Answer:
x = 2.696, x = -0.696
Step-by-step explanation:
We are given the following function of x and we are to find the zeros for the given quadratic function:
[tex]f(x)= 8x^2-16x-15[/tex]
To find its zeros, we will use the quadratic formula:
[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
Substituting the values in the formula where [tex]a=8[/tex], [tex]b=-16[/tex] and [tex]c=-15[/tex].
[tex]x=\frac{-(-16)+-\sqrt{(-16)^2-4(8)(-15)} }{2(8)}[/tex]
[tex]x=\frac{16+-\sqrt{736} }{16}[/tex]
[tex]x=\frac{16+27.13}{16}[/tex] , [tex]x=\frac{16-27.13}{16}[/tex]
[tex]x = 2.696[/tex] , [tex]x=-0.696[/tex]
Therefore, the solutions are 2.696 and -0.696.
Answer: c on edge
Step-by-step explanation:
x=1-square root 23/8 and x=1+square root 7
a potter uses 3/5 of a pound of clay to make a bowl. How many bowls could the potter make from 10 pounds
Answer:
6 bowls
Step-by-step explanation:
10/1 • 3/5
That would equal 30/5 which simplified, is 6
905.255 round each number to the place of the underlined digit. The underline is 5
Answer:
905.26
Step-by-step explanation:
905.255
We are rounding to the hundredths place, so we need to look at the thousandths place. That digit is also a 5. 5>= 5 so we need to round the 5 in the hundredths place up to a 6
905.255 rounds to 905.26
Answer:
905.26 is your answer
Step-by-step explanation:
The 5 you are solving for will be underlined and bolded.
905.255
Note the place value to the right of the value you are solving for. It is a 5. Because it is a 5, round up.
905.255 rounded to the nearest hundredth is 905.26
905.26 is your answer
~
I need help on this SHOW WORK PLEASE
Answer:
∠DOF = 49°
Step-by-step explanation:
note that ∠DOF = ∠DOE + ∠EOF = 27° + 22° = 49°
Assessment items Which inequality represents this sentence? Seven plus five is greater than six plus two. correct answer: 7+5>6+2. 6+2>7+5 6+2>7+5 - no response given 7+5>6+2 7+5>6+2 - correct 7+5<6+2 7+5<6+2 - no response given 7+5≥6+2 7+5≥6+2 - no response given
Answer:
Option A is correct.
An inequality: [tex]7+5>6+2[/tex]
Step-by-step explanation:
Given the sentence: Seven plus five is greater than six plus two.
"Seven" means 7
"Plus" means +
"Five" means 5
"Greater than" means >
"six" means 6
"two" means 2
Then, the inequality for the given sentences is;
[tex]7+5>6+2[/tex]
Identify the type of function represented by f(x)=3/8(4)^x
Answer:
exponential growth
Step-by-step explanation:
The function type is identified by where the variables are, and what their exponents are.
Variable in the exponentWhen the variable is in the exponent of an expression, the function is called an exponential function.
BaseWhen the base of an exponential function has a magnitude greater than 1, the function is a growth function. When it is less than 1, the function is a decay function.
Here, the base is 4, which is greater than 1.
The function is an exponential growth function.
HELP PLEASE HELP!!! ASAP PLEASE
Answer:
i think your answer is 90
The polynomial x^3+8 is equal to
Answer:
(x + 2)(x² - 2x + 4)
Step-by-step explanation:
x³ + 8 ← is a sum of cubes, which factors in general as
• a³ + b³ = (a + b)(a² - ab + b²)
x³ = (x)³ ⇒ a = x and 8 = 2³ ⇒ b = 2
x³ + 8 = (x + 2)(x² - 2x + 4) ← in factored form
Answer:
[tex]x^{3} +8=(x+2)(x^{2} -2x+4)[/tex]
Step-by-step explanation:
The binomial can be factored by the binomial form by trinomial. This binomial is a sum of cubes, whose general form presents the following result.
[tex](x^{3} +y^{3} )=(x+y)(x^{2} -xy+y^{2} )[/tex]
Substituting the values of x and y we will have
[tex]x^{3} =x^{3} ; y^{3} =8[/tex]
Obtaining the cubic roots of each variable
[tex]x=x; y=2[/tex]
So
[tex]x^{3} +8=(x+2)(x^{2} -2x+4)[/tex]
malique solved the system of equations below andfound that x=5. which ordered pair is the solution to the system?
