a salad dressing recipe uses 10 parts oil,4 parts vinegar,and 2 parts honey.Which of the following sets of ingredients are in a proportional relationship with the recipe?select all that apply.

Using the Quadratic Formula to solve the equation  4x² + 1 = 10x, we get x₁ = 0.104 and x₂ = 2.395.

The term "quadratic equation" refers to an equation of the form ax2 + bx + c = 0, where a, b, and c are real numbers and a0 is an imaginary number. The quadratic equation's roots are the values of the unknown variable x that satisfy the given quadratic equation.

A + b + c, for instance, equals zero if is a root of the quadratic equation ax² + bx + c = 0. Additionally, the act of locating roots is referred to as solving a quadratic equation.

The quadratic formula is

[tex]$ {\displaystyle \text x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}[/tex]

We have given the quadratic equation 4x²+ 1 = 10x

= 4x² -10x + 1

Pouting the values in the formula we get

[tex]{\displaystyle \text x={\frac {-(-10)\pm {\sqrt {(-10)^{2}-4(4)(1)}}}{2(4)}}}[/tex]

On solving we get

[tex]$ \text x_1 = \frac{5-\sqrt{21} }{4}[/tex] and [tex]$ \text x_2 = \frac{5+\sqrt{21} }{4}[/tex]

Approximately,

x₁ = 0.104

x₂ = 2.395

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Answer: A quadratic function is a polynomial function of form f(x) = ax^2 + bx + c where a,b, and c are constants, and a is not equal to zero.

The given functions are:

8 - 5x = 4(3x - 1)

(4a + 2)(2a - 1) + 1 = 0

2y + 2(3y - 5) = 0

2b(b - 7) + b = 0

The quadratic function(s) among them are:

2. (4a + 2)(2a - 1) + 1 = 0

2b(b - 7) + b = 0

The first one 8 - 5x = 4(3x - 1) is linear and not a quadratic function, and the third one 2y + 2(3y - 5) = 0 is also linear, not a quadratic function.

Note that to identify a quadratic function, we can look for the pattern of x^2 or y^2 in the equation.

Also, we could expand the second degree polynomials in the form (ax^2+bx+c) and check if there are x^2 or y^2 term on both sides of the equation.

Step-by-step explanation:

Answer:

y = [tex]\frac{-A}{B}[/tex] x + [tex]\frac{C}{B}[/tex]

y = 6/5 x + 9/5

Step-by-step explanation:

Ax  + By = C  Subtract Ax from both sides

Ax - Ax + By = -AX + C

By = -AX + C  Divide both sides by B

y = [tex]\frac{-A}{B}[/tex] x + [tex]\frac{C}{B}[/tex]

-6x + 5y = 9   Add 6x to both sides

-6x + 6x + 5y = 6x + 9

5y = 6x + 9  Divide both sides by 5

y = 6/5 x + 9/5

Answer: The answer is 5x5=25 rows of crops.

Step-by-step explanation:

A farmer has 5 acres of land and wants to plant 5 rows of crops on each acre. How many total rows of crops will the farmer have planted?

The answer is 5x5=25 rows of crops.

Answer: There were 5 groups of cats, and there 5 cats in each group. How many cats are there in total?

Answer:

BC = 8

Step-by-step explanation:

If AC is the perpendicular bisector of BD then

BC = CD = BD/2

BD/2 = 8

So BC = 8

Answer:

the answer is

Step-by-step explanation:

Answer:  A. 0

This system of equations has no real solutions. The equation x² + y² = 36 represents a circle with center (0,0) and radius 6, while the equation 3x - y + 1 = 0 represents a line in a 2-dimensional plane. Since a line and a circle do not intersect at exactly one point in general, this system of equations have no common point, and therefore no real solutions.

Step-by-step explanation:

Answer:

A) The relation is a function.  Every input (x) and only one output (y)

B) Domains are the x values: 1,2,3,4,5,6

The Ranges are the y values: 1,4,9,16,25,36

Step-by-step explanation:

The total number of tomato plants is given as follows:

768 tomato plants.

The total number of tomato plants is obtained according to the proportions in the context of this problem.

The use of the proportion is because the total number of tomato plants is given by the multiplication of the number of plants by the number of rows.

The parameters for this problem are given as follows:

Hence the total number of tomato plants is obtained as follows:

96 * 8 = 768 plants.

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The concept given is a Probability, It is a branch of mathematics that deals with the occurrence of a random event. The answer is P(A|B)=P(B|A).

Probability is the branch of mathematics concerning numerical descriptions of how probable an event is to do, or how likely it's that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Inverse probability is the probability of unobserved effects; or, more technically, the probability distribution of an unobserved variable. It's generally considered an obsolete term.

In probability proposition and statistics, an inverse distribution is the distribution of the complementary of an arbitrary variable. Inverse distributions arise in particular in the Bayesian environment of previous distributions and posterior distributions for scale parameters.

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3 containers, 1 cup, 12 cup, 16 cups

Samuel will need

3 containers.

The total solution will include

cup(s) 1 of vinegar,

cup(s) 12 of rubbing alcohol, and

cup(s) 16 of water, which is a total of

cups of solution. Five containers will hold 5 × 6, or 30 cups of solution. So, he will need 3 total containers to hold all of the solution.

Ingredients refer to the materials or apparatuses combined together to have a single product. In other words, ingredients are the chemical makeups of a refined product which combine together to have new and entirely different product.

The ingredients for a homemade all-purpose household cleaner, in this case, are vinegar, rubbing alcohol, and water.

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The measure of the exterior angle is 70° .

Exterior angle = Sum of two opposite interior angles of a triangle.

           (2x- 8)° = x° + 31°  

               2x- x = 31 +8

                     x = 39

So, Substituting the value of x in the exterior angle.

(2x- 8)° = 78 - 8

             = 70°

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The table that represents the relation are out put 3 input 3, input 2 out put -1, input 5 out put -4.

Find out if a table of input and output values is a representation of a function. The input and output values should be noted.

Verify that every input value is matched with just one output value. Consequently, the table is a function in that case.

A relation is a rule that links the constituents of one set to those of another. Relationships can be visualized using graphs, ordered pairs, tables of values, equations, or mapping diagrams. Every input in a relation results in one or more outputs.

According to question:-

out put 3 input 3

input 2 out put -1

input 5 out put -4.

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Answer:

The brother has 30 dollars.

Step-by-step explanation:

Alright

So if you have 53 dollars

And your brother has 23 less dollars than you.

You subtract.

53-23=

Which will give you 30

So in the end

Your brother has 30 dollars.

The sum of angles of a triangle formed in a spherical geometry exists equivalent to 180∘.

The sum of angles of a triangle formed in a spherical geometry exists equivalent to 180∘.

A category of non-Euclidean geometry, spherical geometry is a subset of elliptical geometry. Any type of geometry that is not founded on conventional planes is known as non-Euclidean geometry. Lines in non-Euclidean geometry are not always the usual straight lines found in Euclidean geometry (i.e., plane geometry).

We require opposing sides and angles in order to use the sine rule. We can utilise this knowledge to locate the side that is opposite the other angle if we know two angles and one of the sides opposite. Accuracy points may be lost because of this.

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Answer: C

Step-by-step explanation:

Same thing as before(I believe I answered a similar question).

Substitute the values for the variables.

Do that, and you get

(1/2)^2+2/5

= 1/4+2/5

= 5/20+8/20

= 13/20

The answer is C.

The table that represents a linear equation is the first one, and the line can be:

y = -4x - 1

A general linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Now, notice that if we evaluate the line in x + 1, we will get:

y = a*(x + 1) + b

y = a*x + a + b

So, for an increase of one unit on the variable x, we have a constant increase in the y value.

Now, if you look at the first table, you can see that for each increase of 1 unit on the value of x, the value of y decreases by 4.

So that is the table that can represent a linear function.

And the line is:

y = -4x - 1

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Answer:

  28°

Step-by-step explanation:

You want the smallest angle in a right triangle if the difference from the larger one is 34°.

This is one of a class of problems in which you want to find values that have a particular sum and a particular difference. They all have the same generic solution:

Here, the sum of the two acute angles in a right triangle is 90°. The problem statement tells you their difference is 34°. That means the smaller angle is ...

  smaller angle = (90° -34°)/2 = 56°/2 = 28°

The smallest angle is 28°.

__

Additional comment

The largest acute angle is (90° +34°)/2 = 124°/2 = 62°. You will notice this is the complement of the 28° angle found above, and differs by ...

