Answers
Solution:
[tex]\text{Area of square = L}^{2} \ \ \ \ \ \text{(L = Side)}[/tex]
[tex]\rightarrow \text{Area of square} = (3x^{2} - 5)^{2}[/tex]
Using the formula "(a + b)² = a² + 2ab + b²"
[tex]\rightarrow \text{Area of square} = (3x^{2} )^{2} - 2(3x^{2} )(-5) + 5^{2}[/tex]
Simplifying the LHS:
[tex]\rightarrow \text{Area of square} = (3x^{2} )(3x^{2} ) +(30x^{2} ) + 25[/tex]
[tex]\rightarrow \boxed{\text{Area of square} = 9x^{4} +30x^{2} + 25}[/tex]
Related Questions
Each day, a zoo sells 8400 special admission passes to visitors. The passes allow these visitors to enter the park early. The number of visitors who pay the normal entry fee has been decreasing by 7% each day. Today, 56,000 visitors paid the normal entry fee. Which function represents what the total number of visitors to the zoo will be after x days?
A. f(x)=56,000(0.93)x+8400
B. f(x)=56,000(0.93)x
C. f(x)=56,000(0.07)x
D. f(x)=56,000(0.07)x+8400
Answers
9514 1404 393
Answer:
A. f(x)=56,000(0.93)x+8400
Step-by-step explanation:
The growth rate is -7%, so the growth factor will be 1 -7% = 0.93. This is the base of the exponential term.
The 8400 special passes will add 8400 visitors to the park in addition to those who pay the regular fee. Thus the number of visitors is ...
f(x) = 56,000(0.93^x) +8400 . . . . matches choice A
a teacher has a 12 lb bag of sand the sand will be divided evenly into 0.8 pound container if using all the saying how many 0.8 pound containers does the teacher use
Answers
Are 4/7 and 12/21 equivalent fractions? Why or why not?
Answers
Answer:
Yes
Step-by-step explanation:
12/21 simplified is 4/7. if you divide the numerator (12) by 3 and the denominator (21) by 3, you get 4 and 7, or 4/7 if you put it together.
4/7 and 12/21 are equivalent fractions
What is Fraction?A fraction represents a part of a whole.
We need to check whether the fractions 4/7 and 12/21 are equivalent or not.
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.
12/21 we have to simplify.
12 and 21 are the multiples of 3, so divide numerator and denominator by 3
which gives 4/7
12/21=4/7
Hence, 4/7 and 12/21 are equivalent fractions
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Write the slope-intercept form of the given line. Include your work in your final answer.
Answers
Answer:
[tex]y=-\frac{1}{3}x+1[/tex]
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Where 'm' = slope of the line
b = y-intercept
From the picture attached,
b = 1
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through the points (0, 1) and (3, 0) will be,
m = [tex]\frac{0-1}{3-0}[/tex] = [tex]-\frac{1}{3}[/tex]
Equation of the line will be,
[tex]y=-\frac{1}{3}x+1[/tex]
= ?[tex]\sqrt{x} \sqrt{x} -(-9)^2\\[/tex]
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{x} \sqrt{x} -(-9)^{2} \\=x-81\\x=81[/tex]
50 PONITS This model represents an equation. (a) Write an equation that could be used to solve x. (b) Solve the equation for x. Show your work.
Answers
Answer:
A) [tex]5x-1=-6[/tex]
B) [tex]x=-1[/tex]
Step-by-step explanation:
On the left, we have five (positive) Xs and one -1. So, we can represent the left with the expression [tex]5x-1[/tex].
On the right, we have six -1s. So, we can represent the right with the expression [tex]-6[/tex].
A)
Since the balance is balanced, we know that the two expressions are equal to each other. So, we can write the equation:
[tex]5x-1=-6[/tex]
B)
Now, we can solve the equation for x. Add 1 to both sides:
[tex](5x-1)+1=(-6)+1[/tex]
The left will cancel. Add on the right:
[tex]5x=-5[/tex]
Finally, divide both sides by 5:
[tex](5x)/5=(-5)/5[/tex]
The left side will cancel. So, the value of x is:
[tex]x=-1[/tex]
Answer:
A) 5x-1=-6
B) x=-1
Step-by-step explanation:
Determine the square root for each perfect square.
