Ltd say we're given the quadratic equation x + 2x2 - 4 = -7x + 6

Enter your answers separated by a comma

Ltd Say We're Given The Quadratic Equation X + 2x2 - 4 = -7x + 6Enter Your Answers Separated By A Comma

Answers

Answer 1

Answer:

x=1 ,x= -5

Step-by-step explanation:

x+2x2-4=-7x+6

2x2+x+7x-4-6=0

2x2+8x-10=0

divide through out by 2 to reduce the equation

x2+4x-5=0

by using formula method

x=[-b+\-√b2-4ac]/2a. a=1, b=4 c=-5

x=[-4+\-√4^2-4*1*-5]/2*1

x=[-4+\-√16+20]/2

x=[-4+\-√36]/2

x=[-4+\-6]/2

x=(-4+6)/2 ,x=(-4-6)/2

x=2/2 , x=-10/2

x=1 , x=-5

Answer 2

The number of solutions to the equation are two and Real in nature. The solutions are x = 1 and x = - 5.

We have the following quadratic equation -

x + [tex]2x^{2}[/tex] - 4 = -7x + 6

We have to determine its solutions.

What is the Quadratic formula to find the roots of a quadratic equation ?

The Quadratic formula is -

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

According to question, we have -

x + [tex]2x^{2}[/tex] - 4 = -7x + 6

Rearranging the equation -

[tex]2x^{2}[/tex] + x + 7x - 4 - 6 = 0

[tex]2x^{2}[/tex] + 8x - 10 = 0

Using the quadratic formula -

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-8\pm\sqrt{64-(-80)}}{4}$[/tex]

[tex]$x=\frac{-8\pm\sqrt{144}}{4}$[/tex]

[tex]$x=\frac{-8 +12}{4}[/tex]       and         [tex]$x= \frac{-8-12}{4}[/tex]

x = 1         and       x = - 5

Hence, the number of solutions to the equation are two and Real in nature. The solutions are x = 1 and x = - 5.

To solve more questions on Quadratic Equations, visit the link below -

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Related Questions

I really need help my dad will get really mad if i dont get this one
how are 29.35 and 2.935 related

Answers

They are both decimal numbers.

Answer:

They are the same since the only thing that changed is the decimal placement.

Step-by-step explanation:

What is the slope of a line that is parallel to the given equation?
y -- 2 = 5 (x + 1)

Answers

Answer: Slope = 10.000/2.000 = 5.000

x-intercept = 7/-5 = -1.40000

y-intercept = 7/1 = 7.00000

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-2-(5*(x+1))=0

STEP

1

:

Equation at the end of step 1

(y - 2) - 5 • (x + 1) = 0

STEP

2

:

Equation at the end of step 2

y - 5x - 7 = 0

STEP

3

:

Equation of a Straight Line

3.1 Solve y-5x-7 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-5x-7 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

y-intercept = 7/1 = 7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/-5 Our line therefore "cuts" the x axis at x=-1.40000

x-intercept = 7/-5 = -1.40000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 17.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 17.000 - 7.000 = 10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 10.000/2.000 = 5.000

Geometric figure: Straight Line

Slope = 10.000/2.000 = 5.000

x-intercept = 7/-5 = -1.40000

y-intercept = 7/1 = 7.00000

Express the area of the entire rectangle

Answers

Answer:

area of rectangle = l*b

=x+8*x+3

=(x+3)(x+8)

=(x square + 11 x +24)

Step-by-step explanation:

answer is (xsquare + 11 x +24)

What is the slope of the line that passes through the pair of points (-4, 1) , (5, 4)

Answers

Answer:

the answer is 5/9

Step-by-step explanation:

Answer:

on slope calculator i got 0.3?

Step-by-step explanation:

sorry if it aint right

A square has an area of 121 yd^2. What is the length of each side?

answer in yd

Answers

Answer:

11 yards.

Step-by-step explanation:

The area of a square is A= s²

Since the area is given as 121, you just take the square root.

[tex]\sqrt{121} = s^{2}[/tex]

s= 11 yards

An expression is shown. 2/3+1/5 What is the value of the expression?

Answers

Answer:

2.5 1/2

Step-by-step explanation:

The ratio of girls to boys in Jaime's chorus is 2 to 4. If there are 25 girls in her chorus, how many boys are there? *

Answers

Answer:

50 boys

Step-by-step explanation:

2/4 = 1/2

25*2=50

Which of the following situations are equal to 6? Select all that apply.

A) 30% of 10
B) 60% of 15
C) 50% of 12
D) 20% of 30
E) 75% of 8

Answers

B, C, and E are your correct answers because 12*0.50=6, 30*0.20=6, 8*0.75=6

Answer:

C)  

D)

E)

Step-by-step explanation:

30% of 10 = [tex]\frac{30}{100}*10 = 3 \neq 6\\\\[/tex]

B) 60% of 15 = [tex]\frac{60}{100}*15 = \frac{6}{10}*15=\frac{3}{5}*15=3*3 = 9 \neq 6\\[/tex]

c) 50% of 12 = [tex]\frac{50}{100}*12=\frac{1}{2}*12=6\\\\[/tex]

D) 20% of 30 = [tex]\frac{20}{100}*30=\frac{1}{5}*30= 6[/tex]

E)75% of 8 = [tex]\frac{75}{100}*8 = \frac{3}{4}*8=3*2 = 6[/tex]

11.9 x 22.1? What’s the answer?

Answers

Answer:

11.9* 22.1= 262.99

I would honestly use a calculator for math like this, lol.

Answer:

262.99

Step-by-step explanation:

hope it helps. :)

Simplify

26.08 + (-6)^2 • (3.4-8.9)÷9

A.) 4.08
B.) 5.62
C.) -7.62
D.) -9.14

Answers

The answer is A.) 4.08
The answer is 4.08!!!

Cory has only dimes in his piggy bank. A dime is worth 10 cents. Which could be the value of the money in Cory's piggy bank?

Answers

Answer:

It depends on how many dimes are in the piggy bank. It could be any answer that didn't have a 5 in the tenths place. For example, it couldn't be a number like $1.05 because any whole number multiplied by 10 would end in a 0

Find the measure of the exterior angle.​

Answers

By exterior angle property

[tex]j = 90 + 40[/tex]

[tex]j = 130[/tex]

which graph shows a negative slope and a positive y-intercept?

Answers

Answer:

it's the bottom right!! TRUST MR I PROMISE

Step-by-step explanation:

IT IS THE ONLY LINE GOING DOWN which proves it's negative!!!

Which equation represents the relationship between the x -values any the y -values in the table?

Answers

The answer is D: y=6x+4

If you purchase a Notebook computer: Regular price $1598, now 20% off
i) Calculate the discount. You would save $
ii) calculate the sale price, before taxes. The final sale price is $


I WILL MARK BRAINEST!!

Answers

Answer:

the sale price would be $319.60 and the final price would be $1278.40

Step-by-step explanation:

At an electronics store, the price of a tablet is marked down 15% to $212.50.

What was the price of the tablet before the markdown?

Enter your answer in the box. ....

Answers

The price would be 244.38 because
You would multiply 212.50 by .15 to see the discount had taken off around 31.88 and if you add that to 212.50 it would give you the original price $244.38

Answer:

ciao la risposta è that Italian for

hi the answer is $250.00

Step-by-step explanation:

I hope the picture helps

Have a blessed day

what is log7 12+log7m-log7n?

Answers

Hello!

[tex]\large\boxed{\log_{7}{(\frac{12m}{n}})}[/tex]

Use the log properties to simplify:

log (a) + log (b) = log (a · b)

log (a) - log (b) = log (a ÷ b)

Therefore:

[tex]log_{7}12 + log_{7}m - log_{7}n\\\\= log_{7}(12 * m / n}\\\\log_{7}{(\frac{12m}{n}})[/tex]

You are buying a tv that originally cost 1,050 you have a coupon for 15% off what is your new total for the tv.

Answers

Answer:

$892.50 ( Eight Hundred Ninety Two dollars and fifty cents)

Step-by-step explanation:

Just subtract 15% from 1050 (you also can check calculator if you want second opinion!)

(have a nice day)

Answer is 892.50

This is because to find the percentage decrease of a number you must subtract the percentage from 100 . Then divide this number by 100 and multiply it with the original number . So I did 100-15= 85, 85/100= 0.85. 0.85 x 1050 = 892.50 which is the answer

Nelson is going on an overnight family reunion camping trip. He is in
charge of bringing the wood for the campfire. He will start the fire with 6
logs and then plans to add 3 logs for each hour the fire burns.
b. Suppose the family decides to stay for 2 nights next year. Write the
expression for the number of logs they would need for 2 nights.

Answers

Answer:

starting with 6 and adding 3 an hour over two days or 48 hours that  would be  3x48= 144 then add your original 6 that would be 150

Step-by-step explanation:

6 + (3x48) = logs for two days

6 + 144 = 150

150!!!

a. The number of logs needed for one night can be represented by the expression:

6 + 3h

b. The expression for the number of logs needed for 2 nights is 12 + 6h.

What is an expression?

A term is a single mathematical phrase. It might consist of only one variable—a letter—one number—positive or negative—or several variables multiplied but never added or subtracted. A number is placed in front of some nouns that have variables. Coefficients are numbers that come before phrases.

If Nelson plans to start the fire with 6 logs and add 3 logs for each hour the fire burns, then the number of logs needed for one night can be represented by the expression:

6 + 3h

where h is the number of hours the fire burns.

To find the number of logs needed for 2 nights, we can simply multiply the number of logs needed for one night by 2:

2(6 + 3h)

Simplifying this expression gives:

12 + 6h

So the expression for the number of logs needed for 2 nights is 12 + 6h. This represents starting the first night's fire with 6 logs, adding 3 logs per hour for that night, and then starting the second night's fire with 6 logs again, and adding 3 logs per hour for that night as well.

To learn more about the expression;

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you purchase a car with a $23,000 loan with %4 simple interest rate. Suppose you pay off the loan after 5 years. How much interest do you pay on your loan?

Answers

Answer:

Answer: $4,600

Step-by-step explanation:

What value of x is in
the solution set of -2(3x + 2) > -8x + 6?
A)-6
B)-5
C)5
D)6
The answer is 6

Answers

Answer:

6

Step-by-step explanation:  you told me your answer

shift f(x)=x^2 three units to the left and four units down

a) f(x)=(x+4)^2 -3
b) f(x)=(x-4)^2 -3
c) f(x)=(x-3)^2 -4
d) f(x)=(x+3)^2 -4

Answers

Given:

The parent sine function is [tex]f(x)=x^2[/tex].

It shifts three units to the left and four units down.

To find:

The new function.

Solution:

The translation is defined as

[tex]f_1(x)=f(x+a)+b[/tex]                .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Graph shifts 3 units to the left. So, a=3.

Graph shifts 4 units down. So, b=-4.

Putting a=3 and b=-4, we get

[tex]f_1(x)=f(x+3)-4[/tex]

[tex]f_1(x)=(x+3)^2-4[/tex]          [tex][\because f(x)=x^2][/tex]

Here, new function is also defined by f(x). So, [tex]f(x)=(x+3)^2-4[/tex].

Therefore, the correct option is d.

Can someone pleaseeeee solve these for me I will give brainiest!!!!

Answers

Step-by-step explanation:

Bir abzas qurmaq üçün 5 addımdan keçək. Hər addım üçün bir izah və nümunə var. Nümunə bəndimiz kölə ruhları haqqında, Afrikalı Amerikalıların köləlik dövründə yaratdığı orijinal mahnılarla əlaqəli olacaq. Model paraqrafı fikrini sübut etmək üçün illüstrasiyadan (nümunələr verməklə) istifadə edir.

Chloe bought 8/9 pounds of grapes. She used 1/3 of the grapes in a fruit salad and saved the rest. How many pounds of grapes were in the fruit salad?

Answers

16/27 pounds of grapes

Eduardo attends a slime convention in Louisville, Kentucky. He buys a watermelon slime for $9.00 and a waffle slime for $8.50. Louisville’s sales tax is 6%.


What is the sales tax on this purchase?


If necessary, round the amount of tax to the nearest 100th.

A: Not Here
B: $1.10
C: $1.05
D: $10.50

Answers

I believe the answer is C! 8.5+9= 17.5, and then you multiply 17.5 by 0.06 and get 1.05. I hope this helps! :)

Answer:

1.05 dollars will be ur answer ;)

Step-by-step explanation:

If y varies inversely as x and y = 32 when x = 5, find x when y = 240.

Answers

Answer:

2/3

I hope it will be useful.

I'll give brainliest if correct

Answers

Answer:

Go down to -4 and make a 1/1 graph

Step-by-step explanation:

Which inequality is shown in the graph below.

Answers

The answer is c. y ≤-3x+3

Johan ran 36.25 miles in 5 hours. How many miles did he run every hour?

Answers

Johan ran 7.25 miles every hour for 5 hours

-18 > -2(2x + 9) - 4+x​

Answers

Answer:

x>-4/3 last answer i got i hope it is helpful have a nice day

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