Write the quadratic equation whose roots are -3 and 4 and whose leading coefficient is 4

Answers

Answer 1

Answer:

[tex]4x^2 -4x - 48 = 0[/tex]

Step-by-step explanation:

Given

[tex]x= -3 \ or\ 4[/tex] -- roots

[tex]n= 4[/tex] --- leading coefficient

Required

Calculate the quadratic equation

[tex]x= -3 \ or\ 4[/tex]

Split to 2:

[tex]x = -3\ or\ x = 4[/tex]

Equate both to 0

[tex]x +3 = 0\ or\ x - 4= 0[/tex]

Multiply both together:

[tex](x + 3) * (x - 4) = 0 * 0[/tex]

[tex](x + 3) * (x - 4) = 0[/tex]

[tex]x^2 -4x +3x - 12 = 0[/tex]

[tex]x^2 -x - 12 = 0[/tex]

Multiply both sides by the leading coefficient, n

[tex]n * [x^2 -x - 12] = 0 * n[/tex]

[tex]4 * [x^2 -x - 12] = 0 * 4[/tex]

[tex]4 * [x^2 -x - 12] = 0[/tex]

Open brackets

[tex]4x^2 -4x - 48 = 0[/tex]


Related Questions

The degree measure of an angle in a right triangle is x, and sin x = 0.354, which of the following expressions is also equal to 0.354?

Answers

What are the expressions?

Answer:

cos(90° -x), cos(45° -x), cos(x), and cos(x- 45°) that's how mine looks like anyways

Step-by-step explanation:

Which number is greater in the following inequality: x > 5 ? *

Answers

Answer:

.

Step-by-step explanation:

Answer: I believe it is 5

Step-by-step explanation: Because that's what the symbol is showing

Find the area inside the square and outside the circle. ​(Simplify your answer. Type an exact answer in terms of pi​.)

Answers

9514 1404 393

Answer:

  (676 -169π) ft²

Step-by-step explanation:

The area of the square is ...

  A = s² = (26 ft)² = 676 ft²

The area of the circle is ...

  A = πr² = π(13 ft)² = 169π ft²

Then the shaded area is ...

  (676 -169π) ft²

what is the answer to 1\2÷3​

Answers

Answer:

0.16666666666

Step-by-step explanation:

1/2 ÷ 3

1/2/3

0.16666666666

Or

1/2 = 0.5

0.5 ÷ 3

0.16666666666

3/2 or 1.5. You have to multiply by the reciprocal.

2/8=__x1/8. i need help plssssssssssss

Answers

Answer:

2

Step-by-step explanation:

Pancake Palace puts a pint of maple syrup on each one of their 16 tables. The owner is filling the syrup bottles before the restaurant opens. If the bottles are half full, how many quarts would he need to fill the bottles?

Answers

Answer:

64 quarts of maple syrup needed

Step-by-step explanation:

There are a total of 2 quarts in a 1 pint. Therefore, since there are a total of 16 tables and each one has 1 pint, then there are a total of 16 pints in the restaurant. If we multiply this by 2 we get the total amount of quarts of maple syrup in all of the tables

16 * 2 = 32 quarts of maple syrup

Since the bottles are only half full we need to multiply this amount by 2 in order to get the total syrup needed to have all of the bottles filled completely.

32 * 2 = 64 quarts of maple syrup needed

Answer:

4 Quarts

Step-by-step explanation:

You need to find how much maple syrup the owner needs to fill the bottles. But first, you need to find how much syrup the bottles hold in all.

There are 16 bottles. Each bottle holds 1 pint of maple syrup. So, the bottles hold a total of 16 pints of syrup.

Now, find how much maple syrup the owner needs. The bottles hold a total of 16 pints of syrup. Because they are half full, divide by 2.

16÷2=8

The owner needs 8 pints of maple syrup, but the problem asks about quarts. So, find how many quarts are equal to 8 pints. There are 2 pints in a quart, so divide by 2.

8÷2=4

The owner needs 4 quarts of maple syrup to fill the bottles.

Please help ASAP pleeasassseee

Answers

X is equal to 37.6 degrees

5. To get into the movies there is an $7.50 admission, but on Mondays the tickets
are 20% off. Find the sale price. *

Answers

Answer:

6.00

Step-by-step explanation:

7.50 x 20% = 1.50

7.50 - 1.50 = $6.00

please help me find the value of H and A

Answers

the value of a= 12 h= 14

Question 1 (10 points) What is the sum of two fractions: 3/4 + 1/6​

Answers

Answer: 11/12 or 0.916

Step-by-step explanation: hope this helps!

−3x+6=39

What is the value of x?

Answers

Answer:

x=-11

Step-by-step explanation:

Answer:

X = -11 Hope this helps, work will be in comments

please help i really need it i have been working on this for the past 42 minutes

Answers

For graphing use the website Desmos, it gives you the answers for graphing

I need help quick!!!!!!!!!!!!

Answers

Answer:

f(x)=2sin(2x)+4

Step-by-step explanation:

Answer:

f(x)=2sin(x)-4

Step-by-step explanation:

I need help with this ASAP please help me with all of them this is for a grade

Answers

Answer:

4, 26, 18, 3, 44, 65,99,6,128,28

<, =,=, <

Step-by-step explanation:

pro tip absolute vale just means the distance from 0

Which set of three angles could represent the interior angles of a triangle?
49, 59º. 72
O 34, 45°, 11°
O 24.51, 15°
O 45°, 70°, 85°

Answers

A. 49°, 59°, 72°

Because this is the only one that equals 180° which is the sum of a triangle

Rewrite without absolute value for the given conditions: y=|x-3|+|x+2|-|x-5|, if 3 is smaller than x which is smaller than 5. Sorry for reposting, there were some glitches. Please do not put links.

Answers

9514 1404 393

Answer:

  y = 3x -6

Step-by-step explanation:

The three turning points of the terms divide the graph into 4 pieces. We can consider what functions apply in each piece.

x < -2

All terms are negated:

  y = (3 -x) -(x +2) -(5 -x) = -x -4

-2 < x < 3

The first and last terms are negated:

  y = (3 -x) +(x +2) +(x -5) = x

3 < x < 5

The last term is negated:

  y = (x -3) +(x +2) +(x -5) = 3x -6

5 < x

No terms are negated:

  y = (x -3) + (x +2) -(x -5) = x +4

_____

In the region of interest, the equation simplifies to y = 3x -6.

The bake sale raised $60.00. If each cookie cost $0.75, how many cookies were sold
Pls help help help.

Answers

Answer:

80cookies

Step-by-step explanation:

60 / .75 = 80cookies

good luck, i hope this helps :)

Answer:  80 cookies were sold.

Step-by-step explanation:

To solve this, we divide the amount of money they earned by the amount of money each cookie cost. The answer is 80.

Line r and m are parallel. Find the value of x.

Answers

Answer:

Answer:

10x-3=7x+45 corresponding angle

10x-7x=45+3

3x=48

x=48/3=16

value of x is 16.

HELP ASAP PLS HELP PLS DONT GUESS PLS HELP I BEG U DONT GUESS I’ll give BRAINLEST

Answers

It’s 9 units right and 1 unit down, so your answer is the last option!

Quadrilateral ABCD is a parallelogram with < BCA= 50 , < DCA=60, find value of

Answers

Answer:

[tex]ADC = 70[/tex]

Step-by-step explanation:

Given

[tex]BCA = 50[/tex]

[tex]DCA = 60[/tex]

See attachment for parallelogram and complete question

Required

Find ADC

From the attachment:

[tex]BCD = BCA + DCA[/tex]

[tex]BCD = 50+60[/tex]

[tex]BCD = 110[/tex]

Adjacent angles add up to 180.

So:

[tex]ADC + BCD = 180[/tex]

[tex]ADC = 180-BCD[/tex]

[tex]ADC = 180-110[/tex]

[tex]ADC = 70[/tex]

Help fast please....

Answers

Answer:

We need the question to answer plz.

Step-by-step explanation:

lol

On a map, 1 inch equals 10 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities? The actual distance between the cities is miles.​

Answers

Answer:

the actual distance between the cities is 80 miles

Step-by-step explanation:

The computation of the actual distance between the cities is shown below:

As we know that

1 inch = 10 miles

So for 8 inches it would required 80 miles

i.e.

= 8 × 10

= 80 miles

Hence, the actual distance between the cities is 80 miles

mrs cofflands social studies class gas 14 boys and 9 girls in it what is the ratio of girls to boys write it 3 different ways​

Answers

Answer:

1.  14:9

2. 14 to 9

3. 14/9

Step-by-step explanation:

Which event is closest to being fair?
Event C
Event D
Event B
Event A

Answers

Answer:

Event C

Step-by-step explanation:

because the arrow is much closer

Answer:

b

Step-by-step explanation:

The mean,median and mode are measures of center that describe the data set using a single number.

Answers

Answer:

The mean is 16

Step-by-step explanation:

15+17+20+15+13 =80

80÷5=16

Let f(x)=−|x−3|+3 and g(x)=1/2x−3. Graph the functions in the same coordinate plane.
What are the solutions to f(x)=g(x)?

Enter your answers in the boxes from smallest to largest.

x=_ and x=_

Answers

Answer:

x = 6 and -6

Step-by-step explanation:

Answer:

the answer is: 6 and -6. hope this helps!!

Step-by-step explanation:

Look at the diagram. Which of the following is a pair of vertical angles?

∠EOB and ∠EOA


∠DOC and ∠EOB


∠AOB and ∠EOA


∠AOB and ∠DOC

Answers

Answer:

∠AOB and ∠DOC

Step-by-step explanation:

Here we have that the vertical angles are equal, so we have that the answer is: ∠AOB and ∠DOC

The other three options are not equal angles.

Answer: ∠AOB and ∠DOC

Step-by-step explanation:

14 POINTS PHOTO INCLUDED
Geometry
Find the value of X

Answers

Answer:

80

Step-by-step explanation:

This quadrilateral is a kite

And the kite as its opposite angles equal

So based on this we can solve for x

[tex]100 + 100 + x + x = 360[/tex]

(360 here is the total sum of interior angke in a quadrilateral)

[tex]200 + 2x = 360 \\ 2x = 360 - 200 \\ 2x = 160 \\ x = \frac{160}{2} \\ x = 80[/tex]

Thisbis your answer hope it helps :))

the answer would be 80 :)

Kim is buying an equal number of ounces of gummy bears and chocolate drops
for her friends. Kim has $10 to spend at the store. If gummy bears cost $0.50
per ounce and chocolate drops cost $0.75 per ounce, how many ounces of each
type of candy can she buy?
ounces of each type of candy

Answers

Answer:

If you want to split the amount. You can by 5.50 dollars worth of gummy bears and 4.50 dollars worth of chocolate drops.

Gummy bears- 11oz can be purchased

Chocolate drops- 6oz can be purchased

Step-by-step explanation:

Your total will be 10 dollars

Hope that helped

Please HELP I’m being timed!!!

Answers

Answer:

C is the answer I think...

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