Answer:
Brainly User: eletricblu3s@*********.com
Should college be free? It’s a classic question with a complicated and arguably unclear answer. The affordability of college education, as well as the current student debt crisis, is always one of the center-stage issues for presidential political seasons. In fact, many candidates build their platforms around college costs as a key issue.
As with any major decision, especially relating to higher education, there are pros and cons to consider. Let me help break down the positives and negatives of tuition-free college.
The PROS of Tuition-Free College
More Lower-Income Students Might Reach Graduation if There’s No Tuition
Some students drop out because they do not have the ability to pay for tuition all four years. Getting rid of tuition would eliminate this reason for not graduating. This would also serve to improve college graduation rates, as fewer students would feel the need to drop to part-time status or take a break from education for financial reasons.
Student Debt Will No Longer Crush the Younger Generations
If an American college student is able to graduate with less than $10,000 in student loan debt, they are considered lucky (the average is $37,000). However, students from other countries that don’t have tuition already have that luxury; most of their loans come from living expenses and books. Without the weight of student loan debt, more college graduates might buy houses rather than renting apartments. They might buy cars, spend more on healthy food, travel more: In essence, they could contribute more to the economy.
Students Might Have More Freedom to Choose a Major They Enjoy
Whether it is the influence of parents or knowing you need to pay loans back as quickly as possible, current students are often guided toward “practical” majors that have a more lucrative post-graduation income. If shelling out thousands upon thousands of dollars is no longer a factor, parents and students might feel more relaxed about studying for majors that don’t necessarily have a large paycheck associated with them. Interest and enjoyment from a field of study goes a long way in helping students stick with it and avoid burning out.
More People Would Go to College
By negating the large bill of a college education, we could see an increase in the number of students able to attend college. This then creates a more well-educated workforce and a population that has better critical thinking skills. This could lead to more innovation in all areas of society. This would also help people with financial need to earn an education
CAN SOMEONE HELP ME PLEASE...ILL GIVE BRAINLEST AND EXTRA POINTS
Answer:
(- 2, - 7 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
P(- 2, 7 ) → P'(- 2, - 7 )
[tex]f(x) = 3 \\ what \: is \: the \: domain \: and \: range \: of \: th \: function \: above.[/tex]
Answer:
Domain: (-∞,∞)
Range: {3}
Step-by-step explanation:
The domain is the x-values of the function, and the range is the y value of the function.
F(x)=3 is really just a fancy way of saying y=3. The range is 3.
Since the function makes a horizontal line, the domain is ∞.
What is the value of log 43? Use the calculator. Round your answer to the nearest tenth.
Answer:
The value of log 43is 1.633
Step-by-step explanation:
Explanation:
Suppose you know that:
[tex]\begin{array}{l}{\log 2 \approx 0.30103} \\{\log 3 \approx 0.47712}\end{array}[/tex]
Then note that:
[tex]43=\frac{129}{3} \approx \frac{128}{3}=\frac{2^{7}}{3}[/tex]
So
[tex]\log 43 \approx \log \left(\frac{2^{7}}{3}\right)=7 \log 2-\log 3 \approx 7 \cdot 0.30103-0.47712=1.63009[/tex]
We know that the error is approximately:
[tex]\log \left(\frac{129}{128}\right)=\log 1.0078125=\frac{\ln 1.0078125}{\ln 10} \approx 0.00782 .3=0.0034[/tex]
So we can confidently give the approximation:
[tex]\log 43 \approx 1.633[/tex]
Answer:
1.6
Step-by-step explanation:
It's 1.633, when you round to the nearest tenth, it's B) 1.6
265 miles in 10 hour. how many hours per mile
Answer: 26.5 mph, or miles per hour
265/10 = 26.5
Answer: 26.5 mph
Step-by-step explanation: We need to divided 265 miles by 10 hours
265/10
Answer: 26.5 mph
Hope this helps!
