Please help me understand how to do this

Answer:

\(x = -5 + \sqrt{2}\) or \(x = -5 - \sqrt{2}\)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 1 from both sides.

For this equation: a = 2, b = 20, c = 46

Step 3: Utilize quadratic formula with a = 2, b = 20, c = 46.

Therefore, the answer is \(x = -5 + \sqrt{2}\) or \(x = -5 - \sqrt{2}\).

Answer:

From Thursday to Friday, the change in the depth was 19/16 inches

or as a mixed number, 1 3/16 inches

Step-by-step explanation:

From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches

now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8

so, 2 3/8 = 19/8 inches = depth change from monday to thursday

From Thursday to Friday, the depth changed by half as much,

so,

depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)

depth change from thursday to friday = 1/2(19/8) = 19/16 inches

Answer:

-1.33333 < x

Step-by-step explanation:

subtract 5 from both sides

get -4<3x

divde 3 by both sides

-1.33< x

Hi, there!

 _______

The first step is:

» Subtract both sides by 5

\(\sf{-4 < 3x}\)

Now divide each term by 3:

\(\sf{-\dfrac{4}{3} < x}\)

We can flip it over:

\(\sf{x > -\dfrac{4}{3}}\)

Hope the answer - and explanation - made sense,

happy studying!!

To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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Set 2:

T. Slope = (9-5)/(10-7) = 4/3 __16.  Slope = (2-(-2))/(9-(-5)) = 4/14

B. Slope = (-4-2)/(-5-(-8)) = -6/3 __ 8.  Slope = (-8-(-6))/(2-(-10)) = -2/12

H.  Slope = (-1-(-2))/(-4-2) = -3/-6 __ 3.  Slope = (-7-1)/(-8-(-2)) = -8/6

S.  Slope = (7-9)/(-11-(-4)) = -2/-7 __ 5. Slope = (3-(-2))/(-3-(-4)) = 5/1

O. Slope = (-6-(-1))/(4-5) = -5/-1 __ 14.  Slope = (6-(-4))/(-7-(-2)) = 10/-5

Set 3:

K. Slope = (-3-(-3))/(2-1) = 0/1 __ 9.  Slope = (-4-(-1))/(6-8) = -3/-2

R. Slope = (5-0)/(-3-3) = 5/-6 __ 1.  Slope = (-5-(-6))/(-8-(-11)) = 1/3

E. Slope = (-2-4)/(8-12) = -6/-4 __ 15. Slope = (3-4)/(-5-(-5)) = -1/0

U.  Slope = (-9-(-3))/(7-7) = -6/0 __ 12. Slope = (9-(-3))/(-5-(-2)) = 12/3

O.  Slope = (5-1)/(2-3) = 4/-1 ____ 6.  Slope = (8-8)/(7-(-3)) = 0/10

H.  Slope = (-8-(-6))/(-7-(-1)) = -2/-6 _ 10. (-5, 3) and (7, -7) Slope = (-7-3)/(7-(-5)) = -10/12

A set is a collection of distinct objects, usually numbers, that are grouped together in a manner that follows specific rules. Sets can be used to determine if an element belongs to the set or not, and can also be used to perform operations such as unions and intersections. Sets are an important tool in mathematics, and they can help simplify complex problems.

The Mathematician had to calculate the slope between two points for each of the sets given. To calculate the slope, the Mathematician had to subtract the y-values of the two points and divide by the difference between the x-values of the two points. The Mathematician then had to match the answers to the corresponding letter or number and write the letter in the matching numbered box at the bottom of the page. By doing this, the Mathematician was able to solve the riddle and arrive at work on time.

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There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Here are the steps in getting the inverse of the given function:

1. Replace f(x) with y.

2. Switch x and y.

3. Isolate y.

Add 7 on both sides of the equation.

Divide both sides of the equation by 2 to remove the 2 in 2y.

4. Replace y with the symbol for the inverse of f(x).

The inverse of the given function is (x + 7)/2 as shown above.

Answer:

Step-by-step explanation:

Quarter implies 4. If there were 20 items, and you broke them into quarters, each quarter would have 5 items.

Answer:

5 has the value of both the hundredth and the thousandth decimal space.

Answer:

12 days

Step-by-step explanation:

95÷4=23.75

285÷23.75=12

Answer:

12 days

Step-by-step explanation:

multiply by 3 to get the answer

Answer: 4

Step-by-step explanation: Daniels median is 16, and Sam’s median is 12. The difference eternal the two values is 4.

Answer:

faster and smarter Homes its b

Step-by-step explanation:

I did this one

Answer:

Hi, The.

The domain of a function is the set of all possible values for x. The range is all possible values for y.

You should be able to see these pretty easily from the graph. If I understand your function correctly:

f(x) = square root(x+2) - 3

then x cannot be less than -2. Your domain is x > -2. In interval notation [-2,∞)

The lowest value for y is -3 so the range is y > -3. In interval notation [-3,∞)

Hope this helps!

Answer:" m% = m/100. what = a variable ... "x". for example. "is" means "=". "of" means multiply. n = (m/100)•x.

Step-by-step explanation:

Answer:

(c).

Step-by-step explanation:

h(t) = - 16 t² + 80 t

Coordinates of the vertex are:

t = - \(\frac{80}{2(-16)}\) = \(\frac{5}{2}\) = 2.5 sec.

h = - 16(2.5)² + 80(2.5) = - 100 + 200 = 100 ft.

Answer:

-2p +13

Step-by-step explanation:

(7p + 6) - (9p - 7)

Distribute the minus sign

(7p + 6) - 9p + 7

Combine like terms

7p -9p   +6 +7

-2p +13

Answer:

-2p + 13

Step-by-step explanation:

Distribute the -1 to (9p - 7):

7p + 6 - 9p + 7

Add like terms (7p and -9p, 6 and 7):

-2p + 13

The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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Answer:

A 26.56% increase.

Step-by-step explanation:

A 12% increase corresponds to a total of 112% of the original amount.

Hence, a 13% increase of the 112% of the original amount would be equal to 1.12*1.13 = 1.2656, which equates to 126.56% of the original amount.

Hence, the single percentage change would be a 26.56% increase.

Hope this helped!

Answer:

The answer is sin inverse 3/4

Step-by-step explanation:

sinx⁰=BC/AB

sinx⁰=30/40

sinx⁰=3/4

x⁰ = sin^-1(3/4)

Answer:

3.4

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

Steps

1. Isolate the variable subtract 4.25 since it's positive.

4.25 - 1.25x = 0

- 4.25 - 4.25

- 1.25x = - 4.25

2. Divide by - 1.25 in both sides of equation.

- 1.25x = - 4.25

--------- ---------- <------- fraction bar/ divide

-1.25 -1.25

x = 3.4

Check:

4.25 - 1.25 (3.4) = 0

4.25 - 4.25 = 0

0 = 0

True statement.

Let:

A = A student owns a car

B = A student owns a computer

so:

a.

A car or computer:

92%

b. A car or a computer but not both:

45%

c. A computer given he had a car?

85%

d. Had both?

55%

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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Answer:

y = 10x, which is the relationship between two 7 in the number 3772

Step-by-step explanation:

In the given number 3772

3 is at thousandth position its value is 3000 numerically

7 is at the hundredth position its value is 700 numerically

next 7 is at tens position its value is 70 numerically

and 2 is at unit position its value is 2 numerically

thus, 3772 can also be written as sum  of number based on its position

3000

+700

+  70

+    2

___-

= 3772

Thus,

since Third 7 from left  has value of 70

and Second 7  from left  has value of 700

we know 70*10 = 700

Thus, 70 is 10 times to that 700

Thus, we can say that

value of Second 7  from left = 10*value of Third 7  from left

Thus,

let value of Second 7  from left be y

value of Third 7  from left  be x

then

y = 10x, which is the relationship between two 7 in the number 3772

Answer:

Interest I = $10.67

Step-by-step explanation:

Simple interest I = principal × rate × time

I = Prt

Given;

Principal P = $200

rate r = 4% = 0.04

time t = 16 months = 16/12 years

Substituting the given values;

I = $200 × 0.04 × 16/12

I = $10.66666666666

I = $10.67

She will pay $10.67 interest.

Answer:

2(x+5)

Step-by-step explanation:

Answer:

? is 51°

Step-by-step explanation:

(65 + ?)/2 = 58

Solve for ?

? = 51