Solve the quadratic equation by factoring. 2x^2+5x+3=0

Answers

Answer 1

Answer:

-0.33 repeating

Step-by-step explanation:

2x^2=4x

4x+5x+3=0

combine like terms

9x + 3 = 0

subtract 3 from both sides

9x = -3

divide 9 both sides to get the variable by itself

x = -0.33 repeating

Answer 2

Answer:

[tex]x_1=-\frac{3}{2} \\\\x_2=-1[/tex]

Step-by-step explanation:

the general fromula is

[tex](ax+b)(cx+)d)\\\\=acx^{2} +(ad+bc)x+bd[/tex]

so we need that

[tex]ac=2\\\\ad+bc=5\\\\bd=3[/tex]

for ac = 2

we only have 2 and 1

so let's say

[tex]a=2\\\\c=1[/tex]

so we now have

[tex](2x+b)(x+d)\\\\2x^{2} +(2d+b)x+bd\\\\[/tex]

and for bd = 3

we only have 3 and 1

but we need to

2d +b = 5

so we can have

b=3

and

d=1

so the factorized form is

[tex](2x+3)(x+1)[/tex]

so we come back to

[tex](2x+3)(x+1)=0[/tex]

so here we have two cases

Case 1

[tex](2x+3)=0\\\\2x+3=0\\\\2x=-3\\\\x=-\frac{3}{2}[/tex]

Case 2

[tex](x+1)=0\\\\x+1=0\\\\x=-1[/tex]

so those are our solutions


Related Questions


What is the y-intercept of the line that models this situation?

Answers

Since the slope is consistent the y intercept would be 70.

You can try drawing a line connecting the other dots and see what crosses the y intercept.

But if you want to do the actual math the formula is y=mx+b. B being the y intercept.

So find slope (rise over run) or (y2-y1)/(x2-x1) I’ll choose (1, 65) (2, 60)
m= 60-65/2-1= -5/1= -5.
Negative also means the line is sloped down.

Plug the slope back into the formula using one of the points to substitute.

Using (1,65) into y=mx+b
65=-5(1)+b
65 =-5+b
65+5=b
b= y-intercept= 70

Find the measure of angle C of △ABC, if m∠A = α, m∠B = 2α its not 10-3a(will mark brainliest!)

Answers

Answer:

[tex]C = 180 - 3a[/tex]

Step-by-step explanation:

Given

[tex]A = a[/tex]

[tex]B = 2a[/tex]

Required

[tex]Find\ C[/tex]

Since, ABC is a triangle, we have:

[tex]A + B + C = 180[/tex]

Substitute values for A and C

[tex]a + 2a + C = 180[/tex]

[tex]3a + C = 180[/tex]

Subtract 3a from both sides

[tex]C = 180 - 3a[/tex]

Answer:

180°-3α

Step-by-step explanation:

If you forgot to put the degree sign on 180, that's why you got it wrong!

Generate a number that has a digit in the hundred thousand place that is 10 times the digit in the ten thousands place.

Answers

Answer:

1000000

ten thousands place : 0

hundred thousands place : 10 x 0 = 0

HELP I WILL GIVE BRAINLIEST I NEED ANSWER ASAP!!!

Mr. Green wants to know how far he can run. He knows he can run 103,000 mm. How many miles can he run? Show all work if you want to receive credit.

I know the answer is 0.064 miles but I need the work!! help please

Answers

Answer:

1 Mile = 1609000  mm.

1.03 × 10^5 × 6.21371192237337 = 0.064 mile

103000 /1609344= 103000 mm.

Step-by-step explanation:

The beginning process is just to find the amount that mm = miles. After that you will move the decimal to then get 0.064 of a mile.

103,000 mm is 0.064 miles

So he can run 0.064 miles.

Given,

He can run = 103,000 mm

We need to find how many miles he can run.

How many mm in a mile?

1 mile = 1609344 mm

Find how many miles is 103,000 mm.

We have,

1 mile = 1609344 mm

Multiplying both sides by 103,000

103,000 x 1 mile = 103,000 mm x 1609344

Divide both sides by 1609344

( 103,000 x 1 mile ) / 1609344 = (103,000 mm x 1609344) / 1609344

0.064 miles = 103,000 mm

This means 103,000 mm is 0.064 miles.