Which expression is equivalent to 2(5m)+ m
Answer:
11m
Step-by-step explanation:
2(5m)+m=10m+m=11m
i just need help at this point
16π
Step-by-step explanation:
The area within a circle is given by the formulae;
πr²
Since this circle is part of a full circle will multiply the area by teh appropriate fraction;
90/360 = ¼
¼ πr²
r = 8 according to the illustration
¼ π*8²
1/4 * π * 64
= 16π
Area = 16π
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Willing to brainlist solve 16-17 please during this exam
Answer:
16. B
17. B
Step-by-step explanation:
16. The intercept form of the parabola is
[tex]y=a(x-x_1)(x-x_2),[/tex]
where [tex]x_1, x_2[/tex] are two x-intercepts.
In your case,
[tex]x_1=2\\ \\x_2=-8[/tex]
so
[tex]y=a(x-2)(x-(-8))\\ \\y=a(x-2)(x+8)[/tex]
To find a, substitute coordinates of the point (-6,-4) parabola is passing through
[tex]-4=a(-6-2)(-6+8)\\ \\-4=-16a\\ \\a=\dfrac{1}{4}[/tex]
and
[tex]y=\dfrac{1}{4}(x-2)(x+8)[/tex]
17. The vertex form of the parabola equation is
[tex]-2p(y-k)=(x-h)^2,[/tex]
where (h,k) are the coordinates of the vertex and sign "-" because parabola goes down.
In your case, vertex is (2,3), so
[tex]-2p(y-3)=(x-2)^2[/tex]
The vertex is 3 units from the focus, then
[tex]\dfrac{p}{2}=3\\ \\p=6[/tex]
The equation of the parabola is
[tex]-2\cdot 6(y-3)=(x-2)^2\\ \\y=-\dfrac{1}{12}(x-3)^2+3[/tex]
PLEASE HELP NOW !!
Jill babysits and earns y dollars at a rate of $8 per
hour plus a $5 transportation fee. Samantha
babysits and earns 2y dollars at $16 per hour plus
a $10 transportation fee. Write a system of equations
and graph to determine the number of hours each needs
to babysit to earn the same amount of money.
There are 3 dollars per hour per babysitting job for they will get the same amount.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Jill babysits and makes x dollars per hour plus a $5 transportation charge. Samantha babysits and makes two thousand dollars per hour extra transportation cost of $10
As per the given question, the required system of equations would be as:
Jill: y = 8 - 5
8- 5 = 3
y = 3 dollars per hr per babysitting job
Samantha: 2y = 16 -10
2y = 6
2/2 = 6/2
3 dollars per hr per babysitting job
They will get the same amount regardless of how many hours they babysit
Thus, there are 3 dollars per hour per babysitting job for they will get the same amount.
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Translate each sentence into an equation. Use x for the variable.
Three more than eight times a number is equal to 19.
3 + 8x = 19 is the equation for given sentence three more than eight times a number is equal to 19
Solution:
Given sentence is:
Three more than eight times a number is equal to 19.
We have to translate the sentence into an equation
Let us first break the sentence and find out the equation
Let "x" be the required number
Given that, Three more than eight times a number is equal to 19.
Here "more than" represents addition
"times" represents multiplication
eight times a number = [tex]8 \times x[/tex]
So the required equation is:
Three more than eight times a number is equal to 19
[tex]3 + 8 \times x = 19\\\\3 + 8x = 19[/tex]
Thus the required equation for given sentence is found
What is the equation of y=x^3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4units to the right, vertical shift 3 units down
Answer:
y = 3(x -4)^3 -3
Step-by-step explanation:
As you know, the transformations are
g(x) = (vertical stretch factor) · f(x - (right shift)) +(vertical shift)
For the given transformations, the equation becomes ...
y = 3(x -4)^3 -3
The equation of y=x^3 with the given transformations is y = 3(x - 4)^3 - 3.
Explanation:The equation of y = x^3 after the given transformations is y = 3(x - 4)^3 - 3.
The vertical stretch by a factor of 3 means that all y-values will be multiplied by 3, so the equation becomes y = 3x^3.
The horizontal shift 4 units to the right means that x-values will be replaced by (x - 4), so the equation becomes y = 3(x - 4)^3.
