A line can intersect a parabola in 0,1 , or 2 points. Find the point(s) of intersection, if any, between each parabola and line with the given equations. y=-(x+1)^{2}, y=-x

The researchers use inferential statistics.

Inferential statistics uses measurement from a sample, comparing groups and making generalizations about the large population. Inferential statistics are based on a test statistic calculated based on a formula. The test statistic along with degrees of freedom to determine the difference between the study population. With inferential statistics, the researcher will draw conclusions from extrapolations.  

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Answer:

Your answer would be 8.

Step-by-step explanation:

3 + 2 = 5

5 - 1 = 4

4 + 4 = 8

Answer:

y=720

Step-by-step explanation:

Multiply both sides of the equation by −15.

−675+1y=45

Add 675 to both sides.

1y=45+675

1y=720

--   -----

1      1

y=720

The area A of the region between the graph of f and the x-axis on [-1, 1] is 1/2.

To find the area A of the region between the graph of f and the x-axis on [-1, 1], we need to evaluate the definite integral of f(x) with respect to x over the interval [-1, 1].

Since f(x) is defined differently for x < 0 and x ≥ 0, we split the integral into two parts:

For x < 0: ∫[-1, 0] -x dx = [-x^2/2] from -1 to 0 = 0 - (-1/2) = 1/2.

For x ≥ 0: ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3 - 0 = 1/3.

Using the Addition Property, we add the two parts together: A = 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

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The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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The next three days of the pattern would be 15 cupcakes, 17 cupcakes, and 19 cupcakes.

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

There were 6 cupcakes two days ago and 13 yesterday.

Adding a fixed number of cupcakes each day: One simple way to continue the pattern is to add a fixed number of cupcakes each day.

For example, if you add 2 cupcakes every day, the next three days of the pattern would be 15 cupcakes, 17 cupcakes, and 19 cupcakes.

Thus, the next three days of the pattern would be 15 cupcakes, 17 cupcakes, and 19 cupcakes.

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Answer:

0.5

Step-by-step explanation:

If the 30 is in degrees, then the answer is 1/2 or 0.5. If the 30 is in radians, then your answer is -1.0.

Answer:

x = \( \boxed{\dfrac{1}{2}} \) units

[As a fraction]

x = \( \boxed{0.5} \) units

[As a decimal]

The constant rate of change and initial value for the given graph are 40 and 20 respectively. the initial value might represent the fixed cost of the soil.

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given problem can be solved as follows,

(a) The graph given is a straight line that passes through (0, 40) and (10, 240).

The constant rate of change is equivalent to the the slope of the line given as,

⇒ (240 - 40)/(10 - 0) = 20

(b) The initial value of the graph is given as the y-intercept of the line.

Which is given as 40.

It might represent the fixed cost.

Hence, the constant rate of change is given as 40 and the initial value is 20 which might represent the fixed cost.

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The missing graph is attached here.

Answer:

Step-by-step explanation:

13. Nine days ago, the gas tank on Sue's car was filled with 24 gallons of gasoline. Today there are 6 gallons of gasoline.

a. What integer represents the change of gasoline in the past seven days?

b. What is the change in gasoline in gallons per day (if she used the same amount every day)?

Gasoline difference = 24 - 6 gallons

= 18 gallons

9 days = 6 gallons

1 day = x gallons

=

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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To find the number of days it will take for Juliana's investment to grow, we can use the formula for simple interest

I = P * r * t.

I = interest earned
P = principal amount (initial investment)
r = interest rate per year (in decimal form)
t = time in years In this case,

Juliana's principal amount (P) is $3,300, the interest rate (r) is 6.25% or 0.0625, and she wants to reach $3,450. We need to solve for t. $3,450 = $3,300 * 0.0625 * t Divide both sides of the equation by ($3,300 * 0.0625) to isolate t:
t = $3,450 / ($3,300 * 0.0625)
t = 17 So it will take Juliana approximately 17 days for her investment to grow to $3,450.

