Write an integer for each situation. *Remember that an integer is a whole number that
can be negative, positive, or zero.
a bank deposit of $75

Answer:

b

Step-by-step explanation:

sqrt(b) * sqrt(b)

sqrt(b^2)

b

Given that f(x)=-x^2+6x-1

f(1) = - 1^2 + 6(1) - 1

= -1 + 6 -1

= 4

f(3) = -3^2 + 6(3) - 1

= -9 + 18 -1

= 8

Hence

a. f(1) + f(3) = 4 + 8

= 12

b. f(1) - f(3) = 4 - 8

= -4

28. B or (2,- 2)

...just ask if you want to know how

Answer:

first question is B

second F

third C

fourth pretty sure its C

last C

Step-by-step explanation:

Step-by-step explanation:

16 P 7 = 57 657 600 combos

Answer:

(0,0)

Step-by-step explanation:

9514 1404 393

Answer:

  see below

Step-by-step explanation:

If you put x=0 in the equation, you get ...

  2y = 0

dividing by 2 gives ...

  y = 0

So, you know the point (x, y) = (0, 0) is on the graph.

__

If you solve for y, you have ...

  y = -3/2x

The coefficient -3/2 is the slope of the graph. It tells you "rise/run" is -3/2, so the graph goes down 3 units for each 2 units to the right. From (0, 0), 2 units right and 3 down gets you to the point (x, y) = (2, -3).

With two points, you can graph those and draw the line through them to make the graph you want.

Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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Answer:

The name of the given figure in two different ways are - J⇔U and U⇔J

Answer:

The bottom one should be the answer

Step-by-step explanation:

A simple trick is to count how many units does the x travel from left to right, then count to the point. BTW they are separate numbers. The first one is x and the second one is y.

La longitud de las diagonales del rectángulo con área de 15 centímetros cuadrados se describe con \(d = \frac{\sqrt{x^{2}+225}}{x}\).

El área de rectángulo que mediante la ecuación de área estándar, mientras sus diagonales pueden ser descritas mediante el teorema de Pitágoras, los cuales se describen a continuación:

Área

\(A = x\cdot y\) (1)

Diagonal

\(d = \sqrt{x^{2}+y^{2}}\) (2)

Donde:

Despejamos \(y\) en (1):

\(y = \frac{A}{x}\)

Luego, aplicamos la fórmula a (2) para eliminar la variable:

\(d = \sqrt{x^{2}+\frac{A^{2}}{x^{2}} }\)

Simplificamos la expresión resultante: (\(A = 15\,cm^{2}\)):

\(d = \frac{\sqrt{x^{2}+A^{2}}}{x}\)

\(d = \frac{\sqrt{x^{2}+225}}{x}\)

La longitud de las diagonales del rectángulo con área de 15 centímetros cuadrados se describe con \(d = \frac{\sqrt{x^{2}+225}}{x}\).

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The possible values of the number will be -62/4 or -31/2.

Multiplication of numbers may be defined as the tool or arithmetic operation which can be used to increase the count of a number. For example, if there is a number 4, then in order to increase the number it will be multiplied with some other number like 9. Now, the number will be 4×9 = 36. We are given that the product of -4 with a number gives the answer as 62. Let us assume the number as x and form the equation in accordance with the data given in the question.

-4×(x) = 62

Now, to find x we divide -4 on both the sides and we get

x = -62/4

This number can also be simplified by dividing both numerator and denominator with 2 and we get

x = -31/2.

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Answer:

Can you add a closer photo?

Step-by-step explanation:

im sure i can answer if u do so

Answer:

67

Step-by-step explanation:

Use the triangle angle sum theorem. All interior angles of a triangle sum to 180 degrees. Angle b = 23, angle c = 90 (notice the marking in the triangle), angle a is what we need to find. Set the sum of all three of these equal to 180 to solve for angle a.

23+90+angle a= 180. Combine like terms

113 + angle a = 180. Subtract 113 from both sides.

Angle a = 67

Answer:

67⁰

Step-by-step explanation:

According to the Triangle Sum Theorem, all three angles sum up to 180⁰.

<A + <B + <C = 180⁰

You are given the two angles. To find the third or the missing angle you will use the triangle sum thereom.

<A + <B + <C = 180⁰

90⁰ + 23⁰ + <C = 180⁰

113⁰ + <C = 180⁰

113⁰ - 113⁰ + <C = 180⁰ - 113⁰

<C = 67⁰

Hope this helps, thank you :) !!

The equation of the line in function notation is  

\(y = mx - 3m - 2\)  

Step 1: y - (-2)

To write the equation of the line in function notation, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is a point on the line. In this case, the slope is given as "m," and the point (x1, y1) is (3, -2).

Substituting these values into the equation, we get:

y - (-2) = m(x - 3)

Simplifying the expression in the left-hand side, we get:

y + 2 = m(x - 3)

This is the equation of the line in point-slope form. To write it in function notation, we can solve for y:

y = mx - 3m - 2

This is the equation of the line in function notation. We can use this equation to find the y-value of the line for any given x-value. For example, if we want to find the y-value of the line when x = 5, we can substitute x = 5 into the equation and solve for y:

y = m(5) - 3m - 2 = 2m - 2

So when x = 5, the y-value of the line is 2m - 2.

Question: Andy wrote the equation of a line that has a slope of "m" and passes through the point (3, -2) in function notation. Write the equation of the line in function notation, showing the first step of your work.

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The probability that Liz has two boys given that she has at least one boy who is taller is approximately 0.2841

Let's first consider all possible gender combinations of Liz's two children:

Boy, boy (BB)

Boy, girl (BG)

Girl, boy (GB)

Girl, girl (GG)

We know that Liz has at least one boy, which rules out the GG combination. That leaves us with three possible combinations: BB, BG, and GB.

