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

find the distance between (-6,4) and (-2,1)

Answers

Answer:

[tex]d=2.65[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]

Simply plug in your 2 coordinates into the formula to find distance d:

[tex]d=\sqrt{(-2-(-6))^2-(1-4)^2}[/tex]

[tex]d=\sqrt{(-2+6))^2-(-3)^2}[/tex]

[tex]d=\sqrt{(4)^2-9}[/tex]

[tex]d=\sqrt{16-9}[/tex]

[tex]d=\sqrt{7}[/tex]

[tex]d=2.65[/tex]

Which of the following expressions are equivalent to this expression: -1(0) = ?
-1[4 + (-4)]
-1[4 + (4)]
1 + [4 + (-4)]
-11-4+ (-4)]​

Answers

Answer:

a

Step-by-step explanation:

trust

Answer:

A

Step-by-step explanation:

Find the distance between (-8,-2) and (6,-1)

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{197} \: \: units}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( -8 , -2 ) be ( x₁ , y₁ ) and B ( 6 , - 1 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 - ( - 8))}^{2} + {( - 1 - ( - 2))}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 + 8)}^{2} + {( - 1 + 2)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(14)}^{2} + {(1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{196 + 1}}} [/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ \sqrt{197 \:} \: units}}} [/tex]

Hope I helped!

Best regards! :D

combining like terms with negative coefficients and distribution
-5(3x+10)-2(4x-5) ?

Answers

Answer:

23x-40

Step-by-step explanation:

(-5x10) (-2x-5)

v

-5(3x+10)-2(4x-5)

v v v v

-15x -50 -8x 10

combine like terms

-15x-8x= 23x ( 2 negatives make a positive)

-50+10= -40

23x-40

What is the answer to (10^4)(5^2)^3 divided by (10^3)(5^3)

Answers

Answer:

19531250

By divided it

If he watches all the movies that are 1 3/4 hours long how long will it take

Answers

It will take 10 and 30 mins

If a person walks 1/4 mile in 10 minutes, how far will that person walk in one hour

Answers

prettier sure it’s 69

Answer:

the answer is 1 whole and 1/2

Step-by-step explanation:

1 and 1/2

If you multiply -13 by itself 35 times will the answer be negative?

Answers

Answer:

Yes, the answer is -972786042517719014174576083150881262357

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

-9.7278604e+38

thats what it would equel

Find two rational number and two irrational number between 1 /3 and 1 / 4

Answers

Answer:

Step-by-step explanation:

1/3 and 1/4

LCM=12

1/3*4/4 and 1/4*3/3

4/12 and 3/12

4/12*10/10 and 3/12*10/10

40/120 and 20/120

=33/130,38/120.............etc

If these numbers represent temperatures in degrees Celsius, the coldest is
?
7, -3, 1/2, -0.8, 0.8,
-2,-1/10

Answers

Answer:

-3

Step-by-step explanation:

it is the smallest number on a number line which is kind of what a thermometer is

Answer:

It is -3 because I took the assignment test.

Step-by-step explanation:

The person who answered the question before me is correct.

If 2x-3y+5-(x-3y)=11-2x, what is the value of x?

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]2x-3y+5-\left(x-3y\right)=11-2x[/tex]

Remove brackets and flip the sign in the brackets:

[tex]2x-3y+5-x+3y=11-2x[/tex]

Group the similar terms together:

[tex]-3y+3y+2x-x+5=11-2x[/tex]

Add/subtract the terms:

[tex]x+5=11-2x[/tex]

Subtract 5 from both sides:

[tex]x+5-5=11-2x-5[/tex]

[tex]x=-2x+6[/tex]

Add 2x to both sides:

[tex]x+2x=-2x+6+2x[/tex]

[tex]3x=6[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{6}{3}[/tex]

[tex]x=2[/tex]

If -2 and 3 are zeroes of quadratic polynomial xsquare + (a+1)x+b then find the value of and b

