Write a quadratic equation with the given solutions below such that the terms of the quadratic contain no common factors.
-3,1

Answers

Answer 1

Answer:

  x² +2x -3 = 0

Step-by-step explanation:

Given the zeros of a quadratic function the factored form is easily found. There is a factor (x -p) for each zero x = p. Here, the factored form of the function is ...

  0 = (x -(-3))(x -1) = (x +3)(x -1)

In standard form, this is ...

  x(x -1) +3(x -1) = 0

  x² +2x -3 = 0 . . . . . . the terms have no common factors


Related Questions

find a9 of an= 3n-7.​

Answers

Answer:

a9=20

Step-by-step explanation:

an=3n-7

a1=3(1)-7

  =3-7

  =-4

a2=3(2)-7

   =6-7

   =-1

a3=3(3)-7

   =9-7

   =2

a=-4....a2=-1....a3=2

d=a2-a1

 =3

a9=a+(n-1)d

   =-4+(9-1)3

   =-4+8(3)

   =-4+24

   =20..

a9 = 20

Have a nice day :)

Hello everyone good morning may I get ur help in the first attachment~ marking brainliest for the right answer

Answers

Answer:

x=1.5

Step-by-step explanation:

triangle JLM is similar to triangle QST

so we know that similar triangles have proportionate sides

so..

JM/LM=QT/ST

4/(6x-3)=2/3

3*4=2(6x-3)

12=12x-6

12x=18

x=1.5

X = 1.5

On paper, I worked it out. Despite the fact that answers have already been offered, this might be used as confirmation that the answers given by other members are correct.

Have a wonderful day.

565, 961, 867, 517, 627, 714, 517, 728

What is the range of these areas in square feet?

Answers

Answer:

No Clue

Step-by-step explanation:

Activity 1 Lesson 1 Patterns, Sequences, and Rules

Answers

do it yourself. that’s a problem from a classroom meaning we can’t help you. sorry

I need helppp pleaseeeeee!!!!!!!!!!!!!!

Answers

Answer:

$5.55

Step-by-step explanation:

Austin works as an electrician. If a job requires Austin to work on weekends, the function C(t)=54t+75 represents the customer's cost, C, in dollars of working t hours on the job. What is the interpretation of the y-intercept?

Answers

Answer:

He charges a flat rate of 75, and any extra work will be 54 dollars per hour.

Step-by-step explanation:

Answer:

he charges $75

Step-by-step explanation:

Can someone please help me asap?!?! I’ll mark brainlist !

Answers

Answer: $36.80 and the difference is $9.20

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C. -16.25 inches

Step-by-step explanation:

First, we need to find out the total rainfall in the three days

0.75 + 0.75 + 0.75 = 2.25

Now, we need to subtract this number from 18.5

18.5 - 2.25 is 16.25

So, your answer is -16.25

I really hope this is right and I really hope this helps!

please get this right pleaseee

Answers

Answer:

22 is the median

the minimum is 16

idrk for number 3 or 5

the maximum is 28

idrk for 6 or 7

Step-by-step explanation:

i wrote some of the answers, all you have to do is use the box plot

The cost of renting a car for one day is $39 plus 15 cents per mile driven. In a graph of the situation, what does the cost per mile driven represent?

Answers

Answer:

It will represent the slope of the graph

Step-by-step explanation:

Here, we are interested in getting what the cost per mile driven represent

From the information, we can represent the cost as;

C = 15d + 39

In this case we have a representation of the cost using the fixed daily cost(y-intercept) and the cost depending on the number of miles driven which will change based on the number of miles.

Since it is changing, it represents the slope of the function for cost

HELP WILL GIVE BRAINLIEST!!!!

Answers

Answer:

2 x 20^2

Step-by-step explanation:

I did it on paper and looked it up to make sure

Give him brainliesttttt

find the area of the hexagon with a perimeter of 240

Answers

Answer:

5985.97

Step-by-step explanation:

A=33

2a2=3·3

2·482≈5985.96759

All real number less than 38

Answers

Hahahahaha same ^* That’s the answer

| 3х – 9| = 24
??????????????????????????????????

