x^2-18x+67=0
form:
(x+?)^2 = ?
(x-?)^2 = ?

Answers

Answer 1

Answer: form by math and can multiply two numbers or divide your choice

Step-by-step explanation:


Related Questions

The following figure has rotational symmetry.



True
False

Answers

False if u rotate it, it will not be semetrical to itself

Answer:

The correct answer is false.

Step-by-step explanation:

Two more than a number is the same as 16 decreased by 6 times the number. Find the number .

Answers

We can write this as an equation:
X+2=16-6x
We got his equation by representing “a number” as x and using the various key words to build the equation.
2 more than a number can be represented as x+2 because “more than” emphasizes adding and “a number” is written as x.
We can write 16 decreased by 6 times the number as 16-6x because “decreased” emphasized subtracting and “times” emphasizes multiplication. We can write the multiplication of a number and a unknown number by just writing them together.
Now that we have our equation, let’s solve.
Subtract 2 on both sides.
X=14-6x
Add 6x on both sides.
7x=14
Divide both sides by 7.
X=2
Hope his helps!

There are 70 campers and 6 instructors going to camp loon. If the vans hold 8 people,how many vans do they need?

Answers

They need about 9 vans.

HELP!!! PLEASE!!!! 70 POINTS AND WILL MARK BRAINLIEST!!!!!

Answers

Answer:

41

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Ello mates how are yall this fine time of day? what is 2+2?

Answers

Answer:

2+2 is 4

Step-by-step explanation:

Answer:

im doing just find what about you mate

Step-by-step explanation:the answer  is 4

Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 3, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find dx/dt when x = 40. dx dt =

Answers

Answer:

Step-by-step explanation:

If y = 2x + 1, then dy/dt = 2(dx/dt).

If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x.  y = 81.

(a) if dx/dt = 3, find dy/dt when x = 4:

       Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.

(b) if dy/dt = 2, find dx/dt when x = 40:

        Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.

Final answer:

First, you differentiate the given function. Next, apply the chain rule which states dy/dt = dy/dx * dx/dt. Substitute the known values to find dy/dt. For the second part, rearrange the chain rule to find dx/dt = dy/dt / dy/dx and substitute the known values.

Explanation:

This question deals with the basic application of the chain rule in differentiation. The given function is y = 2x + 1, where both y and x are functions of t. You are supposed to determine dy/dt and dx/dt.

(a) First, differentiate y = 2x + 1 with respect to x to obtain dy/dx = 2. According to the chain rule in calculus, dy/dt = dy/dx * dx/dt. Substituting the known values from the question, we have dy/dt = 2 * 3 = 6 when x = 4.

(b) For dy/dt = 2, you need to rearrange dy/dt = dy/dx * dx/dt to find dx/dt = dy/dt / dy/dx. As dy/dx = 2, you can evaluate dx/dt = 2 / 2 = 1 when x = 40.

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Find the limit. use l'hospital's rule where appropriate. if there is a more elementary method, consider using it. lim x → (π/2)+ cos x 1 − sin x

Answers

Looks like the limit is

[tex]\displaystyle\lim_{x\to\pi/2^+}\frac{\cos x}{1-\sin x}[/tex]

which yields an indeterminate form [tex]\dfrac00[/tex]. Rewriting as

[tex]\dfrac{\cos x(1+\sinx)}{(1-\sin x)(1+\sin x)}=\dfrac{\cos x(1+\sin x)}{1-\sin^2x}=\dfrac{1+\sin x}{\cos x}[/tex]

we see the numerator approaches 1 + 1 = 2, while the denominator approaches 0. Since [tex]\cos x<0[/tex] for [tex]x[/tex] near [tex]\dfrac\pi2[/tex] with [tex]x>\dfrac\pi2[/tex], the limit is [tex]-\infty[/tex].

If 10 boxes of 10 muffins each and each muffin has 10 blueberries use it exponent to write an expression for the total number of blueberries

Answers

Answer: [tex]b=10^3[/tex]

Step-by-step explanation:

You know that there are 10 blueberries in each muffin. There are 10 muffins in each box and the total number of boxes is 10.

Then, to calculate the total number of blueberries, you need to multiply the total number of boxes by the number of muffins in each box and multiply this by the number of blueberries in each muffin.

Let be "b" the total number of blueberries. Then:

[tex]b=10*10*10[/tex]

By the Product of powers property:

[tex]a^m*a^n=a^{(m+n)}[/tex]

Then you can write the expression:

[tex]b=10^3[/tex]

An Olympic floor exercise mat has an area of 144 square meters. It's length is 12 meters.What is the shape of the mat?

