if the length of a rectangle is decreased by 2cm and the width is increased by 6 cm the result will be a square the area of this square will be 64 cm^2 greater than the area of a rectangle find the area

Answer:

3rd option

Step-by-step explanation:

8 - 3x ≥ - 4 ( subtract 8 from both sides )

- 3x ≥ - 12

divide both sides by - 3 , reversing the symbol as a result of dividing by a negative quantity.

x ≤ 4

since ≤ the circle on number line is solid ( not open )

since less than 4 then arrow points left away from 4

the solution is shown on the third graph

Answer:

B. Yes, because it passes the vertical line test.

Step-by-step explanation:

Vertical line test - if a vertical line passes through more than one pone, the relation is not a function

Any vertical line will only pass through one point, so this relation is a function

The relation is a function because it passes the vertical line test

Answer:

no hdjsjfjabjsjfbsbajdisjsb

The triangle can be a right triangle

The side lengths are given as:

3, 3 and 3√2

If the triangle is a right triangle, then the following must be true

a^2 = b^2 + c^2

Where a is the longest side.

So, we have:

[tex](3\sqrt 2)^2 = 3^2 + 3^2[/tex]

Evaluate the expressions

18 = 18

Both sides of the equation are equal

Hence, the triangle can be a right triangle

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Answer:

17 and 18

Step-by-step explanation:

Writing every 2 digit number gives us :

10-99 including 10 and 99

For the first one we are looking for numbers where the number 3 appears only once so 33 would be invalid.

13,23,30,31,32,34,35,36,37,38,39,43,53,63,73,83,93

There are 17 2-digit numbers that have 3 exactly once

For the second one we are looking for number where the number 3 appears a minimum of once so 33 would be valid :

13,23,30,31,32,33,34,35,36,37,38,39,43,53,63,73,83,93

There are 18 2-digit numbers that have 3 at least once

Hope this helped and have a good day

Hello,

I think it is 9y² + 21y - 18 = 0

we have a = 9 ; b = 21 and c = -18

∆ = b² - 4ac = 21² - 4 × 9 × (-18) = 1089 > 0

x1 = (-b - √∆)/2a = (-21 - 33)/9 = 6

x2 = (-b + √∆)/2a = (-21 + 33)/9 = 12/9 = 4/3

S = {4/3 ; 6}

Answer:

[tex]x = \bf -7[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} (x + 21) = 10\frac{1}{2}[/tex]

• Divide both sides by [tex]\frac{3}{4}[/tex] :

⇒ [tex]x + 21 = 10\frac{1}{2} \space\ \div \frac{3}{4}[/tex]

⇒  [tex]x + 21 = 10\frac{1}{2} \space\ \times \frac{4}{3}[/tex]

⇒ [tex]x + 21 = 14[/tex]

• Subtract 21 from both sides:

⇒ [tex]x = 14 -21[/tex]

⇒  [tex]\boxed {x = \bf -7}[/tex]

Answer:

Step-by-step explanation:

Answer

False but close.

The intercept arc and the central angle are equal.

Using proportions, it is found that she should walk at a speed of 8 mph to arrive at noon.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the speeds of arrival at 11 am and at 1 pm, we have that for each 2 km slower, she arrives one hour later.

Walking at 10 mph she arrives at 11 am, hence she should walk at a speed of 8 mph to arrive at noon.

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Barack be able to bring 1029 dirham with him.

The amount of one currency needed to buy items in another is shown by conversion rates.

Currency rates and spot prices on the foreign exchange market are comparable to conversion rates.

In relation to supply and demand, conversion rates are impacted.

Governments and central banks implement policies in response to supply and demand dynamics that affect the conversion rate.

According to the question,

The conversion rate from cad to uae dirham is 2.94

Money, in dirham,  Barack would be able to bring with him,

=(350*2.94) dirham

=1029 dirham

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Common difference formula

[tex]\boxed{\sf d=t_2-t_1}[/tex]

So

Here

[tex]\\ \tt{:}\longrightarrow d=47-51[/tex]

[tex]\\ \tt{:}\longrightarrow d=-4[/tex]

Option C

Answer:

C.  -4

Step-by-step explanation:

Given sequence:  51, 47, 43, 39, ...

To find the common difference (d) between consecutive terms in an arithmetic sequence, subtract the previous term from the next term:

[tex]\implies \sf d=47-51=-4[/tex]

[tex]\implies \sf d=43-47=-4[/tex]

[tex]\implies \sf d=39-43=-4[/tex]

Therefore, the common difference for the given arithmetic sequence is -4.

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The correct option is (b) h=0.5cos([tex]\pi[/tex]/6t)+9.5.

The equations can be used to model the height as a function of time, t, in hours is h=0.5cos([tex]\pi[/tex]/6t)+9.5.

