College-algebra. Find the x-intercept and the y-intercept without graphing. Write the coordinates of each intercept 2x = y+1 Enter the exact answers as points, (a, b). x-intercept: y-intercept: - 2/20 3 Current Grade: 26.0/40.0 Remaining Time: Unlimit BA​

Answer:

A = 9

B = 4 (If not included the minus)

Step-by-step explanation:

We are given the expression:

\( \displaystyle \large{4 \tan (x) \sin (x) + 5 \sec(x) }\)

We are going to rewrite the expression as Asec(x)-Bcos(x).

Let's recall the Identity of Trigonometric Function:

\( \displaystyle \large{ \tan(x) = \frac{ \sin(x) }{ \cos(x) } } \\ \displaystyle \large{ \sec(x) = \frac{1}{ \cos(x) } } \\ \displaystyle \large{ { \sin}^{2} x = 1 - { \cos}^{2} x}\)

We are going to use these identities to rewrite the expression. First, let's convert tan(x) to sin(x)/cos(x) and sec(x) to 1/cos(x).

\( \displaystyle \large{4 ( \frac{ \sin(x) }{ \cos(x) } )\sin (x) + 5( \frac{1}{ \cos(x) }) }\)

Simplify the expression — multiply sin(x) to sin(x)/cos(x).

\( \displaystyle \large{4 ( \frac{ { \sin}^{2} x}{ \cos(x) } )+ 5( \frac{1}{ \cos(x) }) }\)

Rewrite sin^2 of x as 1-cos^2(x).

\( \displaystyle \large{4 ( \frac{ 1 - { \cos}^{2} x}{ \cos(x) } )+ 5( \frac{1}{ \cos(x) }) }\)

Separate the fraction:

\( \displaystyle \large{4 ( \frac{1}{ \cos(x) } - \frac{ { \cos }^{2} x}{ \cos(x) } )+ 5( \frac{1}{ \cos(x) }) }\)

Rewrite 1/cos(x) as sec(x) again as we need it for rewrite.

\( \displaystyle \large{4 ( \sec(x) - \frac{ { \cos }^{2} x}{ \cos(x) } )+ 5\sec(x) }\)

Simplify cos^2 of x and cos(x).

\( \displaystyle \large{4 ( \sec(x) - \frac{ \cos(x) }{ 1} )+ 5\sec(x) } \\ \displaystyle \large{4 ( \sec(x) - \cos(x) )+ 5\sec(x) }\)

Expand 4 in sec(x)-cos(x).

\( \displaystyle \large{4 \sec(x) - 4 \cos(x) + 5\sec(x) }\)

Add 4sec(x) and 5sec(x).

\( \displaystyle \large{9 \sec(x) - 4 \cos(x) }\)

Hence, rewritten in form of Asec(x)-Bcos(x)

The value of A is 9 and B is 4 (If not included the sign).

(-√2)/2 is the exact value of the trigonometric function, cos θ

Given: the angle θ = -225°

The angle -225° is a negative angle, we can convert it to a positive angle by adding 360 to it.

cos (-225) = cos(-225 + 360)  = cos 135°

cos 135 = -cos(180-135)      [property of quadrant 2]

cos 135° = -cos 45°

cos 135° = (-√2)/2

Thus, the exact value of the trigonometric function is (-√2)/2

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Answer:

1/2 goes into 3/4 1 1/2 or 1.5 times

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Perpendicular ⇒ So the slope will be the negative reciprocal to this slope

Slope = m = 2

Point = (x,y) = (4,-8)

So, x = 4, y = -8

Putting in the slope-intercept form

\(y = mx+b\)

-8 = (2)(4) + b

b = -8-8

b = -16

Now we'll put it in the slope-intercept form

y = 2x-16

=> y = 2x-8-8

=> y+8 = 2(x-4)

Answer:

b

Step-by-step explanation:

The 90 % confidence interval estimate for the population mean using the student's t-distribution is [ 87.137 , 92.863 ] .

Given :

Suppose that the times to complete an obstacle course are normally distributed with an unknown mean and standard deviation. A random sample of 33 course times is taken and gives a sample mean of 90 seconds and a sample standard deviation of 10 seconds.

a 90% confidence interval estimate for the population mean using the student's t-distribution.round the final answers to two decimal places.

Confidence interval :

CI = X ± Z * s / √n

= 90  ±  1.6449 * 10 / √33

= 90 ± 2.863

= [ 87.137 , 92.863 ]

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Full question:

is in the image uploaded.

Answer:

here hope this helps please mark brainly

Step-by-step explanation:

The table that represents the relationship between Lemon poppy and Bran muffins is as under:

Lemon poppy Muffins                    Bran Muffins

22                                                             2

66                                                             6

88                                                             8

Given that a backery sells 22 Lemon Poppy Muffins for every 2 Bran Muffins.

We are required to find the table that represents the relationship between lemon poppy and Bran Muffins.

To find the table we need to just multiply 1,2,3,4,5,etc.

Table contain rows and columns which shows some relationship between variables.

