select all of the statements that are true for the given parabola?check all that apply(everything in picture)

Answers

Answer 1

The x-intercepts are (-2, 0) and (2, 0), the minimum is at (0, -3), and the line of symmetry is x = 0 if the equation of the parabola is y = x²—4

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

Here the graph or equation is not given:

So we are assuming the equation for the parabola is:

y = x²—4

If we plot the graph of the parabola, we can say:

The x-intercepts are (-2, 0) and (2, 0) The minimum is at (0, -3)The line of symmetry is x = 0

Thus, the x-intercepts are (-2, 0) and (2, 0), the minimum is at (0, -3), and the line of symmetry is x = 0 if the equation of the parabola is y = x²—4

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Select All Of The Statements That Are True For The Given Parabola?check All That Apply(everything In

Related Questions

How should this model be completed to represent 1,881 ÷ 33?

Answers

Answer:

Check the attached image below

[tex]tanx^{2} -\frac{1}{3} =0[/tex]

Answers

try snapping a pic of the problem and uploading it again? i can not see what you need help with

These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29

Trigonometry expression

These are expression written as a function of sine, cosine and tangent.

Given

tanx² - 1/3 = 0

Add 1/3 to both sides

tanx² - 1/3 + 1/3 = 0 + 1/3

tanx² = 1/3

x² = arctan(1/3)

x² = 18.44

x =4.29

Hence the value of x from the given function is 4.29

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A closed rectangular box has volume 38 cm ^3. What are the lengths of the edges giving the minimum surface area

Answers

Answer:

3.361     3.361     3.361  cm

Step-by-step explanation:

Minimum surface are will be a cube

LWH = 38

L = cubrt (38) = 3.361   side length    cm

A family has a monthly income of ​$3912. Their monthly expenditures are as shown in the graph below.

Rent 21%
Food 24%
Transportation 11%
Other Expenses 18%
Savings 26%

How much money does the family save in a month?

Answers

Answer: The save $1134.48

Step-by-step explanation:

3912 x 0.29 = 1134.48

The amount of money that the family saves in a month will be $1,017.12.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

A family has a month-to-month payment of $3912. Their month-to-month uses are displayed in the diagram underneath.

Rent 21%

Food 24%

Transportation 11%

Other Expenses 18%

Savings 26%

Then the amount of money that the family saves in a month is calculated as,

⇒ $3,912 x 0.26

⇒ $1,017.12

The amount of money that the family saves in a month will be $1,017.12.

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Which of these choices show a pair of equivalent expressions? Check all that apply.

Answers

the answer is A.B

I mean the answer is a and b

The figure above shows the probability density function for the random variable x. What is P(3≤x<7)?

Answers

The value of the probability P(3≤x<7) is 1

How to evaluate the probability expression?

The expression is given as: P(3≤x<7)

This is calculated using:

P(3 ≤ x < 7) = P(3) + P(4) + P(5) + P(6)

Using the figure of the probability density function (see attachment), we have:

P(3 ≤ x < 7) = 0.30 + 0.30 + 0.20 + 0.20

Evaluate

P(3 ≤ x < 7) = 1

Hence, the value of the expression is 1

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8 3/8 + 3 3/8 + 2 3/8 + 3/8
what is the answer of this ?

Answers

The simplification form of the expression 8 3/8 + 3 3/8 + 2 3/8 + 3/8 is 14 whole 1/2 or 14 1/2 after adding all the terms.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have an expression:

[tex]= 8 \dfrac{3}{8} + 3 \dfrac{3}{8} + 2 \dfrac{3}{8} + \dfrac{3}{8}[/tex]

After simplification:

[tex]= \dfrac{67}{8} + \dfrac{27}{8} + \dfrac{19}{8} + \dfrac{3}{8}[/tex]

[tex]= \dfrac{67+27+19+3}{8}[/tex]

= 116/8

= 29/2

[tex]= 14\dfrac{1}{2}[/tex]

Thus, the simplification form of the expression 8 3/8 + 3 3/8 + 2 3/8 + 3/8 is 14 whole 1/2 or 14 1/2 after adding all the terms.

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Answer:

i dont understand your question

Step-by-step explanation:

The methods of solving quadratic equations

Answers

         There are three main ways of solving quadratic equations. The quadratic formula, factoring, and completing the square.

[1] using the quadratic formula

     When the equation is in the form of ax² + bx + c = 0.

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

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[2] factoring

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[3] completing the square

     To start out with completing the square, make sure your constant is isolated on one side. The equation will be as ax² + bx = -c

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Which one is the right conversion?

Answers

Answer:

1, 4, 5, 6

Step-by-step explanation:

to convert a rational to an exponential it's the index (number left of radical) over the power (number on the right).

you can also double check by plugging both into a calculator and see if they equal the same number.

Find the area of a regular polygon with 8 sides that has a perimeter of 96 inches and an apothem of 5 inches.


Area = [?]in2

Answers

Answer:

see the attachment photo!

Solve f (9) for f(x) = -13 + 2x
ƒ(9) = [?]

Answers

The value of f(9) for the given function is 5

Evaluating the value of a function

From the question, we are to determine the value of f(9)

The given function is

f(x) = -13 + 2x

To determine f(9), we will put x = 9 in the given function

That is,

f(x) = -13 + 2x becomes

f(9) = -13 + 2(9)

f(9) = -13 + 18

f(9) = 5

Hence, the value of f(9) for the given function is 5

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2x + 4y = 15
6x +12y = 45

What would the solution to the system of equations be?

Answers

Answer:

They both have an infinite number of solutions.

Step-by-step explanation:

Given system of equations:

a) 2x + 4y = 15

b) 6x + 12y = 45

Slope-intercept form: y = mx + b

where:

m is the slopeb is the y-intercept (when x = 0)

Rewrite both equations into slope-intercept form:

a) 2x + 4y = 15

⇒ 2x + 4y = 15 [subtract 2x from both sides]

⇒ 2x - 2x + 4y = 15 - 2x

⇒ 4y = - 2x + 15 [divide both sides by 4]

⇒ 4y ÷ 4 = (-2x ÷ 4) + (15 ÷ 4)

[tex]\sf \implies y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75[/tex]

b) 6x + 12y = 45

⇒ 6x + 12y = 45 [subtract 6x from both sides]

⇒ 6x - 6x + 12y = 45 - 6x

⇒ 12y = - 6x + 45 [divide both sides by 12]

⇒ 12y ÷ 12 = (-6x ÷ 12) + (45 ÷ 12)

[tex]\sf \implies y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75[/tex]

New equations:

[tex]\sf a)\ y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75\\\\\sf b)\ y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75[/tex]

Both equations have the same slope (-½), and y-intercept (3.75). Therefore, they both have an infinite number of solutions.

System of equations can have the following:

No Solution: the same slope (both lines will be parallel)

One Solution: different slopes and different y-intercepts

Infinitely Many Solutions: the same slope and y-intercept

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Looking at the given expression, they do not seem to be in the slope-intercept form which is the most common form used for linear expression. Let us convert the equations that were given in the problem statement to follow the slope-intercept form.

Slope-Intercept Form ⇒ [tex]y = mx + b[/tex]m = slopeb = y-intercept

Equation #1

Subtract 2x from both sides

[tex]2x + 4y = 15[/tex][tex]2x - 2x + 4y = 15 - 2x[/tex][tex]4y = -2x + 15[/tex]

Divide both sides by 4

[tex]\frac{4y}{4} = \frac{-2}{4}x + \frac{15}{4}[/tex][tex]y = \frac{-2}{4}x + \frac{15}{4}[/tex][tex]y = -0.5x + 3.75[/tex]

Equation #2

Subtract 6x from both sides

[tex]6x + 12y = 45[/tex][tex]6x - 6x + 12y = 45 - 6x[/tex][tex]12y = -6x + 45[/tex]

Divide both sides by 12

[tex]\frac{12y}{12} = \frac{-6}{12}x + \frac{45}{12}[/tex][tex]y = \frac{-6}{12}x + \frac{45}{12}[/tex][tex]y = -0.5x + 3.75[/tex]

Since both the first and second equation have the same exact number which means that they will fall exactly on top of each other.  Therefore, there are infinite solutions as they will always continue on top of each other.

The product of a quarter of 3 more than a number a and two times a number b as an algebraic expression?

Answers

The algebraic expression is (3/4 + a)* 2b

Algebraic expression of the product of a quarter of 3 more than a number a and two times a number b is equals to [tex](\frac{3}{4} +a)[/tex]×[tex](2b)[/tex]

What is an algebraic expression?

" An algebraic expression is defined as the expression which is represents using variables, number and mathematical operation."

