A parabola has zeros at (5,0) and (-3,0) and passes through point (6,18) determine the axis of symmetry

Answers

Answer 1

Answer:

The axis of symmetry is [tex]x=1[/tex]

Step-by-step explanation:

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

In this problem we have a vertical parabola open upward

The x-coordinate of the vertex is equal to the midpoint between the zeros of the parabola

so

[tex]x=\frac{5-3}{2}=1[/tex]

therefore

The axis of symmetry is [tex]x=1[/tex]


Related Questions

Your job is to sort and sack marbles for sale. A bag contains 90 marbles, some red and some blue. If there are 60 blue marbles, what is the ratio of blue to red marbles?

Answers

Answer:

2:1

Step-by-step explanation:

90-60 = 30 red marbles

blue:red → 60:30 → 2:1

what percent is 18 out of 30?

Answers

Answer:

60%

Step-by-step explanation:

p/100 = 18/30

Multiply each side by 100

p/100 *100 = 18/30 *100

p = 60

18 is 60 percent of 30

The number 18 out of the number 30 is 60 percent.

We need to find what percent is 18 out of 30.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, 18/30

= 9/15

= 3/5

= 0.6

In percentage 0.6×100

= 60%

Therefore, the number 18 out of the number 30 is 60 percent.

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the price of a climbing trip to mount kilimanjaro includes an initial fee plus a constant fee per meter. the table compares the total distance of a trip (in meters) and the price of the trip (in dollars).

Answers

Answer:

[tex]200\ m[/tex]

Step-by-step explanation:

Let

x------> total distance of a trip

y-------> the price of a trip

step 1

Find the slope

Let

[tex]A(70,114.1),B(100,118)[/tex]

[tex]m=\frac{(118-114.1)}{100-70}=0.13\frac{\$}{m}[/tex]

step 2

Find the equation of the line into point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=0.13[/tex]

[tex]A(70,114.1)[/tex]

substitute

[tex]y-114.1=0.13(x-70)[/tex]

[tex]y=0.13x-9.1+114.1[/tex]

[tex]y=0.13x+105[/tex]

step 3

For [tex]y=\$131[/tex]

Find the value of x

substitute in the linear equation and solve for x

[tex]131=0.13x+105[/tex]

[tex]0.13x=131-105[/tex]

[tex]x=26/0.13=200\ m[/tex]

Answer:

$0.13

Step-by-step explanation:

Path a for every 36 meters of horizontal distance , the vertical change is 14 meters

Path B for every 4.27 meters of horizontal distance , the vertical change is 2 meters

The grade of path a is _%
The grade of path b is _ %

Answers

Answer:

The grade for path a is 257.1428571%

The grade for path b is 213.5%

Step-by-step explanation:

To find the grade of a slope, you take the rise over run then you multiply by 100.

(6x^2-x+8)-(x^2+2) NEED HELP FOR GRADUATION ASAP THX***

Answers

I recommend this app called photomath it is unlimited and you just take a picture of the questions

Answer:

A

Step-by-step explanation:

given

6x² - x + 8 - (x² + 2) ← distribute parenthesis by - 1 )

= 6x² - x + 8 - x² - 2 ← collect like terms

= 5x² - x + 6 → A

Jenna can paint the shed in 2 hours. Juan can paint it in 1.5 hours. • Jenna says is they work together the job will take 1/2+1/1.5=1^1/2 hours. • Juan says if they work together the job will take 2+1.5/2=1^3/4 hours. Determine if either Jenna or Juan is correct. Explain your reasoning with numbers and words.

Answers

Answer:

There is a formula for this:

[Worker 1 Time * Worker 2 Time] / [Worker 1 Time + Worker 2 Time]

[2 * 1.5] / [2 + 1.5] = 3.0 / 3.5

= 0.8571428571 Hours =

51.43 minutes

Both Jenna and Juan are INCORRECT.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 job / 2 hours + 1 job / 1.5 hours = 1 job / x  When they work together.

