x}{(x+4)}[/tex], You can cancel out the (x+4)'s
[tex]\frac{(x-4)}{6x} *{7x}[/tex], There is a common factor between 7x and 6x. The common factor is x. So cancel out both "x".
You end up with this, [tex]\frac{7(x-4)}{6}[/tex]