A parabola has x-intercepts at x=-3 and x=4. What the equation of the parabola?

Answers

Answer 1

Answer:

x² - x - 12 = 0

Step-by-step explanation:

Given the x- intercepts are x = - 3 and x = 4 , then the factors are

(x + 3) and (x - 4)

Expressing as a zero product

(x + 3)(x - 4) = 0 ← expand using FOIL

x² - x - 12 = 0


Related Questions

7. Complete the square to write
c(x)= x2 – 16x + 84 in vertex form.

Answers

Answer:

(x-8)²+20  vertex=(8,20)

Step-by-step explanation:

(x-8)² = -20

Graphing Form: y = 1(x-8)²+20    

9. Calculate the angle of elevation of the line of sight of a person 27.5 m away from a tree, whose
eye is 1.8 m above the ground, and is looking at the top of a 19.4 tree. (draw a diagram and
answer to the nearest degree)

Answers

Answer:

32.61° is the answer

Step-by-step explanation:

Tanx=17.6/27.5

What's the slope of (2, 1) (4,5)

Answers

Answer:

[tex]\displaystyle m = 2[/tex]

General Formulas and Concepts:

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (2, 1)

Point (4, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{5 - 1}{4 - 2}[/tex]Subtract:                                                                                                            [tex]\displaystyle m = \frac{4}{2}[/tex]Simplify:                                                                                                             [tex]\displaystyle m = 2[/tex]

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $57,077 , and the variable costs will be $11.75 per book. With the other method, the one-time fixed costs will total $22,459, and the variable costs will be $21.25 per book. For how many books produced will the costs from the two methods be the same?

Answers

Answer:

for 3644 produced books the costs will be the same.

Step-by-step explanation:

x = number of books

f(x) = production method 1 costs

g(x) = production method 2 costs

f(x) = 11.75x + 57077

g(x) = 21.25x + 22459

for what number of books (x) will that be the same ?

11.75x + 57077 = 21.25x + 22459

34618 = 9.5x

x = 34618 / 9.5 = 3644

Find θ. Round to the nearest degree.

hypotenuse = 14
adjacent = 5

5.1.3: Right Triangle Trigonometry

Answers

Answer:

the answer is c

Step-by-step explanation:

when solving for theta, we are given the side length adjacent to it (5) and the length of the hypotenuse ( 14).

the trigonometric function that deals with adjacent and hypotenuse values is cosine.

you can use SOH CAH TOA

stands for :

sin = opposite/hypotenuse

cos = adjacent/ hypotenuse

tan = opposite/adjacent

we dont know theta so :

cos(theta) = 5/14

cos = about 69

check :

cos(69) = 5/14

                   cos(69) = 0.35836794954

                   5/14 = 0.35714285714

Which of the
following shows the graph of y = 2e*?

Answers

you didn’t add any pictures so how could i help you with this?

What type of slope is demonstrated by the line below? 5 (-1,3) --5 5 (0.-2)
A. Zero slope
B. Positive slope
C. Undefined slope
D. Negative slope

Answers

Answer:

D. Negative slope

Step-by-step explanation:

The slope goes down from left to right, so it is a negative slope

Up from left to right is a positive slope

A vertical line is undefined

A horizontal line is zero slope

Vicky makes jewelry.she uses 42 beads for each necklace that she makes,and she has 500 beads.how many necklaces can she make explain with work?

Answers

Answer:

11

Step-by-step explanation:

Vicky used 462 beads to make 11 necklaces, she would have left 38 beads.

Answer:

He make seven necklaces

Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour. If her total traveling time was 14 hours, how far was it to the mall?

Answers

Given:

Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour.

Total traveling time was 14 hours.

To find:

The distance between Melinda's house and mall.

Solution:

Formula used:

[tex]Time=\dfrac{Distance}{Speed}[/tex]

Let x miles be the distance between Melinda's house and mall.

Melinda walked to the mall at 4 miles per hour. So, the time taken by Melinda is [tex]\dfrac{x}{4}[/tex] hours.

Speed of bus is 24 miles per hour. So, the time taken by bus is [tex]\dfrac{x}{24}[/tex] hours.

Total traveling time was 14 hours.

[tex]\dfrac{x}{4}+\dfrac{x}{24}=14[/tex]

[tex]\dfrac{6x+x}{24}=14[/tex]

[tex]7x=14\times 24[/tex]

Divide both sides by 7.