A.(5,4)
B.(5,5)
C.(5,3)
D.(5,2)
Answer:
the answer is C because the slope of the line is what you need to look for with these kinds of problems. it could be any point on the line, but answer C is the only one of its kind.
Step-by-step explanation:
The ordered pair is the solution to the system is (5,3).
What are the ordered pair?A pair of numbers that are written in a particular order, enclosed in brackets are known as ordered pairs.
Malique solved the system of equations below;
[tex]\rm 2x+4y=22\\\\6x+2y=36[/tex]
Reduce the greatest common factor on both sides of the equation
[tex]\rm x+2y=11\\\\3x+y=18[/tex]
From equation 1
[tex]\rm x+2y=11\\\\x=11-2y[/tex]
Substitute the value of x in the equation 2
[tex]\rm 3x+y=18\\\\3(11-2y)+y=18\\\\33-6y+y=18\\\\-5y=18-33\\\\-5y=-15\\\\5y=15\\\\y=\dfrac{15}{5}\\\\y=3[/tex]
Substitute the value of y in the equation 1
[tex]\rm x+2y=11\\\\x + 2(3)=11\\\\x+6=11\\\\x=11-6\\\\x=5[/tex]
Hence, the ordered pair is the solution to the system is (5,3).
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David designs floor tiles. His latest design is shaped as a regular pentagon. Write a formula for the perimeter of the tile in terms of the length of a side. Evaluate the formula for the side length of 3 inches.
a. P = 5s; 15 inches
b. P = 5 + s; 8 inches
c. P = 5 + s; 9 inches
d. P = 5s; 18 inches
The formula for the side length of 3 inches is P = 5s; 15 inches. So option (a) is correct.
To find the perimeter of a regular pentagon, we can use the formula: P = 5s , where P is the perimeter and s is the length of a side.
Let's evaluate this formula for a side length of 3 inches:
P = 5s
P = 5 x 3
P = 15
So, the perimeter of the pentagon with a side length of 3 inches is 15 inches.
The correct option is (a) ( P = 5s; 15) inches.
To find the perimeter of a regular pentagon, multiply the number of sides (5) by the length of one side.
To find the formula for the perimeter of a regular pentagon in terms of the length of a side, let's first understand the properties of a regular pentagon. A regular pentagon is a polygon with five equal sides and five equal angles.
The perimeter of any polygon is the sum of the lengths of all its sides. Since a regular pentagon has five equal sides, we can express its perimeter as the product of the number of sides (5) and the length of one side (s). Therefore, the formula for the perimeter [tex](\( P \)) of a regular pentagon in terms of the length of a side (\( s \)) is \( P = 5s \).[/tex]
Now, to evaluate the formula for a side length of 3 inches, we substitute [tex]\( s = 3 \) into the formula:[/tex]
[tex]\[ P = 5 \times 3 = 15 \text{ inches} \][/tex]
This means that the perimeter of the regular pentagon with a side length of 3 inches is 15 inches.
Therefore, the correct answer is option a: [tex]\( P = 5s; 15 \text{ inches} \).[/tex]
This solution provides a clear explanation of how to derive the formula for the perimeter of a regular pentagon and how to evaluate it for a specific side length.
The first hexagon is dilated to form the second hexagon. Select answers from the drop-down menus to correctly complete the statements. The scale factor is . This represents . A hexagon with a side length of 5. An arrow points to a larger hexagon with a side length of 6.25
Answer: The scale factor is 1.3 .
Step-by-step explanation:
Given: The first hexagon is dilated to form the second hexagon.
The side length of first hexagon=5 units.
The side-length of second hexagon= 6.25 units
When a shape having measure x is dilated by using a scalar factor of k, then the side measure (y) of the image is given by:-
[tex]y=kx[/tex]
Substitute, y=6.5 and x=5 to find the value of k we get
[tex]6.5=5k\\\Rightarrow\ k=\frac{6.5}{5}=1.3[/tex]
Hence, the scale factor is 1.3
Write an algebraic expression less for 6 less than m
How do I rearrange an equation????
Answer:depending on what type of equation but ussuming in standard form it is Ax+By+c
Step-by-step explanation:
To rearrange an equation, balance operations on both sides to isolate a specific variable, maintain units, use calculators correctly, and always check the solution by substituting back into the original equation.
Rearranging an equation involves moving terms from one side of the equation to the other to isolate a specific variable. This process is guided by the principle of balance, which means whatever operations you do to one side of the equation, you must do to the other side to keep the equation balanced. For instance, if you need to move a constant to the opposite side, you would add or subtract it from both sides.
Steps to Rearrange an Equation
Rearrange the equation by moving constants and variables to isolate the desired variable.When dealing with fractions, the same rule applies: Whatever you do to the top (numerator) must also be done to the bottom (denominator), and vice versa.Always keep track of your units and ensure correct calculations with your calculator.After rearranging, substitute back into the original equation to check if the rearranged equation is correct.For example, while dealing with chemical equations, you'll often need to rearrange the formulas for reactants and products to balance the equation.
Chemical Equation Rearrangement Steps
Analyze each equation to determine the needed changes, like flipping the equation or dividing by a coefficient.Identify the formulas for reactants and products and arrange them correctly.Substitute known quantities into the rearranged equation and solve.Check if the solution is reasonable and makes sense.PLS HELP I REALLY NEED PLS PLS PLS HELP!!!!!!!!!!
Which data set COULD NOT be represented by the box plot shown?
A) {12, 7, 9, 8, 7, 10, 10, 10, 6}
B) {10, 9, 7, 8, 12, 7, 6, 10, 9}
C) {6, 10, 7, 9, 9, 7, 12, 8, 10}
D) {12, 7, 6, 8, 9, 9, 7, 11, 14}
Answer:
D) {12, 7, 6, 8, 9, 9, 7, 11, 14}
Step-by-step explanation:
The box plot for Set D (below) has
maximum = 14
3rd quartile = 11.5
IQR = 4.5
=====
Your box plot has
maximum = 12
3rd quartile = 10
IQR = 3
=====
Sets A, B, and C all fit your box plot.
Answer:
D) {12, 7, 6, 8, 9, 9, 7, 11, 14}
Step-by-step explanation:
Write the data in numerical order. Find the first quartile, the median, the third quartile, the minimum (smallest value) and the maximum (largest value).
{6, 7, 7, 8, 9, 9, 11, 12, 14}
Thus,
low -- 6
1st quartile -- 7
median -- 9
3rd quartile -- 11.5
high -- 14
Therefore, this data does not match the graph.
Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold teh gloves and the skirt for a total of £48. She made 100% profit on the cost of the gloves. 20% profit on the total cost. Work out the percentage profit on the cost of the skirt
Given : Molly bought a pair of Gloves which cost £4
Given : Molly sold the Gloves and Skirt for a Total of £48
Given : Molly made 100% Profit on the Cost of the Gloves
⇒ Molly sold the Gloves at a Cost of £8
Selling Price of Gloves + Selling Price of Skirt = £48
⇒ £8 + Selling Price of Skirt = £48
⇒ Selling Price of Skirt = £40
Given : Molly made 20% Profit on the Total Cost
[tex]\mathsf{\implies (\frac{Selling\;Price\;of\;Skirt\;and\;Gloves - Cost\;Price\;of\;Skirt\;and\;Gloves }{Cost\;Price\;of\;Skirt\;and\;Gloves}) \times 100 = 20}[/tex]
[tex]\mathsf{\implies (\frac{48 - 4 - Cost\;Price\;of\;Skirt}{4 + Cost\;Price\;of\;Skirt}) \times 100 = 20}[/tex]
[tex]\mathsf{\implies (\frac{44 - Cost\;Price\;of\;Skirt}{4 + Cost\;Price\;of\;Skirt}) \times 5 = 1}[/tex]
[tex]\mathsf{\implies 5(44 - Cost\;Price\;of\;Skirt) = 4 + Cost\;Price\;of\;Skirt}[/tex]
[tex]\mathsf{\implies 220 - 5(Cost\;Price\;of\;Skirt) = 4 + Cost\;Price\;of\;Skirt}[/tex]
[tex]\mathsf{\implies 6(Cost\;Price\;of\;Skirt) = 216}[/tex]
[tex]\mathsf{\implies (Cost\;Price\;of\;Skirt) = 36}[/tex]
Profit Percentage on the Cost of the Skirt :
[tex]\mathsf{\implies (\frac{Selling\;Price\;of\;Skirt - Cost\;Price\;of\;Skirt}{Cost\;Price\;of\;Skirt}) \times 100}[/tex]
[tex]\mathsf{\implies (\frac{40 - 36}{36}) \times 100}[/tex]
[tex]\mathsf{\implies (\frac{4}{36}) \times 100}[/tex]
[tex]\mathsf{\implies (\frac{1}{9}) \times 100}[/tex]
[tex]\mathsf{\implies 11.11\%}[/tex]
Tony is standing at sea level. From his location, the angle of elevation of the top of Blue Mountain is 25°. Staying at sea level, he walks 200 yards toward the mountain. The angle of elevation of the top is now 30°. Find the height of Blue Mountain. Round intermediate results to 3 decimal places and the final answer to 1 decimal place.