1. √64
2. √100
3. √81
4. √16
5. \sqrt 4/9
6. \sqrt 1/4
Answers
Dalyn is selling girl scout cookies. She sold 7 boxes of thin mints (x) and 12 boxes
of tagalongs (y). If she made $82 selling cookies, write an equation that
represents the scenario. *
Answers
Answer:
7x+12x=82$
Step-by-step explanation:
Dalyn is selling girl scout cookies. She sold 7 boxes of thin mints (x) and 12 boxes
of tagalongs (y). If she made $82 selling cookies, write an equation that
represents the scenario. *
$4.99 for 6 cans or $7.99 for 10 cans?
Answers
Answer:
$7.99 for 10 cans
Step-by-step explanation:
First you want to see what the price is for one can. Do this by dividing 6 from 4.99 (4.99/6). This gives you 83 cents per can. Do the same for the other, and you get 79 cents per can. 79 cents is a better value than 83 cents.
Which of Talia's steps is incorrect?
Step:1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1,3) into the point-slope form
Answers
Answer:
Step-by-step explanation: B
Try This question out and I’ll give you brainliest
Answers
Answer:
B
Step-by-step explanation:
2d represents the amount sold on Tuesday
subtracting 150 from this amount fits the question
find the sum for (2w-9) + (-4w - 5)
Answers
Answer:
The solution to this problem is −2−14
Step-by-step explanation:
Suppose a sample of radioactive substance weighs 40 mg. One year later the sample weighs 29.5 mg. What is the half life of the substance?
Answers
Answer:Use the radioactive decay formula: A = Ao*2^(-t/h), where:
A = Amt of remaining after t time
Step-by-step explanation:
Ao = Initial amt
t = time of decay
h = half-life of the substance
in this problem
A = 21.5
Ao = 38
t = 1 year
h = half life of substance
A survey found that women's heights are normally distributed with mean 63.9 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.9 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts (a) and (b) below.
a. Find the percentage of men meeting the height requirement.
What does the result suggest about the genders of the people who are employed as characters at the amusement park?
Answers
given the following functions, find and simplify (f−g)(x).
f(x)g(x)=−2x2+2x+3=−4
Answers
Answer: (F-G)(x)=5x2+2i +1
Step-by-step explanation
The resulting function for (f−g)(x) is 2x²+x-3
Let the required functions be:
f(x)=2x²+3x
g(x)=2x+3
We are required to find (f−g)(x).
(f−g)(x). = f(x) - g(x)
(f−g)(x) = 2x²+3x - (2x+3)
(f−g)(x) = 2x²+3x - 2x - 3
(f−g)(x) = 2x²+x-3
Hence the resulting function for (f−g)(x) is 2x²+x-3
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How many times larger is 1 x 106 than 5 x 10-5?
Answers
5*10-5=495
495/106≈ 4.67
if 5x + 7 = 8x - 3, then x=?
Answers
Answer:
Find the Inverse Function f(x)=5x-7. Replace with . Interchange the variables. Solve for . Tap for more steps... Rewrite the equation as . Add to both sides of the equation. Divide each term by and simplify.
Step-by-step explanation:
Step-by-step explanation:
5x+7=8x-3
subtract 7 from both sides
5x=8x-10
subtract 8x from both sides
-3x=-10
divides -3 from both sides
x=0.3
I hope I'm right and hope I helped :))
Select all of the true statements
Answers
Answer: May you give the statements?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Where is the statement?
Explain how you can find the missing number in 3 4/5 divided by x equal 2 5/7. Then find the missing number.
Answers
Answer:
You multiply
Step-by-step explanation:
You multiply 3 4/5 and 2 5/7
Answer is 10 1/3
A square has a perimeter of 4 yd. What is the length of each side?
Answers
add them together to get the perimeter of four
The length of each side of the square will be 1 yard.
What is the perimeter of the square?A square has four equal sides, and four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.
The square's perimeter is four times as long as its side.
For a square with a side length of a unit, we get:
Perimeter of the square = 4a unit
A square has a perimeter of 4 yards. Then the length of each side of the square will be given as,
4 = 4a
a = 1 yard
The length of each side of the square will be 1 yard.
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If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
There is one real root.
There are two complex imaginary roots.
There is one complex imaginary root.
There are two real roots.
Answers
Answer:
Step-by-step explanation:
A discriminate of -8 is never going to give you a real root. D is wrong
You cannot have just 1 complex root, nor can you have just 1 real root unless the discriminate is 0. A and C are both wrong for the same reason. 1 complex root is impossible. They come in pairs.
So the answer is B. You have 2 complex roots.
Which of these sentences is always true for a parallelogram?
ОА.
All sides are congruent.
O B.
All angles are congruent.
O C.
The diagonals are congruent.
