y=-2(x+4)^2+3 find the y-intercept

Answer:

C and D

Step-by-step explanation:

\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)

By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.

The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.

To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.

Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.

Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.

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For #8 its B. 4.5

For #9 is C. 33/5

The number 3.18 can be written as a rational number, specifically 318/100. In other words, 3.18 can be expressed as the rational number 318/100.

To convert a decimal number to a rational number, follow these steps:

Step 1: Write down the decimal number as the numerator of the fraction.

Step 2: Determine the denominator by using the appropriate power of 10. In this case, since 3.18 has two decimal places, the denominator is 100.

Step 3: Simplify the fraction if possible. In this case, 318/100 can be simplified by dividing both the numerator and denominator by 2:

318/100 = 159/50

Therefore, 3.18 can be expressed as the rational number 318/100.

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The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

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Answer:

10 years old

Step-by-step explanation:

lets break it down:

6 more means +6

four times means *4

so if her son is x years old, she is 4x+6

since we know she's 46, we know that 4x+6=46

now we just solve the equation

4x+6=46

-6 on both sides

4x=40

/4 on both sides

x=10

The correct option is (b) i.e. area of rectangle is \(x^{3} y^{4}\).

What is rectangle?

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. the two sides come together at a straight angle  at each corner ,The rectangle differs from a square because its two opposite sides are of equal length.

Given : width of rectangle : xy

            length of rectangle : \(x^{2} y^{3}\)

we know that,  area of rectangle = length × breadth

                                                      =  x²y³ × xy

Now, adding power of terms which has same base.    

we get, \(x^{3} y^{4}\)                                                                

so, the correct option is (b).

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The constant of proportionality of the equation y = 1 / 3 x is 1/3.

Proportional relationships are relationships between two variables where their ratios are equivalent.  In other words, proportional relationship is one in which two quantities vary directly with each other.

Therefore, proportional relationship can be represented as follows:

y ∝ x

y = kx

where

Therefore, the constant of proportionality of y = 1 / 3 x is 1 / 3

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The value of m<RQS as required to be determined in the task content is; 70°.

It follows from the task content that the measure of angle RQS is to be determined as required.

Recall, the measure of the central angle subtended by an arc is twice that which it subtends at any point on the circumference.

Therefore, m<RPS = 2 • m<RQS.

m<RQS = 140°/2

m<RQS = 70°.

Ultimately, the measure of angle RQS are; 70°.

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Answer:

3 x 21.50= 64.50

3 x 7.96= 23.88

3 x 14.99= 44.97

Altogether equals  133.35

400-133.35= 266.65

Answer:

3 x 21.50= 64.50

3 x 7.96= 23.88

3 x 14.99= 44.97

Altogether equals  133.35

400-133.35= 266.65

Answer:

$72.00

Step-by-step explanation:

Answer:

$72

Step-by-step explanation:

I hope this helps!

Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

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Answer:

Both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180

First we collect like terms

5x+2x-5+10=180

Add them up

7x+5=180

Move the constant to the right

7x=180-5

7x=175

7x/7=175/7

x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5

5(25)-5

125-5

120

So angle one is 120 degrees.

2x+10

2(25)+10

50+10

60

So angle two is 60 degrees.

Now to check,

120+60=180

Step-by-step explanation:

Answer:

(From left to right) 2  5  8

Step-by-step explanation:

1. Find the gap (between the first and last terms) 11 - (-1) = 12

2. Divide by the number of times the linear term is added: 12/4=3

3. Use the common difference to find the missing values.

Answer:

Step-by-step explanation:

it is b

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Answer:

The total answer should be 38 on the top

Step-by-step explanation:

a) So the first partial quotient would be equal to 30 as 31 x 30 = 930

b) Second partial quotient would be 8 as 31 x 8 = 248

Answer:

0

38

I hope it's help byeeee

Answer:kbef;eohrjkvoubwe

cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?

A.

Kendall might be determined to be insane and not qualified to testify.

B.

The evidence in Kendall’s case is inconclusive and doesn’t prove anything.

C.

Kendall is an expert witness who has testified many times before.

D.

The police think it will hurt their case if Kendall chooses to testify.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc length= \(\frac{interior angle}{360} 2\pi r\)

Answer:

Step-by-step explanation:

y = -1(x + 2)(x - 3)(x - 3)(x + 0)(x + 0)(x + 1)(x + 1)(x + 1)

The 8 degree polynomial for the given roots can be written as  p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

The factor theorem states that for a polynomial p(x) if there exists a real number a such that p(a) = 0, then (x - a) is one of the factors of p(x).

The roots of the polynomial are given as follows,

Number of roots at -2 = 1

Number of roots at 3 = 2

Number of roots at 0 = 2

And, number of roots at -1 = 3.

Now, the polynomial can be written using factor theorem as,

p(x) = x²(x + 2)(x - 3)²(x + 1)³

      = x²(x + 2)(x²- 6x + 9)(x³ + 3x² + 3x + 1)

      = x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x²

Hence, the polynomial for given roots can be written as p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

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Answer:

x ≈ 0.6385

Step-by-step explanation:

using the rule of logarithms

log \(x^{n}\) = nlog x

then

\(7^{2x}\) = 12 ( take ln of both sides )

ln \(7^{2x}\) = ln12

2x ln7 = ln12 ( divide both sides by 2ln7 )

x = \(\frac{ln12}{2ln7}\) ≈ 0.6385 ( to the nearest ten thousandth )

Answer:

12 cm

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(4+x) * 4 = 8^2

Distribute

16+4x = 64

Subtract 16

4x =48

Divide by 4

4x/4 = 48/4

x = 12

Answer:

Step-by-step explanation:

12 cm

a. 1

b. -1

?

90

10

c. 0

d. -2

Answer:

Part A 1 solution

Part B 1,4

Answer:

Part A : It has one solution because the lines intersect at one point

Part B : The solution is the points where the lines intersect

Which is (3,4)

The velocity function is: \(v(t) = v_i(t) + v_j(t) = i + 7t*j\)

What is the kinematic equation?

The kinematic equation is a set of equations that relate the motion of an object to its velocity, acceleration, time, and displacement.

Given the acceleration a(t) = 7j, we can integrate it with respect to time to obtain the velocity function v(t). Since the acceleration is constant, we can use the basic kinematic equation:

v(t) = v(0) + a*t

where v(0) is the initial velocity and a is the constant acceleration. In this case, v(0) = i, which means that the initial velocity is in the i-direction. Since there is no acceleration in the i-direction, the velocity in that direction remains constant:

\(v_i(t) = i\)

In the j-direction, the acceleration is constant and equal to 7, so we can integrate to obtain the velocity in that direction:

\(a_j = 7\)

\(v_j(t) = v_j(0) + a_jt = 0 + 7t = 7tj\)

Therefore, the velocity function is: \(v(t) = v_i(t) + v_j(t) = i + 7t*j\)

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The equation in terms of t that models the situation is given by

\(8192(1+\frac{0.01}{12} )^{12t} = 25710\).

We know that the interest on a loan or deposit that is accrued on both the initial principal and the total interest from prior periods is known as compound interest and it can be calculated as

\(A = P(1+\frac{r}{n})^{nt}\),

where P is the initial principal, r is the rate of interest, n is the number of times interest was charged for each time period, t is the amount of time that has passed and A is the final amount.

Here, P = 8192, r = 10% = 10/100 = 0.01, n = 12 and A = 25,710

So, we can write

\(8192(1+\frac{0.01}{12} )^{12t} = 25710\)

Therefore the required equation is

\(8192(1+\frac{0.01}{12} )^{12t} = 25710\)

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