The height of Blue Mountain is ____ yards
Answer:
h = 1558.8
Step-by-step explanation:
Let x be the distance from the vertex of the 30 degree angle to the base of Blue mountain.
Tan (30) = h/x Multiply both sides by x.
x * Tan(30) = h
Tan(25) = h/(x + 200) Multiply x + 200 on both sides.
(x + 200) * Tan(25) = h
Now you have 2 equations both equal to h. The two sides can be equated to each other.
x*tan(30) = (x + h) * Tan(25) Divide both sides by tan(25)
x*tan(30)/tan(25) = x + 200 Find Tan(30)/Tan(25)
Tan30 / tan(25) = 1.23813 so
1.23813 x = x + 200 Subtract x from both sides.
0.23813x = 200 Divide both sides by 0.23813
x = 200/0.23813
x = 839.99
================
That is not the answer you have been asked for. What you need is h.
Tan(30) = x / h Multiply both sides by h
h*tan(30) = x Divide both sides by tan(30)
h = x/tan(30)
h = 839.99/tan(30) Tan 30 = 0.57735
h = 839.99/0.57735
h = 1558.8
HALp...Im suck on this problem
Answer:
x = 55
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
the sum of the 4 angles in a quadrilateral = 360°
the angles to the left and above 130° angle = 50°
Since 130° and 50° form a straight angle and are supplementary
the third angle in the left triangle = 180° - (50 + 30)° = 100°
thus the angle to the right = 180° - 100° = 80° ( straight angle )
the third angle in the upper triangle = 180° - (50 + 45)° = 85°
the angle below it = 180° - 85° = 95° ( straight angle )
We now have 3 angles inside the quadrilateral of 130°, 80° and 95°
x = 360° - (130 + 80 + 95)° = 55
What is the value of y in the following equation?
2y+16=4y+8?
Answer:
4 = y
Step-by-step explanation:
2y+16=4y+8
The first step is to subtract 2y from each side.
2y-2y+16=4y-2y+8
16 = 2y+8
Now subtract 8 from each side
16-8 = 2y+8-8
8 = 2y
Now divide each side by 2
8/2 = 2y/2
4 = y
Edgar purchased a home for $182,100 to home appreciates about 3.5% each year what is the value of the home after 12 years
Answer:
the value of the home after 12 years =$275,165.60
Step-by-step explanation:
To find value of appreciation after 12 years
We apply exponential growth formula
[tex]y=a(1+r)^x[/tex]
Where a represents the initial amount (purchased amount)
a= 182,100
r = rate of interest ( appreciation percentage) = 3.5% = 0.035
x represents the time period= 12 years
Plug in all the values
[tex]y=a(1+r)^x[/tex]
[tex]y=182100(1+0.035)^12[/tex]
y= 275165.6025027724
y=$275165.60
Plz help on this problem stuckkk
Answer:
8 1/2
Step-by-step explanation:
Given:
m = 2 1/2 n = 4 1/4 m^2 + (n - 2)Looks like you already know what PEMDAS is.
Substitute the values of m and n into the underlined equation-- make sure you include parentheses around the numbers you substitute as this helps you easily see what you are doing.
(2 1/2)^2 + ((4 1/4) - 2)
Start inside the parentheses and subtract 2 from 4 1/4, then rewrite your equation.
