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Answer: One Real Solution

We can Identify the coefficients a, b, and c from your equation because as it says, it is in the format of the quadratic equation ( ax^2 + bx + c = 0 )

a=2,b=-4,c=2

Now we can use the discriminant to determine how many solutions this has using the equation b^2 - 4ac

Once we plug in our coefficients:

(-4)^2 - 4 x 2 x 2

Once we simplify, we get 0.

One real solution.

I hope this helps.

In this case, we first need to simplify the given quadratic equation 2x² - 4x = -2, and to do so, we perform the following simplification steps:

For a quadratic equation of the form ax² + bx + c = 0, the discriminant is calculated using the following formula:

   Δ = b² - 4ac

In this case, we have that the equation that we must solve is 2x²-4=-2, which implies that the corresponding coefficients are:

By introducing these values into the formula we get:

         Δ = b² - 4ac = (-4)² - 4·(2)·(2) = 0

Therefore, the discriminant for the given quadratic equation is Δ=0=0, which is zero, and indicates that the equation 2x²-4=-2 has only one real root.

Answer:

find p (A or ),given that A and B are independent

Answer:

{(-1,4), (2, 4), (8,4), (10,4)}

all of the x-values are different

Step-by-step explanation:

The other three options have duplicate x-values with different y-values.

Answer:

(-1, 7)

Step-by-step explanation:

First, set both equations equal to each other:

(y = x^2 – 4x + 2) = (y = -x^2 – 8x)

x^2 – 4x + 2 = -x^2 – 8x

x^2 + x^2 – 4x + 2 = -x^2 + x^2 – 8x

2x^2 - 4x + 2 = -8x

2x^2 - 4x +8x + 2 = -8x + 8x

2x^2 + 4x + 2 = 0

2(x^2 + 2x + 1) = 0

x^2 + 2x + 1 = 0

x^2 + x + x + 1 = 0

x(x+1) + 1(x+1) = 0

(x+1)(x+1) = 0

x+1=0

x=-1

y = -x^2 – 8x

y = -(-1)^2 – 8(-1) ==> plug in the x-value back into one of the equations

y = -1 – (-8)

y = -1 + 8

y=7

(-1, 7)

The linear equation with a slope of 1/2 and that passes through the point (1, -2) is written in point-slope form as:

y = (1/2)*(x - 1) - 2

For a linear equation with a slope m and a known point (h, k), the slope-point form is written as:

y = m*(x - h) + k

Where y and x are the two variables.

Here we know that the slope is 1/2, and the known point is (1, -2), then the values on the equation above are:

m = 1/2

h = 1

k = -2

Replacing that in the general formula for the linear equation in the slope-point form that is written above, we will get:

y = (1/2)*(x - 1) - 2

That is what we wanted to find.

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The function‘s end behavior is falls to the left and rises to the right.

The given function is [tex]f(x)=-10+2x^5-9x^3[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Use the degree and the leading coefficient to determine the behavior.

Falls to the left and rises to the right.

Find where the first derivative is equal to 0 to find the local maxima and minima.

x =−3√30/10 is a local maximum

x = 3√30/10 is a local minimum

Therefore, the function‘s end behavior is falls to the left and rises to the right.

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The time it would take the rocket to hit the ground upon launch is; 3 seconds.

It follows from the task content that the time taken for the rocket in discuss to hit the ground upon launch is to be determined.

Since the given formula for the height in terms of time, t is;

h = - 3t² + 3t + 18

It follows that ; when the rocket hits the ground; the height; h = 0.

Therefore;

0 = - 3t² + 3t + 18

0 = -3t² + 9t - 6t + 18

0 = -3t ( t - 3 ) - 6 ( t - 3)

-3t - 6 = 0 OR. t - 3 = 0.

t = -2. OR. t = 3.

Therefore, since the time after launch can only be positive; the time taken for the rocket to hit the ground is; 3 seconds.

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The area of walk is 504 square feet

The area of rectangle is define as a  product of length L and width w

calculate the area of rectangle yard

Area = L x W,  

where A equal the Area, L equals the length and W equal width.

A = 35 x 55

A= 1925 square feet

Area of the rectangular yard is 1925 square feet

From the question, we have 3ft wide goes all the way along the fence inside.