Answers

Answer:

X=11

Step-by-step explanation:

|3x-9|=24

is the same as

3x-9=24

which becomes

3x=33  because you add 9 to both sides

which is

x=11 because you divide by 3

The LaSalle High School senior class raised funds for an end of the year cruise getaway. The city gave them a special package for the port fees and taxes - a flat fee of $1,500 for the entire class's port fees and taxes. It costs $367 per student to board the cruise. If your class raised $16,600, how many students can attend?
HELP ME ASAP if ure not sure please dont answer

Answers

Answer:

Depends on what you think your instructor is looking for either it is 45 students, or the answer is 41.

Step-by-step explanation:

41 is the answer if you subtract the port fees from the amount raised then divided the remainder by cost per student .

AB, CD, and EF intersect at O. If CD is perpendicular to EF and m

Answers

Answer:

m(∠AOF) = 148°

Step-by-step explanation:

From the figure attached,

CD intersects line EF at a point O.

Line CD is perpendicular to the line EF.

m(∠AOE) = 32°

m(∠COE) = 90°

Since m(∠COE) = m(∠AOE) + m(∠AOC) = 90°

32° + m(∠AOC) = 90°

m(∠AOC) = 90° - 32° = 58°

m(∠AOF) = m(∠AOC) + m(∠COF)

               = 58° + 90°

               = 148°

Therefore, m(∠AOF) = 148° will be the answer.

I’m so confused help

Distribute: 7(t+4)

Answers

Answer:  7t + 28

Explanation:

Multiply the outer term 7 by each term inside the parenthesis.

7 times t = 7*t = 7t7 times 4 = 7*4 = 28

We then add up those results, combining like terms if possible.

That's how we get to 7t + 28

Answer:

7t+28

Step-by-step explanation:

multiply each term in the parentheses by 7

7t+7×4

multiply the numbers

7t+28

Which expression is equivalent to log subscript 12 baseline startfraction x superscript 4 baseline startroot x cubed minus 2 endroot over (x 1) superscript 5 baseline endfraction? 4 log subscript 12 baseline x one-half log subscript 12 baseline (x cubed minus 2) minus 5 log subscript 12 baseline (x times 1) 4 log subscript 12 baseline x one-half log subscript 12 baseline startfraction x cubed over 2 endfraction minus 5 log subscript 12 baseline 1 log subscript 12 baseline 4 x one-half log subscript 12 baseline (x cubed minus 2) minus 5 log subscript 12 baseline (x) 1 4 log subscript 12 baseline x one-half log subscript 12 baseline (x cubed minus 2) minus 5 log subscript 12 baseline (x 1)

Answers

There are four basic properties of logarithms. The solution of the logarithmic problem [tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5}\\\\[/tex] is [tex]\rm 4log_{12}\ x+\dfrac12 log_{12} (x^3-2)-5log_{12}{(x+1)[/tex].

What are the Properties of logarithms?

There are four basic properties of logarithms:

[tex]\rm log_aU+ log_aV = log_a(UV)\\\\\rm log_aU - log_aV = log_a(\dfrac{U}{V})\\\\\rm log_aU^n = n\ log_aU\\\\\rm log_ab = \dfrac{log_xb}{log_xa}[/tex]

The given logarithmic problem can be solved in the following manner,

[tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5}\\\\[/tex]

By using the division law of logarithm, [tex]\rm log_a(\dfrac{x}{y}) = log_ax - log_ay[/tex]

[tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5} = log_{12}\ {x^4\sqrt{x^3-2}}-log_{12}{(x+1)^5}[/tex]

By addition law of Logarithm, [tex]\rm log_a(xy)= log_ax+ log_ay[/tex]

[tex]\rm log_{12}\ x^4+ log_{12} \sqrt{x^3-2}}-log_{12}{(x+1)^5}[/tex]

Using the logarithmic Property, [tex]\rm log\ a^m =mlog\ a[/tex]

[tex]=\rm log_{12}\ x^4+ log_{12} \sqrt{x^3-2}}-log_{12}{(x+1)^5}\\\\=log_{12}\ x^4+ log_{12} (x^3-2)^{\frac12}-log_{12}{(x+1)^5\\\\[/tex]

[tex]=4log_{12}\ x+\dfrac12 log_{12} (x^3-2)-5log_{12}{(x+1)[/tex]

Hence, the solution of the logarithmic problem [tex]\rm log_{12}\dfrac{x^4\sqrt{x^3-2}}{(x+1)^5}\\\\[/tex] is [tex]\rm 4log_{12}\ x+\dfrac12 log_{12} (x^3-2)-5log_{12}{(x+1)[/tex]

Learn more about Logarithms:

https://brainly.com/question/7302008

which statements are true when solving x^2=81

Answers

Answer: x

2

=

81

can be written as

x

2

81

=

0

by property ,

a

2

b

2

=

(

a

+

b

)

(

a

b

)

The expression becomes

x

2

(

9

)

2

=

0

(

x

9

)

(

x

+

9

)

=

0

equating each of the terms with zero we obtain the solution

x

9

=

0

and

x

+

9

=

0

the solutions are

x

=

9

or

x

=

9

Step-by-step explanation:

Answer:

A) Take the square root of both sides to solve

E) x = ±9

Step-by-step explanation:

Solve for x
Show work please

Answers

Answer:

[tex]\tt x=5[/tex]

Step-by-step explanation:

[tex]\tt 18x-5=13x+4x+1-11[/tex]

[tex]\tt 18x-17x=15-10[/tex]

[tex]\tt x=5[/tex]

~

(3)m+2= (-3)4 . 9 solve for m

Answers

Answer:

m = - 6.9

Step-by-step explanation:

3 × (m + 2) = - 3 × 4.9

3m + 6 = - 14.7

3m = - 20.7

m = - 6.9

what are the solutions of the quadratic equation 4x^2-8x-12=0

Answers

Answer:

         x₁ = -1,   x₂ = 3

Step-by-step explanation:

[tex]4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3[/tex]

Ryan walked 2 1/2 miles in 3/4 hours find unit

Answers

Answer:

2/3

Step-by-step explanation:

Divide 1/2 by 3/4 to get 1/2 x 4/3 = 2/3 mph

Among all pairs of numbers with a sum of 39, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms

Answers

Answer:

39/2, 39/2 give a maximum product.

Step-by-step explanation:

Let 1 number be x then the other is 39-x.

Product P = x(39 - x)

= 39x - x^2.

Finding the derivative:

dP/dx = 39 - 2x

When P is a maximum or minimum dP/dx = 0, so

39 - 2x = 0

x = 39/2.

The 2 numbers are both 39/2.

help please do quickly

Answers

Answer:

1.79m^2

Step-by-step explanation:

(0.1×1)+2(0.5×0.8×0.1)+(1×0.8)+(1×0.81)

=1.79

Answer:

17.5m

Step-by-step explanation:

You gotta do this:

0.81 x 1 = Top area

((0.8 x 0.1) ÷ 2) x 2 = left side and right side area

1 x 0.1 + Back Area

0.8 x 1 = Bottom

Add them all together and remember that the final answer has to be in metres, you get - 17.5m

A store pays $8 for a pool noodle. The markup is 20%. What is the selling price?

Answers

Answers:  he markup price is $9.6

You will be paying 120% which is 1.20 as a decimal

So you multiply. 8(1.20) which gives you $9.6

Step-by-step explanation: thank you for letting me answer this question hope it's helpful

Circle the irrational number in the list below. 7.27, 5, 9215, 2196

Answers

Answer:

7.27 is the irrational number

Step-by-step explanation:

7.27 can not turn into a fraction because it keeps on repeating

There are no Irrational numbers in the list.

We have a set of numbers - 7.27, 5, 9215, 2196.

We have to circle out the Irrational ones.

What are Irrational Numbers?

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction - p/q where p and q are integers.

According to the question, we have -

7.27, 5, 9215, 2196

Now -

7.27 =  [tex]$\frac{727}{100}[/tex]  → It is Rational.

5 = [tex]$\frac{5}{1}[/tex] → It is Rational.

9215 = [tex]$\frac{9215}{1}[/tex] → It is Rational.

9215 = [tex]$\frac{2196}{1}[/tex] → It is Rational.

All the numbers are Rational as they can be expressed in the form of p/q.

Hence, there are no Irrational numbers in the list.

To solve more questions on Rational and Irrational numbers, visit the link below-

https://brainly.com/question/20400557

#SPJ2

Solve for x and y
Y=2/3x-2 y=-x+3

Answers

Answer:

[tex]y=0,\:x=3[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}y=\frac{2}{3}x-2\\ y=-x+3\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}y=-x+3[/tex]

[tex]\begin{bmatrix}-x+3=\frac{2}{3}x-2\end{bmatrix}[/tex]

Isolate x for -x+3=2/3x-2: x=3

[tex]\mathrm{For\:}y=-x+3[/tex]

[tex]\mathrm{Substitute\:}x=3[/tex]

[tex]y=-3+3[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]y=0[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]y=0,\:x=3[/tex]

The ratio of dogs to cats in a zoo choir is 4 : 3. There are 6 more dogs than cats. If another 2 cats join the choir, what will be the new ratio of dogs to cats?

