Answer and Step-by-step explanation:
Solution:
Range:
Let f(x) = -x-1
Here a=0 and b= -1, x=-b/a
Put the values, we get
X= - (-1)/0 = infinity
Hence the range of the function f(x) = (-∞, ∞)
Injective:
A function is said to be injective if f(x1) = f(x2), gives x1=x2
Let f(x1) = -x1-1
f(x2) = -x2-1
f(x1) = f(x2)
Simplifying a Fraction Expression
2/3 divided by (-4) - ( 1/6 - 8/6)
Answer:
Step-by-step explanation:
2/3 x -1/4 + 9/6)
-2/12 + 9/6
-1/6 + 8/6 = 7/6 = 1 1/6
Una planta procesadora de alimentos desea producir 1000 litros de salsa de tomate con 30%de azúcar. Si tienen una salsa con 25% de azúcar y otra con 45%, ¿qué cantidad de cada clase de salsa deben emplear?
Answer: Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.
Step-by-step explanation:
Lo que tiene la planta es:
Una salsa con 25% de azúcar
Una salsa con 45% de azúcar.
Vamos a definir dos cantidades, A y B.
A es la cantidad de salsa con 25% de azúcar usada, y B es la cantidad de salsa con 45% de azúcar usada.
Como queremos producir 1000 litros de salsa, tenemos la ecuación:
A + B = 1000 L
Ahora, queremos que el producto final tenga 30% de azúcar.
El porcentaje de azúcar se define como:
(Cantidad de azúcar/Cantidad total de salsa)*100%.
Ahora, si la cantidad A tiene 25% de azúcar, entonces la cantidad total de azúcar es:
0.25*A
Y la cantidad B tiene 45% de azúcar, entonces acá la cantidad es:
0.45*B
Entonces cuando los mezclamos, la cantidad total de azúcar es:
(0.25*A + 0.45*B)
Y usando la formula de arriba, tenemos que:
100%*(0.25*A + 0.45*B)/(A + B) = 30%
Ahora divido ambos lados por 100%.
(0.25*A + 0.45*B)/(A + B) = 0.30
Entonces tenemos un sistema de dos ecuaciones:
A + B = 1000 L
(0.25*A + 0.45*B)/(A + B) = 0.30
El primer paso es aislar una de las variables en una de las ecuaciones, en este caso voy a aislar A en la primer ecuación:
A = 1000L - B
Ahora puedo reemplazar esto en la segunda ecuación:
(0.25(1000L - B) + 0.45*B)/(1000L - B + B) = 0.30
Y ahora lo resolvemos para B.
(250 L - 0.25*B + 0.45*B)/1000L = 0.30
250L + 0.20*B = 0.35*1000L = 300L
0.20*B = 300L - 250L = 50L
B = 50L/0.2 = 250L
Entonces:
A = 1000L - 250L = 750L.
Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.
Is - 6/5 rational or irrational?
Answer:
lt is rational number .
Una piscina rectangular de 15 metros de largo por 9 metros de ancho està rodeada por un
camino de cemento de ancho uniforme. Si el área del camino es 112 metros cuadrados, ¿cuánto
mide su ancho?
Answer: 2 meters.
Step-by-step explanation:
Let w = width of the cement path.
Dimensions of pool : Length = 15 meters , width = 9 meters
Area of pool = length x width = 15 x 9 = 135 square meters
Along width cement path, the length of region = [tex]2w+15[/tex]
width = [tex]2w+9[/tex]
Area of road with pool = [tex](2w+15) (2w+9)[/tex]
[tex]= 4w^2+30w+18w+135\\\\=4w^2+48w+135[/tex]
Area of road = (Area of road with pool ) -(area of pool)
[tex]\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2[/tex]
width cannot be negative, so w=2 meters
Hence, the width of the road = 2 meters.
3. Starting from his house, Reid rode his bike 300 m to the north, then 100 m to the east.
Which of the following vector diagrams shows Reid's path? (Note: The height and width of each
square in the grids is 100 m.)
Answer:
The answer would be South x
Step-by-step explanation:
–4.5t49.5t = 40
Please help
Answer:
t= -0.18
Step-by-step explanation:
Isolate t to get the unknown number:
(-4.5t)(49.5t) = 40
Multiply (-4.5t)(49.5t):
(-4.5t)(49.5t) = -222.75t
Now, write full equation:
-222.75t = 40
Isolate t by dividing -222.75 on both sides:
[tex]\frac{-222.75}{-222.75}t=\frac{40}{-222.75}[/tex]
Cancel out left hand side:
[tex]t=\frac{40}{-222.75}[/tex]
Simplify your answer:
[tex]t=-0.17957351[/tex]
Approximate to 2 decimals:
[tex]t=-0.18[/tex]
can you help me with this queistion
Answer:
B
Step-by-step explanation:
Cora works at a small airfield where she fuels planes. She fills a Canadian plane with 125 gallons of fuel, but the pilot wants a receipt that shows the total number of liters purchased. How many liters are on the receipt Cora provides? A. 475.250 liters B. 473.176 liters C. 480.005 liters D. 479.215 liters
Answer: B. 473.176
Step-by-step explanation: 3.78541 Liters are in one gallon, so if you multiply 3.78541 Liters by 125 gallons then you will end up with 473.176 liters. If you have to add tax then it would be A. 475.250
Write the equation of the line that passes through (2, 4) and has a slope of -1 in point-slope form.
Answer:
Step-by-step explanation:
y - 4 = -(x - 2)
y - 4 =-x + 2
y = -x + 6
Construct a line through P that is
perpendicular to the line.
Answer:
The construct a line through P that is perpendicular to the line.
Step-by-step explanation:
Given that,
Construct a line through P that is perpendicular to the line.
We need to construct a perpendicular line P
Using given data
We draw an arc across the line on each side of the point P.
Now, from each arc on the line, draw another arc on the opposite side of the line from the point P.
The point P to the point where the arcs intersect Q.
Hence, The construct a line through P that is perpendicular to the line.
The equation of the perpendicular line through point 'P' is [tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex] and this can be determined by using the point-slope form of the line.
The following steps can be used in order to construct a line through P that is perpendicular to the line:
Step 1 - The equation of a line that passes through point 'P' is given below:
[tex](x-x_1)=m(y-y_1)[/tex]
where m is the slope and [tex](x_1,y_1)[/tex] is the point 'P' on the line.
Step 2 - So, the slope of the perpendicular line through point 'P' is:
[tex]mm' = -1[/tex]
[tex]m'=-\dfrac{1}{m}[/tex]
Step 3 - So, the equation of the perpendicular line through point 'P' is:
[tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex]
For more information, refer to the link given below:
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A 17-inch board is cut into three pieces. The
first piece is three inches more than the
second. The third piece is twice the first.
What is the length of the longest board.
Answer:
The third piece is the longest (10inches)
Step-by-step explanation:
The second piece is 2in
The first is 5in ( 2+3in)
Yo does anyone know how to do this ?
Answer these questions please
Step-by-step explanation:
hope This helps for you
Answer:
Step-by-step explanation:
Common factors are the number's , variables found in each of the terms
1) 21x²y = 3 * 7 * x * x * y
35xy² = 5 * 7 * x * y * y
Common factor = 7 * x * y
= 7xy
Answer :(iii) 7xy
2)a² - b² = (a + b)(a - b)
1 - x² = (1 - x) (1 +x)
(ii)
3) x³ - x = x(x² - 1)
= x(x + 1)(x - 1)
Answer: (iv)
4) 225 = 15 * 15 = 15²
x³ - 225x = x(x² - 225)
= x(x² - 15²) {a² - b² =(a + b)(a - b)}
= x(x + 15)(x - 15)
Answer: (ii)
5) 12a²b = 3 * 4 * a * a * b
15ab² = 3 * 5 * a * b * b
Common factor = 3 * a * b = 3ab
12a²b + 15ab² = 3*4*a²*b + 3*5*a*b²
= 3ab (4a + 5b)
Answer:(ii)
sorry for the messy laptop but can someone help me qwq
I believe the correct answer is H. 1,-5
Which number should go in the ?
5 + 3 = 3 + 0
() 8
Which statement is true?
A. 3 2/5 < 2 4/5
B. 2/3 > 1 7/3
C. 4 1/4 > 2 3/4
D. 1/2 < 1/4
Answer: C. 4 1/4 > 2 3/4
Step-by-step explanation: Option C is correct because when comparing mixed numbers, we first compare the whole numbers. In this case, 4 is greater than 2. Then, if the whole numbers are the same, we compare the fractions. In this case, 1/4 is greater than 3/4. Therefore, 4 1/4 is greater than 2 3/4.
- Lizzy ˚ʚ♡ɞ˚
5 n/2= (a + b), for a
Answer:
5n/2 - b =a
Step-by-step explanation:
5n/2 = (a + b)
subtract b from both sides
5n/2 - b = a
f(x)=-6x-8, what if f(-3)
Answer:
f(-3) = 10
Step-by-step explanation:
Simply plug in x as -3 to find f(-3):
f(-3) = -6(-3) - 8
f(-3) = 18 - 8
f(-3) = 10
In Noah's classroom, there are 6 girls for every 2 boys. What is the ratio of boys to the total number of students?
A. 3:1
B. 1:4
C. 4:1
D. 1:3
Answer:
A-3:1
Step-by-step explanation:
Simplify 6:2 by dividing by 2
Algebra with pizzza pg 55 can anyone solve for 100 points
Find the perimeter of the shape below. Show your work!! Use 3.14 as an approximation for pi. Round solution
to nearest hundreth.
12 cm
7 cm
Answer:
The perimeter of the shape below is 44.48cm
Step-by-step explanation:
To calculate the perimeter of this figure we have to add
7cm + 12cm + 7cm + ( perimeter of semicircle)
To calculate the perimeter of the semicircle we have to use the following equation
d = 12cm
r = d/2 = 12cm/2 = 6cm
c = perimeter of semicircle
r = radius = 6cm
π = 3.14
c = π * r
we replace with the known values
c = * 3.14 * 6cm
c = 18.84cm
The perimeter of the semicircle is 18.84cm
Now that we have this value we can calculate the perimeter of the figure
7cm + 12cm + 7cm + ( 18.84cm ) = 44.48cm
The perimeter of the figure is 56.84 cm
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: A semicircle on top of the rectangle with dimensions 12, 7 cm respectively .
Thus perimeter of the figure = perimeter of semi circle+ perimeter of rectangle
∴ 3.14×6+2(12+7)=56.84 cm
Hence, The perimeter of the figure is 56.84 cm
Learn more about area here:
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Your target number of calories is 2400 per day to lose weight, but you are consuming 3200 calories per day. Your target is what percentage of your consuming calories? Insert your answer as a whole percentage WITHOUT the % symbol.
Answer:
75
Step-by-step explanation:
Your target number of calories is 2,400 per day inorder to lose some amount of weight.
Instead 3,200 calories is consumed
Therefore the percentage of target that is consumed can be calculated as follows
= 2,400/3,200 × 100
= 0.75 × 100
= 75
Hence the percentage of calories that is consumed is 75
can someone please help me answer this
Answer:
A. True
Step-by-step explanation:
congruent- in agreement or harmony
both triangles are the same
If g(x) = 3x^2+2x-1. Find g(-1).
Step-by-step explanation:
g(x) = 3x² + 2x - 1
g(-1) = 3(-1)² + 2(-1) - 1
= 3(1) -2 -1
= 3 - 3
= 0
A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?
Answer:
A small learning center holds 48 students
Step-by-step explanation:
A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?
72-24=48
2x + y = 10
x - 2y = -5
if (x,y) is the solution to the system of equations above, what is the value of 3x - y?
3x - y = 5
Step-by-step explanation:2x + y = 10 | ×2
x - 2y = -5
4x + 2y = 20
x - 2y = -5
add
4x + x + 2y - 2y = 20 - 5
5x = 15
x = 15 : 5
x = 3
replace x
4(3) + 2y = 20
12 + 2y = 20
2y = 8
y = 8 : 2
y = 4
3x - y =
= 3(3) - 4
= 9 - 4
= 5
What is a possible value of x if -5 < x< 0?
Answer:
x=-4,-3,-2or-1
Step-by-step explanation :0
1) Simplify x3 x4 using the product of powers property.
Les
Answer:
Step-by-step explanation
[tex]a^{m} * a^{n} = a^{m+n}\\\\x^{3}*x^{4} = x^{3+4} = x^{7}[/tex]
In product of powers, if base is same, just add the powers
If 4 pounds of sugur cost $2, the cost of 1 pound of sugar cost
Answer:
50 cent
Step-by-step explanation:
Answer:
.50¢
Step-by-step explanation:
50 cents = 1 pound
$1.00 = 2 pound
$1.50 = 3 pounds
$2.00 = 4 pounds
basically adding 50 cents equals to $2
Dwayne buys 1 loaf of bread and 6 eggs for $4.45. Sheila buys 1 loaf of bread and 1 dozen eggs for $5.65. Let x be the cost, in dollars, of a loaf of bread. Let y be the cost, in dollars, of an egg.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Let x = cost of a loaf of bread ; y = cost of an egg
Dwayne :
1 loaf of bread and 6 eggs :
X + 6y = 4.45 - - - (1)
Sheila :
X + 12y = 5.65 - - - (2)
From (1);
X = 4.45 - 6y
In (2):
(4.45 - 6y) + 12y = 5.65
4.45 + 6y = 5.65
6y = 5.65 - 4.45
6y = 1.2
y = 0.2
From X = 4.45 - 6y:
X = 4.45 - 6(0.2)
X = 4.45 - 1.2
X = 3.25
Cost of a loaf of bread = $3.25
Coat of an egg = $0.2