please help me complete this

Answer:

-4

Step-by-step explanation:

The term f(-1) means function of -1. f(x) means the same thing as y. To find f(x) given a linear graph, just put your finger on x=-1, and trace your finger up or down until you reach the line. See what y-value it has (count the boxes from the origin).

Based on the graph Given The value of the function at x = -1 is 0.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

given a graph of the linear equation

if we consider each block a unit block then we can say that y-intercept of the line is -1.

As there are not enough data to calculate the Equation of the line

But we can say from the graph the value of the function at x equals -1.

Therefore, The value of Function f(-1) is 0.

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Answer:

-3

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( -3 -6)/(5-2)

   = -9/3

   -3

Answer: m = -3

Step-by-step explanation: To get from (2, 3) to to (5, -3), we must

first go down 9 units so our rise is -9 and run 3 units to the right.

So our slope or rise over run is -9/3 or -3.

The variable that's used to represent slope is m.

So here, we would say that m = -3.

Let Sarah have "M" number of sweets and Henry have "N" number of sweets.

• Sarah and Henry share some sweets in the ratio 5:6.

According to question,

\Rightarrow\:\dfrac{M}{N}\:=\:\dfrac{5}{6}⇒

N

M

=

6

5

______ (eq 1)

\Rightarrow\:M\:=\:\dfrac{5N}{6}⇒M=

6

5N

_____ (eq 2)

• Sarah eats 24 of her sweets and the ratio of sweets left becomes 1:2.

According to question,

\Rightarrow\:\dfrac{M\:-\:16}{N}\:=\:\dfrac{1}{2}⇒

N

M−16

=

2

1

Cross multiply them

\Rightarrow\:2(M\:-\:16)\:=\:1(N)⇒2(M−16)=1(N)

\Rightarrow\:2M\:-\:30\:=\:N⇒2M−30=N

\Rightarrow\:2 \bigg(\dfrac{5M}{6} \bigg)\:-\:30\:=\:N⇒2(

6

5M

)−30=N

\Rightarrow\:\dfrac{5M}{3}\:-\:30\:=\:N⇒

3

5M

−30=N

\Rightarrow\:\dfrac{5M\:-\:90}{3}\:=\:N⇒

3

5M−90

=N

\Rightarrow\:5M\:-\:90\:=\:3N⇒5M−90=3N

\Rightarrow\:5M\:-\:3M\:=\:90⇒5M−3M=90

\Rightarrow\:2M\:=\:90⇒2M=90

\Rightarrow\:M\:=\:45⇒M=45

Put value of M in (eq 2)

\Rightarrow\:45\:=\:\dfrac{5N}{6}⇒45=

6

5N

Cross multiply them

\Rightarrow\:45(6)\:=\:5N⇒45(6)=5N

\Rightarrow\:270\:=\:5N⇒270=5N

\Rightarrow\:N\:=\:54⇒N=54

Henry have 54 sweets.

☆ Verification :

From above calculations we have M = 45 and N = 54

Put value of M and N in (eq 1)

\Rightarrow\:\dfrac{45}{54}\:=\:\dfrac{5}{6}⇒

54

45

=

6

5

\Rightarrow\:\dfrac{5}{6}\:=\:\dfrac{5}{6}⇒

6

5

=

6

5

Answers: 6/5 is the answere

Answer:

1/3

Step-by-step explanation:

Answer:

D. [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

If you multiply 27, 21 and 36 by [tex]\frac{1}{3}[/tex], you'll get the same answers as the smaller triangle

Answer:

14

Step-by-step explanation:

Answer:

14 U could have just look that up

Step-by-step explanation:

15. The solution to the equation √(2x + 5) = √(3x - 1) is x = 4.
16. The solution to the equation √(5x - 4) - 6 = 0 is x = 10.


15. To solve the equation √(2x + 5) = √(3x - 1), we start by squaring both sides of the equation to eliminate the square roots. This gives us 2x + 5 = 3x - 1. Simplifying further, we get x = 6. However, we need to check for extraneous solutions. Plugging x = 6 back into the original equation, we find that both sides are equal. Thus, the solution is x = 4.

16. To solve the equation √(5x - 4) - 6 = 0, we first isolate the square root term by adding 6 to both sides: √(5x - 4) = 6. Squaring both sides, we get 5x - 4 = 36. Solving for x, we find x = 8. However, we need to check for extraneous solutions. Plugging x = 8 back into the original equation, we find that it does not satisfy the equation. Therefore, there are no valid solutions.
In summary, the solution to equation 15 is x = 4, and equation 16 has no valid solutions.

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By constructing such a search problem and using the provided heuristic function, we can ensure that |h(n) - h*(n)| ≤ O(log h*(n)) while A* expands all nodes of depth less than d in the worst case.

To construct a search problem that satisfies the given conditions, we need to ensure that the heuristic function is accurate but doesn't reduce the search time in the worst case. Here's an example:

Define a search problem:

The state space consists of nodes at different depths.

Each node has multiple successor nodes leading to deeper levels.

There is a goal node at depth d.

Heuristic function:

Let's define the heuristic function h(n) as follows:

For nodes at depth less than d, h(n) = d - depth(n).

For the goal node at depth d, h*(n) = 0.

Let's analyze this example:

Accuracy: The heuristic function h(n) is accurate because it assigns a value of zero to the goal node and decreases linearly with the depth of non-goal nodes. This means that |h(n) - h*(n)| will always be equal to h(n) for any node n.

Time complexity: The heuristic function doesn't reduce the search time in the worst case. A* algorithm expands nodes based on their f(n) values, where f(n) = g(n) + h(n). In this case, g(n) represents the cost of reaching node n, and h(n) is our heuristic function. Since the heuristic function h(n) increases linearly with the depth of non-goal nodes, the total f(n) value also increases with depth. Therefore, all nodes of depth less than d will be expanded before reaching the goal node at depth d.

In summary, by constructing such a search problem and using the provided heuristic function, we can ensure that |h(n) - h*(n)| ≤ O(log h*(n)) while A* expands all nodes of depth less than d in the worst case.

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The value of x is approximately 11.167.

To solve the equation x = a - b * y + (y + z) / (c * a + b * y) for x, we can substitute the given values for a, b, c, y, and z and simplify the equation.

Given:

a = 6, b = 4, c = 4, y = 7, z = 1

Substitute the values into the equation:

x = 6 - 4 * 7 + (7 + 1) / (4 * 6 + 4 * 7)

Simplify the equation using the order of operations (PEMDAS):

x = 6 - 28 + 8 / (24 + 28)

x = 6 - 28 + 8 / 52

x = 6 - 28 + 0.154

Combine like terms:

x = -22 + 0.154

Evaluate the expression:

x = -21.846

Therefore, the value of x is approximately -21.846 (rounded to three decimal places).

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Answer:

x=40°, y=43°, and z=97°

Step-by-step explanation:

D=B, so both are 97

360-97-97=166

166÷2=83

y is alternate interior to 43, so y is also 43

83-43=40

So x=40, y=43, and z=97

Answer: 37/2

Step-by-step explanation:

Answer:

37/2

Step-by-step explanation:

18×2+1

=37

Answer:

zero

Step-by-step explanation:

There is no change in slope so it's zero

hope this helps!

Answer:

700,000

Step-by-step explanation:

The integer number 703,937 rounded to the ten thousand's place will be 700,000.

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The integer number is given below.

⇒ 703,937

Round the number 703,937 nearest ten thousand place.

If a thousand's place of the integer number is more than 5, then the ten thousand's place of the integer number will be increased by one.

In the thousand's place of the integer number is 3, then the number 0 will remain 0.

The integer number 703,937 rounded to the ten thousand's place will be 700,000.

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Answer:

4x-2

Step-by-step explanation:

Rearrange terms

Distribute

Subtract the numbers

Combine like terms

Answer:

y = 2.50x + 10

Step-by-step explanation:

Answer:

y = 2.50x + 10

Answer:

The length is 91 meters

Step-by-step explanation:

The perimeter formula is 2W · 2L = 314

We know the width is 66 m, so we can then say:

132 · 2L = 314

-132          -132

2L = 182

L = 91

Hope this helped!

√14 = 3.74165738677

Explanation:

√14

Prime factor 14 =√2×7

Both 2 and 7

are prime numbers.

√14

is already simplified.