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Answer:

2:6

Step-by-step explanation:

ℎ ℎ ℎ ℎ ℎ 2

6

The option that could be the sides of a Right Triangle is 2.5 cm, 6.5 cm, 6 cm   , the correct option is (a) .

In the question ,

it is given that ,

four options are given that have the three sides of the triangle ,

we have to select the sides that forms a right triangle .

If the sides form a right triangle , then

square of the longest side is equal to square of the other two sides .

In option (a) the  sides are given as 2.5 cm, 6.5 cm, 6 cm .

So ,

(6.5)² = 6² + (2.5)²

42.25 = 42.25

Since LHS = RHS ,

So , Yes , the sides given in option (a) forms a right triangle .

Therefore , the correct option is (a) .

The given question is incomplete , the complete question is

Which could be the sides of a right triangle ?

(a) 2.5 cm, 6.5 cm, 6 cm

(b) 2 cm, 2 cm, 5 cm

(c) 1.5 cm, 2.5 cm, 4 cm

(d) 2 cm, 3 cm, 5 cm

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An expression is defined as a set of numbers, variables, and mathematical operations. The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The two trinomial whose sum will get 5x²+9x+3, therefore, the trinomial will be,

Trinomial A = 3x²+5x+2

Trinomial B = 2x² + 4x + 1

Hence, The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.

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First write the equation in slope-intercept form which is more commonly known as y = mx + b form where the m or the coefficient of the x term represents the slope of the b or the constant term represents the y-intercept.

Subtract 2x from both sides to get y = -2x - 4.

I put the x term first because that's how it is in y = mx + b form.

Now we can see that the b or the constant term is -4.

We can write this as the ordered pair (0, -4).

Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.

Answer:

1/2 , .5 , 50%

Step-by-step explanation:

Answer:

I think the answer is option c

Step-by-step explanation:

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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Answer:

27

Step-by-step explanation:

Since it is addition to make the expression a perfect square, it would not be as direct

√9577 = 97.86214794

we round off to the nearest whole number, since we need a perfect square number

therefore it would be 98

98² = 9604, the perfect square number we'll get after adding to 9577

therefore amount needed to add= 9604-9577= 27

Answer:

The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.

$8 .   YES

$9 .    HELL NO

$11 .   DEFINITLY NOT

$13 .  GET OUTTA HERE

$14 .   MMM YES

Step-by-step explanation:

Answer:

A and E or 8, 14

Step-by-step explanation:

Answer:

Length: 120cm, Width: 72cm

Step-by-step explanation:

Let x = length

Let 3x/5 = width

2x+2(3x/5)=384

2x+(6x/5)=384

16x/5=384

16x=1920

x=120cm

Substitute 120 for x in width

360/5 = width

width = 72cm

Answer:

Help me with this please

Answer:

g(x)=1/x+6 -8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remember :the orthocenter of  a triangle is the point of concurrency of the 3 altitudes.

\(\large \text{If an orthocenter lies inside of a triangle, then the triangle must be}\ :\\\\\large isosceles. \\\\\large obtuse. \\\\\large right. \\\\\large acute \checkmark\)

If an orthocenter lies inside of a triangle, then the triangle must be acute.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Orthocenter of a triangle is the intersection of any two of three altitudes of a triangle.

The third altitude usually pass through the point of the first two altitudes.

When the orthocenter lies inside a triangle, the angles formed by the intersection of the three altitudes is less than 90 degrees.

An acute triangle is a type of triangle whose angles are less than 90 degrees.

Hence, If an orthocenter lies inside of a triangle, then the triangle must be acute.

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Answer:

∠RSU is equal to 39

Step-by-step explanation:

∠RST = 90.

So, 90 - 51 = 39

So ∠RSU = 39

Hope this helps!!

Answer:

39°

Step-by-step explanation:

I hope this helps!

Answer:

Mean Of Students Who Studied: 92.5

Absolute Deviation: 5.2

Answer: 100

Step-by-step explanation: