Please help with the question below

Answers

Answer 1

The graph has 2 x-intercepts.

What is the quadratic function?

In mathematics, a polynomial of degree two in one or more variables is referred to as a quadratic polynomial. A quadratic polynomial defines the polynomial function known as a quadratic function.

We have,

f(x) = -3(x-3)² + 1

by simplifying the equation above

-3(x² -6x + 9) + 1 = 0

-3x² + 18x - 27 + 1 = 0

-3x² + 18x - 26 = 0

By calculating the quadratic equation we get

[tex]x=\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]

[tex]x=\frac{ -18 \pm \sqrt{18^2 - 4(-3)(-26)} }{2(-3)}[/tex]

[tex]x= 3 \pm \frac{\sqrt{3} }{3}[/tex]

x = 2.42265, x = 3.57735

so the points are (0, 0) and (2.4, 3.6)

The graph crosses the x-axis at (2.4, 3.6)

Hence, the graph has 2 x-intercepts.

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Related Questions

Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3

Answers

Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A: -3 - 4.9x = 12.8

B: 4.9x - (-3) = 12.8

C: 3+ 4.9x = 12.8

D: (4.9 - 3)x = 12.8

E: 12.8 = 4.9x + 3

We have a statement:

A negative 3 less than 4.9 times a number, x, is the same as 12.8.

We can write in a mathematical form:

4.9x - (-3) = 12.8

4.9x + 3 = 12.8

12.8 = 4.9x + 3

Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

Find the x- and y-intercepts of the graph of −2x+y=36. State each answer as an integer or an improper fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

y= 2x+36

x=36

Jethro added $50 to hi cafeteria account that had $40 already on it. Each time he buy lunch,$4. 50 i deducted from the account. Write an equation in lope intercept form relating the number of lunche he can purchae (x) to the amount of money remaining on the cafeteria account (y). What i the maximum number of lunche Jethro can buy

Answers

He has a total of $90 in his cafeteria wallet, thus the most lunches he may purchase is 20.

What is division?

A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Here,

Amount added=$50

Amount already in wallet=$40

Total amount in wallet=50+40

=$90

Cost of each lunch=$4.5

Number of lunch he can buy,

=90/4.5

=20

The maximum number of lunch he can buy is 20 lunch as he has a total of $90 in his cafeteria wallet.

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determine the measure of each missing angle in the triangle? HELPP MEEE PLEASEE!!!!

Answers

Answer:

The answer is 70

Step-by-step explanation:

180-40=140

140/2=70

70+70=140

140+40=180

180= the measure of the whole triangle

PS: Hope this helps:)

Larry and Peggy are making decisions about their bank accounts. Larry wants to deposit $350 as a principal amount, with an interest of 4% compounded quarterly. Peggy wants to deposit $350 as the principal amount, with an interest of 6% compounded monthly. Explain which method results in more money after 2 years. Show all work.

Answers

The method which result into more money after 2 years is Peggy method of saving at 6% interest rate and compounded monthly.

How to calculate compound interest?

Larry:

Principal, P = $350Interest rate, r = 4% = 0.04Number of periods, n = 4Number of years, t = 2

A = P(1 + r/n)^nt

A = 350.00(1 + 0.04/4)^(4×2)

A = 350.00(1 + 0.01)(8)

A = $379.00

Peggy

Principal, P = $350Interest rate, r = 6% = 0.06Number of periods, n = 12Number of years, t = 2

A = P(1 + r/n)^nt

A = 350.00(1 + 0.06/12)^(12×2)

A = 350.00(1 + 0.005)(24)

A = $394.51

Therefore, Peggy has more money than Larry after two years.

Answers

The answer is B (2.5)

Please help me do these inequalities.

Answers

Answer:

[tex]f=-29[/tex]

Step-by-step explanation:

Multiply both sides by 29.

[tex]-1*29\leq \frac{f}{29}*29[/tex]

Simplify the left side by multiplying −1 by 29.

[tex]-29\leq \frac{f}{29}*29[/tex]

Simplify the right side by canceling the common factor of 29.

[tex]-29\leq f[/tex]

Rewrite so f is on the left side of the inequality.

[tex]f\geq -29[/tex]

The domain of y = log2 (x+5) in the real numbers is

Answers

Answer: The final answer is 6

Step-by-step explanation: 2 x (x+5) = 6

SY FOR
f(x)= x³ - 8x² + kx-20
When f(x) is divided by (x - 1), the remainder is R.
When f(x) is divided by (x - 2), the remainder is 4R.
Find the value of k.

Answers

Applying polynomial division and solving the equation for the value of k using the substitution method, The answer is 32.

What do you mean by a polynomial?

Sums of terms with the form kxⁿ, where K is any number and N is a positive integer, are known as polynomials.

What is a substitution method for solving equation?

For each of the variables, solve one equation. Solve the other equation by substituting this expression. To identify the matching variable, rewrite the value's original equation.

Divide f(x) by x-1 , we get

k-27=R

Divide f(x) by x-2, we get

2k-44=4R

substitute value of R in second equation and solve, we get

k=32

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Will give Brainliest if correct answer!

Identify each description of a quadrilateral as one of the following.
I. a characteristic of parallelograms
II. a condition ensuring a quadrilateral is a parallelogram
III. both I and II
Iv. Neither I nor II

a. two pairs of congruent opposite sides

b. two pairs of congruent opposite angles [III]

c. two pairs of consecutive sides are congruent

d. four congruent angles e. one pair of parallel sides and a pair of congruent opposite sides

Answers

Answer

l-a

ll-d

lll-c

lV-b

don't think it is completely right but I tried

a plane ticket cost $30 per ticket max ended up haveing to spend $900 how many tickets did he buy ???

Answers

Answer:

30 tickets

Step-by-step explanation:

A plane ticket cost $30 per ticket max ended up having to spend $900 how many tickets did he buy ?

900/30 = 30 tickets

Mona wants to buy some pens. Each pens costs rs 3.50 she can only buy 3 pens with the money she has. which of these could be the money she has?

a. rs 14
b. rs 11
c. rs 10
d. rs 9

Answers

Answer:

she would have at least rs 11

Step-by-step explanation:

since each pen cost rs 3.50 she will probably have

3.50 × 3

= rs 10.5

approximately rs 11

Explain step-by-step how to simplify -5(2x - 3y + 6Z - 10)

Answers

Answer:

-10x + 15y - 30z + 50

Step-by-step explanation:

apply the distributive property

-10x + 15y - 30z + 50

Hello please solve this
Find all zeros of
F(x)=x^3-7x-6

Answers

Answer:

{-2, -1, 3}

Step-by-step explanation:

You want the zeros of F(x)=x^3-7x-6.

Descartes' rule of signs

The signs of the coefficients in order of decreasing degree are +--. There is one sign change, so there is one positive real root.

Rational root theorem

The rational root theorem tells you any real roots will be divisors of the constant, 6. Hence, we only need to try ±1, ±2, ±3.

The sum of coefficients is 1-7-6 = -12, so x=1 is not a solution. The positive solution is greater than +1.

The sum of coefficients of odd-degree terms is (1 -7) = -6, equal to the sum of coefficients of even-degree terms (0 -6) = -6, so -1 is a root.

Factorization

The attachment shows F(x) divided by the corresponding factor (x+1) using synthetic division. The quotient is (x² -x -6), so we know the factorization is ...

F(x) = (x +1)(x² -x -6) = (x +1)(x -3)(x +2)

The zero product rule tells us the roots are ...

x = {-2, -1, 3}

The graph of the function tells us the same thing.

Additional comment

The constants in the binomial factors of x² -x -6 will be factors of the constant term, -6, that sum to the linear term coefficient, -1. These are -3 and +2.

We like a graphing calculator for finding roots of a cubic and higher-degree polynomials. It will show only the real roots, so more steps are required for complex roots.

