Answer:
A. y < -2x + 6
y≤ x + 2
Step-by-step explanation:
I put it in desmos.
Hope this helps!
If not, I am sorry.
(a - b)(2x-3)+(6x+7)(a+b)
Factorise
Answer:
2(4ax+2bx+2a+5b)
Step-by-step explanation:
pls help
Enter the equation for the graph.
Answer:
[tex]y=[1]cos([\frac{2\pi }{3}]x)[/tex]
Step-by-step explanation:
Looking at the graph, we can see the domain to be from (0 , 2π).
Now we have to find one period that corresponds to cos(x).
The half-period of cos(x) for this graph appears to be pi/3 and adding another pi/3 gets us 2pi/3 to be our cosine period.
b = 2pi/3
a is the same range as cos(x). Range: (0,0)
y = [a] * cos ([b]*x)
y = [1] * cos([2pi/3]x)
the population of blackbirds in a park is counted every year.
the population decreases by 24% to 323
what was the original population?
Answer:
the original population was 425
Step-by-step explanation:
Answer:
425
Step-by-step explanation:
Let the original population of blackbirds be x.
Original population decreases by New population
100 24 76
x 24 323
Now we can make an expression like this.
100 ⇒ 76
x ⇒ 323
And now let us use cross multiplication and solve for x.
Let us solve it now.
323 × 100 = 76x
32300 = 76x
425= x
Derive tan(A+B)+tan(A+B)- tan(A+B)+tan(A+B).
Step-by-step explanation:
the answer will be zero 0
What are the zeros of the quadratic function f(x) = 2x² + 16x - 9?
7
O x = -4 -
-√7
and x = -4 +
+√√2/2
O x=-4- 25
and x = 4 +
-
2
21
0 x = -4-√²/²
and x = -4 +
2
41
Ox=-4-
and x = -4 +
2
|~~
25
2
21
2
41
2
The zeros of the quadratic function f(x) = 2x² + 16x - 9 are given as follows:
[tex]x = -4 + \sqrt{\frac{41}{2}}, x = -4 - \sqrt{\frac{41}{2}}[/tex]
What is a quadratic function?A quadratic function is given according to the following rule:
[tex]y = ax^2 + bx + c[/tex]
The solutions are:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]
In which:
[tex]\Delta = b^2 - 4ac[/tex]
In this problem, the equation is given by:
f(x) = 2x² + 16x - 9.
The coefficients are a = 2, b = 16, c = -9, hence:
[tex]\Delta = 16^2 - 4(2)(-9) = 328[/tex]
Then:
[tex]x_1 = \frac{-16 + \sqrt{328}}{2(2)} = -4 + \sqrt{\frac{41}{2}}[/tex]
[tex]x_2 = \frac{-16 - \sqrt{328}}{2(2)} = -4 - \sqrt{\frac{41}{2}}[/tex]
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which of the following have eight faces
What are the solutions of 3x² + 14x + 16 = 0?
0 x=-₁-2
0 x = -2₁-²2/
0x = ²,2
0x=-₁2
X
Answer:
x = -2, -2
Step-by-step explanation:
3x² + 14x + 16 = 0
(3x+8) (x+2)
x = -8/3
x = -2
The solutions of the quadratic equation 3x² + 14x + 16 = 0 are x = -2 and x = -8/3.
To find the solutions of the quadratic equation 3x² + 14x + 16 = 0, we can use the quadratic formula.
The quadratic formula states that for an equation of the form ax² + bx + c = 0
The solutions for x can be found using the formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation 3x² + 14x + 16 = 0,
a = 3, b = 14, and c = 16.
Substituting these values into the quadratic formula, we get:
x = (-14 ± √(14² - 4.3.16)) / (2 × 3)
x = (-14 ± √(196 - 192)) / 6
x = (-14 ± √4) / 6
Now we have two possibilities for x:
x₁ = (-14 + √4) / 6
x₂ = (-14 - √4) / 6
Simplifying each expression:
x₁ = (-14 + 2) / 6
x₁ = -12 / 6
x₁ = -2
x₂ = (-14 - 2) / 6
x₂ = -16 / 6
x₂ = -8 / 3
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Tricia recorded the number of pets owned by each of her classmates. these data points represent the results of her survey. 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3 create a dot plot that represents the data.
