If the original function f(x) = 2x2 - 1 is shifted to the left 3 units to make the function g(x), which expression would represent g(x)?
(1)2(x-3)^2-1 (3)2x^2+2
(2)2(x+3)^2-1 (4)2x^2-4​

Answer:

yellow = 5 bags

red = 4 bags

Step-by-step explanation:

two equations can be derived from the question

x + y = 9 equation 1

6x + 7y = 59 equation 2

where x = number of red onion bags

y =  number of yellow onion bags

Multiply equation 1 by 6

6x + 6y = 54 equation 3

subtract equation 3 from 2

y = 5

substitute for y in equation 1

x + 5 = 9

x = 9 - 5

x = 4

Answer:

1.3

Step-by-step explanation:

tan(x) =16/12

=4/3

=1.33

=1.3

x=tan-1(1.3)

=52.4

Answer:

10.5 km

Step-by-step explanation:

this can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

1² + 4² =

1 + 16 = 17

√17 = 4.123km

4² + 5²

16 + 25 = 41

√41 = 6.40 KM

total distance = 6.4 + 4.12 = 10.52

Answer:

here the value of X should be 8 to make this proportion true

3/8=15/40

by cross multiplying

15*8=40*3

120=120

therefore the option C is correct

Answer:

I believe it’s 3/8 since it’s the highest and that’s the weight most kittens are in the graph.

Step-by-step explanation:

If you want you could wait for somebody else to respond since I could be wrong, but I still hope I was able to help :)

Answer:

Step-by-step explanation:

In ΔFYG & ΔBUH

∠F = ∠B

FY = BU

YG = UH

ΔFYG ≅ ΔBUH   { Angle Side Side congruent}

Answer:

19 Black Buttons

Step-by-step explanation:

1/4 of 40= 10

1/5 of 40= 8

10+8=18

18+4=21

So there are 21 white grey and orange.

The rest are black so 40-21=19

So 19 black buttons

Hope this helps

Step-by-step explanation:

40 button

1/4×40=10 white

1/5×40=8 grey

4 orange

Total=22

Then,subtract

40-22

=18 black buttons

Answer:

95 ≤ 8 < 1/7n

Step-by-step explanation:

95 ≤ 8 < 1/7n

no more = less than or equal to

product of a number n and 1/7 = 1/7•n = 1/7n

Answer:

3 5/12 cups of flour are needed

Step-by-step explanation:

The flour-sugar total is 3 2/3 cups, of which 1/4 cup is sugar.  So, to find the amount of flour used, we subtract 1/4 cup (sugar) from the total (3 2/3 cups):

 11       1

----- - ----              where 11/3 is the improper fraction form of 3 2/3

   3      4

The LCD is 12.  Rewriting this subtraction using the LCD, we get:

44     3

---- - ----- = 41/12 (cups) = 3 5/12 cups

12     12

3 5/12 cups of flour are needed

Answer:

Between 4 and 5

Step-by-step explanation:

The closest square numbers are 16 and 25, so it’s in between 4 and 5

Answer:

The point is (7,0).

Step-by-step explanation:

The equation of a linear function in point-slope form is as follows :

[tex]y-y_1=m(x-x_1)[/tex] ...(1)

Where

(x₁,y₁) are the coordinates of the point which  the line passes through it and (x,y).

Harold correctly wrote the equation y= 3(x–7)

or we can write it as :

y-0=3(x-7) ...(2)

Comparing equations (1) and (2), we get :

x₁ = 7 and y₁ = 0

So, the point is (7,0).

The correct option is (c).

Answer:

C

Step-by-step explanation:

edge

The approximate time when the object hits the ground will be 10 seconds.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

h(t) = (49 + 4.9t)(10 - t)

The time when the object hits the ground is calculated as,

h(t) =

(49 + 4.9t)(10 - t) = 0

If (49 + 4.9t) = 0, then the value of 't' is given as,

49 + 4.9t = 0

t = - 10

The value of time is an absolute value. Thus, this can be neglected.

If (10 - t) = 0, then the value of 't' is given as,

10 - t = 0

t = 10 seconds

The approximate time when the object hits the ground will be 10 seconds.

More about the function link is given below.

https://brainly.com/question/5245372

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Answer:

g(x) = [tex]-\frac{2}{5} (10)^{x}[/tex]

Step-by-step explanation:

Looking at the equation of a Exponential Function:

The a-value [tex](\frac{2}{5})[/tex] determines whether the function reflects over the x-axis. If it's negative it reflects over the x-axis. If it's positive it stays over the x-axis.

bearing in mind that cos(θ) < 0, is just another way to say that cos(θ) is negative, and sin(θ) > 0, is just another way to say that sin(θ) is positive.

Check the picture below.

Answer:

12.5a + 6s = 264.5   and   a + s = 30

Step-by-step explanation:

They also intersect at (17, 13)

(17 student tickets, 13 adult tickets)

Good Luck!

Answer:

[tex]Pr = 0.0479[/tex]

Step-by-step explanation:

Given

[tex]p =23\%[/tex] --- proportion of completed passes

Required

The probability that he has 6 incomplete before he has 1 completion

Let:

[tex]q \to[/tex] proportion of back passes not completed

Using complement rule:

[tex]q = 1 - p[/tex]

[tex]q = 1 - 23\%[/tex]

[tex]q = 1 - 0.23[/tex]

[tex]q = 0.77[/tex]

The event that he has 6 incomplete passes before he completed one is:

q q q q q q p

And the probability is:

[tex]Pr = q * q * q * q * q * q * p[/tex]

[tex]Pr = q^6* p[/tex]

[tex]Pr = 0.77^6* 0.23[/tex]

[tex]Pr = 0.0479[/tex]

The value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the three sides of the right-angled triangle are AB = 26, BC = 24, and AC = 10.

The value of angle tanA will be calculated as:-

tanA = P / B

tanA = 24 / 10

tanA = 12 / 5

Hence, the value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

To know more about Trigonometry follow

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Answer:

x=4, y=-2

Step-by-step explanation:

Answer:

x = 4

y = - 2

Step-by-step explanation:

3x + 8y = - 4

2x - 4y = 16                 Multiply the second equation by 2 and add it to the 1st

3x + 8y = - 4

4x - 8y = 32               Add

7x = 28                      Divide by 7

7x/7 = 28/7

x = 4

2x - 4y = 16              Substitute 4 for x

2*4 - 4y = 16            Combine  

8 - 4y = 16                Subtract 8 from both sides

-4y = 16 - 8

-4y = 8                     Divide by -4

y = 8/-4      

y = - 2

The answer is the D ( the last one)

Answer

Step-by-step explanation:

8^-5/8^-2

=8^5-(-2)

=8^5+2

=8^7

=2097152

Note in division if the base the base are same then u can subtract their exponent but in multiplication bases are same u should add their exponent.

Answer:

the answer will be volume

please mark the answer as the brainlliest one

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

Datos;

una locomotora

recorre 5 horas

a una velocidad de 82 km/h

Se asume que la locomotora lleva un movimiento rectilíneo uniforme.

Su recorrido esta descrito por la siguiente ecuación de posición;

x = x₀+ v · t

x-x₀ = d = v · t

siendo;

d = distancia recorrida

v = 82 km/h

t = 5 horas

Sustituir:

d = (82)(5)

d = 410 km

82km/h * 5h= 410km

La locomotora recorrerá 410km

16

Step-by-step explanation:

10x+2=9x+18

-2 -2

10x=9x+16

-9x -9x

x=16

Hope this helps! :)

Answer:

x = 16°

Step-by-step explanation:

(10x + 2)° = (9x + 18)°

10x + 2 = 9x + 18

10x + 2 - 2 = 9x + 18 - 2

10x = 9x + 16

10x - 9x = 9x - 9x + 16

x = 16°