Answer:
(x+5)/(2x+3)
Step-by-step explanation:
So we know the top part is difference of two squares. So thats (x+5)(x-5)
The bottom part
Firstly you do 2 times -15= -30
Now we need to find two numbers with a difference of 7 but multiply to give 30.
30
1 x 30
2 x 15
3 x 10
5 x 6
From here we can see 3-10=-7 and multiply to make -30
So we do 2x²-10x+3x-15
simplify this in two different parts: 2x²-10x and 3x-15
2x(x-5) and 3(x-5)
Therefore we get (2x+3)(x-5)
(x+5)(x-5)/(2x+3)(x-5)
x-5 is common so they cancel each other out leaving you with
(x+5)/(2x+3)
I hoped this helped :)
I NEED THIS ASAP!!!!!!
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer.
Part A: (x, y) ⇒ (x, y -3) is the overall transformation
Part B: Yes both figures are congruent.
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Part A:
From the given figure it is clear that the vertices of preimage are A(-4,4), B(-2,2), C(-2,-1) and D(-4,1).
The vertices of image are A'(4,1), B'(2,-1), C'(2,-4) and D'(4,-2).
1st transformation - reflection across y-axis
Sign of x coordinate gets changed
(x, y) ⇒ (-x, y)
A(-4,4) ⇒ (4, 4)
B(-2,2) ⇒ (2, 2)
C(-2,-1) ⇒ (2, -1)
D(-4,1) ⇒ (4, -1)
2nd transformation - 3 step down
Y = y - 3
(x, y) ⇒ (x, y -3)
(4, 4) ⇒ A'(4, 4 - 3) = (4, 1)
(2, 2) ⇒ B'(2, 2 - 3) = (2, -1)
(2, -1) ⇒ C'(2, -1 - 3) = (2, -4)
(4, 1) ⇒ D'(4, 1 - 3) = (4, -2)
(x, y) ⇒ (-x, y -3) is the overall transformation
Part B:
Two figures are congruent because they have same size and shape.
Find out more information about transformation here
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Solve the quadratic equation by factoring
x^2-10x=11
Answer:
(x+11)(x-1)
Step-by-step explanation:
Answer:
x = 11, and x = -1
Step-by-step explanation:
X^2 - 10x -11 =0
(x - 11) (x +1 ) = 0
x = 11, -1
60 students
Solve for v in this equation:
3 teachers
15 teachers
Answer:
V would be equivalent to 300 students
Step-by-step explanation:
Noting that 3 teachers already have 60 students
If we're given 15 teachers, try dividing it by the 3 teachers that we originally have.
15/3 would be 5
We would now proceed to multiply the 60 students by 5 for the total amount of students with 15 teachers.
60*5 would be 300
Your answer should be 300 students.
f(x)=|x| to g(x) = |x + 1| + 3
A bottle of water is 2/3
full. You drink 1/4 of the water
You drink (blank)
of the bottle.
Answer:
0.4166666666666666666666666666666666666666666666666666666666666666
Step-by-step explanation:
2/3 - 1/4 = 5/12
Simplify the following:
2/3 - 1/4
Hint: | Put the fractions in 2/3 - 1/4 over a common denominator.
Put 2/3 - 1/4 over the common denominator 12. 2/3 - 1/4 = (4×2)/12 - 3/12:
(4×2)/12 - 3/12
Hint: | Multiply 4 and 2 together.
4×2 = 8:
8/12 - 3/12
Hint: | Subtract the fractions over a common denominator to a single fraction.
8/12 - 3/12 = (8 - 3)/12:
(8 - 3)/12
Hint: | Subtract 3 from 8.
8 - 3 = 5:
Answer: 5/12
Convert 5/12 to decimal = 0.4166666666666666666666666666666666666666666666666666666666666666
Answer: 5/12
Step-by-step explanation:
2/3 - 1/4 (multiply {2 x 4} {3 x 4} & {1 x 3})8/12 - 3/12 (solve as normal)8 - 3 = 5 DON’T CHANGE THE 12!5/12A certain brand of laundry detergent comes in two sizes. The smaller size is 24 oz and cost $3.99. The larger size is 64 oz and cost $6.99. Which has the lower unit cost?
Given:
The smaller size is 24 oz and cost $3.99.
The larger size is 64 oz and cost $6.99.
To find:
Which has the lower unit cost?
Solution:
The formula for unit cost is
[tex]\text{Unit cost}=\dfrac{\text{Total cost}}{\text{Quantity}}[/tex]
The unit cost of smaller size is
[tex]\text{Unit cost of smaller size}=\dfrac{3.99}{24}[/tex]
[tex]\text{Unit cost of smaller size}=0.16625[/tex]
The unit cost of larger size is
[tex]\text{Unit cost of larger size}=\dfrac{6.99}{64}[/tex]
[tex]\text{Unit cost of larger size}=0.10922[/tex]
It is clear that, 0.10922 is less than 0.16625.
Therefore, the unit cost of larger size is lower.
what's the parallel line to y=2x-3 that passes through (2,8)
Answer:
Step-by-step explanation:
did you try asking your teacher for help
Answer:
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula
y − y1 = m(x−x1) to find the line parallel to y=2x − 3.y = 2x+4
Hope this help
Four plus a number y is greater than 10
Answer:
y+4 _<_ 10
Step-by-step explanation:
Answer:
4+y>10
Step-by-step explanation:
Pls give Brainliest!
Please Help Me I will mark brainliest
Answer:
This is what I think it is but im no good at this so sorry if it is wrong. XP
Step-by-step explanation:
y=4/7x
y*7= 4/7*7x
y*7=4x
7y/4x = 4x/4x
7y/4x=0
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what is the answer to 2n-8= -26
How much does Jill have in liquid assets if her car is worth $4,500 and she has $1,110 in a savings account and $532 in her checking account?
The correct answer is 2858.
Hich statements about the function f are true? Check all that apply. The domain of f(x) is {all real numbers}. The range of f(x) is {all real numbers}. The domain of f(x) is {x| x > 0}. The range of f(x) is {y| y > 0}. f(2) = 4 f(2) = 2(x + 3)
Answer:
A. The domain of f(x) is {all real numbers}.
B. The range of f(x) is {all real numbers}
E. f(2) = 4
Explanation
Find the graph attached.
The domain of a function is the value of the input variable x for which the function f(x) exists. Given the function
f(x) = 1/2 x + 3
The function will exist on all values of x (either positive or negative).
The domain can be said to exist on all real values. If you look at the graph, we will see that the line tends to both negative infinity and positive infinity. Hence the domain can be represented according to the set notation:
DOMAIN: (-∞, ∞)
The range is the set of output value y for all input variable x. The output value y will also exist on all real values because, no matter the value of x imputed in the function, we will always get a finite value as the output. Hence the range of the function is denoted by the set notation:
RANGE: (-∞, ∞)
Next is to get f(2).
To get f(2), we will set the input value as 2 and calculate for the output value as shown:
f(2) = 1/2(2) + 3
f(2) = 1+3
f(2) = 4
Hence the following are true of the function:
The domain of f(x) is {all real numbers}.
- The range of f(x) is {all real numbers}
- f(2) = 4
Estimate the value of the
13
by plotting it on the number line.
Show Your Work
Answer:
098765
Step-by-step explanation:
The temperature of liquid in an experiment starts at 0*C. The experiment calls for the temperature of the liquid to change at a rate of -0.60*C per minute. How long will it take for the liquid to reach -10.5*C
Answer:
The liquid will take 17.5 minutes to reach -10.5 ºC.
Step-by-step explanation:
From this statement we understand that the temperature of liquid is increased at constant rate in time, whose model is described by:
[tex]T (t) = \dot r \cdot t + T_{o}[/tex] (Eq. 1)
Where:
[tex]T[/tex] - Temperature of the liquid, measured in degrees Celsius.
[tex]\dot r[/tex] - Heating rate, measured in degrees Celsius per minute.
[tex]t[/tex] - Time, measured in minutes.
[tex]T_{o}[/tex] - Initial temperature, measured in degrees Celsius.
If we know that [tex]\dot r = -0.60\,\frac{^{\circ}C}{min}[/tex] and [tex]T_{o} = 0\,^{\circ}C[/tex], the temperature model for the liquid is:
[tex]T(t) = -0.60\cdot t[/tex] (Eq. 2)
In addition, if [tex]T(t) = -10.5\,^{\circ}C[/tex], then time taken for the liquid to reach that temperature is:
[tex]t = \frac{-10.5}{-0.60}[/tex]
[tex]t = 17.5\,min[/tex]
The liquid will take 17.5 minutes to reach -10.5 ºC.
A car rents for $180 per week plus $0.25 per mile. Find the cost of renting this car for a two week trip of 400 miles for a family of 4.
9514 1404 393
Answer:
$460
Step-by-step explanation:
If w is the number of weeks the car is rented, and m is the number of miles driven, the cost structure tells you the rental cost (c) is ...
c = 180w +0.25m
For w=2 and m=400, this becomes ...
c = 180·2 +0.25·400 = 360 +100 = 460
The cost of the 2-week rental will be $460.
__
The family size is irrelevant to the cost.
In the figure below, lines m and n are parallel.
what is the measure of
A. 20
B. 35
C. 40
D. 15
HELP i’ll mark brainlist !!!
WHAT IS THE ANSWER PLZ HELP
WILL GIVE BRAINLIEST FOR CORRECT ANSWER!
The simplified value of (81)^-1/4 *4√81 is :
Answer:
(
81−1
4
(4))(√8)(1)
=
2
81
√2(Decimal: 0.034919)
Step-by-step explanation:
i hope i am correct.
please help this due at 3:00
The Miami Heat scored 79 points. This was 13 points less than the Chicago Bulls. How many points did the Chicago Bulls score?
Write an equation and solve.
Answer:
92
Step-by-step explanation:
Miami scored 79 points which was 13 LESS than Chicago.
So, Miami = Chicago - 13, (change Miami to their score)
79 = Chicago - 13 (add 13 to both sides to isolate Chicago and find answer)
92 = Chicago
Equation: 79 = Chicago - 13
PLEASE HELP ME!!! I NEED HELP
Answer:
9.8m/s^2
Step-by-step explanation:
9.8m/s^2 is the acceleration of gravity on earth.
Are the following lines parallel, perpendicular, or neither? y=−43x−5 and y=34x−5
9514 1404 393
Answer:
as written: neither
as fractions: perpendicular
Step-by-step explanation:
The x-coefficients of -43 and 34 are unrelated, so the lines are neither parallel nor perpendicular.
__
If you intend the equations to be ...
y = -4/3x -5
y = 3/4x -5
then the x-coefficients are opposite reciprocals, and the lines are perpendicular.
h(x) = 17 + x/6 h(-18) =
Answer:
can we explain it
Step-by-step explanation:
In a certain triangle, the longest side is 1 foot longer than the second longest
side, and the second longest side is 1 foot longer than the shortest side. If the
perimeter is 21 feet, how many feet long is the shortest side?*
Answer:
This means that the isotope of silicon with a mass number of 28 is by far the most common of these three isotopes.
Explanation:
The abundance of Si-28 is 92.23%. Si-29 is 4.68% and Si-30 is 3.09%.
what is the slope?
Answer:
The slope is -1.333.
Step-by-step explanation:
n/8 = 11/5
what is n= ?
Answer:
(n)/(8)=(11)/(5)
Step-by-step explanation:
n
8
=
11
5
Multiply both sides of the equation by
8
.
8
⋅
n
8
=
8
⋅
11
5
Simplify both sides of the equation.
Tap for fewer steps...
Cancel the common factor of
8
.
Tap for more steps...
n
=
8
⋅
11
5
Multiply
8
(
11
5
)
.
n
=
88
5
The result can be shown in multiple forms.
Exact Form:
n
=
88
5
Decimal Form:
n
=
17.6
Mixed Number Form:
n
=
17
3
5
in triangle DEF, the measure of angle Eis 30 and the measure of angle F is 45. What is the measure of angle D?
Answer:
angke D = 105°
Step-by-step explanation:
All triangles add up to 180°. 30+45=75 180-75=105
In triangle DEF, the measure of angle D is 105°.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
In triangle DEF,
Value of ∠ E = 30°, ∠ F = 45°.
Let the value of ∠ D is x°.
Since, the sum of the angles of a triangle is 180°.
Apply this property in triangle DEF,
30 + 45 + x = 180
75 + x = 180
x = 180 - 75
x = 105
The value of ∠ D is 105°.
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A population of bears is decreasing the population this year is 200 bears after 1 year it is estimated that the population will be 160 bears after 2 years it is estimated that the population will be 128 bears what equation describes the bear population in any year x?
Answer:
The equation is;
y = 200•0.8^x
where y is the number of bears remaining and x is the year number in particular
Step-by-step explanation:
Let us have the rate of decrease as r and we set up an exponential equation
y = I• ( 1 - r)^x
where r is the percentage decrease, I is the initial population = 200 and x is the number of years
For the population after 1 year, we have;
160 = 200( 1 -r)^x
divide both sides by 200
0.8 = (1-r)^1
0.8 = 1 - r
r = 1 - 0.8
r = 0.2
So the equation will be;
y = 200( 1 - 0.2)^x
y = 200•0.8^x
Please help! I need to hand this in 20 minutes!
x=36
hope this helped ;)
Find the slope between (-2,2) and (4,-4)
Answer: -1
Step-by-step explanation:
(2–4)/(-2-4)=6/-6=-1
I really need help this has to be done by 9 o clock pm