MATHEMATICS HIGH SCHOOL

How many points does y=4x^2-9x+9 cross the x axis

Answers

Answer 1

Answer:

Zero point

because when you graph it, it'll look like a V

This graph will not touch with the -x or +x axis so that's why I said zero point.

I hope that's help:)

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Which inequality represents all the values of x for which the product below is defined?xA: x≥-1B: x≥4C:x≤4D:x≥0
Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per week. This week, her goal is to make at least $75. A. Use a system of inequalities to model the scenario above. Let x represent babysitting hours and y represent tutoring hours. B. Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week. C. Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model.
What is the solution to the system of equations? y=3x+6 3x-y=6
A store is having a BOGO (buy one get on half off) sale. A customer buys 2 products that cost $40 and $30. Determine the total cost for the 2 items

Given the equation p=2w+2l solve for w

Answers

P= 2w + 21
-21 -21
P - 21 = 2w P -21
—————— —> ——- = w
2 2

Mae king earns a weekly salary of $305 plus a 7.5% commission on sales at a gift shop.How much would she make in a work week if she sold 4,300 worth of merchandise

Answers

Answer:

Step-by-step explanation:

Mae king earns a weekly salary of $305 plus a 7.5% commission on sales at a gift shop. This means that the total amount that she can earn in a week is not fixed. If in a week, she sold 4,300 worth of merchandise, her commission on this amount of sales will be 7.5 % of 4,300

Commission on sales = 7.5/100× 4300 = 0.075×4300= $332.25

Amount of money made for the week will be the sum of her weekly salary and the commission earned on sales. It becomes

305 + 332.25 = $627.5

The new building in the financial district is 245 feet taller than the clock tower.Let h represent the height of the clock tower.Write an expression for the height of the new building.

Answers

Answer: h + 245 = new building height (x)

Step-by-step explanation: Since the new building is 245 feet taller than the clock tower, adding the clock tower (h) and 245 feet, will find you the height of the new building

Solve x2 + 5x + 6 = 0

Answers

Answer:

Use the quadratic formula

=−±2−4√2

x=−b±b2−4ac2ax=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}x=2a−b±b2−4ac

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2+5+6=0

x2+5x+6=0x^{2}+5x+6=0x2+5x+6=0

a=1a={\color{#c92786}{1}}a=1

b=5b={\color{#e8710a}{5}}b=5

c=6c={\color{#129eaf}{6}}c=6

=−5±52−4⋅1⋅6√2⋅1

Simplify

Separate the equations

Solve

Solution

=−2=−3

Step-by-step explanation:

Answer:

x= - 2 or x = - 3

Step-by-step explanation:

$x^(2) +5x+6=0\nFactorise\n(x^(2) +3x)(+2x+6)=0\nx(x+3)+2(x+3)=0\n(x+2)(x+3)=0\nx+2 = 0 or x+3=0\nx=-2 or x=-3$

Question 71 pts
Bobby ran 1 lap around the track in 52.36 seconds. Jessie ran a lap in 49.4 seconds. How many
seconds faster was Jessie's lap?
O 29.6 seconds
O 0.296 seconds
4.742 seconds
O 2.96 seconds

Answers

Answer:

0.296

Step-by-step explanation:

19. A store manager purchases a piece of furniture for $456.00. To determine the selling price, the manager increases the purchase cost by 125%. A customer buys the furniture and pays an additional 8% sales tax. How much does the customer pay for the furniture?

Answers

Answer: The customer pays $1108.08 for the furniture.

Step-by-step explanation:

1. Determine the selling price of the furniture.

2. Calculate the sales tax.

3. Add the sales tax to the selling price.

Step 1: Determine the Selling Price

The store manager increases the purchase cost by 125%. To find the selling price, we first calculate the increase:

$\[\text{Increase} = \text{Purchase Cost} * \frac{\text{Percentage Increase}}{100}\]\[$

$\text{Increase} = \$456.00 * (125)/(100) = \$456.00 * 1.25 = \$570.00\]$

Now, we add this increase to the original purchase cost to find the selling price:

$\text{Selling Price} = \text{Purchase Cost} + \text{Increase}\]\[\text{Selling Price} = \$456.00 + \$570.00 = \$1026.00$

Step 2: Calculate the Sales Tax

The customer pays an additional 8% sales tax on the selling price. To find the sales tax, we use:

$\[\text{Sales Tax} = \text{Selling Price} * \frac{\text{Sales Tax Percentage}}{100}\]\[$

$\text{Sales Tax} = \$1026.00 * (8)/(100) = \$1026.00 * 0.08 = \$82.08\]$

Step 3: Add the Sales Tax to the Selling Price

Finally, to find out how much the customer pays in total, we add the sales tax to the selling price:

$\text{Total Cost} = \text{Selling Price} + \text{Sales Tax}\]\[\text{Total Cost} = \$1026.00 + \$82.08 = \$1108.08$

The customer pays $1108.08 for the furniture.

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