The vertical shift 3 units down means that all y-values will be decreased by 3, so the equation becomes y = 3(x - 4)^3 - 3.
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What is 4 common multiples of 2 and 4
Answer:
Multiples of 2 are {2,4,6,8,10,12,14,16,...} Multiples of 4 are {4,8,12,16,.......) Hence common multiples are {4,8,12,16,...} and Lowest Common Multiple is 4 .
Step-by-step explanation:
To find common multiples of 2 and 4, list the multiples of each and identify the common elements. For 2 and 4, these are 4, 8, 12, and 16.
Finding Common Multiples of 2 and 4
To find common multiples of 2 and 4, we start by listing the multiples of each number.
→ Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
→ Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, ...
Next, we look for common multiples from these lists.
→ 4: divisible by 2 and 4
→ 8: divisible by 2 and 4
→ 12: divisible by 2 and 4
→ 16: divisible by 2 and 4
Therefore, four common multiples of 2 and 4 are 4, 8, 12, and 16.
Using the pencil, plot the point (2, -4).
Answer:
Please see pic
Step-by-step explanation:
Go two places to the right (on x axis), then four places down (on y axis)
Sorry it would not let me attach a pic
What is the equation of the vertical asymptote of h(x)=6log4(x−3)−5 ? Enter your answer in the box.
Answer:
x = 3
Step-by-step explanation:
The last two parts of the function help see where the curve is and where the vertical asymptote would be. The (x-3) says that it was moved 3 units to the right, and the -5 says that it was moved 5 units down:
/\ * ]
| * [
| * ]
| * [
<--|--|--|--|--|--|--|--|-- |--|--|--|--|--3*-]-|--|--|--|--|--|--|--|--|-->
| * [
| * ]
|*5 [
\/ ]
So the vertical asymptote would be where it crosses the x-axis and then goes straight up: 3
[
] = vertical asymptote
[
__________________________________
*
* = function graphed
*
__________________________________
(By the way, I got this correct on my quiz!)
Hope this helps!
The vertical asymptote of the given function h(x)=6log4(x−3)−5 is x=3.
Explanation:The vertical asymptote of a function is the value of x at which the function approaches infinity or negative infinity. For a logarithmic function h(x)=a*logb(x−c)−d, the vertical asymptote is x=c. Consequently, in the given function h(x)=6log4(x−3)−5, the vertical asymptote is x=3.
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The graph represents the function f(x) = x2 + 3x + 2. If g(x) is the reflection of f(x) across the x-axis, g(x) = . (Write the function in standard form. Use ^ to indicate an exponent.) Reset Next
Answer:
g(x) = - (x² + 3x + 2) = - x² - 3x - 2
Step-by-step explanation:
The graph represents the function f(x) = x² + 3x + 2.
Now, g(x) is the function which is obtained by reflecting f(x) across the x-axis.
While a graph of a function reflects across x-axis then its y-values will change sign for a fixed value of x.
Therefore, the function g(x) will be given by
g(x) = - (x² + 3x + 2) = - x² - 3x - 2 (Answer)
When solving the equation, which is the best first step to begin to simplify the equation?
-2(x+3)=-10
Answer:
Step-by-step explanation:
-2(x+3)=-10
Open the bracket
-2x - 6 = -10
Collecting like terms
-2x = -10 + 6
-2x = -4
Dividing through by -2
x = -4/-2
x = 2
Sovle: for n:3xn =2x9
A:2
B:5
Help asap
C:6
D:8
E:9
Answer:
n will be 6
Step-by-step explanation:
3×n=2×9
substitute n=6 in the above equation
3×6=2×9
18=18
N is 6
David plans to cover the floor of his room with new material.
The floor is an isosceles trapezoid whose bases are 16 feet and 26 feet
and sides are 13 feet in length. Each piece of new material has an area of 2.5 square feet.
Assuming the pieces of new material can be cut as needed, how many pieces does
David need?
101
126
202
252
Answer:
[tex]\large \boxed{\text{101 pieces}}[/tex]
Step-by-step explanation:
1. Calculate the area of the floor
The formula for the area of a trapezoid is
A = ½(a + b)h,
where a and b are the lengths of the parallel sides and h is the distance between them.