Table which shows represents the relationship between lemon poppy and Bran Muffins is as under:

Lemon Poppy Muffins                     Bran Muffins

22                                                            2

44                                                            4

66                                                            6

88                                                            8

Hence the table that represents the relationship between Lemon poppy and Bran muffins is as under:

Lemon poppy Muffins                    Bran Muffins

22                                                             2

66                                                             6

88                                                             8

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Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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Therefore , the solution of the given problem of square comes out to be the ABCD  square is 18 inches

The side length of a square ABCD is 18 inches Each side of square ABCD is 18 inches The midpoints of ABCD are joined to form a square MNOP The figure is attached below

Here,

We need to find the side length of square MNOP

AMN form a Right angle triangle

We know AM =9  and AN= 9

To find MN , use Pythagoreans theorem

MN2=AM2+AN2

MN2=9square+9 square

MN2=162

Take square root on both sides

MN=9 root 2

so the side of the square MNOP is  9 square root 2 inches

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Jenny's Average swimming speed is 1.5 km/h.

Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.

We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.

Thus, the distance she swam is S * 1 = S km.

Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.

Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.

Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.

She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.

The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.

Therefore, we can write the equation:

S + 8S + 28S = 55.5.

Simplifying the equation, we get:

37S = 55.5.

To solve for S, we divide both sides of the equation by 37:

S = 55.5 / 37 = 1.5.

Thus, Jenny's average swimming speed is 1.5 km/h.

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Answer:

Step-by-step explanation:

3/4 : 1/8 =

3/4 x 8 =

24/4 =

6

Answer:

Step-by-step explanation:

Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.

Angle GEB is a right angle by given.

Angle DFC is a right angle by given.

The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.

The two triangles are similar by  angle-angle-angle.

Answer:

96

Step-by-step explanation:

The least common denominator or lowest common denominator is the smallest multiple that the denominator (that is the number on the bottom of a fraction) has in common.

Since 32, and 3 have no common factors, one simply has to multiply them to find the least common denominator.

32 * 3 = 96

\(112 : ( 3 + 5 + 6)= 112 : 14 = 8\)

basketballs = 8(5) = 40

soccer balls = 8(3) = 24

→ basketballs - soccer balls = 40 - 24 = 16

Answer:

  -8/3

Step-by-step explanation:

You want the slope of the line shown in the graph.

Whether counting grid squares on the graph, or using the slope formula, it is convenient to choose two points on the grid where the line crosses the intersection of grid lines.

It appears, the line passes through grid points (1, 4) and (4, -4). Using the slope formula, we find the slope of the line to be ...

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -4)/(4 -1) = -8/3

The slope of the line is -8/3.

The slope is the ratio of "rise" to "run" for the line. From the two points we see where the line crosses grid intersections, we have a "rise" of -1 from y=4 to y=-4, and a "run" of 3 from x=1 to x=4.

  rise/run = -8/3 = slope of the line

Answer:

\(? \times \frac{?}{?} \)

d

Answer:

2 by 25 feet.

Step-by-step explanation:

Let L and W be the length and the widht of the field

we want W = L + 23 and W x L = 50

So

(L + 23) x L = 50

\(L^2 + 23L = 50\\L^2+23L-50 =0\\(L+25)(L-2)=0\\L=-25 \text{ or } L = 2\)

Since L must be positive then L =2 and W = 2 + 23 = 25.

Answer:

Subtract 8.5

Step-by-step explanation:

To solve the equation, y has to be isolated (only y will be on one side of the equation)

To do this, we have to get rid of the 8.5, so it has to be subtracted from both sides.

So, the correct answer is subtract 8.5

Subtract 8.5 from both sides to solve equation.

We have the following equation -

y + 8.5 = 17.2

y + 8.5 - 8.5 = 17.2 - 8.5

y = 8.7

Therefore, Subtract 8.5 from both sides to solve equation.

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

\(f\left(x\right)=\sqrt{x^3-16x}\)

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

\(x^3-16x\ge 0\)

as x³ - 16x ≥ 0

\(\left(x+4\right)\left(x-4\right)\ge \:0\)

Thus, identifying the intervals:

\(-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\)

Thus,

The domain of the function f(x) is:

\(x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}\)

And the Least Value of the domain is -4.

Answer:

32

Step-by-step explanation:

4(2)+8(3) is the equivalent to 8+24, getting you to the answer of 32 once you add them together. Hope this helped! <3

Answer:

1,490,000

Step-by-step explanation:

Answer:

1490000?

Step-by-step explanation:

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Ahttps://edpuzzle.com/assignments/600b1eec3f257f4235835f31/watchvhttps://edpuzzle.com/assignments/600b1eec3f257f42358idskdkeidjiwfjefwbfdbfkiwdhf

by-step explanation:

Answer:

3(6x+5)

Step-by-step explanation:

So first I opened my device

Then, I went to brainly

Next, I asked the question

Finally, i came back here to put the answer i found

                          *Perfect explanation*

Answer: x(0.035)+w

Step-by-step explanation:

to find out the percent she gets from sales you multiply that by the percent she earns then add it to the 2400 which she already makes

To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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Answer: Unfactorable

Step-by-step explanation:

5v^2-30v+70

5(v^2-6v+14)

You can't factor v^2-6v+14 with rational numbers

Answer: $4

Step-by-step explanation:

32-8=24 then 24-18=6 then 6-2=4

Answer:$ 20

Step-by-step explanation:

start off with 32 , then you add 8 and you will have 40 . then she went shopping so , she brought 3 $6 books ( 6 , 12 , 18 ) . so far she would have $32 , ( 40 - 18 = 32 . Plus she brought a juice box which was $2 so the answer would be $20 ( 40-18-2 = 20)