Someone please solve this pageee!!

The quadratic equation 4(x² − 5) − 1 = 3 has its solutions to be are √6 and -√6

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

4(x 2−5)−1=3

Express properly

This gives

4(x² − 5) − 1 = 3

Subtract -1 from both sides of the equation

So, we have the following representation

4(x² − 5) = 4

Divide both sides by 4

This gives

x² − 5 = 1

Subtract -5 from both sides of the equation

So, we have the following representation

x² = 6

Take the square root of both sides

x = ±√6

Hence, the solution is ±√6

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Answer:

81

Step-by-step explanation:

9x9 = 81

Answer: 0.071%

Step-by-step explanation:

To get from $3.50 - $3.75, there was an increase of $0.25.

(Sorry if I'm getting the currency bit wrong, I'm British.)

Divide 0.25 by the original cost of 3.50, and you get:

0.07142857142857142857142857142857

Round this and you get a 0.071% increase

Answer:

The percent change in the price of a gallon of gas is 0.0714%.

Step-by-step explanation:

Here, The price increased from $3.50 to $3.75, a change of $0.25.

So,

$0.25 ÷ $3.50 × 100% = 0.0714%

Thus, The percent change in the price of a gallon of gas is 0.0714%.

Answer:

3

Step-by-step explanation:

Answer:

30,34,38,42,46,50,54,58,62,66,70

Answer: 6

Step-by-step explanation:

when a fraction has a small numerator and a bigger denominator, the percent would be a proper fraction.

A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100.

As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. The symbol “%” represents it.

Therefore, When a fraction has a small numerator and a large denominator, it is a proper fraction.

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Answer:

The scale ratio of 1:87.1 means that for every 1 unit of measurement on the model (in this case, inches), there are 87.1 units of measurement on the actual railroad car. This means that the actual railroad car is 87.1 times larger than the model in every dimension. If the model is 1.4 inches tall, the actual railroad car would be 1.4 x 87.1 = <<1.4*87.1=122.54>>122.54 inches tall.

Answer: I'm sorry if it's wrong I'm pretty sure it's ≥ if not I'm sorry

Step-by-step explanation:

False

The parent function is the simplest function within a family of functions that defines the general form of that family.

Parent Functions

Parent functions are given in terms of y and x, where y is the output and x is the input. In linear functions, b represents a constant, specifically the y-intercept. Since the form y=b does not have an input it cannot be the parent function of linear lines. The graph of y=b would be a horizontal line with no slope. This does not define the general form of most linear functions. Additionally, since the slope has been changed to zero, it is not considered the simplest form of linear functions.

Linear Parent Function

The true parent function of linear functions is y=x. This function is the simplest linear function and has no transformations. Additionally, when graphed it is a diagonal line that defines the general shape of lines.

To create new linear functions the parent function, y=x, can be transformed by changing the coefficient of x to change the slope or by adding a constant to shift the graph vertically.

Answer: y = 2x-8

Step-by-step explanation:

Let's try to determine by substitution method. Starting from the first equation:

y = 2x-8

2·0-8 = -8

2·1-8 = -6

2·3-8 = -2

2·4-8 = 0

The first equation satisfies the conditions of the table.

The probability that the area of the triangle is at most 20 is 5/9

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. Thus area of triangle XYZ is

1/2×12×6=36

Now if the area of the triangle is at most 20 then the required probability is = 20/36

                      =5/9

Hence, The probability that the area of the triangle is at most 20 is 5/9

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At the end of the eighth year, the amount Mr. Smith withdrew was $41,757.68.

The amount that Mr. Smith withdrew at the end of the eighth year is a product of a series of computations, involving future value determination.

In this situation, we have used an online finance calculator to determine the future value of the investment at each leg.

N (# of periods) = 20 years

I/Y (Interest per year) = 6%

PV (Present Value) = $0

PMT (Periodic Deposits) = $1,800

Results:

FV = $66,214.06

Sum of all periodic payments = $36,000 ($1,800 x 20)

Total Interest = $30,214.06

N (# of periods) = 5 years

I/Y (Interest per year) = 6%

PV (Present Value) = $,

PMT (Periodic Withdrawal) = $-7500

Results:

FV = $46,331.15

Sum of all periodic payments = $-37,500 ($7,500 x 5)

Total Interest $17,617.09

N (# of periods) = 2 years

I/Y (Interest per year) = 6%

PV (Present Value) = $46,331.15

PMT (Periodic Withdrawal) = $-5000

Results:

FV (Final Withdrawal) = $41,757.68

Sum of all periodic payments = $-10,000 ($5,000 x 2)

Total Interest = $5,426.53

Thus, the amount of $41,757.68 was withdrawn by Mr. Smith at the end.