In 1/4 cup lemonade, there is 1/3 cup sugar. How much lemonade would 1 cup sugar make?
Answer=
Cups

Answers

1/4 cup has 1/3 cup sugar
There would be 3 1/4 since 3/3 is 1
So 1/4(3) is equal to 3/4
3/4 cup is able to be made with 1 cup of sugar
Hope this helps

Question 3
The graph of the line y = 2x + 3 is shown. Which point is the solution of the inequality y < 2x + 3?

A. (-3,4)
B. (0, 3)
C. (3, 0)
D. (-2,-1)

Answers

Answer:

A(-3,4)

Step-by-step explanation:

The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ y < 2x + 3

Now,

Since, The inequality is,

⇒ y < 2x + 3

Hence, The solution of the inequality is,

For point (- 3,4);

⇒ y < 2x + 3

⇒ 4 < 2 × - 3 + 3

⇒ 4 < - 3

Which is not true.

For point (3,0);

⇒ 0 < 2x + 3

⇒ 0 < 2 × 3 + 3

⇒ 0 < 9

Which is true.

Thus, The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

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What is 467 x 6 method

Answers

Answer:

2,802

Hope this helps :)

Step-by-step explanation:

1. Multiply the numbers.

467

× 6

2,802

2. Check.

2,802 ÷ 6 = 467 ✓

PLEASE HELP ILL THANK YOU GIVE YOU FIVE STARS AND GIVE YOU BRANLSIYEST!!!!!!!!!!!!!!!!
Triangle ABC has the following angle measures:

m∠A = (x + 4)°, m∠B = (2x − 11)°, m∠C = (3x + 25)°

What is m∠B?

27°
33°
43°
55°

Answers

Triangles are shapes that have a total angle measurement of 180°.

To find this answer, add the measures of all the angles and set the equation equal to 180:

(x + 4) + (2x − 11) + (3x + 25) = 180

NOW SOLVE FOR X!

x + 4 + 2x − 11 + 3x + 25 = 180

18 + 6x = 180

6x = 162

x = 27

Now plug 27 into the equation for m∠B:

m∠B = (2x − 11)

m∠B = 2(27) − 11

= 54 - 11

m∠B = 43

what's the GCF of 3a+5a

Answers

The common factor, in this case, is a, so the GCF is still a.

What is the greatest common factor (GCF)?

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

To find the greatest common factor (GCF) of two or more terms, we need to factor each term and then identify the factors that are common to both terms.

In this case, we have the terms 3a and 5a. To find the GCF, we can factor each term as follows:

3a = 3a

5a = 5a

The only common factor between the two terms is a, so the GCF of 3a and 5a is a.

Alternatively, we could have written the terms as:

3a = 3 * a

5a = 5 * a

Hence, The common factor, in this case, is a, so the GCF is still a.

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convert 7 1/2 cup to tbsp

Answers

The conversion of the units is 7 1/2 cup is 112.5 tbsp

How to convert the units?

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

convert 7 1/2 cup to tbsp

This can be represented using the following equation

7 1/2 cup = x tbsp

Express as decimal

x tbsp = 7.5 cups

1 cup = 16 tablespoons

So, we have the following representation

x tbsp = 7.5 * 15 tablespoons

Evaluate

x tbsp = 112.5 tablespoons

Hence, the conversion is 112.5 tablespoons

Answers

The formula for the given condition will be x=14t, where x is the number of books that Tea has and t is the number of books that Joseph has.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.

Here,

let x be number of books tea have be x,

Joseph has 14 books.

Tea have t times the book joseph have,

x=14t

The expression for the given condition will be x=14t where Tea have t times the book joseph have and x be number of books tea have.

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You have a recipe that indicates to use 7 parts of sugar for every 4 parts of milk. You use 28 cups of sugar how much milk do you need

Answers

You'll need 16 parts of milk and sugar.

What is unitary method ?

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

Hence, You'll need 16 parts of milk and sugar.

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A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (4, 6). What is the vertex of the function defined as g(x) = f(x +2) - 2?

Answers

If a quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (4, 6), the vertex of the function defined as g(x) = f(x +2) - 2 is (2, 4).

How to determine the vertex of the function defined as g(x)?

In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

In Geometry, the function g(x) = f(x + 2) - 2 simply means shifting a graph of the parent function by 2 units to the left and 2 units down.

