No, x^2 + 20x - 100 is not a perfect square trinomial.
Explanation:No, x^2 + 20x - 100 is not a perfect square trinomial.
In order for a trinomial to be a perfect square, it must be in the form (a + b)^2 or (a - b)^2.
The given trinomial can be factored as (x + 10)(x - 10), which is not in the form of a perfect square.
ten minutes aftee a father left for work on the bus, he noticed that he had left his briefcase at home. His soj krft home driving 60 mph, to catch the bus that was traveling at 48 mph. How lonh did it take the son to catch the bus?
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Marcus is buying CDs. They add up to $31 before tax. the sales tax rate where he lives is 5 percent. How much will his CDs cost including tax?
If the measure of one interior angle of a regular polygon is 144 degrees, find
the number of sides
The number of sides in the regular polygon is 2.
Explanation:To find the number of sides in a regular polygon, we can use the formula:
Number of sides = 360 degrees/measure of each interior angle
In this case, the measure of one interior angle is given as 144 degrees. Substituting this value in the formula, we get:
Number of sides = 360 degrees/144 degrees = 2.5
Since the number of sides cannot be a decimal, we round down the answer to the nearest whole number. Therefore, the number of sides of the regular polygon is 2.
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The number of sides of a regular polygon with each interior angle measuring 144 degrees is 10.
To find n, we can use the formula for the sum of interior angles of a polygon, which is (n-2) times 180 degrees.
Since we know that each angle measures 144 degrees in this regular polygon, we can set up the equation (n-2)times 180 degrees = n times 144 degrees.
Solving for n gives us:
n times 144 degrees = (n-2) times 180 degrees
n times 144 degrees = 180n - 360 degrees
180n - 144n = 360 degrees
36n = 360 degrees
n = 10.
What are the ordered pairs of a line whose slope is 5, the y intercept is 3, the rise is 5, and the run is 1?
Given:MO−→− bisects ∠LMNm∠LMO = 6x−20m∠NMO = 2x+36Solve for x and find m∠LMN.
X=14
Plug it back into both angles add it together and LMN = 128 degrees
what is 32x+16y+52 pls help me thx
Answer:I remember when I did this I suggest to look up what gcf means be ur supposed to identify it first then the other trash aka math
Step-by-step explanation:
Michael washes the Gomez family’s cars once a month they pay him $25 every 3 months for his work at this rate how much will Michael earn in one year ?
So you need to see how many times they get paid in a year. 12 months ÷ by every 3= 4. So then you multiply the $25 by 4. Which equals $100.
Final answer:
Michael will earn $100 in one year by washing the Gomez family's cars, as he is paid $25 every 3 months and there are 4 three-month periods in a year.
Explanation:
The question involves calculating how much Michael will earn in one year from washing the Gomez family's cars. Since Michael is paid $25 every 3 months, we first determine how many 3-month periods are in one year. There are 4 such periods in a year (12 months ÷ 3 months = 4). Therefore, Michael will earn $25 for each of these 4 periods.
To find the total amount Michael will earn in one year, we multiply the amount he earns every 3 months by the number of 3-month periods in a year:
$25 per period × 4 periods per year = $100 per year
Check all that apply
Answer: Choice A and choice C
The fractional exponent of 1/2 means that the root index is 2, which is a square root. So (13+8)^(1/2) becomes sqrt(13+8) = sqrt(21)
"sqrt" is a common abbreviation of "square root"
does the table represent an exponential function?
x 1 2 3 4
y -2 -12 -72 -432
a) yes
b)no
Yes this is an exponential function. One way we can determine this is to notice how each y term is multiplied by 6 to get the next y term
example: -2 times 6 = -12
another example: -12 times 6 = -72
The exponential function that models this data is y = -2*6^(x-1). Note how plugging in x = 1 leads to y = -2. Plugging in x = 2 leads to y = -12, and so on.
Write the following equation in the general form Ax + By + C = 0. 2 x + y = 6 2x + y - 6 = 0 2x + y + 6 = 0 2x - y - 6 = 0
2x + y - 6 = 0
given 2x + y = 6 ( subtract 6 from both sides )
2x + y - 6 = 0 ← in general form
Answer:
Option B
Step-by-step explanation:
We have to write the equation in the general form
Ax + By + c = 0
Equation is 2x + y = 6
We subtract 6 on both the sides of the equation to convert in the standard form.
2x + y - 6 = 6 - 6
2x + y - 6 = 0
where A = 2
b = 1
and c = (-6)
Option B will be the answer.