According to the question,

'a' represents a number

'b' represents another number

Algebraic expression  as per the given condition we get,

The product of

Quarter of 3 more than a number a = [tex]\frac{3}{4} +a[/tex]

Two times a number b = 2b

Algebraic expression = [tex](\frac{3}{4} +a)[/tex]× [tex](2b)[/tex]

Hence, algebraic expression of the product of a quarter of 3 more than a number a and two times a number b is equals to [tex](\frac{3}{4} +a)[/tex]×[tex](2b)[/tex].

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What is the volume, in cubic meters, if the prism below?

Answers

Answer:   1848 cubic meters

=================================================================

Explanation:

Imagine rotating the figure so that the triangular face is flat on the ground. This makes the triangular faces to be the floor and ceiling of this room.

The floor is a triangle with base 24 meters and height 7 meters. The floor area is base*height/2 = 24*7/2 = 84 square meters.

Multiply this floor area with the height of the room (22 m) to get the volume of the room.

volume = (floor area)*(height) = 84*22 = 1848 cubic meters

calculate volume of a planet if radius is 6050 and answer in scientific notation
to the 2 significant number

Answers

Answer:

9.3*10^11

Step-by-step explanation:

4/3πr^3=9.3*10^11

Question 6(Multiple Choice Worth 1 points)
(02.02 MC)
Given the function f(x) = -5x² + 2x + 9, find f(1) and f(2). Choose the statement that is true concerning these two values.
O The value of f(1) cannot be compared to the value of f(2).
O The value of f(2) is larger than the value of f(1).
O The value of f(2) is smaller than the value of f(1).
O The value of f(1) is the same as the value of f(2). help

Answers

Answer:

O The value of f(2) is smaller than the value of f(1).

Step-by-step explanation:

First, let's solve for both. When the problem says f(1) or f(2), this just means that the x value is equal to that. So:
f(1) = -5(1)^2 + 2(1) + 9 = 6
f(2) = -5(2)^2 + 2(2) + 9 = -7
Since f(1) = 6 and f(2) = -7, we know that f(1) is greater than f(2). Therefore, the value of f(2) is smaller than the value of f(1)

Solve for x
x/8 = 3/5 give your answer as an improper fraction in its simplest form

Answers

Answer:

24/5

Step-by-step explanation:

x is 4.8, improper simplified is 24/5

HELP PLEAAASEEE Ireland opened a bag or skittles and recorded the colors and their frequencies.
What is the RELATIVE FREQUENCY, rounded to the NEAREST HUNDREDTH, for
the number of PURPLE candies?

Answers

Answer:  0.25

=================================================

Explanation:

We want the relative frequency of the purple candies.

There are 16 purple out of 18+20+10+16 = 64 total

Divide the values to get 16/64 = 0.25

Exactly 25% of the candies are purple. This converts to the fraction 1/4.

The correct answer is 25%

What is Relative Frequency?The number of times an event occurs divided by the total number of events occurring in a given data.

How to solve the problem?This problem can be solved by following steps.The data of color and frequency is given in table.We need find the relative frequency for Purple

First calculate the the total number of frequency

18+20+10+16

= 64

The total number of frequency is 64

Hence the relative frequency of purple is 16/64

Therefore , relative frequency of purple is 1/4 = 0.25

Therefore 25% of purple candies are there

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Area of a Square
Side Length (cm)
1
2
Area (cm²)
1
4
3
9
4
16
5
25
Describe how the area of a square is related to the length of the side.
a.
As the length of the side increases, the area decreases.
b.
As the length of the side increases, the area increases and then decreases.
As the length of the side increases, the area increases.
CA
d.
As the length of the side increases, the area decreases and then increases.

Answers

The description of the area of a square is (c) as the length of the side increases, the area increases.

How to describe the area of a square?

The table of values is given as:

Side Length (cm)        Area (cm²)

1                                       1

2                                      4

3                                      9

4                                      16

5                                    25

In the above table, we can see that:

As length increases, the area also increases

Hence, the description of the area is (c) as the length of the side increases, the area increases.

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please help me. i’m very stressed.

Answers

[tex]\sqrt[n]{a^n}=a[/tex], therefore [tex]\sqrt[4]{5^4}=5[/tex].

Answer:

It is 5

Key solutions:

[tex]\left(\sqrt[n]{a}\right)^n=a[/tex]

Step-by-step explanation:

Isolate the exponents and remove the square, giving you 5

[tex]\left(\sqrt[4]{5}\right)^4\\=5[/tex]

A square is inscribed in a quarter of a circle,calculate the quarter circle.​

Answers

Answer:

Step-by-step explanation:


6) Suppose you deposit $6000 in a savings account that pays interest at an annual rate of 4% compounded
continuously. How many years will it take for the balance in your savings account to reach $8000? Round
your answer up to the nearest number of years.

Answers

Answer:

7 years

Step-by-step explanation:

Please help I am so confused
The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 480 minutes, the monthly cost will be $277. If the customer uses 990 minutes, the monthly cost will be $532.

A) Find an equation in the form
y=mx+b, where x is the number of monthly minutes used and
y is the total monthly cost of the Ringular plan.

Answer:
y=
B) Use your equation to find the total monthly cost if 881 minutes are used.

Answer: If 881 minutes are used, the total cost will be

Answers

The total cost when 881 minutes is used is $477.50.

What are the equation that model the question?

a + 480b = 277 equation 1

a + 990b = 532 equation 2

Where:

a = flat fee b = variable fee

What is the flat fee and the variable fee?

Subtract equation 1 from equation 2

510b = 255

b = 255 / 510

b = $0.50

In order to determine the flat fee, substitute for b in equation 1

a + 480(0.5) = 277

a + 240 = 277

a = 277 - 240

a = $37

What is the total cost when 881 minutes is used?

Total cost = flat fee + (variable cost x number of minutes spoken)

$37 + (881 x 0.5) = $477.50

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Solve for x to the nearest tenth of centimetre

Answers

Answer:

Step-by-step explanation:

Write the converse of the statement
below.
If it is 9 a.m., then I am awake.

Answers

Answer:

if I am awake then it is 9 am.

Step-by-step explanation:

if p then q the converse is if q then p.

Solve for (x): (14.5x − 5(x + 2) ≤ 4 + 4(4 − 1/8x)

Answers

Answer:x ≤ 3

Step-by-step explanation:

(14.5x − 5(x + 2) ≤ 4 + 4(4 − 1/8x)
14.5x - 5x-10 ≤ 4 + 16 - 1/2x Get rid of the parenthesis

9.5x-10 ≤ 20-1/2x Combine like terms

10x - 10 ≤ 20

10x/10 ≤ 30/10

x ≤ 3

9x10^2 which sentence matches the question assigned

Answers

The computation of the index shows that the value of 9 × 10² will be 900.

How to calculate the indices?

From the information given, we are told to calculate the value of 9 × 10². This will be calculated thus:

= 9 × 10²

Note that 10² simply means that you've to multiply 10 twice. This will be:

= 10 × 10 = 100

Therefore, 9 × 10² will be:

= 9 × 100

= 900

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41 is a prime number found in the middle of a list of 7 consecutive numbers. find the 7 consecutive numbers

Answers

Answer: 29, 31, 37, 41, 43, 47, 53.

Step-by-step explanation:

volunteers for a fair prepared 12 1/2 liters of smoothies. At the end of the day, the volunteers had 2 5/8 remaining. How many liters of smoothies were sold?

Answers

i think its 9 7/8… dont quote me fr but i feel like this is the answer cause if you add 2 5/8+9 7/8 it equals 12 1/2

The liters of smoothies sold is 9 7/8 liters.

What is an Equation?

An equation is a statement formed when two algebraic expressions are equated by an equal sign.

The volunteer prepares 12 1/2 = 25/2 liters of smoothies

The remaining amount of smoothies is 2 5/8 = 21/8 liters of smoothies

Let the amount of smoothies sold is x liters

Then the equation formed to determine the value of x is

x = (25/2) - (21/8)

x = 79/8

x = 9 7/8 liters

Therefore, the liters of smoothies sold is 9 7/8 liters.

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Simplify the quotient 3-¹ ÷34

Answers

Answer:

[tex]\frac{1}{102}[/tex]

Step-by-step explanation:

1) Negative Power Rule: [tex]x}^{-a}=\frac{1}{{x}^{a}}[/tex].

[tex]\frac{1}{3}\div 34[/tex]

2) Use this rule: [tex]a\div \frac{b}{c}=a\times \frac{c}{b}[/tex].

[tex]\frac{1}{3}\times \frac{1}{34}[/tex]

3)  Use this rule: [tex]\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}[/tex].

[tex]\frac{1\times 1}{3\times 34}[/tex]

4) Simplify [tex]1\times 1[/tex] to [tex]1[/tex].

[tex]\frac{1}{3\times 34}[/tex]

5) Simplify  [tex]3\times 34[/tex] to [tex]102[/tex] .

[tex]\frac{1}{102}[/tex]

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