Quickly Please!
Which equation has the solutions x = StartFraction 5 plus-or-minus 2 StartRoot 7 EndRoot Over 3 EndFraction?
3x2 – 5x + 7 = 0
3x2 – 5x – 1 = 0
3x2 – 10x + 6 = 0
3x2 – 10x – 1 = 0

The function f(x) becomes  \(g(x)=\sqrt{x+5} +2\) after shifting up 2 units and left 5 units.

Vertical shift: A new function g(x)=f(x)+k, where k is a constant, is a vertical shift of the function f(x), given a function f(x). The output values are all altered by k units. The graph will shift to the right if k is positive. If k is negative, the graph will shift downward.

Horizontal shift: A new function g(x)=f(x-h), where h is a constant, is a horizontal shift of the original function f, where f is a function. Graph shifts to the right if h is positive. If h is negative, the graph will shift to the left.

It is given that \(f(x)=\sqrt{x}\).

The graph is shifted up 2 units first.

So, the function becomes \(\sqrt{x} +2\)

Now the function is shifted 5 units to the left.

So, the new function. \(g(x)=\sqrt{x+5} +2\)

So, the function f(x) becomes  \(g(x)=\sqrt{x+5} +2\) after shifting up 2 units and left 5 units.

To know more about shifting of functions:

https://brainly.com/question/27923893

#SPJ10

H, (7, 27)

Take a pair and plug in the x and y, so instead of y=4x-1 you would plug 27 and 7 in for x and y, giving you, 27=4(7)-1. Then you solve and see if it's true. 7 x 4 =28, 28-1 = 27, and 27=27 so that's true.

Then you plug those same numbers in for y=3x+6, so 27=3(7)+6. 7 x 3 = 21, 21 + 6 = 27, so that is also true.

I don't know if this is the way your teacher wants you to do it, but this is how I did it.

Answer:

16

Step-by-step explanation:

12 divided by 3 = 4 and 6*2 = 12

12+4=16

The value of this answer is 16

To solve this expression, we will apply the properties of mathematical operations.

- First, we multiply or divide

- Second, we subtract or add

12/3 + 6 x 2

4 + 6 x 2

4 + 12

16

So, the correct value is 16

Answer:

17%

Step-by-step explanation:

The budgets on food divides by the total income.

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Answer:

89

Step-by-step explanation:

Answer: 89 metres squared

Step-by-step explanation:

large area = 13 x 8 = 104

small area = 5 x 3 = 15

104 - 15 = 89

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

For more such questions on installment visit:

https://brainly.com/question/28330590

#SPJ8

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

To know more about Integral.

https://brainly.com/question/27419605

#SPJ8

The diameter of the bicycle wheel will be 2.82 inches.

The circle is defined as a two-dimensional figure having a fixed point and the number of the points is traced around the curved path at an equal distance from the fixed point. The overall figure is called a circle.

Given that a bicycle wheel makes five rotations. The bicycle travels 32.71 ft.

First, calculate the circumference of the circle,

C = 32.71 / 5

C = 6.542 Inches

The diameter of the circle will be calculated as:-

π x d = 6.542 Inches

d = 6.542 / π

d = 2.82 Inches

Hence, the diameter will be 2.82 inches.

To know more about circle follow

https://brainly.com/question/23633919

#SPJ1

Answer:

x =64

Step-by-step explanation:

The sum of the angles of a triangle is 180

32+84+x = 180

116 +x =180

116+x-116= 180-116

x =64

Answer:

64

Step-by-step explanation:

a triangle is equal to 180°

we have the 2 degrees that makes up a triangle

32+84= 116

we add the two degrees together

subtract 180 by the number you get from add the degrees together and you will find the degree of the third triangle

Answer:

C. 62,500

Explanation:

Week 1: 1 million

For each week going forward, half the number of people saw the movie as did the previous week.

Therefore:

Therefore, the number of people who saw the movie in the fifth week was 62,500.

Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

Learn more about complex number here:

https://brainly.com/question/5564133

#SPJ1

Answer:

8 ft up or 32 ft down depends if she goes above sea level or down sea level

Step-by-step explanation:

if you take the 2 away and subtract 10 from 20 you get 10 then subtract the remaining two

If she whent down you would add 12 + 20  

The probability values are P(30 ≤ Amount ≤ 59) = 0.43, P(Amount ≥ 60 or Amount < 30) = 0.57 and P(Amount ≥ 40) = 0.45

At least $30 but not more than $59

This means that we use the money spent from 30 to 59

So, we have

30 to 59 = 76 + 58 + 67

30 to 59 = 201

Total = 85 + 98 + 201 + 84

Total = 468

Next, we have

P(30 ≤ Amount ≤ 59) = 201/468

P(30 ≤ Amount ≤ 59) = 0.43

At least $60 or less than $30

This means that we use the money spent less than 30 and greater than or equal to 60

So, we have

At least $60 or less than $30 = 84 + 85 + 98

At least $60 or less than $30 = 267

Next, we have

P(Amount ≥ 60 or Amount < 30) = 267/468

P(Amount ≥ 60 or Amount < 30) = 0.57

At least $40

This means that we use the money spent greater than or equal to 40

So, we have

At least $40 = 58 + 67 + 84

At least $40 = 209

Next, we have

P(Amount ≥ 40) = 209/468

P(Amount ≥ 40) = 0.45

Read more about probability at

https://brainly.com/question/24756209

#SPJ1

Answer:

( 4 x 10 y )

Step-by-step explanation:

A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

In the given question, a sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.52 mpa and a sample standard deviation of 0.78 mpa.

We have to calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints.

Sample size: n = 13

Sample mean: x’ = 8.52 mps

Sample standard deviation: s = 0.78 mps

95% lower confidence bound for the true average proportional limit stress of all such joints

Level of Significance (α) = 1-95% = 5% = 0.05

α/2 = 0.025

So the value of t(α/2) = 1.8

The confidence interval = x’± t(α/2)*s/√n

Now putting the value:

The confidence interval = 8.41± (1.8)*(0.78)/√12

The confidence interval = 8.41± (1.8)*(0.226)

The confidence interval = 8.41± 0.4068

The confidence interval = (8.41- 0.4068, 8.41+ 0.4068)

The confidence interval = (8.01, 8.82)

A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

To learn more about confidence interval link is here

brainly.com/question/24131141

#SPJ4

The right question is:

A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.41 mpa and a sample standard deviation of 0.78 mpa.

Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.)

The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given that the selling price of strawberries each pound = $2.50,

The selling price of grapes each pound = $2

The total earning = $160

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,

x = y + 12 and 2.50x + 2y= 160

Solve the equation by substitution method;

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold is 32

the number of pounds of grapes sold is 20.

To know more about equation:

brainly.com/question/12788590

#SPJ1

Answer:

5x=5x-20 or -20=5x-20

Step-by-step explanation:

Answer: 19

Step-by-step explanation: The best way is to set this up with synthetic division (as the attached image).

Hope this helps!

Answer:

A) Construct a two-sample  z -interval for the difference between population proportions.

Answer:

X=6

Step-by-step explanation:

Explanation in the picture

1. Substitute f(x) = -4 into f(x)= x^2 - 12x + 32

Step-by-step explanation:

f(x)=x^2-12x+32

divide both sides by 4

answer -1/4x^2+3x-8

sorry if im wrong lol

The value of the determinants are

D=13

Dx =26

Dy =52

Dz =26

The determinant of a matrix is ​​a scalar value calculated for a given square matrix. Linear algebra deals with the determinant, it is calculated using the elements of a square matrix. It can be thought of as a scaling factor for the matrix transformation. Useful for solving a system of linear equations, calculating the inverse of a matrix, and numerical operations.

Given system is

x+ y-z= 4

3x+4y-3z=16

9x- 3y+4z=14

from the system the determinants become,

D=  1   1  -1

      3  4  -3

      9   -3  4

D= 1(16-9)-1(12+27)-1(-9-36)

   =7-39+45

   13

Dx=4   1  -1

      16  4  -3

      14   -3  4

   =26

Dy=1  4  -1

      3  16  -3

      9   14  4

   =52

Dz=1  1  4

      3  4  16

      9   -3  14

 =26

Hence, D=13, Dx=26, Dy=52, Dz=26

To know more about determinants from the given link.

https://brainly.com/question/24254106

#SPJ1

Answer: C

Step-by-step explanation:

Answer:

The contractor made an error in calculating the unit price of the padded work gloves.

Step-by-step explanation:

To find the unit price of an item, we need to divide the total cost of the item by the number of units purchased. In this case, the contractor purchased 7 dozen pair of padded work gloves, which is equal to 7 x 12 = 84 pair of gloves. Therefore, the unit price of the padded work gloves is $103.32 / 84 pair = $1.23 per pair.

The contractor incorrectly calculated the unit price as $14.76, which is an error of $14.76 - $1.23 = $13.53. This error occurred because the contractor did not correctly take into account the number of units purchased when calculating the unit price.

Hope this helps:)

Answer:

option D is correct.

hope it helps

The value of line RS is 23

From the diagram shown, we have that line PS, line PQ, line QR and line RS form a square.

Note that the sides of a square are equal to each other.

The relationship is represented as;

Line PS = Line PQ = Line QR = Line RS

We have that;

Substitute the expressions

6x - 5 = 9x - 4

Now, collect like terms

6x - 9x = - 4 - 5

Subtract the like terms

-3x = -9

Make 'x' the subject of formula

-3x/-3 = -9/-3

x = 3

Then, RS = 9x - 4 = 9(3) - 4 = 27 - 2 = 23

Hence, the value is 23

Learn more about squares here:

https://brainly.com/question/25092270

#SPJ1

Answer:

2) \(x - y = \frac{2}{3} \)

\( = > x = \frac{2}{3} + y = \frac{2 + 3y}{3} \)

3) \(3x + 2y = 6\)

\( = > 3x = 6 - 2y \)

\( = > x = \frac{6 - 2y}{3} \)

4) \( \frac{1}{4} x + y = 2\)

\( = > y = 2 - \frac{x}{4} = \frac{8 - x}{4} \)

5) \(4x - 3y = - 33\)

\( = > 3y = 4x + 33\)

\( = > y = \frac{4x + 33}{3} \)

Answer:

A) 781.3

Step-by-step explanation:

To find the volume of the cone, you must first find the radius and height of the cone. Which is 7km (radius) and 14km(height).

Next use the formula (Which is in the picture since it's too hard to type out on here)

I also would of explained it but I found it easier just to type it out (In the file attached below)

Finally the answer is 781.3 km

Hope this helps