Answers

Answer:

The shape of the mat is a square

Step-by-step explanation:

we know that

The area of the rectangle (An Olympic floor exercise mat) is equal to

[tex]A=LW[/tex]

we have that

[tex]A=144\ ft^{2}[/tex]

[tex]L=12\ ft[/tex]

substitute the values and solve for W

[tex]144=12W[/tex]

[tex]W=144/12=12\ ft[/tex]

so

The length is equal to the width

therefore

The shape of the mat is a square

A bus travels 36 miles in 45 minutes. How many miles will it travel in 60 minutes at this rate?

Answers

Answer:

48 miles

Step-by-step explanation:

7 is what percent of 20?
Solve this question without using any algebra (variables) and solely by using numbers

Answers

35%



7/20

Multiply both sides by 5.

35/100

35%

Vector u has a magnitude of 5 units, and vector v has a magnitude of 4 units. Which of these values are possible for the magnitude of u + v?

More than one answer is possible

A. 1

B. 9

C. 11

D. 13

Answers

I think A and B because 4-5=1 and 4+5=9

Rosa is painting two murals.The small mural has an.Area of 2.5 square meters.The Large mural has an area 1.5 times greater than the area of the small mural.What is the are of the large mural

Answers

3.75 square meters

2.5x1.5=3.75

Answer:

6.25 m²

Step-by-step explanation:

The area of the small mural is 1.5 times greater than that of the small mural.

That means the area of the large mural is 2.5 times the area of the small mural.

Area = 2.5 × 2.5 m² = 6.25 m²

The area of the large mural is 6.25 m².

The value of [tex]\sqrt[3]{x}[/tex] where x is an integer, is located between 6 and 7 on the number line. What could be the value of x?

Answers

 

[tex]\displaystyle\\6<\sqrt[3]{x}<7~~~\Big|^3\\\\6^3<\Big(\sqrt[3]{x}\Big)^3<7^3\\\\216<x<343\\\\\boxed{x\in\{217,~218,~219,~220,~\cdots~,~340,~341,~342\}}[/tex]

.

Answer:

Step-by-step explanation:

The value would be 6.5

Find the limit if it exists.

Answers

Answer:

b. 27

Step-by-step explanation:

When finding the limit of a function with no domain restrictions, just plug in the value and evaluate the function

2(2)³ + 2² + 7

    2(8) + 4 + 7

        16 + 4 + 7

                    27

         

Answer:

the value of the given limit is 27

Step-by-step explanation:

[tex]\lim_{x \to 2} (2x^3+x^2+7)[/tex]

To find out the limit , we directly plug in 2 for x inside the given expression

[tex]\lim_{x \to 2} (2x^3+x^2+7)[/tex]

[tex]2(2)^3+(2)^2+7[/tex]

Evaluate the expression

[tex]2(8)+4+7[/tex]

[tex]27[/tex]

So, the value of the given limit is 27

find the area of the sector where the radius is 6 meters and the central angle is 78°

Answers

Answer:13

Step-by-step explanation:you have to divide it  

The area of a sector is found using the formula :

Area = πr^2(angle/360)

R is given as 6 meters and the angle is given as 78 degrees.

Area = π * 6^2 * (78/360)

Area = π * 36 * 0.21666

Area = π * 7.8

Area = 7.8π square meters. ( Exact area in terms of PI)

or using 3.14 for PI: Area = 24.492 square meters.

Round the decimal area as needed.

A circle has an area of 100 π square inches. What is the circumference of the circle?
A. 10 π inches
B. 20 π inches
C. 2.5 π inches
D. 5 π inches

Answers

I think it’s Cnincouod be wrong

2x - y = 5 3x + 2y = 4 Solve the system of equations. A) (3, 1) B) (0, 2) C) (2, -1) D) ( 9 7 , 17 7 )

Answers

solve the system with elimination

multiply the first equation by two to cancel

2(2x-y=5) new equation 4x-2y=10

now the -2y and 2y cancel each other out

now you have 4x=10 + 3x=4 = 7x=14

divide by 7 to get x=2 now we have to find y by plugging x into one of the equations(let's use the first one)

2(2)-y=5 --> 4-y=5 --> -y =1 --> y =-1

(x,y) (2,-1)

Solving the system of equation, we get Option (C) (2,-1).

How to solve the given set of equations ?

The equations given are 2x - y = 5 and 3x + 2y = 4.

To find the point which solves the two equation, we have to satisfy the given x and y coordinates of the point on the given two equations.

Checking all the other Options, it does not satisfies except Option (C).

Checking the point (2,-1) on the first equation 2x - y = 5 , we get 5 in the left hand side of the equation.

Again checking the point (2,-1) on the second equation 3x + 2y = 4 , we get 4 in the left hand side of the equation.

Therefore the coordinates (2,-1) (Option C) satisfies both the equation which is the required solution.

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A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited the salon were 40, 30, 28, 22, 36, 16, and 50. It can be assumed that weekday customer visits follow a normal distribution. [You may find it useful to reference the t table.] a. Construct the 90% confidence interval for the average number of customers who visit the salon on weekdays. (Round intermediate calculations to at least 4 decimal places, "sample mean" and "sample standard deviation" to 2 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.)

Answers

Final answer:

To construct a 90% confidence interval for the average number of customers who visit the salon on weekdays, calculate the sample mean and standard deviation, determine the critical t-value, and use the confidence interval formula to find the range.

Explanation:

To construct a 90% confidence interval for the average number of customers who visit the salon on weekdays, we first calculate the sample mean and the sample standard deviation. The sample mean is the average of the seven data points (40, 30, 28, 22, 36, 16, and 50), which is 32. The sample standard deviation is the measure of variability in the data, which is calculated to be approximately 12.11.

Next, we determine the critical t-value for a 90% confidence interval with 6 degrees of freedom (7 data points minus 1). We can find this value in the t-distribution table or use statistical software, and it is approximately 1.943.

Finally, we can calculate the confidence interval using the formula: Confidence interval = sample mean ± (t-value * standard deviation / square root of sample size). Plugging in the values, we get the confidence interval as (23.52, 40.48). Therefore, we can be 90% confident that the average number of customers who visit the salon on weekdays falls within this range.

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Whats the original price of a pair of shoes in the sale price is $27 after a 25% discount

Answers

the original price would have been $36

Final answer:

The original price of a pair of shoes on sale for $27 after a 25% discount is calculated by dividing the sale price by 0.75, which gives us $36 as the original price.

Explanation:

To find the original price of a pair of shoes if the sale price is $27 after a 25% discount, we need to reverse the discount process. A 25% discount means that the sale price is 75% of the original price, since 100% - 25% = 75%. We can represent the original price with the variable 'P', and the equation we use is 0.75P = $27.

To find P, we divide both sides of the equation by 0.75:

P = $27 / 0.75

P = $36

Therefore, the original price of the pair of shoes was $36.

Help please:

Find the product of (3x − 7y)2. (2 points)



9x2 − 42xy + 49y2

9x2 + 42xy + 49y2

9x2 − 49y2

9x2 + 49y2

Answers

The product of (3x - 7y)^2 is found by squaring the binomial using the FOIL method, which leads to 9x^2 - 42xy + 49y^2.

To find the product of (3x \\- 7y)^2, you must square the binomial. This means you will multiply the binomial by itself. When you square a binomial, you use the FOIL method (First, Outer, Inner, Last) to multiply the terms.

First: (3x)(3x) = 9x^2
Outer: (3x)(-7y) = -21xy
Inner: (-7y)(3x) = -21xy
Last: (-7y)(-7y) = 49y^2

Combine like terms (the Outer and Inner terms in this case).

9x^2 - 21xy - 21xy + 49y^2 = 9x^2 - 42xy + 49y^2

Thus, the product of (3x - 7y)^2 is 9x^2 - 42xy + 49y^2.

complete the square to determine the minimum or maximum value of the function defined by the expression -x^2-4x+15

Answers

[tex] - {x}^{2} - 4x + 15 \\ = - {x}^{2} - 4x - 4 + 15 + 4 \\ = - ( {x}^{2} + 4x + 4) + 19 \\ = \underbrace{- {(x + 2)}^{2}}_{ \leqslant 0} + 19 \\ \Rightarrow - {(x + 2)}^{2} + 19 \leqslant 19 \\ \Rightarrow Maximum \: value \: is \: 19 \: as \: x=-2

[/tex]

Write and equation of the translated or rotated graph in general form (picture below)

Answers

Answer:

The answer is hyperbola; (x')² - (y')² - 16 = 0 ⇒ answer (a)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

 xy = -8

∵ A = 0 , B = 1 , C = 0

∴ B² - 4 AC = (1)² - 4(0)(0) = 1 > 0

∴ B² - 4AC > 0

∴ The graph is hyperbola

* The equation xy = -8

∵ We have term xy that means we rotated the graph about

  the origin by angle Ф

∵ Ф = π/4

∴ We rotated the x-axis and the y-axis by angle π/4

* That means the point (x' , y') it was point (x , y)

- Where x' = xcosФ - ysinФ and y' = xsinФ + ycosФ

∴ x' = xcos(π/4) - ysin(π/4) , y' = xsin(π/4) + ycos(π/4)

∴ x' = x/√2 - y/√2 = (x - y)/√2

∴ y' = x/√2 + y/√2 = (x + y)/√2

* Lets substitute x' and y' in the 1st answer

∵ (x')² - (y')² - 16 = 0

∴ [tex](\frac{x-y}{\sqrt{2}})^{2}-(\frac{x+y}{\sqrt{2}})^{2}=[/tex]

 ( [tex]\frac{x^{2}-2xy+y^{2}}{2})-(\frac{x^{2}+2xy+y^{2}}{2})-16=0[/tex]