Answers

Answer:

6:5

Step-by-step explanation:

c = number of cats

d = number of dogs

d = c+6

Set up a ratio:

4/3 = d/c

Then replace d with c+6, so your equation only has one variable.

[tex]\frac{4}{3} = \frac{c+6}{c}[/tex]

Cross multiply

4c = 3(c+6)

Multiply everything in the parentheses by 3.

4c = 3c + 18

Subtract 3c from both sides

4c - 3c = 18

c = 18

d = c + 6 = 18 + 6 = 24

If 2 more cats join, then you will have 20 cats and 24 dogs, so the ratio of dogs to cats will now be 24:20.  Divide each side by 4 for a ratio of 6:5.

Find a4 in the sequence given by {a1=-3 and an=an-1+7

Answers

Answer:

a4 = -12

Step-by-step explanation:

Other Questions
For the following assessment, you must demonstrate your understanding of alternate plot structures by writing your own version of one of the fairy tales provided.Rapunzel is the story you chose.Select two of the techniques from this lesson.Parallel plotEpisodic plotIn medias resFlash forwardFlashbackDream sequenceRewrite part or all of the fairy tale using the two techniques you have selected.Include one paragraph in which you explain which techniques you have selected and how you put them to use in your re-write. Write three steps that will result in 4 (x+2)? fill in the corresponding transcription and translation for each organism and determine the amino acid for which the dna is coded and the organism that would result from their protein synthesis Which is the closest synonym for the word dramatically?A. slightlyB. inconvenientlyC. recklesslyD. tremendously Find the midpoint: (-8,6), (5,-7) Describe the appearance of the data from the seismograph. At approximately what time did the largest earthquake occur? The enthalpy of reaction for the combustion of C to produce CO2(g) is -393.5 kJ/mol and theenthalpy of the reaction of CO to produce CO2 is -283.0 kJ/mol as shown in the reactions:(1) C(S) + O2(g) CO2(g) H=-393.5 kJ(2) CO(g) + 1/2O2(g) CO2(g) H=-283.0 kJ Based on these data, calculate the enthalpy of combustion of C to produce CO:(3) C(S) + 1/2O2(g) CO(g) H=? Solve this please and send The root word crani- means skull and the suffix -itis means inflammation. A person with endocranitis would most likely need treatment for which of these? inflammation above the skull inflammation inside the skull inflammation in front of the skull inflammation below the skull What are some possible reasons that the foreign born population increased increased in some states but decreased in others from 2005 to 2012? A line passes through the point (7,9) and has a slope of 2.Write an equation in slope-intercept form for this line. What is the slope of a line that is perpendicular to the liney=4/5x + 7 1. Based on the score you got in our previous activity, do you consider yourself physically fit? Explain your answer. 2. Why is it important to be physically fit? 3. What do you think are the implications of having a physically fit body? 4. What can you do to become physically fit? #5 promote(s) sodium retention.A. CortisolB. AndrogensC. GlucocorticoidsD. Mineralocorticoids What is the length of the radius? Identify a character trait that describes Victor from Seventh Grade by Gary Soto. Find two pieces of text evidence to support the character trait you selected. After writing, highlight according to RACECES. 15. What is the value of x?x(x + 10)(3x - 5)X = Read the excerpt from "My Lord Bag of Rice." He had only gone a few steps when he heard some one calling him from behind. On turning back he was much surprised to see that the monster dragon had entirely disappeared and in its place was a strange-looking man, who was bowing most ceremoniously to the ground. His red hair streamed over his shoulders and was surmounted by a crown in the shape of a dragon's head, and his sea-green dress was patterned with shells. Hidesato knew at once that this was no ordinary mortal and he wondered much at the strange occurrence. What element of a folktale does this excerpt contain? A group of friends was eating in a restaurant the bill is $415.28 and they paid 18% tip, what was the total? Which expression is a trinomial of degree 1?6 + x y3x y