Given:
Consider the below figure attached with this question.
To find:
The value of [tex](f+g)(x)[/tex].
Solution:
The given functions are:
[tex]f(x)=|x|+9[/tex]
[tex]g(x)=-6[/tex]
Now,
[tex](f+g)(x)=f(x)+g(x)[/tex]
[tex](f+g)(x)=|x|+9+(-6)[/tex]
[tex](f+g)(x)=|x|+9-6[/tex]
[tex](f+g)(x)=|x|+3[/tex]
We know that,
[tex]|x|\geq 0[/tex]
Adding 3 on both sides, we get
[tex]|x|+3\geq 0+3[/tex]
[tex](f+g)(x)\geq 3[/tex]
So, [tex](f+g)(x)\geq 3[/tex] for all values of x.
Hence, the correct option is A.
Which equation is equivalent to
y-1= 5(x+2) ?
Step-by-step explanation:
We can simply by opening the brackets ,
=> y - 1 = 5( x - 2 )
=> y - 1 = 5x - 10
=> y - 5x = -9
=> 5x - y + 9 = 0
The numbers below represent side lengths of various triangles. Which of the triangles are right triangle?
1. 5, 6, 9 A. Right triangle
2. 9, 11, 13 B. Not a right triangle
3. 20, 21, 29
4. 7, 24, 25
5. 9, 40, 41
Answer:
Step-by-step explanation:
Number 5
Solve the system of equations by substitution. Simplify your answer. Write the
solution as an ordered pair.
y= 3x - 13
3x + 2y = 19
Answer:
x = 5 y = 2
Step-by-step explanation:
3x + 2(3x - 13) = 19
3x + 6x - 26 = 19
9x = 45
x = 5
y = 3(5) - 13
y = 15 - 13
y = 2
ILL GIVE BRAINLIEST IF ANSWERED GOOD. DUE IN AN HOUR.. Write a quadratic equation that is the same width as y = -2x^2+ x + 1.
Answer:
The answer is:
y=-2x+2+x+1
y=_2x+x+2+1
y=x+3
Hope it helps
De 1.620 trabajadores de una empresa textil 7/9 trabajan en confeccion y el resto en tareas administrativas. ¿cuantos trabajadores trabajan en confeccion?
Answer:
The number of employees work in clothing is 1260.
Step-by-step explanation:
Out of 1,620 workers in a 7/9 textile company work in clothing and the rest in administrative tasks. How many workers work in clothing?
Total workers = 1620
employees works for clothing = 7/9
So, the number of employees = 7/9 x 1620 = 1260
Usando la informacion dada, veremos que el número de trabajadores que trabajan en confección es 1,260.
Sabemos que hay un total de 1,620 trabajadores en la empesa textil.
7/9 de ellos trabajan en confección.
Queremos ver el número de trabajadores que trabaja en confección, para ello, simplemente debemos multiplicar la fracción del número total que trabaja en confección por el número total, es decir:
N = (7/9)*1,620 = 1,260
1,260 trabajadores trabajan en confección.
sí quieres aprender más, puedes leer:
https://brainly.com/question/12668006
Need help ASAP thanks
Answer:
B 15 has to be the answer i think but ion fully know
Answer:
b 15%
Step-by-step explanation:
WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.
Answer:
[tex]y=\frac{6}{5}x-5[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the two given points (0,-5) and (5,1)
[tex]m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}[/tex]
Therefore, the slope of the line is [tex]\frac{6}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{6}{5}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{6}{5}x+b[/tex]
On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:
[tex]y=\frac{6}{5}x-5[/tex]
I hope this helps!
Answer:
y = 6/5x - 5
Step-by-step explanation:
To find the equation of a linear line you need 2 things: the slope and the y-intercept.
The slope can be found by taking two points and dividing the change in y by the change in x. Using the two points highlighted, the slope would be (1 - -5)/(5-0) = 6/5.
The y-intercept is where the line crosses the y-axis, which on this line is at -5. Then plug in this information into point slope form, y = mx + b, where m is the slope.
So you get y = 6/5x - 5.
Here is standard form too if you need this instead: 6x - 5y = 25
How do you find the angle using a protractor
Answer:
Place the midpoint of the protractor on the VERTEX of the angle.
Line up one side of the angle with the zero line of the protractor (where you see the number 0).
Read the degrees where the other side crosses the number scale.
Step-by-step explanation:
Hope this helps!! :))
PLS HELP Find the value of x.
A. 30
B. 15
C. 45
D. 6
Answer:
B.
[tex](3x - 15) -(45 - x) = 0 \\ 4x -60 = 0 \\ 4x = 60 \\ x = 15[/tex]
I need help finding the solution
Answer:
170°
Step-by-step explanation:
The total degrees of a circle is 360°. So the math is pretty straight forward.
130 + 60 = 190 (First you find what the known degrees are together)
360 - 190 = 170 (Next you take that added total and subtract it from 360)
x = 170 (And there you go! Your answer!)
I hope this helped :)
can u help me part 3..
Change the units up above to the correct answer from (a) to (d)
Answer:
Step-by-step explanation:
1 cm = 10 mm
a) 0.1 cm = 1 mm
1 mm = 1000 m
b) 25000mm = 25 m
1 g = 0.001 kg
c) 7g = 0.007 kg
1ml = 0.000001
d) 30000ml = 0.03 kl
The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x=0 representing the year 2000, the graph below models this scenario.
A coordinate plane showing Newspaper Circulation, Years Since 2000 on the x-axis and Circulation on the y-axis. A line starting at (0, 80,000), passing through a point at (10, 50,000) and ending at (18, 25,000).
What number will complete the point-slope equation that models this scenario?
y−50,000=[_______](x−10)
−3,000
−2,000
2,000
3,000
Answer:
-3,000
Step-by-step explanation:
got it correct on edg
Answer:
-3000
Step-by-step explanation:
Right on edge 2021
What are the coordinates of the point on the directed line segment from (1,−6) to (8,8) that partitions the segment into a ratio of 4 to 3?
The coordinate of the point on the directed line segment that partitions the segment into a ratio of 4 to 3 is (29/7,50/7)
How to determine the coordinate at the partition?The given parameters are:
A = (-1,6)
B = (8,8)
Ratio, m : n = 4 : 3
The coordinate at the partition is calculated using:
[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]
So, we have:
[tex](x,y) = \frac{1}{4 + 3} * (4 * 8 + 3 * -1,4 *8 + 3 * 6)[/tex]
Evaluate
[tex](x,y) = \frac{1}{7} * (29,50)[/tex]
Evaluate the product
(x,y) = (29/7,50/7)
Hence, the coordinate of the point is (29/7,50/7)
Read more about line partition at:
https://brainly.com/question/12959377
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Answer the questions please and no links
Answer:
3. would be one above the negative 5
4. 3 up from positive 4
5. would be on the negative 2
write the letters on those points respectively.
(4x^2+3x −5)+(x^2 −7x+10)
Answer:
[tex]5x^{2} -4x +5[/tex]
Step-by-step explanation:
please help with the question above!!
Answer:
5
Step-by-step explanation:
1+2+2+3+3+3+4+5+6+6+7+7
+7+8+9 = 73
73/15 = 4.86667
you add all the numbers and divide by how many numbers there were.
so round it up and it should be 5.
Please I need help The original price of a car was reduced by $3000. Its discount price is now 16000
Answer:
$19,000
Step-by-step explanation:
The original or initial price of the car = discount price + amount by which the car was reduced
$16,000 + $3000 = $19,000
The percentage decrease in price = (amount discounted / original price) x 100
( $3000 / $19,000) x 100 = 15.79%
La velocidad maxima permitida en una autopista es de 120km/h. Se considera infraccion si se sobrepasa segun al rodar el 12% de esa velocidad. A que velocidad como minimo iba un conductor que cometio una infraccion
Answer:
La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:
134.5 Km/hO si se desea un número entero:
135 Km/hStep-by-step explanation:
Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:
Velocidad Máxima Permitida: 120 Km/hCausa de infracción: Sobrepasar el 12% de la velocidad máxima.Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:
Velocidad límite antes de la infracción = 120 Km/h + (120 Km/h * 12%)Velocidad límite antes de la infracción = 120 Km/h + 14.4 Km/hVelocidad límite antes de la infracción = 134.4 Km/hCómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.
A baseball is thrown straight up in the air with an
initial velocity of 128 feet per second from a point
exactly 4 feet off the ground.
Write the function for the height of this object at any
time (t seconds)
Answer:
Step-by-step explanation:
[tex]h(t)=-16t^2+v_0t+h_0[/tex] where
h(t) is the height of the ball after a certain amount of time has gone by,
-16t² is the pull of gravity in ft/s/s,
v₀t is the initial upwards velocity, and
h₀ is the height from which the ball was initially thrown. Our equation is then, filling in the info in the correct places:
[tex]h(t)=-16t^2+128t+4[/tex] where 128 is the given initial velocity and 4 is the number of feet from which the ball was initially launched.
(2sin60°)(3tan60°)—(4tan45°)(2cos45°)
Answer:
[tex]9 - 4\sqrt{2}[/tex]
Step-by-step explanation:
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]
tan60° = [tex]\sqrt{3}[/tex]
tan45° = 1
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex]
(2sin60°)(3tan60°) - (4tan45°)(2cos45°)
now substitute the values of each trigonometrical angles
[tex](2*\frac{\sqrt{3} }{2} )(3*\sqrt{3} ) - (4*1)(2*\frac{1}{\sqrt{2} } )[/tex]
[tex]\sqrt{3} * (3\sqrt{3}) - 4*(\frac{2}{\sqrt{2} } )[/tex]
[tex]3*3 - 4*\frac{2}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }[/tex]
[tex]9 - 4 *\frac{2\sqrt{2} }{2}[/tex]
[tex]9 - 4 * \sqrt{2}[/tex]
[tex]9 - 4\sqrt{2}[/tex]
In a two-digit number, the units digit is twice the tens digit. If the number is doubled
it will be 9 more than the number reversed. Find the number.
T=Tens
U=Unit
From the question... The Unit digit is twice the Tens digit
Let the Number be xy
Meaning
y is the unit number
x is the tenth Number
Can be inferred for the question that
y=2x ...........(i)
Also
If the Number is doubled x2(times 2)
"It'll be 9more than the reversed"
Now listen
if you want to express a 2digit Number...
Let's say 45...
It can be expressed as 10x4 + 5 = 45
or
66 can be expressed as 10x6 + 6 = 66
So
It'd be better if we express this our unknown number like that too
So
Let's express "xy" like "10x + y"
Hope you grab?
Now from the second statement of the question..
If The Number is doubled...It'll be 9 more than the reversed
What is the reverse of that Number??
The reverse would be "10y + x"
You can see that x and y switched places.
so
The statement said...
2(10x + y) + 9 = 10y + x (reversed)
20x + 2y + 9 =10y + x ........(ii)
Recall from our first eqn
y=2x
Now substitute y=2x into eqn ii
20x + 2(2x) + 9 = 10(2x) + x
20x + 4x +9 = 20x + x
20x - 20x + 4x - x = -9
3x = -9
x=-3
y=2x
y=2(-3)
y=-6
So The Number is 10x + y
= 10(-3) + (-6)
=-30-6
=-36
This answer obeyed the first part of the question because the unit is twice digit(2x3)
Let's check if it obeyed the second part
2[(10(-3) + (-6)] + 9 = 10(-6) + (-3)
2(-30-6) + 9 = -60-3
-63=-63
The 2nd part is also true.
So
Our Number is -36.
I'm Open to corrections if you spot any.
UERGENT!!!!!!
Find the values of x and y
5x - 17 = 48
5x − 17 + 17 = 48 + 17
5x = 65
x = 13
180 - 48 = 132
y = 132
If i get 3486.25 points out of 4175 total amount of points, what would be my grade
The answer would be about 85.5%
Answer:
It would be B
Step-by-step explanation:
if you divide 3486.25 divided by 4175 it will equal 0.83 which equal 83% it can be ethier a B or a B-
Mark as braainllest if it helps!!!
help with question please
Answer:
i dont know
Step-by-step explanation:
HELPPP PLEASE!!!!!!!!!!
Multiply the following using the vertical multiplication method 3x2 - 5x +1 XX + 2x + 4 O A. 3x4 + x2 +10x7 - 18x + 4 O B. 3x4 +x+3x2 - 18x + 4 O C. 3x4 + x + 10x2 + x + 4 O D. 3x4 D. 3x4 - x2 + 3x2 + 18x + 4
Answer:
ANSWER
C.
3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x
4
−x
3
+3x
2
+18x+4
EXPLANATION
We want to multiply;
(3 {x}^{2} + 5x + 1)( {x}^{2} - 2x + 4)(3x
2
+5x+1)(x
2
−2x+4)
We use the distributive property to obtain:
3 {x}^{2} ( {x}^{2} - 2x + 4) + 5x( {x}^{2} - 2x + 4) + 1( {x}^{2} - 2x + 4)3x
2
(x
2
−2x+4)+5x(x
2
−2x+4)+1(x
2
−2x+4)
We expand to get:
3 {x}^{4} - 6 {x}^{3} + 12 {x}^{2} + 5 {x}^{3} - 10 {x}^{2} + 20x + {x}^{2} - 2x + 43x
4
−6x
3
+12x
2
+5x
3
−10x
2
+20x+x
2
−2x+4
Regroup similar terms:
3 {x}^{4} - 6 {x}^{3} + 5 {x}^{3} + 12 {x}^{2} - 10 {x}^{2} + {x}^{2} + 20x - 2x + 43x
4
−6x
3
+5x
3
+12x
2
−10x
2
+x
2
+20x−2x+4
Combine similar terms:
3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x
4
−x
3
+3x
2
+18x+4
The correct choice is C.
The midpoint of segment AB is (6,5). The coordinates of point A are (7,10). Find the coordinates of point B.
Answer options: (5,10) (8,15) (-3,7)
Step-by-step explanation:
none of the options is correct
the answer is (5,0)
Answer:
option 2 : ( 8 , 15 )
Step-by-step explanation:
A ( 6 , 5 )
Mid point ( 7, 10)
B ( x , y )
x coordinate of B
[tex]Mid point = \frac{6 + x }{2}\\\\7 = \frac{6 +x }{2}\\\\7 \times 2 = 6+x\\\\14 - 6= x\\\\8 = x[/tex]
y coordinate of B
[tex]midpoint = \frac{y +5 }{2}\\\\10 = \frac{y +5 }{2}\\\\10 \times 2 = y + 5\\\\20 - 5 = y \\\\15 = y[/tex]
B = ( 8 , 15)
(please help) What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions into ratio of 1 to 2?
Answer:
P(-5,-3)
Step-by-step explanation:
directed line segment AB where
A(-10,-5) and B(5,1)
Vector of segment AB = B-A = <15,6>
Add one third of the vector length to A to get the partition point, P
A(-10,-5) + <15,6>/3 =A(-10,-5)+<5,2> = P(-5,-3)
Erin's jewelry box is in the shape of a rectangular prism. The measurements of the jewelry box are length 5 in, width 10 in, and height 3 in. What is the surface area of Erin's jewelry box?
Answer:
190 square inches
Step-by-step explanation:
Surface area of a rectangular prism formula is given as
2(LW + LH + WH)
Where
L = Length = 5in
H = Height = 3in
W = Width = 10in
Hence:
Surface area = 2(5 × 10 + 5 × 3 + 3 × 10) square inches
= 2 × (50 + 15 + 30) square inches
= 2 × (95) square inches
= 190 square inches
Therefore, the surface area of Erin's jewelry box is 190 square inches