Additive inverse and multiplicative inverse are mathematics function which creates net impact of an equation as zero.
The correct names are matched with their respective properties.
A. 7. 8 + [-8] = 0
B. 9. 5 * [1/5] = 0
C. 4. a + 5b = 5b + a
D. 2. [pq] * 1 = pq
E. 6. gh - hg
F. 3. [5x] y-5 [xy]
G. 10. 2 [a + b] = 2a * 2b
I. 5. a + 0 = a
J. 8. x* 0 = 0
Additive inverse property is when the net result from addition is zero.
Multiplicative inverse property is the equation which gives answer zero when two variables are multiplied.
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The lines shown below are perpendioular. If the green line has a slope of
-2/3 what is the slope of the red line PLEASE HELP ASAP
Answer:
C)3/2
Step-by-step explanation:
Perpendicular lines have a negative reciprocal slopes.
Therefore C)3/2
A hot air balloon is released into the air. During its straight ascent, the angle of elevation was 15° and, 3 minutes later, the angle of elevation increased 20°. How fast is the balloon traveling, in km/h, if the angle measurements were taken 300m away from the launch site?
Answer:
The speed of balloon is 0.16 m/s.
Step-by-step explanation:
BC = 300 m
AD = x
AB = y
time, t = 3 min = 3 x 60 = 180 s
By the triangle, ADC,
[tex]tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m[/tex]
By the triangle, BDC
[tex]tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m[/tex]
So, y = 109.2 - 80.4 = 28.8 m
Speed of balloon = 28.8/180 = 0.16 m/s
Find the exact value of the indicated trigonometric function for the acute angle a:
Given: sin a=5/13, Find: cos a and tan a
Answer:
cos a = 12/13
tan a = 5/12
You use these properties to solve the question,
sin²a+cos²a=1
tana=sina/cosa
A faraway planet is populated by creatures called Jolos. All Jolos are either
green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 140
contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75
one-headed Jolos.
One-headed Two-headed Total
Green 30
Purple
45
Total
75
140
How many green Jolos are there in Balan's colony?
Answer:
30 green jolos
Step-by-step explanation:
in the problem itself it states this "Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jolos.".
There are green Jolos are there in Balan's colony are 30 green jolos.
We have given that,
A faraway planet is populated by creatures called Jolos. All Jolos are either green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 140.
What is the probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75 one-headed Jolos.One-headed Two-headed Total
Green Purple
30 45
Total 75 140
In the problem itself, states this Balan, who lives on this planet, does a survey and finds that her colony of 140 contains 30 green, one-headed Jolos 45 purple, two-headed Jolos; and 75 one-headed Jools.
Therefore there are green Jolos are there in Balan's colony are 30 green jolos.
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Not quite sure how to solve
Simplify the expression.
StartFraction negative 44.288 minus 31.6 over negative 3.1 (6 minus 1.2) EndFraction
–5.1
–4.21
3.42
5.1
Answer:
5.1
Step-by-step explanation:
ik i am in the future
Anyone any good at math?
Is the relationship shown by the data linear? If so, model the data with an equation
Answer:
yes the x increases by 6 and the y decreases by 3.
y = -1/2x - 7/2
Step-by-step explanation:
find the slope :
(1,-4), (7, -7)
y2- y1 / x2 - x1
substitute those numbers and you get -1/2.
point slope form :
y - y1 = m(x- x1)
y - (-4) = -1/2 ( x - (1))
y+4 = -1/2(x-1)
slope intercept form :
y = -1/2x - 7/2
does this help ?
Resolve the expression [tex]\frac{(x-2)}{(x^{2} +1)(x-1)^{2} }[/tex] into the simplest partial fractions
The partial fraction expansion will look like
(x - 2)/((x ² + 1) (x - 1)²) = (ax + b)/(x ² + 1) + c/(x - 1) + d/(x - 1)²
Get everything in terms of a common denominator, and compare the numerators on both sides:
x - 2 = (ax + b) (x - 1)² + c (x ² + 1) (x - 1) + d (x ² + 1)
Expand the right side:
x - 2 = (ax + b) (x - 1)² + c (x ² + 1) (x - 1) + d (x ² + 1)
x - 2 = (a + c) x ³ + (-2a + b - c + d) x ² + (a - 2b + c) x + b - c + d
Match up the coefficients and solve the resulting system of equations:
a + c = 0
-2a + b - c + d = 0
a - 2b + c = 1
b - c + d = -2
==> a = -1, b = -1/2, c = 1, d = -1/2
So the expansion into partial fractions is
(x - 2)/((x ² + 1) (x - 1)²) = (-x - 1/2)/(x ² + 1) + 1/(x - 1) - 1/(2 (x - 1)²)
… = -(2x + 1)/(2 (x ² + 1)) + 1/(x - 1) - 1/(2 (x - 1)²)
A cab company charges $0.25 per 1 mile as well as a flat fee of $2.25 just for taking a ride in the
cab. If this scenario is represented as a function, what would the y-intercept be?
Answer:
y - intercept = 2.25
Step-by-step explanation:
y = mx + c
Where,
y = Total cost
x = additional cost
m = slope
c = y - intercept
y = 0.25x + 2.25
Relating with the above equation,
y - intercept = 2.25
Slope, m = 0.25
Thomas needs to buy a cardboard sheet that will allow him to make his 224 in 3 box. To help construct the box, he decided to cut out 2 inch squares from both the lengths and widths. Given that the length will need to be 6 inches longer than the width create an equation for the volume of the box, find the zeroes, the dimensions of the box, and graph the function.
Answer:
Part 1; The volume of the box Thomas wants to make is 224 = 2·w² + 12·w
Part 2; The zeros for the equation of the function, are w = -14, or w = 8
Part 3
The width of the box is 8 inch
The length of the box, is 14 inches
The height of the box, is given as 2 inches
Part 4
Please find attached the graph of the function
Step-by-step explanation:
Part 1
The volume of the box Thomas wants to make, V = 224 in.³
The dimensions he cuts out from the length and width = 2 in² each
The length of the box = 6 inches + The width of the box
Let l represent the length of the box and let w represent the width of the box, we have;
l = 6 + w
The height of the box, h = The length of the cut out square = 2 inches
The volume of the box, V = Length, l × Width, w × Height, h
∴ V = l × w × h
l = 6 + w, h = 2
∴ V = (6 + w) × w × 2
V = 2·w² + 12·w,
The equation of the volume of the box, V = 2·w² + 12·w, where, V = 224
∴ 224 = 2·w² + 12·w
Part 2
The zeros of the equation for the volume of the box, V = 2·w² + 12·w, where, V = 224 are found as follows;
V = 224 = 2·w² + 12·w
∴ 2·w² + 12·w - 224 = 0
Dividing by 2 gives;
(2·w² + 12·w - 224)/2 = w² + 6·w - 112 = 0
∴ (w + 14) × (w - 8) = 0
The zeros for the equation of the function, are w = -14, or w = 8
Part 3
We reject the value, w = -14, therefore, the width of the box, w = 8 inch
The length of the box, l = 6 + w
∴ l = 6 + 8 = 14
The length of the box, l = 8 inches
The height of the box, h, is given as h = 2 inches
Part 4
The graph of the function created with MS Excel is attached
Last year 160 new candidates submitted applications to work for an agency. This year, that number is on target to increase by 25%. There are 6 months left in the year. How many new applications has the agency received so far this year?
Answer:100
Step-by-step explanation:
Given
Last year 160 new candidates submitted to work for agency
It is expected to increase by 25% that is , increase in one year should be
[tex]\Rightarrow 160+160\times 25\%\\\Rightarrow 160(1+0.25)\\\Rightarrow 160\times 1.25\\\Rightarrow 200[/tex]
200 application in the upcoming year. So, in 6 months, agency must have accepted 100 applications.
The length of a rectangle is 9 inches more than half the width. Find the length if the perimeter is 60 inches.
Answer:
Length = 10.435 inches
Step-by-step explanation:
Let the length be l
Let the width be w
Since the length is 9 inches more than half the width.
Then;
L = 0.5w + 9
Perimeter of a rectangle is;
P = 2Lw
Thus;
P = 2w(0.5w + 9)
Since perimeter = 60
Then;
2w(0.5w + 9) = 60
w² + 18w = 60
w² + 18w - 60 = 0
From quadratic formula;
w ≈ 2.87 in
L = 0.5(2.87) + 9
L = 10.435 in
x3 + (y +z) factorize
what is the lcm of two numbers if one number is a multiple of the other
If one number is the multiple of another number, then the L.C.M. will be the smaller number (the number whose multiple the other number is).
