Answer:
x = 4 , − 6
Step-by-step explanation:
Answer:
x=4,-6
Step-by-step explanation:
Add 24 to both sides.
x2+2x=24
Plug in 4
4^2+2(4)=24
Solve
16+8=24
24=24
Add 24 to both sides.
x^2+2x=24
Plug in -6
-6^2+2(-6)=24
Solve
36-12=24
24=24
A district manager has 8 different stores. He wants to reward some of his
employees by giving them a position as a manager in one of these stores. If he
has 5 qualified employees, how many ways can this be done?
Answer:
Please explain the question more.... but he can have 5 managers at 5 stores while he looks for other qualified individuals or manages the others himself.
Step-by-step explanation:
The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest
Answer:
C. 40 cm
Step-by-step explanation:
length of side of square = s
perimeter = s + s + s + s = 4s
We use the formula P = 4s
P = 4 * 10 cm
P = 40 cm
Answer: The perimeter is 40 cm.
Notice that the perimeter is a sum of lengths, so its units are linear units such as cm, inches, feet, a unit of length.
An area has square units such as cm^2, in.^2, ft^2, etc.
Answer:
Hey !! Side of square = 10 cm. Therefore, Perimeter of square = 4 × ( Side ) = 4 × 10 = 40 cm
I holpe it helps pleas mark me
Step-by-step explanation:
Find the value of the trigonometric ratio, cos L.
Answer:
b/h
Step-by-step explanation:
remember SOH CAH TOA. Sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. So in this case use CAH for cos L. Adjacent to L is b, and the hypotenuse is h. Therefore the answer is b/h.
sin law or cos law?!!!!!!!!!!!!!
Answer:
Law of Sines
Step-by-step explanation:
Law of Sines: [tex]\frac{A}{sina} =\frac{B}{sinb} =\frac{C}{sinc}[/tex]
Step 1: Solve for m∠B
[tex]\frac{25}{sin36} =\frac{27}{sinx}[/tex]
25sinx = 27sin36°
sinx = 27sin36°/25
[tex]x = sin^{-1}(\frac{27sin36}{25} )[/tex]
m∠B ≈ 39.4°
Step 3: Find m∠C
180 - (36 + 39.4)
180 - 75.4
m∠C = 104.6°
Jerry's motorcycle tank holds 6gallons of gas. There are 3 gallons of gas currently in the tank. How much more gasoline will
it take to fill the tank? (Simplify your answer and write it as a mixed numner
Answer:
It takes 3 more gallons to fill the tank.
Step-by-step explanation:
6-3=3
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −3x2 − 5x + 9 = 0 a = 5, b = 9, c = 0 a = 3, b = 5, c = 9 a = −3, b = −5, c = 9 a = −5, b = 9, c = 0
Answer:
a = -3 b = -5 and c = 9
Step-by-step explanation:
−3x^2 − 5x + 9 = 0
The quadratic function is written as
ax^2 + bx+c =0
So a = -3 b = -5 and c = 9
Answer:
a = -3, b = -5 and c = 9
Step-by-step explanation:
Given Quadratic Equation is:
=> [tex]-3x^2-5x+9[/tex]
Comparing it with standard form of quadratic equation [tex]ax^2+bx+c[/tex], we get
=> a = -3, b = -5 and c = 9
Which of the following represents fourth root of x cubed in exponential form? (6 points) x to the four thirds power 3x4 x to the three fourths power 4x3
Answer:
x 3/4
Step-by-step explanation:
Susan saw birds and mice eating seeds on the ground. She counted 14 heads and 40 legs in total. How many birds and mice are on the ground?
Answer:
Number of mice = 6
Number of birds = 8
Step-by-step explanation:
Given:
Total number of heads = 14
Total number of legs = 40
Find:
Number of birds
Number of mice
Computation:
Assume,
Number of birds = x
Number of mice = y
So,
x + y = 14
x = 14 - y.............Eq1
We know that mice have 4 legs and birds have 2
So,
2x + 4y = 40
x + 2y = 20............Eq2
From Eq1 and Eq2
14 - y + 2y = 20
y = 6
Number of mice = 6
x = 14 - y
x = 8
Number of birds = 8
Please help? It's worth 16 points!!!!
Answer:
I’m not too sure what your question is exactly but if your just trying to graph the two equations I can help u with that (:
Step-by-step explanation:
The first thing you should do is change the second equation to slope intercept form. It is much easier for most people. From there write out your table by choosing a number for x then plugging that number into the equation to find y. For the first equation (y=1/3x+2) it’s always easier to use multiple of three for the number of x. For example, if 3 was my number for x I would multiply 1/3 by 3=1 then simply add 2=3. So the coordinates for one point on that table would be 3,3. You continue to do that for each graph then plot your points. (In my graph, purple is the equation y+9=-9/3x-9 and black equals the equation y=1/3x+2
Answer:
(-6, 4)
Step-by-step explanation:
y= -1/3x+2
y+4= -4/3x ⇒ y= -4/3x-4
Comparing the 2 equations, we get:
-1/3x+2= -4/3x-44/3x - 1/3x= -4-2x= -6y= -1/3*(-6)+2=2+2=4So the solution is point (-6, 4)
20. There were sold 200 books and magazines. Ono book costs $15 and oach magazino costs
$5: they spent $1500 in total. How many books and how many magazines wero sold?
Answer:
Books = 50
Magazines = 150
Step-by-step explanation:
b + m = 200
b = 200 - m..................(1)
15b + 5m = 1500
Substituting,
15(200-m) + 5m = 1500
3000 - 15m + 5m = 1500
-10m = 1500 - 3000
m = 1500 / 10 = 150
b = 200 - 150 = 50
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b
Answer:
The correct option is;
1560 = 30(52) + b
Step-by-step explanation:
The cost of the first job = $1,200 in labor and expenses
The number of hours worked in the first job = 40
The second job costs $1,560 in labor and expenses
The number of hours worked in the second job = 52
If the cost of labor per hour = L and the expenses = b, we have;
$1,200 = 40×L + b......................(1)
$1,560 = 52×L + b.......................(2)
Subtracting equation (1) from (2), we have;
52×L + b - (40×L + b) = 52×L - 40×L + b - b = $1,560 - $1,200 = $360
12×L = $360
L = $360/12 = $30/hour
From equation (1), we have;
$1,200 = 40×L + X = 40×$30 + b
Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;
1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b
please help Select the correct answer. Find the inverse of function f. F(x) = 9x-7
Answer:
f-1(x)=(x+7)/9
Step-by-step explanation:
Try going at the problem backwards. The function first multiplies x by 9 then subtracts 7, so the opposite route for the inverse. Add 7 to x and then divide everything by 9
Question:
Find the inverse of function f. F(x) = 9x-7
Answer:
D. F-1(x)= 1/9x-7/9
Beth is knitting mittens and gloves. Each pair must be processed on three machines. Each pair of mittens requires 2 minutes on Machine A, 2 minutes on Machine B, and 4 minutes on Machine C. Each pair of gloves requires 4 minutes on Machine A, 2 minutes on Machine B, and 1 minute on Machine C. Machine A, B, and C are available 32, 18, and 24 minutes, respectively, everyday. The profit on a pair of mittens is $8.00 and on a pair of gloves is $10.00.
Answer:
Two mittens and seven gloves
Step-by-step explanation:
I presume you are asking how many mittens and how many gloves Beth should knit to produce the most profit.
Let x = the number of mittens and
Let y = the number of gloves
1. Summarize the information in a table
[tex]\begin{array}{cccc}&\textbf{Mittens}& \textbf{ Gloves} & \textbf{Minutes Available}\\\text{Machine A} & 2 & 4 & 32\\\text{Machine B} & 2 & 2 & 18\\\text{Machine C} & 4 & 1 & 24\\\text{Unit profit} & $8.00 & $10.00 & \\\end{array}[/tex]
2. List the constraints
(a) Beth can't make a negative number of mittens, so
x ≥ 0.
(b) Neither can she make a negative number of gloves, so
y ≥ 0.
(c) The total number of minutes on Machine A cannot exceed 32, so
2x + 4y ≤ 32.
(d) The total number of minutes on Machine B cannot exceed 18, so
2x + 2y ≤ 18.
(e) The total number of minutes on Machine C cannot exceed 24, so
4x + y ≤ 24.
3. Write an equation for the profit
P = 8.00x + 10.00y
4. Graph the constraints to identify the feasible region
See the figure below. The feasible region is the dark green area where all three regions overlap.
5. Determine the points of intersection between the constraints
(i) Constraints (c) and (d)
[tex]\begin{array}{rcr}2x + 4y & = & 32\\2x + 2y & = & 18\\2y & = & 14\\y & = & \mathbf{7}\\2x + 14 & = & 18\\2x & = &4\\x & = & \mathbf{2}\\\end{array}\\[/tex]
The lines intersect at (2,7).
(ii) Constraints (c) and (e)
[tex]\begin{array}{rcl}2x + 4y & = & 32\\4x + y & = & 24\\4x + 8y & = & 64\\7y & = & 40\\y & = & \mathbf{\dfrac{40}{7}}\\\\4x + \dfrac{40}{7} & = & 24\\\\4x & = &24 - \dfrac{40}{7}\\\\4x & = & \dfrac{128}{7}\\\\x & = & \mathbf{\dfrac{32}{7}}\\\\\end{array}\\[/tex]
The lines intersect at (27/7,32/7).
(iii) Constraints (d) and (e)
[tex]\begin{array}{rcr}2x + 2y & = & 18\\4x + y & = & 24\\4x + 4y & = & 36\\3y & = & 12\\y & = & \mathbf{4}\\4x +4 & = & 24\\4x & = &20\\x & = & \mathbf{5}\\\end{array}\\[/tex]
The lines intersect at (5,4).
6. Determine the x- and y-intercepts of the feasible region
(i) x-intercept
[tex]\begin{array}{rcr}4x + y & = & 24\\4x + 0 & = & 24\\x & = & \mathbf{6}\\\end{array}[/tex]
The x-intercept is at (6,0).
(ii) y-intercept
[tex]\begin{array}{rcr}2x + 4y & = &32\\2(0) + 4y & = &32\\4y & = & 32\\y & = & \mathbf{8}\\\end{array}[/tex]
The y-intercept is at (0,8).
The five black dots are the vertices of the polygon that represents the feasible region.
7. Calculate the maximum profit
Calculate the profit at each of the vertices.
(i) At (0,0)
P = 8.00x + 10.00y = 8.00(0) + 10.00(0) = 0 + 0 = $0
(ii) At (2,7)
P = 8.00(2) + 10.00(7) = 16 + 70 = $86
(iii) At (5,4)
P = 8.00(5) + 10.00(4) = 40 + 40 = $80
(iv) At (6,0)
P = 8.00(6) + 10.00(0) = 48 + 0 = $48
The maximum profit occurs at (2,7)
Thus, Beth should knit two mittens and seven gloves.
You are selling decorative eggs for your club.
Medium Eggs sold for $3 each. Large Eggs sold for
$6 each. A total of 190 Eggs were sold, and sales
totaled $870. How many Large Eggs did you sell?
Here is a list of ingredients to make biscuits.
200 g butter
180 g caster sugar
400 g plain flour
20g chocolate chips
Andrew only has 300 g of plain flour.
How much of the other ingredients should he use?
g butter
g caster sugar
Help due tomorrow and I'm a bit thick and tired
g chocolate chips
Answer:
[tex]\frac{200}{1} * \frac{3}{4} = 150g[/tex] < butter
[tex]\frac{180}{1}*\frac{3}{4} = 135g[/tex] < castor sugar
[tex]\frac{20}{1}*\frac{3}{4} = 15g[/tex] < chocolate chips
full working out :)
Help asap please It says. the graph of the relation:y=x^2-2. Use the graph to find the domain and range using interval notation. What did I do wrong for the one with the x.
Answer:
The mistake you made is that it should be [-2, infinity) not (-2, infinity).