In this context, we can reasonably infer and logically deduce that the vertex of the image g(x) is given by;

Vertex = (4 - 2, 6 - 2)

Vertex = (2, 4).

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Find the sale price: Sergio bought a belt that was discounted 43% from an original price of $543.

Answers

Answer: $309.51

Step-by-step explanation:

100% - 43% = 57%

543 times 0.57 = $309.51

What is the percent of increase from 37.5 to 73.2?

Answers

Answer:35.7

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Of the 72 people who have taken their seats at a seminar, 6 have brown hair. Considering this data, how many of the next 84 people to take their seats should you expect to be brown-haired?

Answers

Answer: 7 people are expected to be brown-haired.

when participants are sorted from lowest to highest on a variable, grouped into sets of two, and then one person from each set is assigned at random to each of the experimental groups, this is called

Answers

Sorting is the process of grouping individuals into sets of two according to how well they do on a certain measure, then randomly assigning one participant from each set to each of the experimental groups. The right response in this case is option D.

Any systematic arrangement process is called sorting, and there are two similar but different definitions of sorting: Organizing things in a sequence according to some condition is called ordering. Sorting things into categories is called categorization.

Sorting is the process of placing data in ascending or descending order based on a linear connection between the data pieces. Organizing things in a sequence according to some condition is called ordering. Sorting things into categories is called categorization.

Complete question:

When participants are sorted from lowest to highest on a variable, grouped into sets of two, and then one person from each set is assigned at random to each of the experimental groups, this is called

A.)random assignment

B.)matching

C.)biased choice

D.)sorting

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Sally can paint a room in 5 hours while it takes steven 7 hours to paint the same room. How long would it take them to paint the room if they worked together?

Answers

Answer:

2 hours and 55 minutes

Step-by-step explanation:

1/5+1/7-=1/x

12/35=1/x

cross multiply

12x=35

35/12=2 hr 55 mins

what is y=5x-4? Explain

Answers

Answer:

It is a LINEAR FUNCTION with the form Y = mX + B where m is the slope

Step-by-step explanation:

Answer:

Slope-intercept form

Step-by-step explanation:

Given equation,

→ y = 5x - 4

Now it is in the form of,

→ y = 5x - 4

→ y = mx + b

(Slope-intercept form)

It is Slope-intercept form.

The tape diagram shows that Ehecatl's hair, which is now 12\,\text{cm}12cm12, start text, c, m, end text long, is 60\%60%60, percent as long as it was before his haircut.
A tape diagram with one tape split into 5 equal parts. The first 3 parts are shaded. A curved brace above the first 3 parts is labeled 12. A curved brace below the first 3 parts is labeled 60 percent.
A tape diagram with one tape split into 5 equal parts. The first 3 parts are shaded. A curved brace above the first 3 parts is labeled 12. A curved brace below the first 3 parts is labeled 60 percent.
Complete the table to show different percentages of Ehecatl's hair length before the haircut.
Length (\text{cm}cmstart text, c, m, end text) Percentage
60\%60%60, percent of Ehecatl's old hair length
20\%20%20, percent of Ehecatl's old hair length
100\%100%100, percent of Ehecatl's old hair length

Answers

The completed table of Ehecatl's hair length before the haircut is

Length (cm) Percentage

12 60% of Ehecatl's old hair

4 20% of Ehecatl's old hair

20 100% of Ehecatl's old hair

How to complete the missing information in the table?

The complete question is added at the end of this solution and as an attachment

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

Length (cm) Percentage

60% of Ehecatl's old hair

20% of Ehecatl's old hair

100% of Ehecatl's old hair

The first step is to determine the length of her hair before she cut it

The equation to calculate the new length of the hair after the cut is represented as

New length = Length of the hair before it was cut * Percentage

Substitute the known values in the above equation

So, we have the following representations

At 60%: 60% x 20 = 12cm

At 20%: 20% x 20 = 4cm

At 10%: 100% x 20 = 20cm

So, the missing values are 12 cm, 4 cm and 20 cm