  62° -28° = 34° . . . . as required by the problem statement

If you don't want to just jump to the answer, you can write an equation for the smallest angle (x). The larger will be (x+34).

  x +(x +34) = 90 . . . . . the two acute angles are complementary

  2x = 90 -34

  x = (90 -34)/2 = 56/2 = 28 . . . . . this should look familiar

Answer:

1.35/0.15

13.5/1.5

Step-by-step explanation:

We know the first and last ones are incorrect. The last is incorrect because it uses addition when the question is asking for the quotient. The first is incorrect because 1.35/1.5 = 0.9. The quotient (or answer) for the rest all equal 9.

1.35/0.15 = 9

13.5/1.5 = 9

The regular price of each shoe pair is $36.75

To find the regular price of each pair of shoes before the discount, we need to use algebra. Let x be the regular price of each pair of shoes. We know that:

3x = regular price of 3 pairs of shoes

We also know that Gwen paid $110.25 after the discount, so we can set up the following equation:

3x - discount = 110.25

We don't know the discount, so we can't solve for x yet.

But we can use the fact that Gwen bought 3 pairs of identical shoes to find the discount.

discount = regular price of 3 pairs of shoes - price paid after discount

= 3x - 110.25

Now we can substitute this expression for the discount into the first equation:

3x - (3x - 110.25) = 110.25

Simplifying this equation gives:

110.25 = 110.25

So x = regular price of each pair of shoes = $110.25/3 =

$36.75

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Assume that

First gap: y=(3+x)

Second gap: y=(5 + 0.5 x)

3+x=5+0.5x,

x-0.5x=5-3,

0.5x=2,

5x=20,x=4.

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The coordinates of the remaining vertex if the other 3 vertices of DEFG are D(1, 1), E(5, 2), and F(1, 8) is G(12,2)

A spherical or elliptical coordinate system known as the geographic coordinate system is used to measure and transmit positions on Earth as latitude and longitude. Of all the several spatial reference systems in use, it is the most basic, traditional, and generally used. It serves as the foundation for the majority of

Latitude and longitude are the two components of the geographic coordinate system. Each longitude line measures the number of degrees east or west of the prime meridian and travels north to south. Values fall between -180° and +180°. Latitude lines travel from east to west and count the degrees north or south of the equator.

According to the given question, we see that

The coordinates of the remaining vertex if the other 3 vertices of DEFG are

D(1, 1), E(5, 2), and F(1, 8) is G(12,2)

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The equivalent fraction of -3/2 is the fraction -6/4

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

numerator negative 3 and denominator 2

Express the fraction properly

So, we have

-3/2

Multiply the numerator and the denominator by a constant (say 2)

So, we have

-6/4

This implies that -6/4 is equivalent to 3/2

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So on solving the provided question, we can say that from the graph the range can be - {-2,3,5,6} and {2,0,3,4}

The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.

from the graph-

the range can be

- {-2,3,5,6} and {2,0,3,4}

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The amount by which Ariel’s bank account changed from week `1` to week `6` is -$365.80.

The changes over the six-week period in Ariel's bank account are as follows:

At the end of week 1:

$337.5 - $360 = -$22.50

At the end of week 2:

$182.35 - $337.5 = -$155.15

At the end of week 3:

$-41.4 - $182.35 = -$223.75

Balance at the end of week 4:

-$41.4 + $40 = -$1.40

At the end of week 5:

-$5.80 - (-$1.4) = -$4.40

Week 6 balance = -$5.80

Changes that occurred = -$22.50 + (-$155.15) +  (-$223.75) + (-$1.40) + $40 + (-$4.40)

Changes that occurred = -$365.80

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x=7<

Step-by-step explanation:

7x4=77iuiiiiiiiiii

Answer:

6-7-8-5-11-8=-33

Step-by-step explanation:

Answer: 6-7-8-5-11-8=-33

Step-by-step explanation:

Step-by-step explanation:

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A line passes through the points (5,9) and (4,6) is y=3x-6.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

The given coordinate points are (5,9) and (4,6).

Here, slope m=(6-9)/(4-5) =3

Substitute m=3 and (x, y)=(5, 9) in y=mx+c, we get

9=3×5+c

9-15=c

c=-6

Substitute m=3 and c=-6 in y=mx+c, we get

y=3x-6

Therefore, equation in slope-intercept form is y=3x-6.

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