Answers
Related Questions
How do you use the additive inverse to evaluate an expression that uses subtraction
Answers
Answer:
Additive inverse is the negative of the number, i.e. what you add to the number to get zero.
So the additive inverse of number b is - b
Additive inverse of 4 is - 4.
Then, you can verify the subtraction is the same that add the additive inverse.
For example subtracting 4 from 10 (10 - 4) is the same that adding -4:
10 - 4 = 10 + (-4).
Then given any expression if you have to subtract other expressión you just add the addive inverse of the second expression.
For example: given A(x) = x^2 + 3x + 5 and B(x) = 2x + 4
Find A(x) - B(x) = A(x) + [-B(x)]
=> x^2 + 3x + 5 + (-2x -4) = x^2 + 3x - 2x + 5 - 4 = x^2 + x + 1
Step-by-step explanation:
hope this helped!
Find the slope of the line on the graph. Write the answer as a fraction or a whole number, not a mixed number or decimal.
Answers
slope = 3/3 = 1
answer
slope = 1
Find the distance between A and C. Simplify completely.
Answers
A = (1,3)
C = (-4,-4)
-4-1 =-5, -5@ = 25
-4-3 = -7, -7^2 = 49
25+49 = 74
sqrt(74) = 8.602
round answer as needed.
20 POINTS PLUS BRAINLIEST!! PLEASE HELP!
Write the first 4 terms of the sequence if a(4)=36 and a(n)=1/2a(n-1)+12.
A.
36, 30, 27, 25.5
B.
120, 72, 48, 36
C.
456, 216, 96, 36
D.
36, 48, 72, 120
Answers
a(n)=1/2a(n-1)+12.
a(1)= 120
a(2) =1/2 (a1) +12 = 1/2 (120) + 12 = 60+ 12 = 72
a(3) =1/2 (a2) +12 = 1/2 (72) + 12 = 36 12 = 48
a(4) =1/2 (a3) +12 = 1/2 (48) + 12 = 24 + 12 = 36
answer is
B.
120, 72, 48, 36
what is the length of a circle that has a central angle of 98 degrees and 6 cm?
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S = (n/360)(Perimeter)
The variable n is the measure of the central angle that intercepts the arc. In this case, n = 98°. The perimeter of the circle is equal to 2πr. Substituting the values,
S = (98°/360°)(2×π× 6 cm)
S = 10.26 cm
There is also a formula that is easier to remember, but you have to convert degrees to radians. The conversion is 180° = π radians. The formula is
S = rθ
S = (6 cm)(98°)(π/180°)
S = 10.26 cm
Thus, the arc length is 10.26 cm.
Find the value of x for which M//N
A.
38
B.
62
C.
102
D.
150
Answers
I think the answer is B= 62
Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth. leg = 9, leg = 12
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sqrt( 9^2+12^2) = sqrt( 81+144) = sqrt(225) = 15! Voila :)
Find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.
5x5 + 4x4 + x3
5x4 + 4x3 + x2
6x5 + 4x4 + x3
6x4+4x3+x2
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Answer:
A) 5x^5 + 4x^4 + x^3
Step-by-step explanation:
Choose the correct simplification of (4x3 − 3x − 7) + (3x3 + 5x + 3)
Answers
= 4x^3 + 3x^3 - 3x + 5x + 3 - 7
= 7x^3 + 2x - 4
After performing the addition operation on both expressions, the resulting simplified expression is 7x^3+2x-4
Simplification of Algebra ExpressionGiven Data
First expression = (4x3 − 3x − 7) Second expression = (3x3 + 5x + 3)To add both Expression let us open brackets
= (4x3 − 3x − 7) + (3x3 + 5x + 3)
= 4x3 − 3x − 7 + 3x3 + 5x + 3
Collect like terms we have
= 4x^3+3x^3-3x+5x-7+3
= 7x^3+2x-4
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The area of a square garden is 200 m². How long is the diagonal?
