In which quadrant is the point ( - 3 , -5) ?

Answer:

1st one is b.  2nd one is A

Step-by-step explanation:

i did the quiz

Answer:

Slope: 10

Y-intercept: +9

Step-by-step explanation:

An equation written in slope-intercept form is y=mx+b. "m" is your slope and b is your y-intercept.

The coordinates in the solution to the systems of inequalities is (12, 1)

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

y > -4x + 6

y > 1/3x - 7

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (12, 1)

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Answer:

11/24 is how far off they are from each other. I dont know if it is asking something else though.

Step-by-step explanation:

5/8 - 1/6 =

first off, if you multiply the top and bottom of any fraction by the same thing, it will be equal to the originial fraciton. Based on that, and the fact that you needd to have the same denominator, you just multiply the other fraction by the denominator of the first one.

so it becomes:

30/48 - 8/48

which is 22/48 which simplifies to 11/24.

The probability of getting at least 6 heads is3/256 or 0.0117

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.

Given that,

A fair coin is tossed = 8 time.

We have to find the probability of getting at least 6 heads.

Since, the probability of getting head, when one coin is tossed = 1/2

And the probability of getting tale = 1/2  

The probability of getting head at least  6 times when coin is tossed 8 times can be given as,

The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) =  (1/2)⁸

The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸

The head can come 8 times, then probability = (1/2)⁸

The probability of getting head at least 6 times

= (1/2)⁸ + (1/2)⁸ +  (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117

The probability of getting at least 6 heads is3/256 or 0.0117

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The expression 2log(5) can be rewritten as log(25) in the form log(c), representing the Logarithm to the base 10 that yields the value 25.

The expression 2log(5) in the form log(c), we can use the logarithmic property that states:

nlog(b) = log(b^n)

Applying this property, we can rewrite 2log(5) as:

2log(5) = log(5^2)

Simplifying further, we have:

2log(5) = log(25)

Therefore, the expression 2log(5) can be written in the form log(c) as log(25).

The logarithmic function log(c) represents the exponent to which a given base must be raised to obtain the value c. In this case, log(25) represents the exponent to which the base 10 must be raised to obtain the value 25.

In summary, the expression 2log(5) can be rewritten as log(25) in the form log(c), representing the logarithm to the base 10 that yields the value 25.

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Answer:

L = 10, W = 6

Step-by-step explanation:

(x-2)(x+2) = 60

\(x^{2}\) - \(2^{2}\) = 60

\(x^{2}\) = 60 + 4 = 64

x = \(\sqrt{64}\) = 8 or -8

-8 rejected

thus length is 8 + 2 = 10, width is 8-2=6

The length is 10 units and width is 6 units.

Length = x+2

Width = x-2

Area = 60

Area = Length × Width

Therefore, (x+2)(x-2) = 60

x²-2x+2x - 4 = 60

Collect like terms

x² = 60+4.

x² = 64.

Therefore, in order to get the value of x, we'll find the square root of 64

x² = 64.

x = ✓64

x = 8

Length =  = x+2 = 8+2 = 10

Width = x-2 = 8-2 = 6

In conclusion, the length is 10 units and width is 6 units.

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Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

The intervals of each behavior of the function are given as follows:

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Answer:

what area

Step-by-step explanation:

you should describe some side

The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.

now the given functions are,

f(x) = √(2x + 2) and

g(x) = (x^2 -2)/2

Now,

f{g(x)} = f{(x^2 -2)/2}

         = √(2(x^2 -2)/2 + 2)

         = √ x^2 -2 + 2

f{g(x)} = √ x^2

f{g(x)} =  x

Now,

g{f(x)} = g{ √(2x + 2)}

         = (√(2x + 2)^2 -2)/2

         = (2x + 2) -2 /2

         = 2x/2

f{g(x)} = x

Here we see that ,

f{g(x)} = g{f(x)}

Hence f and g are not inverses.

∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

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They have different y-intercepts but the same end behavior. Thus, option A is correct.

A step functiοn is  mathematical functiοn that takes οn finite number οf cοnstant values οver intervals οf its dοmain. It is alsο knοwn as staircase functiοn οr  piecewise cοnstant functiοn. The cοnstant values that  functiοn takes οn are οften referred tο as  "steps" οf the functiοn.

Tο graph the step functiοn, yοu wοuld start by drawing a cοοrdinate plane with the hοrizοntal axis ranging frοm -5 tο 5 and the vertical axis ranging frοm -2 tο 2. Then, yοu wοuld plοt the pοints (-5,-1), (-4,-1), (-3,0), (-2,1), (-1,1), (0,0), (1,1), (2,-1), (3,-1), (4,0), and (5,1) οn the graph.

They have different y-intercepts but the same end behavior.

They have different y-intercepts because function f(x) is 4, while the y-intercept on graph is 6

But they have the same end behavior at 2.

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Complete question:

Function g is represented by the equation.

\(\rm g(x) = 4 (\frac14)^x + 2\)

Which statement correctly compares the two functions?

A. they have different Y-intercepts but the same end behavior

B. they have the same Y-intercept and the same end behavior

C. they have the same Y-intercept but different end behavior

D. they have different Y-intercepts and different end behavior

ABC=50

DCE=65

DEF= I think 115

I hope that helps I would appreciate brainliest if possible :)

Answer:

Strategies that Frankie should consider:

1.) What he needs vs what he wants (does Frankie need new shoes?)

2.) Opportunity cost (savings Frankie would have to give up if he buys new shoes)

3.) Short-term and long-term goals (Does Frankie needs shoes now, or can he wait?)

Frankie should think about a number of options before purchasing a new pair of shoes. He should first consider whether he actually needs or wants these shoes. He should then think about opportunity cost. How else could he have used that money if he had not purchased the shoes? Could he have utilized his resources more effectively? He must also think about the issue of setting goals. He needs to decide if this is a task for the present or the future.

Also I dont understand how this is math

Answer:

2 units

Step-by-step explanation:

vertical distance will be the magnitude of the difference in the 'y' coordinates

| -.8 - 1.2| = 2 units

Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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Answer:

Step-by-step explanation:

a. x is negative: x < 0

b. y is nonnegative: y ≥ 0

c. q is less than or equal to π: q ≤ π

Answer:

a.

2. x < 0

b.

2. y ≥ 0

c.

5. q ≤ π

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.

b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.

c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.

The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

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The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

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

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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The slope of the line is 7/9

It is important to note that the equation of a line is represented as;

y = mx + c

Where;

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Now, let's substitute the values into the formula from the points given we have;

Slope, m =1 -(-6)/ -3 - (-6)

expand the bracket

Slope, m = 1 + 6/ 3 + 6

add the values

Slope, m = 7/9

Hence, the value is 7/9

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Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

The area of the triangle which is formed as described is; 60.

According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).

It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.

Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.

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Given the building layout for Store A, Store B, Store C, and Store D, the portion of the shared $7,500 maintenance costs that should be apportioned to Store C is $937.50.

Proportion refers to the ratio of a value or quantity contained in another.

Proportions are fractional values depicted as decimals, ratios, percentages, or fractions.

Store          Building   Proportions                        Maintenance Costs

                  Layouts      (%)

Store A    2,500 ft²   50% (2,500/5,000 x 100)   $3,750 ($7,500 x 50%)

Store B     1,250 ft²   25% (1,250/5,000 x 100)    $1,875 ($7,500 x 25%)

Store C       625 ft²    12.5% (625/5,000 x 100)    $937.50 ($7,500 x 12.5%)

Store D       625 ft²    12.5% (625/5,000 x 100)    $937.50 ($7,500 x 12.5%)

Total        5,000 ft²                                               $7,500

Thus, since Store C occupies only 12.5% of the building layout, its share of the maintenance costs is $937.50.

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Answer:

A Mixed number is 8 1/3

A Improper Fraction is 25/3

Step-by-step explanation:

Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

The area of a right triangle with a height of 8 yards and a base of 17 yards is 136 square yards.

The area of a right triangle with a height of 8 yards and a base of 17 yards can use the formula for the area of a triangle:

Area = (base x height) / 2

Substituting the given values into the formula get:

Area = (17 x 8) / 2

Area = 136 square yards

The area of the right triangle is 136 yd².

To understand why this formula works can visualize the right triangle as half of a rectangle.

The height of the triangle is one side of the rectangle and the base of the triangle is the adjacent side of the other half of the rectangle.

The area of the rectangle is the product of its height and base is twice the area of the right triangle.

The product of the height and base by 2 to get the area of the right triangle.

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The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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