Answer:
6Step-by-step explanation:
Given the expression [tex]\frac{2-y}{4+y} + \frac{3(y+2)}{y}[/tex], we are to look for the value of the expression when y = 2. To do that we are going to substitute y as 2 into the given expression and simplify the resulting expression as shown.
[tex]f(y) = \frac{2-y}{4+y} + \frac{3(y+2)}{y}\\\\if \ y = 2;\\\\f(2) = \frac{2-2}{4+2} + \frac{3(2+2)}{2}\\\\f(2) = \frac{0}{6} + \frac{3(4)}{2}\\\\\\f(2) =0 + \frac{12}{2}\\\\\\f(2) = 6[/tex]
Hence the value of the expression when y = 2 is 6
Answer:
The answer is 6
How you get this answer is by plugging in the number 2 in as y and following the order of operations.
Which equation is true?
15 - 112.5 = 7.5
15 : 112.5 = 75
112.5 : 15 = 7.5
112.5 : 15 = 75
What’s the answer
Answer:
112.5:15=7.5
Step-by-step explanation:
112.5:15
=112.5÷15
=7.5
The equation "112.5 : 15 = 7.5" is true.
Proceed option 1:
"15 - 112.5 = 7.5":
This equation is not correct because 15 - 112.5 does not equal 7.5.
Proceed option 2:
"15 : 112.5 = 75":
This equation is not correct because when we divide 15 by 112.5, we get a decimal answer of 0.1333, not 75.
Proceed option 3:
"112.5 : 15 = 7.5": This equation is correct.
When we divide 112.5 by 15, we get an answer of 7.5.
Proceed option 4:
"112.5 : 15 = 75": This equation is not correct because when we divide 112.5 by 15, we get an answer of 7.5, not 75.
Hence equation "112.5 : 15 = 7.5" is correct.
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Which statement is true? Integers are always whole numbers or all whole numbers are rational or integers include all rational members or rational numbers do not include integers.
Let's go through each statement to see if it is true or false.
=====================================
Integers are always whole numbers
This is true. Integers are numbers that don't have any fractional or decimal portion
=====================================
All whole numbers are rational
This is also true. Let's say we had the whole number 7. We can write it as 7/1 which is rational. A rational number is any number that can be written as a fraction of two integers. So this means any whole number can be converted to a rational number format.
=====================================
Integers include all rational members
This is false. It is true that all integers are rational, but there is more to the story than just integers when it comes to listing all rational numbers.
For instance, the number 1/2 is rational, but it is not an integer.
=====================================
Rational numbers do not include integers.
This is false. As stated earlier, any integer can be placed over 1 to form a rational number. So the rational numbers do include integers, among non-whole number fractions as well.
Given xy = 4 and x2 + y2 = a, which expression is equal to (x + y)2?
a + 6
a + 8
a + 4
Answer:
a + 8
Step-by-step explanation:
Note that
(x + y)² = x² + 2xy + y²
= x² + y² + 2xy
= a + 2(4) = a + 8
Here, we are required to determine an expression equal to (x + y)²
The correct answer is therefore (a + 8)
First, x² + y² = a can be rewritten completing the square method as;
(x+y) (x+y) = a + 2xy
when we expand the expression above; we have;
x² + 2xy + y² = a + 2xy
since, 2xy is present on both sides of the equation;
we still get the expression; x² + y² = a
Therefore, (x+y)² = a + 2xy
we can then substitute the value 4 for xy in the equation above;
Thus, since xy = 4, therefore 2xy = 8
Consequently, (x+y)² = a + 8
The correct answer is therefore (a + 8)
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What is the value of the expression 10 (n minus 6) when n = 14?
46
56
80
134
80
Answer:
80 :)
Step-by-step explanation:
9. If a car travels 65 kilometers in 25 minutes, what is its speed in miles per hour? (1.6 km = 1 mile)
Which line segment shows the height that corresponds to the given base of the triangle btw it isnt high school
Answer:
B
Step-by-step explanation:
The height has to be perpendicular ( 90 degrees) to the base
B is the height to the base
Which of the following statements are true about segments in a plane? Choose all that apply.