(2 1/2)^2 + (2 1/4)
Next evaluate the exponent.
(6 1/4) + (2 1/4)
Since the fractions already have common denominators, you can add the whole numbers and the fractions together.
8 2/4
2/4 can be simplified by dividing both sides by 2/2.
8 1/2 is the final, fully simplified answer.
Identify the similarity postulate or theorem that applies
estimate the value of 98.7×13
you walk five city blocks in 12 minutes how many city blocks can you walk in 2 hours
Answer:
50
Step-by-step explanation:
12*5=60---------------1 hour
5*2=10
10*5=50
In 2 hours 50 City blocks will be covered.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Five city blocks covered = 12 minutes
So, in one minutes the blocks covered = 5/12
Then, to walk 2 hours the number of block covered
= 120 x 5 /12
= 5 x 10
= 50 blocks
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7×60 is it <,> or = 400
Answer:
>
Step-by-step explanation:
7 x 60 = 420
So...
420 > 400
(420 is greater than 400)
Answer:
420>400
Step-by-step explanation:
7×60 is it <,> or = 400
First we multiply the left side
7*6 = 42 so
7*60 = 420
420>400
find the product. Simplify your answer 5/-7x times -9y/8
Answer:
[tex]\frac{45y}{56x}[/tex]
Step-by-step explanation:
[tex]\frac{5}{-7x} times \frac{-9y}{8}[/tex]
When we multiply two fractions we multiply numerator with numerator and denominator with denominator
5 times -9y is -45y
Then -7x times 8 is -56x
So the fraction becomes [tex]\frac{-45y}{-56x}[/tex]
we have negative at the top and bottom so it becomes positive
[tex]\frac{45y}{56x}[/tex]
We cannot simplify further
What is the price of a banquet at Bella’s for 150 people
Answer:
4500
Step-by-step explanation:
you just need to see where the line stops at the price and drag your finger across to see how many people :}
Answer:
$4500
Step-by-step explanation:
Bellas line is the purple colored line. She wants a banquet for 150 people. That is along the x axis or across the bottom. Go up from 150 until you hit the purple line and then go left until you hit the y axis. That is the cost of a banquet for 150 people for Bella
Is the equation below an example of growth or decay y =5(6.8)x
The equation y = 5(6.8)x represents an exponential growth relationship, where an increase in the variable 'x' leads to a proportional increase in the dependent variable 'y'.
Explanation:The equation y = 5(6.8)x is an expression of exponential growth, not decay. In this type of equation, known as an exponential relationship, a change in the independent variable x produces a proportional change in the dependent variable y. The factor 6.8>1 which means as x increases, y increases at a faster rate, indicating growth.
For example, this form of equation is often used to describe population growth such as bacteria under ideal conditions. Each generation of bacteria reproduces, increasing the growth rate as the bacteria population rises. This growth-based relationship can be visualized using a graph where the growth rate would be represented as a rising curve.
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Which of the following is the value of x, in degrees, of DEF triangle shown below
Answer:
43.25
Step-by-step explanation:
You answer is going to be 43.25.
Thank you
What is the factorization of 3x^2-8x+5
Answer:
(x - 1)(3x - 5)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x-term.
product = 3 × 5 = 15 and sum = - 8
The factors are - 3 and - 5
use these factors to split the middle term
3x² - 3x - 5x + 5 ( factor the first/second and third/fourth terms )
= 3x(x - 1) - 5(x - 1) ( take out the common factor (x - 1) )
= (x - 1)(3x - 5)
Answer:
(x - 1)(3x - 5)
I need help!
x/2.5=1
Answer:
x = 2.5
Step-by-step explanation:
Multiply 2.5 to remove the denominator
x/2.5 * 2.5 = 1
Multiply 2.5 on the other side.
2.5 * 1
x = 2.5
Answer:
x = 2.5
Step-by-step explanation:
x/2.5=1
To solve this equation, multiply both sides by 2.5
x/2.5* 2.5=1 * 2.5
x = 2.5
Which symbol correctly compares these fractions?
9
10 ___ 36
40
Answer:
Step-by-step explanation:
I am assuming this is meant to say 9/10 and 36/40.
If so 9/10=36/40.
Because 10 x 4 = 40
and 9 x 4 = 36.
Hope this helps! :)