f(x)
A
6
X
-8
6
8
Which of the given functions could this graph represent?
OA. f(t) = (x - 1)(x - 2)(x + 1)(x + 2)
O B. f(x) = x(x - 1)(1 + 1)
Oc. /(x) = x(x - 1)(x - 2)(x + 1)(x + 2)
OD. (r) = x(x - 1)(x - 2)

9514 1404 393

Answer:

Step-by-step explanation:

We can express all of the ages in terms of Luna's age. Letting L represent Luna's age, we have ...

The total of their ages is then ...

  L +2L +(2L+6) = 51 . . . . an equation with one variable

  5L = 45

  L = 9

Luna is 9, Camila is 18, and Ava is 24.

Ok I dont know how to do this im so sorry

Answer

Correct option is

A

68

Answer:

96 is the answer because vertically opposite angles are always equal

Answer:

146.96 [tex]m^2[/tex]

Step-by-step explanation:

1. Approach

Divide this figure into two smaller shapes. Calculate the area of these smaller shapes, and then add the results. One can divide this shape into a semi-circle, and a triangle.

2. Area of the triangle

The formula to find the area of a triangle is;

[tex]\frac{base*height}{2}[/tex]

It is given that the base of the triangle is (14m) and the height is (10m). Substitute in these values, and solve for the area,

[tex]\frac{14*10}{2}\\= \frac{140}{2}\\= 70[/tex]

2. Area of the semi-circle

The area of the semi-circle can be found by finding the area of the larger circle, and then divide it by 2, since a semi-circle is half of a circle. The formula for the area of a semi-circle is;

[tex]\frac{(pi)(r^2)}{2}[/tex]

Where (pi) is the constant (3.1415...), (r) represents the radius of the circle, which by definition is half of the diameter. Substitute in the values and solve;

[tex]\frac{(pi)(7)^2}{2}\\= \frac{3.14*49}{2}\\=76.96[/tex]

3. Find the total area;

Now add up the two values for the area of the figures;

Triangle + Semi-circle

= 70 + 76.96

= 146.96

Answer: about 147 m²

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky Smart.

Answer: There is no solution.

Answer:

There is no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

(y/10)^2+(x/30)^2=1

y^2/100+x^2/900=1

9y^2+x^2=900

9y^2=900-x^2

y^2=(900-x^2)/9, when x=8 we have

y^2=(900-8^2)/9

y^2=(900-64)/9

y^2=836/9

y=9.6 meters

The arch is 9.6 meters above the river at a distance of 8 meters from the center.

Answer:

Hi yes ik I'm not that good at math but wouldn't it be

a n=1∗1 n =1

Answer:

110

Step-by-step explanation:

The inverse of 7/5 is 5/7

5/7 times 154 equals 110

Answer:

30% decrease

Step-by-step explanation:

We have to divide 39 by 130 and then find the percentage of it. 39/130 is equal to 3/10, and 3/10 is equal to 30%. That means that it was a 30% decrease.

Answer:

35%

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

1=2(4)+b

Step-by-step explanation:

slope intercept looks like this y=mx(or y=#x+#

if the slope is 2 the equation will be y=2x+b

to find b so x=4 and y=1 we can plug those numbers into the equation to find b

Answer:

6.9

Step-by-step explanation:

sinX=opposite/hypotenuse

sin35=a/12

a=12*0.57357643635

a=6.88291723621≈6.9

Answer:

60 millas por hora.

Step-by-step explanation:

Dado que un taxi viaja  a una velocidad de 48 mph  para llegar a un destino en 2 horas y media, para determinar cuál seria su velocidad si se tarda dos horas para llegar ​se debe realizar el siguiente cálculo:

48 x 2.5 = 120

120 / 2 = X

60 = X

Así, su velocidad, si se tardase dos horas en llegar, sería de 60 millas por hora.

Answer:

Not enough information to give answer

Answer:

yeah not enough info to answer

Answer: Slope means the gradient. So find the equation of the line first then graph the points on the graph.

Step-by-step explanation:

y=mx+c                 *We want m*

m=(y2-y1)/(x2-x1)

m=(0-1)/(6-3)

m=-1/3

y=-1/3x+2          *(0,2) co-ordinate means it's the y-intercept=c*

I think the slope is -1/3 and then just plt the points on the graph manually.

Answer:

Q.1 a²+10a+24

splitting the middle.

a²+6a+4a+24

=a(a+6)+4(a+6)

(a+6)(a+4)

Q.2 x²+9x+18

splitting the middle

x²+6x+3x+18

x(x+6)+3(x+6)

(x+6)(x+3)

Answer:

Volume = 100 cm³

​Surface area of the square pyramid = 145 cm²

Step-by-step explanation:

Given:

Perpendicular height = 12cm

Square length = 5cm

Find:

Volume

​Surface area of the square pyramid

Computation:

Area of base = side²

Area of base = 5²

Area of base = 25 cm²

Volume = (1/3)(A)(h)

Volume = (1/3)(25)(12)

Volume = 100 cm³

​Surface area of the square pyramid = A + 1/2(P)(h)

Perimeter square pyramid = 4(s)

Perimeter square pyramid = 4(5)

Perimeter square pyramid = 20 cm

​Surface area of the square pyramid = 25 + 1/2(20)(12)

​Surface area of the square pyramid = 145 cm²

Answer:

x=1 y=-4

Step-by-step explanation:

Answer:

a - Mutual

b - (x+21)+(2x+3)=90

c - 3x +24 =90

3x=90-24

3x=66

X=22

-9-(-7)

-9--7

-9+7

7-9

-2

---

hope it helps

Answer:

Step-by-step explanation:

From the given information:

[tex]a_n = a_{n-1} + a_{n-2}; \ \ \ n \ge 2 \\ \\ a_o = 1 \\ \\ a_1 =1 \ \ \ \ \ since \ \ a_o = a_1 = 1[/tex]

A)

[tex]a_n - a_{n-1} - a_{n-2} = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2}(a_n -a_{n-1}-a_{n-2} ) x^n = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2} a_nx^n - \sum \limits ^{\infty}_{n=2} a_{n-1}x^n - \sum \limits ^{\infty}_{n=2}a_{n-2} x^n = 0 \\ \\ \implies (a(x) -a_o-a_1x) - (x(a(x) -a_o)) -x^2a(x) = 0 \\ \\ \implies a(x) (1 -x-x^2) -a_o-a_1x+a_ox = 0 \\ \\ \implies a(x)(1-x-x^2)-1-x+x=0 \\ \\ \implies a(x) (1-x-x^2) = 1[/tex]

[tex]\mathbf{Generating \ Function: a(x) = \dfrac{1}{1-x-x^2}=f(x)}[/tex]

B)

[tex]If \ \ 1 -x-x^2 = (1 - \alpha x) ( 1- \beta x) \\ \\ \implies 1 -x - ^2 = 1 + \alpha \beta x^2 - ( \alpha + \beta )x \\ \\ \text{It implies that:} \\ \\ \alpha \beta = -1 \\ \\ \alpha + \beta = 1 \\ \\ \implies \alpha = ( 1-\beta) \\ \\ ( 1- \beta) \beta = -1 \\ \\ \implies \beta - \beta^2 = -1 \implies \beta - \beta^2 -1 = 0\\ \\ \beta = \dfrac{-(-1) \pm \sqrt{(-1)^2 -4(1)(-1)}}{2(1)}[/tex]

[tex]\beta = \dfrac{1\pm \sqrt{5}}{2} \\ \\ \beta = \dfrac{1 + \sqrt{5}}{2} \ \ and \ \ \alpha = \dfrac{1 - \sqrt{5}}{2}[/tex]

C)

[tex]\dfrac{1}{1-x-x^2}= \dfrac{A}{1-\alpha x}+ \dfrac{\beta}{1-\beta x} \\ \\ = \dfrac{A(1-\beta x) + B(1-\alpha x)}{(1-\alpha x) (1 - \beta x)} \\ \\ = \dfrac{(A+B)-(A\beta+B\alpha)x}{(1-\alpha x) (1-\beta x)}[/tex]

[tex]\text{It means:} \\ \\ A+B=1 \\ \\ B = (1-A) \\ \\ A\beta+ B \alpha =0 \\ \\ A\beta ( 1 -A) \alpha = 0 \\ \\ A( \beta - \alpha ) = -\alpha \\ \\ A = \dfrac{\alpha}{\alpha - \beta } \\ \\ \\ \\ B = 1 - \dfrac{\alpha }{\alpha - \beta} \implies \dfrac{\alpha - \beta - \alpha }{\alpha - \beta } \\ \\ =\dfrac{-\beta }{\alpha - \beta} \\ \\ \mathbf{B = \dfrac{\beta }{\beta - \alpha }}[/tex]

D)

[tex]\text{The formula for} a_n: \\ \\ a(x) = \dfrac{\alpha }{\alpha - \beta }\sum \limits ^{\infty}_{n=0} \alpha ^n x^n - \dfrac{\beta}{\beta - \alpha }\sum \limits ^{\infty}_{n=0} \beta x^n \\ \\ \implies \sum \limits ^{\infty}_{n =0} \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta}x^n \\ \\ a_n = \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta } \\ \\ \\ a_n = \dfrac{1}{\sqrt{5}} \Big (\Big( \dfrac{\sqrt{5}+1}{2}\Big)^{n+1}- \Big ( \dfrac{1-\sqrt{5}}{2}\Big) ^{n+1}\Big)[/tex]

Answer:

D) 76 sq in

Step-by-step explanation:

It’s 4 triangles. A=1/2bh

1/2(8)(5)=20 (two of these)

1/2(8)(6)=24

1/2(4)(6)=12

20+20+24+12=76

Answer:

Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.

Step-by-step explanation:

✔️Function A:

Initial value = y-intercept (b)

y-intercept is the value of y, when the corresponding value of x = 0

From the table, y = 6 when x = 0.

The y-intercept of function A = 6

Therefore, initial value for Function A = 6

✔️Function B:

y = 4x + 3 is given in the slope-intercept form, y = mx + b.

b = y-intercept = initial value.

Therefore

Initial value for Function B = 3

✔️Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.