Answer:
see explanation
Step-by-step explanation:
if the denominator of a rational expression is zero then the expression will be undefined.
the numerator is the part of the rational expression that makes it zero.
solve the numerators in each to find values of x
1
[tex]\frac{x+6}{x-4}[/tex]
x + 6 = 0 ( subtract 6 from both sides )
x = - 6 ← value that makes expression equal to zero
2
[tex]\frac{(x+4)(x-2)}{x+6}[/tex]
(x + 4)(x - 2) = 0
equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
x = - 4 and x = 2 make the expression equal to zero
3
[tex]\frac{2x+10}{3x-12}[/tex]
2x + 10 = 0 ( subtract 10 from both sides )
2x = - 10 ( divide both sides by 2 )
x = - 5 ← value that makes expression equal to zero
Answer:
1) x = -6
2) x = -4 and x = 2
3) x = -5
Step-by-step explanation:
A rational expression is undefined when the denominator equals zero.
A rational expression equals zero when the numerator equals zero.
Question 1Given rational expression:
[tex]\dfrac{x+6}{x-4}[/tex]
Set the numerator to zero and solve for x:
[tex]\implies x+6=0[/tex]
[tex]\implies x=-6[/tex]
Question 2Given rational expression:
[tex]\dfrac{(x+4)(x-2)}{x+6}[/tex]
Set the numerator to zero:
[tex]\implies (x+4)(x-2)=0[/tex]
Apply the zero-product property and solve for x:
[tex]\implies x+4=0 \implies x=-4[/tex]
[tex]\implies x-2=0 \implies x=2[/tex]
Question 3Given rational expression:
[tex]\dfrac{2x+10}{3x-12}[/tex]
Factor the numerator and denominator:
[tex]\dfrac{2(x+5)}{3(x-4)}[/tex]
Set the numerator to zero and solve for x:
[tex]\implies 2(x+5)=0[/tex]
[tex]\implies x+5=0[/tex]
[tex]\implies x=-5[/tex]
Answer ALL of the questions. LOOK AT ALL THE PICTUERS .Show your work. if you can show me a picture of your work and the step you did to complete it. HELP ME PLZZ.
BRAINLEST TO I GIVE BRAINLIEST
A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint. How many cups of white paint will it be for 1 cup of red paint?
please help!!!!
Solving Systems of Linear Equations by Elimination
C.
0.6x = 1.2 +0.3y
2.2x-1.8y-1.6=0
By using systems of linear equations by elimination, it can be determined that x = 0.5 y +2 and 2.2x-1.8y-1.6=0 are equivalent to x=0.818182 and y+0.727273.
What do you meant by Systems of Linear Equations by Elimination ?Using elimination, let's fix your system. 0.6 x=1.2+0.3 y, 2.2 x-1.8 y-1.6=0 in the graph, and y=2 x-4, y=1.222222 x-0.88888
Step 1: Divide both sides by 0.6 to find the solution for x = 0.6 x=1.2 + 0.3 y.
[tex]$$\begin{aligned}& \frac{0.6 x}{0.6}=\frac{0.3 y+1.2}{0.6} \\& x=0.5 y+2\end{aligned}$$[/tex]
Let's figure out what x is, 2.2 x-1.8 y-1.6=0.
First, multiply both sides by 1.8 y.
[tex]$$\begin{aligned}& 2.2 x-1.8 y-1.6+1.8 y=0+1.8 y \\& 2.2 x-1.6=1.8 y\end{aligned}$$[/tex]
Add 1.6 to both sides in step two.
[tex]$$\begin{aligned}& 2.2 x-1.6+1.6=1.8 y+1.6 \\& 2.2 x=1.8 y+1.6\end{aligned}$$[/tex]
3. Multiply both sides by 2.2.
[tex]$\frac{2.2 x}{2.2}=\frac{1.8 y+1.6}{2.2}$[/tex]
x=0.818182 y+0.727273
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Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection. How many total coins are in her collection?
The total number of coins Piper has in her collection is 100 coins.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection.
Let, The total number f coins in the box be 'x'.
Therefore, 2% of 'x' is 12 which can be numerically expressed as,
(2/100)×x = 12.
0.02x = 12.
x = 2/0.02.
x = 100.
So, She has 100 coins in her box.
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Which of the following numbers is 90 divisible by?
