Answer:
if f(g(x)) = g(f(x)), then x is equal to zero.
Step-by-step explanation:
given:
f(x) = 2x²
g(x) = x + 1
then:
f(g(x)) = 2(x + 1)²
g(f(x) = 2x² + 1
so if:
f(g(x)) = g(f(x))
then:
2(x + 1)² = 2x² + 1
2(x² + 2x + 1) = 2x² + 1
2x² + 2x + 1 = 2x² + 1
2x = 0
x = 0
Fill in the blanks. (With picture) 15 pts
(Simplify your answers. Use integers or fractions for any numbers in the expressions.
Given:
The expression is:
[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\_\_\_+\dfrac{1}{19}n\right)+\left(-8+\_\_\_\right)[/tex]
[tex]=\_\_\_n+\_\_\_[/tex]
To find:
The missing values.
Solution:
We have,
[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)[/tex]
It can be written as
[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11}{19}n+\dfrac{1}{19}n\right)+\left(-8+10\right)[/tex]
So, the values for the first two boxes are [tex]\dfrac{11}{19}n[/tex] and 10 respectively.
On simplification, we get
[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11+1}{19}n\right)+\left(2\right)[/tex]
[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\dfrac{12}{19}n+2[/tex]
So, the values for third and fourth boxes are [tex]\dfrac{12}{19}[/tex] and 2 respectively.
The perimeter of a triangular field is 748 metres. The lengths of the three sides of the field are in the ratios 2 : 7 : 8. Calculate the length, in metres, of the largest side of the field.
If 48% of the students in a certain college are female and there are 2,400 female students, how many students are male?
Answer:
2,600 male students
Step-by-step explanation:
[tex]\frac{2,400}{0.48} = 5,000[/tex]
There are 5,000 students in total.
Since 2,400 of them are female, the remaining students must be male.
5,000 - 2,400 = 2,600 male students
The box plot represents the amount of time 15 pet owners spend exercising their pets each day.
Box plot:
0
15
30
45
60
75
90
105
120
True or False
The range is 105 minutes
Solve for x, rounding to the nearest hundredth.
2^4x = 36
Answer:
5/4
Step-by-step explanation:
36 is the 5tf power of 2 so we can rewrite the equation as
[tex] {2}^{4x} = {2}^{5} [/tex]
Since the expressions has same base the powers must be equal to
4x = 5 and x = 5/4
2. The area of a square is represented by the expression 16m2 - 40m + 25 square units. write the expression to represent the dimensions for each side. Explain what process you use. Justify your answer.
Answer:
Each side = 4m-5
Step-by-step explanation:
16m2 - 40m + 25
factor:
(4m - 5)(4m - 5)
Each side = 4m-5
Answer:
The expression for each side = 4m - 5.
Step-by-step explanation:
We need to factor the expression for the area. As the figure is a square both factors should be identical.
16m^2 - 40m + 25:
16m^2 and 25 are both perfect squares so looks like the factors are
(4m - 5)(4m - 5)
The signs are negative because the middle term is - 40m.
If we expand the factors we get:
4m*4m - 5*4m - 5*4m -5*-5
16m^2 - 20m - 20m + 25
= 16m^2 - 40m + 25 which is the original expression, so this confirms our result.
Ann is using a recipe that serves 20 people. The recipe requires 1/2 of a cup of sugar. How many cups of sugar does Ann need to serve 70 people with this recipe?
Answer:
Step-by-step explanation:
x/70=0.5/20
x=35/20
x=1.75
Ann will need 1.75 cups of sugar.
Elliott has 5 1/2 bags of birdseed.He uses 3 2/5 bags to feed the birds at the park.He puts the rest of the birdseed in the bird feeders in his yard.How much birdseed does Elliott put in the feeders in his yard?
Answer:
Elliott put 2.1 bags of birdseed in the feeders
Step-by-step explanation:
(5 1/2) - (3 2/5) = 2.1
I hope I helped! :)
Would appreciate Brainliest! ;)
Harold is designing a patio with congruent square concrete tiles. He has 72 tiles. Use grid paper to model all the possible rectangular patios Harold could build. Label the dimensions in units. Which patio has the greatest perimeter? The least perimeter?
Answer:
(a) The possible dimensions are:
1 unit by 72 units; 2 units by 36 units; 3 units by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units
(b): Patio with greatest and the least perimeter
The dimension with the greatest perimeter is: 1 by 72
The dimension with the least perimeter is: 8 by 9
Step-by-step explanation:
Given
[tex]Tiles = 72[/tex]
Solving (a): Possible rectangular models
To do this, we simply list out the possible factor pairs of 72.
So, we have:
1 unit by 72 units; 2 units by 36 units; 3 units by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units
Solving (a): Models with the least and the greatest perimeter
Perimeter (P) is calculated using:
[tex]P = 2 * (L + W)[/tex]
So:
1 unit by 72 units;
[tex]P = 2 *(1 + 72) = 146 units[/tex]
2 units by 36 units;
[tex]P = 2 *(2 + 36) = 76 units[/tex]
3 units by 24 units;
[tex]P = 2 *(3 + 24) = 54 units[/tex]
4 units by 18 units;
[tex]P = 2 *(4 + 18) = 44 units[/tex]
6 units by 12 units;
[tex]P = 2 *(6 + 12) = 36 units[/tex]
8 units by 9 units
[tex]P = 2 *(8 + 9) = 34 units[/tex]
From the calculations above:
The dimension with the greatest perimeter is: 1 by 72
The dimension with the least perimeter is: 8 by 9
f(x)=x^2 g(x)=x-5
(f of g)(-2)=
Step-by-step explanation:
search u po sa math papa dali LNG yan
What is Dangerous on living for 7 days on a can of sardines Questions. . . .
Answer:
YOU MIGHT FALL OFF
Step-by-step explanation:
that's the answer
-kenma #3
The area values of the circles given in the attachment are :
28.26 cm²50.24 in²314 m²12.56 cm²254.34 ft²4.52 km²7850 in²379.94 m²19.63 cm²200. 96 ft²1256 m²78.5 cm²7.07 m²113.04 in²200. 96ft²38.47 cm²0.28 km²3.14 cm²Area of a circle =
[tex] {\pi} {r}^{2} [/tex]
Where, r = Radius
[tex] \frac{\pi {d}^{2} }{4} [/tex]
d = diameter
[tex]\pi = 3.14[/tex]
1.)
r = 3cm
Area = 3.14 × 3² = 28.26 cm²
2.)
r = 4 in
Area = 3.14 × 4² = 50.24 in²
3.)
r = 10 m
Area = 3.14 × 10² = 314 m²
4.)
r = 2cm
Area = 3.14 × 2² = 12.56 cm²
5.)
r = 9 ft
Area = 3.14 × 9² = 254.34 ft²
6.)
r = 1.2 km
Area = 3.14 × 1.2² = 4.52 km²
7.)
r = 50 in
Area = 3.14 × 50² = 7850 in²
8.)
r = 11 m
Area = 3.14 × 11² = 379.94 m²
9.)
r = 2.5 cm
Area = 3.14 × 2.5² = 19.63 cm²
10.)
d = 16 ft
Area = (3.14 × 16²) ÷ 4 = 200. 96ft²
11.)
d = 40 m
Area = (3.14 × 40²) ÷ 4 = 1256 m²
12.)
d = 10 cm
Area = (3.14 × 10²) ÷ 4 = 78.5 cm²
13.)
d = 3 m
Area = (3.14 × 3²) ÷ 4 = 7.07 m²
14.)
d = 12 in
Area = (3.14 × 12²) ÷ 4 = 113.04 in²
15.)
d = 16 ft
Area = (3.14 × 16²) ÷ 4 = 200. 96ft²
16.)
d = 7cm
Area = (3.14 × 7²) ÷ 4 = 38.47 cm²
17.)
d = 0.6 km
Area = (3.14 × 0.6²) ÷ 4 = 0.28 km²
18.)
d = 2 cm
Area = (3.14 × 2²) ÷ 4 = 3.14 cm²
https://brainly.com/question/11952845?referrer=searchResults
HELP ITS DUE AT 11 AND IT 10:20
Answer and Step-by-step explanation:
The answer is M, where for every 3 oxygen atoms, there are 3 oxygen atoms.