Using a calculator,

√14 = 3.74165738677

Answer:

C

Step-by-step explanation:

Where, if at all possible,

A

,

B

, and

C

are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

Answer:

24/7

hope this helps you

Answer:

24960 dollars per year

Step-by-step explanation:

(450 + 30) x 52 ( weeks in a year)

Answer:

Step-by-step explanation:

1. $450+$30 = $480

2. $480 x 50(weeks) = $24,000

Answer:

The relative speed of the passing car is 13 miles per hour.

Step-by-step explanation:

[tex]v = \frac{x}{t} \\ v = 13 \frac{mile}{hours} \\ t = 1 \: min \: = \frac{1}{60} \: hours \\ 13 = \frac{x}{ \frac{1}{60} } \\ 13 = \frac{60 \: x}{1} \\ x = \frac{13}{60} miles \: \\ and \: we \: are \: done.[/tex]

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️.

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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Answer: B: triangle ABC and triangle MNO

the second one is C: triangle JLK and triangle PQR

Step-by-step explanation: Plato

AABC and AMNO can be shown to be congruent by a sequence of reflections and translations.

A vertex (plural: vertices) is a point in geometry where two or more straight lines intersect.

Vertices are typically the corners or points where the curve changes direction in two-dimensional shapes such as triangles, rectangles, and circles.

Vertices are the points where the edges of three-dimensional shapes such as cubes, pyramids, and spheres meet. Vertices is the plural of vertex.

AABC and AMNO can be shown to be congruent by a sequence of reflections and translations.

AXYZ can be shown to be congruent by a single rotation.

KL and APQR cannot be shown to be congruent by either a sequence of reflections and translations or a single rotation.

Thus, this can be the answer for the given scenario.

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Answer:

4(x + 3) + 2x and 6(x + 2) are equivalent

Step-by-step explanation:

The best prove why two expressions must be equivalent is,

1. Simplify each expression to its simplest form

2. Show that the simplest form of them are equal

Let us do that with the given expressions

∵ The 1st expression is 4(x + 3) + 2x

→ At first, multiply the bracket (x + 3) by 4

∵ 4(x + 3) = 4(x) + 4(3) = 4x + 12

∴ The 1st expression = 4x + 12 + 2x

→ Add the like terms

∴ 4x + 12 + 2x = (4x + 2x) + 12 = 6x + 12

∴ The 1st expression = 6x + 12

∴ The simplest form of the 1st expression is 6x + 12

∵ The 2nd expression is 6(x + 2)

→ Multiply the bracket (x + 2) by 6

∵ 6(x + 2) = 6(x) + 6(2) = 6x + 12

∴ The 2nd expression = 6x + 12

∴ The simplest form of the 2nd expression is 6x + 12

∵ 6x + 12 = 6x + 12

∴ The simplest form of the two expressions are equal

∴ The expressions are equivalent

∴ 4(x + 3) + 2x and 6(x + 2) are equivalent

Answer:

[tex]4\sqrt{3[/tex] is your answer

Step-by-step explanation:

Answer:

4√3 i

Step-by-step explanation:

The square root of -1 is equal to the imaginary number i. So, we can take out the square root of -1 to have i times the square root of 48. We can prime factorize 48 to get 4 and the square root of 3. That leaves us with 4 times the square root of three times i.

Answer: ITS C (2) trust me my guy

The slope of the function is,

⇒ m = 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The ordered pairs in the table below represent a linear function are,

(2, 5) and (3, 9)

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (9 - 5) / (3 - 2)

m = 4 / 1

m = 4

Thus, The slope of the function is,

⇒ m = 4

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Hello!

- it is rectangular: it has a right angle

- but it is also isosceles: it has two equal sides starting from the right angle

so this triangle is an iscoceles right triangle

The given equation for B(t) is B(t) = -324t + 13732, where t represents the year.

To find the slope of the graph of B, we can observe that the coefficient of t in the equation is -324. Therefore, the slope of the graph is -324.

Interpreting this slope as a rate of change, we can say that the number of banks decreased by 324 banks per year.

To find the y-intercept of the graph of B, we can substitute t = 0 into the equation. B(0) = -324(0) + 13732 = 13732. So, the y-intercept is 13732.

Interpreting the y-intercept, we can say that the y-intercept represents the number of banks in the year 1988.

Therefore, the answers are:

The slope of the graph of B is e. The number of banks increased by 324 banks per year.

The y-intercept of the graph of B is c. The y-intercept is the number of banks in 1988.

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