2, 3, 4, 5, 6, 9, and 10 only
A. 2, 3, 4, 5, 6, 9, and 10 only B. 2, 3, 5, 6, 9 and 10 only
C. 2, 3, 6, 9, and 10 only D. 2, 5, 9, and 10 only
Answer:
B
Step-by-step explanation:
90/2= 45
90/3= 30
90/5= 18
90/6= 15
90/9= 10
90/10= 9
90/4= 22.5
During a sale, a store offered a 20% discount on a tablet computer that originally sold for $490. After the sale, the discounted price of the tablet computer was marked up by 20%. What was the price of the tablet computer after the markup? Round to the nearest cent.
Step-by-step explanation:
I think you have to change 20% to a fraction
Which of the following is a net?
Answer:
C.
Step-by-step explanation:
why?
a net spreads the actual look when it's open
HOPE IT HELPS
(FROM CROSS)
The coordinates of triangle DEF are D(4,3) E(8,3 and F(6,8). If you tendkwte triangle DEF 3 units right and 3 units down what are the coordinates of F
Answer:
(9,5)
Step-by-step explanation:
Write an equation for this situation: The cost of renting a car is $30 per day.
What does an inverse function look like?
Inverse functions are indicated by the symbol [tex]f^{-1}[/tex] and are functions whose inverse is the function itself (x).
A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function. The inverse function, which also returns the beginning value, returns the result of a function.
The relationship that results from swapping out an independent variable for a variable that depends on a given equation, and which may or may not be a function. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x.
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2x × 3y(4 - 8) + 8(4y - 2x)
Answer:
5.3
Step-by-step explanation:
Multiple Choice: Choose the best answer for each question.
6 cm
4. Find the area of the kite at the right.
11 cm
1 cm
a. 72 cm
c. 144 cm
b. 396 cm
d. 33 cm
Answer:
The area of the kite at the right is 72
The table shows information about the masses of some dogs.
a) Work out the minimum number of dogs that could have a mass of more than
27 kg
b) Work out the maximum number of dogs that could have a mass of more than
27 kg
a) The minimum number of dogs that could have a mass of more than 27 kg is 6.
b) The maximum number of dogs that could have a mass of more than 27 kg is 18.
We have a table which shows information about the masses of some dogs.
Now , we need to determine the minimum number of dogs could have a mass more than 27 kg . Let us see dogs with mass of more than 27 kg present in the following intervals , 20≤x<30 and 30≤x<40 with 12 and 6 respectively.
But we wants minimum of 12 and 6 is 6 .
so, the minimum number of dogs with mass more than 27 kg is 6.
b) We need to determine maximum number of dogs with mass more than 27 kg ,so Maximum is equals to sum of number of dogs present in interval 20≤x<30 and in interval 30≤x<40 = 12+6 = 18. So, required maximum number of dogs are 18.
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Complete question:
The above table shows information about the masses of some dogs.
a) Work out the minimum number of dogs that could have a mass of more than 27 kg
b) Work out the maximum number of dogs that could have a mass of more than 27 kg
Find the measure of the arc or angle indicated
Answer:
the term arc is used for a portion of a circle along its circumference. The size of the arc is usually given by the size of the angle subtended by the arc at the center or the length of the arc. The angle subtended at the center is also known as the angle measure of an arc or informally the arc measure.
Step-by-step explanation:
Answer:
A) 64°
Step-by-step explanation:
By intersecting secants theorem:
[tex] m\angle ACB = \frac{1}{2} (m\widehat {AS} - m\widehat {BD}) [/tex]
[tex] 35\degree = \frac{1}{2} (134\degree - m\widehat {BD}) [/tex]
[tex] 70\degree =134\degree - m\widehat {BD} [/tex]
[tex] m\widehat {BD} =134\degree - 70\degree[/tex]
[tex] m\widehat {BD} =64\degree[/tex]
Zeke drove 143miles in 3 hours. What is his average rate of speed (m
please help i need to get a good grade but i’m stuck
Answer:
47.6667 mph
Step-by-step explanation:
143 divided by 3=147.6667
- if you want to round it then use 47.7 mph
Answer:
47.7 mph
Step-by-step explanation:
His average rate (speed) is
143 miles
s = -------------------- = 47.7 mph
3 hours
if you are traveling at 60 mph you will travel almost the length of a football field in how many seconds
Time taken to cross the field will be 3.36 seconds.
What does physics mean by speed?Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. There are four different types of speed. constant speed, varying speed, an average rate, instantaneous speed.
Solution,
Given,
speed=60 mph
length of football field=0.056 miles
time taken to cross it = distance/speed
time=0.056/60=0.00093 hour = 3.36 seconds.
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11 in.
9 in.
4
8 in.
