need help to solve please

The factored form of the expression would be; (7x + 2√5) (7x - 2√5)

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need to factor the expression form 49x² + 20

Therefore, 49 is a perfect square,

This expression could also be given as;

(7x)²- (2√5)²

Now, we know that:

a²- b² = (a + b) (a - b)

Now plug the values then we have:

(7x)²- (2√5)² = (7x + 2√5) (7x - 2√5)

Hence, the factored form of the expression would be; (7x + 2√5) (7x - 2√5)

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The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ 49x² + 20

The expression can be written as,

⇒ 49x² - 20i²

Simplify the expression, then we have

⇒ 49x² - 20i²

⇒ (7x)² - (2i√5)²

⇒ (7x - 2i√5)(7x + 2i√5)

The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.

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Answer:

The product of two negative integers is positive.

If two numbers are the same sign, then the product is positive.

The product of a positive and a negative is negative.

Step-by-step explanation:

Helping in the name of Jesus.

Answer:

yo sup

Step-by-step explanation:

a,d,c on edge

ur welcome

btw the person above is right

The figure is composed of 1 rectangle and 2 triangles.

Area 1: rectangle

Area of a rectangle:Length x width

Length : 6

width : 4

A1 = 6 x 4 = 24 ft2

Area 2: triangle

Area of a triangle: 1/2 x base x height

Base = (9-6)/2 = 1.5

heigth = 4

A2 = A3 = 1/2 x 1.5 x 4 = 3 ft2

Finally, add all the areas:

Area of the figure: A1 + A2 + A3 = 24 + 3 + 3 = 30ft2

Answer:

Step-by-step explanation:

min: 8

max: 28

median: 22

1st Q: 12

3rd Q:26

The degrees of freedom and t-critical for a two-tailed t-test for a zero slope at α=0.05 are 18 and ±2.101, respectively.

To calculate the degrees of freedom for the two-tailed t-test, we need to subtract 2 from the sample size, which gives us n-2 = 20-2 = 18. The t-critical value can be obtained from a t-distribution table with 18 degrees of freedom and a significance level of α/2=0.025. Looking up the table, we find that the t-critical value is ±2.101.

Therefore, for a two-tailed t-test with a significance level of α=0.05 and a sample size of 20, we would have 18 degrees of freedom and a t-critical value of ±2.101. This means that if our calculated t-value falls outside of this range, we can reject the null hypothesis that the slope is zero.

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Answer:

Answer:

(-2 , -3) and (0.6 , 4.8)

Step-by-step explanation:

y=3x +3

(x - 2)² + y² = 25

(x - 2)² + (3x +3)² = 25

x²-4x+4+9x²+18x+9-25=0

10x²+14x-12=0

5x²+7x-6=0

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

x = -2 or x = 3/5  (-0.6)

y = -3 or y = 4 4/5  (4.8)

Answer:

22

Step-by-step explanation:

-3+-5*2=22 its pretty easy

Answer:

$29.40

Step-by-step explanation:

Similar figures have sides that are proportional and corresponding angles are congruent to each other

Answer:

Step-by-step explanation:

Equation of the line:

y = -0.375x – 9.25

or

y =  

- 3 x

8

–  37

4

When x=0, y = -9.25

When y=0, x = -24.666666666667

7 1/2.

2 goes into 15 7 times with one left over.

Answer:

He will only afford to rent the car for 4 days, he will spend 160 dolars to just have the car for 4 days. Since he plan to drive 125 miles, the cost for the miles will be 10 dolars. So if we add 160 (4 days with the car) plus 10 (for the miles) it would give 170.

Step-by-step explanation:

The Mystery PROCEDURE's behaviour is best described by the statement Return whether or not word is in list.

When control is sent back to the caller function, the running of a function is complete. Following the call, the calling function immediately continues operation. The invoking function might get a value via a return statement. Visit Return type to find out more.

The script or function that called the function will receive a value once the function has completed its task. Return values can be of any of the four variable types: handle, integer, object, or string. The task your function completes has a significant impact on the outcome it produces. A return, often known as a financial return, is the amount that an investment makes or loses over time.

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The complete question is,

PROCEDURE Mystery (word, list)

{

FOR EACH item IN list

{

IF (item = word)

{

RETURN (true)

}

}

RETURN (false)

}

Which of the following best describes the behavior of the Mystery PROCEDURE?

The minimum value of the given function is 3 at x=-5.

By locating the vertex of the parabola that the function defines, we may determine the lowest or maximum value of G(x).

The x-coordinate of the vertex may be determined by using the formula x = -b/(2a), where a and b are the coefficients of the quadratic components in the function.

In this case, a = 3 and b = 30, so:

x = -b/(2a) = -30/(2*3) = -5

Now we can find the y-coordinate of the vertex by plugging in x = -5 into the function:

\(G(-5) = 3(-5)^2 + 30(-5) + 78 \\= 3(25) - 150 + 78 \\= 3(25) - 72 \\= 3(25 - 24) \\= 3(1) \\= 3\)

Therefore, the minimum value of G(x) is 3 and there is no maximum value.

