Which graph represents f(x)=(x+2)^2-3?

Answer:

Step-by-step explanation:Homework Progress

22 / 77

P and Q are points on the line 3y - 4x = 12

a) Complete the coordinates of P and Q.

P (0,4

,0)

b) Plot points P and Q on the graph.

Use the tool to plot the coordinates.

c) Draw the line 3y - 4x = 12 for values

of x from -3 to 3.

Using translation concepts, function g(x) is given as follows:

g(x) = x² - 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = x², hence:

g(x) = x² - 3.

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Answer:

y = 36

Step-by-step explanation:

given y varies directly  with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition when x = 5 , y = 15

15 = 5k ( divide both sides by 5 )

3 = k

y = 3x ← equation of variation

when x = 12 , then

y = 3 × 12 = 36

Answer:

Step-by-step explanation:

it would take 30minutes

Answer:

x = 58°

Step-by-step explanation:

Length of tangents drawn to a circle from a point outside the circle, are equal in measure.

By using this property,

Two tangents PQ and PR will be equal.

And angles opposite to these sides will be equal.

Therefore, ∠PQR ≅ ∠PRQ

By triangle sum theorem,

m∠PQR + m∠PRQ + m∠QPR = 180°

x° + x° + 64° = 180°

2x = 180 - 64

2x = 116

x = 58°

Answer:

8(3+4p)

Step-by-step explanation:

8 goes into 24 and 32, so it can be factored out:

\(24+32p=8(3+4p)\)

Answer:

8(3 + 4p)

Step-by-step explanation:

Factor 24 + 32p

First, factor out the GCF. In this case, the GCF is 8, and we have

8(3 + 4p)

We can't factor anymore so the answer is 8(3 + 4p)

Y=1. Cause both land on one bht ones positive and neagitive

I say she eats around 10:30 or whenever she feels like it, but go with my first answer.....

Given:

There are given the equation:

Explanation:

According to the question, we need to find the degree.

So,

From the concept of degrees:

The degree is the largest exponent of the variable.

Final answer:

Hence, the value of the degree is 6.

The equivalent polynomial function is f(x) = -x^3 + 4x^2 = x^2(x - 4)(x^2)

To find the factor form of the given polynomial function f(x) = -x^3 + 4x^2, we need to use the zeros given as inputs. We know that the zeros of a function are the values of x that make the function equal to zero.

We are given two zeros: x = 0 with a multiplicity of 2, and x = 4 with a multiplicity of 1. This means that (x - 0) is a factor of multiplicity 2, and (x - 4) is a factor of multiplicity 1.

To find the other factor, we can use polynomial long division or synthetic division. Since (x - 0) is a factor of multiplicity 2, we will divide f(x) by (x - 0)^2 or (x - 0)(x - 0).

Using polynomial long division or synthetic division, we get:

 -x + 4  

____________

x^2 | -x^3 + 4x^2 + 0x + 0

-(-x^3)

_______

0x^2

0x^2

______

4x^2

-4x^2

______

0

Therefore, we get:

f(x) = -x^3 + 4x^2 = x^2(x - 4)

So the factor form of the given polynomial function is:

f(x) = -x^3 + 4x^2 = x^2(x - 4)(x - 0) = x^2(x - 4)^1(x - 0)^2

or equivalently:

f(x) = -x^3 + 4x^2 = x^2(x - 4)(x^2)

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Answer:

You need to pay $1,759.50 if you get a 15% discount.

Step-by-step explanation:

100%-15%=85%

0.85x2,070=$1,759.50

Answer: 1:2

Step-by-step explanation:

24 ÷ 12 = 2

12 ÷ 12 = 1

Answer to the question is 1:2

Answer:

1432.9

Step-by-step explanation:

It's already rounded to the nearest tenths place therefore you don't need to round it any further.

The area between the solid line (y=x+4) and the dotted line (y=-2x-2) represents the system of inequalities solution set.

Two linear inequalities system on a coordinate plane. The first has a solid line graphed with a negative slope of one, a negative y-intercept, and a shaded origin area. The area encompassing the origin is shaded, and the second is a dashed vertical line 3 units to the left of the origin.

x ≥ –3; y ≥ x – 2

x > –3; 5y ≥ –4x – 10

x > –3; y ≥ –x + 1

x > –2; y ≥ –x – 1

The solution set for the system of inequalities is represented by the region between the solid line (y=x+4) and the dotted line (y=-2x-2).

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Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equation of the line is y = (3/2)x + 1.

To find the y-intercept of the line, substitute x = 0 into the given equation,

y = (3/2)(0) + 1

y = 1

Note that the y-intercept of the graph of the line is also 1.

The graph of the line passes through points (2,4).

To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:

4 = (3/2)(2) + 1

4 =4

The equation is true.

Hence, it can be said that the given equation represents the graph of the line.

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The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:

144 sq inches

Step-by-step explanation:

3ft= 36 inches

36 * 4= 144

Answer:

Daniel's Mistake was that she didnt add all the sides

Step-by-step explanation:

She only added the right side of the triangle, and the right and bottom sides of the square. She is missing the left of the triangle, which is another 6x-4, and the left side of the square, which is 12x +3.

Using these sides the answer should look like this,

set up your problem

1) (6x-4)*2 + (12x+3)*2 + (14x+13)

multiply your 2's in

2) (12x-8) + (24x+6) + (14x+13)

simplify

3) 50x + 11 is your answer

Daniel's mistake was that she didn't add all the sides. The correct perimeter is 50x + 11.

The perimeter of the shape is defined as the sum of all the sides. Here in the image, the perimeter will be the sum of all the sides of the triangle and rectangle.

She only added the right side of the triangle, and the right and bottom sides of the square. She is missing the left of the triangle, which is another 6x-4, and the left side of the square, which is 12x +3.