Thus 103,000 mm is 0.064 miles

Learn more about the conversion of meters and millimeters here:

https://brainly.com/question/14699264

#SPJ2

The United States Tennis Association is researching the effect of what color the professional tennis players wear and
the number of foot faults called on them in one match. They collect data from every televised event of the year, noting
the color of the player's clothes and how many foot faults were called on the player. Which is this an example of?
-experiment
-simple random sample
-observational study
-convenience sample

Answers

Answer:

the answer is observation study

Step-by-step explanation:

Need a answer ASAP ! An explanation and answer please

Answers

Answer:

i wish i could help but im dumb

Step-by-step explanation:

SOMEONE PLEASE HELP ME QUESTION 5 2 PARTS IN THE PICTURE!!!!!

Answers

Answer:

  x ≥ 6; see below for a graph

Step-by-step explanation:

First inequality

  7x -6 > 8

  7x > 14 . . . . . . add 6

  x > 2 . . . . . . . .divide by 7

Second inequality

  3x+4 ≥ 22

  3x ≥ 18 . . . . . . subtract 4

  x ≥ 6 . . . . . . . . divide by 3

The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)

The solution to the inequalities is x ≥ 6.

__

Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.

80%
as in a decimal 80%

Answers

Answer:

0.8

Step-by-step explanation:

"percent" means "per 100" which is the same as "divide by 100."

To change a percent to a decimal, divide the percent by 100.

80% = 80/100 = 0.8

Simplify the expression (5)2.
O 25
O-10
0-25
O 10

Answers

The answer is 25
I hope I could help!

A car is traveling down a highway at a constant speed, described by the equation LaTeX: d=65td=65t, where represents the distance, in miles, that the car travels at this speed in t hours. How many miles does the car travel in 1.5 hour?

Answers

Answer: The car travels 97.5 miles in 1.5 hour.

Step-by-step explanation:

Given: A car is traveling down a highway at a constant speed, described by the equation , described by the equation [tex]d=65t[/tex], where represents the distance, in miles, that the car travels at this speed in t hours.

To find : Number of miles car travel in 1.5 hour.

Simply put t= 1.5 in the given expression , we get

65(1.5)= 97.5

That means , the car travels 97.5 miles in 1.5 hour.

Simplify the expression 3(2x - y) + 2(4x + y).

Answers

here’s the answers
14x-y

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{14x - y}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3(2x - y) + 2(4x + y)}[/tex]

Distribute 3 through the parentheses

Similarly , distribute 2 through the parentheses

[tex] \dashrightarrow{ \sf{6x - 3y + 8x + 2y}}[/tex]

Combine like terms and simplify

[tex] \dashrightarrow{ \sf{6x + 8x - 3y + 2y}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{14x - y}}}[/tex]

Hope I helped!

Best regards! :D

• The value of the expression is

Answers

Answer:
27

Explanation:
(a+b)^3
= (2+1)^3
= 3^3
= 27

I hope this helped! Please comment if you have any questions :)

Answer:

15

Step-by-step explanation:

[tex](a+b)^{3}-12[/tex]

= [tex](2+1)^{3}-12[/tex]

= [tex](3)^{3}-12[/tex]

=(27)-12

=15

solve [tex]3x\geq -9[/tex]

Answers

Answer:

You have to divide it :

[tex]3x \geqslant - 9[/tex]

[tex]x \geqslant - 9 \div 3[/tex]

[tex]x \geqslant - 3[/tex]

Algebra 1 9th grade 2/3x =-8

Answers

Answer:

x=-12

Step-by-step explanation:

2/3x=-8

Multiple both sides by 3/2

x=-24/2

x=-12

Answer:

x=-12

Step-by-step explanation:

Multiply both sides by 3/2

x=-24/2

x=-12

how do I simplify the expression

-(10)-2​

Answers

Answer:

First distribute the negative -(10)

it becomes a -10

them add the -10 and -2

and the answer in - 12 because a negative plus a negative equals a negative

Find the value of each variable by getting a quadratic equation equal to 0 first, then solve. Justify x^2 + 32 = 12x

Answers

Answer:

x = 4 ; x = 8

Step-by-step explanation:

[tex]x^2 + 32 = 12x[/tex]

bring all the terms to one side and set equal to 0

[tex]x^2 - 12x + 32 = 0[/tex]

factor the polynomial

[tex](x-8)(x-4) = 0[/tex]

set each factor equal to zero and solve

[tex](x-8) = 0 \\x - 8 = 0 \\x = 8[/tex]

[tex](x-4)=0\\x-4 = 0\\x = 4[/tex]

Answer This Question Correctly For Brainliest (Wrong Answers Will Be Reported!)

