Mathematics College

H(x) = (x-1)^2 -9 plot the x intercept

Answers

Answer 1

Answer:

x = -2 and 4

Step-by-step explanation:

You want a plot of the x-intercepts of H(x) = (x -1)² -9.

X-intercepts

The x-intercepts are the points where the graph crosses the x-axis, the points where H(x) = 0. Solving, we get ...

H(x) = (x -1)² -9

9 = (x -1)² . . . . . . . . add 9

±3 = x -1 . . . . . take the square root

±3 +1 = x = {-2, 4} . . . . . add 1

Plot

The attached graph shows the coordinates of the x-intercept points on the x-axis. The coordinates of the vertex of the parabola are also shown.

Related Questions

John received $200 dollars for his birthday. He went to Greenbriar Mail and purchased a pair of tennis shoes for $75.00. Then he went to the Cookie Store and bought $10.00 worth of cookies. Going to the car, John looked down and found $20.00 on the ground. How much money does John has now?

Answers

John has $135

Explanation:

Subtract 200 and 75 to and you get 125.
Next, subtract 125 and 10 to get 115.
Then, add 115 and 20 to get $135.

I need help with this

Answers

Answer:

B. {1, 6, 7, 8} ∩ {6, 8, 9} = {6, 8}

Step-by-step explanation:

The intersection of two sets is a set containing the elements that are present in both sets.

{1, 6, 7, 8} ∩ {6, 8, 9} = {6, 8}

PLEASE HELP ME ITS DUE TODAY!!!

Answers

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

How to verify that RSTU is a trapezoid?

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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WINGSUIT A wingsuit flyer jumps off a tall cliff. He falls freely for a few seconds before deploying the wingsuit and -4.9x² +420, where y is = slowing his descent. His height during the freefall can be modeled by the function y the height above the ground in meters and x is the time in seconds. After deploying the wingsuit, the flyer's height is given by the function y = −3x + 200. deploy the wingsuit?

Answers

The total height of the flyer at any time after deploying the wingsuit would be;

y = -3x + 200 + (-4.9t² + 420),

Now, Based on the given information, we can use the two functions to determine the height of the wingsuit flyer at a particular time.

During the freefall, the height of the flyer can be calculated using the function

y = -4.9x² + 420.

Let's say the flyer falls freely for t seconds before deploying the wingsuit.

Therefore, the height at the moment of deploying the wingsuit would be,

y = -4.9t² + 420.

After deploying the wingsuit, the height of the flyer is given by the function

y = -3x + 200.

We can combine these two functions to get the total height of the flyer at any given time after deploying the wingsuit.

So, the total height of the flyer at any time after deploying the wingsuit would be;

y = -3x + 200 + (-4.9t² + 420),

where x is the time after deploying the wingsuit and t is the time of freefall before deploying the wingsuit.

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please help me with this math question with solutions please
2×+4=4!

Answers

Answer: x= 10

Step-by-step explanation:

2x+4=24

2x=24-4

2x=20

x=10

Answer:

Step-by-step explanation:

2x+4=4

subtract 4 from both sides

2x=0

divide by 2 on both sides

x=0

1. The vertices of APQR are P(1, 3), Q(5, 4) and
R(5, 15). Find the length of the perpendicular
from Q to PR.

Answers

The distance of the perpendicular from Q to line PR is D = 2.2135 units

Given data ,

Let the triangle be represented as ΔPQR

Now , the coordinates are P(1, 3), Q(5, 4) and R(5, 15)

And , the equation of line of PR is given by

Slope m = ( 15 - 3 ) / ( 5 - 1 )

m = 3

y - 3 = 3 ( x - 1 )

Adding 3 on both sides , we get

y = 3x

y - 3x = 0

And , the point is Q(5, 4)

Now , distance of a point to line D = | Ax₀ + By₀ + C | / √ ( A² + B² )

