The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(7, 9)
(–7, 9)
(9, 7)
(9, –7)

Answer:

okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17

explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry  :(

8x+72.8=5x+84.5

8x-5x = 84.5-72.8

3x = 11.7

x = 3.9

x = {3.9}

Answer:

-3(x-4)

Step-by-step explanation:

to factor, you have to find the gcf of both numbers. the gcf is -3

Answer:

-3 (x-4)

Step-by-step explanation:

Take a negative three out of each part of the problem.

Answer:

Yes

Step-by-step explanation:

because if you add that and then you subtract that you get that answer

The correct answer is 0.033.

1) P(after 5 years, all 5 file no claim) \(= 0.132\)

2) P(exactly three claims filed after five years) \(= 0.033\)

Explanation in detail:

1) We're told that the chances of each of these folks not submitting a claim for at least 5 years are 2/3.

As a result, for all five of them

P(all 5 file no claim after 5 years) = \((2/3)^5 = 0.1317 ≈ 0.132\) is the probability.

2) Because the chance of each not submitting a claim in the previous 5 years is 2/3,

After 5 years, the likelihood of each making a claim is \(1 - 2/3 = 1/3\).

As a result, P(exactly three file claim after five years) \(= (1/3)^3 ≈ 0.037\).

What is probability ?

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Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Answer:

y = 1/4x + 5

Step-by-step explanation:

Answer:

y = 1/4x + 5

Step-by-step explanation:

We need to write the equation in slope-intercept form [ y = mx + b ] where m = slope and b = y-intercept. We are given a slope of 1.4 and y-intercept of 5, so fill it into the formula.

y = 1/4x + 5

Best of Luck!

By solving a system of equations we will see that the charge on the first city was $5,000, and on the second city, $4,000.

Let's define the variables:

We know that:

C₂ = C₁ - $1000

And we also know that the total tax is $455, then we can write:

0.035*C₁ + 0.07*C₂ = $455

(this says that the total tax is $455)

So we have a system of equations:

C₂ = C₁ - $1000

0.035*C₁ + 0.07*C₂ = $455

We can replace the first one into the second to get:

0.035*C₁ + 0.07*(C₁ - $1000) = $455

0.105*C₁ - $70 = $455

C₁ = ($455 + $70)/0.105 = $5,000

And:

C₂ = C₁ - $1000 = $5,000 - $1,000 = $4,000

The charge in the first city is $5,000 and in the second city was $4,000.

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Answer:

Horiz asym y=-4/5

Vertical asym x=0

x intercept (5,0)

y intercept : none

Step-by-step explanation:

The highest height covered by the hatchling is approximately 3.19 m.

Here given that,

The angle between birds direction with ground during start is (θ) = 30 degree

Initial speed is given by (u) = 10 m/s

Moons acceleration due to gravity is given by (g) = 3.92 m/s²

Now the highest height covered by the hatchling is given by

max (H) = (u sin θ)²/2g

max (H) = (10 sin 30)²/(2 * 3.92)

max (H) = (5)²/7.84

max (H) = 3.19 [Approximating to nearest hundredth decimal places]

Hence the highest height covered by the hatchling is approximately 3.19 m.

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The major determinant of the permeability of a membrane to a specific ion is "the quantity of open ion channels that are specific to that ion."

Certain cells, known as excitable cells, are distinguished by their capacity to produce electrical signals.

Some key features regarding the open ion channels are-

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Answer:

A,

150 ml

Step-by-step explanation:

Given:

A holds 650 ml

B holds 0.5 litre

Solution:

1) Which container holds the higher amount?

1 litre = 1000 ml

0.5 litre = 1000 / 2 = 500 ml

=> B holds 500 ml

650 ml > 500 ml

2) How much more does it hold?

650 ml - 500 ml = 150 ml

A correlational result can be used to infer causality, but only if the value of r is greater than 0.

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Answer: D

Step-by-step explanation: just think rise over run, everytime it hits a cross in the graph count how many tiles there were between crosses and put the y diffrence on top of the x difference

The angle CAD in the triangle is 17 degrees.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The triangle ABD and ABC are right angle triangle.

Triangle ABC is an isosceles triangle. Therefore, the base angles are equal.

An isosceles triangle is a triangle that has two sides equal to each other and two angles equal to each other.

Therefore,

∠BAC = ∠BCA = 45 degrees

Hence,

∠CAD = 180 - 90 - 28 - 45

∠CAD = 17 degrees

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The probability that a flight between New York City and Chicago is between 125 and 140 minutes is 50%.

To find the probability that a flight is between 125 and 140 minutes, we need to calculate the proportion of the total possible outcomes that fall within that range.

The total range of possible flight times is 150 - 120 = 30 minutes.

The range of interest is 140 - 125 = 15 minutes.

Therefore, the probability is given by the ratio of the range of interest to the total range:

Probability = (Range of interest) / (Total range) = 15 / 30 = 0.5.

So, the probability that a flight is between 125 and 140 minutes is 0.5 or 50%.

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--The given question is incomplete, the complete question is given below " The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120

minutes and a maximum of 150 minutes. What is the probability that a flight is between

125 and 140 minutes?"--

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

Answer:

Simplify:

-15.6/-4

Divide to solve:

You get 3.9

Step-by-step explanation:

-15.6/-4

The option A is corret  quotient of X² + 3X + 2 divided by X + 1 is X + 2.

In HCF by long division method we first divide the greater number by the smallest number and then divide the smaller number by the remainder. We continue the process until we get 0 remainder. The divisor is the HCF of the given numbers.

To find the quotient of X² + 3X + 2 divided by X + 1 using the factorization method, we can first factor the dividend as follows:

X² + 3X + 2 = (X + 1)(X + 2)

Now we can rewrite the original expression as:

(X² + 3X + 2) / (X + 1) = (X + 1)(X + 2) / (X + 1)

Canceling out the common factor of (X + 1), we get:

(X² + 3X + 2) / (X + 1) = X + 2

Therefore, the quotient of X² + 3X + 2 divided by X + 1 is X + 2, which we have obtained using both polynomial long division and the factorization method.

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Answer:36

Step-by-step explanation: 210 divided by 6

Step-by-step explanation:

to find to multiply it 3 times

V=length x width x height

V=25in x 25in x 25in

V=15,625 cubic inches

Answer:

\(V = 15,625 in^3\)

Step-by-step explanation:

The formula for the area of a square is if x is the length of a side

V = x^3

V =25^3

V = 25 · 25 · 25

V = 625 ·25

V = 15,625 in^3

The cοοrdinates οf the fοurth vertex are (4,-1).

Tο find the fοurth vertex οf the parallelοgram, we need tο use the fact that οppοsite sides οf a parallelοgram are parallel and have the same length. We can use the given three vertices tο determine the vectοr representing οne οf the sides οf the parallelοgram. Then, we can extend that vectοr tο find the fοurth vertex.

Let's take the vectοrs representing twο adjacent sides οf the parallelοgram:

v1 = (-4,1) - (-2,-5) = (-2,6)

v2 = (6,-7) - (-4,1) = (10,-8)

Since οppοsite sides οf a parallelοgram are parallel, v1 and v2 must be parallel. This means that we can find the fοurth vertex by adding v1 tο the third vertex, (6,-7):

v4 = (6,-7) + v1 = (6,-7) + (-2,6) = (4,-1)

Therefοre, the cοοrdinates οf the fοurth vertex are (4,-1).

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Complete question:

Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.

AC = 18 + CB, AB = 18 + AD, BC = AB + AC - CB. The measures of the angles of the triangle are m∠BAC = 77°, ∠C = 18° and m∠A = 95°. The lengths of the sides of the triangle are AD = 18, AC = 18 + CB and AB = 18 + AD. The length of the side KL of the triangle KAL is KL = √(AK² + AL²).

AK = √(21² - (25)²) = 20

AL = √(21² - (20)²) = 25

KL = √(20² + 25²) = 29.7

AC = 18 + CB

AB = 18 + 18 = 36

BC = AB + AC - CB = 36 + 18 - CB = 54 - CB

The given information includes the measures of the angles of ΔABC, m∠BAC = 77°, ∠C = 18° and m∠A = 95°, and the length of the side AD = 18. We know that AD⊥CB, so we can use the Pythagorean Theorem to find the length of CB. We have CB = √(AD² - AC²) = √(18² - 18²) = 0. From this, we can calculate the lengths of the sides of the triangle. AC = 18 + CB = 18. AB = 18 + AD = 36. BC = AB + AC - CB = 54 - CB = 54.

The given information also includes the measure of m∠KAL = 100º and OA = 21. We can use the Pythagorean Theorem to find the lengths of the sides AK, AL, and KL of the triangle KAL. AK = √(OA² - AL²) = √(21² - (25)²) = 20. AL = √(OA² - AK²) = √(21² - (20)²) = 25. KL = √(AK² + AL²) = √(20² + 25²) = 29.7.

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Answer:

The point is (-5, -2).

Step-by-step explanation:

Translation to the left means subtract from x value. Translation down means subtract from y value.

Answer:

(-5,-2)

Step-by-step explanation:

Subtract 5 from the x value

Subtract 1 from the y value

So, we know that:

Every 12 hours, the population doubles.

We start with 1000 bacteria.

We want to find the number of bacteria after 72 hours (3 days).

72 / 12 = 6, so we know the population doubles 6 times.

So set up a formula:

It doubles six times, so we must do 2^6 * 1000 = P

P = 64,000 bacteria, or 6.4 x 10^4 in scientific notation.

Answer:

pls that's the answer to the question. thanks.