Every segment has infinitely many midpoints
Every segment has two bisectors
Every segment has one perpendicular bisector
Every segment has infinitely many congruent segments
Every segment has one line that is perpendicular to it
Answer:
Every segment has infinitely many midpoints
Every segment has one perpendicular bisector
Every segment has infinitely many congruent segments
Every segment has one line that is perpendicular to it
Step-by-step explanation:
Segments in a plane: The term "segment" is determined as a specific part that is being cut-out from a particular figure, for example, a spherical or a circular figure through a plane or a line as one of the parts consisting of a "circular area" associated with an arc or its related chord by two distinct planes or lines.
What is the y-intercept of the polynomial f(x)f(x) f(x) defined below? Write the y-value only. f(x)=−4x2+x5+10x3+5x+8x4f(x)=-4x^2+x^5+10x^3+5x+8x^4 f(x)=−4x 2 +x 5 +10x 3 +5x+8x 4
Answer:
y = 0
Step-by-step explanation:
Given
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴
Required
Determine the y intercept
The y intercept of a function is a point where x = 0
So, we have to substitute 0 for x in the above function
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes
f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴
f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0
f(0) = 0 + 0 + 0 + 0 + 0
f(0) = 0
Substitute y for f(0)
y = 0
Hence, the y intercept is 0
Find the equation of the line with gradient-4,
which cuts the y-axis at 7.
Answer:
y = - 4x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
Here m = - 4 and c = 7, thus
y = - 4x + 7 ← equation of line
What is the final efficiency of Lily's car in kilometers per liter?
Answer:
12.5 km per liter
Step-by-step explanation:
To get the kilometer per liter divide km by liters
100/8=12.5
Mr. Paul buys a subscription of a magazine. He pays $60 for one year. He receives one magazine each month for a
Year. How much does he pays for each magazine
Answer:
$5.00 each month.
Step-by-step explanation:
60 / 12 = 5
60 for how many $ per year.
12 for how many months are in a year.
find the value of x
a. 124
b. 50
c. 93.5
d. 32
==============================================
Explanation:
The chords intersect to form the angle 73 degrees. The chords also form the arcs of 96 and x. Averaging the arc measures will result in the internal angle 73
---------
(x+96)/2 = 73
x+96 = 2*73 ... multiply both sides by 2
x+96 = 146
x = 146-96 ... subtract 96 from both sides
x = 50
a carpenter works one third as long after lunch as he worked before lunch if he worked 8 hours total how long did he work before lunch
Answer:
6 hours before lunch
Step-by-step explanation:
Let x = hours before lunch
after lunch = 1/3x
Total time worked = 8 hours
x+1/3 x = 8
Combine like terms
4/3x = 8
Multiply each side by 3/4
3/4 * 4/3x = 8 * 3/4
x = 6
6 hours before lunch
Answer:
The carpenter worked 3x, or 6 hrs, before lunch.
Step-by-step explanation:
Represent the time worked before lunch as 3x and the time worked after lunch as x. Then 3x + x = 8 hrs, and so:
4x = 8 hrs, and
x = 2 hrs
The carpenter worked 3x, or 6 hrs, before lunch.
Eleven more than a number sqaured, decreased by six
Answer:
eleven more than a number squared, decreased
by six;
evaluate when t = 5
Evaluating Expressions
Write the expression as 11 +t2 -6
Write the expression as 11 +2t -6
Write the expression as t underscore 2
The value when t = 5 is 16.
The value when t = 5 is 30.
The value when t = 5 is 7.5.
Answer:
11 + the number sqaured - 6
Step-by-step explanation:
Since you do not provide any other numbers I do not know what the number is so I can only give you this.Hope it helps
Solve 0.25[2.5x + 1.5(x – 4)] = –x.
x =
Answer:
0.75
Step-by-step explanation:
the simplified equation is 2x=1.5 / 2= x=0.75
DUE SOON PLEASE HELP Find the value of x. A. 40 B. 95 C. 45 D. 22.5
Answer:
D. 22.5
Step-by-step explanation:
By the property of intersecting tangent and secant outside of the circle, we have:
x° = 1/2[(4x+5)° - 50°]
2x° = [(4x+5)° - 50°]
2x° = (4x-45)°
2x = 4x - 45
45 = 4x - 2x
45 = 2x
x = 45/2
x = 22.5
The measure of the variable x will be 22.5°. Then the correct option is D.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
We know that half of the difference between the angle (4x + 5)° and 50° will be equal to x°. Then the equation will be
x = [4x + 5 - 50] / 2
Simplify the equation, then we have
2x = 4x - 45
2x = 45
x = 22.5°
The measure of the variable x will be 22.5°.