[tex]\dfrac{7x}{7}=\dfrac{14\times 24}{7}[/tex]

[tex]x=2\times 24[/tex]

[tex]x=48[/tex]

Therefore, the mall is 48 miles far from Melinda's house.

please help me out asap
(geometry)

Answers

Answer:

x = 30

Step-by-step explanation:

If A and B were parallel, then 2x + 50 and 5x - 80 are same- side interior angles and sum to 180° , then

2x + 50 + 5x - 80 = 180

7x - 30 = 180 ( add 30 to both sides )

7x = 210 ( divide both sides by 7 )

x = 30

Find the missing segment

Answers

Answer: x=78
Step by step explanation: You can find one side by subtracting 12 from 48 which gets you this set up 26/12=x/36, resulting in 12x=936, the final step is to divide both sides by 12 which provides you with the final answer of 78

Instructions: Find the measure of the missing angles in the kite

Answers

Answer:

m∠1 = 103

m∠2 = 103

Step-by-step explanation:

by definition, the opposite angles of a kite are congruent.

we know that a quadrilateral's angles add up to 360.

117 º+ 37º + 2xº = 360º

2xº = 206º

xº=103º

Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if:

a) there must be exactly 3 students on the committee

b) there must be at least one teacher and at least one student on the committee

Answers

Answer:

a) 11,880

b) 7,770

Step-by-step explanation:

The number of teachers that volunteer = 6 teachers

The number of students that volunteer = 12 students

The number of people in the committee = 5 people

a) The exact number of student on the committee = 3 student

Therefore, the number of teachers in the committee of 5 = 5 - 3 = 2

The number of teachers in the committee = 2 teachers

We get;

The number of committees that can be made = ₁₂C₃ × ₆C₂ = 792×15 = 11,880

b) When there is at least one teacher and at least one student on the committee, we have;

₁₂C₄ × ₆C₁ + ₁₂C₃ × ₆C₂ + ₁₂C₂ × ₆C₃ + ₁₂C₁ × ₆C₄ = 7,770

The number of committees having at least one teacher and at least one student = 7,770

which point is on the line that passes through point H and is perpendicular to line FG?

Answers

Answer:

The correct answer is (-6, 10).

Step-by-step explanation:

You can find the equation of the blue line and then find out which point is on the perpendicular line to that blue line but you also can figure this out visually by looking at where the points are.

Feel free to message me if you still have questions :)

Answer:

(–6, 10)

Step-by-step explanation:

Is it possible to relate cyclones to mathematics?
If yes, explain your thinking with the help of drawings (no need to use
downloaded images) What are the mathematical concepts, theorems and
shapes related to cyclones.

Answers

Answer:

Yes

Step-by-step explanation:

Statistics can perdict cyclones for example lets say that somewhere a cyclone happens almost every February then its statistically likely to happen this February too.

Celine goes to the book fair where paperback books are $2 and hardback books are $4.50. Celine buys three
paperback and 5 hardback books. How much change will Celine receive if she has $35?

7. Equation:

8. Solve:

Answers

Answer:

7. 35-(2*3+5*4.5)

8. 6.5

Find NM
--------------------------------

Answers

Answer:

[tex] MN= \boxed{15}[/tex]

Step-by-step explanation:

refer the attachment

therefore Let,

[tex]a = x - 3 + 16 = x + 13[/tex][tex]b = x - 3[/tex][tex]c = x + 3[/tex]

according to the question

[tex] \displaystyle (x - 3 ) (x + 13) =( x + 3 {)}^{2} [/tex]

simplify square and Multiplication:

[tex] \displaystyle {x}^{2} + 10x - 39 = {x}^{2} + 6x + 9[/tex]

cancel x² from both sides:

[tex] \displaystyle 10x - 39 = 6x + 9[/tex]

cancel 6x from both sides:

[tex] \displaystyle 4x - 39 = 9[/tex]

add 39 to both sides:

[tex] \displaystyle 4x = 48[/tex]

divide both sides by 4:

[tex] \displaystyle \boxed{x = 12}[/tex]

given that,

[tex] MN= x + 3[/tex]

substitute the got value of x:

[tex] MN= 12 + 3[/tex]

simplify addition hence,

[tex] MN= \boxed{15}[/tex]

Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1?

6, 1, –4, –9, –14

Answers

Answer:

f(n) = f(n - 1) - 5

Step-by-step explanation:

The recursive formula allows a term in the sequence to be found by adding the constant difference to the previous term.

Here d = 1 - 6 = - 4 - 1 = - 9 - (- 4) = - 14 - (- 9) = - 5 , then

f(n) = f(n - 1) - 5 with n ≥ 1 and f(1) = 6

What is 13/3.5 and could you give a step by step

Answers

Answer:

[tex]3\frac{5}{7}[/tex]

Step-by-step explanation:

13 ÷ 3.5

[tex]3.5=3\frac{5}{10}[/tex]

plzz help steps if possible if not its ok j=i just need to pass this class

Answers

Answer:

[tex]\text{(B) }\cos 40^{\circ}=\frac{x}{60}[/tex]

Step-by-step explanation:

In any triangle, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse (longest side) of the triangle. (a/h)

The angle marked 40 degrees has an adjacent side of [tex]x[/tex] and the hypotenuse of the triangle is 60.

Therefore, we have the equation:

[tex]\boxed{\cos 40^{\circ}=\frac{x}{60}}[/tex]

Identify the value of y.

Answers

y is 4 i believe :) sorry if its wrong

Answer:

y = 3

Step-by-step explanation:

Amy needs to use a combination of the 12-cup and 36-cup baking pans to fill the order. With only eighteen 12-cup baking pans in her shop, how many of the 36-cup baking pans does she need to complete the order? ​

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the total orders is not given.

To solve this question, I will assume a value for the total number of order.

Let

[tex]x \to 12-cup[/tex]

[tex]n_x = 18[/tex] ---- number of 12-cup

[tex]y \to 36-cup[/tex]

[tex]n_y = ??[/tex] ---- number of 36-cup

[tex]n \to[/tex] Total order

Required

Calculate [tex]n_y[/tex]

To do this, we make use of the following equation:

[tex]n_x * x + n_y * y = n[/tex]

Substitute known values

[tex]18 * 12 + n_y * 36 = n[/tex]

[tex]216 + 36n_y= n[/tex]

Collect like terms

[tex]36n_y= n - 216[/tex]

Divide both sides by 36

[tex]n_y= \frac{n - 216}{36}[/tex]

Assume the number of orders is: 540 cups

The equation becomes

[tex]n_y= \frac{540 - 216}{36}[/tex]

[tex]n_y= \frac{324}{36}[/tex]

[tex]n_y= 9[/tex]

need help with part b of the attached screenshot please

Answers

9514 1404 393

Answer:

  (b) 82.9253

Step-by-step explanation:

The first attachment shows the rectangles. The second shows the sum of their areas.

Candice bought 6 dozen eggs and broke 9 eggs how many eggs did she have left

Answers

Answer:

63

Step-by-step explanation:

12x6=72

72-9=63

the answer is 63

Answer: 63 eggs


Step 1: Find initial amount of eggs

Before we can solve for how many eggs are left, we must first find out how many eggs Candice initially had. We are told she bought six dozen eggs. Since a dozen is twelve, we can find out how many eggs she had by multiplying twelve and six. Let’s do this now.

6×12= 72

Step 2: Find solution

Now let’s solve for how many eggs Candice has left. We know that she bought 72 eggs, and that she broke 9. To find the answer, we need to subtract 9 from 72.

72-9= 63


Hope this helps! Comment below for more questions.

Classify the triangle.
obtuse
equiangular
right
acute

Answers

Answer:

acute triangle

Step-by-step explanation:

We have 3 angles that are not equal to each other

They are all smaller than 90 degrees which means they are acute angles

Answer:

Acute

Step-by-step explanation:

Acute=less than 90 degrees

Obtuse=more than 90 degrees

Right=1 side has 90 degrees

Equiangular=every side has the same degree

Therefore, it would be Acute

Gabriela was given a 15% increase in wages. If she earned $36,000 last year, what can she expect to earn this year?

Answers

She should expect to earn around £41,100

The increase in the amount of wages of Gabriela is $ 41,400

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount after increase in wages be = A

Now , the initial amount of Gabriela be = $ 36,000

And , the percentage increase in the wages = 15 %

So , the equation will be

Total amount after increase in wages A = initial amount + ( percentage increase x initial amount )

Total amount after increase in wages A = 36,000 + ( 15/100 x 36,000 )

Total amount after increase in wages A = 36000 + ( 15 x 360 )

Total amount after increase in wages A = 36000 + 5400

Total amount after increase in wages A = $ 41,400

Therefore , the value of A is $ 41,400

Hence , The increase in the amount of wages of Gabriela is $ 41,400

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

what is a = with a ~ thing on top?​

Answers

greater than or equal to

Use a calculator to determine the unknown angle, to the nearest degree, in each of the following expressions.