However, we are not given the value of h, so we must use Brahmagupta's formula.
If the four sides are a, b, c, and d, the area A is
[tex]A = \sqrt{(s - a) (s - b) (s - c) (s - d)}[/tex]
where s is the semiperimeter
[tex]s = \frac{1}{2}(a + b + c + d)[/tex]
Data:
a = 13 ft
b = 16 ft
c = 13 ft
d = 26 ft
(a) Calculate the semiperimeter
[tex]\begin{array}{rcl}s & = & \sqrt{(s - a) (s - b) (s - c) (s - d)}\\\\ & = & \frac{1}{2}(13 + 16 + 13 + 26)\\\\ & = & \frac{1}{2}(68)\\\\ & = & 34\\\end{array}[/tex]
(b) Calculate the area
[tex]\begin{array}{rcl}A & = &\sqrt{(s - a) (s - b) (s - c) (s - d)}\\\\& = &\sqrt{(34 - 13) (34 - 16) (34 - 13) (34 - 26)}\\\\& = &\sqrt{21 \times 18 \times 21 \times 8}\\\\& = & \sqrt{63504}\\\\ & = & \mathbf{252}\\\end{array}[/tex]
The area of David's floor is 252 ft².
2. Calculate the number of pieces of material
[tex]\text{No. of pieces} = \text{252 ft}^{2} \times \dfrac{\text{1 piece}}{\text{2.5 ft}^{2}} = \textbf{100.8 pieces}\\\\\text{David can't buy a fraction of a piece, so he must buy $\large \boxed{\textbf{101 pieces}}$}[/tex]
I need the answer! thanks
Answer:
0.
Step-by-step explanation:
We can do this by substitution of -2 The numerator will tend to 0.
The denominator will always be positive so the limit is 0.
A geometry student says; "I got lost in that lesson - I wrote down that AD/AB = AC/AB but I have no idea
where it comes from."
Which of the following should have been the proportion that the student wrote?
answer choices:
a) AD/AB=AB/AC
b) AD/AC=AB/AB
c) AB/AD=AB/AC
d) AB/AC=AB/AD
Answer:
Therefore the choice is
a) AD/AB=AB/AC
Step-by-step explanation:
In Δ ADB and Δ ABC
∠A ≅ ∠A …………..{Reflexive Property}
∠ ADB ≅ ∠ ABC ..............{ measure of each angle is 90° given }
Δ ADB ~ Δ ABC ….{Angle-Angle Similarity test}
If two triangles are similar then their sides are in proportion.
[tex]\frac{AD}{AB} =\frac{AB}{AC}\ \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
Therefore the choice is
a) AD/AB=AB/AC
Answer:
Therefore the choice is
a) AD/AB=AB/AC
Step-by-step explanation:
In Δ ADB and Δ ABC
∠A ≅ ∠A …………..{Reflexive Property}
∠ ADB ≅ ∠ ABC ..............{ measure of each angle is 90° given }
Δ ADB ~ Δ ABC ….{Angle-Angle Similarity test}
If two triangles are similar then their sides are in proportion.
Therefore the choice is
a) AD/AB=AB/AC
A developer was buying land. He bought 4 acres at $1,863 per acre. He then spilt the land he purchased into 9 lots. How much should he sell each lot for just to break even
Answer:
$1862 ÷9=$207(each lot)
$207 ×4=$828
what is the x coordinate of the point of intersection for 2x+y=7 & 10x-7y=-1
The x-coordinate of the point of intersection for given equations is 2
Step-by-step explanation:
Given equations are:
[tex]2x+y = 7\ \ \ Eqn\ 1\\10x-7y = -1\ \ \ Eqn\ 2[/tex]
The point of intersection is the solution of the system of equations
as we have to find the x-coordinate we will use elimination method to eliminate y
So,
Multiplying equation 1 with 7
[tex]7(2x+y) = 7(7)\\14x+7y = 49\ \ \ \ Eqn\ 3[/tex]
Adding equation 2 and 3
[tex](14x+7y) + (10x-7y) = 49-1\\14x+10x+7y-7y = 48\\24x = 48[/tex]
Dividing both sides by 24
[tex]\frac{24x}{24} = \frac{48}{24}\\x = 2[/tex]
The x-coordinate of the point of intersection for given equations is 2
Keywords: Linear equations, simultaneous equations
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Helpppp Find the perimeter
The perimeter of rectangle is 16x-2y+4.
