The range of the function given the domain x > -2 is; Range; y < -8.
What is the range of the function?The range of a function is the set of all possible outcomes of the function. In this scenario, since the domain of the function is given as X > -2. It follows from the function that at all times, the range of the function is given by; y < -8 from; y < 5(-2) +2; y< -8.
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Deon has bought 18 pounds of dog food. He feeds his dog
Write your answer in simplest form.
2|3
pounds for each meal. For how many meals will the food last?
Answer:
6 to 9 meals
Step-by-step explanation:
9 If he feeds 2 pounds per meal. 18÷2 =9
6 if he feeds 3 pounds per meal. 18÷3=6
Need help (pic included)
Answer:
(-4,-2)
x=-4
y=-2
Step-by-step explanation:
-3x-4y=20
3(x-10y=16)=3x-30y=48
The reason I multiplied 3 to the second equation is for when we add the equations together the x will cancel out.
-3x-4y=20
+ 3x-30y=48
-34y=68
Divide -34 from both sides.
y=-2
To find x you need to plug in -2 for y into one of the equations.
x-10y=16
x-10(-2)=16
Remember a negative times a negative equals a positive.
x+20=16
Subtract 20 from both sides.
x=-4
Hope this helps!
If not, I am sorry.
In the diagram below, triangle lmn is congruent to cba. What is the length of segment ln?
Answer:
this is step by step explenation
see more...
)In the figure below, lines m and n are parallel:
Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 4, and 3 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 8, and 7 in clockwise order from top left.
In the diagram shown, ∠6 measures 97 degrees. What is the measure of ∠5?
83 degrees
90 degrees
97 degrees
180 degrees
Based on the linear pair theorem, the measure of angle 5 is: A. 83 degrees.
What is the Linear Pair Theorem?The linear pair theorem states that if two angles are on a straight line, the sum of their measures equals 180 degrees.
∠5 and ∠6 are a linear pair. Therefore:
m∠5 = 180 - m∠6
m∠5 = 180 - 97
m∠5 = 83°
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Answer:83 degrees
Step-by-step explanation:topG
What is the length of the missing side of this triangle?
A
2
B
10
C
50
D
100
the top is 26 bottom is 24 left side is the missing side
Answer:
The answer is B=10 and the top is called hypothenus
Answer:
x = 10
Step-by-step explanation:
The given is a right triangle, in right triangles the sum of square value of two legs (base and height) is equal to square value of hypotenuse.
Now, know the value of base and hypotenuse are 24 and 26
let x represent the missing side:
26^2 = x^2 + 24^2
676 = x^2 + 576 subtract 576 from both sides
100 = x^2 find the root of both sides
10 = x this is the length of the missing side
Directions:
Sarah is going to the movies and she has $10 to spend on snacks. Smoothies are $3
and candy bars are $1 each. She will be spending all of the $10.
Budget: $10
Smoothies: $3
Candy bars: $1
Draw a line graph that represents the budget constraints and possible purchasing
options that Sarah has with her $10.
The attached graph represents the graph of the equation 3x + y = 10
How to determine the line graph?The given parameters are:
Budget: $10Smoothies: $3Candy bars: $1Represent the number of smoothies with x and the number of candy bears with y.
So, the equation is:
3x + 1y = 10
This gives
3x + y = 10
Next, we plot the graph of the above equation
See attachment for the graph of 3x + y = 10
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The line equation 3x + y = 10 represents the budget constraints and possible purchasing options that Sarah has with her $10, and the graph is shown in the picture.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Sarah is going to the movies, and she has $10 to spend on snacks. Smoothies are $3 and candy bars are $1 each. She will be spending all of the $10.
Let's suppose the number of smoothies is x and the number of candy bars is y:
Then, we can frame a linear equation in one variable:
3x + y = 10
Drawing the above the line on the coordinate plane:
Thus, the line equation 3x + y = 10 represents the budget constraints and possible purchasing options that Sarah has with her $10, and the graph is shown in the picture.
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Solve: 7 x + 2 y = 16; -21 x-6 y = 24 Solve : 7 x + 2 y = 16 ; -21 x - 6 y = 24
Answer:
No solution
Step-by-step explanation:
Solving system of linear equations:7x + 2y = 16 ----------------(I)
-21x - 6y = 24 -----------------(II)
[tex]\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}\\[/tex]
[tex]\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}[/tex]
[tex]\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}[/tex]
So, the lines are parallel and has no solution
If f(x) = -x-2, what is f¹(x)?
Answer:
f¯¹(x) =9x+18, for the pictorial(image) question what is the send question is it asking derivative or inverse If it is inverse f¯¹(x)=-x-2 as it isOr if it is derivative f'(x)=-1Step-by-step explanation:
For the image question f(x)=1/9x-2,f¯¹(x)=?f(x)=1/9x-2............giveny=1/9x-2................swapping f(x) by y to Easily writex=1/9y-2................interchanging x and y1/9y-2=x................changeling side of equation 9(1/9y-2)=(x)9.......multiplying both sides by 9 to override the fraction on the right side y-18=9xy=9x-18.................Return to where it weref¯¹(x)=9x+18..........swap back f¯¹(x) in the yFor the question f(x)=-x-2,f¯¹(x)=?following the ☝️ arrangement y=-x-2x=-y-2-y-2=x-y=x+2y=-x-2f¯¹(x)=-x-2find x ratio y... help please, i have a test tomorrow.
thanks
Answer:
27/4
Step-by-step explanation:
added in the picture
A polynomial f(x) has the given zeros of 7-1, and-3
Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form Show all necessary calculations (3 points)
Part B: Divide the polynomial f (x) by (x²-x-2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote (4 points)
Part C: List all locations and types of discontinuities of the function g(x) (3 points)
The polynomial f(x) in expanded form is [tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]
The polynomial f(x)The polynomial zeros are given as:
x = 7, x = -1 and x = -3
Rewrite as:
x - 7 = 0, x + 1 = 0 and x + 3 = 0
Multiply the zeros
f(x) = (x - 7)(x + 1)(x + 3)
Expand
[tex]f(x) = (x - 7)(x^2 + 4x + 3)[/tex]
Further, expand
[tex]f(x) = x^3 + 4x^2 - 7x^2 + 3x - 28x - 21[/tex]
Evaluate
[tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]
Hence, the polynomial f(x) in expanded form is [tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]
Rational function g(x)We have:
[tex]g(x) = \frac{f(x)}{x^2 - x- 2}[/tex]
This gives
[tex]g(x) = \frac{x^3 - 3x^2 - 25x - 21}{x^2 - x- 2}[/tex]
Expand the numerator
[tex]g(x) = \frac{x^3 - x^2 - 2x^2 - 2x + 2x - 25x + 4 - 25}{x^2 - x - 2}[/tex]
Rewrite as:
[tex]g(x) = \frac{x^3 - x^2 - 2x - 2x^2 + 2x + 4 - 25x - 25}{x^2 - x - 2}[/tex]
Factorize
[tex]g(x) = \frac{(x - 2)(x^2 - x- 2) - 25x - 25}{x^2 - x- 2}[/tex]
Evaluate the quotient
[tex]g(x) = x - 2 - \frac{25x + 25}{x^2 - x- 2}[/tex]
The slant asymptote is the quotient i.e. x - 2
Hence, the slant asymptote of the function g(x) is x - 2
The discontinuities of g(x)In (b), we have:
[tex]g(x) = \frac{x^3 - 3x^2 - 25x - 21}{x^2 - x- 2}[/tex]
Set the denominator to 0
[tex]x^2 - x - 2 = 0[/tex]
Expand
[tex]x^2 + x - 2x - 2 = 0[/tex]
Factorize
x(x + 1) - 2(x + 1) = 0
Factor our x + 1
(x - 2)(x + 1) = 0
Solve for x
x = 2 or x = -1
2 is greater than -1.
So, the discontinuities and their types are:
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The amount of weight a truck can hold is limited to 1200 pounds. If you weigh 165 pounds and each brick weighs 3 pounds, how many bricks, b, can you
haul?
Answer:
max weight truck can hold = 1200 pounds
your weight. 165 pounds
1200 - 165
1035 pounds left
3 pounds --- 1 brick
1035 --- ?
1035 / 3
345 can haulYou can haul 345 bricks in the truck.
How many bricks, b, can you haul?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.
From the given information, we have:
The amount of weight a truck can hold is limited to 1200 pounds.
You weigh 165 pounds and each brick weighs 3 pounds.
Number of bricks you can haul, b.
Thus, we can say:
Your weight + (Weight of each brick * Number of bricks) ≤ Total weight capacity of the truck
165 + (3 * b) ≤ 1200
3b ≤ 1200 - 165
3b ≤ 1035
b ≤ 1035/3
b ≤ 345
Therefore, you can haul 345 bricks in the truck.
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2.) The quotient of 3 and y
Answer:
3 ÷ y
Step-by-step explanation:
Quotient refers to the division of two values, in this case 3 and y.
Answer:
3/y
Step-by-step explanation:
The expression for the nth term of a sequence is 4n+6
What are the first three terms in the sequence? Give your answers in
order.
Answer:
10, 14, 18
Step-by-step explanation:
We know that the nth term is '4n+6', so we just have to plug in whichever number we want for n, where n is the nth term in the sequence. The first term would be 4 * 1 + 6 = 10, the second term would be 4 * 2 + 6 = 14, and finally the third term would be 4 * 3 + 6 = 18. Therefore, your answer should be 10, 14, 18.
HELP PLEASE!!!!!!!!!!!!!!!!!!!
Answer:
D.) x - 4
Step-by-step explanation:
This is a graph of an exponential/quadratic function. There general structure looks like this:
ax² + bx + c
Generally, when finding the zeros these functions, you are told to factor the equation. Once you have factored the equation, you can set the factors equal to zero to find the points where the function touches the x-intercept.
That being said, you can determine the factors without having the entire equation by identifying the zeros on the function. On this graph, there is a zero at (4,0). This means that one of the factors must have been "x - 4". You can check your work by setting the factor equal to zero.
x - 4 = 0
x = 4
(2x²+3)(3x-2)-3x(x²-4)
Answer:
3x^3-4x^2+12x-6
Step-by-step explanation:
i hope this is right<3
find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9%.
p=____%
The probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be 0.000343311 %
What is the probability?Probability is synonymous with possibility. It is concerned with the occurrence of a random event.
Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.
No of failure,n = 7
No of trials,x≥6
A binomial probability is represented as;
[tex]\rm P(x) = nC_x p^z(1-p)^{n-r}[/tex]
Substitute the given data;
[tex]P(x \geq 6) = 7C_6 \times 9^6 \times 91-9)^{7-6} +7C_7 (9)^7+(1-9)^{(7-7)}[/tex]
[tex]\rm P(x \geq 6) = 0.000000343311 \\\\ P(x \geq6)=0.000343311 \%[/tex]
Hence,the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be 0.000343311 %
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Two number cubes are rolled for two separate events:
Event A is the event that the sum of numbers on both cubes is less than 10.
Event B is the event that the sum of numbers on both cubes is a multiple of 3.
Find the conditional probability of B given that A occurs first.
Answer:
You are right...........
sam and jose mowed 2/3 of the yard. jose mowed 3/4of that amount. whta part of the yard did jose mow?
Answer:
09
Step-by-step explanation:
34
(05.06)
Which of the following points lie in the solution set to the following system of
inequalities? (1 point)
y<-3x+3
y
O (1.-5)
O (1.5)
O (5.1)
0 (-1.5)
Simplify
21x^6 y^5
14x^2y^9
Answer:
[tex]\frac{3x^{4} }{2y^{4} }[/tex]
Step-by-step explanation:
Factor out 7 from top and bottom :
[tex]\frac{7(3x^6y^5)}{7(2x^2y^9)}[/tex]
Divide top and bottom by 7 :
[tex]\frac{3x^6y^5}{2x^2y^9}[/tex]
Simplify :
[tex]\frac{x^6}{x^4}=x^{2}[/tex]
Simplify :
[tex]\frac{y^5}{y^9} = y^{-4} = \frac{1}{y^{4} }[/tex]
Collect everything together :
[tex]\frac{3x^{4} }{2y^{4} }[/tex]
Hope this helped and have a good day
What are the coordinates of the vertex of the function f(x) = x2 − 12x + 5?
(6, 31)
(−6, 31)
(6, −31)
(−6, −31)
Answer: (6, -31)
Explanation: See attachment
Please i need it for now PLSSSS
The measure of the other side of a quadrilateral is [tex]3\sqrt{13}[/tex] cm.
In the given quadrilateral one side is unknown we need to find the unknown side.
By dividing the given quadrilateral into a rectangle and a triangle we can find the other side.
What is Pythagoras theorem?The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. That is, [tex]c^{2}=a^{2}+b^{2}[/tex].
Now, [tex]x^{2} =9^{2}+6^{2}=81+36=17[/tex]
⇒[tex]x=\sqrt{13 \times 9} =3\sqrt{13}[/tex]
Therefore, the measure of the other side of a quadrilateral is [tex]3\sqrt{13}[/tex] cm.
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Plsss helppppp I neeed this
Based on the calculations on the bisector of ST, the value of ST are equal to 38 and 30 respectively.
How to find the bisector of ST?In order to determine the bisector of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
For exercise 1, we have:
ST = SM + MT
ST = 19 + 19
ST = 38.
For exercise 2, we have:
First of all, we would determine the value of x as follows;
3x - 6 = x + 8
3x - x = 8 + 6
2x = 14
x = 14/2
x = 7.
ST = SM + MT
ST = 3x - 6 + x + 8
ST = 3(7) - 6 + 7 + 8
ST = 30.
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5. Carla babysits and tutors to make extra money. She babysits for $5 an hour and tutors for $10 an hour.
She can only work at most 15 hours a week. She wants to go on a trip with her friend and needs to
make $95 dollars this week to cover the cost of the trip. Graph a system of linear inequalities that
represents this situation. Using this graph, identify at least one combination of hours that will NOT be a
solution to this system of inequalities.
I
Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
How to graph the inequality?Let x represents hours babysitting and y represents hours tutoring
So, we have:
Earnings = Rate of babysitting * x + Rate of tutoring* y
This gives
Earnings = 5x + 10y
He wants to earn at least $95.
This means that:
5x + 10y ≥ 95
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)
This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
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Rotate the given triangle 90 degrees
CLOCKWISE about the origin.
0
0
07
0
-
-3 -4
0 -3
[?]
The value is [tex]\left[\begin{array}{ccc}0&3&4\\0&7&-1\end{array}\right][/tex]
what is clockwise and counterclockwise?Clockwise Rotations (CW) mimic the path of a clock's hands.
Negative numbers are used to represent these rotations. Counterclockwise rotations (CCW) follow the path of a clock's hands in the opposite direction.
Now, rotating 90 degree clockwise we get
[tex]\left[\begin{array}{ccc}0&3&4\\0&7&-1\end{array}\right][/tex]
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Maite's rent increased by 6%. The increase was $97.8. What was the original amount of Maite's rent? Please show me how to solve it as well please
Answer:
1630
Step-by-step explanation:
In words you are looking for 6% of what number is 97.80, turn that into an Algebra equation .06x = 97.80 so x = 97.80/.06 so x = 1630
can someone please help mee
Answer:
0,5 b
Step-by-step explanation:
Encontrar los valores de x,y,z
The value of the angles x,y, and z is 73 degrees,88 degrees, and 55 degrees.
We have given that,
Two overlapping triangles
Here we have the angle Z and 52
What is the sum of the angle in a triangle?The sum of the all angle in a triangle is 180 degrees.
Therefore we have
The Z+43+52+40=180
Z+125=180
Z=55
Therefore in a triangle degree 52 degrees and 40 degree
y+52+40=180
y+92=180
y=180-92
y=88 degrees
For the angle x, we have
x+15+40+52=180
x+107=180
x=180-107
x=73
The value of the angles x,y, and z is 73 degrees,88 degrees, and 55 degrees.
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If the line segment joining the points A(4, − 5) and B(4, 5) is divided by the point P such that AP/PB = 2/5. find the co-ordinates of P.
Answer:
Step-by-step explanation:
0P=OA+AP
=OA+2/5(AB)
=(4,-5)+2/5(0,10)
=(4,-5)+(0,4)
=(4,-1)
therefore P(4,-1)
square root of x plus 8 end root minus 6 equals x
Answer:
Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.
Step-by-step explanation:
The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.
[√(x + 8)]² = (x + 6)²
x + 8 = x² + 12x + 36
x² + 11x + 28 = 0
x² + 7x + 4x + 28 = 0
(x + 7)(x + 4) = 0
x = -7 and x = -4
The possible values of x are -7 and -4.
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