What is the equation of the parabola shown with its focus on this graph?

The expression is equivalent to the expression (12 + 3) ÷ 5 is (3 + 12) ÷ 5

From the question, we have the following parameters that can be used in our computation:

(12 + 3) ÷ 5

The above expression is a quotient expression

However, we can apply some algebraic properties

Take for instance;

12 + 3 can be expressed as 3 + 12

So, we have

(12 + 3) ÷ 5 = (3 + 12) ÷ 5

Hence, the expression is equivalent to the expression is (3 + 12) ÷ 5

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Answer:

225%

Step-by-step explanation:

To find what percentage one number is of another number, you can use the following formula:

percentage = (part/whole) x 100%

In this case, 54 is the part and 24 is the whole. So we can plug these values into the formula and solve for the percentage:

percentage = (54/24) x 100%

percentage = 2.25 x 100%

percentage = 225%

Therefore, 54 is 225% of 24.

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

In order to ensure that depositors would get their money back in the event of a bank run, the Federal Reserve can support the bank by lending money to the bank. Option C

When a bank faces a bank run and experiences a sudden and significant increase in withdrawals, it may face a liquidity crisis, meaning it may not have enough cash on hand to meet the withdrawal demands of depositors.

To address this, the Federal Reserve can step in and provide loans or emergency funding to the bank to help it meet its obligations to depositors. This lending can help stabilize the bank's liquidity position and ensure that depositors are able to access their funds.

It is important to note that this support from the Federal Reserve is typically done on a temporary basis and is intended to help address the immediate liquidity needs of the bank during a crisis

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Answer:

the answer is 1760

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y, z) = (-3, -1, 3)

Step-by-step explanation:

Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.

Use the last equation to write an expression for z.

  z = 4 -x +4y

Substitute this into the second equation:

  y -4(4 -x +4y) = -13

  y -16 +4x -16y = -13

  4x -15y -3 = 0

In genera form, the first equation can be written as ...

  3x +y +10 = 0

Now, the solution to these two equations can be found to be ...

  x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"

  y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation

  z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z

The solution to the system is (x, y, z) = (-3, -1, 3).

_____

Additional comment

Written as an augmented matrix, the system of equations is ...

  \(\left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]\)

The expression without absolute value bars is 3.84.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

|√10 - 7 |

= | 3.16 - 7 |

= | -3.84 |

= 3.84

Thus,

The value of the expression is 3.84.

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(1) +8,+4,0,+2,+3 = 0 , 2 , 3 , 4 , 8

(2) -1,-11,-5,-0,-12 = -12 , -11 , -5 , -1 , -0

A graph which represents the system of inequalities is: B. The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading below the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading above the line.

In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.

In Mathematics, there are two (2) main rules that are generally used for writing and interpreting an inequality plotted on a graph and these include the following:

Additionally, the y-value for this inequality graph intersects the x-axis at -1.5 and the boundary line is dashed (dotted) and shaded above to indicate that the boundary is not part of the solution, and this must be represented with the greater than (>) inequality symbol.

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Answer:

(-8, 1) (0, 2)

Step-by-step explanation:

line up the dots and then u do slope

Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

Answer:

282.74

Step-by-step explanation:

A=2πrh+2πr2=2·π·5·4+2·π·52≈282.74334

Answer:

\(x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\\)

Step-by-step explanation:

As the given Augmented matrix is

\(\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right]\)

Step 1 :

\(r_{1}\)↔\(r_{1} - r_{2}\)

\(\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right]\)

Step 2 :

\(r_{3}\)↔\(r_{3} - 8r_{1}\)

\(\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right]\)

Step 3 :

\(r_{2}\)↔\(\frac{r_{2}}{7}\)

\(\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right]\)

Step 4 :

\(r_{1}\)↔\(r_{1} + 14r_{2}\) , \(r_{3}\)↔\(r_{3} - 124r_{2}\)

\(\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right]\)

Step 5 :

\(r_{3}\)↔\(\frac{r_{3}. 7}{254}\)

\(\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right]\)

Step 6 :

\(r_{1}\)↔\(r_{1} - 4r_{3}\) , \(r_{2}\)↔\(r_{2} + \frac{1}{7} r_{3}\)

\(\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right]\)

∴ we get

\(x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\\)

Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.

Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:

Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.

Write down the equation x + y = -8.

Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.

Substitute this expression for x into the first equation: (-8 - y) * y = -65.

Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.

Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).

This gives us two possible values for y: -13 and 5.

Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.

So, the two numbers that multiply to -65 and add to -8 are -13 and 5.

Answer:

★ The two factors of the number 221 are 13 and 17.

A factor refers to a whole number, which fits evenly into another whole number. Thus, factors are the numbers, which we multiply together to get another number. The two numbers that can be multiply together to get 221 are 13 and 17.

Step-by-step explanation:

Hope you have a great day :)

Answer:

6a^2

Step-by-step explanation:

a^2= 8^2

a^2=64

Total surface area=6×64

answer= 384cm^2

hope this helps :)

An initial investment of $5,951.71 is needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly.

To determine the amount of money needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly, we need to use the formula for compound interest.

The formula is A = P(1+r/n)^(nt), where A is the final amount, P is the initial investment, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

Using the given information, we can plug in the values and solve for P. A = $7,000, r = 0.025, n = 4, and t = 4.

A = P(1+r/n)^(nt)

A = P(1+0.025)^4
$7,000 = P(1+0.025/4)^(4*4)
$7,000 = P(1.00625)^16
P = $5,951.71
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Answer:

a. .0554

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability of success is .06.

This means that \(p = 0.06\)

What is the probability of two successes in seven trials?

This is P(X = 2) when n = 7. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{7,2}.(0.06)^{2}.(0.94)^{5} = 0.054\)

The correct answer is given by option a.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

Step-by-step explanation: they will form a straight line, passing through the origin.

let the radius of the first one be r

then the first point is (2r, 2πr)

slope of line passing through (0,0) and (2r, 2πr)

= (2πr)/(2r)

= π

The slope of the resulting line is π.

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, A company logo has 4 concentric circles. you graph the points (diameter, circumference) and connect them with a line.

They will form a straight line, passing through the origin.

Let the radius of the first one be r

Then the first point is (2r, 2πr)

Slope of line passing through (0,0) and (2r, 2πr)

= (2πr)/(2r)

= π

Hence, The slope of the resulting line is π.

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Answer: 4 red and 12 blue

Step-by-step explanation: Answer to 9

We know that for every red rose, he plants 3 blue flowers. The rate is 1:3. If he grows 16, there will be 4 red roses and 12 blue ones. This is because the rate is 1:3 then there are 4 flowers in all. This is 1/4 of how much he wants to grow. So multiply each type of plant by 4. 1 times 4 is 4, so there are 4 red ones. 3 times 4 is 12, so there are 12 blue ones. Hope this helps!

Answer:

No solution

Step-by-step explanation:

25x-4=5(5x+4)

Distributive Property= 25x-4=25x+20

Solve for x

-4=20

Not possible so no solution.

Answer:

A

Step-by-step explanation:

6x + 19x -4 = 5(5x+4)

6x + 19x -4 = 25x+20

6x + 19x- 25x = 20+4

Combine Like terms

0 = 20 +4

0 = 24

0 = 24 = No solution

Answer:

Step-by-step explanation:

148 people

Answer:

C ( 7, -3 )

Step-by-step explanation:

Question:

which point is 8 units away from ( 7, 5 ) ?

Choices:

A : (0,-3 )B (15,13) C ( 7, -3 ) D ( 1, 5 )

Solution:

(7, 5) and (7, 3) have the same x-coordinate, 7.

They are both on a vertical line that passes through point (7, 0).

(7, 5) is 5 units above the x-axis.

(7, -3) is 3 units below the x-axis.

5 + 3 = 8

(7, 5) and (7, 3) are 8 units apart.

Answer: C ( 7, -3 )

Answer:

You paid $8.06

Step-by-step explanation:

3.25 pounds times $2.48 per pound is 8.06.

Can I have brainliest pls :D

Hope this helps

The quartiles of the distribution are given as follows:

The sample size of the distribution is of:

n = 40.

The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:

The second quartile is the value that is greater than 50% of the  distribution, hence it is the value at the position which is 50% of the sample size, hence:

The third quartile is the value that is greater than 75% of the  distribution, hence it is the value at the position which is 75% of the sample size, hence:

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