Step-by-step explanation:
Given dimensions are;
Length = 5x-y
Width = 3x+2
We know that;
Perimeter of rectangle = 2(Length + Width)
Perimeter of rectangle = [tex]2(5x-y+3x+2)[/tex]
Perimeter of rectangle = [tex]2(8x-y+2)[/tex]
Perimeter of rectangle = [tex]16x-2y+4[/tex]
The perimeter of rectangle is 16x-2y+4.
Keywords: rectangle, perimeter
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basketball is played on a rectangular court in which the length is 2m less than twice the width. if the perimeter of the court is 86m, what are the dimensions of the court?
Answer:
length is 28 meters
width is 15 meters
Step-by-step explanation:
Write out formulas and assign variables:
Width: w
Length: l = 2w - 2
Here is a diagram:
2w - 2
| | w
|_________________|
The perimeter formula for rectangle is P = 2(l +w). Substitute the perimeter and the formula for length into the formula.
P = 2(l +w)
86 = 2(2w - 2 + w) Simplify inside the brackets
86 = 2(3w - 2) Divide both sides by 2
43 = 3w - 2 Add 2 to both sides
45 = 3w Divide both sides by 3
w = 45/3 Variable on left side is standard formatting
w = 15 Width of basketball court
Substitute width into the length formula to fin length.
l = 2w - 2
l = 2(15) - 2
l = 30 - 2
l = 28 Length of basketball court
Therefore the length is 28 meters and the width is 15 meters.
The dimensions of the basketball court are 28 meters in length and 15 meters in width.
We need to find the dimensions of the rectangular court where the length (L) is 2 meters less than twice the width (W), given that the perimeter is 86 meters. We can set up the equations as follows:
Equation for the length: L = 2W - 2Perimeter equation: 2L + 2W = 86First, substitute the value of L from the first equation into the second equation:
2(2W - 2) + 2W = 86Simplify and solve for W:
4W - 4 + 2W = 86 => 6W - 4 = 86 => 6W = 90 => W = 15Now, find the length (L):
L = 2(15) - 2 = 30 - 2 = 2Thus, the dimensions of the court are 28 meters in length and 15 meters in width.
A parabolic arch needs to be 5m high and 2m wide at ground level. Find the quadratic equation which describes the arch.
Answer:
[tex]y=-5(x-0)^2+5[/tex]
Step-by-step explanation:
Given height of parabola is [tex]5\ m[/tex].
And [tex]2\ m[/tex] wide at ground level.
Also, the parabola opens down.
Let us assume the parabola is aligned on Y-axis
As the height of parabola is [tex]5\ m[/tex]. The maximum height of parabola is achieved when [tex]x=0[/tex].
So, the vertex of parabola is [tex](0,5)[/tex].
The equation of parabola having vertex [tex](h,k)[/tex] is.
[tex]y=a(x-h)^2+k[/tex].
Plugging the vertex of parabola
[tex](h,k)[/tex] [tex]=[/tex] [tex](0,5)[/tex].
[tex]h=0\ and\ k=5[/tex]
[tex]y=a(x-0)^2+5[/tex]
It is given that parabola is [tex]2\ m[/tex] wide at the ground.
As the parabola is aligned on Y-axis. So, distance between X-intercept is [tex]2\ m[/tex].
The X-intercept would be [tex](-1,0)\ and\ (1,0)[/tex]
Plugging [tex](1,0)[/tex] in the equation [tex]y=a(x-0)^2+5[/tex]
[tex]0=a(1-0)^2+5\\\\-5=a(1)^2\\\\-5=a[/tex]
Now, we get [tex]a=-5[/tex] and having vertex [tex]h=0\ and\ k=5[/tex].
So, the equation of parabola is
[tex]y=a(x-h)^2+k[/tex].
[tex]y=-5(x-0)^2+5[/tex]
Sandy makes $2 profit on every cup of lemonade that she sells and $1 on every cupcake that she sells.Sandy wants to sell at least 5 cups of lemonade and at least 5 cupcakes per day.She wants to earn at least $25 per day.Show and describe all the possible combinations of lemonade and cupcakes that sandy needs to sell to meet her goals.List two possible combinations.If you can please graph.Thank You
Answer:22
Step-by-step explanation:
Answer:maximize p = profit = 2 L + 1 C >/= 25
L >/= 5
C>/=5
start with L = 5
10+C >/= 25
C >/= 15
if L = 6
12 + C >/= 25
C >/= 13
so
L 7, C 11
L 8 ,C 9
L 9 , C 7
L 10, C 5
are your MINIMUM combinations. Of course you can always sell more
Step-by-step explanation:
Simplify the expression with distributive property: 8 ( x + 3 )
Answer:
8x+24
Step-by-step explanation:
8(x+3)=8x+24
Aiko types at a rate of 70 words per minute.
After typing at the same rate for 3 minutes, he had typed a total of 210 words.
This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of words.
Use this information to complete each statement about the linear equation.
The slope of the linear equation is ____
One point on the graph of a linear equation will be ___
This linear equation can be written as ____
In this question, we're trying to make an equation for the given scenario and answer a couple of leading questions.
We know that Aiko types at a rate of 70 words per minute
We would represent this as 70x
x = minutes
We are also given more information that he types 210 words in 3 minutes, that still follows our "70x" scenario.
So our equation would be:
y = 70x
The slope of the linear equation would be 70 or 70/1
The slope would be 70 because this is the change that's happening each minute.
A point on a graph would be at (1 , 70)
You would put this equation into a graph, and you would grab a point that's on the linear line. I'll insert a picture of the graph
The linear equation would be written as: y = 70x
The beginning point would be at 0, since Aiko doesn't type anything for 0 minutes.
Answer:
1 The slope of the linear equation is 70
2 One point on the graph of a linear equation will be 3, 210
3,This linear equation can be written as y-210=70(x-3)
Step-by-step explanation:
Which number line represents the solution of 4 - 3x > 13?
Answer:
[tex]x<-3[/tex]
Step-by-step explanation:
Given inequality:
[tex]4-3x>13[/tex]
In order to represent the solution on the number line, we will first solve the given inequality.
We have
[tex]4-3x>13[/tex]
Subtracting both sides by 4.
[tex]4-3x-4>13-4[/tex]
[tex]-3x>9[/tex]
Dividing both sides by -3.
[tex]\frac{-3x}{-3}<\frac{9}{-3}[/tex] [On dividing both sides by a negative number the sign of the inequality reverses.]
[tex]x<-3[/tex]
So, solution of this inequality will range from -3 to -∞
The number line is represented below.
12 less triple the difference of x and 10 is 24.
Find the value of x.
Answer:
The value of x is 22.
Step-by-step explanation:
We are given that,
12 less triple the difference of x and 10 is 24.
So, according to question :
3(x - 10) - 12 = 24
Adding '12' on both sides of the above equation, we get
3(x -10) - 12 + 12 = 24 + 12
⇒3(x - 10) = 36
Dividing the above equation by '3', we get
3(x - 10) ÷ 3 = 36 ÷ 3
⇒x - 10 = 12
Now, adding '10' on both sides of the above equation, we get
x - 10 + 10 = 12 + 10
⇒x = 22
So, the value of x is 22.
Solve the system of equations.
Step-by-step explanation:
Solve the system via elimination (add the equations):
-10y + 9x = -9
+ (10y + 5x = -5)
-----------------------
14x = -14
x = -1
Plug in the value for 'x' into the second equation:
-10y + 5(-1) = -5
Solve for y:
-10y - 5 = -5
--> -10y = 0
--> y = 0
x = -1
y = 0