The dot plot of the data recorded by Tricia about number of pets owned by each of her classmates looks like scattered and some points are in one line.
Given number of pets owned by each of her classmates are: 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3.
We have to create dot plot of the data given in the question.
Firstly we have to give a code to each value which represents friend of Tricia.
A dot plot is a statistical chart which have points but they are presented in dot form. Each dot shows a value .There are two common, yet different versions of the dot chart.
After giving codes the table will look like:
Friend Number of pets
1 0
2 3
3 2
4 4
5 1
6 0
7 0
8 3
9 2
10 1
11 2
12 1
13 1
14 3
15 4
16 2
17 0
18 0
19 1
20 1
21 1
22 0
23 3
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If an employer reduces the working week from 40 hours to 35 hours, with no
loss of weedy pay, calculate the percentage increase in the hourly rate of pay.
Answer:
14.285714285714 %
Step-by-step explanation:
suppose the weekly payment is of x dollars
Then
Previous payment : $(x/40) per hour
New payment : $(x/35) per hour
Then
The percentage increase in the hourly rate of pay is :
[tex]=\frac{\frac{x}{35} -\frac{x}{40} }{\frac{x}{40} } \times100[/tex]
[tex]=\frac{\frac{5x}{1400} }{\frac{x}{40} } \times100[/tex]
[tex]=\frac{5x}{1400} \times \frac{40}{x} \times100[/tex]
[tex]=\frac{200}{1400} \times100[/tex]
[tex]=\frac{1}{7} \times100[/tex]
[tex]=14.285714285714[/tex]
Which statement regarding the diagram is true?
m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°
The statement m∠WXY + m∠YXZ = 180° is true.
ExplanationFrom the diagram, m∠WXY > m∠YXZ ⇒ m∠WXY ≠ m∠YXZ. So, option (a) is not true.
From the diagram, m∠WXY > 90° and m∠YZX < 90° ⇒ m∠WXY ≠ m∠YXZ. So, option (b) is not true.
The line WXZ is a straight line so ∠WXY and ∠YXZ are Linear pair. The sum of collinear angles is 180°. So, option (c) is correct.
From the diagram, m∠YXZ ≠ m∠XYZ but since m∠WXY + m∠YXZ = 180° ⇒ m∠WXY + m∠XYZ ≠ 180°. So, option (d) is not correct.
Option (c) is, thus, the correct option.
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Disclaimer: The question was incomplete. Please find the dull content below.
QuestionWhich statement regarding the attached diagram is true?
m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°
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Find the equation of the parabola that has zeros of x = - 6 and x = 6 and a yintercept of (0, 4) .
please please help ME!!!
Answer:
720 Course Schedules
Step-by-step explanation:
When you choose the first course, there are 6 to choose from. When you scoose the second, there are only 5. This keeps going until the 6th course where there is only 1 choice.
You multiply these choices together. You should get 6×5×4×3×2×1
6×5=30
30×4=120
120×3=360
360×2=720
720×1=720
You then end up with 720 course schedules.
What is the inverse of the function f(x) = 2x +1?
Answer:
y=0.5(x−1)
Step-by-step explanation:
Explanation: To find the inverse of a function, you have to substitute y for x in the equation and simplify to get a normal equation again. In this case, f(x) is y.
y=2x+1
x=2y+1
2y+1=x
2y=x−1
y=0.5(x−1)
Answer
[tex]y=\frac{x-1}{2}[/tex]
Step-by-step explanation:
To find the inverse of a function [tex]f(x)=2x+1[/tex] , we substitute x and y for each other and then solve for y to get a new function.