In a chemical reaction, there needs to be the same amount of particles/atoms on the reactants side and on the products side. So, since this answers says that for every 3 oxygen atoms in the reactants, there are 3 oxygen atoms in the products, the answer is correct.
#teamtrees #PAW (Plant And Water)
very confusing i know
Center (-10, -4), Point on Circle: (4,2)
h=
k=
r^2=
Fill in the parenthesis for the equation of the circle:
(Blank 1)² +(Blank 2)²= (Blank 3)
*Just type what you would write in the parentheses with no spaces
Answer:
(x + 10)² + (y + 4)² = 232Step-by-step explanation:
Given Center = (-10, -4)Point on circle = (4, 2)To find The equation of circleSolutionRemember the standard equation of circle:
(x - h)² + (y - k)² = r², where (h, k) is the center and r is radiusWe have
h = -10, k = -4Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.
Here we are finding the distance between points (-10, -4) and (4, 2)
r² = (-10 - 4)² + (-4 - 2)² r² = 14² + 6²r² = 232So the equation is:
(x + 10)² + (y + 4)² = 232What is the perimeter of a rectangle with a length of
9
x
−
4
and a width of
5
x
+
2
?
Answer:
6
Step-by-step explanation:
The perimeter of a rectangle with a length of 9x - 4 and a width of (5x + 2) will be 18x - 4.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,
Perimeter of the rectangle = 2(L + W) units
The dimension of the rectangle is given as,
L = 9x - 4
W = 5x + 2
Then the perimeter of the rectangle is given as,
P = 2(L + W)
P = 2(9x - 4 + 5x + 2)
P = 2(14x - 2)
P = 18x - 4
The perimeter of a rectangle with a length of 9x - 4 and a width of (5x + 2) will be 18x - 4.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
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how many inches are in 3 yards
Answer:
108
Step-by-step explanation:
36 inches in a yard
12 inches in 1 foot, 3 feet in 1 yard.
12 * 3 = 36, 36 * 3 = 108
108 inches in 3 yards
Hope this helps!
3. What is true about the graph of a system of equations that has infinitely many solutions? A. The lines will have the same slope but different y-intercepts. B. The lines will have the same slope and the same y-intercepts. C. The lines will have different slopes and different y-intercepts. D. The lines will have different slopes but the same y-intercepts.
Answer:
B
Step-by-step explanation: for infinitely many solutions the two lines must lie directly on top of one another- so same slope and same y-intercept
The lines in the graph of a system of equations that has infinitely many solutions will have The lines will have the same slope and the same y-intercepts.
What is a slope?A slope is a ratio that describes the steepness and the direction of a line.
What is the y-intercept?The y-intercept is the point at which a line touches the y-axis. This means that x=0.
A system of equations will have infinitely many solutions when they are the same line or when the two lines coincide on every point that makes up the line. Two lines are the same when the slope and the y-intercept of the lines are also the same.Thus we can say that the lines in the graph of a system of equations that has infinitely many solutions will have the same slope and the same y-intercepts. The correct answer is option B.
Learn more about slopes and y-intercepts here-https://brainly.com/question/25722412
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Write the area as a product:
3x^2 - 7x - 6
Answer:
product is a ⋅ c = 3 ⋅ − 6 = − 18 and whose sum is b = − 7 .
Step-by-step explanation:
Factor
− 7 out of − 7 x .
3 x 2 − 7 ( x ) − 6
Rewrite
−7 as 2 plus −9
3 x 2 + (2−9) x −6
Apply the distributive property.
3 x 2 + 2 x − 9 x − 6
Find the greatest common factor of 12c^3 and 20n^4
Answer:
4
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor.
Seiko takes pottery classes at two different studios. Is there a number of hours for which Seiko’s cost is the same at both studios?
I hope this helps a little bit.
PLZ PLZ PLZ Solve this
Help me plsss
And show identity. Thank you:)
Answer:
see the formula in book
Step-by-step explanation:
change the first 2 brackets into cos sin like that
then after,change both into another formula
sin theta plus cos theta will come ans
THE COFFICENT OF y in term -y /3 is
Answer:
-1/3
Step-by-step explanation:
hope it helps thanks
Answer:
-1/3
Step-by-step explanation:
plz help if you do then GOD BLESS UR POOR SOAL
Answer:
hi
Step-by-step explanation:
Ali found four pieces of wire in his tool drawer. Here are their lengths (in centimeters).
13, 4.37 , 15.4 , 5.2 What is the total length of the four pieces?
Answer:
37.57 centimetres is the length of the wire
Step-by-step explanation:
37.57 centimetres
please mark as brilliant
A gym charges an initial fee plus $25 per month. John paid $200 for six months. Assume the relationship is linear.
a.What is the rate of change and what does it mean in context to the situation?
b. What is the initial value and what does it mean and context to the situation?
i will give brainliest!!!!!
Step-by-step explanation:
a. The rate of change is $33.33 per month
200/6 = approximately $33.33 per month
This means that in addition to the initial fee, Josh has to pay $33.33 per month for the gym membership.
b. The initial value is $25. This is a constant value and a one time fee to open and attain a gym membership.
Monique bought 3 boxes of cereal at the grocery store. Each box of cereal costs c dollars. Which equation represents the total amount of money, t, Monique spent on cereal?
Answer:
3c = t
Step-by-step explanation:
3 cereal boxes is 3c and the total is t. so 3c = t
Answer:
3c = t
3 is the amount of boxes, c is the money, therefore, it is 3c=t, which means c times the number of boxes equals t
(×-5)²
ayudenme a resolver estooo:((
Se requiere saber la elevación x los 20.00 m de longitud , al construir una carretera , sabiendo que pendiente es de 5 %
Answer:
La elevación de la carretera es de aproximadamente 0.999 metros.
Step-by-step explanation:
Cuando se dice que la pendiente es de 5 %, se quiere decir que la tangente del ángulo de elevación de la carretera es de 0.05. Trigonométricamente hablando, podemos calcular el ángulo de la pendiente como sigue:
[tex]\theta = \tan^{-1} 0.05[/tex]
[tex]\theta \approx 2.862^{\circ}[/tex]
La elevación de la carretera se determina mediante la función seno:
[tex]\sin \theta = \frac{h}{l}[/tex] (1)
Donde:
[tex]h[/tex] - Elevación de la carretera, medida en metros.
[tex]l[/tex] - Longitud de la carretera, medida en metros.
Si sabemos que [tex]l = 20\,m[/tex] y [tex]\theta \approx 2.862^{\circ}[/tex], entonces la elevación de la carretera es:
[tex]h = l\cdot \sin \theta[/tex]
[tex]h \approx 0.999\,m[/tex]
La elevación de la carretera es de aproximadamente 0.999 metros.
Considerando la regla de tres, la elevación de la carretera es de 1 metro.
Regla de tresLa regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos.
Es decir, lo que se pretende con ella es encontrar el cuarto término de una proporción conociendo los otros tres.
Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, la otra también (o cuando una magnitud disminuye, la otra también), se debe aplicar la regla de tres directa.
Para resolver una regla de tres directa se debe seguir la siguiente fórmula, siendo a, b y c datos conocidos yx la variable a calcular:
a ⇒ b
c ⇒ x
Por lo tanto: [tex]x=\frac{cxb}{a}[/tex]
ElevaciónUna pendiente de 5% indica que por cada 100 m de longitud hay 5 m de pendiente.
Entonces podes aplicar la siguiente regla de tres: si por cada 100 m de longitud hay 5 m de pendiente o elevación, por 20 metros de longitud ¿cuál será la pendiente?
[tex]elevacion=\frac{20 metrosx5 metros}{100 metros}[/tex]
elevación= 1 metro
La elevación de la carretera es de 1 metro.
Aprenda más sobre la regla de tres:
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Does this scatter plot show a positive trend a negative trend or no trend
PLEASE AMSWER QUESTOON 1 AND 2 PLEASE ITS EASY PLES I NEED IT PLS
Answer:
1. 27 bouquets
2. a, d, e
Step-by-step explanation:
1. Rate of increase is 1 bouquet:9 flowers (found by dividing 3 and 27 by GCF which is 3) so if she has 243 flowers you divide that by 9 to get 27 bouquets.