D = | ( 1 ) ( 5 ) + ( -3 ) ( 4 ) + 0 | / √ ( 1 )² + ( 3 )²

D = | 5 - 12 | / √10

D = 7/√10

D = 2.2135 units

Hence , the distance is 2.2135 units

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Each day, Nicole earns a fixed wage plus extra money for every hour of overtime she works. The graph shows her total pay (in dollars) versus the amount of
overtime (in hours) that she works.
Total pay
(dollars)
I Don't Know
737
Mostly cloudy
Overtime (hours)
Subm
(a) What is Nicole's total pay with 0 hours of overtime?
(b) Choose the statement that best describes how the amount
of overtime and total pay are related. Then fill in the blank.
Search
As the amount of overtime increases, the total pay
decreases.
At what rate is the total pay decreasing?
$ per hour
As the amount of overtime increases, the total pay
increases.
At what rate is the total pay increasing?
$ per hour

Answers

(a) Nicole's total pay with 0 hours of overtime is $737.
(b) The correct statement is: "As the amount of overtime increases, the total pay increases." The rate at which the total pay is increasing is $10 per hour of overtime.

can be repeated. Complete parts (a) and (b).
(a) What is the probability of randomly selecting the correct access code on the first try?
(b) What is the probability of not selecting the correct access code on the first try?
Question content area bottom
Part 1

Answers

a. The number of possible access codes. The number of different codes available is 343.

b. The probability of randomly selecting the correct access code on the first try is 0.003

How to calculate the probability

a. To find the number of possible access codes. The number of different codes available is:

= 7* 7* 7

= 343

(b) The probability of randomly selecting the correct access code is nnothingwill be:

P = 1/343

= 0.003

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The access code for a safe consists of three digits. Each digit can be any number from 0 through 6 , and each digit can be repeated. Complete parts (a) through (c). a) Find the number of possible access codes. (b) What is the probability of randomly selecting the correct access code on the first try? (c) What is the probability of not selecting the correct access code on the first try? (a) Find the number of possible access codes. The number of different codes available is nothing . (b) What is the probability of randomly selecting the correct access code on the first try?

What is 2x2 + 1000 x 1000

Answers

Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004

Test Prep What fraction is represented by the point on the number line?

Answers

The fraction represented by the point between 1 and 2 on the number line is 5/3.

If the point is between 1 and 2 on the number line, we can determine the fraction it represents by considering the distance between the point and the two adjacent integers.

The point A lies between the numbers 1 and 2, which indicates that the whole number part of the fraction is 1.

Also note that the segment between 1 and 2 is divided into 3 equal parts. A lies on the 2nd part, which implies that the fractional part is 2/3.

Thus, the point A corresponds to the mixed fraction 1 -

2 5

1 - = (1*3)+2 / 3 = -

3 3

So, the fraction represented by the point between 1 and 2 on the number line is 5/3.

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Solve the inequality for y.
-3>9-6y
Simplify your answer as much as possible.

Answers

Answer:

y > 2

Step-by-step explanation:

You want the solution to the inequality ...

-3 > 9 -6y

Solution

We can add 6y+3 to both sides. This gives ...

6y > 12

Dividing by 6 tells us the solution for y:

y > 2

Additional comment

We could have solved by subtracting 9 to get ...

-12 > -6y

Then dividing by -6 reverses the inequality symbol:

2 < y

We avoid the issue with negative number multiplication or division by making the y-term positive in our solution process.

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What number is equal to 13 ones and 62 hundredths

Answers

Answer:13.6

Step-by-step explanation:

Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
What are the missing segment lengths shown in the image?
14√2
14
45
14√2
14√3
45
7√2 7√3

Answers

The legs of the big triangle are 14 units and the legs of the small triangle are 7√2 units

How to determine the lengths of the missing segments

From the question, we have the following parameters that can be used in our computation:

The right triangles

The right triangles are special triangles with acute angles of 45 degrees

This means that the relationship between the legs and the hypotenuse of the triangles is

Hypotenuse = Leg√2

Leg = Hypotenuse/√2

Using the above as a guide, we have the following:

Leg = 14√2/√2

Leg = 14

i.e. the legs of the big triangle are 14 units

Leg = 14/√2

Leg = 7√2

i.e. the legs of the small triangle are 7√2 units

See attachment for the triangles

Answers

Answer:

The distance between Garland and Mansfield on the map is 15 inches.

Step-by-step explanation:

On Giana's map of Texas, the scale is 1 inch = 3.5 miles. To determine the distance between Garland and Mansfield on the map, we can use the scale to find the corresponding measurement. Given that the actual distance between these two cities is 52.5 miles, we can set up a proportion:

1 inch / 3.5 miles = x inches / 52.5 miles

Cross-multiplying, we have:

3.5 miles * x inches = 1 inch * 52.5 miles

3.5x = 52.5

Dividing both sides by 3.5, we find:

x = 15

Therefore, the distance between Garland and Mansfield on the map is 15 inches.

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(2x^2-9x-5) \div(x-5)

Answers

Answer:2x+1

Step-by-step explanation:

The inverse of a conditional statement is "If a number is negative, then it has a negative cube root.”

What is the contrapositive of the original conditional statement?

If a number is negative, then it does not have a negative cube root.
If a number does not have a negative cube root, then the number is not negative.
If a number has a negative cube root, then the number is negative.
If a number is not negative, then it does not have a negative cube root.

Answers

The contrapositive of the original conditional statement is B. If a number does not have a negative cube root, then the number is not negative.

How to find the contrapositive ?

In logic, the contrapositive of a conditional statement is a logically equivalent statement that switches the positions of the hypothesis and the conclusion, while also negating both.

The contrapositive maintains the logical validity of the original statement. If the original statement is true, then the contrapositive is also true, and vice versa. "If a number is negative, then it has a negative cube root." The contrapositive of this statement would be: "If a number does not have a negative cube root, then the number is not negative."

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7. $60.00 in 5 hours
a. 12 hours for one dollar
b. 5/60
c. $12 per hour
d. $1.20 per hour

Answers

The calculated value of the unit rate of the situation is (c) $12 per hour

Calculating the unit rate of the situation

From the question, we have the following parameters that can be used in our computation:

$60.00 in 5 hours

This means that

Time = 5 hours

Total costs = $60.00

using the above as a guide, we have the following:

Unit rate = Total costs / time

substitute the known values in the above equation, so, we have the following representation

Unit rate = 60.00/5

Evaluate

Unit rate = 12

Hence, the unit rate of the situation is (c) $12 per hour

Answers

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

Answer:

A. Because it would simplify this equation.

Your parents are considering renting you an apartment instead of paying room and board at your college. The month-
to-month contract is $539.00/month and the annual contract is $467.00/month. If you break the annual contract,
there is a 2-month penalty.

3. How much do your parents save if you stay a whole year by entering into an annual contract
rather than a month-to-month contract?

4. If you enter into an annual contract but decide to leave after 5 months, how much do your parents lose by not doing the month-to-month contract?

Answers

Answer:

Step-by-step explanation:

3: ANSWER = 864

4; ANSWER = I DONT KNOW TNH YOU JUST HAVE TO MULTIPLY AMD THEN SUBRACT BOTH

Jayda is older than her 12-year-old sister. Write an inequality for j, Jayda's age.

Answers

The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.

Let j represent Jayda's age.

Since Jayda is older than her 12-year-old sister, we can write the inequality:

j > 12

Thus, the inequality states that Jayda's age (j) is greater than 12.

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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

Answer:

A. All sides of a rhombus are congruent, so if DK = 8, then KL = 8.

B. The diagonals of a rhombus are perpendicular to each other, so if angle KAL = 2x - 8, then we have:

2x - 8 = 90

2x = 98, so x = 49.

C. All sides of a rhombus are congruent, so if DM = 5y + 2 and DK = 3y + 6, then we have:

5y + 2 = 3y + 6

2y = 4, so y = 2, and KL = 5(2) + 2 = 12.

At hollywood connection, edgar plays laser tag 6 minutes for every 8 minutes he plays arcade games. If edgar plays arcade games for 48 minutes. for now many minutes will he play laser tag

Answers

Answer:

Step-by-step explanation:

48/8 = 6. 6*6 = 36.

A bird sanctuary has 14 bags of bird seed. Each bird feeder holds 16 of a bag.

How many bird feeders can be filled with the bird seed?

Answers

k bro i gochu

the answer is 84 man,

do good on ur hw

also can i get a pizza

Help pls anyone I’m rlly bad at these

Answers

144.) The value of X if the two angles of the triangle are congruent would be = 4. That is option D.

145.) The equation that should be used to find the value of X would be = 13x -15 = 22x + 9. That is option H.

How to determine the value of X when two triangles are congruent?

For question 144.)

Two triangles are congruent means that the angles are equal to each other. That is;

2.3x +25 = 5.8x + 11

Bring like terms together;

5.8x-2.3x = 25-11

3.5x = 14

X = 14/3.5

= 4.

For question 145.)

When two parallel lines are being cut across by a diagonal line a relationship exists between the angles that are formed.

The two given angles are congruent;

That is;

13x -15 = 22x + 9

Therefore the expression that can be used to calculate X would be = 13x -15 = 22x + 9

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

3/8 = (3 + AD)/20

8(3 + AD) = 60

24 + 8AD = 60

8AD = 36

A = 4 1/2

B is the correct answer.

Find the surface area of the regular pyramid.

A square pyramid. The length of the base is 1 inch. The height of each triangular face is 2 inches.

Answers

Answer:

Love helping people so here's the answer :)

Step-by-step explanation:

A square pyramid has 5 faces: 1 square base and 4 triangular faces. The surface area of the pyramid is the sum of the areas of all its faces.

The area of the square base is 1 * 1 = 1 square inch.

The area of each triangular face is (1/2) * base * height = (1/2) * 1 * 2 = 1 square inch.

Since there are 4 triangular faces, the total area of the triangular faces is 4 * 1 = 4 square inches.

Therefore, the surface area of the pyramid is 1 + 4 = 5 square inches.

Factor completely, then place the answer in the proper location on the grid.

9x4 -225y8

Answers

The factored expressions of 9x⁴ - 225y⁸ is (3x² + 15y⁴)(3x² - 15y⁴)

How to factor the expressions completely

From the question, we have the following parameters that can be used in our computation:

9x⁴ - 225y⁸

²⁴

For the expression, we can apply the difference of two squares

Where

9x⁴ = (3x²)²

225y⁸ = (15y⁴)²

Using the above as a guide, we have the following:

9x⁴ - 225y⁸ = (3x²)² - (15y⁴)²

So, we have

9x⁴ - 225y⁸ = (3x² + 15y⁴)(3x² - 15y⁴)

Hence, the factored expressions is 9x⁴ - 225y⁸ = (3x² + 15y⁴)(3x² - 15y⁴)

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A field in the shape of a right triangle is bordered on one side
by a lake, on another side by a street, and on a third side by a
tree line.
What angle does this lake make with the street?
Round only your final answer to the nearest degree.
Put just the number in the blank.
Lake
32 ft
Tree Line
18 ft
Street

Answers

Cos = 20/27 = 0.7407

angle that stream makes with the road = 42.2

answer

42 (Round only your final answer to the nearest degree)

Part D
Now use GeoGebra to measure the lengths of segments AB and BC and calculate the area of rectangle ABCD. Do you get the same result that you obtained in part C? Take a screenshot with the lengths of the sides labeled and the area displayed, and paste it below.

Answers

Answer:

id ont givea

efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr

Step-by-step explanation:

idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:

In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.

The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.

Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity: