Express the function graphed on the axes below as a piecewise funcntion
Step-by-step explanation:
remember that empty dots mean "exclusive", and dark, filled dots mean "inclusive".
then, regular line functions look like
y = ax + b
with a being the slope (ratio of y/x indicating how much y changes, when x changes), b being the y-intercept (y-value when x = 0).
the left part is simply a line parallel to the x-axis. the slope is 0, as the line is not climbing or declining.
so, it is simply
y = 4
the right part is a line going from (0, 5) to (6, 8).
x changes by +6 (from 0 to 6), y changes by +3 (from 5 to 8). so, the slope is 3/6 = 1/2
and with the starting point at the y-axis we have also the y-intercept.
so, the line equation there is
y = (1/2)x + 5
now together with the proper intervals of validity :
y = 4, -6 < x < 0
y = (1/2)x + 5, 0 < x <= 6
Factorize 2^x+7 + 2^x+6
Answer:
Step-by-step explanation:
[tex]2^{(x+ 7)} + 2^{(x+ 6 )} = 2^{x} * 2^{7} + 2^{x}*2^{6}\\\\=2^{x} *(2^{7} + 2^{6})[/tex]
[tex]= 2^{x} * 2^{6} ( 2+ 1)\\\\= 2^{x} * 2^{6} * 3[/tex]
Solve for x.
Angle c: 38 degrees.
Angle d. 6x + 6
Angle e. x
Extending angle. 9x + 11
Answer:x is 52 and y is 38.
Step-by-step explanation:
x+128=180
x=52
52+y=90
y=38
What is y= 3x +4 on a graph
y = 3x +4
3 is the slope. Rise 3 run 1 or up 3 right 1.
4 is the y-intercept
(2x+y)2-y2 if x=-3 y=4 and z=-5
the graph shown here is the graph of which of the following rational functions?
a. f(x)= 1/x-1
b. f(x)= 1/x
c. f(x)= 1/x+1
Answer:
A
Explanation:
when A's function has x=1, the denominator would be 0, producing an asymptote. Looking at the function, there is an asymptote at x=1, which means it matches A.
...............................
Answer:cool
Step-by-step explanation:
Answer:
awesome
Step-by-step explanation:
-x = 3
HELP ASAP MATHEMATICS
Answer:
x = -3
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
You can just do +x on both sides so: 0=3+x and then -3 on both sides: -3=x.
Henry and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that makes it in. Henry starts with 15 points, and his little brother starts with 20 points. Henry gets 3 points for every successful shot, and his brother, since he is younger, gets 2 points for each successful shot. Eventually, the brothers will have a tied score in the game. How many additional shots will each brother have made?
Write a system of equations, graph them, and type the solution.
Answer:
After 5 additional shots, the brothers will have a tied score.
Step-by-step explanation:
find equations
henry:
y-int is 15 because that is the starting number. the slope is 3 because that is how much his points are increasing for every successful shot. we can use this information to form this equation:
y = 3x + 15
brother:
y-int is 20 because that is the starting number. slope is 3 because that is how many points he gets for each successful shot. using this information, we can form the following equation:
y = 2x + 20
--
solve
y = 3x + 15
y = 2x + 20
3x + 15 = 2x + 20
x + 15 = 20
x = 5
--
graph
(just use desmos)
7th grade mathematics
Answer: C 6 1/4
Step-by-step explanation:
2 1/2 % 2/5 = 25/4 = 6 1/4
the branilst answer will receive a brainly +10 points
please justify answer
Answer:
D
Step-by-step explanation:
soda= $2=s
chips=$2.40=d
money=$48=y
y >= 12s + 2.40d
y>=12(2) + 8(2.4)
y>=24 + 19.2
y>= 43.2
$48 > $43.2 so D is a possible combination
HELP ME PLEASE RNNN FASTTT
Answer:
The first three are functions
Step-by-step explanation:
4th one fails the Vertical line test.
Pls help need asap stressing need in 10 mins I will mark as brainliest !! :(
Answer:
C or the min of f(x) is greater
Step-by-step explanation:
2,8 is the vertex which higher than the vertex of g(x)
Profit is revenue minus cost. Find the profit if the cost of producing x units of a commodity is
130+25x and the revenue for selling them is x(88-X).
Answer:
[tex]-x^2+63x-130[/tex]
Step-by-step explanation:
When you put that into an equation:
[tex]x(88-x)-(130+25x)[/tex]
Next, solve.
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]
[tex]-\left(130+25x\right)=-130-25x[/tex]
[tex]=x\left(88-x\right)-130-25x[/tex]
[tex]x(88-x):88x-x^2[/tex]
[tex]=88x-x^2-130-25x[/tex]
[tex]88x-x^2-130-25x =-x^2+63x-130[/tex]
Therefore, the profit if the cost of producing [tex]x[/tex] units is [tex]-x^2+63x-130[/tex], and there may be restrictions depending on conditions.
6 bananas cost the same as 4 oranges. 3 lemons cost the same as 1 orange. 2 limes cost the same as 1 lemon. How many limes cost the same as 1 banana?
If 6 bananas cost the same as 4 oranges. 3 lemons cost the same as 1 orange, one lime costs the same as half of one banana.