D.
Opposite angles are congruent.
Answers
Answer:
d
Step-by-step explanation:
when you look at a parallelogram, it could be a rectangle, square, or rhombus. so apply each of these statements to all of these shapes to see if they are true.
a. on a rectangle, not all sides are congruent. cant be that one
b. on a rhombus, not all angles are congruent. cant be that one
c. on a rhombus, the diagonals are not the same length. cant be that one
d. on every parallelogram, the opposite angles are congruent because that is what makes opposite sides parallel
hope this helped :)
please help me finding both angles, thanks :)
Answers
1) 123
2) 57
for the second
1) 123
2) 57
Both are 123
When dealing with angles you have to remember that all angles add up to 180, “the line angle” as I like to call it, it’s because 180 is completely flat.
2: Here you can use your eyes to see the angle is wider than 90, ”a perfect right”. So you can easily assume that the angle is gonna be 123.
1: the angle here shares the same place as your original angle. So you can easily assume that they have the same degree
Simple things very clear, hope this helps
Identify the slope using the
following two points: (-1, 6) and
(-3, 10)
Answers
Step-by-step explanation:
Remember (y2-y1)/(x2-x1)
[tex] \frac{y {}^{2} - y ^{1} }{x {}^{2} - x {}^{1} } [/tex]
for y, 10-6 = 4
for z, -3 + 1= -2
4/-2 is -2
your slope is -2
The quotient of a number and -5 has a result of 2. What is the number?
Type the correct answer in the box. Use numerals instead of words.
n =
Answers
Answer:
Answer is -10
Step-by-step explanation:
Explanation:
First, define the variable. Let n represent the unknown number.
Next, write an equation to represent the situation. Because a quotient is the result of division, divide the unknown number by -5:
.
Then, use opposite operations and the properties of equality to solve for n. Notice that the variable, n, is divided by -5. So, to isolate n, do the opposite and multiply both sides of the equation by -5:
Finally, to check the solution, substitute -10 for n in the original equation:
The resulting statement is true, so the solution is correct.
Functions I need help with 14-17
Answers
Answer:
14) No. 15) No. 16) Yes. 17) Yes.
Explanation:
When something is not a function, you can either use the vertical line test which involves drawing a line going up and down to see if the graph hits the line more than once. If this is the case, it is not a function. Or the input or x value of a function cannot have more than one
output or y value.
The line x = |y| on the graph of #14 is not a function because there is more than one y value for a single x value. This also hits a vertical line more than once.
The table on #15 is not a function because their is more than one y value per x value. It also hits a vertical line more than once.
The equation y = 1/4x is a function because there is only one output for each input. This also does not hit a vertical line more than once
The equation x = y - 1 is a function because it is simply a rearanged version of y = x + 1 which has only one output for each input. It also does not hit a vertical line more than once.
Ten times the sum of a number and 4 translated into mathematical expression
Answers
Answer:
10(x + 4)
Step-by-step explanation:
Let x be the number
Sum of a number and 4: x + 4Ten times the sum of a number and 4: 10(x + 4)I hope this helps!
The mathematical expression of Ten times the sum of a number and 4 is 10(x + 4).
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can also be used to indicate the logical syntax's order of operations and other features.
Let x be the number,
Where the Sum of a number and 4:
x + 4
Then Ten times the sum of a number and 4:
10(x + 4)
Therefore, the mathematical expression of Ten times the sum of a number and 4 is 10(x + 4).
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Write an equation of the line that passes through
(4,-2) and is parallel to the line y = 3x -1.
Answers
Answer:
trump 2020
Step-by-step explanation:
reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
HELP I GIVE 15 POINTS
Answers
Answer:
Alright well first off you start by converting everything to fractions, but decimals work better for me. So it would be 40.5 and 1.25, 40.5 being miles and the other gas. Divide 40.5 by 1.25, giving you 32.4
His car get 32.4 miles per gallon
What is the volumein cubic in, of a cylinder with a height of 20in and a base radius of 6in to the nearest tenths place ?
Answers
Answer:
[tex]Vc = 2,261.9\ in^3[/tex]
Step-by-step explanation:
Volume of a Cylinder
The volume of a cylinder of radius r in and a height h can be calculated by:
[tex]Vc=\pi\cdot r^2\cdot h[/tex]
The height of the cylinder is h = 20 in and the base radius is r = 6 in, thus:
[tex]Vc=\pi\cdot 6^2\cdot 20[/tex]
[tex]Vc = 2,261.9\ in^3[/tex]