Write two numbers that multiply to the value on top and add to the value on the bottom.

Answer:

The line (or "axis") of symmetry is the y-axis, also known as the line x = 0. This line is marked green in the picture. The graph is said to be "symmetric about the y-axis", and this line of symmetry is also called the "axis of symmetry" for the parabola.

The equation of the function g(x), after the translation, is given as follows: g(x) = (x + 2)² + 4.

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

Left a units: f(x + a).

Right a units: f(x - a).

Up a units: f(x) + a.

Down a units: f(x) - a.

The parent function for this problem is given as follows:

f(x) = x².

For this problem, the parent function was moved:

2 units left, hence g(x) = f(x + 2).

4 units up, hence g(x) = f(x + 2) + 4.

Hence the function g(x) is defined as follows:

g(x) = (x + 2)² + 4.

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complete question:

G(x)

15

-10

5

The quadratic function. f(x) = x², is the solid orange line. What is the equation

of g(x), the green dashed line?

Answer:

A. Point T

Step-by-step explanation:

Answer:

A- T (-4.5, 3)

Step-by-step explanation:

A- T (-4.5, 3)

Answer:

A) 33 degrees

Step-by-step explanation:

Since both triangles are congruent, the corresponding angles are congruent, as well. Angle C and Angle F are corresponding angles (meaning that they are the same angle on two different triangles), so their angle measures are congruent. Angle F is 33 degrees, so Angle C is 33 degrees.

Answer:

34

Step-by-step explanation:

8 1/2 x 4

Answer:

$200

Step-by-step explanation:

To find the retail price, multiply the wholesale cost by 1.6

125(1.6)

= 200

So, the retail price will be $200

Answer:

wut-

Step-by-step explanation:

Answer:

32 months.

Step-by-step explanation:

Andy wants a car that costs $8,500.

He already saved $1,300.

$8500 - $1300 = $7200

Andy can save an additional $255 each month.

7200 ÷ 255 = 32

So, it would take Andy 32 months to have enough money to buy the car.

Answer:  A. c = 3d

I'm gonna go with c = 3d

Step-by-step explanation:  c = 3d

After looking at the table I believe the equation would be c=3d. I came to this conclusion because (6)=3(2); (9)=3(3); (15)=3(5); 18=3(6). I really hope this helps!:)

...................................................................................................................................................

Answer:

Step-by-step explanation:

Days  Cost

2          6

3          9

5         15

6         18

Now to find equation that models the given data we will use two point slope form.

Formula:

Substitute the values in the formula

where y denotes the number of days and x denotes the cost

Let us suppose d denotes the number of days and c denotes the cost

So, equation becomes:  

Hence an equation models the data in the table is  

So, option A is true.

Answer:

two

Step-by-step explanation:

i used a calculator

Answer:

freeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

3x+6

Step-by-step explanation:

inverse means the opposite of the sign and the opposite of subtraction is addition so I used addition

The additive inverse of 3x − 6 is -3x + 6

The additive inverse of a number x is a number that when added to x gives a result of 0.

For the expression 3x - 6

The additive inverse is a number that can be added to the expression to get 0. Hence:

The additive inverse of 3x − 6 is -3x + 6

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Answer: left: 5, center: 6, right: 5

Step-by-step explanation:

Answer:

5,5,5

Step-by-step explanation:

Answer:

x=90

Step-by-step explanation:

So, since x-20 is the vertical angle directly near 70, we can say:

x-20=70.

if we solve x is 90.

HOPE IT HELPS!!!!!!!!!!!

Answer:

2x^5/3

Step-by-step explanation:

Answer:

32x small 5

9         32x small 5 over 9

Step-by-step explanation:

Veronika's net income per month is $3,852. Option B

The annual  amount of taxes that Veronika pays:

Annual taxes = 0.18 x $58,200 = $10,476

Annual health insurance = $125/month x 12 months = $1,500

we can calculate Veronika's net annual income by subtracting the taxes and health insurance from her annual salary:

Net annual income = $58,200 - $10,476 - $1,500 = $46,224

We can calculate her net income per month by dividing her net annual income by 12:

Net monthly income = $46,224/12 = $3,852

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Answer: its 0 of 4 you can pick but i think its 4

Step-by-step explanion: i am not good at explaning this math but i know the answer

Answer:

x = 13

Step-by-step explanation:

[tex]a^{2} +b^2 = c^2\\12^2 + 5^2 = c^2\\144 + 25 = c^2\\169 = c^2\\[/tex]

Take the square root of both sides

[tex]\sqrt{169} = \sqrt{c^2} \\13 = c[/tex]

Answer:

(111.5, 155.5)

Step-by-step explanation:

Given the data:

132 127 106 140 158 135 129 138

The Outlier formula :

Lower = Q1 - 1.5(IQR)

Higher = Q3 + 1.5(IQR)

Using a calculator :

Q1 = 128

Median, Q2 = 133.5

Q3 = 139

IQR = Q3 - Q1 = 139 - 128 = 11

Lower = Q1 - 1.5(IQR) = 128 - 1.5(11) = 111.5

Higher = Q3 + 1.5(IQR) = 139 + 1.5(11) = 155.5

(111.5, 155.5)

Answer:

Huatz no te entiendo wuey

Answer:

-8

Step-by-step explanation:

What is the value of this expression? 6 + (-9) - (-5)

6 + (-9) - (-5)

= 6 - 9 + 5

Following the rules of BODMAS, addition comes first before subtraction

= 6 - 14

= - 8

6 + (-9) - (-5) = -8

Note:

- * - = +

- * + = -

+ * - = -

+ * + = +

Then using BODMAS

B - bracket

O - of

D - division

M - multiplication

A - addition

S - subtraction

Answer:

C. y = 14x - 37

Step-by-step explanation:

[tex]y = - 4(4x + 3) + 5(6x - 5) \\ \\ y = - 16x - 12 + 30x - 25 \\ \\ y = 14x - 37[/tex]

Answer:

i cant see it...

Step-by-step explanation:

Answer:

a. Velocidad = 16 m/s

b. Deceleración = 0.64 m/s²

Step-by-step explanation:

Dados los siguientes datos;

Tiempo = 25 segundos

Distancia = 400 metros.

a. Para encontrar la velocidad;

Velocidad = distancia/tiempo

Velocidad = 400/25

Velocidad = 16 m/s

b. Para encontrar la desaceleración;

Durante una desaceleración, la velocidad inicial es mayor que la velocidad final.

Deceleración = (v - u)/t

Sabemos que la velocidad final es igual a cero (0) porque el automóvil se detiene.

Deceleración = (0-16)/25

Deceleración = 16/25

Deceleración = 0.64 m/s²

Answer:

D. There is no solution because 9 ≠ -3.

Step-by-step explanation:

For finding out the statement let's check it ourselves

x + 9 - 4x = - 3x - 3

-3x + 9 = - 3x - 3

9 ≠ - 3

So there is no solution for the equation.

hope it helps :)❤

Answer:

519.8 feet

Step-by-step explanation:

A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.

We solve this question using the Trigonometric function of Sine

sin theta = Opposite/ Hypotenuse

Theta = 12°

Hypotenuse = 2500 feet

Opposite = Height of the hill = x

Hence,

sin 12 = x/ 2500 feet

Cross Multiply

x = sin 12 × 2500 feet

x = 519.77922704 feet

Approximately = 519.8 feet

The height of the hill is 519.8 feet

that is the graph for y=-x-6 just put it into tinspire

Answer:

4

Step-by-step explanation:

Given that:

X = time taken to complete mathematics homework

Y= time taken to complete language homework

Standard deviation of X ; SD(X) = 3

Standard deviation of Y ; SD(Y) = 4

rho = - 0.375

rho = Cov(X, Y) / SD(X) * SD(Y)

-0.375 = COV(X, Y) / 3 * 4

COV(X, Y) = 12 * - 0.375

COV(X,Y) = - 4.5

Variance(X, Y) = V(X, Y)

V(X, Y) = V(X) + V(Y) + 2COV(X,Y)

V(X) =SD(X)² = 3² = 9

V(Y) = SD(Y)² = 4² = 16

V(X,Y) = 9 + 16 + 2(-4.5)

V(X, Y) = 16

SD(X, Y) = sqrt(V(X, Y)) = sqrt(16) = 4

Hence, standard deviation to complete entire homework, SD(X, Y) = 4

Option (B) is correct, A factor of f(x) is x+1.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

Given that,

Function f(x) has one root, which is -1.

Implies that,

for the function f(x),

x = -1,

or (x+1) = 0,

So, (x+1) is the factor of the function f(x).

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