We rewrite the original function as:
[tex]x=2y+1[/tex]
And then we solve for y:
[tex]x-1=2y[/tex]
[tex]y=\frac{x-1}{2}[/tex]
This is our answer.
Solve this system of equations by
using the elimination method.
2x - 3y = 25
5x + 3y = 10
The ordered pair of solutions
is written in the format (x, y).
([?], [])
Enter
Answer:
(5,-5)
x=5
y=-5
Step-by-step explanation:
How to solve using elimination method.
First, add the two equations.
2x - 3y = 25
+ 5x + 3y = 10
7x=35
The y values got eliminated.
Next, divide 7 from both sides.
7x/7=35/7
x=5
Next, plug-in x=5 into one of the equations.
2(5) - 3y = 25
10-3y=25
Subtract 10 from both sides.
-3y=15
Divide -3 from both sides.
y=-5
Remember a positive divided by a negative is a negative.
Hope this helps!
If not, I am sorry.
-3(2x-5)<5(2-x)
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct option is an open circle at 5 and a bold line starts at 5 and is pointing to the right.
The given inequality is -3(2x-5)<5(2-x).
What is inequality?Inequality is a declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
At first simplify each side
LHS of inequality -3(2x - 5) = -3(2x) + -3(-5) [∵(-)(-) = (+)]
⇒ -3(2x - 5) = - 6x + 15
Now, RHS of the inequality 5(2 - x) = 5(2) + 5(-x) [∵(+)(-) = (-)]
⇒ 5(2 - x) = 10 - 5x
Now, - 6x + 15 < 10 - 5x
Subtract 15 from both sides
That is, - 6x < -5 - 5x
Add 5x to both sides
That is, - x < - 5
Remember the coefficient of x is negative, and then when you divide both sides by it you must reverse the sign of inequality.
Now, the coefficient of x is -1
So, divide both sides by -1
Then, x > 5.
Hence, the correct option is an open circle at 5 and a bold line starts at 5 and is pointing to the right.
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Question Progress
Find the following, giving your answers
to 1 decimal place.
10 cm/
Homework Progress
17/21 Marks
6 cm
8 cm
a) The volume of the cone.
b) The curved surface area of the cone.
Vol = ²
Curved
surface area
Answer:
[tex]\pi \times radius \times hieght[/tex]
Logarithm of x to the root 2 + logarithm (x-1) to the root 2 = 1
By the application of algebraic procedures and logarithm properties, the roots of the logarithmic equation [tex]\log \sqrt{x} + \log \sqrt{x-1} = 1[/tex] are x = 2 and x = -1.
How to solve a logarithmic functions
In this question we need to solve a logarithmic equation by means of algebraic procedures and logarithm properties:
[tex]\log \sqrt{x} + \log \sqrt{x-1} = 1[/tex]
[tex]\log \sqrt{x\cdot (x-1)} = 1[/tex]
[tex]\log \sqrt{x^{2}-x} = 1[/tex]
[tex]\frac{1}{2}\cdot \log (x^{2}-x) = 1[/tex]
[tex]\log (x^{2}-x) = 2[/tex]
[tex]x^{2}-x = 2[/tex]
[tex]x \cdot (x-1) = 2[/tex]
[tex]x - 1 = \frac{2}{x}[/tex]
[tex]x - \frac{2}{x} = 1[/tex]
[tex]\frac{x^{2}-2}{x} = 1[/tex]
[tex]x^{2} - 2 = x[/tex]
[tex]x^{2}-x-2 = 0[/tex]
[tex](x-2)\cdot (x + 1) = 0[/tex]
[tex]x = 2 \,\lor \,x= -1[/tex]
By the application of algebraic procedures and logarithm properties, the roots of the logarithmic equation [tex]\log \sqrt{x} + \log \sqrt{x-1} = 1[/tex] are x = 2 and x = -1.
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Eugenia rolls a six-sided number cube. What is the probability that she gets a number greater than 4? A. 1/6 B. 1/3 C. 2/3 D. 5/6
The probability that she gets a number greater than 4 is 1/3
How to determine the probability?A six-sided number cube has the following properties:
Faces = 6
Numbers greater than 4 = 2
The probability that she gets a number greater than 4 is calculated as:
P = 2/6
Simplify
P =1/3
Hence, the probability that she gets a number greater than 4 is 1/3
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Find mZE to the nearest degree.
37
53
10
24
Answer:
10
Step-by-step explanation:
Examine the following dot plot.
A dot plot with 1 dot above 5, 1 dot above 10, 1 dot above 20, 2 dots above 30, 5 dots above 40, and 6 dots above 50.
© 2018 StrongMind. Created using GeoGebra.
Which answer correctly describes the shape of the data in the dot plot?
right-skewed
left-skewed
symmetrical
uniform
The data in the plot is Right skewed.
Therefore , Option A is the right answer
What is a Right skewed ?A right skewed distribution means most of the data lies to the right side of the graph's peak.
A dot plot is given and observing the data it can be seen that peak is towards the right side of the graph.
Thus the data in the plot is Right skewed.
Therefore , Option A is the right answer.
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work out 6z - 4z .what is the answer?
Answer:
4 is the answer
Step-by-step explanation:
you can - or + the equation only then when the letter is same z and z both are same so you can - them and get the answer.
If two angles have the same angle measure, then they are said to be____.
A. Complementary
B.adjacent
C.congruent
Answer:
C
Step-by-step explanation:
2 equal angles are said to be congruent
Reece and Sarah share some money in the ratio 9 : 16.
Reece says that Sarah gets more than 60% of this money. Show that Reece is correct.
Answer:
64% > 60%
Step-by-step explanation:
Total Units = 9 + 16 = 25 units.
Sarah Receives 16 units out of 25.
Percentage = 16/25 * 100
= 64%
Therefore Sarah received more than 60% of this money and therefore Reece is correct.
both of the drop menus have the same options
Answer:
The slope of line p is 3 and the slope of line q is -3
URGENTTT...A survey asks teachers and students whether they would like the new school mascot to be a pirate or a moose. This table shows the results:
The option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a table given that shows the survey asks teachers and students whether they would like the new school mascot to be a pirate or a moose.
The probability of a person that is a student:
P(student) = (75+15)/110 = 0.83
The probability:
P(student|pirate) = 75/80 = 0.93
The probability of both events is different.
Thus, the option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.
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what is half of 10,000
Answer:
5000
Step-by-step explanation:
1000/2=5000
Gene has a gasoline budget of $300 per month. He uses an average of $6 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
Answer:
300-6x
Step-by-step explanation:
Trust me
Write an equation for a polynomial with all the following features:
a. The degree is 5. b. The polynomial has 4 terms.
c. The graph of the polynomial crosses the vertical axis at y = 12.
2. Identify the approximate input values of any relative maximums and minimums of
this 5th degree polynomial.
Use finite differences to identify the degree of the polynomial that best describes the data. 9 10 11 12 13 14
The forward differences for this data is 1, 1, 1, 1, 1, 1 (since 10 - 9 = 1, 11 - 10 = 1, etc). Since we only need one iteration of differences, a linear polynomial will fit the data exactly.
Solve by elimination
show your work
y = 3x + 10
y = 2x - 8
im giving brainlyest
Answer:
[tex]x=-18, y=-44[/tex]
Step-by-step explanation:
[tex]y=3x+10\\y=2x-8\\\\3x+10=y\\2x-8=y\\3x-y=-10\\2x-y=8\\\\-2(3x-y=-10)\\3(2x-y=8)\\\\-6x+2y=20\\6x-3y=24\\-y=44\\y=-44\\-44=3x+10\\-54=3x\\x=\frac{-54}{3} \\x=-18\\\\x=-18, y=-44\\[/tex]
CHECK
[tex]-44=3(-18)+10\\-44=-54+10\\-44=-44\\\\-44=2(-18)-8\\-44=-36-8\\-44=-44[/tex]