How do I solve this??
one day paul ran at a rate of 0.15 mile per minute for 40 minutes. the next day paul and Jen ran together at a rate of 0.16 mile per minute to 50 minutes. how far did paul run altogether
14 miles in all which is pretty fast
pls help!! will give brainliest and 5star
Find The Slope Of The Line.
A.) -3/4
B.) 4/3
C.) -4/3
D.) 3/4
(0,1) and (4, -2)
Slope = (1 + 2)/(0 - 4) = -3/4
Answer
A.) -3/4
The answer is D. 3/4 because
Slope= Rise/run= 3/4
In the previous video, you compared the two functions below.
f(x) = 1.2t g(x) = 1.2t-5
What did subtracting 5 in the exponent do to the function? Check all that apply.
It shifts the graph of f left 5 units.
It shifts the graph of f right 5 units.
It multiplies all the y-values by 5.
It divides all the y-values by 5.
It multiplies all the y-values by 1.25.
It divides all the y-values by 1.25.
Answer:
It shifts the graph of f right 5 units. It divides all the y-values by 1.25.Step-by-step explanation:
Subtracting 5 in the exponent of the function g(x) = 1.2t-5 shifts the graph of f(x) right 5 units, and it does not affect the y-values of the function.
Explanation:Subtracting 5 in the exponent of the function g(x) = 1.2t-5 shifts the graph of f(x) right 5 units. This is because the exponent determines the horizontal translation of the function. Adding or subtracting a constant value inside the exponent causes the function to shift right or left, respectively.
Furthermore, subtracting 5 in the exponent does not affect the y-values of the function. It only affects the x-values, specifically their positions on the x-axis.
Therefore, the correct statements are:
It shifts the graph of f right 5 units.It does not multiply or divide the y-values by any factor.Hypatia has read 13 chapters of a 22 chapter book. What percent of the chapters had she read ?
the answer to the question would be 59%
Ursula is entering a bicycle race for charity. Her mother pledges $0.75 for every 0.5 mile she bikes. If Ursula bikes 17.5 miles, how much will her mother donate?
she will donate $26.25
The change in the value of a stock is represented by the rational number -5.90 describe in words what this means
We are given : A stock is represented by -5.90.
The given number is a negative number.
Note: When a stock is given by a negative number, it represents the decrease in stock and when a stock is given by a positive number, it represents the increase in stock.
As we are given number is a negative number, we can just say that
" The stock value is being decrease by 5.90".
The rational number -5.90 can be described as "negative five and ninety hundredths."
Explanation:
The rational number -5.90 can be described in words as "negative five and ninety hundredths." The negative sign indicates that the change in the value of the stock is a decrease. The decimal portion, 0.90, represents nine tenths, meaning that the value of the stock has decreased by 5 and 9/10 units.
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Two plus the quotient of a number and 8 is the same as 16. Answer it as a equation
Answer:
2 + n / 8 = 16
Step-by-step explanation:
Multiply through by 8
2*8 + n = 16*8 Combine factors
16 + n = 128 Subtract 16 from both sides
16 - 16 + n = 128 - 16 Combine terms
n = 12
The square of 9 less than a number is 3 less than the number. What is the number?
Answer:
The number is 12 or 7.
Step-by-step explanation:
According to question,
The square of 9 less than a number is 3 less than the number.
i.e. [tex](x - 9)^2 = x - 3[/tex]
Solving the equation,
[tex]x^2 - 18x + 81= x - 3[/tex]
[tex]x^2 - 19x + 84 = 0 [/tex]
[tex](x - 12)(x - 7) = 0 [/tex]
[tex](x - 12)=0,(x - 7) = 0 [/tex]
[tex]x=12,7 [/tex]
Therefore, The number is 12 or 7.
Matt is repairing a gate and needs to nail a brace diagonally to strengthen the posts. If the hieght of the post is 48 inches and there is 64 inches between posts, in inches, what should the length of the diagonal brace be on order to fit between the posts?
(a) 80 inches
(b) 42 inches
(c) 15 inches
(4) inches
We have to realize that the height of a post and the horizontal distance between the posts form a right angle. Then the diagonal that joins the highest point of a post and the lowest point of the other post is the hypotenuse of a right triangle. Then we can apply the Pythagorean theorem to calculate the length of this hypotenuse.
According to the Pythagorean theorem H² = P² + D² where H is the hypotenuse (diagonal) and P the height of a post (cathetus) and D the distance between posts (cathetus).
Since we know these values, we can replace them :
H² = (48inches)² + (64inches)² = 2,304inches² + 4,096inches² = 6,400inches²
H = [tex]\sqrt{6400inches^{2}}[/tex] = 80inches
Answer : (a) 80 inches
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
The length of the diagonal brace should be 80 inches.
Explanation:To find the length of the diagonal brace, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the height of the post and the length between the two posts are the two sides of the right triangle. We can use the equation 48^2 + 64^2 = c^2, where c represents the length of the diagonal brace. Solving for c gives us c = sqrt(48^2 + 64^2) = 80 inches. Therefore, the length of the diagonal brace should be 80 inches.
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Let's just get the right answer plz ppl
Answer:
[tex]\large\boxed{3xy^3}[/tex]
Step-by-step explanation:
[tex]\dfrac{9x^{-1}y^{-6}}{3x^{-2}y^{-9}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=3x^{-1-(-2)}y^{-6-(-9)}=3xy^3[/tex]
PLEASE HELP!!!!WILL GIVE BRAINIEST TO WHOEVER ANSWERS
1. Suppose the path of a golf ball, in a chip shot from a small hill, follows the path graphed by the quadratic function ƒ(d) = –1.6d2 + 3.3d + 0.2 where d is the horizontal distance the ball travels, and ƒ(d) is the height, in meters, of the ball at d horizontal distance. Find the total horizontal distance the ball traveled while in the air.
A. 2.12 meters horizontally
B. 2.26 meters horizontally
C. 1.84 meters horizontally
D. 2.95 meters horizontally
2. Suppose the path of a golf ball, in a chip shot, follows the path graphed by the quadratic function ƒ(d) = –1.6d2 + 3.3d + 0.2 where d is the horizontal distance the ball travels, and ƒ(d) is the height, in meters, of the ball at d horizontal meters. Identify the domain and range that matches this situation.
A. Domain: [0,2.07] horizontal meters; range: [0, 1.72] vertical meters
B. Domain: [0,2.07] horizontal meters; range: [0, 1.72] vertical meters
C. Domain: [0,2.12] horizontal meters; range: [0, 1.90] vertical meters
D. Domain: [0,2.07] horizontal meters; range: [0, 1.72] vertical meters
1. First calculate the positive root of the quadratic using your preferred formula. I got a solution [tex]d = 1/32 (33 + \sqrt{1217})=2.121...[/tex]. That gives you the distance the ball traveled from d=0 (small hill). So the answer is A.
2. The domain is [0,2.121...]. The range is from 0 to the max height. The d for which the ball is the highest is given by the formula x = -b / 2a = -3.3/(-3.2) = 1.031... so the max is 1.902... So the range is [0,1.902...] So the answer is C.
how can you use an array to show the commutative property
Arrays are useful representations of multiplication concepts of the commutative property.
We need to find how can you use an array to show the commutative property.
What is the commutative property?The word 'commutative' originates from the word 'commute', which means to move around. Hence, the commutative property deals with moving the numbers around. So mathematically, if changing the order of the operands does not change the result of the arithmetic operation then that particular arithmetic operation is commutative.
An arrangement of objects, pictures, or numbers in rows and columns is called an array. Arrays are useful representations of multiplication concepts (among other ideas in mathematics).
The commutative property of multiplication can be neatly illustrated using an array. For example, the array above could be read as 2 rows of 6, or as 6 columns of 2. Or the array could be physically turned around to show that 2 rows of 6 have the same number as 6 rows of 2.
Therefore, arrays are useful representations of multiplication concepts of the commutative property.
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At a butcher shop, Hilda bought 4 17/20 lb of Beef and some pork. She left with 19 24/25 lb of meat. Express the number of pounds of pork she bought using a decimal
so Hilda bought ? lb of pork
SOMEONE HELP ME ON THIS ONE
Hilda bought 15.11 pounds of pork by subtracting the weight of the beef (4.85 pounds) from the total weight of meat she left with (19.96 pounds).
Explanation:To determine how many pounds of pork Hilda bought, we need to subtract the weight of the beef from the total weight of the meat she left with. First, convert the fractions to decimals. The weight of the beef is 4 17/20 pounds, and 17/20 as a decimal is 0.85, so the beef weight is 4.85 pounds.
The total weight of the meat Hilda left with is 19 24/25 pounds, and 24/25 as a decimal is 0.96, so the total weight is 19.96 pounds.
Next, subtract the weight of the beef from the total weight to find the weight of the pork:
19.96 - 4.85 = 15.11 pounds.
