i need help with math problem

To answer this, we will find the equation of the line that passes through point C and D and check which option is in the same line, this will be the answer.

First, let's find the slope using th coordinates of the points C and D:

Now, we can use point C, for example, to right in the slope-point form:

With this equation, we can input values of x and check is we get the same y.

Alternative A and C have x = 0, so let's check it:

I got y = 3, neither alternative have y = 3, so it isn't A nor C.

B and D have x = 1, let's check it:

We got y = 4, which matches alternative D.

So, the correct alternative is D.

Answer:

the cost per liter of the paint is equal to 24 8/liter

Hope this helps :)

Answer:

6. table:c graph:f

Step-by-step explanation:

sorry i need to run but thats one

(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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The value of k  such that a is singular is ±√(5/2).

If a singular matrix's determinant is 0, it is a square matrix. Specifically, if and only if det A = 0, a square matrix A is unique. We are aware that the formula A-1 = (adj A) / can be used to get the inverse of a matrix A. Here, the denominator contains det A, which is the determinant of A. We are aware that a fraction with a denominator of 0 is not defined. Since det A = 0, A-1 is not defined. In other words, a single matrix's inverse is not defined. That is to say, there isn't a matrix B such that AB = BA = I.

A singular matrix means that the detA should be 0.

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In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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Answer:

($14.37 was the original price)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The following congruence statements are correct AB = PQ, AC = PA, BC = PQ, the correct options are A, B and E.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

\(\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF\)

(|AB| denotes length of line segment AB, and so on for others).

We are given that;

triangle ABC= triangle PQR.

Now,

If triangle ABC is congruent to triangle APQ, then the corresponding sides and angles of the two triangles are equal.

The following congruence statements are not correct:

Angle C is not necessarily equal to angle Q.

Angle R is not necessarily equal to angle P.

Therefore, by the given congruent triangle the answer will be AB = PQ, AC = PA, BC = PQ

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Answer:

B.

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees, and those two angles added to angle 1 would be equal to 180 degrees since they are straight lines.

Answer:

C

Step-by-step explanation:

Supplementary - adds up to 180

Answer:

x = -2

When we multiply a negative number with a positive number the answer is always negative.

Hope it helps:)

Answer:

1/10

Step-by-step explanation:

1/2 divided by 5 = 1/10

Answer:

2 1/2

Step-by-step explanation:

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{47.5\% of 1600}}{\left( \cfrac{47.5}{100} \right)1600}\implies 760~\hfill \underset{ females }{\stackrel{1600~~ - ~~760 }{\text{\LARGE 840}}}\)

Answer:

(m-3)(m-2)

Step-by-step explanation:

Here,

m^2- 5m + 6

=m^2-(3+2)m +6

=m^2 - 3m - 2m +6

=m(m - 3) - 2 (m - 3)

=(m-3)(m-2)

To find the height of the trapezoid, we can use the formula for the area of a trapezoid, which is:

Area = (1/2) × (Base1 + Base2) × Height

In this case, the area (A) is given as 28 sq. ft., Base1 (b1) is 5 ft., and Base2 (b2) is 9 ft. We need to find the height (h).

28 = (1/2) × (5 + 9) × h

First, add the two bases together:

28 = (1/2) × (14) × h

Now, divide both sides of the equation by 7 (the result of multiplying 1/2 by 14) to isolate the height:

28 / 7 = h

h = 4 ft.

The height of the trapezoid is 4 feet.

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Answer:

C

Step-by-step explanation:

y coordinates must be at the numerator, while x coordinates at the denominator

Answer:

i don't know the answer becausr i am in class 8 sorry bro

Answer: 5/9

Step-by-step explanation:

Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

Answer:

29

Step-by-step explanation:

substitute 4 for x into the function so 7x+1 would be (7*4)+1

7*4=28

28+1=29

$7.50

The expected amount paid to the player is $7.50. This is calculated by taking the probability of each outcome multiplied by the amount paid for that outcome, and then summing them all together. The probabilities are as follows:

The expected amount paid is therefore: (0.75 x $5) + (0.0625 x $10) + (0.0039 x $20) + (0.0001 x $30) + (0.00001 x $50) = $7.50

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To simplify a complex fraction expression, first identify the numerator and denominator of each fraction.

A complex fraction is a fraction that contains one or more fractions in the numerator, denominator, or both. This type of fraction requires additional steps to simplify and can often be reduced to a simpler fraction or a whole number. Complex fractions are also known as compound fractions or nested fractions.

Then, factor each fraction into its simplest form by dividing each numerator and denominator by their greatest common factor. Finally, combine the fractions by multiplying the numerators and denominators. This will result in a simplified expression.

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Answer:

13 ( 2 x − 1 )

Step-by-step explanation:

Factor  13  out of  26 x − 13

Answer:

13 ( 2x-1 ) hope this helps !!!!

Step-by-step explanation:

Answer:

433345344 Answer

Step-by-step explanation:

Answer:

16 square feet

Step-by-step explanation:

The apothem of a square is equal to half of the length of one side.

This means that twice the apothem is equal to the length of one side.

2*2 = 4 ft

To get the area I will multiply the two sides (squares have equal sides):

4*4 = 16 ft^2

Applying the formula for the slope of a line, the value of x = 4.

To find the slope of a line, the following formula or equation can be employed:

Slope (m) = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\).

Given the following points, (6, z) and (-3, 5) lies on a line that has a slope of -1/9, to find the value of z, follow the steps below:

Let (6, z) be represented as \((x_1, y_1)\)

Let (-3, 5) be represented as \((x_2, y_2)\).

m = -1/9

Plug in the values:

-1/9 = (5 - z) / (-3 - 6)

-1/9 = (5 - z) / -9

Cross multiply:

-1 × -9 = (5 - z) × 9

9 = 45 - 9z

9 - 45 = -9z

-36 = -9z

Divide both sides by -9:

-36/-9 = -9z/-9

4 = z

z = 4

The value of z is: 4.

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Answer:

question 1: answer is 4

question 2: answer is 1

Step-by-step explanation:

Okay, here we have this:

First let's calculate how much is he earning selling 20 glasses each glass for 10¢:

Actual Earnings=20*10¢=200¢

Now, let's calculate how much will he earn if raises the price to 20¢ and sell the 15 glasses that he is estimating:

Future Earning=15*20¢=300¢

Let's calculate the diference now:

Diference=300¢-200¢=100¢

According with this he will earn 100¢ more if he charges 20¢ per glass instead of 10¢.

Answer:

9 m²

Step-by-step explanation:

4.5 x 4 = 18

18/2 = 9

Answer:

9m

Step-by-step explanation:

4.5*4=18

18/2=9

The volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3

From the question, we are to determine the volume of the box

The volume of a box is given by the formula,

V = l × w × h

Where V is the volume

l is the length

w is the width

h is the height or depth

From the given information,

l = 3/4 inch

w = 1/2 inch

h = 1/4 inch

Thus,

Volume of the box = 3/4 × 1/2 × 1/4

Volume of the box = 3/32 inch³

Hence, the volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3

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