Write the quadratic equation whose roots are 1 and -3, and whose leading coefficient is 1.
(Use the letter x to represent the variable.).

Answers

Answer 1

Step-by-step explanation:

Factor Theorem:

"If a is a root of a polynomial, (x - a) is a zero of the polynomial."

Therefore by Factor Theorem,

we have (x - 1)(x + 3) = x² + 2x - 3.


Related Questions

maggie bought 5 5/6 yards of fabric. She used 2 3/4 yards of the fabric to make a skirt. How many yards of the fabric does she have left?

Answers

Answer: 3 1/2

Step-by-step explanation:

If this isn’t right then let me know but I think it is

5 5/6 = 35/6

2 3/4 = 11/4

35/6 - 11/4

We have to make denominators same

35x2/6x2 = 11x3/4x3

70/12 - 33/12 = 37/12

37/12 = 3 1/12



Terrell takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 40 inches long and the width of the fabric is 32 inches. What is the fabric's length?​

Answers

Answer:

Step-by-step explanation:

Answer:

From the Pythagorean Theorem

side^2 = 40^2 -32^2

side^2 = 576

side = 24 inches

Step-by-step explanation:

G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.

Answers

Answer:

▢ [tex]$\overline{DG}$[/tex] ≅ [tex]$\overline{FG}$[/tex]

▢ [tex]$\overline{DG}$[/tex] ≅ [tex]$\overline{BG}$[/tex]

▢ [tex]$\overline{GE}$[/tex] bisects [tex]\displaystyle ∠DEF[/tex]

▢ [tex]$\overline{GA}$[/tex] bisects [tex]\displaystyle ∠BAF[/tex]

Step-by-step explanation:

As you can see, angles [tex]\displaystyle BAF[/tex] and [tex]\displaystyle DEF[/tex] form two half-kites, which you should know have two pairs of congruent sides, therefore segments [tex]\displaystyle GA[/tex] and [tex]\displaystyle GE[/tex] are what you call angle bisectours, which is why segments [tex]\displaystyle FG,[/tex] [tex]\displaystyle DG,[/tex] and [tex]\displaystyle BG[/tex] are congruent.

I am joyous to assist you at any time.

(11x – 6x2 – 8)/(3x – 1)

Answers

Answer:

46.6

Step-by-step explanation:

have a good day

Maggie graphed the image of a 90 counterclockwise rotation about vertex A of . Coordinates B and C of are (2, 6) and (4, 3) and coordinates B’ and C’ of it’s image are (–2, 2) and (1, 4). What is the coordinate of vertex A.

Answers

Is there a picture of the graph?

Answer:

free points? ill answer anyway! :)

Step-by-step explanation:

maggie graphed -2-8 so the vertex could be 270 degrees and the B'-2, 2 SO now B' -4 8 and same with C' 3, -8 now instead of C' 1/4! hoped this helped!!

On a coordinate plane, line A B goes through (negative 4, 0) and (2, negative 3). Point C is at (negative 2, 2).
Which point on the x-axis lies on the line that passes through point C and is parallel to line AB?

(1, 0)
(1, 1)
(0, 2)
(2, 0)

Answers

Answer:

(2,0)

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

i got it right on edge

Solve the system below by graphing.
Y = 3-2x
-4x - 4y= -20

Answers

the point of intersection is (-2,7)

A)80
B)100
C)120
D)300

Answers

so like my brother did the math but we got something that wasn’t up there lol. but the closest one is 300

The graphs of two linear equations are shown.
y=−12x−3
y=34x−8
Which is the solution to this system of equations?

Answers

Answer:

[tex](5/46, -99/23)[/tex]

The equation for line s can be written as y = -8/7x - 4. Line t, which is perpendicular to line
s, includes the point (10, 9). What is the equation of line t?

Answers

Answer:

y=-8/7x-4

from, m1m2=-1

-8/7m2=-1

m2=7/8

again from, m=(y-y1)/(x-x1)

7/8=(y-9)/(x-10)

8(y-9)=7(x-10)

8y-72=7x-70

8y=7x-70+72

8y=7x+2

therefere,

y=7/8x+1/4

Which equation represents a nonlinear function?
A y = - 3x + 1
B y = x2 + 1
C y = $ +1
D y = 2x +
1/2

Answers

Answer: c

Step-by-step explanation:

I don’t really get this question y= 12r + 28

Answers

answer : r = y - 28 / 12

explanation :

y - 28 = 12r

y - 28 / 12 = r

switch sides ^

r = y - 28 / 12

The genetically altered spider that turned Peter Parker into Spider Man with a single bite was about 0.035 ounces. If Spider Man weighs roughly 185 pounds how many spiders does it take to have the same mass as Spider Man?

This is my first time asking a question so I hope yall can figure it out!

Answers

1036  genetically altered spiders

Lourdes plans to jog at least 1.5 miles. Write an inequality and solve an inequality to find x, the number of hours Lourdes will have to jog. She is running at 3.75 mph

Answers

Answer:

1.5 ≤ 3.75x

Step-by-step explanation:

Given that:

Distance, D to jog is atleast 1.5 miles

D ≥ 1.5 miles

x = number of hours to jog

Jog rate = 3.75 mph

Actual distance covered if jog last for X hours

Actual Distance = speed * time

Actual Distance = 3.75 * x = 3.75x

Hence,

D ≤ Actual distance

1.5 ≤ 3.75x

What is the equation of a
line that passes through
the coordinates (-2, 2) and
(-5, -4)?

Answers

Answer: y=2x+6

Step-by-step explanation:

12/3x=6/x+4 what is equal to x?

Answers

Answer:

8

Step-by-step explanation:

Cross reduce, you then get:

12x+48=18x

12x-18x=-48

-6x=-48

x=8

can someone please help me its would mean a lot and I donr know if I'm right ​

Answers

Answer:

Hi, I would say that the last one is correct answer.

9514 1404 393

Answer:

  (d)  Eighteen divided by a number m is seven point two.

Step-by-step explanation:

The symbol ÷ is read "divided by", so the math sentence ...

  18 ÷ m = 7.2

is read "eighteen divided by [a number] m is seven and two tenths."

__

"Seven and two tenths" can also be read as "seven point two."

If x and y vary inversely and x = -3 when y = 12, what is the constant of variation?

Answers

k=-36

Step-by-step explanation:

x inversely proportional to y

x=1k/y

where k = constant

x= -3, y= 12, k = ?

-3=k/12

k = -3 × 12

k = -36

I need help with this quickly

Answers

Answer:

1.25y=x

Step-by-step explanation:

If A (or y)=5 and B (or x)=4 then I think the equation will be 1.25y=x

I am sorry if I am wrong :(

But Hope this Helps ;)

Answer:

[tex]\huge \orange {\boxed {y = - \frac{5}{4}x + 5}} [/tex]

Step-by-step explanation:

Line is intersecting x and y axes at the points (4, 0) & (0, 5)

So, y- intercept (b) = 5

[tex] Slope\: (m) = \frac {(5-0)}{(0-4)} = - \frac {5}{4} [/tex]

Equation of line in slope intercept form is given as:

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

Plugging the values of m and b in the above equation, we find:

[tex]\huge \purple {\boxed {y = - \frac{5}{4}x + 5}} [/tex]

A pair of Jordans sold at retail for $180 and now sell for $330 after market. A. Is this a percent INCREASE or DECREASE, what is the PERCENT change?

Answers

Answer:

This is a percent INCREASE

The percent change is 83.33%

Step-by-step explanation:

Let us solve the question

∵ A pair of Jordans sold at retail for $180

The initial price = 180

∵ Now it sells for $330 aftermarket

The new price = 330

→ That means the new price is greater than the initial price

∵ The new price is greater than the initial price

This is a percent INCREASE

∵ The percent of change = (amount of increase ÷ initial amount) × 100%

∵ The amount of increase = new price - initial price

The amount of increase = 330 - 180 = 150

→ Substitute it in the rule of percent of increase above

∵ The percent change = [tex]\frac{150}{180}[/tex] × 100%

∴ The percent change = [tex]\frac{5}{6}[/tex] × 100%

The percent change = 83.33%

I am an odd number between 10 and 20. I can be divided by 3. What number am I?

Answers

Answer:

15

Step-by-step explanation:

15÷3=5

15 is between 10 and 20

Answer: 15

Step-by-step explanation: 15 can be divided by 3

HELP FAST DUE IN 10 minutes WILL MARK BRAINLIEST SOMEONE PLEASE HELP

Answers

Answer:

your answer is correct -7,-2

Step-by-step explanation:

Answer: the last one

Step-by-step explanation: the negitive sign gets switched

 

A company bought a total of 412feet of cable to connect 3 computers to the wall outlet. Each computer needs the same amount of cable. How many feet of cable are needed to connect each computer?

Answers

Answer:

Each computer needs 3/2, or 1.5 feet of cable

Step-by-step explanation:

Firstly, we need to divide 4 1/2 by 3

Then we can make 4 1/2 an improper fraction.

We will also multiply 4 by 2 and then add 1

= 8 + 1

= 9

But;

9/2 = 4 1/2

In order to divide 9/2 by 3/1, we will change 3/1 to 1/3 and then multiply

= 9/2 × 1/3

= 9/6

= 3/2 or 1.5

Therefore, each computer needs 3/2, or 1.5 feet of cable.

Jan wants to protect the wooden box in question 4a by painting varnish on all of the outside surfaces, including the bottom. Will a container of varnish that covers 275 square inches be enough to protect the outside surfaces of the box?

Answers

Answer:

As this question is incomplete, but we will try to solve this question by adding our own data to understand the concept of the problem.

Explanation is given below

Step-by-step explanation:

As this question is incomplete, but we will try to solve this question by adding our own data to understand the concept of the problem.

In order to answer this question we need to have the dimensions of the box.

Let's suppose there are 6 outside surfaces of the box and are equal in dimension including the bottom side which Jan wants to varnish.

So,

Let's suppose,

Surface area of the cube = 6[tex]a^{2}[/tex]

Here, Surface area = 275 square inch

Surface area of the cube = 6[tex]a^{2}[/tex] = 275 square inch

[tex]a^{2}[/tex] = 275/6 = 45.833

a = [tex]\sqrt{45.833}[/tex]

a = 6.77 inches

Now, for the amount of the varnish, we need the spreading rate of the varnish to be used on the box,

Let's suppose it is = 11 square incher per litre.

So,

Required Varnish = Surface area / Spreading rate

Required varnish = 275 / 11

Required varnish = 25 liters

If the 1 container of varnish contains 25 liters then it will be sufficient to protest the outside surfaces of the box.

(6.2N-8.3) +(9.1 + 1.4N)

Answers

Answer:

the answer is =7.6n+0.8

Step-by-step explanation:

hoped I helped

A teacher provides 4 sets of cupcakes for the class party. Each set contains 10 cupcakes. If the class has 24 students and each student eats 1 cupcake, how many are leftover?
A 0

B 40

C 16

D 24

Answers

Answer:

So 4 sets means 10 x 4=40

40 cupcakes in all

24 x 1=24 cupacakese aten.

40-24= 16

So 16 cupcakes left which i want to eat....:)

Step-by-step explanation:

The answer you’re looking for is C

2. At one time, the ratio of in-state to
out-of-state tuition at Texas A&M
University in College Station, Texas
was about 3:11. About how much was
the out-of-state tuition if the in-state
tuition at that time was about $2400?

Answers

Answer:

The out-of-state tuition would be $8800.

Step-by-step explanation:

Given that:

The ratio of in-state tuition to out-state tuition = 3:11

If the tuition of in-state is $2400.

Let,

x represent the number of out-of-state tuition.

As the relation is directly proportional.

3 : 11 :: 2400 : x

Product of mean = Product of extreme

11*2400 = 3x

3x = 26400

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{26400}{3}\\x=8800[/tex]

Hence,

The out-of-state tuition would be $8800.

How do you determine which variable to substitute in for?

Answers

Answer:

Substituting for a Variable

If you know the value that the variable is equal to, you can substitute that value in for the variable in the expression! Let's look at an example. Since we know that x=5, we can directly substitute or replace the x in the expression x+3 with a 5 to solve for y!

Step-by-step explanation:

I hope this kinda helps

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Answers

if i’m correct it’s your scratch account! about you is that you speak spanish, love good old music, horses and farm life, etc.

tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have​

Answers

Problem:

tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have

Solution:

[tex]4 \div \frac{1}{2} [/tex]

[tex] = 4 \times \frac{2}{1} [/tex]

[tex] = \frac{8}{1} [/tex]

[tex] = 8[/tex]

Checking:

[tex]8 \times \frac{1}{2} [/tex]

[tex] = 4 \times \frac{1}{1} [/tex]

[tex] = \frac{4}{1} [/tex]

[tex] = 4[/tex]

Final Answer:

8 pieces

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