Describe the transformation of f(x) to g(x).
(answers and graph in picture) PLSSSS HELP ​

same i pass im at like 70% Step-by-step explanation:

Answer:

33.3% I think lpl

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's FOIL this out and get it into standard form. That gives us:

[tex]h(t)=-4.9t^2+490[/tex] For #1, then:

The height of something when it is on the ground is 0; that means that the h(t) is 0. This allows us to factor the quadratic and solve for t:

[tex]-4.9t^2=-490[/tex] and divide both sides by 4.9 to get

[tex]t^2=100[/tex] so

t = 10. Notice that one of the factors for that quadratic is 10 - t. That factor represents the time it takes to hit the ground. So you might ask why, then, we FOILed this out in the first place if the answer was ight in front of our noses. The reason is becase of #2 that is asking us what the initial height of the object was. That is found in the standard form...in the constant in particular. The initial height is 490 m. That's how you know (because the constant represents the height from which an object is dropped in either free fall, which this is, or in parabolic motion).

The question is incomplete. The complete question is :

M and n are both integers. Select all the statements that are true if m and n are also equal to each other.

A. m - n = n - m

B. 0 = m - n

C. m + (-n) = m - n

D. m + n = 0

Answer :

A. m - n = n - m

B. 0 = m - n

C. m + (-n) = m - n

Explanation :

It is given that m and n are integers and they both are equal to each other.

i.e. m = n

Therefore for option (A),

m - n = n - m

m - m = m - m   (since m and n are equal)

0 = 0

Therefore, the statement (A) is true.

For option (B),

0 = m - n

0 = m - m      (since m and n are equal)

0 = 0

Therefore, the statement (B) is true.

For option (C),

m + (-n) = m - n

m + (-m) = m - m    (since m and n are equal)

m - m = m - m

0 = 0

Therefore, the statement (C) is true.

Now for option (D),

m + n = 0

m + m ≠ 0    (since m and n are equal)

2m ≠ 0

Therefore, the statement (D) is false.

Hence, the options (A), (B) and (C) are true.

Note: The image of G after the dilation must be G'(5,-5) instead of G'(5,5).

Given:

The vertices of a rectangle are E(4,8), F(2,8), G(2,-2) and H(-4,-2).

The rectangle is dilated with the origin as the center of dilation so that G's is located at (5,-5).

To find:

The algebraic representation that represents this dilation.

Solution:

If a figure is dilated by factor k with origin as the center of dilation, then the dilation is defined as:

[tex](x,y)\to (kx,ky)[/tex]              ...(i)

Let the given rectangle is dilated by factor k with origin as the center of dilation. Then,

[tex]G(2,-2)\to G'(k(2),k(-2))[/tex]

[tex]G(2,-2)\to G'(2k,-2k)[/tex]

The image of G after dilation is G'(5,-5). So,

[tex](2k,-2k)=(5,-5)[/tex]

On comparing both sides, we get

[tex]2k=5[/tex]

[tex]k=\dfrac{5}{2}[/tex]

So, the scale factor is [tex]k=\dfrac{5}{2}[/tex].

Substituting [tex]k=\dfrac{5}{2}[/tex] in (i), we get

[tex](x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)[/tex]

Therefore, the required algebraic representation to represents this dilation is [tex](x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)[/tex].

Answer:

(T - 1)(x, y) = (x - 4, y - 3)

Step-by-step explanation:

For a given transformation:

T(x, y) = (x', y')

the inverse transformation is defined by:

(T - 1)(x', y') = (x, y)

So, if our transformation is:

T(x, y) = (x + 4, y + 3)

Then for the inverse transformation, we should have:

(T - 1)(x + 4, y + 3) = (x, y)

So the inverse transformation reduces the x-value by 4, and reduces the y-value by 3.

Writing the inverse transformation for a generic (x, y) point, we get:

(T - 1)(x, y) = (x - 4, y - 3)

Step-by-step explanation:

the cost of 1 kg mangoes = 147/ 5

= Rs. 29.40

mark me as brainliest

Answer:

cost of 1 kg mango = rupees 29.4

Step-by-step explanation:

cost of 5 kg mangoes =rupees 147

cost of 1 kg mango =?

Now, lets find cost of 1 kg mangoes

CP od 1 kg mangoes = cost of 5 kg mangoes/5 kg

=rupees 147/5

=rupees 29.4

Answer:D

Step-by-step explanation:

Answer:

The height of the water increases 2 inches per minute. Or A

Step-by-step explanation:

Edge

Answer: A ( The height of the water increases 2 inches per minute)

Answer:

[tex]AB[/tex] is parallel to [tex]CD[/tex] ([tex]AB ||CD[/tex])

Step-by-step explanation:

In a set of parallel lines cut by the traversal, [tex]\angle AHG[/tex] and [tex]\angle DGH[/tex] are alternate interior angles. In a set of parallel lines cut by a traversal, alternate interior angles are always equal. Therefore, since [tex]\angle AHG=\angle DGH=115^{\circ}[/tex] (they are equal), the lines AB and CD must be parallel.

*A set of parallel lines proves that alternate interior angles are always equal, but the converse is also true in that equal alternate interior angles proves a set of parallel lines. This is because if you changed the angle measure of either of the angles, the relative slope of the lines must change and they would no longer be parallel.

Answer:

320

Step-by-step explanation:

(2 / 50) * 8000 = 320

Answer:

320

Step-by-step explanation:

Answer:

t = {(v - s) + ab} / a

Step-by-step explanation:

a = (v - s) / (t - b)

Make t the subject of the equation

a = (v - s) / (t - b)

Cross product

a * (t - b) = (v - s)

at - ab = (v - s)

Add ab to both sides

at = (v - s) + ab

t = {(v - s) + ab} / a

Answer:

J - (0, 4) K - (2, 3) L - (3, 4) M - (4, 1) N - (1, 2)

Step-by-step explanation:

So, the first number, is the value on the x axis, The second number, is the value on the y axis.

So lets look at each point. J is at 0 on the x axis, and 4 on the y axis.

K is at 2 on the x axis, and 3 on the y axis.

L is at 3 on the x axis, and 4 on the y axis.

M is at 4 on the x axis, and 1 on the y axis.

Finally, n is at 1 on the x axis, and 2 on the y axis.

Since we write coordinates as (x, y):

K is (2, 3)

L is (3, 4)

M is (4, 1)

N is (1, 2)

Hope this helps!

Answer:

4^5

4 by the power of 5

Step-by-step explanation:

4 times the amount of 4's

4 times 5 does not equal 4^5 and is not the answer

it is 4 by the power of 5

Answer:

The lateral area of a cone is 141.4 square centimeters

Step-by-step explanation:

Mathematically, we have the formula for the lateral area of a cone as;

A = pi * r * l

where r is the radius of the cone and l

is the slant height of the cone

Mathematically, the radius is simply half the measure of the diameter

we have that as 10/2 = 5 cm

So substituting these values;

A = 22/7 * 9 * 5

A = 141.4 square centimeters

Answer:

5416.96 square yards

Step-by-step explanation:

To find the maximum possible area, increase the dimensions by 15%, since the measurement error may be up to 15%.

512(1.15) = 588.8

8(1.15) = 9.2

Find the area using the area formula, A = lw

Plug in the length and width:

A = lw

A = (588.8)(9.2)

A = 5416.96

So, the maximum possible area is 5416.96 square yards

The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

Then Value of b is - 12.

Option(B) is correct answer.

An expression is a mathematical phrase combining numbers and/or variables using mathematical operations. Both sides of an equation are expressions.

According to the question,

The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

[tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]

⇒ [tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]

⇒[tex]2x+x^{2} -14x+49=x^{2} +bx+49[/tex]

⇒ [tex]x^{2} -12x+49=x^{2} +bx+49[/tex]

⇒[tex]-12x=bx[/tex]

⇒ [tex]b=-12[/tex]

∴  [tex]b=-12[/tex]

Hence, the expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

Then Value of b is - 12.

Option(B) is correct answer.

Learn more about expression here

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Answer:

~ 97 ft

Step-by-step explanation:

cos = adj/hyp

cos61 = adj/200

200 * cos61 = adj

adj = 96.961924049267406

~ 97 ft

The foot of the cable is 95 feet away from the base of the tree.

Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle.

We have,

The angle between the ground and the cable is given as 61º.

In a right triangle, the side opposite the angle (in this case, the height of the tree) is related to the hypotenuse (the length of the cable) and the adjacent side (the distance from the foot of the cable to the base of the tree) by the trigonometric function cosine.

Cosine(angle) = adjacent/hypotenuse

Cos(61º) = adjacent/200 ft

adjacent = Cos(61º)x200 ft

adjacent ≈ 0.475 x 200 ft

adjacent ≈ 95 ft

Therefore, the foot of the cable is 95 feet away from the base of the tree.

Learn more about Trigonometric Ratio here:

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Answer:

[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]

Answer:

clover

Step-by-step explanation:

because

The measure of angle ∠x = 28°.

We have a geometrical figure [Refer to the image attached in the end].

We have to prove that x = 28°.

The measure of straight angle is 180°.

According to the question -

Line DLG is a Straight line. Therefore -

2∠x + 124° = 180°

2∠x = 56°

∠x = 28°

Hence Proved.

To solve more questions on finding unknown angles, visit the link below-

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Answer:

2

Step-by-step explanation:

There are 4 x's at 1 mile so he took 4   1 mile hikes

There are 2 x's at 1 1/4 mile so he  took 2  1 1/4 mile hikes

We want to know how many more 1 mile hikes than 1 1/4 mile hikes

4 -2 = 2

Step-by-step explanation:

base is 12, hypotenuse is 20

so X² is h²-b²

so X=16

Answer:

Step-by-step explanation:

The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.

Write a system of inequalities that can be used to represent this situation.

The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer

Answer:

the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)

Step-by-step explanation:

after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)

after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)

after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)

Answer:

your answer is option B

Answer:

Your answer came out to be B.