Therefore, we subtract six feet from each of the value of length ( 35) and width (55) because each side has 3feet .

Area = L x W

A = 29 x 49

A = 1421 square feet

Area of new rectangle formed by allowing for three foot walk is 1421 square feet

Area of Walk

To get the area walk;  we subtract area of new rectangular formed from area of rectangular yard

Area of Walk = Area of Rectangular yard - Area of new rectangle

Area of Walk = 1925 - 1421

Area of Walk = 504 square feet.

Therefore, the area of walk is 504 square feet.

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The area of this rectangular walk is 390[tex]ft^{2}[/tex]

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

The width of the walk is constant and is 2ft, length of the walk is determined by the part of the rectangular yard.

Area of walk = 3 x 27 +3x27 + 3 x 38 + 3 x 38 which is 390[tex]ft^{2}[/tex]

In conclusion the area of the walk is 390[tex]ft^{2}[/tex]

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Cindy's monthly payment of $609.63 will cost her $29,262.24 in 4 years at a 4% APR.

The total cost that Cindy will spend on the car which costs $27,000 is computed by multiplying the monthly payment by 48 months (the payment period).

The monthly payment can be determined using an online finance calculator that compounds the interest rate monthly for four years.

Cost of car = $27,000

Annual Percentage Rate (APR) = 4%

Payment period = 4 years (monthly)

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 4%

PV (Present Value) = $27,000

FV (Future Value) = $0

Results:

PMT = $609.63

Sum of all periodic payments = $29,262.24

Total Interest = $2,262.45

Thus, Cindy will spend $29,262.24 for a car that costs $27,000, if she repays monthly for 4 years.

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Answer please anyone help same doubht

Step-by-step explanation:

Answer:

Refer to the photos taken.

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

Simple

you will just substitute where there is x

for example if f(x)=3x+1 what is f(-2) so we will just substitute( place 2 for x)

it will now be f(-2)=3(-2)+1

=-6+1

=-5

so back to your question My friend

f(x)=4(3-x)

f(-11)=4(3-11)

=4(-8)

=-32

Thanks

Answer:

2 1/4 kg

Step-by-step explanation:

The Distributive property on the expression gives a result of 4.9 and the distributed expression is (2 + 4) * 0.82

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

The expression is given as:

The product of 6 and 0.82

Mathematically, this expression can be represented as

6 * 0.82

To apply the distributive property,

We need to express 6 as the sum of two numbers

So, we have the following representation

6 * 0.82 = (2 + 4) * 0.82

Remove the brackets

6 * 0.82 = 2 * 0.82 + 4 * 0.82

Expand the terms of the expression

6 * 0.82 = 1.64 + 3.28

Evaluate the sum

6 * 0.82 = 4.92

Hence, the solution is 4.9

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Answer:

Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1.

Step-by-step explanation:

Answer:

5, 4, 7

Step-by-step explanation:

Answer: C. 1

Step-by-step explanation:

[tex](-i)^6 =(-1)^6 i^6 =(-1)(-1)=1[/tex]

Answer:

100 times square times Y 49 gives= 14000

Answer:

43x+3x+17y

Step-by-step explanation:

because 43x+17y+3x=43x+17y+3x

The number 5i located on the complex plane in I Quadrant.

What is Complex Plane?

The real axis and the imaginary axis are the graph's horizontal and vertical axes, which are orthogonal (or perpendicular). The labels Re and Im are typically present. The complex plane is the plane defined by these coordinates.

We are aware that in a two-dimensional plane, an ordered pair's x- and y-coordinates are treated as the real and imaginary parts of the complex number, respectively.

i.e., a+bi=(a,b) -- Quadrant I,

    -a+bi=(-a,b) -- Quadrant II,

     a-bi=(a,-b) -- Quadrant III

and

     -a-bi=(-a,-b) -- Quadrant IV

The complex number that is being presented is 5i, aland it is located in quadrant I.

As a result, the complex number in question belongs in Quadrant I.

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Answer:

undefined

Step-by-step explanation:

The square root of any negative number is undefined because there is no possible solution. - × - = + and + × + = +

Answer: 4/3

Step-by-step explanation:

The reciprocal of a/b is b/a.