Answers

Answer:

a = - 2, b = - 6

Step-by-step explanation:

Substitute the values of the zeros into the polynomial and equate to zero.

x² +(a + 1)x + b

x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is

4 - 2a - 2 + b = 0

2 - 2a + b = 0 ( subtract 2 from both sides )

- 2a + b = - 2 → (1)

x = 3 → 3² + 3(a + 1) + b = 0, that is

9 + 3a + 3 + b = 0

12 + 3a + b = 0 ( subtract 12 from both sides )

3a + b = - 12 → (2)

Subtract (1) from (2) term by term to eliminate b

5a = - 10 ( divide both sides by 5 )

a = - 2

Substitute a = - 2 into either of the 2 equations and evaluate for b

Substituting into (2)

3(- 2) + b = - 12

- 6 + b = - 12 ( add 6 to both sides )

b = - 6

Thus a = - 2 and b = - 6

13/11 = x/9 round your answer to the nearest tenth

Answers

Answer:

x ≈ 10.6

Step-by-step explanation:

Given

[tex]\frac{13}{11}[/tex] = [tex]\frac{x}{9}[/tex] ( cross- multiply )

11x = 117 ( divide both sides by 11 )

x ≈ 10.6 ( to the nearest tenth )

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

2 miles

Step-by-step explanation:

Add the total distance for biking

4 1/4+5 1/2= 9 3/4

Now add the total distance for running

3 1/2+4 1/4 = 7 3/4

Now subtract

9 3/4 - 7 3/4 = 2

2 miles

Hope this helps!

Twice the cube of a number

Answers

Answer:

2n^3

Step-by-step explanation:

n^3 represents the cube of the number n; therefore,

"twice the cube of a number" is  2(n^3) or 2n^3

The scale drawing of a rectangular city park measures 10.0 cm by 5.0 cm. The scale of the drawing is 1.0 cm = 4.5 m. What is the area, in square meters, of the park?

Answers

Answer:

2250m^2

Step-by-step explanation:

In this exercise, we are going to be converting from cm to m, since we are asked to provide our answers in meters

Given that the scale is  1.0 cm = 4.5 m

let us convert the 10cm to the actual length

1 cm------4.5m

10 cm------x

x= 4.5*10

x= 45m

Also for the 5 cm

1 cm------4.5m

5 cm------x

x= 5*10

x= 50m

Hence the area of the actual rectangular park is

45*50= 2250m^2

What does it mean when a function is one-to-one?

Answers

Let a function be defined from A to B then f is said to be one to one function if every element of domain has its unique image in co- domain . In other words, if each separate elements of set A are mapped with separate of set B then such function is known as one to one function.

Write the relation as a set of ordered pairs.

Answers

Answer:

D.) ordered pairs : {(1,-1),(2,0), (3,1)}


What happens to the copy when it is created with a scale factor greater than 1? Less than
1? Exactly 1?

Answers

Answer:

When a figure is scaled by a scale factor greater than 1, the copy is larger than the original. When the scale factor is less than 1, the copy is smaller. This means that triangles and are scaled copies of each other.

Step-by-step explanation:

Is the value of these expressions the same?
Explain.
4 x 6 - 4
4 x (6-4)

Answers

Answer:

24-4= 20

4×2= 8

Step-by-step explanation:

4 by 6 is 24 minus 4

6-4 is 2 by 4 is 8

Answer:

no

Step-by-step explaination:

first equation: well, you first do 4x6, witch is 24, then you subtract the 4, witch is: 4x6=24, 24-4= 20

second equation: since 6-4 are in bracets, you do that sum first, witch is equal to 2, then you multiply that result by 4, witch is 8, conclusion: (6-4)=2, 2x4=8

answere: 20 deos not equal to 8, so, no.

(sorry if my explaination is bad, im new here)

I don’t know the answer to 7+x=12 it is pre algebra please help me

Answers

Answer:

Answer down below!! :))

Step-by-step explanation:

For this problem, we need to ask ourselves, 7 plus what gives us 12?

7 + 5 = 12

So, therefore, X = 5

Answer:

x=5

Step-by-step explanation:

7+x=12

Minus both sides by 7

7+x=12

-7     -7

=0     =5

drop the x

x=5

I hope i could be of help to you! You're Welcome!

-4C - 6 - 3 + 2c - 60 + 15

Answers

Answer:

-2x -54 here is the answer

show the work on how to answer -3|x|=-24

Answers

Answer:

x=8  x=-8

Step-by-step explanation:

-3|x|=-24

Divide each side by -3

-3|x|/-3=-24/-3

|x|=8

There are 2 solutions a positive and a negative

x=8  x=-8

Isolate the variable by dividing each side by factors that don’t contain the variable
x=8,-8

Which fraction is not in simplest form?
10/21

Answers

it’s 4/6 the last one

It would be the last bubble, 4/6

hope I helped ya

Need help please. Please help me.

Answers

Answer:

[tex]\frac{5}{14}[/tex]

Step-by-step explanation:

It's important to note here that fractions are just another way of representing division.

Therefore, [tex]\frac{\frac{1}{4}}{\frac{7}{10}}[/tex] is the same thing as [tex]\frac{1}{4} \div \frac{7}{10}[/tex].

To divide two fractions, we multiply by the reciprocal.

[tex]\frac{1}{4} \cdot \frac{10}{7}[/tex]

We can now multiply the numerators and denominators.

[tex]1\cdot 10 = 10\\7 \cdot 4 = 28\\\\\frac{10}{28}[/tex]

We can simplify this fraction by dividing both the numerator and denominator by 2.

[tex]10\div 2 = 5\\28 \div 2 = 14[/tex]

So, [tex]\frac{5}{14}[/tex].

Hope this helped!

x=40 and y=70 find value of z

Answers

Answer:

X=40 and y=70 if you add z you get 110 but I'm not really sure about this answer so you can also subtract it you get 30

Step-by-step explanation:

help meeeeeeeeeeeeeeeee plz

Answers

Answer:

a 10.21

Step-by-step explanation:

because 20 - 9.79 = 10.21

Answer:

the ans in the third one,

10.21, it shows the change

Step-by-step explanation:

20.00=c+9.79

so Pablo has 20.00 and he has to use 9.79

so if u add the change and the money he has to use, will be the money he has right now

so c = the change

so...

20.00=c+9.79

20.00-9.79=c

(so if u subtract the amount of money pablo has to pay from the money he has will be the change he will get)

10.21=c

Two rectangles are similar. If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches, by what factor was the first rectangle changed?

Answers

Answer:

3.2

Step-by-step explanation:

3.2/1

Predict how much money can be saved without having a negative actual net income. Monthly Budget Budgeted Amount Actual Amount Income Wages $1025 $675 Expenses Rent Utilities Food Cell Phone Savings $300 $100 $175 $75 $300 $300 $100 $200 $75 $____ Net Income $75 $____ a. It is not possible to save any money this month without having a negative actual net income. b. $350 can be saved resulting in an actual net income of $0. c. $200 can be saved resulting in an actual net income of $75. d. Because there is a $75 budgeted net income, that $75 can be put towards savings.

Answers

Answer:

a. It is not possible to save any money this month without having a negative actual net income.

Step-by-step explanation:

Answer:

Predict how much money can be saved without having a negative actual net income.

a.   It is not possible to save any money this month without having a negative actual net income.<<<---CORRECT

b.   $350 can be saved resulting in an actual net income of $0.

c.   $200 can be saved resulting in an actual net income of $75.

d.   Because there is a $75 budgeted net income, that $75 can be put towards savings.

Step-by-step explanation:

See pic. Edge 2021

How many terms are in the expression? 4x+3x-2y,3y?​

Answers

There are 4 terms. The 4 terms are 4x, 3x, -2y, and 3y. They’re the invidual expressions separated by a + or - sign
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