Which shows the equation below written in the form ax² + bx + c = 0?
x+ 9 = 2(x-1)²

Answer:

17

Step-by-step explanation:

3(5)+2=17

Answer:

17

Step-by-step explanation:

3x+2   substitute 5 for x

3(5) +2 distribute

15+2 solve

17

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

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

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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Answer:

11 is the answer

Step-by-step explanation:

Answer: The shape cannot be determined since we don’t know the shape of either population distribution.

Step-by-step explanation:

Answer

Yes, zero is contained in the interval

Answer:

ACT score

It has a higher standardized score than his SAT

Step-by-step explanation:

Obtain the standardized score for both SAT and ACT

SAT:

Mean = 515

Standard deviation = 115

Score (x) = 610

ACT:

Mean = 21

Standard deviation = 5.1

Score (x) = 27

ZSCORE for SAT:

Zscore = (x - mean) / standard deviation

Zscore = (610 - 515) / 115

Zscore = 0.826

ZSCORE for ACT:

Zscore = (x - mean) / standard deviation

Zscore = (27 - 21) / 5.1

Zscore = 1.176

He should use his ACT score has it has a higher standard score than his SAT score. Hence, his ACT score weighs higher Than his SAT score

Answer:

It would equal -3

Step-by-step explanation:

you are trying to find how to get a positive 21 so you would have to divide 21 by -7

21 ÷ -7 = -3

to make sure it's correct muiltply it

-7 × -3 = 21

So therefore n = -3

Answer:

A fancy way of saying "solutions" of the equation

Answer:

5x + 2y = 12

3x + 4y = 13.50

One Hersey bar = 1.5

One pack of Starburst = 2.25

Step-by-step explanation:

Let :

Cost of one Hersey bar = x

Cost of one pack of Starburst = y

System of equation :

For Jack :

5x + 2y = 12 - - - (1)

For Joey :

3x + 4y = 13.50 - - - (2)

To determine the cost per Hersey bar and pack of Starburst

5x + 2y = 12 - - - (1)

3x + 4y = 13.50 - - (2)

Multiply (1) by 3 and (2) by 5

15x + 6y = 36 - - - (3)

15x + 20y = 67.50 - - - (4)

Subtract (4) from (3)

-14y = - 31.50

y = 31.50 / 14

y = 2.25

Using (1)

5x + 2y = 12

Put y = 2.25

5x + 2(2.25) = 12

5x + 4.50 = 12

5x = 12 - 4.50

5x = 7.50

x = 1.5

Answer:

7k + 6

Steps:

Subtract the numbers 20+6k-14k+k

6+6k+k

Combine the terms:

6+6k+k

6+7k

Rearange terms:

6+7k

7k+6

Step-by-step explanation:

1. 7 (-6)=42

after 7 weeks the price will be reduced by 7 time

the price will be reduced $42

Answer:

7 : 14, or simplified, 1 : 2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

divide by 7 to

Answer:

the two points be

(0,0) and (1,-3)

slope [m]=[-3-0]/[1-0]=-3

constant rate is-3.

Answer:

These asymptotes are very important characteristics of the function just like holes. Both holes and vertical asymptotes occur at x values that make the denominator of the function zero.

The value of the missing data point is 10. Option C

The data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.

Let's arrange the data set in ascending order:

6, 8, ?, 8, 14, 15, 16, 18

Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.

From the given options, the only whole number that could fit as the fourth value in the data set is 10.

Thus, the value of the missing data point is C. 10.

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Answer: 166.72 \(ft^{2}\)

Step-by-step explanation: math

Step-by-step explanation:

All you have to do here is use the surface area, or SA, equation.

Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)

Sa=54.4+81.6+30.72

Sa=166.72

Hope this helped!

Answer:

its D just took the test

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If y  would be less than or equal to  -2/5x+1  , then the line will be the solid one.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

The given equation is y<-2/5x+1

Taking different values for x and y, we have the graph. Since y is  less than.

    -2/5x+1 therefore the line plotted will be dotted because it is not  having equality sign. If y  would be less than or equal to  -2/5x+1  , then the line will be the solid one.

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Answer:

20 percent

Step-by-step explanation:

(I had such a good explanation and accidentally refreshed the page)

So basics

48/60 is in

12/60 is out

Now we focus on out

we know this 12/60 becuase 48 is in and there are 60 tries so 60-48=12

So now 12/60 into a percent

A percent is basically x/100

So we gotta make 12/60 into a fraction with a denominator of 100

SO simplify fto make it easier (try to get it to 4,2,5,10,50,25 anything that goes into 100)

1/5

1/5 is 20 percent

thats a benchmark

But if you don’t know

You can always do a pro proton

1/5=x/100

Cross multiply

100=5x

x=20

Answer:

rate = 100× I / P×T

Step-by-step explanation:

thats the formula but the answer needs to 20 characters at least so I am typing nonsense don't mind. gsuahhauanVahua

Answer:

77y-44

Step-by-step explanation:

when you expand this type of equations you just multiply the coefficient of y and the number by -11

so:

-11*4=-44

-11*-7=77 (note: negative multiplied by negative equals positive)

so the equation now became

-44+77y

exchange places now its:

77y-44

The calculated area of the quadrilateral is 35.82 square units.

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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Answer:

x = 11

Step-by-step explanation:

All the sides of a rhombus are equal, so you can set the equations equal to one another.

2x + 46 = 7x - 9

Subtract 2x from both sides

46 = 5x - 9

Add 9 to both sides

55 = 5x

Divide both sides by 5

x = 11

Mark my answer as the brainliest if it helped you out!

I am not too sure but i think it is 2.7 feet.

Answer:

76.5in²

Step-by-step explanation:

First we will find the area of the square. This is done by multiplying the side length (9in) by itself.

\(9 * 9 = \boxed{81}\)

The area of the square is 81in².

Next we will find the area of the triangular hole. We can use the formula \(\frac{1}{2}bh\), where b is the base of the triangle (3) and h is the height of the triangle (3).

\(\frac{1}{2}bh\\\frac{1}{2}(3)(3)\\\frac{9}{2}\\\boxed{4.5}\)

The area of the triangle is 4.5in².

Now we can find the area of the figure by subtracting the area of the square and the area of the triangular hole.

\(81 - 4.5 = \boxed{76.5}\)

The area of the figure is 76.5in².

That is the answer

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

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

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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the evaluated expressions are: (a) j¹² = 1 ,(b) -1/j⁹ = j ,(c) 5/(2j¹³) = (5/2)j

to solve this use  the properties of the imaginary unit.

what is imaginary unit ?

The imaginary unit is a mathematical concept denoted by i or j (in electrical engineering) that represents the square root of -1. It is called an "imaginary" unit because it does not have a real number counterpart.

In the given question,

To evaluate these expressions, we need to recall the properties of the imaginary unit, j, which is defined as the square root of -1. Specifically, we need to remember that:

j² = -1

j³ = -j

j⁴ = 1

Using these properties, we can simplify the given expressions:

(a) j¹² = (j⁴)³ = 1³ = 1

(b) -1/j⁹ = -1/(j³)³= -1/(-j)³ = -1/(-j³) = -1/(-(-j)) = -1/j = -j/j² = -j/-1 = j

(c) 5/(2j¹³) = 5/(2(j⁴)³*j) = 5/(2*1*j) = 5/(2j) = (5/2) * (1/j) = (5/2) * (-j³/j⁴) = -(5/2)j³ = (5/2)j

Therefore, the evaluated expressions are:

(a) j¹² = 1

(b) -1/j⁹ = j

(c) 5/(2j¹³) = (5/2)j

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. Evaluate the following expression  to simplest form \( j^{12} \); (b) \( -\frac{1}{j^{9}} \); (c) \( \frac{5}{2 j^{13}} \)

Answer:

35.015

Step-by-step explanation:

see attached image