Let's assume the cost of one banana is represented by "B" and the cost of one orange is represented by "O". Based on the given information:
6 bananas cost the same as 4 oranges: 6B = 4O
3 lemons cost the same as 1 orange: 3L = 1O
2 limes cost the same as 1 lemon: 2L = 1O
Now, we need to find the cost of one lime in terms of bananas:
From equation 3, we can rewrite it as: L = (1/2)O
Substitute the value of O from equation 2 into the above equation: L = (1/2) * 3L
Now, we have the cost of one lime in terms of lemons. From equation 2, we know 3 lemons cost the same as 1 orange, so we can rewrite it as: L = (1/2) * (1/3)O
Now, substitute the value of O from equation 1 into the above equation: L = (1/2) * (1/3) * 6B
L = (1/2)B
Therefore, one lime costs the same as half of one banana.
To learn more about proportion click on,
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-2.3z = -13.8
I need to show work lol
Here are your answers.
it's made by computer.
- BRAINLIEST answerer
Answer:
z = 6
Step-by-step explanation:
- 2.3z = - 13.8 ( divide both sides by - 2.3 )
z = [tex]\frac{-13.8}{-2.3}[/tex] = 6
Why do you think it is an issue to have college costs rising without a corresponding rise in household income?
Answer:
College cost will increase until the person without a corresponding rise in household income can’t afford it.
Step-by-step explanation:
In a company, 90% of the workers are . If 480 work for the company who aren't , how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answer:
4720
Step-by-step explanation:
got it from here so should be right.
please help- algebra 2
Answer: -10
Step-by-step explanation:
When you plug in 0 for f(x) you get 0-0-12 which is -12. When you plug in 0 for g(x) you get 0+2 which is 2. When you do -12+2 you get -10.
fill in the blank with the letter of the description that best matches the term for the verb porter, match the subject pronoun with the correct form of the verb. i'll mark Brainliest if the answers are correct.
A. portons
B. porte
C. portez
D. portes
E. portent
FILL IN THE BLANK
je ____
tu ____
nous ____
vous ____
ils ____
Step-by-step explanation:
je........porte
tu.......portes
nous.......portons
vous........portez
ils......portent
What type of angle are 2 and 6?
Answer:
CORRESPONDING ANGLES
Step-by-step explanation:
Answer:
Corresponding angles i believe.
Step-by-step explanation:
Use the information given to find the equation of the line using the point-slope formula (y-y_1)=m(x-x_1)). Then convert your answer to slope-intercept form (y=mx+b).
y-intercept of 2 and (4,-1)
If it's possible please a explanation on how you solved it.
Answer:
y=[tex]-\frac{3}{4}[/tex]x+2
Step-by-step explanation:
y=sx+2;
-1=4s+2;
s=-3/4;
y=[tex]-\frac{3}{4}[/tex]x+2
2 . 3² - 1 = blank please hurry up and help
1/2 divided by (-3) please help
Answer:
-1/6
Step-by-step explanation:
apply fraction rule to get 1/2(-3)
Multiply the numbers to get 1/-6
apply fraction rule to move negative to make
-1/6
1/2 divided by (-3) = -1/6 or -0.1666666667.
please please help me
Answer:
D
Step-by-step explanation:
Used calculator and got 0.0782776601
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
______
[tex] \: [/tex]
[tex] \tt5 - 6x = 8x + 17[/tex]
[tex] \longmapsto \tt \: x = \frac{5 - 17}{ - 6 + 8} [/tex]
[tex] \longmapsto \tt \: x = \frac{ - 12}{8 - 6} [/tex]
[tex] \longmapsto \tt \: x = \frac{ - 12}{ 2} [/tex]
[tex] \longmapsto \tt \: x = \boxed{ \blue{ - 6}}[/tex]
3x - 5 = 7x + 11
x =
Answer:
[tex]3x - 5 = 7x + 11 \\ 7x - 3x = - 11 - 5 \\ 4x = - 16 \\x = - \frac{16}{4} \\ \color{yellow} \boxed{x =-4}[/tex]
Answer:
x= -4
Step-by-step explanation:
3x-5=7x+11
3x-5+5=7x+11+5
3x=7x+11+5
3x=7x+16
3x-7x=7x+16-7x
-4=7x+16-7x
-4x=16
divided each side by -4
x= 16 over -4
divide them and you get -4.
A classroom has 12 girls for every 4 boys. What is the ratio of boys to total students?
Question 7 options:
4 : 16
12 : 4
4 : 12
12 : 16
Answer:
I don't understand please elaborate more your given question.
Step-by-step explanation:
Answer all of the following questions. 3 Points a question. ALSO NO LINKS!
Is 2 a prime number?
Is 3 a prime number?
Is 11 a prime number?
Is 18 a prime number?
Is 20 a prime number?
Is 27 a prime number?
Answer:
no
yes
yes
no
no
yes
Step-by-step explanation:
a prime number cant be devided by any thing other than itself or one
Answer:
Step-by-step explanation:
Is 2 is 3 is 11 is 18 is 20 is 27
Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°, what is the degree measurement of angle B′?
Group of answer choices
20°
70°
90°
180°
Answer:
20°
Step-by-step explanation:
Rotation is one of 3 basic rigid transformation, it will not change the original shape and size. Therefore angle B' should be still 20°
The degree measurement of angle B′ will be same as angle B that is 20°. Then the correct option is A.
What is a transformation of a shape?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.
From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
If the geometry is rotated, then there is no change in anlges.
Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°.
The degree measurement of angle B′ will be same as angle B that is 20°.
Then the correct option is A.
More about the transformation of the shape link is given below.
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