Therefore, Hilda bought 15.11 pounds of pork.
Final answer:
Hilda bought 15.11 lb of pork, found by converting the meat weights to decimals and subtracting the weight of the beef from the total weight of meat she left with.
Explanation:
To find out how many pounds of pork Hilda bought, we need to subtract the weight of the beef she bought from the total weight of the meat she left with. First, we convert the amounts of meat to decimal form for easier subtraction.
Hilda bought 4 17/20 lb of beef. To convert this to a decimal, we divide 17 by 20 and then add it to 4:
17 ÷ 20 = 0.85
4 + 0.85 = 4.85 lb of beef.
Hilda left with 19 24/25 lb of meat in total. To convert this to a decimal, we divide 24 by 25 and add it to 19:
24 ÷ 25 = 0.96
19 + 0.96 = 19.96 lb of meat in total.
To find the weight of the pork, we subtract the weight of the beef from the total weight of the meat:
19.96 lb (total meat) - 4.85 lb (beef) = 15.11 lb of pork.
So, Hilda bought 15.11 lb of pork.
One of the fastest recorded speeds of an alligator on land is 8.8 m/s. Approximately, what is the speed in kilometers per hour?
The given speed is = 8.8 meter per second
To convert it in kilometer per hour, we will do the following steps:
1 meter = 0.001 km
So, 8.8 meter = 0.0088 km
3600 seconds = 1 hour
1 sec = [tex]\frac{1}{3600}[/tex] hours
now, [tex]\frac{8.8meter}{second} = \frac{0.0088}{\frac{1}{3600} }[/tex]
Now multiplying 0.0088 and 3600
[tex]0.0088*3600[/tex]
= 31.68 km/h
How do you find a unit rate?
Solve the example:
4/5 to 5/9
You find a unit rate by divide to fraction.
Ex:
4/5 x 9/5 = 36/25
_________
5/9 x 9/5= 45/45
36/25
______
1
=
36/25
Whole number example:
5 for every 6
5/1 x 1/6= 5/6
______________
6/1 x 1/6 = 6/6
6/6=1
5/6
________
1
=
5/6
Hello,
How do you find a unit rate?
"Divide both numbers by the denominator; your answer is the number you get by dividing the numerator by the denominator. "
Solve 4/5 to 5/9
Find common denominators:
4/5 = 36/45
5/9 = 25/45
Copy Dot Flip:
36/45 x 45/25
= 1575/1125
Divide:
1575 / 1125 = 1.4
Answer:
1.4
Order from least to greatest. -22.7, 126, 8.28, 3.28, -3.516, 43.9
-22.7, -3.516, 3.28, 8.28, 43.9, 126
Negatives that are closer to 0. Are considered higher than negatives that are farther away. Negative means less than like in subtraction.
Question 2 need to do a ratio table
Answer: It would take Tanya 15 minutes to run 2 kilometers
Answer: 15 minutes
Step-by-step explanation: This is true because:
If Tanya can run 8 kilometers in an hour (60 minutes) and you need to find how long it takes for her to run 2 kilometers there are two ways you can solve this:
#1: You find the unit rate (how long it takes Tanya to run 1 kilometer).
This would be written as 8 kilometers divided by 60 minutes. Once you do that math, you should get 7 1/2 minutes for one kilometer. However, since she is running 2 kilometers, you would multiply 7 1/2 by 2 to get your answer, which is 15 minutes.
#2: You set up a proportion to solve this problem:
This would be written as:
8/60 == 2/x, where the numerator of each fraction is the number of kilometers ran, the denominator is how long it took to run that distance, and x is the amount of minutes it took Tanya to run 2 kilometers. If you cross multiplied, you would get the following equation:
8x=120.
To get x by itself, you would divide both sides by 8; 8x/8 is x, and 120/8 is 15, getting you an answer of x=15, or 15 minutes.
distributive property 9(5j+7+4j)
just multiply them all by 9, so the answer would be
45j+63+36j
Hey!
Explanation
↓↓↓↓↓↓↓↓↓
First, simplify.
[tex]5j+7+4j[/tex]
Group like terms:
↓↓↓↓↓↓↓↓↓↓↓↓↓
[tex]5j+4j+7[/tex]
Second, add similar elements.
[tex]5j+4j=9j[/tex]
[tex]=9j+7[/tex]
[tex]=9(9j+7)[/tex]
And the answer is⇒⇒⇒⇒=9(9j+7)
Hope this helped!
Thank you for posting your question.
-Charlie