Answers

Answer:

see attached

Step-by-step explanation:

Please help!
Connor is 4 years younger than his brother.
Translate the verbal description into an equation. Use the variable c to
represent Connor's age and b to represent his brother's age.
A.c=b-4
B.b=c-4
C.b=4c
D.c=b+4

Answers

Answer:

A. c=b-4

Step-by-step explanation:

What is the value of m in the figure? In this diagram ABD~BCD

Answers

Answer:

D.  √136

Step-by-step explanation:

see attached sketch

Answer:

sqrt 136

Step-by-step explanation:

just took the a pe x

25-3x=2x help what’s x

Answers

Answer:

x=5

Step-by-step explanation:

add 3x to 2x

25=5x

then divide 25 by 5x

5=x

and flip

x=5

James is a manager for a fast food hamburger stand. He makes a straight salary of $28,000 in 2004 but will receive a $1,000 raise every year. Which of the following statements are true? Select all that apply.

Answers

Answer: $28,000

             +$1,000

               $29,000

Solve for P
5/6p + 1= 3/4p -4

Answers

hii so p is equal to -60

Answer: P= -60

Step-by-step explanation:

5/6p +1=3/4p -4

5/6p=3/4p-4.       Subtract 1 from both sides

5p=9/2p-30.        Trick( if there is a fraction multiply the denominator on both sides to make it a non fraction so life is easier, as I did I first multiply by 6)

10p=9p-60.           multiply the second denominator on both sides(multiple by 2)

P=-60.                     Subtract 9p on both sides and keep the sign and you’ll get -60

A class has 6 boys and 15 girls. What is the ratio of boys to girls?

Answers

Answer:

6/21

Step-by-step explanation:

bc thats the answer

Answer:

Simplified: 6/15 = 2/5

Step by-step explanation:

So idk which one cause this was to hard so some one please help me ✌

Answers

11/4 would be the improper version.

Answer:

11/4 the second one

multiply 2 and 4 then add 3

-5 -10=10 I need help urgently!!

Answers

Answer:

5

Step-by-step explanation:

-5 minus -10 = 5

l m a o i used a calculator. Is ur problem even -5 minus -10?

Answer: x - 15

It would be x - 15 x - 5 - 10 = x - 15 - x (subtract x from both sides)(simplify) -5 - 10 = -15= x - 15 = -15

plz help me do this qutsion its so hard

Answers

if i’m correct i believe it’s b
i think the answer is b

A colony of ants carried away 12 of your
4
muffins. That was of all of them! How
9
many are left?

Answers

The answer to your question is 8

what is
5(x+2)=7(4-x)
a.-9
b. 1.5
c 3.2
d. 9​

Answers

Answer:

c. 3.2

Step-by-step explanation:

5(x+2)=7(4-x)

5(x+2)=7(-x+4)

5x+5*2=-7x+7*4

3. If the area of the rectangle is 252 square units, find x. PLEASE I REALLY NEED HELP! THANK YOU

Answers

Answer:

are or rectangle = l*b

252= (x+2) (2x+1)

252= 2x²+x+ 4x +2

2x²+5x -250=0

(x-10) (2x+25)=0

so x=10

using sum and product method

Step-by-step explanation:

What is another name for line m in the figure below

Answers

Answer:

TV or VT

Step-by-step explanation:

A line is defined by the two points lying on an infinitely long straight paths.

From the picture attached,

There are two endless paths 'l' and 'm' which contain (R, U) and (V, T), intersecting at a point S.

Therefore, line 'm' will be represented by VT or TV.

And line 'l' will be represented by RU or UR.  

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