From the given information, we know that in 76% of families consisting of one son and one daughter, the son is taller than the daughter. This means that in the BB combination, the probability that the taller child is a boy is 1 (since both children are boys), and in the BG and GB combinations, the probability is 0.76 (since there is one boy and one girl, and we know the boy is taller).

So, let's calculate the probability that Liz has two boys (BB) given that she has at least one boy who is taller. We can use Bayes' theorem for this

P(BB | taller child is a boy) = P(taller child is a boy | BB) × P(BB) / P(taller child is a boy)

where P(taller child is a boy | BB) = 1 (as both children are boys), P(BB) = 1/4 (since there are four possible gender combinations), and P(taller child is a boy) = P(taller child is a boy | BB) × P(BB) + P(taller child is a boy | BG) × P(BG) + P(taller child is a boy | GB) × P(GB) = 1 × 1/4 + 0.76 × 1/2 + 0.76 × 1/2 = 0.88.

Substituting these values into Bayes' theorem, we get

P(BB | taller child is a boy) = 1 × 1/4 / 0.88 = 0.2841

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A two-tailed test is a hypothesis test in which the rejection region is option (B) in both tails of the sampling distribution

The hypothesis test is defined as the statistic approach checking the results of a research study support a particular theory when we apply that result to population

A two-tailed test is a hypothesis test that defined in which the critical area of the distribution is two sided, so the sample will be greater than or less than a certain range of values

Therefore, the rejection region of a two-tailed test is a hypothesis test is in both tails of the sampling distribution.

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Answer:

12 ,14 both are in the same line In same way but.one of the.line is ano

The function graph denotes the fact that the daily cost associated with making tennis balls is high if they don't make enough balls and then becomes high again if they make too many balls.

We have,

From the graph of the function.

The x-axis denotes the number of tennis balls manufactured.

The y-axis denotes the daily cost of manufacturing the tennis balls.

Now,

From the graph,

The coordinates can be as follows:

(1, 12) to (7, 4)

This shows that the cost decreased as the number of tennis balls manufactured increased.

And,

The coordinates from (7, 4) to (13, 12).

This shows that the cost increases as the number of tennis balls manufactured increases.

Thus,

The function graph denotes the fact that the daily cost associated with making tennis balls is high if they don't make enough balls and then becomes high again if they make too many balls.

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For the circle , AC and CB are orthogonal

According to the question ,

AB is the diameter of a circle with center O and the C is a point on one

of the two arcs joining A and B

Let AO = -u and OB = u and CO = v

To prove that AC and AB is orthogonal .

We have to show their dot product is zero i.e.  CA . CB = 0

=> CO + CA = -u

=> CA = -v -u

=> CO + CB = -v

=> CB = -v + u

So, the dot product,

CA . CB = (-v -u ) . ( -v +u)

=> v .v + u . v - v . u - u .u

=> |v|² +u . v - u . v - |u|²

=> |v|² - |u|² = 0

Hence , the length of v is same as the length of u

Therefore , AC and AB are orthogonal

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Answer:

y = -3/5x + 1

Step-by-step explanation:

We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and  b = y-intercept.

4 = -5(-3/5) + b

4 = 3 + b

1 = b

With the information we know, we can input the values into the formula once again.

y = -3/5x + 1

Best of Luck

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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Answer:

7/8 desserts he can make

Answer:

Initial Value: 4

ROC: - 4/5

Step-by-step explanation:

I know you're short on time, if you want an explanation, let me know!

Answer:

Step-by-step explanation:

ANSWER

Start with the graph of f(x) = x². Shift it left 1 unit and then shift it up 4 units:

EXPLANATION

The graph of f(x) = x² is

If we shift it 1 unit left:

Then 4 units up:

Answer:

Answer is D.

30

Step-by-step explanation:

all angles add up to 180(applys to triangles)

Since Shay's sibling is 7 years younger than twice her age, Shay is therefore 29 years old.

Mathematicians use the unitary method, also referred to as the "single unit technique," to answer problems involving proportional relationships between two or more quantities. The unitary technique entails determining the value of a single unit or quantity and using that value to calculate the values of other quantities in relation to that unit or quantity. Problems requiring ratios, proportions, percentages, and other related ideas can be solved using this approach.

given

Shay's age will be denoted by the letter S, and her sister's age will be referred to as "Sister".

The first claim informs us of the following:

Sibling = 2S – 7

And based on the second assertion, we can infer that:

Sibling + S = 80

The result of putting the first equation into the second equation is:

S + (2S - 7) = 80

When we simplify this solution, we obtain:

3S - 7 = 80

7 added to both edges gives us:

3S = 87

When we multiply both parts by 3, we get:

S = 29

Since Shay's sibling is 7 years younger than twice her age, Shay is therefore 29 years old.

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Answer:

Cost: "N2800"

Step-by-step explanation:

I'm assuming "N200" is "$200"? But I'll just use it as "N200"

Finding the perimeter:

3+3+4+4=

6+8=

14 metres

Finding the cost:

N200×14=

N2800

Answer:

f(2)+g(3) = 5

Step-by-step explanation:

Given that,

f(x) = x² + 2

g(x) = 2-x

We need to find the value of f(2)+g(3).

f(2) = 2² + 2 = 6

g(3) = 2 – 3 = -1

So,

f(2)+g(3) = 6+(-1)

= 5

Hence, the value of the given expression is 5.

Answer:

the answer is 0004..................

Answer:

20

Step-by-step explanation:

PEMDAS

Parentheses: (4+6)= 10

Division: 50/10=5

Multiplication: 5*4=20