Given the graph for one quadratic function and the
table of values for another, determine which has a
smaller minimum.

The equation for the parabola is: (x - 1)^2 = 4(y - 5). The vertex of the parabola is located at (1, 5) and the focus is at (1, 1). The equation describes a parabola that opens upward, and is symmetrical about the y-axis.

The equation for the parabola is: (x - 1)^2 = 4(y - 5). This equation describes a parabola with its vertex located at (1, 5) and its focus at (1, 1). The parabola is symmetrical about the y-axis and opens upward. This means that the base of the bulb is at (1, 5) and the top of the bulb is at (1, 1). To get the equation for the parabola, we need to subtract the x-coordinate of the vertex from the x-coordinate of the focus, which gives us 1. We then square this number, giving us 1. We then subtract the y-coordinate of the vertex from the y-coordinate of the focus, giving us 4. We then multiply this number by the squared number from before, giving us 4. The final equation is then (x - 1)^2 = 4(y - 5).

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The required values are for the given angle, as follows: a. sin α is positive. b. sin(π + α) = -sin α. c. cos(2π - α) = cos α.

A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.

a. For an angle α in the first quadrant, sin α is positive.

Since the first quadrant is between 0 and 90 degrees, sin α is equal to the opposite side divided by the hypotenuse, where the opposite side is the y-coordinate and the hypotenuse is the distance from the origin to the point on the unit circle corresponding to the angle α.

b. sin(π + α) = sin (π - α). In the second quadrant (90 < α < 180), sine is negative, so sin(π + α) = -sin α.

c. cos(2π - α) = cos α. The cosine function has period 2π, so cos(2π - α) = cos α.

Since the first quadrant is between 0 and 90 degrees, cos α is positive.

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A coda ulna de las personas le Toccara ulna porcino de 2/3 de Dona

Si mi tía ha legato a la casa y trae consigo 4 Donas de azúcar, pero no se ha percatado que la cantidad de personas en la casa es de 6 contándose, entonces decide repartir en partes iguales, para esta operation deems divider la candida de donnas entre la cantidad de personas

4 donnas / 6 personas = 2 /3 ester 2/3 es la porcino de coda uno es décor coda Dona se picara eon tress torsos y dos torsos para coda persona de 2/3

Respuesta:

para que alkanes les tocaria

a 4 personas la mated de una dona

(osea 2 donas las partes a la mated)

y a las okras 2 personas la Dona entera

Explication paso a paso:

esparto hiver aoudad:)

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In the parallelogram ABCD it is proved that AC ≅ BD, which proves that AC = BD.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

It is given that the parallelogram is ABCD.

In this parallelogram AX ≅ DX, XB ≅ XC.

Now, according to the properties of parallelogram the segment addition can be done.

AC = AX + XC

Similarly, the segment addition for line BD is -

BD = DX + BX

Now if AX ≅ DX and XB ≅ XC, then substitution of  DX and XC can be done -

AC = AX + BX

BD = AX + BX

This proves that AC = BD by the transitive or substitution method.

Therefore, it is proved that AC = BD and also that AC ≅ BD.

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The number of quarters in the bowl is 14.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x+ 3 = 9 is an equation.

We have,

Dimes = x

Quarters = y

10 dimes = $1

1 dime = $0.1

4 quarters = $1

1 quarter = $0.25

Now,

0.1x + 0.25y = 5 _____(1)

x + y = 29 _____(2)

Solve for y from (1) and (2),

x = 29 - y

Substitute in (1) we get,

0.1 (29 - y) + 0.25y = 5

2.9 - 0.1y + 0.25y = 5

2.9 + 0.15y = 5

0.15y = 5 - 2.9

y = 2.1/0.15

y = 14

Thus,

There are 14 quarters in the bowl.

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The triangle with the side lengths and the angle is drawn by the image given at the end of the answer.

The area of the triangle is given as follows:

1.68 inches squared.

The area of a triangle, given two side lengths a and b, and the angle θ between them, is given as follows:

A = ab x sin(θ).

The parameters for this problem are given as follows:

The angle is of 50º, hence the area is given as follows:

A = 1.25 x 1.75 x sin(50º)

A = 1.68 inches squared.

The problem asks for the area of the triangle.

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the angle between the diagonal of a cube and its edge is equal to 35.2 degrees.

Let us consider a cube with side length = a.

Length of diagonal of cube on one of its faces = a√2

Length of diagonal of cube = a√3

To find the angle between the, use law of cosines.

The law of cosines is given by.

⇒ [tex]c^2=a^2+b^2-2abcosC[/tex]

Where c = length of side c, b = length of side b, a = length of side a

C = angle opposite to c

⇒ [tex]c^2=(a\sqrt{2})^2+(a\sqrt{3})^2-2a\sqrt{2}a\sqrt{3}[/tex]

On simplification,

[tex]cosC=\frac{2a^2}{a^2\sqrt{2}\sqrt{3}} \\cosC=\sqrt\frac{2}{3} \\[/tex]

C=35.2 degree

Therefore, the angle between the diagonals is 35.2°

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Answer:

Step-by-step explanation:

we first have to remove the 3 years as it is the difference

then when we divide it we get the age of yeboah=10

as akua is 3 years older we add the3 to the 10= 13

the product is = 10×13=130

5329 Sq meters  is the maximum area that can be enclosed.

What is a rectangle, exactly?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. It is also known as an equiangular quadrilateral for this reason.

                          The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

Perimeter of Rectangle: 2W + 2L

One L is the river so we have 3 sides

220m/3 = 73m

Area of Rectangle is WL

73 × 73 =  5329 Sq meters

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The point (2, 48) means in this context: Cesar and Camden are both 48 kilometers away from home after 2 hours.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

Cesar and Camden are brothers and live at the same house.

Cesar is 80 kilometers away from home and bikes towards home at a rate of 16 kilometers per hour.

Camden is 20 kilometers away from home and keeps walking away from home at a rate of 14 kilometers per hour.

You found that the point of intersection on the graph is (2, 48),

and you solved algebraically to find that x=2 and y = 48.

Cesar and Camden are both 48 kilometers away from home after 2 hours.

Therefore, Cesar and Camden are both 48 kilometers away from home after 2 hours.

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Answer:

see below & attached

Step-by-step explanation:

red line length call it a² = (8√3)²- 12²  = 192-144 =48

so look at the graph we know x is longer than 12,

the portion that's longer than 12 call it c = x-12

top short line call it b

because it's all right angle you are looking at 3 right angle triangles

the big one that's cut into 2 by the red line

the larger one & the smaller one

each will have this property: short side 1 ²+short side 2 ²= long side ²

so for the largest one:

(8√3)² +b² = (12+c)² = x²

second largest triangle we already know all 3 sides: (8√3), 12, √48

now look at the smallest

48+c² =b²

once you have all equations listed , you can solve for c.

see attached.

The interval notation, which describes a set of numbers by using values enclosed in brackets, can be used to express the domain and range. When writing intervals, we place a square bracket around the endpoint when it is part of the set and a parenthesis around it if it is not or if the interval is unbound.

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the data suggests that the difference in average tension bond strengths is greater than 0. In other words, the polymer latex modified mortar has a higher tension bond strength than the unmodified mortar.

a) The rejection region for this one-tailed hypothesis test is z ? z > 2.33.

The test statistic value is z = 2.76.

Therefore, the conclusion is that we reject H0. The data suggests that the difference in average tension bond strengths is greater than 0.

For this one-tailed hypothesis test, we must reject the null hypothesis (H0: m1 - m2 = 0) if the test statistic is greater than 2.33. Our test statistic value is 2.76, which is greater than 2.33, so we reject H0. This indicates that the data suggests that the difference in average tension bond strengths is greater than 0. In other words, the polymer latex modified mortar has a higher tension bond strength than the unmodified mortar.

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Answer:

see below

Step-by-step explanation:

b = √3

then move t to the end you'll see

m= -0.4√13

Answer:

vertex point is (4,-6)

and it opens upwards as the coefficient of x is positive.

I assume B is the correct answer, good luck!

Answer: y/x = k, where k is the constant of proportionality.

Step-by-step explanation:

The proportional connection is represented by the linear equation y equals two-thirds times x.

A proportionate connection is a two-variable relationship in which one variable is a constant multiple of the other. In other words, if y is proportional to x directly, then y = kx for some constant k. This can alternatively be written as y/x = k, where k is the proportionality constant.

The proportionate connection is represented by the linear equation y = 2/3x.

It demonstrates a direct connection since the coefficient of x (2/3) is constant and there is no constant term (y-intercept) to break the proportionality.

The other equations do not have a proportionate connection because they feature a variable coefficient or a constant term.

Answer:

y/x = k, where k is the constant of proportionality.

Step-by-step explanation:

Answer:

I honestly hv iyiu u ughu ugvjug uyvbuyg uugbjug niyhnig mhyij. umnninji. oh jiuh

Answer:

£362.1

Step-by-step explanation:

6.5% =

6.5 / 100 =

65 / 1000 = 0.065

£340 * 0.065 = £22.1  => £22.1 is the pay raise in terms of English pounds(£)

Now add the pay raise to the earnings per week to get the total earnings after the raise:

£22.1 + £340 =

£22.1 + £340.0 = £362.1

To find the zeroes (also known as roots) of a polynomial, we can set the polynomial equal to zero and solve for the variable. The solutions to the equation are the zeroes of the polynomial.

What is a polynomial?

A polynomial is a mathematical expression that is a sum of powers in one or more variables (indeterminates) with non-negative integer exponents and real or complex coefficients. The degree of a polynomial is the highest power of the variable. For example, the polynomial 3x^2 + 2x - 1 is a polynomial of degree 2, and the polynomial 5 is a polynomial of degree 0.

To find the zeroes (also known as roots) of a polynomial, we can set the polynomial equal to zero and solve for the variable. The solutions to the equation are the zeroes of the polynomial.

For example, to find the zeroes of the polynomial 3x^2 + 2x - 1, we set the polynomial equal to zero:

3x^2 + 2x - 1 = 0

Then we can factor the polynomial or use the quadratic formula to find the solutions:

x = (-2 +/- sqrt(2^2 - 43(-1)) ) / (2*3) = (-2 +/- sqrt(4 + 12))/6 = (-2 +/- sqrt(16))/6 = (-1 +/- sqrt(4))/3 = (-1 +/- 2i)/3

The zeroes of the polynomial 3x^2 + 2x - 1 are x = (-1 + 2i)/3 and x = (-1 - 2i)/3, which are complex numbers.

Hence, To find the zeroes (also known as roots) of a polynomial, we can set the polynomial equal to zero and solve for the variable. The solutions to the equation are the zeroes of the polynomial.

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Nick has failed to meet the condition that n p hat greater-than-or-equal-to 10 and n (1 minus p hat) greater-than-or-equal-to 10.

In order for the Central Limit Theorem to be applied and for the sample proportion to be approximately normally distributed, the sample size must be at least 30. This means that the sample size must be large enough so that the sample proportion of healthy breakfast eaters (p hat) and the sample proportion of non-healthy breakfast eaters (1-p hat) are both greater than or equal to 10. In this case, since the sample proportion of healthy breakfast eaters is 20/25 = 0.8, the sample proportion of non-healthy breakfast eaters is 5/25 = 0.2. Since 5 is less than 10, this condition is not met, and Nick cannot construct a confidence interval for p.

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The required equation in slope intercept form is equal to y = -2x - 21.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

Based on the information provided about the line, it is represented by this equation;

2x - y = -21

Making y the subject of formula in the above equation, we have the following:

y = -2x - 21

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Answer:

5 committees can be formed

Step-by-step explanation:

number of teachers=11

number of students=50

number of teachers in a committee=2

number of students in a committee=2

The remainder when the sum Σ 2017 m=2 Q(m) is divided by 1000 is 448.

448

Q(m) is the least positive integer such that for every n ≥ Q(m), there is a perfect cube k^3 in the range n < k^3 ≤ m.

For example, Q(2) = 1 since 1^3 is in the range 1 < 1^3 ≤ 2.

Similarly, Q(3) = 2 since 2^3 is in the range 2 < 2^3 ≤ 3, and Q(4) = 3 since 3^3 is in the range 3 < 3^3 ≤ 4.

We are asked to find the remainder when the sum Σ 2017 m=2 Q(m) is divided by 1000.

To do this, we can calculate the sum of the first 2017 terms of the sequence.

Q(2) + Q(3) + Q(4) + ... + Q(2017) = 448

Since 448 is divisible by 1000, the remainder when the sum is divided by 1000 is 0.

The remainder when the sum Σ 2017 m=2 Q(m) is divided by 1000 is 448.

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[tex] \large \frak{ \green 5 + \red{w }= \green 8}[/tex]

[tex] \: [/tex]

[tex] \ \: \large \frak{ \red{w }= \green 8 { -} \green5}[/tex]

[tex] \: [/tex]

[tex] \underline{ \boxed{ \large \frak{ \: \red{w }= \green 3 \: }}}[/tex]

[tex] \: [/tex]

hope it helps!

The expression for the total number of pages Millie and Lee read each day is 225 + 155.

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

Mille = 225 pages

Lee = 155 pages

The expression to find the total number of pages Millie and Lee read each day is given by the sum of the individual pages

i.e. p = 225 + 155

So, the expression to find p is p = 225 + 155.

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The correct option is e. (Necessarily False) It required by the court to seek counselling

Because it is given as a fact that the child was "required by the court to seek counselling" ; and there is already P -> Q statement; where P : A child is released with no charges. and Q : Child is NOT required by the court to seek counseling. Taking the negation of this [tex]$\sim Q \Longrightarrow \sim P$[/tex]

[tex]$\sim P:$[/tex]Child is released with some charge.

If your child is arrested for a criminal offence and they are under 18, the police must tell you as soon as possible. The police should not interview your child until you are present, unless a delay would mean an immediate risk of harm to someone or serious loss of, or damage to, property.

Legal Counselling is the process by which a lawyer communicates advice to a client. I cannot emphasize anymore over the fact that it is the duty of an advocate to fearlessly uphold the interests of his client by all fair and honorable means without regard to any unpleasant consequences to himself or any other.

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Choosing a white rose at random first and then again at a later time are separate actions. based on the information provided White roses in a vase total four.

All potential results are gathered in a random experiment's sample space. A portion of the sample space is made up of an event connected to a random experiment. A value between 0 and 1 represents the chance of any result. All possible outcomes have a cumulative probability of 1.

A random experiment's sample space, or S, is referred to as the collection of all potential results. The results, often referred to as sample points, in a random experiment are exclusive (i.e., they cannot occur simultaneously). Sample space is the collection of all outcomes that can be found in a random experiment. The S sign stands in for it. the sample space is (S) = (HH), (HT), for two coin tosses, for instance (TT) .

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The length of side LN is equal to 44 units. (Correct choice: A)

Two triangles are similar when these triangles have congruent angles but non-congruent though proportional sides. Triangles LMN and NUV are similar. Therefore, we can determine the length of side LN of geometrical system by means of following relationship:

NV / LN = NU / MN

LN = NV × MN / NU

If we know that NV = 11, MN = 32 and NU = 8, then the length of side LN is:

LN = 11 ×  (32 / 8)

LN = 11 × 4

LN = 44

The side LN has a length of 44 units.

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