What is the volume of the figure above?
Answer:
Mizuki is here to help you! The volume of the figure above is 176[tex]in^2[/tex], but since you can only put numbers you need to put in 176.
Step-by-step explanation:
11 x 4 x 8 ÷ 2 =
44 x 8 ÷ 2 =
352 ÷ 2 =
176
The graph shows a line and two similar triangles.
What is the equation of the line?
A. y=3/2x
B. y=2/3x
C. y=3x
D. y=2x
Answer:
y=3/2×
Step-by-step explanation:
the one line is the 3cm and the another line is 2cm
The equation of the line is y = 3/2 x
What is equation of line ?"The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line. Using the equation of any line, we can find whether a given point lies on the line or not.
The equation of line is a linear equation with a degree of one."
The two points are origin and (6,4).
Using 2 point form we have
y - y1 = (y2 - y1/x2-x1) * x - x1
y - 0 = ( 6 - 0 / 4 - 0 ) * x
y = 3/2 x
Hence, A is the correct option.
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3) Breanna thought of a number, subtracted 4 from it, and then multiplied her answer by 3. She got
a final number of 24. What was her starting number?
Graph the line y=-2x-1
Answer:2024
Step-by-step explanation:
Making connections between arithmetic sequences and linear function
Use the graph or the formula to write the equation of the line in a slope intercept form
on solving the provided question, we can say that - the graphs which is shown as the straight line graph.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here,
then line which is drawn is straright,
so the graph is straight .
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Please help me!
Will give you brainlist!!!!
HELPPPP!!! PLEASEEE!!! THANK U:)
Answer:
1st, 2nd, and 3rd options
Step-by-step explanation:
Some of the main properties of a kite:
It has no parallel sides
It has two pairs of congruent sides
It has two pairs of congruent angles
the diagonals are perpendicular
the longer diagonal bisects the other diagonal
opposite sides are not congruent
Answer:
hope this helps you bye..
(2.3x104)x(1.5x10-2)
Answer:
(2.3x104)x(1.5x10-2) = 3109.6
I don't get this question can some one please help me solve it
Answer:
3, 2
Step-by-step explanation:
In order for the equation to be equal to zero, the following must be true:
x-3 = 0 or,
x-2 = 0
Therefore the 2 solutions are x=3, x=2
Someome please help me
Answer:
Step-by-step explanation:
Tell your teacher thet you need more helpp and pay attention to math
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
L = 40 The length is AC
W = 20 The width is AB
Step-by-step explanation:
Givens
P = 120
AB = 1/2 AC
Solution
P = L + L + W + W
W = 1/2 L
P = L + L + 1/2L + 1/2L Combine like terms
P = 3L
120 = 3L Divide by 3
3L/3 = 120/3
L = 40
W = 1/2 L
W = 1/2 * 40
W = 20
For the function
[tex]f(x)=x^2-2x-8\\[/tex]
Find the equation of the line of symmetry.
no links please and thank you! Please help ASAP! Will give Brainliest!
Answer:
x = 1
Step-by-step explanation:
For a quadratic function [tex]f(x)=ax^2+bx+c[/tex], the axis of symmetry is
[tex]x=-\frac{b}{2a}[/tex].
This comes from using part of the Quadratic Formula for finding zeros of the function:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} = \frac{-b}{2a} \pm \frac{\sqrt{b^2-4ac}}{2a}[/tex]
See the -b/(2a) in the first term? That's the x-coordinate of the vertex (turning point) of the parabolic graph of the function. The axis of symmetry goes through the vertex.
Find the measure of the indicated angle to the nearest degree.
Answer:
57⁰
Step-by-step explanation:
To get the indicated angle we need to use the knowledge of trigonometry.
Since the required angle has both opposite and adjacent sides we use Tangent
Tan ? = opposite/adjacent
= 37/24
= 1.5412
To get the angle we now need to to find the tan inverse of the value we found
Tan inverse of 1.5412
= 57.03⁰
to the nearest degree it will be 57⁰
Uh please answer correctly I’ll mark you brainlist after I see if it’s correct!
Answer:
The equation for the volume of a rectangular prism is V=whl or width x height x length. The width is 7/2, the height is 7/5, and the length is 5. Multiply all of these numbers to get 49/2 or 24.5.
Answer:
24.5 cm cubed
(3.5 (7/2) times 1.4 (7/5) times 5)
Step-by-step explanation:
7/2cm multiplied by 7/5cm multiplied by 5cm
(3.5 times 1.4 times 5 = 24.5)