The following is a presentation of the cosine function's generic form;

y =  a + cos(bx - c) + d

amplitude = a

b = cycle speed

Calculation for the model height;

The height, h (feet) of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet.

Obtain amplitude 'a' as

[tex]\begin{aligned}a &=\frac{\text { Maximum value }-\text { Minimum value }}{2} \\a &=\frac{10-9}{2} \\a &=\frac{1}{2} \\a &=0.5\end{aligned}[/tex]

The time 'T' is calculated as-

[tex]\begin{aligned}&\mathrm{T}=\frac{2 \pi}{\mathrm{b}} \\&12=\frac{2 \pi}{\mathrm{b}} \\&\mathrm{b}=\frac{2 \pi}{12} \\&\mathrm{~b}=\frac{\pi}{6}\end{aligned}[/tex]

Now, calculate 'd'

[tex]\begin{aligned}&\mathrm{d}=\frac{\text { Maximum value }+\text { Minimum value }}{2} \\&\mathrm{~d}=\frac{10+9}{2} \\&\mathrm{~d}=\frac{19}{2} \\&\mathrm{~d}=9.5\end{aligned}[/tex]

Therefore, with the height as a function of time, t, expressed in hours, can be modeled by the following equations:

h=0.5cos([tex]\pi[/tex]/6t)+9.5

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The complete question is-

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a.m.

A. h=0.5cos([tex]\pi[/tex]/12t)+9.5

B. h=0.5cos([tex]\pi[/tex]/6t)+9.5

C. h=cos([tex]\pi[/tex]/12t)+9

D. h=cos([tex]\pi[/tex]/6t)+9

The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation is known as the Residual model.

Regression is the process used to predict the variation in one variable based on another variable.

The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation is known as the residual model.

This value s predicted by the regression line.

Residual = Observed value - predicted value

Therefore, the difference is known as residual.

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To predict the bagel sales numbers for the next month, Leigh could use Predict trend.

Given that Leigh has information on how many customers purchase bagel at her coffee shop.

We are required to answer the spreadsheet Leigh could use to predict bagel sales number for the next month.

Spreadsheet is developed for windows, macOS, Android and iOS.It features calculation through functions. In this we can use mathematical functions,logical functions, etc.

Leigh could use predict trend to predict the sales number of bagels of next month.

Hence predict trend could be used by Leigh to predict the sales for the next month.

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Question is incomplete as question should include the following:

What spreadsheet could Leigh use to predict the sales of next month?

Answer: 3/2

Step-by-step explanation:

[tex]f^{-1}(8)=k \implies f(k)=8\\\\\therefore 2k+5=8\\\\2k=3\\\\k=\frac{3}{2}[/tex]

The mean for the given set of data exists at -1 1/3.

Mean exists an arithmetic average of the data set and it can be estimated by dividing a totality of all the data points by the digit of data points in the data set. It exists a point in a data set that exists as the average of all the data points we keep in a set.

Mean = (Sum of terms) / (Number of elements)

To find the mean, we must add all of the numbers and then divide them by the number of values you were given.

-4 + -3 + -1 + -1 + 0 + 1 = -8

There exist a total 6 number of elements in the set of data.

Mean = (Sum of terms) / (Number of elements)

Mean = (-4 + -3 + -1 + -1 + 0 + 1) / 6

-4 + -3 + -1 + -1 + 0 + 1 = -8

Mean = -8 / 6

= -4/3 = -1 1/3

The mean for the given set of data exists at -1 1/3.

Therefore, the correct answer is option a) -1 1/3.

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The change in the area is represented by the expression ΔA = 9 · x + 4, where x is the original width of the rectangle.

By geometry we know that the area of a rectangle is equal to the product of its width (x) and length (y). Based on the statement, the original rectangle is equal to:

A = x · y

A = x · (2 · x - 3)

And the change in the area is:

A + ΔA = (x + Δx) · (y + Δy)

A + ΔA = x · y + Δx · y + Δy · x + Δx · Δy

ΔA = Δx · y + Δy · x + Δx · Δy

ΔA = (2 · x - 3) · Δx + Δy · x + Δx · Δy

ΔA = 2 · (2 · x - 3) + 5 · x + 10

ΔA = 9 · x + 4

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Answer:

{x | x > –5}

{x | x > –3}

{x | x > 3}

{x | x > 5}

Step-by-step explanation:

Answer:

π/4 − x

Step-by-step explanation:

I hope its correct

Answer:

  c.  Substitute

Step-by-step explanation:

A graph of the function on the left shows the parabola touches the x-axis at x = -8/3. That is, the vertex is on the x-axis. It crosses the y-axis at y = 64.

A given solution to an equation can be verified by substituting that value into the equation an showing the result is a true statement. Here, the value x=-8/3 is a root of the given equation because that value makes the equation true.

  [tex]9\left(-\dfrac{8}{3}\right)^2+48\left(-\dfrac{8}{3}\right)+64=0\\\\9\left(\dfrac{64}{9}\right)-\left(\dfrac{48\cdot8}{3}\right)+64=0\\\\64-\dfrac{3\cdot2\cdot8\cdot8}{3}+64=0\\\\64-2\cdot64+64=0\\\\0=0\qquad\text{True}[/tex]

A factor of the polynomial function is (d) x + 4

The solution of the cubic function f(x) are given as:

−4, 5/3, and 1.

This means that:

x = -4, x = 5/3 and x = 1

Set the above equations to 0

x + 4 = 0, x - 5/3 = 0 and x - 1 = 0

From the list of options, we have

(d) x + 4

Hence, a factor of the polynomial function is (d) x + 4

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Step-by-step explanation:

No. of points got from 1 stunt = 50.

No. of points deducted from 1 fail = 40.

6 stunts and 9 falls were gained last week.

So, A/C the number of points earned =

(6×50)-(9×40)

= 300 - 360

= -60

Her score today is 3 times her score from last week so multiply by 3

= (-60) × 3

= -180

If it were multiplied by -3 instead of 3 it would be...

(-60) × (-3)

= 180

The difference would be that on multiplying with positive 3 she would be 180 points in the whole but multiplying with negative three means she is 180 points in the league.

The similarity is that that whole number is same but the symbol adds a difference and the absolute value would be same too.

The probability that a random sample of 12 students will have a mean reading rate of more than 95 wpm is 0.0418.

There are several sorts of mean in arithmetic, in particular in statistics. each implies serves to summarize a given institution of information, often to better recognize the general fee of a given record set.

They imply (aka the mathematics mean, extraordinary from the geometric imply) of a dataset is the sum of all values divided with the aid of the entire variety of values. it is the maximum commonly used a degree of crucial tendency and is regularly referred to as the “average.”

Common can truely be described as the sum of all of the numbers divided by means of the entire quantity of values. An average is described as the mathematical common of the set of or more statistics values. common is commonly described as implying or arithmetic mean. mean is really a method of describing the average of the sample.

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Answer:

1.

x=-10

x=-6

2.

x=10

x=-3

Step-by-step explanation:

to find the zeros of a function you need to set it equal to zero:

x^2+16x+60=0

then you factor

(x+10)(x+6)=0

then you have to finish factoring/simplifying

x+10=0

  -10

x=-10

x+6=0

 -6

x=-6

and the same thing for number 2

x^2-7x-30=0

(x-10)(x-3)=0

x=10, x=3

Answer:

1.) x = -10, x = - 6

2.) x = 10, x = -3

Step-by-step explanation:

1.) factorize and set the equation to zero by multiplying a and c and finding factors of it that will result in b once added/subtracted

[tex]x^2+16x+60\\(x+10)(x+6)\\(x+10)(x+6)=0\\x=-10, x=-6[/tex]

2.) do the same for number 2:

[tex]x^2-7x-30\\(x-10)(x+3)\\(x-10)(x+3)=0\\x = 10, x = -3[/tex]

i hope this helped!

The necessary solution that would be used to fill in the blanks would be

The way that Quintin would be able to do this would be the center of the circumferential triangle is equidistant from the vertices.

The center is going to be the intersection of the bisectors of the three sides of the given triangle.

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perpendicular bisectors, is the center of, circumscribed

Answer:

In the image

Hope this helps!

Step-by-step explanation:

1. perpendicular

2. is the center of

3. circumscribed

Answer:

8.9mm

Step-by-step explanation:

To solve for x, we use the Pythagoras theorem.

Pythagoras theorem states that in a right angled triangle, the square of the Hypotenus is equal to the sum of the square of the other two sides.

The Hypotenus is the longest side, or the side facing the right angle.

From the question above,

[tex]12.4 {}^{2} = \: 8.6 {}^{2} + x {}^{2} \\ \\ 153.76 \: = 73.96 \: + x {}^{2} \\ \\ collecting \: liketerms \\ \\ x { \: }^{2} = 153.76 - 73.93 \\ = 79.83 \\ \\ squareroot \: bothsides \\ \\ \sqrt{x {}^{2} } = \sqrt{79.83} \\ \\ x = 8.9[/tex]

Answer:

x/2>5

x>5*2

x>10.....equation 1

3x≥9

x≥9/3

x≥3.....equation 2

so by combining of the two equation we get

x>10 because it is the intersection of the. . two equations.

The answer will the Third

Considering the mean of a discrete distribution, you are expected to earn $0.13 by the end of the game.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Since 71% of your rolls are successful and 29% of your rolls are unsuccessful, the distribution of your earnings is:

Hence the expected value is:

E(X) = 1 x 0.71 - 2 x 0.29 = 0.71 - 0.58 = 0.13

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Answer:

There is only one way to assign the athletes to the team by giving 5 athletes to each team