To find equivalent expression in math is the fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

In mathematics, equivalent fractions are those with the same denominator and differing numerators.

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.

It's crucial to understand the concept of multiplicity in order to correctly count without mentioning exceptions (for example, double roots counted twice). Thus, "counted with multiplicity" is used.

This can be highlighted by counting the number of different elements, as in "the number of separate roots," if multiplicity is disregarded. However, multiplicity is always taken into account when a set (as opposed to a multiset) is established, therefore the word "different" is not necessary.

For instance, if we simplify 5/15, we get a fraction that is equal to 1/3, which is equal to 5/15.

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Assuming [tex]\overline{BC}[/tex] is a diameter, minor arc [tex]AB[/tex] has a measure of [tex]180^{\circ}-108^{\circ}=72^{\circ}[/tex].

Using the inscribed angle theorem, [tex]36=x+3 \implies x=\boxed{33}[/tex].

Step-by-step explanation:

x = the integer number

8×(x + 2) - x = 86

8x + 16 - x = 86

7x = 70

x = 10

x + 2 = 12

the larger integer is 12.

Answer:

[tex]y^6[/tex]

Step-by-step explanation:

1) Use Product Rule: [tex]x^ax^b=x^{a+b}[/tex].

[tex]y^{1+3+2[/tex]

2) Simplify 1 + 3 to 4.

[tex]y^{4+2}[/tex]

3) Simplify 4 + 2 to 6.

[tex]y^6[/tex]

Thank you,

Eddie

Divide the numerator and denominator by the GCF to reduce a fraction. (This is also referred to as "writing a fraction in the simplest terms.") The common factors are sometimes shown to be "cancelled." It is worth noting that the result is an equivalent fraction in its simplest form.

To put it simply, we must divide the numerator (x) by the denominator (y) to simplify it. For example, after simplifying 3 6, represent it as a fraction and identify the numerator and denominator. 3 6 can be written as 3/6. Further simplification yields 1/2.

Let's pretend the fraction is a proper fraction. The denominator is the numerator. We want to reduce the fraction to its simplest form.

a) Use Numerator =Remainder* as the denominator.

Now Numerator >Remainder* b)Numerator Remainder*=Remainder** c) ••• (keep going until Remainder =0)

d) When the Remainder equals zero, the Divisor is the GCD (or GCF, as you say). GCF is a misnomer because it only deals with numbers. Only the term GCF applies to variables (with numerical values, as in algebraic expression).

Let us look at an example.

407/3367 is the fraction.

As evident, the numbers407 ,3367 does not appear to have share Divisors 2 or 3 or 5 or 7 or 11 from prima facie considerations. So we may take recourse of successive division method.

3367 ÷407 =Remainder 111 (quotient 8)

407 ÷ 111 =Remainder 74 (quotient 3)

111 ÷74=Remainder 37 (quotient 1)

74 ÷37 =Remainder 0 (ZERO )

Here 37 divides leaving Remainder zero. Therefore the GCD is 37

Fraction 407 /3367 =(407 ÷37)/(3367÷37)=11/91

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The linear equations that represent the relationships in the question order are;

A linear equation is an equation of the form; y = m·x + c

The slope of the line is found as follows;

(-5 - (-21))/(-1 - (-5)) = 4

The equation is y - (-5) = 4·(x - (-1)) = 4·x + 4

y = 4·x + 4 - 5 = 4·x - 1

The y-intercept is (0, 4), the x-intercept is (4, 0)

The slope is therefore; (0 - 4)/(4 - 0) = -1

The equation is therefore; y - 0 = -1 × (x - 4) = -x + 4

The y-intercept is (0, -1), the x-intercept is (4, 0)

The slope is therefore; (0 - (-1))/(4 - 0) = 1/4

The equation is therefore; y - 0 = (1/4) × (x - 4) = x/4 - 4/4 =

The slope of the line is; [tex]\dfrac{-3\frac{3}{4} - \left(-\frac{3}{4}\right) }{4-1} = -1[/tex]

y - (-3/4) = -1 × (x - 1) = -x + 1

y = -x + 1 - (3/4) = -x + 1/4

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