Which equation is equivalent to 4 square x+3 =64?

Answer:

you trying to cheat

Step-by-step explanation:

the answer is 62.5% percent.

Answer:

60

Step-by-step explanation:

50-22=28

28+18+14=60

Salvatore has 60 trading cards.

(Hope this helps)

After all the exchanges, Salvatore ends up with 60 trading cards.

Let's break down the information given in the problem step by step and represent it using math:

Salvatore starts with 50 trading cards.

He gives 22 cards to Madison. This means his number of cards reduces by 22:

Initial cards - Cards given to Madison = 50 - 22 = 28 cards.

Madison gives 18 cards back to Salvatore. This means his number of cards increases by 18:

Remaining cards + Cards received from Madison = 28 + 18 = 46 cards.

Salvatore's sister gives him 14 cards. This means his number of cards increases by 14:

Total cards + Cards received from sister = 46 + 14 = 60 cards.

So, after all the exchanges, Salvatore ends up with 60 trading cards.

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Answer:

-17

Step-by-step explanation:

-4x-17+x=-3x+----  

-3x-17=-3x+---

-3x-17=-3x+(-17)

Answer:

\(x = - 17\)

Step-by-step explanation:

we will solve with the equation:

\( - 4x - 17 + x = - 3x + x\)

\( -4x + x + 3x - x = 17\)

\( - x = 17\)

\( \frac{ -x}{ - 1} = \frac{17}{ - 1} \)

\(x = - 17\)

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Answer:

Step-by-step explanation:

4x^2-54=90

4x^2=144

x^2=36

x=6

Consequently, the equation of the line passing through (-6, 4) and perpendicular to the provided line is y = (7/8)x + 25/4.

We use the fact that parallel lines have the same slope to determine the equation of a line that is perpendicular to a given line and passes through a point. provided that it takes the form y = mx + b, where m is the slope, the provided line has a slope of -8/7. The parallel line will therefore similarly have a slope of -8/7.

The point-slope form of a line is used to determine the y-intercept of a parallel line: y - y1 = m(x - x1), where (x1, y1) is the point the line passes through. We obtain: y - 4 = (-8/7)(x + 6) by substituting (-6, 4) and -8/7 for m.

This equation can be simplified to y = (-8/7)x - 40/7.

We make use of the fact that perpendicular lines have opposing reciprocal slopes to determine the equation of a line that is perpendicular to the supplied line and passes through (-6, 4). provided that the provided line has a slope of -8/7, the perpendicular line will have a slope of 7/8.

Again using the point-slope representation of a line, we arrive at: y - 4 = (7/8)(x + 6)

This equation can be simplified to: y = (7/8)x + 25/4

Consequently, the equation of the line passing through (-6, 4) and perpendicular to the provided line is y = (7/8)x + 25/4.

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By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.

What is the parallel lines?

Parallel lines are two lines in a plane that never intersect.

1. Orientation of Lines:

Parallel lines are lines that never intersect and remain equidistant from each other at all points.

When constructing parallel lines, the lines are drawn in the same direction and maintain the same distance between them throughout their entire length. They do not meet or cross each other.

On the other hand, perpendicular lines are lines that intersect at a right angle (90 degrees). When constructing perpendicular lines, the lines are drawn so that they intersect at a right angle, forming four right angles at the point of intersection.

2. Tools/Methods Used:

Constructing parallel lines and constructing perpendicular lines may require different tools or methods.

To construct parallel lines, one common method is to use a straightedge and a compass. A straightedge is used to draw a straight line, and a compass is used to measure and transfer distances to create additional parallel lines.

Therefore, By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.

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Answer:

{-4, 1, 5, 8}

Step-by-step explanation:

The domain of a relation are all of the inputs (or x-values) of it.

Identify the x-values shown.

{(-4, 8), (8, 10), (5, 4), (1, 6), (5, -9)}

{-4, 1, 5, 8} is the domain of the relation.

Hope this helps.

Answer:

Step-by-step explanation:

The system of equations with no solution is:

y + 3x = -7

4z - 2y = 10

The system of equations with exactly one solution is:

y = 6z+8

y = 6x-4

y = 3x + 2

2z-y = 5

y=-2z+8

The system of equations with infinitely many solutions is:

4z + y = 8

Answer:

Associative property of multiplication

Step-by-step explanation:

The word "associative" comes from "associate" or "group"; the Associative Property is the rule that refers to grouping. For addition, the rule is "a + (b + c) = (a + b) + c"; in numbers, this means 2 + (3 + 4) = (2 + 3) + 4. For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4.

Answer

x=3.5 y=2   (3.5,2)

Step-by-step explanation

You add the x coordinates and divide it by 2, 8-1/2=3.5. Then you would do the same for the y coordinates 1+3/2=2. The midpoint would be (3.5,2)

As per the given data, y = 6 cos (3x - 1) + 3 is the function that has an amplitude that is twice the size and a period that is three times the size of the function.

The given function is y = 3 cos (-1x) + 2.

To find a function with an amplitude twice the size and a period three times the size, we can modify the amplitude and period in the original function.

