Answer:
[tex]m-n=2[/tex]
Step-by-step explanation:
Instead of using the standard form, we can use the vertex form of a quadratic equation:
[tex]f(x)=a(x-h)^2+k[/tex]
Where a is the leading coefficient, and (h, k) is our vertex.
Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:
[tex]f(x)=a(x-2)^2-4[/tex]
Now, we need to determine a.
We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:
[tex]12=a((4)-2)^2-4[/tex]
Solve for a. Subtract within the parentheses:
[tex]12=a(2)^2-4[/tex]
Add 4 to both sides:
[tex]16=a(2)^2[/tex]
Square:
[tex]16=4a[/tex]
Solve:
[tex]a=4[/tex]
Thererfore, the value of a is 4.
So, our function is:
[tex]f(x)=4(x-2)^2-4[/tex]
Now, let’s find our roots. Set the equation to 0 and solve for x:
[tex]0=4(x-2)^2-4[/tex]
[tex]4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1[/tex]
So, our roots are 1 and 3.
The greater root is 3 and the lesser root is 1.
Therefore, m-n, where m>n, is 3-1 or 2.
Our final answer is 2.
Answer:
2
Step-by-step explanation:
Source: AOPS
A graph titled Passing Statistics has pass attempts on the x-axis, and yards on the y-axis. A line goes through points (24, 127) and (36, 163).
The scatterplot shows how many pass attempts and yards a quarterback has in different football games. Notice that the line passes through the second point from the left, (24, 127) and the farthest point on the right (36, 163).
What is the slope of the trend line?
Answer:
1/3x
Step-by-step explanation:
Subtract x by x and y by y to find the distance/difference
36 163
24, 127
= 12/36 = rise/run
Now reduce to find the slope, reduce until you can't anymore.
12/36
6/18
3/9
1/3 (that's your slope)
On the coloring sheet, thd a ratio
is equivalent to 3/10.
Answer:
Equivalent ratios:
3 : 10 6 : 20 9 : 30 12 : 40 15 : 50 18 : 60 21 : 70 24 : 80 27 : 90 30 : 100 33 : 110 36 : 120 39 : 130 42 : 140 45 : 150 48 : 160 51 : 170 54 : 180 57 : 190 60 : 200 63 : 210 66 : 220 69 : 230 72 : 240 75 : 250 78 : 260 81 : 270 84 : 280 87 : 290 90 : 300
( Brainlyst will help my rank <3 )
Un hacendado a comprado doble numero de vacas que de bueyes, por cada vaca pago 70 dólares y por cada buey 85 dólares, si el importe de la compra fueron 2,700 dólares cuantas vacas y bueyes compro
Responder:
Número de bueyes = 12
Número de vacas = 24
Explicación paso a paso:
Dado que :
Número de vacas compradas = 2 veces el número de bueyes;
Sea número de bueyes = y
Número de vacas = 2 años
Costo de la vaca = 70
Costo de bueyes = 85
Costo total = 2700
Por lo tanto;
(2 años * 70) + (y * 85) = 2700
140 años + 85 años = 2700
225 años = 2700
225 años / 225 = 2700/225
y = 12
Número de bueyes = y = 12
Número de vacas = 2y = 2 * 12 = 24
y + 4 + 2x + 3y
can someone simplify it
Answer:
2x+4y+4
Step-by-step explanation:
Answer:
y×(1+3)+2×(2+x)
Step-by-step explanation:
y(1+3)+2x+4
2(x+2)
What is the value of f(3) ?
Answer:
f(3)=-60
Step-by-step explanation:
f(3)=5*(3^2)-7(4*3 + 3)
f(3)=5*9 - 7*15
f(3)=45-105
f(3)=-60
Answer: -60
Step-by-step explanation:
f(3) means that you replace the input function of x with 3; So, your equation would look something like this:
5(3)^2 - 7(4(3) +3)
= 5(9) - 7(15)
= 45 - 105
= -60
Find the product.
-8x5y2 · 6x2y
-8x10y2
-8x7y3
-48x7y3
-48x10y2
Answer:
C.
-48x7y3
Step-by-step explanation:
The next answer on edge is also C. 9a8 + 24a4 + 16
The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³ so option (C) will be correct.
What is multiplication?Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Given the two terms,
-8x⁵y² and 6x²y
If we multiply
-8x⁵y² × 6x²y = (-8)×6 × x⁵y² × x²y
⇒ - 48 × x⁵x² y²y¹
⇒ - 48 × x⁵⁺²y²⁺¹
⇒ - 48x⁷y³
Hence "The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³".
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I NEED HELP PLEASE!!!!
Which function represents the sequence in the table?
Answer:
The answer is B
Step-by-step explanation:
So basically the graph starts at 1=-3, 2=-1, 3=1 and so on because of this we now that the graph is going up by two therefore it's B
Nina cuts a 1 3/4 cm piece of paper from a strip measuring 2 7/8 cm. How much paper is left?
Answer with solution pls :]
Answer:
1.125
Step-by-step explanation:
1 and 3/4 = 1.75
2 and 7/8 = 2.875
So
2.875 - 1.75 = 1.125
Estimate 8 x 342 hehehhe
Answer:
2736
Step-by-step explanation:
8
× 3 4 2
1
1 6
3
3 2 0
2
2 4 0 0
2 7 3 6
Answer:
whqt the oth3r pers0n s4id
Step-by-step explanation:
vfrtgebcydhnnnnkmkmznjjjdcbhjfjmcmdx
a que vista del solido corresponde la figura 2
¿Dónde está la pregunta que estás haciendo? No veo opciones, amigo.
Will give 20 points if you answer correctly, will give brainliest! Please answer and EXPLAIN! Thanks
write the slope intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation (-3,5), y=-5x+3
a. y= 10x-5
b. y=-5x-10
c. y=-5x+10
d. y+1/5x-5
Please help! Thx!
Answer: B
Step-by-step explanation:
so for the slope to be parallel, it means it's the same slope as the given equation which is -5
using point slope, we can write a new equation
y -5 = -5(x+3)
y -5 = -5x-15
y = -5x-10
help me please thanks
El entrenamiento que hace marco 10 dias antes de su carrera es constante. Diariamente corre 45 minutos a una velocidad de 30 km-h ¿Cuántos kilómetros ha corrido Marcos durante esos 10 dias?
Responder:
225 kilometros
Explicación paso a paso:
Dado que :
Velocidad de funcionamiento = 30 km / h
Duración = 45 minutos
Número de días = 10 días
Distancia total recorrida por día:
Duración en horas:
45 minutos / 60 = 0,75 hora (s)
Así, la distancia recorrida por día:
Tiempo de velocidad
30 km / h * 0,75 h = 22,5 km
Por lo tanto, la distancia total recorrida durante 10 días:
Distancia recorrida diariamente * 10
22,5 kilometros * 10 = 225 kilometros
HELP- 11 points!
Find three consecutive integers with a sum of -36. First, write an equation, then solve.
The fraction 3/8 is closest to which benchmark?
zero
one-half
seven-eights
one
Answer:
I would say one-half
Step-by-step explanation:
because its 3/8 and is close to 4/8 which is equal to 1/2
Answer:
1/2
Step-by-step explanation:
1/2 × 4 = 4/8 jdvegeje shhe
Joseph has 48 comic books. He sold one-fourth of his collection to his friend. He brought twice the number of comic books as he has now.how many comic books does he have now?
Answer:
108
Step-by-step explanation:
Given that Joseph has 48 comic books.
As he sold 1/4 of his collection to his friend, so
The number of books, Josef sold = 1/4 x 48 = 12.
The number of remaining books, Josef has = 48 - 12 = 36.
As he brought twice the number of comic books as he has now, so,
the number of comic books, Josef brought = 2 x 36 = 72.
Now, total number of comic books, Josef has = 36 + 72 = 108.
0
ef
gh
A. dº + fº = 180° B. gº + fº =
C. Cº + f 0 = 180° D. bº + 0 =
The circumference of a circle is 88c
Calculate the radius of the circle.
A. 14cm
B. 42cm
C. 56cm
D. 28cm
and 415.
About 28cm
circumference of a circle =radius×3.14
3.14÷circumference of the circle (88cm)=28.04.
About 28cm.
Answer to this :0000 thanks!
Answer:
B
Step-by-step explanation:
have a nice day :)
The function g(x) is a transfomation of the function f(x). If g(x) = 2(x – 3) 2
f(x) = 2(x + 4) then what translation describes the change from f (x) to g(x)?
2
1
Answer:
881 (-6x)
Step-by-step explanation:
The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
18 cm
Calculate the total shaded area.
Take it to be 3.142 and write down all the digits given by your calculator.
Answer:
69.498
Step-by-step explanation:
first find the area of the whole square (how i saw it), remember
it is made up of a circle drawn inside a square.
so we do the area of the square = 18²
= 324
next we find the circle which was drawn, the circle covers up the
whole shaded square.
diameter would be 18 as the length of the square was 18,
then we find the radius, 18/2 = 9
now we use πr²,
r would be the radius (9)
therefore it would be π(81) and we get 254.502
now we take away the area of the circle covering the square
from the area shaded in,
therefore 324 - 254.502
= 69.498
( 1st time ive posted an answer btw )
BRAINLY ANNND POINTS FOR RIGHT ANSWER AND STEP BY STEP
3r+4=qr-5p for r
Answer:
r = qr - 5p - 4
Step-by-step explanation:
3r + 4 = qr - 5p
Subtract:
3r = qr - 5p - 4
Divide:
r = qr - 5p - 4
evaluate the polynomial for the given values of x and y
5x^2y+3xy^2+10y^3; for x= 2 and y= -1
try nio po i-download ung Hiper scientific calculator
sana masagutan nio po
sana makatulong din po ung app na yan
PLS HURRY!!!
A parabola has a vertex at (0,0). The equation for the
directrix of the parabola is x = -4. In which direction does the parabola open?
Answer:
Right.
Step-by-step explanation:
The answer is right on edge2020 I just took the test.
The direction in which the parabola will open is; To the right
What is the equation of a parabola?We are given;
The vertex of the parabola is at (0, 0)
Directrix of the parabola is x = -4
We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;
y² = 4ax
Thus, we can conclude that the parabola opens towards the right.
Read more about Parabola at; https://brainly.com/question/17987697
How can you tell a triangle is similar with having only one side number?
Answer:
If the pictures are relevant:
Step-by-step explanation:
Measure the sides, or look for the best fit image
Select the correct answer.
What is the solution to this equation?
4(^3 sqrt x – 2) + 1 = 9
A. 10
B. 6
C. 0
D. 8
Answer:
I got B too so I sure could be right answer but if it's not then I so sorry. B. 6
The solution of the given equation [tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9 will be x = 1.08.
What is a equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given is the following equation -
[tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9
The given equation is -
[tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9
[tex](4)^{3\sqrt{x} -2}[/tex] = 8
Assume 3[tex]\sqrt{x}[/tex] = n. Then, we can write the equation as -
(4)ⁿ ⁻ ² = 8
(4)ⁿ ÷ (4)² = 8
(4)ⁿ x 1/(4)² = 8
(4)ⁿ = 8 x 16
(2)²ⁿ = (2)³ x (2)⁴
2n = 3 + 4
2n = 7
n = 7/2
3[tex]\sqrt{x}[/tex] = 7/2
[tex]\sqrt{x}[/tex] = 7/6
x = 1.08
Therefore, the solution of the given equation [tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9 will be
x = 1.08.
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HELP ThIS IS DUE TODAY
True/False....When you are simplifying an expression you should look for the "like terms" to combine first. *
Answer:
true
Step-by-step explanation:
Which descriptions match the given transformations?
Drag and drop the answer into the boxes.
Answer:
f(z) is translated 3.5 units left.
Below is a formula for the volume of a pyramid
V = 1/3 Bh , where B is the base area and h is the height
Solve the formula for h.
What is the height of a pyramid with base area 15 cm² and volume 45 cm?
A:1 cm
B:3 cm
С:6 cm
D:9 cm
Answer:
D
Step-by-step explanation:
Refer to the picture that givem
The graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of
f(3) = 8x2 - 6. Write a rule for g. Then identify the vertex.
The vertex is
Answer:
f(x)=8x^2-6
f(x) = a (x -h)2 + k
horizontal stretch by a factor of 2 -> 1/2 x
2 units up -> k = 2
reflection in y axis -> x value is negative
g(x) = 8*(1/2 x)2 - 6 + 2
g(x) = 2 x2 -4
Step-by-step explanation:
The vertex will be at g(x) = 2x² -4.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that the graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of
f(3) = 8x² - 6.
f(x)=8x²-6
f(x) = a (x -h)2 + k
Horizontal stretch by a factor of 2 -> 1/2 x
2 units up -> k = 2
Reflection in y axis -> x value is negative.
g(x) = 8 x (1/2 x)² - 6 + 2
g(x) = 2x² -4
Therefore, the vertex will be at g(x) = 2x² -4.
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1. (9х3 + 5x)
- 7x - 3x)
Help me solve this and give me the answer.
Answer:
2x³ + 8x
General Formulas and Concepts:
Pre-Alg
Distributive PropertyAlg I
Combining like termsStep-by-step explanation:
Step 1: Define
(9x³ + 5x) - (7x³ - 3x)
Step 2: Solve
Distribute negative: 9x³ + 5x - 7x³ + 3xCombine like terms: 2x³ + 8x