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Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

https://socratic.org/questions/a-card-is-drawn-from-a-standard-deck-a-second-card-is-drawn-without-replacing-th-1#131182

Step-by-step explanation:

:)

Answer: The mean will increase and the median would not change

Step-by-step explanation:

Recorded data by Priya :

Data: 1,8,6,2,4

Mean of data = (1+8+6+2+4)/5

=21/5 = 4.2

Median of data = 1,2,4,6,8

Median = 4

Correct data: 1,18,6,2,4

Mean of data = (1+18+6+2+4)/5

=31/5 = 6.2

Median of data = 1,2,4,6,18

Median = 4

Therefore ; according to the evaluation above, the median will remain unchanged, but the mean increased from 4.20 to 6.20.

Answer:

21.5

Step-by-step explanation:

Counting the full squares: 16

Counting the squares that are more than 1/2:  6

The best estimate would be 21.5

Answer:

Step-by-step explanation:

Given

All the numbers have power of zero and therefore all are equal to 1.

Correct choice is:

Answer:

He received $340 last year

Step-by-step explanation:

Add $20 to $150 and then multiply $170 by 2

We assume that we have a plot given like the graph attached.

We have n points and we need to find How many of the 9 people listed in the scatterplot have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit?

So for this case we need to have the predicted value  y^  and the real value y. We are going to put these two values and the difference

    yi                          yi^                       |yi - yi^|

    157                      161.5                        4.5

    163                      163.1                        0.1

    175                      167                           8.0

    171                       170.5                        0.5

    173                      172.5                        0.5

    173                      174.3                        1.3

    172                      176                           4.0

    183                      178                           5.0

    178                      180                           2.0

So as we can see we have 4 points out of the 9 who satisfy the condition

|yi - yi^| >= 3.

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Answer:

25 MP3 downloads

Step-by-step explanation:

If he starts off with $50 then these are the steps

$50 - $1.50 = $48.50 for 1 MP3

$48.50 - $1.50 = $47.00 for 2

$48.50 - $1.50 = $45.50 for 3

then repeat that until we have $12

it doesnt give us exactly $12 but it gives us $12.50 reminder

So he can but 25 MP3 downloads and still have at least $12 remining

Hope this helps plz give me brainliest I worked really hard

Answer:

B on E2020

Step-by-step explanation: ok

The condition "y divide by 7 then add 2" can be represented as expression,    \(\frac{y}{7} +2\)

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

A condition,

y divide by 7 then add 2

Here, we have to apply two operation to complete this expression,

1.  Division

2. Addition

First, doing division operation,

y divide by 7

⇒  y/7

Now, second operation which is addition of 2

⇒  \(\frac{y}{7} + 2\)

Hence, the expression is   \(\frac{y}{7} + 2\)

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Answer:-12x

Step-by-step explanation:

just trust me on this

In summary the equivalence relation on the set of real numbers is:

- [1] = {x ∈ R | x = 1 + q, q ∈ Q}

- [1/2] = {x ∈ R | x = 1/2 + q, q ∈ Q}

- [π] = {x ∈ R | x = π + q, q ∈ Q}

The union of both rational and irrational numbers is known as a real number. They are represented by the letter "R" and can be either positive or negative.

To show that the relation {(x, y) | x − y ∈ Q} is an equivalence relation on the set of real numbers, we need to verify three properties: reflexivity, symmetry, and transitivity.

1. Reflexivity: For any real number x, we have x - x = 0, which is a rational number (0 ∈ Q). Therefore, (x, x) ∈ {(x, y) | x − y ∈ Q} for all x, and the relation is reflexive.

2. Symmetry: If (x, y) ∈ {(x, y) | x − y ∈ Q}, then x - y is a rational number. Since the negation of a rational number is still a rational number, -(x - y) = y - x is also a rational number. Therefore, (y, x) ∈ {(x, y) | x − y ∈ Q}, and the relation is symmetric.

3. Transitivity: If (x, y) ∈ {(x, y) | x − y ∈ Q} and (y, z) ∈ {(x, y) | x − y ∈ Q}, then x - y and y - z are both rational numbers. The sum of two rational numbers is also a rational number, so (x - y) + (y - z) = x - z is a rational number. Therefore, (x, z) ∈ {(x, y) | x − y ∈ Q}, and the relation is transitive.

Since the relation satisfies all three properties (reflexivity, symmetry, and transitivity), it is an equivalence relation on the set of real numbers.

Now, let's determine the equivalence classes [1], [1/2], and [π].

The equivalence class [1] consists of all real numbers x such that x - 1 ∈ Q. In other words, [1] = {x ∈ R | x - 1 ∈ Q}. This means that any real number x in the form x = 1 + q, where q is a rational number, belongs to [1].

Similarly, the equivalence class [1/2] consists of all real numbers x such that x - 1/2 ∈ Q. Therefore, [1/2] = {x ∈ R | x - 1/2 ∈ Q}, which means that any real number x in the form x = 1/2 + q, where q is a rational number, belongs to [1/2].

Finally, the equivalence class [π] consists of all real numbers x such that x - π ∈ Q. Thus, [π] = {x ∈ R | x - π ∈ Q}. This means that any real number x in the form x = π + q, where q is a rational number, belongs to [π].

In summary:

- [1] = {x ∈ R | x = 1 + q, q ∈ Q}

- [1/2] = {x ∈ R | x = 1/2 + q, q ∈ Q}

- [π] = {x ∈ R | x = π + q, q ∈ Q}

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