An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an=-6+(n-2)8 B. an=8+(n-6)(-1) C. an=8+(n-1)(-6) D. an=8+(n-1)6
Answer:
an = 8 + (n-1) *(-6)
Step-by-step explanation:
The explicit formula is
an = a1+ d (n-1) where a1 is the initial value and d is the common difference
The initial value is 8 so a1 = 8
The common difference is what we are adding or subtracting each time
We are subtracting 6 each time as we see from the recursive forumla
so d = -6
an = 8 -6(n-1)
or
an = 8 + (n-1) *(-6)
Answer:
C
Step-by-step explanation:
[tex]a_{n}-a_{n-1}=-6\\d=-6\\a_{n}=a_{1}+(n-1)d\\a_{n}=8+(n-1)(-6)[/tex]
Helpppp meeee do ths
Answer:
7/10
Step-by-step explanation:
10 dishes
3 meat dishes = ( chicken, hamburger, meatloaf)
10-3 = 7 that are not meat
P ( not meat) = not meat / total
=7/10
Answer:
7/10
Step-by-step explanation:
There are a total of 10 meals to choose from. There is 1 chicken, 1 hamburger, and 1 meatloaf. Together they make 3 meat choices. So there are 3/10 of probability of choosing meat. We are looking for the probability of not choosing meat which would be 7/10. This is because the whole amount of meals 10- 3 meat chooices equals 7 total of meals that are not meat. Which gives us the probability of 7/10.
Hope that was helpful!
(Brainliest???) :P
Sarah dreams of going to medical school and giving quality medical care to people who live in countries in crisis. Which of the following is an organization she might want to work for? Peace Corps. World Health Organization. United Nations. Alliance for small island states
I would say World Health Organization because that is for the world and Sally dreams of going to medical school and giving quality medical care to people who live in countries in crisis.
Answer:
B
Step-by-step explanation:
I took the test ;P
(-2a-4b-6c) - (-a - 2b +3c)
━━━━━━━☆☆━━━━━━━
▹ Answer
-a - 2b - 9c
▹ Step-by-Step Explanation
(-2a - 4b - 6c) - (-a - 2b + 3c)
Remove parentheses
-2a - 4b - 6c - (-a - 2b + 3c)
Collect like terms
-a - 4b - 6c + 2b - 3c
Final Answer
-a - 2b - 9c
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: -a - 2b -9c
Step-by-step explanation:
-2a - (-a) = -a
-4b - (-2b) = -2b
-6c - (3c) = -9c
-a - 2b - 9c
there are 4 blue counters and 3 red counters in a bag. Suzy put some more red counters into the bag. The ratio between blue and red counters is now 2:5. How many red counters did suzy put into the bag
Answer:
i think suzy will put 15 red counters into the bag
Step-by-step explanation:
what is 2 Square of 100? what is 3 Square of 250
Answer:
10,000
15,625,000
Step-by-step explanation:
Squaring a number means multiplying a number by itself.
100^2=100*100=10,000
Cubing a number means multiplying a number by itself 3 times.
250^3=250*250*250=15,625,000
Hope this helps ;) ❤❤❤
Answer:
10000
15,625,000
Step-by-step explanation:
100 x 100 = 10000
250 x 250 x 250 = 15,625,000
Can someone please help me graph these 4?
Answer:
These are ordered 1, 2, 3, 4
In 6 years, John will be 3 times the age he was 2 years ago. What is his current age?
7
U8
5
Answer:
John is currently 6 years old.
Step-by-step explanation:
2 years ago: x years
Current time: x+2
In 6 years: x+8
EQUATION:
3(x)=x+8= 3x=x+8
(subract x from both sides)
2x=8
x=4
Therefore, John is 6 years old in current time
Write down the gradient and y-intercept of each line
y=4x - 1
y=
[tex] \frac{1}{3} x + 3[/tex]
help pls
Answer:
Equation of a line is y = mx + c
where m is the gradient
c is the y intercept
a.)y = 4x - 1
Comparing with y = mx + c
The gradient = 4
y intercept = - 1
b.)[tex]y = \frac{1}{3} x + 3[/tex]
Comparing with y = mx + c
The gradient is 1/3
The y intercept is 3
Hope this helps you
Answer:
4 and -1
1/3 and 3
Step-by-step explanation:
for y=4x-1
y intercepts where x=0 so f(0)=4*0-1=-1
y intecepts = - 1
the gradient is y2-y1/x2-x1 where y2=f(x2)=4x2-1 and y1=f(x1)=4x1-1
the gradient is 4x2-1-4x1+1/x2-x1=4 ( the coeficient of x)
for y=1/3x+3
the gradient is 1/3
y intercepts is f(0)=3
What is the probability that two randomly chosen players completed the walk in 2.9 hours or more? Show your work.
Answer:
8.08%
Step-by-step explanation:
Suppose several high schools in a city are sponsoring a walk-athon to raise money for a local charity. A certain route is mapped out through the city and each participant finds sponsors to donate money for the walk. If a participant completes the walk under a certain time, extra money will be donated. You are responsible for recording the finishing times for each of the participants. After collecting all of the data, you determine that the finishing times are normally distributed with a mean of 2.6 hours and a standard deviation of 0.3 hour.
Answer:
Given that:
Mean (μ) = 2.6 hours and standard deviation (σ) = 0.3 hour, n = 2
The z score is used in statistics to determine the amount of standard deviation by which the raw score is above or below the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex], where x is the raw score.
If the sample size (n) is taken then the z score is given by:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
Therefore for this problem the z score is:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }=\frac{2.9-2.6}{\frac{0.3}{\sqrt{2} } }=1.41[/tex]
From the normal distribution table, probability that two randomly chosen players completed the walk in 2.9 hours or more = P(x > 2.9) = P(z > 1.41) = 1 - P(z < 1.41) = 1 - 0.9192 = 0.0808 = 8.08%
21%
For all values of x
(2)
f(x) = (x + 2)2 and g(x) = 3(x - 1)
a) Find gf(x), giving your answer in the form a(x2 + bx + c)
where a, b and care integers.
(x² +
x +
b) Find g '(12)
(2)
Answer:
f(x) = (x + 2)2 = 2x + 4
g(x) = 3(x - 1) = 3x - 3
gf(x) = (2x + 4)(3x - 3)
= 6x² - 6x + 12x - 12
= 6x² + 6x - 12
To write the final answer in the form
a(x² + bx + c) we factorize the expression
Thus
6x² + 6x - 12
= 6( x² + x - 2)
where a = 6, b = 1 and c = - 2
b.) to find g '(12) we first find g ′
To find g′ equate g(x) to y
Thus
g(x) = y
y = 3x - 3
x = 3y - 3
3y = x + 3
Divide both sides by 3
We get
y = x+3/3
That's g′ = x + 3 / 3
g′(12) = 12 + 3 / 3
= 15/3
= 5
Hope this helps
Which matrix represents the system of equations shown below 2x=13 and 3x-2y=11
Answer:
A. Matrix A
Step-by-step explanation:
When you put a systems of linear equations in matrix form, you take only the coefficients of the xy terms and sort them. x goes first, y comes after, and the numbers after the bars are the constants.
Answer:
matrix a
Step-by-step explanation:
a-p-e-x
Considering the following statements, what is X → Z? X → Y: If the sum of the interior angles of a shape is 180°, then it's a triangle. Y → Z: If a shape is a triangle, then it has three sides.
A) X → Z: If a shape has three sides, then it's a triangle.
B) X → Z: If the sum of the interior angles of a shape isn't 180°, then it doesn't have three sides.
C) X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
D) X → Z: If a shape has three sides, then the sum of the interior angles of the shape is 180°.
Answer: X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
Step-by-step explanation:
Answer: The answer is C.
Step-by-step explanation: I did the test and it was right
A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to reach finally at position Z. The position Z is situated at the north of X and at a distance of 60 m from X. Find the distance between X and Y.
Answer:
The distance between X and Y is 68m
Step-by-step explanation:
Consider the diagram attached:
A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.
We have to find distance XY.
Let the distance XY be x
Total distance covered by the person = XY + YZ
We know that total distance covered is 100m, so
100m = x + YZ
YZ = (100 - x)m
See the diagram, XZY forms a right angled triangle such that:
Hypotenuse = XY = x
Base = XZ = 60m
Perpendicular = YZ = (100-x)m
Using Pythagoras theorem
Hypotenuse² = Base² + Perpendicular²
x² = (60)² + (100-x)²
Solve the equation for x, we get:
x = 68m