Amplitude:

The amplitude of the original function is 3. To double the amplitude, we multiply it by 2: 3 * 2 = 6.

Period:

The period of the original function is determined by the coefficient of x, which is -1. To make the period three times larger, we divide the coefficient by 3: -1 / 3 = -1/3.

Putting it all together, we have:

y = 6 cos (3x - 1) + 3

Thus, this function has an amplitude of 6 (twice the size of the original function) and a period of 3 times the size of the original function.

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The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Answer:

Step-by-step explanation:

Let first odd number = a, second odd number = a +2, third odd number = a + 4

a + a + 2 + a + 4 = 987

3a + 6 = 987

3a = 981

a = 327

First odd number = a = 327

Second odd number = a + 2 = 329

Third odd number = a + 4 = 331

The missing description in radical form is ∛64.

In Mathematics, an exponent can be defined as a mathematical operation that is used in conjunction with an algebraic expression to raise a quantity to the power of another and it is generally written as;

bⁿ

Where:

the variables b and n represent numerical values or an algebraic expression.

Based on the information about the rational exponent form, we have the following:

64^{1/3} = 4

∛64 = 4.

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

0.246

Step-by-step explanation:

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Answer:

x²-6x+6=0

Step-by-step explanation:

(x-3)² = 3

(x-3)(x-3)=3

x²-6x+9=3

x²-6x+6=0

To obtain the most accurate four-digit rounding approximation for the roots of a quadratic equation, it is important to consider the nature of the coefficients and choose the appropriate form of the quadratic formula to use.

In the given exercise, the goal is to find the most accurate approximations to the roots of two given quadratic equations using four-digit rounding arithmetic. The first equation is

\(x^2 + 62.10x + 1 = 0\)

and the second equation is

\(1.002x^2 - 11.01x + 0.01265 = 0\)

The roots of the quadratic equation are found using the quadratic formula (1.1) which states that the roots of \(ax^2 + bx +c = 0\) , when a ≠ 0, are given by

\(x1 = (-b + \sqrt {(b^2 - 4ac)}) / 2a\)

\(x2 = (-b - \sqrt {(b^2 - 4ac)}) / 2a\)

However, in some cases, when \(b^2\) is much larger than 4ac, the calculation for x1 involves the subtraction of nearly equal numbers, resulting in a poor approximation and a large relative error. To overcome this issue, an alternate form of the quadratic formula (1.2) can be used by rationalizing the numerator. This gives a more accurate approximation for x1.

The alternate form of the quadratic formula (1.3) should not be used for x2 if b is a negative number as it results in both the subtraction and division of nearly equal numbers. This would lead to a large relative error.

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The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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Answer:

y=−128(x+6)2+12

Step-by-step explanation:

The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24

Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.

Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9

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The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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The surface area of given triangular prism = 24 ft².

For the given triangular prism

Base = 2 ft

height = 3 ft

side = 3ft

We know that,

Surface area of triangular prism

= side x base + 3x base x height

=  3 x 2  + 3x2x3

= 6 + 18

= 24 ft²

Thus,

Surface area = 24 ft²

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Answer:

8 hours

Step-by-step explanation:

9 pair of earrings in 6 hours
=> 9 : 6 = 1,5 pair of earrings in 1 hour
12 : 1,5 = 8 hours

Karima can make 12 pair of earrings in 8 hours.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, Karima made 9 pairs of earrings in 6 hours.

Let the number of hours it took to make 12 pair of earrings be x.

Now, the proportion is

9/6 =12/x

9x=72

x=8

Therefore, Karima can make 12 pair of earrings in 8 hours.

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Answer:

Explanation:

Since the y-intercepts are the same and their slopes are different, they have a solution because if a slope is positive, the line would start from the origin and continuously increase and if a slope is negative, the line would start from the top and continuously decrease. A solution is an intersection between two lines. Please look at my graph for proof. The solution is (0,5).

Using the t-distribution, the 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is (8.374, 9.426).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 76 - 1 = 75 df, is t = 1.9921.

The other parameters are given as follows:

\(\overline{x} = 8.9, s = 2.3, n = 76\).

Hence the bounds of the interval are:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 8.9 - 1.9921\frac{2.3}{\sqrt{76}} = 8.374\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 8.9 + 1.9921\frac{2.3}{\sqrt{76}} = 9.426\)

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Answer:

  see below

Step-by-step explanation:

The point-slope form of the equation of a line is ...

  y -h = m(x -k)

for a line with slope m through point (h, k).

Comparing this to the given equation, you see that ...

  h = -2, m = 1, k = -4

The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.

__

You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.

  y = x +2

This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.

Answer:

The answer to this problem is 12.5.

Step-by-step explanation:

The formula for finding the area of a triangle is b * h * 1/2 or divide by 2 (base times height times one-half or two).

Since this is a equilateral triangle, all of the sides are equivalent to each other.  Since we know one of the sides is 5, all of the sides are 5.

5 * 5 = 25

Then you need to multiply this answer by 1/2 or divide by 2, whichever is easier.

25 / 2 = 12.5

The answer is 12.5.

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Answer:

A

Step-by-step explanation: