Find the y-intercept for the parabola defined by this equation: y = 2x + x − 1 Separate the values with a comma. Enter the correct answer.​

Answer:

The last one, The Hypotenuse Leg Theorem, or HL Theorem,

Step-by-step explanation:

Answer:

HL theorem

Step-by-step explanation:

If any 2 right angled triangles have same length of hypotenuse then both are congruent by HL theorem

Answer:12or39

Step-by-step explanation:

hope this helps!!

Answer:

4

Step-by-step explanation:

Shown using number line and simple math

Answer:

(27xy +3)/5x^2 +6x

Step-by-step explanation:

((15xy^2 )/ x^2 + 5x + 6 ) × ((2x^2 + 7x + 3) / 5x^2y)

(3y ×(2x+ 7x + 3)) / 5x^2 +6x)

Answer:

m∠FQR = 23°

Step-by-step explanation:

Since m∠KQF = 90°, it's a complementary angle and is equal to 90°

Step 1: Write the equation. Since The whole angle equals 90° add everything together to equal 90°

(3x - 23)° + (2/3x + 3)° = 90

3x - 23 + (2/3)x + 3 = 90

Combine like terms

multiply the denominator by 3. (3 × 3) = 9 + 2 = 11

(11/3)x - 20 = 90

          + 20   +20

(11/3)x = 110

÷(11/3)  ÷(11/3)

x = 30°

Step 2: Find m∠FQR

m∠FQR = ((2/3)x + 3))

(2/3)(30) + 3

20 + 3 = 23

m∠FQR = 23°

I hope this helps!

Answer:

Step-by-step explanation:

(2/3x+3) + (3x-23)=90

(2/3+3)x -20 =90

11/3x =90 + 20

x= 110 * 3/11 =30

FQR = 2/3x+3= 2/3 (30) +3 = 20 +3 =23

Answer:

x = -10

Step-by-step explanation:

Perform the indiated multiplication.  Recalling that 6(1/3) = 2, we get:

2x + 2 = 3x + 12

Combining like terms:

-10 = x

Answer:

x = -10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6 (1/3x + 1/3) = 3 (x + 4)

(6)( \(\frac{1}{3}x\)) + (\(\frac{1}{3}\)) = (3) (x) + (3) (4) (Distribute)

2x + 2 = 3x + 12

Step 2: Subtract 3x from both sides.

2x + 2 − 3x = 3x + 12 − 3x

−x + 2 = 12

Step 3: Subtract 2 from both sides.

−x + 2 − 2 = 12 − 2

−x = 10

Step 4: Divide both sides by -1.

\(\frac{-x}{-1}\)  =  \(\frac{10}{-1}\)

x = -10

Jacks meeting lasted for 160 min or 2 hrs 40 min.

Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.

Given is that jacks meeting stared at 2:45 pm and ended at 5:25 pm.

The time for which the meeting lasted can be written as -

{i} = 2:45 pm

{i + 60 minutes} = 3:45 pm

{i + (2 x 60) minutes} = 4:45 pm

{i + (2 x 60 + 40) minutes} = 5:25 pm

{f} = 5 : 25 pm

The meeting lasted for -

2 x 60 + 40

160 minutes

or

2 hours 40 minutes

Therefore, Jacks meeting lasted for 160 min or 2 hrs 40 min.

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Answer:

Obtuse angles have a measure that is greater than 90 but less than 180 degrees, while acute angles have a measure that is less than 90 but greater than 0.

Step-by-step explanation:

Obtuse angles have a measure that is greater than 90 but less than 180 degrees because 180 degree angle is a straight angle. Any angle that is greater than 181 but less than 360 degrees is known as a reflex angle. Acute angles have a measure that is less than 90 but greater than 0 because anything with a higher of lower degree of measure would be consider a different angle.

The measures of angles 4 and 5 are:

∠5 = 104°

∠4 =76°

On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.

Then we can write the sum:

∠1 + ∠2 = 180°

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 180 - 15

x = 165/5 = 33

the measure of angle 5 is the same one of angle 1 then:

∠5 = (3*33 + 5)° = 104°

And angle 4 is supplementary of angle 1, then:

∠4 + 104° = 180°

∠4 = 180 - 104= 76°

These are the measures

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The system of equations is:

2b + 4.25s = 53.75

b - s = 5  

The number of bagels bought is 12 and the number of sandwiches bought is 7.

2b + 4.25s = 53.75 equation 1

b - s = 5  equation 2

Where:

The elimination method would be used to determine the required values.

Multiply equation 2 by 2

2b - 2s = 10 equation 3

Subtract equation 3 from equation 1 :

6.25s = 43.75

Divide both sides of the equation by 2.25

s = 43.75 / 6.25

s = 7

Substitute for s in equation 1:

2b + 4.25(7) = 53.75

2b + 29.75 = 53.75

2b = 53.75 - 29.75

2b = 24

b = 24 / 2

b = 12

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The quotients of the long division expressions are 6x^2 + 2x - 6, 7x^3 - 4x^2 + 6x + 10 and 7x^3 + x^2 - 5x - 8

Polynomial set up 2

The long division expression is represented as

x + 5 | 6x^3 + 32x^2 + 4x - 21

So, we have the following division process

           6x^2 + 2x - 6

x + 5 | 6x^3 + 32x^2 + 4x - 21

           6x^3 + 30x^2

           --------------------------------

                      2x^2 + 4x - 21

                       2x^2 + 10x

           -------------------------------------

                       -6x - 21                      

                       -6x - 30

------------------------------------------

                                   9

Polynomial set up 3

The long division expression is represented as

2x - 3 | 14x^4 - 29x^3 + 24x^2 + 2x - 29

So, we have the following division process

            7x^3 - 4x^2 + 6x + 10

2x - 3 | 14x^4 - 29x^3 + 24x^2 + 2x - 29

            14x^4 - 21x^3

           --------------------------------

                       -8x^3 + 24x^2 + 2x - 29

                       -8x^3 + 12x^2                        

           -------------------------------------

                        12x^2 + 2x - 29

                        12x^2 - 18x

     ------------------------------------------

                                  20x - 29

                                  20x - 30

     ------------------------------------------

                                               1

Polynomial set up 5

The long division expression is represented as

2x - 1 | 14x^4 - 5x^3 - 11x^2 - 11x + 8

So, we have the following division process

            7x^3 + x^2 - 5x - 8

2x - 1 | 14x^4 - 5x^3 - 11x^2 - 11x + 8

            14x^4 - 7x^3

           --------------------------------

                       2x^3 - 11x^2 - 11x + 8

                       2x^3 - x^2                        

           -------------------------------------

                        -10x^2  - 11x + 8

                        -10x^2 + 5x

     ------------------------------------------

                                  -16x + 8

                                  -16x + 8

     ------------------------------------------

                                               0

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Answer:

x < 7

Step-by-step explanation:

Given

2x - 5 < 9 ( add 5 to both sides )

2x < 14 ( divide both sides by 2 )

x < 7

Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

Answer:

Between 8 and 9.

Step-by-step explanation:

8^2 = 64

9^2 = 81

So square root of 75 is between 8 and 9.

The number √75 is between 8 and 9.

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The number is,

⇒ √75

Now,

Since, The value of √75 = 8.66

And, The number 8.66 is between 8 and 9.

Thus, The number √75 is between 8 and 9.

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The domain and scope of the identity function are the same. Equation for the identity function is  f(x) = x, or y = x.

An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable. A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.

identity function are the same.

Equation for the identity function is

f(x) = x, or y = x.

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The total width of the two tables combined is 11 feet and 3 inches.

We are given two tables, one measuring 5 feet 4 inches in width and another one with the measuring of 6 feet 11 inches in width.

To find the combined width, we need to add these two measurements together.

We add the feet separately and the inches separately, carrying over any excess inches to the feet portion. This will allow us to find the combined width of the two tables in feet and inches.

Firstly, we will add the feet. We have been given 5 feet from the first table and 6 feet from the second table. When we add these two, we get a total of 11 feet.

Next, we add the inches. We have been given 4 inches from the first table and 11 inches from the second table. When we add these two, we get a total of 15 inches.

However, since there are 12 inches in a foot, we have to convert the 15 inches into feet and inches.

We divide 15 by 12. The quotient is 1, which represents 1 foot.

The remainder is 3, which represents 3 inches.

Therefore, the total width of the two tables combined is 11 feet and 3 inches.

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Complete Question

Paj is filling a 9-cubic-inch flower pot with soil from small bags. Each bag of soil contains 2 2/3  cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?

Answer:

\(Number\ of\ Bags = 3\frac{3}{8}\)

Step-by-step explanation:

Given

\(Flower\ Pot = 9 in^3\)

\(Small\ Bag = 2\frac{2}{3} in^3\)

Required

How many bag of soil can fill the flower pot

To solve this,we simply divide the volume of flower pots by the small bags. This is done as follows;

\(Number\ of\ Bags = \frac{Flower\ Pot}{Small\ Bag}\)

\(Number\ of\ Bags = \frac{9 in^3}{2\frac{2}{3} in^3}\)

Convert fraction

\(Number\ of\ Bags= \frac{9 in^3}{\frac{8}{3} in^3}\)

\(Number\ of\ Bags = 9 in^3/\frac{8}{3} in^3\)

\(Number\ of\ Bags = 9 * \frac{3}{8}\)

\(Number\ of\ Bags = \frac{9 * 3}{8}\)

\(Number\ of\ Bags = \frac{27}{8}\)

\(Number\ of\ Bags = 3\frac{3}{8}\)

Hence, the number of bags needed is  \(3\frac{3}{8}\)

Answer:

Total Surface Area Atot = 790.331 cm2

Lateral Surface Area Alat = 611 cm2

Top Surface Area Atop = 89.6657 cm2

Bottom Surface Area Abot = 89.6657 cm2

Step-by-step explanation:

Answer:

1 1/3

Step-by-step explanation:

Firstly, 1 2/3 is converted into an improper fraction being 5/3. Next, 1/5 of 5/3 is one portion of 5 equal portions. You can split 5/3 into five equal portions of 1/3. Therefore, 1/3 cup of honey was used to make the honey glaze. Lastly, that is subtracted from the 1 2/3 to end up with 1 1/3.

The required amount of honey left is given as 1 1/3.

Given that,
Ben wants to try a new honey-glazed salmon recipe. He starts with 1 2/3 cups of honey. He uses 1/5 of it to make the glaze.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

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,
Amount of honey = 1 2/3 = 5 / 3
Amount of honey used is 1/5 times = 1/5 [5 / 3] = 1 / 3
Amount of honey left = 5/3 - 1/3 = 4/3 or 1 1/3

Thus, the required amount of honey left is given as 1 1/3.

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Solution:

Given a table of data;

Where the total hours in 50 hours

The hours spent for jogging is 20 hours.

The sum of angles about a point or in a circle is, 360°

The portion for jogging in degrees is

Substitute into the formula above

Hence, the portion for jogging is 144°

Answer:

24/6=4

48/6= 8

so x=8

Step-by-step explanation:

The correct option is: 1 = ∫∫∫r dz dr dθ

By converting the given expression into an equivalent triple integral in cylindrical coordinates, we obtain:

1 = ∫∫∫r dz dr dθ

This option represents the correct conversion of the integral into cylindrical coordinates. The integral is taken over the region defined by the limits of integration for z, r, and θ, which are not provided in the given question.

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Answer:

x = -7

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The total length of fences needed to surround the parks is 1500 feet. The length is calculated by adding up the lengths of all sides of both parks.

To find the total length of fences needed to surround the parks, we need to add up the lengths of all the sides of both parks.

For park RST, the total length of the fences needed is

RS + ST + RT = 230 + 350 + 230 = 810 ft

For park XYZ, since YX is congruent to XYZ, we can label YX as YZ for simplicity. The total length of the fences needed for park XYZ is

XY + YZ + XZ = YZ + YZ + 230 = 2YZ + 230

To find YZ, we can use the fact that park RST is congruent to park XYZ, so the corresponding sides are equal in length. This means YZ = RT = 230 ft.

Substituting this value, we get

2YZ + 230 = 2(230) + 230 = 690 ft

Therefore, the total length of fences needs to surround two parks with dimensions ARST XYZ and YX YZ is

810 + 690 = 1500 ft.

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--The given question is incomplete, the complete question is given

" The figure shows the dimensions of two city parks, where RST is congruent to XYZ and YX is congruent to XYZ. A city

employee wants to order new fences to surround both parks. What is the total length of the fences

required to surround the parks?

ST is 350 ft., XZ is 230 ft.

The total length of fences needed to surround the parks is ______

feet."--

Answer:

There are 7,725 square feet of grass on the trapezoidal field

Step-by-step explanation:

Here in this question, we are interested in calculating the square feet of grass present on the trapezoidal field.

What this question is actually asking us is to calculate the area of the trapezoid-shaped grass field.

To calculate this area, what we need to do

simply is to use the formula for the area of a trapezoid.

Mathematically, the area of a trapezoid can be calculated using the formula;

Area of trapezoid = 1/2 * (a + b) * h

where a and b refers to the length of the parallel lengths of the trapezoid and h refers to the height of the trapezoid.

From the question;

a, b = 81ft and 125 ft

h = 75 ft

Substituting these values, we have :

Area = 1/2 * (81 + 125) * 75

Area = 1/2 * 206 * 75 = 83 * 75 = 7,725 ft^2

A good choice for u is 7x, and a good choice for dv is e^(4x)dx.To determine the best choices for u and dv, we can apply the integration by parts formula, which states ∫u dv = uv - ∫v du.

In this case, we want to integrate S7xe^(4x)dx.

Let's consider the options provided:

A. u = 7x and dv = e^(4x)dx: This choice is appropriate because the derivative of 7x with respect to x is 7, and integrating e^(4x)dx is relatively straightforward.

B. u = e^(4x) and dv = 7xdx: This choice is not ideal because the derivative of e^(4x) with respect to x is 4e^(4x), making it more complicated to evaluate the integral of 7xdx.

C. u = 7x and dv = 4xdx: This choice is not optimal since the integral of 4xdx requires integration by the power rule, which is not as straightforward as integrating e^(4x)dx.

D. u = 4x and dv = 7xdx: This choice is also not ideal because integrating 7xdx leads to a quadratic expression, which is more complex to handle.

Therefore, the best choices for u and dv are u = 7x and dv = e^(4x)dx.

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Answer:( -2,3),( -5,9), (-3,11)

Step-by-step explanation: