What's an equation that will move the graph of the function f(x) = x^2 left 2 units and down 4.

The proof of the congruent sides RU and TS is given below.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given figure is a rectangle RSTU.

Since the all four angles of rectangle are of 90 degree.

So, each angle of rectangle RSTU is 90 degree.

Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.

Both the triangles having same measure of angles and sides.

⇒  ΔSRU ≅ ΔSTU

As the triangles are congruent so their sides are congruent.

Hence, RU is congruent to TS.

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3 years: $36570

What I did:

So 6% of 11,500 is 690

\(11500+690=12190\)

\(12190*3=36570\)

5 years: $60950

What I did:

\(12190*5=60950\)

You dont have to do any extra work because you already have the money with the intrest rate. So all you had to do is multiply 12,190 by 5.

Answer: there you go

Step-by-step explanation:

Answer:

yes, contains bias

Step-by-step explanation:

surveyor included their own opinions on chocolate ice cream being delicious and vanilla ice cream being boring.

The value of sec 19° is approximately 1.058, which corresponds to answer choice D.

To find the value of sec 19° using a calculator, follow these steps:

Turn on your calculator and make sure it is in degree mode.

Enter "19" and press the "cos" button. This will give you the value of cos 19°.

Press the "1/x" button, which represents the reciprocal function, to find the value of sec 19°.

Using this method, we get:

cos 19° = 0.948

1/cos 19° = 1/0.948 ≈ 1.058

Therefore, the value of sec 19° is approximately 1.058, which corresponds to answer choice D.

It is important to note that some calculators may have slight variations in their calculations due to rounding or other factors. However, the answer should be very close to 1.058.

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Answer:

36

Step-by-step explanation:

Sean purchased a printer and laptop

He sold both for 1,500

He sold the laptop at 1,350

Therefore the cost of the printer can be calculated as follows

1500-1350

= 150

24/100×150

= 0.24×150

= 36

Henve the cost of the printer is £36

Answer:

12

Step-by-step explanation:

Answer:

7.1 inches

Step-by-step explanation:

A square has equal sides. Diagram of the square has been drawn in the attachment below.

Thus,

x = length of the diagonal of the square

Using Pythagorean Theorem,

x² = 5² + 5²

x² = 25 + 25

x² = 50

x = √50

x = 7.1 inches (nearest tenth)

Answer:

x=3

Step-by-step explanation:

Answer:

60 cents

Step-by-step explanation:

Answer:

He made the following mistake, he assumed that polynomial \((x^{2}+1) = (x^{2}-1)\), having for granted that \(x^{2}+1\) has two real roots, instead of two complex roots.

Step-by-step explanation:

He made the following mistake, he assumed that polynomial \((x^{2}+1) = (x^{2}-1)\), having for granted that \(x^{2}+1\) has two real roots, instead of two complex roots. The true factorized form of the fourth grade polynomial is:

\(r(x) = (x^{2}+1)\cdot (x^{2}-9)\)

\(r(x) = (x- i)\cdot (x+i)\cdot (x+3)\cdot (x-3)\)

9514 1404 393

Answer:

  Part A: B

  Part B: 1

Step-by-step explanation:

Part A:

The meaning of "at most" is "less than or equal to." If we assume that the variables x and y represent numbers of loaves of banana bread and nut bread, respectively, then the first problem statement tells you ...

  x + y ≤ 30 . . . . . the total of loaves baked is at most 30

Only one answer choice has this inequality listed: choice B.

__

Part B:

The numbers of loaves of bread will not be negative. The only quadrant that has both coordinates positive is the 1st quadrant.

__

Comment on quadrant

Real-world problems involving numbers of items are often expressed in terms similar to those seen here. The assumption that is made in all such problems is that the quantity of items cannot be negative. That is, the constraints x ≥ 0 and y ≥ 0 are always considered part of the problem description. These limit solutions to Quadrant 1. (or I, if you use Roman numerals for numbering quadrants)

Answer:

The number that would have to be added to "complete the square" is 4. This is because the equation can be rewritten as (x + 2.5)² = -4.5, and the number that needs to be added to both sides of the equation to make the left side a perfect square is 4.

The expression that is equivalent to \((\frac{m-4}{m^4})/ m^2\) is the expression \(\frac{m-4}{(m^4)(m^2)}\)

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the expression:

\((\frac{m-4}{m^4})/ m^2\\\\This\ can\ be\ simplified\ to:\\\\(\frac{m-4}{m^4})*\frac{1}{m^2} \\\\=\frac{m-4}{(m^4)(m^2)}\)

The expression that is equivalent to \((\frac{m-4}{m^4})/ m^2\) is the expression \(\frac{m-4}{(m^4)(m^2)}\)

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Answer:

A

or M-4 / ( M + 4 ) ( M + 2 )

StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction

Step-by-step explanation:

The null hypothesis is \(H_{0} : x=0.60\) and alternative hypothesis is \(H_{1} :x\neq 0.60\).

What is null and alternative hypothesis?

The null hypothesis is that the statement that researchers usually aim to disprove by performing tests of significance on the dataset. the most purpose of the null hypothesis is to help disprove a hypothesis or nullify it in favor of the alternate hypothesis that the researchers want to prove.

Let the percentage of readers who own a laptop be \(x.\)

As newsletter publisher believes that \(60\)`% of their readers own a laptop.

Therefore the null hypothesis is \(H_{0} : x=0.60\) and alternative hypothesis is \(H_{1} :x\neq 0.60\).

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Answer:

Step-by-step explanation:

1600 divided by 40

=40 ft

Answer:

\((-3,-12)\)

\(x=-3, y=-12\)

Step-by-step explanation:

So we have the system:

\(3x+y=-21\\y=4x\)

To solve this, we can do some substitution. Substitute the y in the first equation for the 4x in the second:

\(3x+y=-21\\3x+(4x)=-21\)

Combine like terms:

\(7x=-21\)

Divide both sides by 7. The left side cancels:

\((7x)/7=(-21)/7\\x=-3\)

So we determined that x is -3. Now, plug this number back into the second equation:

\(y=4x\\y=4(-3)=-12\)

So the solution is:

\((-3,-12)\)

Answer:

\(\Large \boxed{x=-3 \ } \\ \\ \Large \boxed{y=-12}\)

Step-by-step explanation:

3x + y = -21

y = 4x

Substitue y = 4x in the first equation.

3x + 4x = -21

Combine like terms.

7x = -21

Divide both sides by 7.

x = -3

Let x = -3 for the second equation.

y = 4(-3)

Multiply.

y = -12

The solution for the system of equations is x = -3 and y = -12.

Answer:

The sun is 9.2549 x 10^-7 miles from the earth

NOTE: I don't know how many significant figures you are needing/given.

Step-by-step explanation:

The earth is 92.549 million miles from the sun.

92 549 000 miles from the sun.

Move the decimal place left until you're right after the first significant figure.

9.2549 x 10^-7

Answer: w+b>12. W>3

Step-by-step explanation: because the teacher tell me

Step-by-step explanation:

1/5 + 3/5 = 3/5 + 1/5 = 4/5

I am not sure what your teacher wants to see on the right side of the second equation.

it would be the whole equation again :

4/5 = 1/5 + 3/5 = 3/5 + 1/5

The required estimation of 11 4/5 divided by 3 1/5 is 4.61.

Given that,
To determine the estimation of 11 4/5 divided by 3 1/5.

In mathematics, it deals with numbers of operations according to the statements.

In the given question we have given, 2 mixed fractions we have to determine the simplified fraction by dividing one from the other, as stated in the question.

Simplification,

11 + 4 / 5 = 59 / 4
3 + 1 / 5 = 16 / 5

11 4/5 divided by 3 1/5 estimation,
=  ( 59/4 ) / (16 / 5)
= 59 * 5 / 4 * 16
= 4.61

Thus, the required estimation of 11 4/5 divided by 3 1/5 is 4.61.

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Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

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Answer:

i think its six

Step-by-step explanation:

6-3=3

3+3=6

The value of the number that it is decreased by 3 and the result is doubled will be 6.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Suppose that number is x.

x is decreased by 3 = x - 3

The results is doubled = 2(x - 3) = x

2x - 6 = x

2x - x = 6

x = 6

Hence "When a number is reduced by three and the outcome is doubled, its value becomes six".

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The equivalent expression of 3/2(6x^2 - 2/3x) is 9x^2 - x

The expression is given as:

3/2(6x^2 - 2/3x)

Open the bracket

3/2*6x^2 - 3/2*2/3x

Evaluate the product

9x^2 - x

Hence, the equivalent expression of 3/2(6x^2 - 2/3x) is 9x^2 - x

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Answer:

26 degrees

Step-by-step explanation:

The attached image shows how I interpret this question, and I assume you're meant to use trigonometry to solve.

From the perspective of the angle, we have a relationship between the opposite side, the hypotenuse, and the angle. Because the 2 sides are the opposite and the hypotenuse, we need the sine function, and because the angle is the unknown, we need the inverse sine function.

(soh cah toa)

\(sin(x)=\frac{opposite}{hypotenuse}\\\\sin^{-1}(\frac{opposite}{hypotenuse})=x\)

Now, just plug in the 2 known values and solve for the unknown:

\(sin^{-1}(\frac{1.1}{2.5})=x\\\\sin^{-1}(0.44)=x\\\\x=26.1039\)

The angle is 26 degrees, and you can check that by doing it in reverse:

\(sin(26.1039)=\frac{1.1}{2.5}\\\\sin(26.1039)=0.44\\\\0.44=0.44\)

The Probability of red light is 0.3

P(red) = 0.3

The probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light be 0.25.

P(exactly three get stopped by red light)=0.25

The correct option is (d) P(red)=.3,P(exactly 3 get stopped)=.25

A binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.

The occurrence,

p= probability of a red light

 =\(\frac{15}{15+5+30}\)

 = \(\frac{15}{50}\)

 = 0.3

Hence, Probability of getting red light be,

P (red)= 0.3

Now, the Binomial distribution formula,

Probability=( \(_r^nC\))\(\;p^{r} \;q^{n-r}\)

where, r = number of times for a specific outcome within n trials

\(_r^nC\)   = number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trial

According to question,

          = 1- 0.3

          = 0.7

Now using the formula, ( \(_r^nC\))\(\;p^{r} \;q^{n-r}\)

P( exactly 3  get stopped) = ( \(_3^8C\))\(\;(0.3)^{3} \;(0.7)^{8-3}\)

                                            = \(\frac{8!}{3!(8-3)!}\) \((0.027) \; (0.7)^{5}\)

                                           =  \(\frac{8!}{3!(5)!}\)\((0.027) \; (0.16807)\)

                                           = \(\frac{8 * 7 * 6 }{3 * 2}\) x 0.027 x 0.16807

                                           = 56 x 0.00453789

                                           = 0.25412184

                                          ≈ 0.25

Hence, Probability of next eight eastbound so that exactly three will stopped by a red light be 0.25.

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Given that B is a point between point A and C, the numerical value of x is -5.

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given the data in the question;

Since B is a point between point A and C.

Segment AC = Segment AB + Segment BC

Plug in the given values and solve for the value of x

Segment AC = Segment AB + Segment BC

14 = (x + 12) + (x + 12)

14 = x + 12 + x + 12

14 = 2x + 24

2x = 14 - 24

2x = -10

x = -10/2

x = -5

Given that B is a point between point A and C, the numerical value of x is -5.

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