100 m
10 sqrt of 2
200 m
20 m
Answers
Since we know that a square has four equal sides, we can find out the sides by taking the square root of the given area, which is 200 m^2.
Now we know that the sides of the square are 10 radical 2. However, the question is asking for the length of the diagonal. We can find out the diagonal of the square by slicing up the square into two triangles by drawing a diagonal from one corner to the other. We know that a square has 4 right angles. And we also know that the triangles are going to be a 45-45-90 degree triangle. Since we already know the side which is 10 radical 2, all we have to do is multiply radical 2 to it which is equal to 10 x 2= 20m
To find the length of the diagonal of a square garden, you can use the Pythagorean theorem. In this case, the length of the diagonal is approximately 14.14 meters.
Explanation:To find the length of the diagonal of a square garden, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the two shorter sides of the right triangle are the sides of the square garden. Let's call each side x. The hypotenuse (the diagonal) will be the side we are trying to find.
Using the Pythagorean theorem, we have: x^2 + x^2 = diagonal^2. Since the area of the square garden is 200 m², we can set up the equation: x^2 + x^2 = 200. Combining like terms, we get: 2x^2 = 200. Dividing both sides by 2, we have x^2 = 100. Taking the square root of both sides, we find that x = 10.
Therefore, each side of the square garden is 10 meters. And using the Pythagorean theorem one more time, we can find the length of the diagonal: diagonal^2 = 10^2 + 10^2. Simplifying, we get diagonal^2 = 200. Taking the square root of both sides, we find that the length of the diagonal is approximately 14.14 meters.
ROUND 977.259856871 TO 3 DECIMAL PLACES HELP!
Answers
3 decimal places would be where the 9 is, since the next number is 8 , the 9 would become a 0 and the number before it (5) would become a 6
so it would be 977.260
The length of a rectangle is 2 cm less than 6 times the width. find the possibilities for the width of the rectangle such that the area is not more than 840 cm2
Answers
To solve this problem, let us first assign the variables. Let us say that:
l = length of rectangle
w= width of rectangle
The given problem gives us the relation that:
l = 6 w – 2 ---> 1
We know that the formula for area of rectangle is given as:
A = l w ---> 2
Substituting equation 1 into 2:
A = (6 w – 2) w
A = 6 w^2 – 2 w
The area must not be greater 840 cm^2, therefore:
840 cm^2 = 6 w^2 – 2 w
w^2 – (1/3) w = 140
By completing the square:
w^2 – (1/3) w + (1/36) = 140 + (1/36)
(w – 1/6)^2 = 5041/36
w – 1/6 = ± 11.83
w = -11.66, 12
Therefore the maximum value that the width can take is 12 cm. Therefore the possibilities of width such that the area does not exceed 840 cm^2 is from 1 to 12 cm.
Answer:
1 cm to 12 cm
Which of the following points is a solution to the system of linear inequalities?
{y ≤ 2x+1 y>1/2x-4
Answer choices:
A.(2, 6)
B.(2, –3)
C.(2, 3)
D.(2, –6)
Answers
How many real solutions are there for the function graphed below?
No Real Solution
1 Real Solution
2 Real Solutions
Infinite Number of Solutions
Answers
A graph is formed by plotting all pairs (x,y), such that y is f(x), for a certain function f.
for example:
Take a look at the graph. (x, y)=(3, 5) is on the graph. This means that f(3)=5 (because f(x)=y)
2.
The real solutions of a function f, are those points x, such that f(x)=0.
in the graph we see no point (x, 0), so there are no real solutions.
Answer: No Real Solution
There are 16 boys in an English class of 28 students. The ratio of boys to the total number of students in this class is typical of the whole school. There are 476 students in the school. About how many are boys?
Answers
The number of the boys in the school is 272.
What is multiplication?Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times or 3 is added 2 times.
Given, the ratio of boys to the total number of students in this class is typical of the whole school.
That means,
16 : 28 = x : 476
where x is the number of boys in the school.
Simplifying,
16/28 = x/476
Using cross multiplication,
x = 16 x 476/ 28
x = 272
Therefore, the number of the boys in the school is 272.
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What is the answer Barbara also works part-time at themepark the radio of the number of hours Barbara works at the park to the money she earns in dollars is 1:9 create a table to show the money earned by Barbara for 5,6,8 hours of work at a theme park
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5 hrs ..(5 * 9) = 45..... 5:45 or 5 to 45 or 5/45
6 hrs...(6 * 9) = 54......6:54 or 6 to 54 or 6/54
8 hrs...(8 * 9) = 72......8:72 or 8 to 72 or 8/72
whats pie as in the math equation help me plus thanks
Answers
some people use 22/7, some use 3.14
it is used in formulas for circles
(05.03)
Identify the initial value and rate of change for the graph shown
Initial value: 1, rate of change: 2
Initial value: 2, rate of change: 1 over 2.
Initial value: 2, rate of change: 1
Initial value: 1 over 2., rate of change: 2
Answers
slope = (3 - 2) / (1 - 0) = 1 <== ur slope (or rate of change)
y = mx + b
slope(m) = 1
(0,2)...x = 0 and y = 2
sub and find b, ur y int...ur initial value
2 = 1(0) + b
2 = b <== ur y int...ur initial value <==
Answer: Initial value: 2, rate of change: 1
Step-by-step explanation:
From the graph we can see the line is intersecting y axis at (0,2).
Therefore, y intercept of the graph = 2
Therefore, the initial value of the graph = 2
Also there as two point from which line is passing (0,2) and (1,3)
The rate of change of the line is given by :-
[tex]R=\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{1-0}=1[/tex]
Hence, for the given graph, the Initial value is 2 and the rate of change is 1 .
15-3 7/8
What is 15 minus 3 and 7 8ths
Answers
Solution of equqation 15 - 3 7/8 is 11 1/8.
To solve 15 - 3 7/8, you need to follow these steps:
Convert the mixed number 3 7/8 to an improper fraction.Subtract this fraction from 15.First, convert 3 7/8 to an improper fraction:
3 7/8 = (3 * 8 + 7) / 8 = 31/8Next, convert 15 to a fraction with a common denominator of 8:
15 = 120/8Now you subtract the improper fraction from the whole number fraction:
120/8 - 31/8 = (120 - 31) / 8 = 89/8Convert the result back to a mixed number:
89/8 = 11 1/8So, 15 minus 3 and 7/8 is 11 1/8.
When 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4. find the number. j. grossman?
Answers
Answer:
its 3
Step-by-step explanation:
The required value of the unknown number x would be 3.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have been given that " 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4".
Let the unknown number be x.
7x - 8 = 3x + 4
To solve the equation;
7x - 8 = 3x + 4
Collect the like terms;
7x - 3x = 8 + 4
4x = 12
Divide by 4 on both sides;
x = 12/4
x = 3
Therefore, the required value of the unknown number x would be 3.
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The price of gold has increased by 35% per year from 2000. In the year 2000, Harry bought a gold ring for $590. Which of the following functions f(x) can be used to represent the price of the ring x years after 2000? f(x) = 590(1.35)x f(x) = 590(0.65)x f(x) = 35(0.41)x f(x) = 35(1.59)x
Answers
35%=35/100=0.35
Since the price of gold has increased by 35% per year so it's growth function which is
F(x) = 590(1.35)^x
brainliest g
A car leaves town traveling 40 mi/h. Two hours later, a second car leaves the same town, on the same road, traveling at 60 mi/h. In how many hours will the second car pass the first car? Use formula d=rt
Answers
1 240 = 40(6)
2 240 =60(4)
First car has a "t" of 6, because the second car traveled two hours later.
Jill has been watching the squirrels that live in her neighborhood. The number of squirrels changes each week.
n f(n)
1 8
2 12
3 18
4 27
Which function best shows the relationship between n and f(n)?
A f(n) = 12(1.5)n
B f(n) = 12(1.5)n−1
C f(n) = 8(1.5)n
D f(n) = 8(1.5)n−1
Answers
Hope This Helps You ^-^
A basketball court is in the shape of a rectangle. It has a length of (x − 7) meters and a width of (x + 3) meters. The expression below represents the area of the court in square meters:
(x − 7)(x + 3)
Which of the following simplified expressions represents the area of the basketball court in square meters?
− 6x + 3
x2 − 21
x2 − 4x − 21
x2 − 7x + 3
Answers
The answer is x² - 4x - 21 or C
The area (A) of the rectangle is:
A = l * w (l - length, w - width)
We have:
l = x - 7
w = x + 3
Therefore:
A = (x - 7)(x + 3)
Now, multiply each factor with another:
A = (x - 7)(x + 3) = x * x + x * 3 - 7 * x - 7 * 3 = x² + 3x - 7x - 21 = x² - 4x - 21
(03.06 MC) Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4.
Answers
Answer:
The equation of the line is
Y= 4X + 11
Step-by-step explanation:
The equation of the line is equall to
(Y- Y1)/(X-X1) = slope
X1 = -3
Y1= -1
Equation is
(Y-(-1))/(X-(-3))=4
(Y+1)/(X+3) = 4
Y+ 1 = 4X + 12
Y= 4X + 11
You deposit $1400 into a savings account that earns simple annual interest. After 12 years, the balance in the account is $2408. What is the annual interest rate?
Answers
A=p (1+rt)
A future value 2408
P present value 1400
R interest rate?
T time 12 years
Solve the formula for r
R= ((A/p)-1)÷t
R=((2,408÷1,400)−1)÷12
R=0.06×100
R=6%
What is the equation of the quadratic graph with a focus of (3, −1) and a directrix of y = 1?
A.) f(x) = −one fourth (x − 3)2 + 1
B.) f(x) = −one fourth (x − 3)2
C.) f(x) = one fourth (x − 3)2 + 1
D.) f(x) = one fourth (x − 3)2
Answers
f(x)=a(x-h)²+k
vetex is (h,k)
and a is te leading coefient
if directix is below the focus, then it opens up and a is positive
if directix is above focus, then it opens down and a is negaitve
vertex is in between directix and focus
so
(3,-1) and y=1
-1<1
so directix is above
a is negative
directly in between
distance from -1 to 1 is 2
2/2=1
1 above (3,-1) is (3,0)
vertex is (3,0)
y=a(x-3)²+0
y=a(x-3)²
the only option with a negative 'a' value is B
answer is B
Jackie walks into a convenience store and recognizes the number of lottery tickets she can purchase varies inversely with the price of each ticket. If Jackie buys $5 tickets, she can purchase exactly 6 tickets. If she buys $3 tickets, what is the maximum number of tickets she can purchase?
Answers
When the y inversely proportioned to x, the equation is
y = k/x where k is a constant
We work out the value of k by using the information y = 6 and x = 5
6 = k/5
k = 30
Hence, the maximum number of tickets when the price is $3 is
y = 30/3
y = 10 tickets
Answer:
Step-by-step explanation:
10
Hello, everyone! I am in high school and I need help with my geometry homework! I will also mark you as the brainliest answer if you answer it clearly!
Answers
A) #3 y = x+3, if you subtract x from y there is a difference of 3 in all of them.
B) #5 y = -x^2, the y value is the negative value of x raised to the 2nd power
C)#6 y = x^2+3, if you raise the value of x to the 2nd power and then add 3 you get the y value
D)#2 y=3x-1, if you multiply the value of x by 3 then subtract 1 you get the y value
Kate, who is 16, is four times as old as her brother. how old will kate be when she is half as old as her brother?