The perimeter will be calculated as below:-

P = Sum of the sides of the triangle + Sum of the sides of the rectangle

P = (6x-4)*2 + (12x+3)*2 + (14x+13)

P = (12x-8) + (24x+6) + (14x+13)

P =50x + 11

Therefore, Daniel's mistake was that she didn't add all the sides. The correct perimeter is 50x + 11.

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Answer:

The answer to this problem is $178.00 because $140.00 + $25.00 = $165.00 + 8% sales tax is $178.00

Step-by-step explanation:

Answer:

$176.20

Step-by-step explanation:

Bill + tax = 108% of 140

108% can be written as decimal number 1.08

of = multiply

1.08 * 140 = 151.2

Now, add on the tip, 151.2 + 25 = 176.2

The answer is $176.20

Hope this helps :)

Have a great day!

Answer:

1×10 exponent 12

Step-by-step explanation:

hipe that helped

Answer:

Hi, I'm new can I get marked as Brainliest It would be highly appreciated.

Hope my answer helps :)

lets get into answering your question.

Step-by-step explanation:

1e+12

10 makes the statement true

1,000,000 is 10 times greater than 100,000.

Given :

We use 10 or 100 or `1000 to make each statement true

1,000,000 is-------------times greater than 100,000.

Lets multiply 100,000 by 10 or 100 or 1000 and check

\(100,000 \cdot 10= 1,000,000\\100,000 \cdot 100= 10,000,000\\\\100,000 \cdot 1000= 100,000,000\\\)

From this we can see that

1,000,000 is 10 times greater than 100,000.

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Answer:

Step-by-step explanation:

Let P be the population of the community

So the population of a community increase at a rate proportional to the number of people present at a time

That is

\(\frac{dp}{dt} \propto p\\\\\frac{dp}{dt} =kp\\\\ [k \texttt {is constant}]\\\\\frac{dp}{dt} -kp =0\)

Solve this equation we get

\(p(t)=p_0e^{kt}---(1)\)

where p is the present population

p₀ is the initial population

If the  initial population as doubled in 5 years

that is time t = 5 years

We get

\(2p_o=p_oe^{5k}\\\\e^{5k}=2\)

Apply In on both side to get

\(Ine^{5k}=In2\\\\5k=In2\\\\k=\frac{In2}{5} \\\\\therefore k=\frac{In2}{5}\)

Substitute \(k=\frac{In2}{5}\)  in \(p(t)=p_oe^{kt}\) to get

\(\large \boxed {p(t)=p_oe^{\frac{In2}{5}t }}\)

Given that population of a community is 9000 at 3 years

substitute t = 3 in \({p(t)=p_oe^{\frac{In2}{5}t }}\)

\(p(3)=p_oe^{3 (\frac{In2}{5}) }\\\\9000=p_oe^{3 (\frac{In2}{5}) }\\\\p_o=\frac{9000}{e^{3(\frac{In2}{5} )}} \\\\=5937.8\)

Answer:

4/14

Step-by-step explanation:

Answer: A. AB = BC can be proven true.

An isosceles triangle has two equal side lengths, and since the vertex angle is angle C, it means that sides AB and BC are the equal sides.

B. angle A = angle B can be proven true.

In an isosceles triangle, since the two sides are equal, the base angles are also equal.

D. segment BC = segment AC can be proven true.

In an isosceles triangle, since the two sides are equal, the base segments are also equal.

E. segment AB = segment AC can be proven true.

In an isosceles triangle, since the two sides are equal, the base segments are also equal.

C. angle B = angle C is not true.

Because the vertex angle is angle C, and it is formed by the two base segments, so it will be different than angle B and angle A.

Step-by-step explanation:

Answer:

  B, D

Step-by-step explanation:

You want to know what you can prove, given that the vertex angle of isosceles triangle ABC is angle C.

A triangle is isosceles if it has two congruent sides or two congruent angles. In either case, the angles opposite the congruent sides are congruent, and vice versa.

The vertex angle is opposite the "base" of the isosceles triangle. The sides of the vertex angle are the congruent sides, and the angles that are not the vertex angle are the congruent angles.

These sides share point B, which is not the vertex. This cannot be proven.

These are the base angles of the triangle, hence congruent. This can be proven.

These angles cannot be proven congruent using the given information. This will be true if and only if the isosceles triangle is also an equilateral triangle.

These sides share point C, which is the vertex. This can be proven.

These sides share point A, which is not the vertex. This cannot be proven.

9514 1404 393

Answer:

  (a)  -4

Step-by-step explanation:

The picture is fuzzy, but perhaps you want to evaluate ...

  \(-1\left|\dfrac{2}{3}-4\right|\div\dfrac{5}{6}=-1\left|-\dfrac{10}{3}\right|\div\dfrac{5}{6}\\\\=-\dfrac{10}{3}\div\dfrac{5}{6}=-\dfrac{20}{6}\div\dfrac{5}{6}=-\dfrac{20}{5}=\boxed{-4}\)

Answer:

64

8x3

125x9

Step-by-step explanation:

The answer for it on edge would be: A, C, and F

Answer:

f(x)= -3x + 400

Step-by-step explanation:

\(\frac{x-x_{1} }{x_{2}-x_{1} } = \frac{y-y_{1} }{y_{2}-y_{1} }\)

\(\frac{x-3}{13-3} =\frac{y-391}{361-391}\)

-3 ( x-3 ) = (y - 391 )

-3x + 400

Answer:

he is correct

Step-by-step explanation:

Answer:

33.9

Step-by-step explanation:

r = d/2

= 5.4

\(2\pi \: r\)

\( = (2)(\pi)(5.4)\)

=33.93