1/2 + 1/1.5 = 1/x                Basic Equation. Change to decimal form

0.5 + 0.6666 = 1/x          Add like terms on the left

1.1666666 = 1/x              Multiply by x on both sides.

1.1666667 x = 1               Divide by 1.16666667

x = 1 / 1.166667               Do the division.

x = 0.8571428              

x = 6/7 of an hour.

This kind of question will always produce an answer that is less than the smallest number.

So the answer must be smaller than 2 hours or 1.5 hours.

Solve the following: 5x -1oy -6y +8x +4=

Answers

5x-1y-6y+8x+4
8x+5x = 13x + 4 = 17x -1y-6y= -7y
17x-7y = 10xy

This is how I was taught to solve it. However, your school may do it differently

The slope of the line passing through the points (-3, 4) and (-5, -6) is -1 5 1/4

Answers

Answer:

5

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put the coordinates of the points (-3, 4) and (-5, -6) to the formula of a slope:

[tex]m=\dfrac{-6-4}{-5-(-3)}=\dfrac{-10}{-2}=5[/tex]

Please help! On part B!

Answers

Answer:

80.73 each month

Step-by-step explanation:

The original price of the computer is $598. It is offered for 25% off. This means you pay 75% of the original price or 0.75(598) = 448.5. The sales price is $448.50. You will pay 8% tax on this price. This means you'll pay 100% of the price plus 8% more. So this is 1.08(448.5) = 484.38.

In total you pay 484.38 over 6 months. This means each month you pay 484.38/6 = 80.73.

What is the volume of this rectangular prism.

Answers

Answer:

Volume of Rectangular Prism:

V = lwh thus: V = 5 cm³

Step-by-step explanation:

Answer:

l = 2.5 cm

w = 4 cm

h = 0.5 cm

d = 4.74342 cm

S = 26.5 cm²

Agenda:

l = length

w = width

h = height

d = diagonal

S = surface area  

V = volume

Answer:

The answer is 5 cm cubed.

Step-by-step explanation:

First, use the formula for solving rectangular prisms, l*w*h(length times width times height). If you do that, 4*1/2 is 2. 2*5/2 is 5. Thus, the answer is 5.

Hope this helps!

A petroleum laboratory technician is working at a petroleum storage depot in the oil-analysis laboratory. The lab tech is running tests on a sample from a 45-gallon oil-solvent mixture that contains 18 gallons of oil.

What is the ratio of the number of gallons of oil to the number of gallons of solvent?

Answers

Final answer:

The ratio of the number of gallons of oil to the number of gallons of solvent is 2:3.

Explanation:

The ratio of the number of gallons of oil to the number of gallons of solvent can be determined by subtracting the number of gallons of oil from the total volume of the mixture and then dividing by the number of gallons of solvent. In this case, the total volume of the mixture is 45 gallons and the number of gallons of oil is 18. So, the number of gallons of solvent is 45 - 18 = 27. Therefore, the ratio of the number of gallons of oil to the number of gallons of solvent is 18:27, which can be simplified to 2:3.

subtract -5x+7 from 3x-2 set up your expression show your work

Answers

3x-2

-(-5x+7)

☝️this is your equation

distribute your subtraction sign to -5x+7 and you get

3x-2

+5x-7

add everything together and you end up with

8x-9

Answer:

[tex]\large\boxed{(3x-2)-(-5x+7)=8x-9}[/tex]

Step-by-step explanation:

[tex](3x-2)-(-5x+7)\\\\=3x-2-(-5x)-7\\\\=3x-2+5x-7\qquad\text{combine like terms}\\\\=(3x+5x)+(-2-7)\\\\=8x-9[/tex]

The estimate using front end rounding to get the answer to 18.3 x 1.6

Answers

Answer:

36

Step-by-step explanation:

18.3 = 18

1.6 = 2

18 x 2 = 36

Answer:

36

Step-by-step explanation:

hope it helps! x

What is the domain of the function y= sqrt3/x ? plese help

Answers

Answer:

all reals, except at x=0

Step-by-step explanation:

because x is in the denominator, x cannot equal 0

For this case we have a function of the form [tex]y = f (x),[/tex]where:

[tex]f (x) = \sqrt {\frac {3} {x}}[/tex]

we must find the domain of the function.

The domain is given by all the values for which the function is defined.

Note that "x" is not defined for negative numbers or for zero. Then x can only take strict higher values to zero.

Domain: {x | x> 0}

Answer:

Domain: {x | x> 0}

Indicate in standard form the equation of the line passing through the given points. M(0, 6), N(6, 0)

Answers

ANSWER

[tex]x + y = 6[/tex]

EXPLANATION

Given the x- intercept: (a,0)

and the y-intercept : (0,b)

The equation in standard form is given by:

[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]

The given x-intercept is N(6,0) and y-intercept is M(0,6).

This implies that:

a=6, and b=6.

We substitute into the formula to obtain:

[tex]\frac{x}{6} + \frac{y}{6} = 1[/tex]

Multiply through by 6 to get the standard form of the equation as:

[tex]x + y = 6[/tex]

i need help with this question fast!!!

Answers

C) 2/3 of a page per hour

Since he can write 1/3 of a page in 1/2 of an hour, multiply by 2 to find that he writes 2/3 of a page in 1 hour.

Please consider marking this answer as Brainliest to help me advance.

I agree with the one above.

The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:

Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6

In which step did the student first make an error and what is the correct step?

Answers

step 2 and it was to be 8x-16=8+8+2x

Step 2 it would be 8x-16=8+2x+8

What is 1.06x2.29? I really need help with this problem.

Answers

2.4274 that is the answer

Answer:

2.4274

Step-by-step explanation: just multiply

Can someone help me with matching? Will mark brainliest for the correct answer

Answers

Answer:

nails  are cleavage rocks are luster flash light is color and hammer is hardness

Step-by-step explanation:

the flash light is color because if you refleact it off of some thing it whould make light whitch is basically color. rocks l is luster because rocks  can gentle sheen or soft glow, especially that of a partly reflective surfacehammer is hardness because i bang it it is hard and nails are cleavage because a sharp division; a split hope i get brainlist witch will never happen will hope this help and let me know if you got it right..

I'm not sure but

the nail is most likely for hardness

the hammer for cleavage/fracture

the light for color

and the black chalk stuff for luster

I used to mess around with rocks a lot... I think this is right, though I'm not sure

Freddy exercised 2.5 hours per 4 days. He burned 330 calories per hour. How many calories did Freddy burn by exercising?

Answers

multiply

[tex]330 \times 2 \\ 660 \times 4 \\ then \: the \: answer \: plus \\ \: 330 \div 2 \\ 165 \times 2[/tex]

that will be the answe

2964 calories

Answer: He burned 3.300 calories.

Step-by-step explanation: 330 (calories he burns per hour)× 2.5 (hours he exercised)= 825

825 (calories he burns per day)× 4 (days)= 3.300 (calories he burned by exercising)

I hope this helped you!!

ANSWER THIS QUESTION FAST AND I WILL GIVE YOU BRAINLEST

1.The graph shows two lines, M and N.


How many solutions are there for the pair of equations for lines M and N? Explain your answer.



2.Consider the following pair of equations:


y = x + 4

y = −2x − 2


Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.


THE GRAPH IS FOR QUESTION 1.

Answers

Answer:

{y,x} = {-6,-2}

Step-by-step explanation:

/ Solve equation [2] for the variable  y  

 [2]    y = 2x - 2

// Plug this in for variable  y  in equation [1]

  [1]    (2x-2) - x = -4

  [1]    x = -2

// Solve equation [1] for the variable  x  

  [1]    x = - 2

// By now we know this much :

   y = 2x-2

   x = -2

// Use the  x  value to solve for  y  

   y = 2(-2)-2 = -6

Helaine graphed the equation 12x – 4y = 3. What was the slope of Helaine’s line?\

Answers

Answer:

[tex]\large\boxed{\text{The slope}\ m=3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of a line in the standard form:

[tex]12x-4y=3[/tex]

Convert to the slope-intercept form:

[tex]12x-4y=3[/tex]         subtract 12x from both sides

[tex]-4y=-12x+3[/tex]        divide both sides by (-4)

[tex]y=\dfrac{-12}{-4}x+\dfrac{3}{-4}\\\\y=3x-\dfrac{3}{4}[/tex]

Answer:  The required slope of the given line is 3.

Step-by-step explanation:  Given that Helaine graphed the following equation :

[tex]12x-4y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We are to find the slope of the line.

We know that

the slope-intercept form of a straight line is given by

[tex]y=mx+c,[/tex] where m is the slope of the line.

From equation (i), we have

[tex]12x-4y=3\\\\\Rightarrow 4y=12x-3\\\\\Rightarrow y=\dfrac{12x-3}{4}\\\\\\\Rightarrow y=3x-\dfrac{3}{4}.[/tex]

Comparing with the slope-intercept form, we get

slope, m = 3.

Thus, the required slope of the given line is 3.

Which statement about rhombuses and parallelograms is true?

A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not.

B) Rhombuses ALWAYS have four right angles; parallelograms sometimes do not.

C) Parallelograms ALWAYS have opposite sides equal; rhombuses sometimes do not.

D) Parallelograms ALWAYS have opposite sides parallel; rhombuses sometimes do not.

Answers

Final answer:

The correct statement about rhombuses and parallelograms is that rhombuses always have four equal sides while parallelograms sometimes do not. The other options are not true for rhombuses and parallelograms.

Explanation:

The correct statement about rhombuses and parallelograms is option A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not. A rhombus, by definition, is a four-sided figure with all sides having equal length while a parallelogram is a four-sided figure with only opposite sides being equal.

Options B, C, and D are incorrect. Rhombuses do not always have four right angles; that is characteristic of a rectangle. Parallelograms always have opposite sides equal and parallel, so C and D are not true.

Learn more about rhombuses and parallelograms here:

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The correct answer is option (A).The true statement is that rhombuses always have four equal sides, while parallelograms sometimes do not. This characteristic is a key distinction between rhombuses and general parallelograms. The other statements about angles and sides are incorrect regarding rhombuses and parallelograms.

To determine which statement about rhombuses and parallelograms is true, we need to understand their definitions and properties:

Parallelogram: A quadrilateral with opposite sides that are both parallel and equal in length. Opposite angles are equal, and adjacent angles are supplementary.Rhombus: A type of parallelogram where all four sides are of equal length. Additionally, the diagonals of a rhombus are perpendicular and bisect each other at right angles.

Given these definitions, let's evaluate each statement:

A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not.
This is correct because a defining property of a rhombus is having four equal sides, whereas a general parallelogram only requires the opposite sides to be equal.B) Rhombuses ALWAYS have four right angles; parallelograms sometimes do not.
This is incorrect because a rhombus does not necessarily have right angles.C) Parallelograms ALWAYS have opposite sides equal; rhombuses sometimes do not.
This is incorrect because rhombuses, as a type of parallelogram, also always have opposite sides equal.D) Parallelograms ALWAYS have opposite sides parallel; rhombuses sometimes do not.
This is incorrect because rhombuses, being parallelograms, always have opposite sides parallel.

Option A) is the true statement as rhombuses always have four equal sides and parallelograms sometimes do not.

Lynn is a single mother with two children. She qualifies to file as head of household. Her total income before deductions was $38,900 last year. Her total deductions were $11,450. Her employer withheld $3,150 from her pay for tax. Use the tax table below. How much more will Lynn owe in taxes?

Answers

Final answer:

To calculate how much more Lynn owes in taxes, we need to subtract her deductions from her total income to find her taxable income, then apply the tax rate from the provided table (which is missing in this case) to determine her tax liability. Unfortunately, without the tax table, we cannot accurately compute her tax obligation or the additional amount owed beyond the $3,150 withheld.

Explanation:

The question involves calculating how much more in taxes Lynn will owe after her deductions. Lynn's total income before deductions is $38,900. After subtracting her total deductions of $11,450, her taxable income becomes $27,450. Without the tax table provided in the question, we cannot determine the exact tax rate applicable to Lynn's taxable income nor can we calculate the precise amount of taxes she owes or how much more she will have to pay on top of the $3,150 already withheld by her employer. Typically, to find out how much more Lynn owes, we would apply the appropriate tax rate to her taxable income and then subtract the amount already withheld.

Without specific tax rates and brackets from the tax table, we can only outline the steps to calculate Lynn's tax liability. This scenario underlines the importance of having complete information to accurately determine tax obligations.

The amount Lynn owe in taxes is determined as $399. (Option D).

How to calculate the amount Lynn owe in taxes?

The amount Lynn owe in taxes is calculated  by applying the following method as shown below.

Lynn income before tax = $38,900

the total deduction in Lynn income = $11,450

amount withheld for taxes = $3,150

Lynn total income after tax is calculated as;

total income after tax = $38,900  - $11,450

total income after tax = $27,450

From the tax table attached, the tax payable for a head of household earing an income between $27,450 and $27,500 is $3,549.

So if the employer withheld $3,150 for tax, the remaining amount to be paid for tax is;

remaining amount for be paid for tax is calculated as;

= total tax - amount withheld

= $3,549 - $3,150

= $399

Thus, the amount Lynn owe in taxes is $399.

The complete question is below:

Lynn is a single mother with two children. She qualifies to file as head of household. Her total income before deductions was $38,900 last year. Her total deductions were $11,450. Her employer withheld $3,150 from her pay for tax. Use the tax table below. How much more will Lynn owe in taxes?

A. $570

B. $563

C. $407

D. $399

What I need to know from this equation is the answer and the way you got it

Answers

Answer:

see explanation

Step-by-step explanation:

given

2x² - 5x - 3 = 0 ← in standard form

To factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 3 = - 6 and sum = - 5

The factors are - 6 and + 1

Use these factors to split the x- term

2x² - 6x + x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x - 3) + 1(x - 3) = 0 ← factor out (x - 3)

(x - 3)(2x + 1) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

three times the sum of a number and eight is forty-five. what equation represents this?
3(n+8)=45
3*n+8=45
24n=45

Answers

Answer:

3(n+8)=45

Step-by-step explanation:

Don't pick the 2nd one because that would have been PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Hope this helps!

Option (A) The correct equation that represents 'three times the sum of a number and eight is forty-five' is 3(n+8)=45.

The equation representing "three times the sum of a number and eight is forty-five" is 3(n+8)=45. This is derived by translating the sentence into a mathematical expression: 'three times' corresponds to multiplication by 3, 'the sum of a number and eight' translates to the expression (n+8), where 'n' is the unknown number. Lastly, 'is forty-five' establishes the equality to 45.

(4, 3) is a solution to the following system of equations:
True or false

Answers

Answer:

True

Step-by-step explanation:

2(4)+(3)=11

8+3=11

11=11

(3)=(4)-1

3=4-1

3=3

all you have to do is substitute 4 for you x-values, and substitute 3 for your y-values, and then solve the equations.

True. X= 4 and Y= 3.

2(4) + 3 = 11

Please give me the answer

Answers

Answer:

Could be (1,-1) or (1,3) depending where is UP

Best regards

What is the volume of this right rectangular prism enter your answer in the box 3.5ft 2ft 7ft

Answers

Answer:

49 cubic feet

Step-by-step explanation:

Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food

Answers

Answer:

The dog needs eat 4.6 meals

Step-by-step explanation:

Due to:

7/8 lb ----> 4 meals

1 lb --------> X meals

X = [(1 lb)*(4 meals)] / [7/8 meals]

X = 4.6 meals

Best regards

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