Do the equations y = -6x +4 and y = 4x + 6 have one solution, no solution, or infinitely many solutions

Answer:

C(t) = 20t

Step-by-step explanation:

The graph of C(t) appears to be linear

The y intercept is 0

The slope is 200/10 = 20

y = mx+b  where m is the slope and b is the y intercept

y = 20x+0

y = 20x

C(t) = 20t

Answer:

the answer is c (t) = 20 t

Step-by-step explanation:

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Answer:

1001.

Step-by-step explanation:

1. if B=11*13; h=7, then

2. V=11*13*7=1001.

Answer: 120

Step-by-step explanation:

There are 5 digits that are odd, 1 3 5 7 9

There are 5 possibilities for the first digit, 4 for the second, 3 for the third, and 2 for the last, so there are 5 x 4 x 3 x 2 = 120

The difference in the addition of both fractions is that they have different lowest common multiples.

We want to add the fraction expression given as:

¹/₂ + ¹/₄

Taking the Lowest common multiple of 8, we have:

(4 + 2)/8 = 6/8

However, for the second fraction expression, we have:

¹/₂ + ¹/₃

Taking the lowest common multiple which is 6, we have:

(3 + 2)/6 = 5/6

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Answer:

y = ½x

Step-by-step explanation:

y = ½x

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Answer:

7 1/2

Step-by-step explanation:

Answer:

7 1/2

Step-by-step explanation:

15/2 is 7.5.

7.5 as a fraction is 7 1/2.

So, the answer is 7 1/2.

Answer:

-3m^2 - 24m

Step-by-step explanation:

-3m(m+8)      Distribute

-3m^2 - 24m

The logarithm expression can be simplified to:

In(6x^9)-In(x^2) =7·ln(6x)

There are some logarithm properties we can use here.

log(a) - log(b) = log(a/b)

log(a^n) = n*log(a)

(these obviously also apply to the natural logarithm)

Now let's look at our expression, it says that:

In(6x^9)-In(x^2)

Using the first rule, we can rewrite this as.

In(6x^9)-In(x^2) = ln(6x^9/x^2)

Now solving the quotient in the argument:

ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)

That is the expresison simplified.

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Answer:

7)  Domain:  (-∞, ∞)

    Range:  [-1, ∞)

8)  Domain:  (-∞, ∞)

    Range:  (-∞, ∞)

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

From inspection of the graph, the minimum y-value is y = -1.  

The end behavior of the relation is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the range of the relation is restricted:  [-1, ∞)

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The end behavior of the function is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

Answer: 91 3/8 ft^2

Step-by-step explanation:

i assume is a width of 8 1/2 ft

we have a rectangle and the area is A=L*W

we have 8 1/2 x  10 3/4= 17/2  x 43/4= 731/8= 91 3/8 ft62

The required angle is 24.5°.

Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,

To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.

The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.

In this case, the perpendicular side is 16 and the base is 35.

Let's denote the acute angle as θ.

Using the tangent function, we can set up the equation:

tan(θ) = perpendicular side / base

tan(θ) = 16 / 35

To find the value of θ, we can take the inverse tangent of both sides:

θ = tan⁻¹(16 / 35)

θ = 24.5°

Hence the required angle is 24.5°.

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240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.

Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.

After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.

Since the amount of food remains the same, we can set up the following equation:

\(28,000 = (800 - x) * 50\)

Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:

\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)

By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.

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Answer:

request payment from a person

Step-by-step explanation:

your welcome

9514 1404 393

Answer:

  A, M, N, F

Step-by-step explanation:

I find it easier to look at the graph, rather than mess with the coordinate transformations. Each image point is the same distance from the line of reflection that its pre-image point is. The line joining the two points is perpendicular to the line of reflection.

See attached for the reflected points.

__

The red and turquoise dashed lines are the lines y=x and y=-x, respectively. The same-colored arrows show the reflection of the relevant point.

_____

The transformations of interest are ...

  (x, y) ⇒ (y, x) . . . . reflection over y = x

  (x, y) ⇒ (-x, y) . . . . reflection over y-axis

  (x, y) ⇒ (x, -y) . . . . reflection over x-axis

  (x, y) ⇒ (-y, -x) . . . . reflection over y = -x

Answer:

SA = 62 cm2

Step-by-step explanation:

The surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.

The total surface of the cuboid = 2(LB+BH+HL)

Consider that the length, width, and height of the cuboid are L, B, and H.

The cuboid is given in the question

Which has the length, width, and height of the cuboid are 3 cm, 5 cm, and 2 cm.

The surface area of the cuboid = 2(LB+BH+HL)

Here L = 3 cm, B = 5 cm, and H = 2 cm

Substitute the values in the above formula, and we get

The surface area of the cuboid = 2(3 × 5 + 5 × 2  + 2 × 3)

The surface area of the cuboid = 2(15 + 10 + 6)

The surface area of the cuboid = 2(31)

The surface area of the cuboid = 62 cm²

Thus, the surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.

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The required simplified solution is as follows,
(A) 5x + 5h - 5  (B) 5h  (C) 5x - 5hx -5

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

f(x) = 5x - 5

​(A) f(x+h)
Put x + 5 in place of x in f(x)
f(x + h) = 5 (x + h) - 5
           = 5x + 5h - 5

Sinilarly,

​(B) f(x+h)−f(x)
f(x+h)−f(x) = 5 (x+ h) - 5 - 5x + 5
f(x+h)−f(x) = 5h

​(C) f(x+h)−f(x)h
f(x+h)−f(x)h = 5 (x+ h) - 5 - 5hx + 5h
                  = 5x + 5h - 5 - 5hx + 5h
                  = 5x - 5hx -5

Thus, the required solution has been mentioned above.

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Answer:

Ima be straight up with you im 1 awnser away from getting 50 points but ill find the answer for ya

Step-by-step explanation:

Answer:

give me tha answer please

Answer: segment AM is congruent to segment CM and segment BM is congruent to segment DM is for 1, the triangles one for 2 (I'm not very sure about this one), the angles one for 3 ( this one either). vertical angles are conguent for 4 and 5 is if both pairs of opposite sides are congruent, a quadrilateral is a parallelogram.

Step-by-step explanation:

Answer:

Sara studies longer by 15 minutes.

Step-by-step explanation:

Let's calculate how long Sebastian studies for. From 3:15 - 4:15, there is 1 hour and from 4:15 to 4:45, there are 30 minutes so Sebastian studies for 1 hour and 30 minutes. Now, let's calculate how long Sara studies for. From 4:30 - 5:30, there is 1 hour, from 5:30 - 6:00, there are 30 minutes and from 6:00 - 6:15, there are 15 minutes so Sara studies for 1 hour 45 minutes. This means that Sara studies longer by 45 - 30 = 15 minutes.

The equation to represent this relationship is y = 1500(0.6)^x

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

Initial, a = 1500

Rate = 40%

Since the value of the refrigerator decreases by 40% each year, the value of the refrigerator after x years can be expressed as:

y = 1500(1 - 40%)^x

Evaluate the difference

y = 1500(0.6)^x

Hence, the expression is y = 1500(0.6)^x

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The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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The equation of the ellipse in standard form is (x - 2)² / 16 + (y - 1)² / 25 = 1. (Correct choice: B)

Herein we must determine the equation of the ellipse whose center is at (h, k) = (2, 1), one of its vertices is at (2, - 4) and one of its foci is at (2, - 2). The major axis of the ellipse is parallel to the y-axis. Lastly, the equation of the ellipse in standard form is shown below:

(x - h)² / a² + (y - k)² / b² = 1, b > a

c = √(b² - a²)

Where:

First, determine the distance between center and focus:

(0, c) = (2, 1) - (2, - 2)

(0, c) = (0, 3)

c = 3

Second, determine the length of the major semiaxis:

(0, b) = (2, 1) - (2, - 4)

(0, b) = (0, 5)

b = 5

Third, find the length of the minor semiaxis:

a = √(5² - 3²)

a = 4

Fourth, write the resulting equation of the ellipse:

(x - 2)² / 16 + (y - 1)² / 25 = 1

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Given the below equation;

The step that is needed is to isolate m, i.e move all the terms in m to one side of the equation. So let's go ahead and subtract m from both sides of the equation;

Answer:

22:4949

Step-by-step explanation:

Answer:

There are 12 face cards and 4 aces in a standard deck, so the probability of drawing a face card is 12/52 = 3/13, the probability of drawing an ace is 4/52 = 1/13, and the probability of drawing any other card is 1 - 3/13 - 1/13 = 9/13.

The expected gain from drawing a face card is $13, from drawing an ace is $6, and from drawing any other card is -$3. Therefore, the expected gain from this game is:

(3/13)($13) + (1/13)($6) + (9/13)(-$3) = $0

This means that over many games, on average, you would neither win nor lose any money playing this game.

We have the following:

Evaluate:

The answer is -16