* Lets open the bracket

∴ [tex]\frac{x^{2}-2xy+y^{2}-x^{2}-2xy-y^{2}}{2}-16=0[/tex]

* Lets add the like terms

∴ [tex]\frac{-4xy}{2}-16=0[/tex]

* Simplify the fraction

∴ -2xy - 16 = 0

* Divide the equation by -2

∴ xy + 8 = 0

∴ xy = -8 ⇒ our equation

∴ Answer (a) is our answer

∴ The answer is hyperbola; (x')² - (y')² - 16 = 0

* Look at the graph:

- The black is the equation (x')² - (y')² - 16 = 0

- The purple is the equation xy = -8

- The red line is x'

- The blue line is y'

Answer:

a. hyperbola;

If a flowering tree is cared for properly, the number of blossoms produced on the tree will exponentially increase until the tree reaches maturity. Which graph could show y, the number of blossoms expected on a flowering tree, for each year after the young tree is planted, x?



Answers

Answer:

2nd graph

Step-by-step explanation:

Exponential increase will be a graph that increase all throughout and the rate of increase "increases" with age.

We can rule out first graph because if you draw smooth curve along the dots, it shows increase, then decrease.We can rule out third graph because it is increasing BUT not exponentially, rather, at a constant rate.We can rule out fourth graph because it is decreasing (exponentially).

The 2nd graph is correct because it shown "increase" as well as "exponential" increase (the rate of increase increases).

Answer: 2nd graph

Your answer is going to be the second graph


An experiment consists of rolling a die, flipping a coin, and spinning a spinner divided into 4 equal regions. The number of elements in the sample space of this experiment is

3

48

6

12

Answers

Answer:

The correct answer option is 48.

Step-by-step explanation:

In the given experiment, three events take place which include rolling a die, flipping a coin and spinning a spinner.

The possible outcomes of each of these events are as follows:

Rolling a die - 6

Flipping a coin - 2

Spinning a spinner - 4

Therefore, by multiplying their possible outcomes, we can find the number of elements in the sample space of this environment.

Number of elements = 6 × 2 × 4 = 48

explain this if you can i struggle with Discrete and Continuous Data

Answers

Answer:

option A

{1, 2, 4, 7, 9}

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable. Mostly it is 'x' values.

In the figure the tail of arrow represent values of domain and head of arrow represent values of range.

So,

{1, 2, 4, 7, 9} is the domain of G(x) and {3, 5, 8} is the range

i need hep with this ape question plz

Answers

Answer:

A

Step-by-step explanation:

The first "circle" is the "domain", which is the set of x values of the function.

The second "circle" is the "range", which is the set of y values of the function.

The range is 4, 7, 9. There are a few x values that match to same y-values but the range is basically the three numbers, 4, 7, and 9.

Option A, {4,7,9} is the correct answer.

Decide if the function is an exponential function. If it is state the initial value and the base y=x^2

Answers

Answer:

B

Step-by-step explanation:

The exponential function is the function of the form

[tex]y=a\cdot b^x,[/tex]

where [tex]b[/tex] is the base and [tex]a[/tex] is the initial value.

The function [tex]y=x^2[/tex] is the quadratic function, which cannot be represented as [tex]y=a\cdot b^x.[/tex] Thus, this function is not exponential.

Answer:

The answer is B.

Step-by-step explanation:

A community organization surveyed 40 members to determine if they world vote yes or no for the proposition a in the next election
Twelve of the surveyed members said they would vote yes there are a total of 240 members in the community organization how many members are expected to vote yes

Answers

Answer:

72 voters

Step-by-step explanation:

Total surveyed members: 40

Total members with a yes vote: 12

Percentage of the voters (voting yes): [tex]\frac{12}{40} * 100 = 30%[/tex]

From analysis, it is observed that 30% of the voters are expected to vote yes in a sample.

Therefore, the number of voters expected to vote yes out of 240 are: 30% of 240

=> [tex]\frac{30}{100} * 240 = 72[/tex]

 

Answer:

72 voters

Step-by-step explanation:

Calculate the weight of an individual who uses 69.75 g of protein based on the 0.45 factor. How much does he weigh? 31 lbs. 69.3 lbs. 70.2 lbs. 155 lbs.

Answers

Answer:

155 lbs.

Step-by-step explanation:

69.75 g of protein divided by 0.45= 155

Answer: He weighs 155 lbs.

Step-by-step explanation:

Since we have given that

Amount of protein he used = 69.75 g

Factor = 0.45

We need to find the weight of an individual.

So, Weight of an individual is given by

[tex]Weight\times factor=Protein\\\\Weight=\dfrac{Protein}{Factor}[/tex]

[tex]=\dfrac{69.75}{0.45}\\\\=155\ lbs[/tex]

Hence, he weighs 155 lbs.

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