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

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

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

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:

Answer:

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

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

It would be the last bubble, 4/6

hope I helped ya

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

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!

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]

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

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!

Answer:

3.2

Step-by-step explanation:

3.2/1

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!

Answer:

-2x -54 here is the answer

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

Answer:

Yes, the answer is -972786042517719014174576083150881262357

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

-9.7278604e+38

thats what it would equel

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.

Answer:

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

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:

Answer:

a

Step-by-step explanation:

trust

Answer:

A

Step-by-step explanation:

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]

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.

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

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

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)

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 )

Answer:

the answer is 1 whole and 1/2

Step-by-step explanation:

1 and 1/2

Answer:

19531250

By divided it