tan A = 5/4

cos G = 0.88

Answers

Answer:

Using a calculator;

A is approximately 51.34°

G is approximately 28.36°

Step-by-step explanation:

Part 1

The given trigonometric ratio is presented as follows;

tan A = 5/4

Therefore, the angle, A = arctan(5/4)

Using a calculator,  the value of A is found as follows;

1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)

2. Entering 5/4 into the calculator, using the keypad

3 . Selecting the arctan button to give, A ≈ 51.34°

Part 2

The given trigonometric ratio is cos G = 0.88

Therefore, G = arccos(0.88)

1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)

2. Enter 0.88 into the calculator by typing

3. Select arccos from the function menu, to give

arcos(0.88) = G ≈ 28.36°.

given the preimage and image, find the dilation scale factor​

Answers

Given:

The preimage and image of a triangle in the given figure.

To find:

The dilation scale factor.

Solution:

From the given figure it is clear that the vertices of the triangle ABC are A(-2,-2), B(-1,2) and C(2,1).

The vertices of the triangle A'B'C' are A'(-4,-4), B'(-2,4) and C'(4,2).

If a figure is dilated by factor K with (0,0) as the center of dilation, then

[tex](x,y)\to (kx,ky)[/tex]

Let the scale factor be K, then the image of point A is:

[tex]A(-2,-2)\to A'(k(-2),k(-2))[/tex]

[tex]A(-2,-2)\to A'(-2k,-2k)[/tex]

From the given figure it is clear that the image of point A is A'(-4,-4).

[tex]A'(-2k,-2k)=A'(-4,-4)[/tex]

On comparing both sides, we get

[tex]-2k=-4[/tex]

[tex]k=\dfrac{-4}{-2}[/tex]

[tex]k=2[/tex]

Therefore, the dilation scale factor is 2.

Find Point P is the incenter of DEF . point p of concurrency of the angle bisectors . find PT

Answers

PT is 8 because since P is the incenter it's equidistant from all sides.

Other Questions
Company manufactures luggage sets. sells its luggage sets to department stores. expects to sell luggage sets for each in and luggage sets for each in . All sales are cash only. Prepare the sales budget for January and February. In MNP , point Q is between points M and N, and point R is between points N and P. Point H is the incenter of the triangle, HQMN, and HR NP. QN=36 and HN=39 . What is HR ? Enter your answer in the box. In this fictional map, which elements suggest relative location?Check all that applyA. North and South PigletB West IslandC. Howe StraitD. Whye Strait ASAP please help meeeeeeeee What causes an ionic bond?A. Two ions share electrons.B. A positive ion is attracted to a negative ion.C. A positive ion is attracted to a positive ion.D. Two atoms share electrons. A small object with mass 0.20 kg swings as a pendulum on the end of a long light rope. For small amplitude of swing, the period of the motion is 3.0 s. If the object is replaced by one with mass 0.400 kg, what is the period for small amplitude of swing? (a) 1.5 s (b) 3.05 (c) 6.0 s (d) 12.0 s (e) none of the above answers Since lim n infinity (.............) = ........... Cules son unas razones para visitar a Colombia? (1 point) What was the second capital of the colonies A wire, 20m long, is heated from a temperature of 5C to 55C. If the change in length is 0.020m, calculate the linear expansivity of the wire. Read this stanza from The Road Not Taken. What does the speaker predict? I shall be telling this with a sighSomewhere ages and ages hence:Two roads diverged in a wood, and II took the one less traveled by,And that has made all the difference. How many digits does the flexor digitorum superficialis control? Solve for x. Round to the nearest tenth of a degree, if necessary. Please HELP! Under Section 1557, 2020 Final Rule issued during the Trump Administration sex was initially defined____________ The base and height of a right triangle are 20 inches and 15 inches. Find the length of the hypotenuse. Angels descend from the teaven.(find the antonym of the bold word.) which photo synthetic process can occur at night?A.the reaction at photosystem 1B.the formation of NADHC.the calvin cycle D.the reaction at photosystem 2 When a Select Case statement executes, the value of the test expression is compared with the values that follow each of the _______ keywords. John is a typical student. He usually on the lessons.A.pays attentionB.concentratesC.does D.understands Write a program that asks the user for the name of their dog, and then generates a fake DNA background report on the pet dog. It should assign a random percentage to 5 dog breeds (that should add up to 100%!)