Options
(A) (9,0) (B) (-2,20) (C) (-5,2) (D) (0,-9)
Answer:
(B) (-2,20)
Step-by-step explanation:
Given the objective function, C=3x-4y
The vertex at which C is minimized will be the point (x,y) at which the expression gives the lowest value.
Option A
At (9,0), x=9, y=0
C=3(9)-4(0)=27-0
C=27
Option B
At (-2,20), x=-2, y=20
C=3(-2)-4(20)=-6-80
C=-86
Option C
At (-5,2), x=-5, y=2
C=3(-5)-4(2)=-15-8
C=-23
Option D
At (0,-9), x=0, y=-9
C=3(0)-4(-9)=0+36
C=36
The lowest value of C is -86. This occurs at the vertex (-2,20).
Therefore, the objective function C=3x-4y is minimized at (-2,20).
Find the product of:additive inverse of−5/6, multiplicative inverse of 4/12 and reciprocal of 9/5.
Answer:
25/18
Step-by-step explanation:
Additive inverse of a number X is the number which when is added to X =0
ex: additive inverse of 2 is -2 since 2 +(-2)=0
Multiplicative inverse of a number N is the number which when multiplied by N gives 1
ex: multiplicative inverse of 6/7 is 7/6
6/7*7/6=1
Ex of reciprocal is
5/9 & 9/5
7/6 & 6/7
Additive inverse of -5/6=5/6
Multiplicative inverse of 4/12 is 12/4
Reciprocal of 9/5 is 5/9
(5/6)*(12/4)*(5/9)=25/18
Answer:
(5/6)*(12/4)*(5/9)=25/18
Step-by-step explanation:
Find the area of the shaded polygon
There’s no measurements, use square unit. One square is 1
Answer:
6 Units squared.
Look at file for explanation.
What is the factored form of 125a6-64?
Answer:
(5a^2-4)*(25a^4+20a^2+16)
Step-by-step explanation:
Answer:
Its B, (5a^2-4)(25a^4+20a^2+16)
Step-by-step explanation:
Edge 2020
3. Use two unit multipliers to convert 3000 inches to meters.
Answer:
here, 1m= 39.37 inches
or, 39.37 inches =1m
or, 3000 inches = 3000÷39.37 m
therefore, the measurement in m is 76.20015 m
hope it will help uh..
The snail moved 6 inches in 120 minutes. What was the average speed of the snail in inches per minute?
Answer:
Option A) Speed = 1/20 of an inch per minute
Step-by-step explanation:
Given:
Distance = 6 inches
Time = 120 mins
Required:
Average Speed = ?
Formula:
Average Speed = Total Distance Covered / Total Time Taken
Solution:
Speed = 6/120
Speed = 1/20 of an inch per minute
Answer:
[tex]\frac{1}{20}[/tex] of an Inch per minute
Step-by-step explanation:
Speed = Distance ÷ Time
So....
6 ÷ 120 = 0.05 or [tex]\frac{1}{20}[/tex]
Also by process of elimination
[tex]\frac{1}{2}[/tex] of an inch per min would complete 6 inches in 12 min.
2 inches per min would complete 6 inches in 3 min
20 inches per minute would complete 6 inches in a few seconds.
Simplify: (2 cot(−240°)cos(-1050°)− cot^2(50°)) / (sec^2(40°))
Thanks! (:
Answer:
\frac{2\cot \left(-240^{\circ \:}\right)\cos \left(-1050^{\circ \:}\right)-\cot ^2\left(50^{\circ \:}\right)}{\sec ^2\left(40^{\circ \:}\right)}
Step-by-step explanation:
ok
Write an algebraic expression for the verbal description.
The total cost of producing x units for which the fixed costs are $2500 and the cost per unit is $40
Step-by-step explanation:
45X + 2000 = Y
Where X = Number of units
Y = Total Cost
The total cost of producing x units for which the fixed costs are $2500 and the cost per unit is $40 is T(x) = 40x + 2500.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The total cost of producing x units for which the fixed costs are $2500 and the cost per unit is $40.
Assuming total cost to be T.
∴ T(x) = 40x + 2500.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
PLEASE HURRY
Quadrilateral ABCD is inscribed in OZ such that AB | DC and Find m
Answer:
41°
Step-by-step explanation:
First note that m arc BC = m∠BZC
The reason is because a central angle of a circle is always congruent to its
intercepted arc.
Also m∠BAC is one-half m arc BC, as the measure of an inscribed angle is half the measure of its intercepted arc.
Hence, the calculation is given below:
m∠BZC = 82°
m arc BC = m∠BZC
m arc BC = 82°
m∠BAC = 1/2 × 82°
m∠BAC = 41°
It is important to note that
∠DCA ≅ ∠BAC because alternate interior angles are congruent.
So m∠DCA = m∠BAC.
Therefore, m∠DCA = 41°.
5.
Find a solution to the following system of equations.
-2x + y = -3
- x + 2y = 3
(-21, -9).
(3, 3)
(0, 2)
Answer:
(3,3)
Step-by-step explanation:
I used a graphing tool to graph the two equations. The lines intercept at (3,3). Therefore, (3,3) would be a solution to the system of equations.
An outdoor hockey rink has dimensions of 8m long by 5m wide. The wood
surrounding the rink will allow ice to have a height of 20 cm. Calculate the volume
of ice needed to create this rink.
A glass has the shape of a perfect cylinder with a diameter of 8cm and a height of
13 cm. Calculate the surface area of the glass keeping in mind that the glass has
no lid. please show work and will Mark brainliest
Answer:
First question = 800 cm^3
Second question =120π
Step-by-step explanation:
The formula for volume is base x height x width.
The formula for area of cylinder is 2πrh+2πr^2 but it has no lid so
2πrh+πr^2.
Help!!!! YOU WILL BE REWARDED WITH BRAINLIEST AND 15 POINTS! HELP ASAP LOOK AT MY FILES THAT I UPLOADED
Answer:
The second box plot best represents the data
PLEASE HELP WITH THIS I WILL MARK EVERYONE THAT ANSWERS BRAINLY
Answer:
125.6 cubed inches
Step-by-step explanation:
1. 3.14(2)^2(10) - Multiply 3.14 with 2 squared and 10.
2. First find out what is 2 squared, which is 4. Then, multiply 4 with 3.14, which is 12.56.
3. Now, multiply 12.56 with 10 or just move the decimal point one place to the right, which gives you 125.6 cubed inches.
NEED HELP ASAPPP!!! Drag each scenario to show whether the final result will be greater than the original
value, less than the original value, or the same as the original value.
1. A $30 increase followed by a $30 decrease
2. A 20% decrease followed by a 40% increase
3. A 100% increase followed by a 50% decrease
4. A 75% increase followed by a 33% decrease
5. 55% decrease followed by a 25% increase
Answer:
Greater than the original = 2, 4
Less than the original = 5
Same as the original = 1, 3
Step-by-step explanation:
Let the original value be x.
1. A $30 increase followed by a $30 decrease.
New value [tex]=x+30-30=x[/tex], it is same as original value.
2. A 20% decrease followed by a 40% increase.
Afer 20% decrease.
New value [tex]=x-\dfrac{20}{100}x=x-0.2x=0.8x[/tex]
Afer 40% increase.
New value [tex]=0.8x+\dfrac{40}{100}(0.8x)=0.8x+0.32x=1.12x[/tex], it is greater than original value.
Similarly check the other values.
3. A 100% increase followed by a 50% decrease.
New value [tex]=x+\dfrac{100}{100}x-\dfrac{50}{100}(x+x)=x[/tex], it is same as original value.
4. A 75% increase followed by a 33% decrease
New value [tex]=x+\dfrac{75}{100}x-\dfrac{33}{100}(x+0.75x)=1.1725x[/tex], it is greater than the original value.
5. 55% decrease followed by a 25% increase
New value [tex]=x-\dfrac{55}{100}x+\dfrac{25}{100}(x-0.55x)=0.5625x[/tex], it is less than the original value.
Therefore, Greater than the original = 2, 4, Less than the original = 5, Same as the original = 1, 3 .
A 100% increase followed by a 50% decrease
A $30 increase followed by a $30 decrease
Less Than The Original:55% decrease followed by a 25% increase
Greater Than The Original:A 20% decrease followed by a 40% increase
A 75% increase followed by a 33 1/3% decrease
The perimeter of the rectangle below is 74 units. Find the length of side RS
Write your answer without variables.
Answer:
20 units
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w)
P = 2( 3x+2 + 4x)
Adding like terms
P = 2( 7x+2)
We know the perimeter is 74 units
74 = 2 ( 7x+2)
Divide by 2
74/2 = 2/2 (7x+2)
37 = 7x+2
Subtract 2 from each side
37-2 = 7x+2-2
35 = 7x
Divide by 7
35/7 = 7x/7
5 =x
We want to find the length RS = PQ = 4x
RS = 4x = 4*5 = 20
PRE CALC HELP PLEASE
Answer:
True.
