The green-colored area of the graph attached below shows the solution set to 3eˣ>(-1/2)x.
Inequality is the relationship between two expressions showing the relationships like greater than, lesser than, lesser than equals to, and greater than equals to.
Here assume f is a function which is given by f(x)=3eˣ
and g be another function which is given by g(x)= (-1/2)x
Here we have to find the solution graph showing the relationship
f(x) > g(x)
Let at point (a,b) the f(x) and g(x) meet each other.
After that intersection point, g(x) will decrease as g(x) is a decreasing function. and f(x) will increase.
So in the solution set will contain the area where g(x) is larger than f(x).
Therefore the solution graph of this inequality is the green-colored area as shown below,
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Write 5.54 million in ordinary form
Answer:
5,540,000Step-by-step explanation:
Write 5.54 million in ordinary form
5.54 * [tex]10^{6}[/tex] =
5540000
or
5.54 * 1000000 =
5540000
What is the area of the figure?
Answer:
21.5
Step-by-step explanation:
break the shape down to make two shapes: a triangle and rectangle.
triangle = A=bxh/2
3x5=15/2=7.5
Rectangle = A=bxh
2x7=14
7.5+14= 21.5
Hope this helps :)
Answer:
21.5
Step-by-step explanation:
(all steps provided in image attached)
Solve the system of equations by substitution.
x + y = A system of equations. StartFraction 3 over 8 EndFraction x plus StartFraction one-third EndFraction y equals StartFractions 17 over 24 EndFraction.
x + 7y = 8
(, )
A will have a value of 2. The value of A is found by the substitutional equation system.
What is the system of two equations?A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.
The given equation in the problem is;
Equation 1: [tex]\rm \frac{3}{8} + \frac{1}{3} y= \frac{17}{24}[/tex]
Equation 2: [tex]x+7y=8[/tex]
Rearrange equation 2 as;
x=8-7y
Substitute the value of x;
[tex]\rm \frac{3}{8} + \frac{1}{3} y= \frac{17}{24} \\\\ \frac{3}{8}(8-7y)+\frac{1}{3}y=\frac{17}{24} \\\\ \frac{-21}{8} y+\frac{1}{3} = \frac{17}{24}-3 \\\\ \frac{-63y+8y}{24}=\frac{17-72}{24}\\\\ \frac{-55 \ y}{24} = - \frac{55}{24}\\\\ y= 1[/tex]
Substitute the value of y in equation 2 as;
x+7y=8
x+7(1)+8
x=8-7
x=1
The system of equations by substitution obtained the value of A is;
x + y = A
1+1=A
A=2
Hence the value of A will be 2.
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find the length of each arc and round the answer to the nearest tenth
PLEASE HURRY IF YOU CAN
The length of arc for the options 1,2,3 and 4 willl be 60.39,61.23,10.4 and 7.851 respectively.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
As a result, when measuring angles in radians,
The length of the arc is:
[tex]\rm l = r \theta[/tex]
Unit conversions;
1 π = 180°
1° = 180/π
315°= 5.49 rad
270° = 4.71 rad
60° = 1.04 rad
150°=2.617 rad
The measure of the length of arc for the given radius;
[tex]\rm L_1 = R_1 \theta \\\\ L_1 = 1 \times 5.49 \\\\\ L_1 = 60.39 \\\\ L_2 = 13 \times 4.71 \\\\ L_2 = 61.23 \\\\ L_3 = 10 \times 1.04 \\\\ L_4 = 10.4 \\\\ L_4 = 3 \times 2.617 \\\\ L_4 = 7.851[/tex]
The length of arc for the options1,2,3 and 4 willl be 60.39,61.23,10.4 and 7.851 respectively.
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Hey guys. Need help here
The school basketball team has 15 players. Seven players are more than 74 inches tall, 6 players are taking honors classes, and 5 players are
both more than 74 Inches tall and taking honors classes.
If 2 players are randomly selected from the team, what is the probability that both players are more than 74 Inches tall or taking honors classes?
O A.
64
225
O B.
Oc.
O D
169
225
Answer:
A
Step-by-step explanation:
64
Hey can I have help on this question with an explanation please :)
Step-by-step explanation:
i hope this is helpful!........
Which best describes the orthocenter of a triangle?
O A The point where the three altitudes of the triangle intersect
O B. The point where the three angle bisectors of the triangle intersect
• C. The point where the perpendicular bisectors of the three sides of
the triangle intersect
O D The point where the three medians of the triangle intersect
Answer:
its A
Step-by-step explanation:
Its a because its A =)
What is the gradient of the blue line?
3.) Let t= the number of tomatoes Tye planted last year.
This year she planted 3 times as many. Write an
algebraic expression to show how many tomatoes Tye
planted this year.
Answer:
3t
Step-by-step explanation:
The algebraic expression to show the number of tomatoes Tye planted this year is 3t
How to write the algebraic expression of Tye?From the first statement given in the question, we were told that:
t is the number of tomatoes Tye planted last yearFrom the above statement, we can write the algebraic expression to show the number of tomatoes Tye planted this year. This is shown below:
Number of tomatoes planted last year = tNumber of tomatoes planted this year =?Number of tomatoes planted this year = 3 × Number of tomatoes planted last year
= 3t
Thus, from the above illustration we can say that the algebraic expression is 3t
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For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)
Answer:
-x² + 3x + 7
Step-by-step explanation:
(f-g)(x) = f(x) - g(x) = (3x+1)-(x²-6) = -x² + 3x + 7
The value of (f - g)(x) is -x² + 3x + 7.
What is Function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the given functions are;
f(x) = 3x + 1
g(x) = x² - 6
Now,
(f - g)(x) = f(x) - g(x)
= (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
(f - g)(x) = -x² + 3x + 7
Thus, the value of (f - g)(x) is -x² + 3x + 7.
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NEED HELP ASAP!! In the figure, AC 1 AB and AB 1 BD.
Answer:
d
By the alternate interior angles theorem,
Angles ABD and BAC will be congruentAngles BAD and ABC will be congruentBy the reflexive property, AB is congruent to itself.
Thus, the triangles will be congruent by ASA.
What are the y-intercept and the asymptote of g(x) = 4x – 6?
(0, –5); y = –6
(0, –2); y = –4
(0, 4); y = 6
(0, 6); y = 4
The y-intercept of the line is (0 -6). The given function has no vertical and horizontal asymptotes
y-intercept and asymptotes of an equationA linear equation is an equation that has a leading degree of 1. Given the equation
g(x) = 4x - 6
The y-intercept occurs at a point where x = 0
g(0) = 4(0) - 6
g(0) = -6
Hence the y-intercept of the line is (0 -6)
The given function has no vertical and horizontal asymptotes
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Solve for x ~
[tex] \sf \rightarrow2x + 5x = 14[/tex]
provide explanation
Solution: x=2 ✅
[tex]\searrow[/tex]
⚜Detailed explanation: ⚜
In this problem we need to solve for x, the unknown.
First, note that the terms 2x and 5x have an x in them, so why not add them and make life easier?
[tex]---\mapsto\boldsymbol{2x+5x=14}\\\\---\mapsto\boldsymbol{7x=14}[/tex]
We're getting closer! Now we know that if we multiply 7 times the unknown, we'll get 14. So let's divide both sides by 7! Then we will have the value of the unknown.
[tex]---\mapsto\boldsymbol{x=2}[/tex] is what we obtain upon dividing
Superb, it's ez as winking!
_________________________________________
Voila! There's our solution!
Cheers!! ^-^Hope I helped! Best wishes!
Reach far. Aim high. Dream big.
____________________________________________
please help
PLEASE
Answer:
9:6:10
Step-by-step explanation:
Copper: Zinc: Tin= C:Z:T
C:Z:T
3:2
3:5
3x3=9
3x2=6
5x2=10
so, Copper:Zinc: Tin= 9:6:10
Is this correct? If not then whats the answer?????
(image below)
Answer:
6
Step-by-step explanation:
Mean no. of runs per game =
= Total no. of runs/ total no. of games
= 9+8+4+0+7+6+4+5+9+8 / 10
= 60 / 10
= 6
Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2). Mark this and return
The function is shown to be positive throughout the whole range [-3, -2] in graph (B).
According to the question,
Four alternative graphs representing various functions are supplied to us; our task is to identify the function graph that is positive over the whole range [-3, -2]. A closed interval exists. Therefore, it includes both -3 and -2.The graph of the Y value must be in a positive area during this interval. Therefore, we must choose a function that is positive over the whole range [-3, -2].Looking at the graph, we can see that the graph B has positive y-values in the range [-3, -2].
Hence The function is shown to be positive throughout the whole range [-3, -2] in graph (B).
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a−(−3.75)=6.11
What is a?
Answer:
a = 2.36
Step-by-step explanation:
a-(-3.75)=6.11
The negative 3.75 is being subtracted from the 'a'. A negative number being subtracted from another number makes it positive. So, 3.75 is actually being added to 'a' which is equal to 6.11
I re-wrote the question as:
a + 3.75 = 6.11
Subtract 3.75 from both sides to leave 'a' by itself
a + 3.75 = 6.11
-3.75 -3.75
a = 2.36
What is the distance between the tick marks on the number line?
A number line going from 0 to 2 in increments of 1. There are 5 equals spaces between each number.
One-fifth
One-fourth
4
5
Mark this and return
Answer:
1/5
Step-by-step explanation:
2 units divided into 5 marks each = 10 marks
2/10 = 1/5 unit each mark
For doing a certain a Job
Answer:
added in picture
Step-by-step explanation:
added in picture
Answer:
$71,744.53
Step-by-step explanation:
The earnings triple every day, so you can calculate them for the 15 days. For the total, you also have to add them up.
See the calculations in below picture.
If you can help with this I would be thankful
The inverse of the function will be [tex]f(x) ^{-1}= 2x - 12\\[/tex]. option C is correct.
What is the inverse of a function?Suppose that the given function is
[tex]f:X\rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist),
then, the inverse of the considered function is
[tex]f^{-1}: Y \rightarrow X[/tex]
The function is given as
[tex]f(x) = \dfrac{1}{2} x - 6\\\\[/tex]
The inverse of the function will be
[tex]f(x) ^{-1}= 2x - 12\\[/tex]
Therefore, option C is correct.
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what it the answer to 1 ÷ 4 1/2=
Answer:
2/9 or 0.22222
Step-by-step explanation:
A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Tariq designed the pool shown. The owner of the pool has one square cover to use. Find the area of the space that needs to be covered. (The four corners are squares.)
The area that needs to be covered is
ft2.
A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Find the Area of the Space.[tex] \mathbb{SOLUTION:} [/tex][tex] \bold{A = Length \: x \: Width} [/tex][tex] \bold{A = 12 \: ft \: x \: 4.2 \: ft } [/tex][tex] \blue{\bold{A = 50.4 \: ft} }[/tex][tex] \bold{ A\red{ = 50.4 } \: x \: 2 \: ft} [/tex][tex] \boxed{ \bold{ A = 100.80 ft²}}[/tex]"If the 2 is quantity use multiply it again"
••••••••••••••••••••••••••••••••••••••••••••••••NOTE:The way to solve a square area is by measuring the length and width of your area then multiplying those two numbers together to get the area in feet squared (ft2).
"Problem has been solve"
(ノ^_^)ノ
[tex]\large\bold{SOLUTION} \\ [/tex]
GIVEN :-
A square with side lengths 12 feet.4.2 feet by 2 feet squares are cut out of each corner of the square .FIND :-
Find the area of the space that needs to be covered .By finding the area of the space that needs to be covered we must use multiplication and multiply the given measurements .
[tex] \bold{Formula:}[/tex]
[tex] \qquad \boxed{ \bold{ \: \: Area = Length \times Width \: \: }}[/tex]
Now let's start solving :-
[tex] \quad \sf \implies{Area = Length \times Width} \\ [/tex]
[tex] \quad \sf \implies{Area = 12ft \times 4.2ft} \\ [/tex]
[tex] \quad \sf \implies{Area = 12feet \times 4.2ft = \pmb{50.4 ft}} \\ [/tex]
[tex] \quad \sf \implies{Area = 50.4ft \times 2ft = \pmb{100.80ft^2}} \\ [/tex]
Therefore, the area of the space that needs to be covered is 100.80ft² .
[tex] \underline{ \rule{185pt}{3pt}}[/tex]
The Johnsons’ new swimming pool measures 3x^2-2x+1 ft in length and x+2 ft in width. What is the area of the new swimming pool, in square feet?
Answer:
[tex]3x^3 + 4x^2 -3x + 2[/tex]
Step-by-step explanation:
The area of the swimming pool will be equal to [tex]length * width[/tex].
We know that the length is [tex]3x^2-2x+1[/tex] and the width is [tex]x+2[/tex].
Therefore we can substitute those into the equation:
[tex](3x^2-2x+1)(x+2)\\[/tex]
Then, we expand the brackets using a grid (attached).
After this, we collect like terms to find the final answer:
[tex]3x^3+6x^2-2x^2-4x+x+2\\3x^3 + 4x^2 -3x + 2[/tex]
Our final answer is: [tex]3x^3 + 4x^2 -3x + 2[/tex]
Point C is the center of the circle.
Options to the second answer are
A. One-half the measure of angle C
B. Not related to the measure of angle C
C. The complement of angle C
D. Equal to the measure of angle C
Answer:
D
Step-by-step explanation:
Because.............
Find the slope of segment CD if C is (12, 4) and D is (6,2). (if answer is not a whole number, give a simplified fraction using "" and if the
answer is negative, put the negative sign first; for example you would write-1/2, not 1/-2) Type your answer in Blank 1
Blank 1:
Answer: 1/3 (if you have other questions like these you can use a slope calculator)
Measure the height of the palm tree indirectly using a mirror that is placed on the ground a certain distance away from the tree. The distance from the
mirror to the base of the palm tree is 2.5 m and the distance from the mirror to the person's foot is 0.5 m. The person is 1.78 m tall.
Answer:
(b) 8.9 m
Step-by-step explanation:
The mirror ensures that angle 1 is congruent to angle 2, so the triangles in the diagram are similar. The ratios of height to mirror distance are proportional.
__
setupThe height of the object is proportional to its distance from the mirror, so we have ...
(tree height)/(tree-to-mirror) = (person height)/(person-to-mirror)
(tree height)/(2.5 m) = (1.78 m)/(0.5 m)
solutionMultiplying this proportion by 2.5 m, we find ...
tree height = (2.5 m)(1.78/0.5) = 8.9 m
The height of the palm tree is 8.9 meters.
1/(x+2)+1/(x+3)=2/x+9
Answer:
4x82x929wjdjdejdjekke
[tex] \frac{1}{x + 2} + \frac{1}{x + 3} = \frac{2}{x + 9 } \\ \frac{(x + 3 ) + (x + 2)}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ \frac{2x + 5}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ 2( {x}^{2} + 5x + 6) = (x + 9)(2x + 5) \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 5x + 18x + 45 \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 23x + 45 \\ 2 {x}^{2} - 2 {x}^{2} + 10x - 23x + 12 - 45 = 0 \\ - 13x - 33 = 0 \\ - 13x = 33 \\ x = \frac{33}{ - 13} \\ x = - 2.54[/tex]
Hope it helps
Please give brainliest
Which classification describes the following system of equations?
12x+5y-3z= 36
x-2y+4z=3
9x-10y+5z = 27
A consistent and independent system of equations describes the given system of equations.
The consistent and independent system of equations are given below.
12x+5y-3z= 36x-2y+4z=39x-10y+5z = 27What is a consistent independent equation?A consistent equation is a system of linear equations that is consistently unbiased when it has precisely one solution. While this is the case, the graphs of the lines within the system move at exactly one point. In inconsistent, a system of linear equations is inconsistent if it has no solutions.
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Solve the equations for the given variable. Then place the equations in the table under the correct solution
Placing the equations under the correct solution, we get
x = 3 x ≠ 3
-14x = -42 -5 + x = -9
[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex] [tex]\frac{x}{3} =9[/tex]
[tex]\frac{x}{4} =\frac{6}{8}[/tex]
x -5 = -2
Solving Linear EquationsFrom the question, we are to place the equations under the correct solution
To do this, we will solve the equations one after the other
-14x = -42x = -42/-14
x = 3
-5 + x = -9x = -9 + 5
x = -4
∴ x ≠ 3
[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex][tex]x = \frac{12}{5} +\frac{3}{5}[/tex]
[tex]x = \frac{12+3}{5}[/tex]
[tex]x = \frac{15}{5}[/tex]
x = 3
[tex]\frac{x}{4} =\frac{6}{8}[/tex][tex]x=\frac{6\times 4}{8}[/tex]
[tex]x=\frac{24}{8}[/tex]
x = 3
[tex]\frac{x}{3} =9[/tex]x = 3 × 9
x = 27
∴ x ≠ 3
x -5 = -2x = -2 + 5
x = 3
Hence, placing the equations under the correct solution, we get
x = 3 x ≠ 3
-14x = -42 -5 + x = -9
[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex] [tex]\frac{x}{3} =9[/tex]
[tex]\frac{x}{4} =\frac{6}{8}[/tex]
x -5 = -2
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