Find the x- and y-intercept for the given equation: -7x -2y = 14

Answer:

1206

Step-by-step explanation:

Our formula to find the volume: V = 1/3 πr² h

h = 8

r = 12

π · 12² · 8/3

⇅

1206

But within decimals form
1206.37158

The manager of a bank with 50,000 customers commissions a survey to gauge customer views on internet banking, which would incur lower bank fees.

The proportion of interest in internet banking is calculated using the following formula:28% = (interested customers/total customers) x 10028/100 = interested customers/350

Therefore, interested customers = (28/100) x 350

interested customers = 98

Approximately 98 customers expressed their interest in switching to internet banking that would lower their bank fees.

Therefore, the manager can estimate that around 98 customers will consider changing to internet banking that incurs lower bank fees. As there are 50,000 customers in total, the proportion of those who would switch is 98/50,000.

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Answer:

3. A, 62

Step-by-step explanation:

im sorry that i cant answer number 4

Answer:

B) Y=85x

Step-by-step explanation:

The actual rate of change is 75 so you need to find which one(s) have a greater one. The other 2 that are equations have a less rate of change so it is B.

Hope this helps. Pls give brainliest.

Answer:

what is that i dont answering this sorry

Answer:

1st one

Step-by-step explanation:

Answer:

K=24

B=21

Step-by-step explanation:

x+x-5=43

2x=48

x=24

K=24

B=21

Answer:

24

Step-by-step explanation:

So the only way I think would be possible to get the answer is if you divide 43 by 2 (since Bobbie and Kylie are 2 people) then subtract 5 to get the answer?

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

automobile rental agency:

number of station wagons rented

Step 02:

Variance and standard deviation:

Calculation Table:

variance:

s² = 116. 3 / 30 = 3.877

Standard deviation:

The answer is:

variance = 3.877

standard deviation = 1.97

The points of inflection are x = 0, x = -∞, and x = ∞. These three points lie on the vertical line x = 0.

To find the points of inflection, we need to take the second derivative of the function y = (1 + x)/(1 + x²):

y' = (1 - x²)/[(1 + x²)²]
y'' = (-6x)/[(1 + x²)³]

To find the points of inflection, we need to set y'' = 0 and solve for x:

0 = (-6x)/[(1 + x²)³]
0 = -6x

This gives us three possible values for x: x = 0 (where the second derivative changes sign), and x = ±∞ (where the second derivative approaches 0).

To determine which of these points are points of inflection, we need to look at the sign of the second derivative on either side of each point. If the sign changes, then it is a point of inflection. If the sign stays the same, then it is not a point of inflection.

At x = 0, the second derivative changes sign from negative to positive, so this is a point of inflection.

At x = ±∞, the second derivative is always 0, so these are not points of inflection.

Therefore, the points of inflection are x = 0, x = -∞, and x = ∞. These three points lie on the vertical line x = 0.

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Answer:

x≤2

Step-by-step explanation:

The answer to 5x-6≤2+(3x-4)

Happy Halloween!

Answer:

∠ 3 = 140°

Step-by-step explanation:

∠ 4 and ∠ 3 are same- side exterior angles and sum to 180° , then

∠ 3 = 180° - ∠ 4 = 180° - 40° = 140°

Answer:

If your vertex is at the orgin you can't have a point on (6,0)

Step-by-step explanation:

Answer:

y^2=2/3x

Step-by-step explanation:

Since the vertex is at the orgin and the focus is on the right side of the x axis,

the parabola will open right!

(h,k)

it would be a y^2=4px equation

6/4 = 2/3

Just always divde four by the focus

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Answer:

Step-by-step explanation:

4

Answer:

2

Step-by-step explanation:

y2-y1/

x2-x1

3-(-3)/

1--2

6/3=2

Answer:

150%

Step-by-step explanation:

(95 - 38)/38 x 100

57/38 x 100

1.5 x 100 =

150 percentage change

Hope this helps :)

Answer:

1:27

Step-by-step explanation:

I will use solve in terms of pi

Know that Original volume * scale factor cubed = new volume.

The scale factor is 3 and 3^3 is 27,

Therefore the ratio is 1:27

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. The correct option is D.

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

\(L = k \times M\)

where 'k' will be called a scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k²

to get each other corresponding quantities from their similar figures' quantities.

So the area of the first figure = k² × the area of the second figure

Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or

The volume of the first figure = k³ × volume of the second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

Given that the diameter of sphere A is 2 units, it is dilated by a scale factor of 3 to create sphere B. Therefore, the diameter of sphere B is,

Diameter of sphere B = 3 × Diameter of sphere A

                                    = 3 × 2 units

                                    = 6 units

Now, the ratio of diameters of the sphere and the volume of the sphere can be written as,

\((\dfrac{\text{Diameter of sphere A}}{\text{Diameter of sphere B}})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} \\\\\\(\dfrac{2}{6})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}}\\\\\\\dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} = \dfrac{1}{27}\)

Hence, the correct option is D.

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Answer:

11

Step-by-step explanation:

if half of it is 22, then a whole life is 44 days. 1/4 of 44 days is 11 days so its A

Answer:

the answer is A (11 days)

Step-by-step explanation:

Hope this helps you!

Answer:

D. x^2-x-9-12/x-2

Step-by-step explanation:

We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:

    2 |   1   -3   -7    6

       |______2___-2__-18

       | 1   -1   -9  -12

The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.

So, we have:

(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)

Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).

The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

Answer:

(a) 5.61

Step-by-step explanation:

Rearrange from smallest to largest:

☟︎︎︎

5.61 < 16.5 < 51.6 <56.1

Answer:

−1 > x > −3

Step-by-step explanation:

Let's solve your inequality step-by-step.

8<3−5x<18

Answer:

aaaaaaaaa

Step-by-step explanation:

Answer:

It definitly should be c

Step-by-step explanation:

Answer:

45.

Step-by-step explanation:

Given: 3×5x when x = 3.

First write in x:

3×5×3, when two digits, or variables are together, there's always a multiplication sign.

Then calculate:

3×5×3

15×3

= 45

Since y_1(0) = 1, it satisfies the initial condition. However, y_2(0) = 0 does not satisfy the initial condition, as it should be y(0) = 1. Therefore, only y_1(t) is a solution of the initial value problem.

To verify that both y_1(t) = 1 - t and y_2(t) = -t^2/4 are solutions of the initial value problem, we first need to understand what the problem is. An initial value problem is a differential equation that includes an initial condition. In this case, we can assume that the initial condition is y(0) = 1.
Now, let's substitute both y_1(t) and y_2(t) into the differential equation and see if they satisfy the initial condition. The differential equation is not provided, but assuming it is y'(t) = -t/2, we have:
y_1'(t) = -1
y_2'(t) = -t/2
Substituting y_1(t) and y_2(t) into the differential equation gives:
y_1'(t) = -1

= -t/2 (when t = 2)
y_2'(t) = -t/2

= -t/2 (for all t)
Thus, both y_1(t) and y_2(t) satisfy the differential equation. Now, let's check if they satisfy the initial condition.
y_1(0) = 1 - 0

= 1
y_2(0) = -0^2/4

= 0
In conclusion, y_1(t) = 1 - t is the only solution that satisfies the differential equation and initial condition, while y_2(t) = -t^2/4 is not a solution since it does not satisfy the initial condition.

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Answer:

12^5

Step-by-step explanation:

5 + 7 = 12

therefore 12^5 is the same as (5+7)^5

Answer:

\(12^5\)

Step-by-step explanation:

\(5+7=12\\\)

To the fifth power means \(x^5\)

so our number is 12 here making it \(12^5\)

Answer:

8x + 2 and 4x - 6

Step-by-step explanation:

(f + g)(x)

= f(x + g(x)

= 6x - 2 + 2x + 4 ← collect like terms

= 8x + 2

(b)

(f - g)(x)

= f(x) - g(x)

= 6x - 2 - (2x + 4) ← distribute parenthesis by - 1

= 6x - 2 - 2x - 4 ← collect like terms

= 4x - 6

Answer:

-3

Step-by-step explanation:

I think it's-3 because it is the closest to a subtraction answer so sorry if I'm wrong

4. f(x,y) is homogeneous of degree 2.

5. a) f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

4. Show that f(x,y)=\(x^2\)y is homogeneous, and find its degree of homogeneity:

A function is said to be homogeneous of degree k, if it satisfies the condition:

f(tx,ty) = \(t^k\)f(x,y)

We have f(x,y) = \(x^2\)y. Let’s check if it satisfies the above condition:

f(tx,ty) = \((tx)^2(ty) = t^3x^2y = t^2(x^2y\)) = \(t^2\)f(x,y)

Hence f(x,y) is homogeneous of degree 2.

5. Which of the following functions f(x,y) are homothetic? Explain.

(a) f(x,y)=\((xy)^2\)+1

(b) f(x,y)=\(x^2+y^3\)

Let us first understand the meaning of homothetic transformation.

A homothetic transformation is a non-rigid transformation of the Euclidean plane that preserves the direction of the straight lines but not their length. It stretches or shrinks the plane by a constant factor called the dilation.

Let’s now find out whether the given functions are homothetic or not.

(a) f(x,y)=\((xy)^2\)+1

In order to check if f(x,y) is homothetic or not, we need to check if the function satisfies the following condition:

f(x,y) = g(h(x,y))

where g is a strictly monotonic function and h is a homogeneous function with degree 1

We have

f(x,y) = \((xy)^2\)+1

Let’s assume g(x) = x - 1, then g(x+1) = x

Similarly, let’s assume h(x,y) = (xy), then h(tx,ty) = \(t^2\)h(x,y)

Now, we have

g(h(x,y)) = h(x,y) - 1 = (xy) - 1

Thus f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

(b) f(x,y)=\(x^2+y^3\)

We can’t write this function in the form f(x,y) = g(h(x,y)) where h(x,y) is a homogeneous function with degree 1. Hence this function is not homothetic.

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Answer: look at the picture

Step-by-step explanation: Hope this help :D