Then the correct option is D.
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m+1/4d=7 explain your answer
Answer:
d=-4m + 28
Step-by-step explanation:
1. 1/4d +m+-m= 7 + -m
1/4d=- -m +7
2. divide doth sides
1/4d divide 1/4= -m+7 divide 1/4
d= -4m + 28
Explain why you cannot find the intersection points of the two lines shown below. Give both an algebraic reason and a graphical reason. y=4x+1 and y= 4x+10
Answer:
[tex]m_1 = m_2 = 4[/tex]
Step-by-step explanation:
Given
[tex]y = 4x + 1[/tex]
[tex]y = 4x + 10[/tex]
Required
Show that these two lines have no point of intersection
The general equation of a line is
[tex]y = mx + b[/tex]
Where m represents slope
In [tex]y = 4x + 1[/tex]
[tex]m = 4[/tex]
Similarly; in [tex]y = 4x + 10[/tex]
[tex]m = 4[/tex]
Since the slope of both lines are equal;
[tex]m_1 = m_2 = 4[/tex]
This implies that the lines are parallel and parallel lines have no point of intersection
See Attachment for Graph
289 and y more is 206
Answer:
Equation translates to 289 + y = 206
it solves to y = -83
====================================================
Explanation:
The "and y more" means we are adding y onto 289 to get the expression 289+y. This is set equal to 206 because of the term "is" in the original statement.
Therefore, "289 and y more is 206" translates fully to the equation 289+y = 206
This is the same as saying y+289 = 206
To isolate y, we undo what is happening to it. We are adding 289 to it, so we must subtract 289 from both sides
y+289 = 206
y+289-289 = 206-289
y = -83
So we are adding -83 to 289 to get 206
Imagine that you stop at a nearby coffee chain and purchase a $5 coffee every morning on your way to work. You do this 5 days a week for 50 weeks out of the year. While it may seem like a small expense each day, this habit can add up and affect your personal finances. How much would this habit cost you over the next five years
Answer:
$6250
Step-by-step explanation:
Hello!
First, we find out how much you spend a week.
Since you buy a $5 coffee 5 days a week we multiply the price for a coffee by 5.
5 * 5 = 25.
Next, we find out how much you spend a year.
Since you do it 50 weeks a year we multiply the amount you spend a week by 50
25 * 50 = 1250
Then, we find out how much you spend in 5 years.
We multiply the cost a year by the amount of years
1250 * 5 = 6250
The answer is $6250
Hope this helps!
Answer:
$6250 Just took a quiz
Step-by-step explanation:
pls open first to answer correctly get brainlist
Answer:
C AND D
Step-by-step explanation:
it is a rational and real number
Answer:
[tex]\Large \boxed{\mathrm{\bold{C.} \ real}} \\\\ \Large \boxed{\mathrm{\bold{D.} \ rational}}[/tex]
Step-by-step explanation:
[tex]\sf \displaystyle \frac{5}{6}=0.833333...[/tex]
The fraction is a repeating decimal. Repeating decimals are rational numbers.
A rational number is a real number.
Find the circumference if the area of the circle is 64π m2.
Answer:
C = 50.27 m
Step-by-step explanation:
A = πr²
64π = πr²
64 = r²
r = ±8
r = 8
C = 2πr
C = 2π(8)
C = 50.27 m
Jennifer earns $17.35 per hour at her job. She works 6 hours per day, 5 days per week. What is Jennifer’s gross income for a 2 week pay period?
Answer:
$104.1
Step-by-step explanation:
17.35 x 6 = 104.1
104.1 x 5 =520.5
520.5 x 2 = $104.1
Hope this helps!
what transformation(s) is taking place
Answer:
Dilation is the transformation
Find the area of the triangle.
A.54
B.18
C.36
D.27
Answer:
B. 18
Step-by-step explanation:
Base: 3-(-6)=9
Height: 6-2=4
Area =1/2bh = 1/2(9)(4)= 18 square units
What is the equation of the quadratic function represented by this graph
Answer:
f(x) = - x² + 2x + 8or f(x) = - (x - 1)² + 9 or f(x) = - (x + 2)(x - 4)Step-by-step explanation:
f(0) = 8 {y-axis intercept = (0, 8)}
Vertex = (1, 9)
f(x) = a(x - 1)² + 9
8 = a(0-1)² + 9
8 = a + 9
a = -1
f(x) = - (x - 1)² + 9
f(x) = - (x² - 2x + 1) + 9
f(x) = - x² + 2x - 1 + 9
f(x) = - x² + 2x + 8
x₁ = -2 and x₂ = 4, so also:
f(x) = -(x + 2)(x - 4)
Answer:
g(x) = -1 (x + 2)(x − 4)
Step-by-step explanation:
To write the equation of the function in factored form, g(x) = a(x − r1)(x − r2), find the values of r1, r2, and a.
The function has x-intercepts of -2 and 4, so (x − (-2)), or (x + 2), and (x − 4) are factors of the equation.
To find a, look at how the value of y changes for 1 unit to the right of the vertex. The y-value goes down 1 unit for a point 1 unit to the right of the vertex, so a = -1.
The equation of this quadratic function is g(x) = -(x + 2)(x − 4).
Thank me later ᵇⁱᵗᶜʰᵉˢ
Depreciation is the decrease in value of an item. Three years ago, Aaron bought a computer for $930. The computer is now worth $570. Assuming the value of the computer depreciates linearly, what is its yearly depreciation?
Answer:
$120
Step-by-step explanation:
930-570=360 (Price difference in 3 years)
360 divided by 3= 120 (Price difference for each of the 3 years)
Name four points in the diagram.
B
B
S
С
A
E
D
point A
to
point B
С BC
point D
DE
point E
points
point T
Answer: Point A ,Point E , Point B, Point D
Step-by-step explanation:
In the given figure we have two planes named as S and T that are join by a line .
There is one line on each of them .
On plane S points are B and C.
On plane T points are D, and E.
On the intersection of planes, we have point A.
Now from the given options, the four points are:
Point A ,Point E , Point B, Point D
somebody plz come in clutch
Answer:
B. x = 7/2 or x=-1/3
Step-by-step explanation:
You know both angles 6x² and 19x+7 have to be the same, so you can solve
6x² = 19x+7
6x² - 19x - 7 = 0
apply the quadratic formula and find
x = -1/3 or x = 7/2
now think carefully if the negative x is a realistic solution. It would lead to the angles being (2/3)°. This is not what the picture suggests, but it is also not wrong, so answer B seems the best.
Answer:
8. B
Step-by-step explanation:
Convert the words into an equation-"More than twice...-
2x
complement
90
"23 is more"-
+ 23
put it all together-
2x + 23 = 90
Angle E is 33.5 or 34 once you find the value of x
Now subtract this from 180 to find the other angle
180 - 34 = 146
please help me out
Answer:
(i) F = 25 N
(ii) F = 35.36 N
(iii) F = 43.3 N
Step-by-step explanation:
We note that the component of force acting along the incline surface is given by the relation
Force, acting parallel to the incline plane, [tex]F_p[/tex] = M×g×sin(θ)
Given that the weight of the body is given as 50 N, we have;
M×g = 50 N
Therefore we have;
(i) For the plane with angle of elevation = 30°
[tex]F_p[/tex] = M×g×sin(θ) = 50 × sin(30°) = 25 N
The force [tex]F_p[/tex] = F = 25 N
F = 25 N
(ii) For the plane with angle of elevation = 45°
[tex]F_p[/tex] = M×g×sin(θ) = 50 × sin(45°) = 50 × (√2)/2 = 25·√2 N
[tex]F_p[/tex] = F = 25×√2 N = 35.36 N
F = 35.36 N
(iii) For the plane with angle of elevation = 60°
[tex]F_p[/tex] = M×g×sin(θ) = 50 × sin(60°) = 50 × (√3)/2 = 25·√3 N
[tex]F_p[/tex] = F = 25×√3 N = 43.3 N
F = 43.3 N.