Solve, using the substitution method.
y = 3x + 5
4x – y = 5
10, 35)
(15, 10)
There are an infinite number of solutions.
There is no solution.
Answer:
the answer is (10,35)
Step-by-step explanation:
i took the quiz and im 100% sure
ty have a great day :)
PLEASE HELP!!
BRAINLYEST TOO 1st
9514 1404 393
Answer:
A, C
Step-by-step explanation:
Any table with no repeated x-values is a relation that is a function.
I NEED HELP ASAP
i will award brainlyest
or however you spell it
Answer:
f(x) + 2 is it I am not sure but do not lie
Answer:
I think it's D or C, but am leaning towards D. Don't take my word for it though.
Step-by-step explanation:
f(x-2)
(Do not use my answer though as I am not completely sure since the parent function f(x) might be looking for a certain location where the plus-minus 2 is.)
My reasoning is that I went to a graphing calculator and the first two choices are incorrect where it is something like f(x) + 2 or - 2.
The graph is lower than the parent function meaning it probably involves a negative or positive since the graph is much steeper.
√25x+75 +3√x-2 =2+4√x-3 +√9x-18
Answer:
Step-by-step explanation:
[tex]\large \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b} }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2} \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\ \ \ \ let \ \ t=x+3 \ \ ; \ \ \ t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\[/tex] [tex]\large \boldsymbol{} 25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D<0 \ \ no \ \ solutions[/tex]
Which models best illustrates the inequality and its graph?
t< 55
a.) t is at least 55
b.) t is less than 55
c.) t is 55 or more
d.) t is at most 55
Answer:
B
Step-by-step explanation:
Open circle means the number is not included.
Hope this helps <3
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
B
Step-by-step explanation:
2 units to the right -> -2 in the brackets next to x
4 units down -> -4 as a constant at the end of the equation
The perimeter of a rectangular park is 200 feet. The length of the park is 40 feet longer than the width.Find the length of the park.
What is the length of the park?
feet?
[tex] \green{ \boxed{\sf \: length \: \: = 70 \: \: feet}}[/tex]
Step-by-step explanation:
Let assume that,
Wide = xSo,
length = x + 40Given,
perimeter = 200 feet
We know that,
Perimeter = 2(length + wide)
So,
[tex]200 = 2(x + 40 + x) \\ = > \frac{200}{2} = 2x + 40 \\ = > 2x + 40 = 100 \\ = > 2x = 100 - 40 = 60 \\ = > x = \frac{60}{2} \\ = > x = 30 \: feet[/tex]
So length = x + 40 = 30 + 40 = 70 feet
pls help meee lookat the screenshot
The diagram shows that the total number of buttons with ¾ inch length is 3.
So, if she lines all the ¾ inches buttons, then the total length will be
= ¾ inches × 3
= 9/4 inches
= 2 ¼ inches
Multiply 3/4 by 3
3/4 * 3/1
3/4 * 12/4 = 36/16
36/16 = 9/4
Answer: 2 1/4
Two friends are writing practice problems to study for a trigonometry test. Sam writes the following problem for his friend Anna to solve:
In right triangle ABC, the measure of angle C is 90 degrees, and the length of side c is 8 inches.
Solve the triangle.
Anna tells Sam that the triangle cannot be solved. Sam says that she is wrong.
Who is right? Explain your thinking
Answer:
Anna is right in her meaning concerning on triangle solvability.
Step-by-step explanation:
The side [tex]c[/tex] represents the hypotenuse of a right triangle as [tex]C = 90^{\circ}[/tex] and is opposite to that angle. There are two ways to solve this triangle trigonometrically:
i) Law of Sine
[tex]\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}[/tex] (1)
ii) Law of Cosine
[tex]c^{2} = a^{2} + b^{2} - 2\cdot a\cdot b \cdot \cos C[/tex] (2)
The Pythagorean Theorem is a particular case of the Law of Cosine for [tex]C = 90^{\circ}[/tex]
The triangle cannot be solved as there is an input missing, either another side or another angle. If [tex]C = 90^{\circ}[/tex], then (2) is reduced into this form:
[tex]c^{2} = a^{2}+b^{2}[/tex] (2b)
In this case we need to know the measure of either [tex]a[/tex] or [tex]b[/tex] to determine its counterpart and the values of the missing angles by (1). In nutshell, Anna is right.
Check if -2 is the solution of equation 2 – x = 4x + 3
Answer:
7x the answer i think
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf -2 \ is \ not \ a \ solution}}[/tex]
Step-by-step explanation:
We are asked to check is -2 is the solution of the following equation.
[tex]2-x= 4x+3[/tex]
We must substitute -2 in for x and solve both sides of the equation. If the two sides are equal, then -2 is the solution.
[tex]2- (-2) = 4(-2)+3[/tex]
Solve both sides of the equation according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Let's start with the left side.
[tex]2+2= 4(-2)+3 \\[/tex]
[tex]4= 4(-2)+3[/tex]
Now solve the right side. Remember to multiply first.
[tex]4= -8+3[/tex]
[tex]4= -5[/tex]
[tex]4\neq -5[/tex]
4 is not equal to -5, so -2 is not the solution for this equation.
If mAngleVUW = (4x + 6)° and mAngleWUT = (6x – 10)°, what is the measure of AngleWUT?
Answer:
2 is the answer........
Answer:
the answer is 38 degrees
Step-by-step explanation:
just took test on ed
Kendra is also buying souvenirs for the family reunion. She wants to spend under $2.25 for each item. Which souvenirs cost less than $2.25 per item?
Answer:
Tote bag ; Picture Frame ; Mug
Step-by-step explanation:
Given the following souvenir list :
tote bags: 25 for $49.00
picture frames: 15 for $32.25
water bottles: 12 for $27.60
mugs: 8 for $15.92
T-shirts: 10 for $25.00
To determine the cost per item in the sourvenir :
Divide the cost of sourvenir by the number of items in each sourvenir ;
Tote bag = $49.00 / 25 = $1.96
picture frames = $32.25 / 15 = $2.15
water bottles = $27.60 / 12 = $2.30
mugs = $15.92 / 8 = $1.99
T-shirts = $25.00 / 10 = $2.50
Hence, souvenirs which costs less than 2.25 per item are :
Tote bag ; Picture Frame ; Mug
Please help me fill in those couple blanks I’m really struggling
y = x^2 - 8x + 3
y - 3 = x^2 - 8x + 3 - 3
y - 3 = x^2 - 8x + ___
c = (8/2)^2 = 16
y - 3 + 16 = x^2 - 8x + 16
y + 13 = (x - 4)^2
y + 13 - 13 = (x - 4)^2 - 13
y = (x - 4)^2 - 13
Vertex: (4, -13)
Hope this helps!
Professor Goodheart has two exams, exam 1 and exam 2. The exam 1 weights 40% and the exam 2 weights 60% of the final grades. Put the grades on the exam 1 on the horizontal axis and the grade on the exam w on the vertical axis. What kind of preference a student should have for these two grades
Answer:
Imperfect substitutes
explanation:
The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.
Find the sun of the interior angles for each polygon
Answer:
360
1080
Step-by-step explanation:
We can find the sum of the interior angles of any regular polygon by using this formula
(n - 2) * 180
where n = number of sides
For the square: the square has 4 sides
To find the sum of the interior angles we simply substitute 4 for n in the formula
Formula: (n - 2) * 180
Substitute 4 for n
(4 - 2 ) * 180
Subtract 4-2
2 * 180
Multiply
= 360
The sum of the interior angles of the first polygon is 360
For the second one:
We will repeat this exact process the only difference is the value of "n"
The polygon shown has 8 sides
So to find the sum of the interior angles we simply substitute 8 for n in The formula
Formula (n - 2) * 180
Substitute 8 for n
(8 - 2) * 180
Subtract 8 - 2
6 * 180
Multiply
= 1080
The interior angles of a 8 sided figure will add up to 1080
solve for x on the diagram below
Answer:
20 is the answer
Step-by-step explanation:
x+3x+10=90(right angle triangle)
4x=90-10
x=80/4
x=20°
Answer:
x = 20
Step-by-step explanation:
Based on the square indication at the corner of the angle, we can assume it's a right angle, so 90°. This means that x + 3x + 10 = 90. Solve it like any algebraic equation, isolating x. add x to 3x + 10, this would net you 4x + 10 = 90. Subtract 10 on both sides of the equation to further isolate x, meaning 4x = 80. Simplify this, dividing 4 on both sides, meaning x = 20.