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Step-by-step explanation:

the area of a trapezoid is

(a + b)/2 × x

a and b being the 2 bases. and x, as requested, is the height.

A

it does not matter which base is which, as long as we keep using them consistently.

so, let's assume a is the first base :

a = x + 5

and then for the second base

b = 2x - 1

now we use that in the main formula :

(x + 5 + 2x - 1)/2 × x = (3x + 4)/2 × x = (3x² + 4x)/2

A = (3/2)x² + (4/2)x = (3/2)x² + 2x ft²

B

now the height is increased by 4 ft.

that means we need to replace x by x + 4.

(3/2)(x+4)² + 2(x+4) = (3/2)(x² + 8x + 16) + 2x + 8 =

= (3/2)x² + (24/2)x + (48/2) + 2x + 8 =

= (3/2)x² + 12x + 24 + 2x + 8 =

= (3/2)x² + 14x + 32 ft²

with x being the original height, of course.

A line has a slope of 5. it passes through the points (-5, -1) and (x,9) than the value of x is -3

We are going to use the fact that when a line passes through two points : [tex](x1,y1) and (x2,y2)[/tex]

the slope is given by the following formula:

[tex]slope=y2-y1/x2-x1[/tex]

In the present case, the slope is 5 and the points are (-5, -1) and (x, 9)

Hence,

[tex]5=9-(-1)/x-(-5)[/tex]

[tex]5=10/x+5\\x+5=10/5\\x+5=2\\x=-3[/tex]

Thus, the value of x is -3 when it travels between the coordinates (-5, -1) and (x, 9).

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The sale price of the item is given by the equation A = $ 26.40

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the sale price of the item be represented as A

Now , the equation will be

The original price of the item = $ 33

An item on sale costs 80% of the original price

So , the sale price of the item A = 80 % x original price of the item

Substituting the values in the equation , we get

The sale price of the item A = ( 80 / 100 ) x 33

The sale price of the item A = 0.80 x 33

The sale price of the item A = $ 26.40

Therefore , the value of A is $ 26.40

Hence , the sale price is $ 26.40

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The total number of students in the student body is 110.

Percentage is the ratio of an amount expressed as a number out of 100. The sign that is used to represent percentage is %.

In order to convert a number to percentage, multiply the number by 100. Percentage is a measure of frequency.

In order to determine the total number of students in the student body, divide the number of students that watch TV everyday by the given percentage.

Number of students in the student body = number of students that watch TV everyday / percentage

88 / 80%

= 88 / 0.8 = 110

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The required correct options of data set after the value's removal.

1. The mean will increase.                   3. The median may stay the same.      5. The mode will stay the same.

The Index Sponsor computes the Removal Value in the same way that Fund Interests in the linked Fund are valued.

Here,
While analyzing a data set, a scientist notices one data value that is 2 IQRs below the first quartile.
As for the properties of statistics, Change in the IQR does affect the median and mode, So options 3 and 5 are correct.
And also mean will increase.

Thus, the correct options are shown above.

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These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

the triangle's circle's center. It is the point where the "perpendicular bisectors," or lines parallel to the centre of both sides, cross.

The intersection of any two perpendicular bisectors of any two triangle sides is known as the circumcenter of a triangle ABC.

The equation y=1 is the perpendicular bisector of sides B(3,0) and C(3,2). Because AB's midpoint is at 3,1 and its slope is unknown. The perpendicular bisector has zero slope. The equation for such a line is y=y1.

The equation for the perpendicular bisector of A(0,0) and B is also x=1.5 (3,0). The reason is that AB has a midpoint of zero slope and (1.5,0). The perpendicular bisector's slope won't be clearly defined. The equation for such a line is x=x1.

These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

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Answer:

To solve this system of equations, you can use the method of elimination. To do this, you can add the two equations together:

4x + 5y - 5x - 3y = -7 - 1

-x + 2y = -8

Then, you can divide both sides of the equation by -1 to solve for y:

x - 2y = 8

y = (x - 8) / 2

Now that you have solved for y, you can substitute this expression back into either of the original equations to solve for x. For example, you can substitute y = (x - 8) / 2 into the first equation to get:

4x + 5((x - 8) / 2) = -7

4x + 5x - 40 = -7

9x = 33

x = 3.67

Now that you have solved for both x and y, you can find the solution to the system of equations:

x = 3.67

y = (3.67 - 8) / 2 = -2.17

So, the solution to the system of equations is x = 3.67 and y = -2.17.

Answer: x = 9

Step-by-step explanation: To find the value of x, we must understand a few things:

- whatever is in lines like | 2x + 4 | means it's the absolute value or positive value of the number.

Now, with that out of the way, I have one more thing to explain.

- whenever trying to find the value of a variable, you need to do inverse operations, so the opposite of adding is subtracting, and the opposite of multiplication is division. Now, let's solve:

22 - 4 = ?

? = 18

18 / 2 = ?

?(x) = 9

Therefore, x = 9

We can check our answer by doing:

| 2(9) + 4 | = 22

2 x 9 = 18

18 + 4 = 22

22 = 22

So, both answers add up, so x = 9

I hope this helps!

If it cost the shoe factory $26.47 to make a pair of Purple Pedi running shoes and the mall sells them for $128.98 then 3.87 is the percent mark-up.

The gross profit of a unit is determined by subtracting its cost to produce or acquire for resale from its sales price to determine the markup percentage. The markup percentage is computed as (12 - 8) / 8 and equals 50% if an item is priced at $12 but costs the manufacturer $8 to produce.

Some individuals will inform you that a 5% markup equates to a markup of 5% of the price your customer pays. In your illustration, this is stating that you add a specific amount to your cost, $62, to arrive at a price of $P for your customer, and the amount you added is 5% of $P. This means that your cost of $62 is 95% of the price of P.

($128.98 - $26.47)/ $26.47

= 3.87.

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The solution for y in the equation √(7 - x)² + (9 - y)² is infinite many solutions

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

√(7-x)²+(9-y)²

Express tthe equation properly

So, we have the following representation

√(7 - x)² + (9 - y)²

The above is an expression, not an equation

This means that the value of the variable y can take any value and the equation will be true

In other words, it means that the variable y has infinite many solutions because it is not an equation but it is an expression

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Answer: To compare the level of support for the new after-school club between teachers and students, we can calculate the percentage of individuals in each group that responded "yes" to the proposal.

For teachers: 13 out of 20 is equivalent to 13/20 = 0.65 or 65%

For students: 37 out of 50 is equivalent to 37/50 = 0.74 or 74%

Based on the percentage of individuals in each group that responded "yes," we can see that students are more in favor of the new after-school club than teachers. 74% of students responded "yes" to the proposal, while only 65% of teachers responded "yes."

It's worth mentioning that it's important to keep in mind that this comparison is based on the sample size of teachers and students that responded to the survey and not the whole population, also if the sample size isn't representative of the population and not randomly selected it can't be generalized.

Step-by-step explanation:

As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.

When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.

Here,

You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.

Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."

For instance, two lines or line segments that cross each other create two pairs of vertical angles.

When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.

As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.

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A remainder is the remaining amount of a number than comes out of a division. I'm not sure how to explain it better, so I'll give you an example:

Let's say you want to divide 5 by 2. We know that 5 can't be divided by 2 evenly, it won't give you a whole number. Instead it will give you a decimal 2.5.

In this case, 1 is the remainder and I will explain why! Do the long division for 5/2. 2 fits into 5 two times, so you multiply 2 * 2, which gives you 4. If you subtract that number from 5, you get 1. We know that 2 can't fit into one, therefore, 1 is the remainder. once you start getting into decimals, you can fit numbers into other numbers, which is why technically you can fit 2 into 5, but you can't fit it in evenly, if that makes sense!

I hope this example helps see what a remainder is. It's just the number in a long division that the divisor (in my example, 2 is the divisor) can't fit in!

Answer:

x+x+10=90 being Right angle triangle.

2x=90-10

2x=80

x =40

then x+10= 40 + 10

= 50

The length of the side CD is 5.195 cm and the Area of ΔABC is 31.17 cm²

The basic trigonometric functions are;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the given triangle ABC, we can see that it is a right angle triangle where ∠ACD = 60°, and as such, ∠CAD = 30°.

Thus;

BC/AC = tan 30°

6/AC = 0.5774

AC = 10.39cm

Thus;

CD/AC = cos 60

CD = 10.39 * 0.5

CD = 5.195 cm

Formula for area of a triangle is;

Area = ¹/₂ * base * height

Area = ¹/₂ * 6 * 10.39

Area = 31.17 cm²

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