Step-by-step explanation:
The function is indeed a polynomial. We have the single variable [tex]x[/tex] plus a constant [tex]\pi[/tex] (it's irrational, but it's still simply just a constant number). This fits the definition of polynomials.
3+(x)(4x)-2x
What is the degree of this polynomial and the simplified form written
in descending order?
*PLEASE ANSWER PLS N TY *
Which statement(s) are true about inscribed angles? Statement 1: The vertex of an inscribed angle lies on the circle. Statement 2: The sides of an inscribed angle are tangent lines to the circle. Statement 3: The sides of an inscribed angle are chords of a circle. Statement 4: The vertex of an inscribed angle lies outside a circle.
a.) 4 only
b.) 1 only
c.) 1 & 3 only
d.) 2 & 4 only
Answer:
1 & 3 only
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
the equation of the line in slope-intercept form is;
[tex]y=8x-26[/tex]
Step-by-step explanation:
First use the formula for the slope of the segment that joins the two given points:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{6-(-2)}{4-3}=\frac{8}{1} =8[/tex]
now that we have the slope, we can use the point-slope form of a line to find the line with slope 8 that passes through any of the given points, for example through (3, -2):
[tex]y-y_0=m\,(x-x_0)\\y-(-2)=8\,(x-3)\\y+2=8\,(x-3)\\y=8x-24-2\\y=8x-26[/tex]
Suppose you pick and replace marbles from a bag, one after another. If the bag
contains 3 red marbles, 3 white marbles, and 6 blue marbles, what is the probability of
picking a red marble and then a blue marble?
Answer:
1/8
Step-by-step explanation:
There are 3 + 3 + 6 = 12 marbles in the bag and 12 * 12 = 144 ways to choose two marbles when replacing. There are 3 * 6 = 18 ways to choose a red marble and then a blue marble so the probability is 18 / 144 = 1 / 8.
PLEASE HELPPP. Or explain what the question is even asking im so confused.
Step-by-step explanation:
f(x) = y
so f(4.999) = -5 when x = 4.999
f(5)= undefined because open circles means > or < with out the line underneath that means equal to
f(5.0001)= 7 when x=5.0001
f(9)= 7 when x=9 because the closed circle means ≥ or ≤ or equal to
Answer:
see attached
The function in the graph is:f(x)= -6, when x= [-9, 2)f(x)= -5, when x= [2, 5)f(x)= 7, when x= (5, 9]Therefore,f(4.999)= -5, f(5)= undefined,f(5, 0001)= 7,f(9)= 7D
32°
A
C
B
mZB = [?]
Enter the number that belongs in
the green box
Enter
Answer:
m∠B = 107°
Step-by-step explanation:
Since we know that all angles in a triangle add up to 180°, we have
m∠D = 180 - (32 + 41) = 107°
Since we also know by the given picture that both triangles are congruent, we know that the m∠D is equal to m∠B, so m∠B = 107°
plz help!!
will give the brainliest!!
Answer:
x = 3
Inverse matrix:
[tex]A^{-1} = \begin{pmatrix} \frac{1}{9} & \frac{2}{9} \\ \frac{1}{3} & -\frac{1}{3} \end{pmatrix} \quad[/tex]
Step-by-step explanation:
Determinant: ad - bc
a = 3, b = 2, c = 3, d = -1
3 * (-1) - (2 * x) = -9
-3 - 2x = -9
-2x = -6
x = 3
For matrix
[tex]A = \begin{pmatrix}a & b\\c & d\end{pmatrix} \quad[/tex]
the inverse is
[tex]A^{-1} = \dfrac{1}{ad - bc}\begin{pmatrix}d & -b \\-c & a\end{pmatrix}\quad[/tex]
Here we have: det = -9
a = 3, b = 2, c = 3, d = -1
Inverse matrix:
[tex]A^{-1} = \dfrac{1}{-9}\begin{pmatrix} -1 & -2 \\ -3 & 3 \end{pmatrix}\quad[/tex]
[tex]A^{-1} = \begin{pmatrix} \frac{-1}{-9} & \frac{-2}{-9} \\\frac{-3}{-9} & \frac{3}{-9}\end{pmatrix} \quad[/tex]
[tex]A^{-1} = \begin{pmatrix} \frac{1}{9} & \frac{2}{9} \\\frac{1}{3} & -\frac{1}{3}\end{pmatrix}\quad[/tex]
Determine the approximate area of a sector with a central angle of 75° and a radius of 14 yards. Question 16 options: A) 9.2 yards2 B) 128.3 yards2 C) 40.8 yards2 D) 0.21 yards2
Answer:
B) 128.3 square yards
Step-by-step explanation:
A = (n/360 deg)(pi)r^2
where n = central angle of sector.
A = (75/360)(3.14159)(14 yd)^2
A = 128.3 yd^2
Answer:
B. 128.3 yards
Step-by-step explanation:
Area of a Sector Formula: A = ∅/360πr²
Simply plug in our variables:
A = 75/360(π)(14)²
A = 5π/24(196
A = 128.3
help! Analyze the diagram below and complete the instructions that follow.
Answer:
a= 4[tex]\sqrt{6}[/tex]
b= 8[tex]\sqrt{2}[/tex]
c= 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
45-45-90 triangle
x - x - [tex]\sqrt{2}[/tex]
30-60-90 triangle
x - 2x - x[tex]\sqrt{3}[/tex]
Evaluate the following when a=2 b=-3 and c=4:
5a -b2 +2c(a-b)
Select one:
a. 41
O b.-41
O c. 135
O d. 270
Answer:
A. 41
Step-by-step explanation:
5a - b² + 2c(a-b)
Put a = 2, b = -3, and c = 4.
5(2) - (-3)² + 2(4)(2-(-3))
Evaluate.
10 - 9 + 2(4)(2+3)
10 - 9 + 8(5)
10 - 9 + 40
1 + 40
= 41
Answer:
[tex]41[/tex]
Step-by-step explanation:
Given that,
[tex]a = 2 \\ b = - 3 \\ c = 4[/tex]
Let's solve now,
[tex]5a - {b}^{2} + 2c(a - b) \\ 5 \times 2 - ( { - 3}^{2} ) + 2 \times 4(2 - ( - 3)) \\ 10 - ( - 3 \times - 3) + 8(2 + 3) \\ 10 - 9 + 8 \times 5 \\ 10 - 9 + 40 \\ 1 + 40 \\ = 41[/tex]
Jared and Malia will usually both run 3 miles each time they go running. This month, Jared ran an additional 21 miles. Which answer choice shows an expression that represents the total distance Jared and Malia ran this month if j = the number of times that Jared ran and m = the number of times that Malia ran? a-3j + 3m + 24 b-24j + 24m c-(3j) + (3m + 21) d-6(j + m) + 21
Answer: 45
Step-by-step explanation:
Answer:
(3j) + (3m + 21)
Step-by-step explanation:
The points in a plane in a fixed distance from a given point
is called a circle. What is the fixed distance called?
a. chord
b. radius
c. diameter
d. not given
Answer:
radius
Step-by-step explanation:
That "fixed distance" is the 'radius' of the circle.
Find the missing side lengths. Leave your answers as radicals in simplest form.
ANSWER QUICK
Answer:
C
Step-by-step explanation:
It is an iscoceles triangle because there are 180 degrees in a triangle and the right angle plus the 45 degree equals 135 and 180 minus 135 is 45.
Since it is an iscoceles triangle that means that n = 3 and the pythagorean theorom says that a^2 + b^2 = c^2 which means that m = 3^2 plus 3^2 with a root.
3^2 is 9 so you get 18
the root of 18 is infinite, however can be simplified to 3 root to 2 because 3 times 3 equals 9 times 2 equals a root of 18
Hope this helps!
What are the zeros of f(x) = x2 + x - 30?
O A. x= -6 and x = 5
B. x= -2 and x= 15
o
C. x= -5 and x = 6
D. x= -15 and x = 2
SS
Answer:
A
Step-by-step explanation:
The zeroes of the function are the x values when f(x) = 0 so we can write:
0 = x² + x - 30
0 = (x + 6)(x - 5) (To factor this we need to find 2 numbers that have a sum of 1 and a product of -30; these numbers are 6 and -5)
x + 6 = 0 or x - 5 = 0 (Use Zero Product Property)
x = -6, 5
Hey there! :)
Answer:
A. x = -6 and x = 5.
Step-by-step explanation:
Given:
f(x) = x² + x - 30
Factor the equation by finding two numbers that sum up to 1 and multiply into -30. We get:
-5, 6
Use these to express this quadratic function in factored form:
f(x) = (x - 5) (x + 6)
Set each factor equal to 0 to solve for the zeros of the equation:
0 = x - 5
x = 5
-------------
0 = x + 6
x = -6
Therefore, the correct answer is A. x = -6 and x = 5.
Compare the two functions. [tex]f(x) = \frac{1}{50} (3)^x[/tex] [tex]g(x) = \frac{1}{5} x^{2}[/tex] Which statement is true?
Answer:
As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
Step-by-step explanation:
Hope this helps :)