1. Solve this quadratic by factoring
6x^2+7x-5=0

2. Solve this quadratic by factoring x^2+5x-14=0

3. Solve this quadratic using the quadratic formula
3x^2-7x-9=0

4. Solve this quadratic by factoring
X^2-25=0

5. Solve this quadratic by factoring
X^2-6x=0

Please show work.

Answers

Answer 1

ANSWER #1:

x = -1.666666667

x = 0.5

STEP-BY-STEP:

Simplifying

6x2 + 7x + -5 = 0

Reorder the terms:

-5 + 7x + 6x2 = 0

Solving for variable 'x'.

(-5 + -3x)(1 + -2x) = 0

SUBPROBLEM 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying

-5 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -3x = 0 + 5

Combine like terms:

0 + -3x = 0 + 5

-3x = 0 + 5

Combine like terms:

-3x = 5

Divide each side by '-3'.

x = -1.666666667

Simplifying

x = -1.666666667

SUBPROBLEM 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying

1 + -2x = 0

Move all x terms to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -2x = 0 + -1

Combine like terms:

0 + -2x = 0 + -1

-2x = 0 + -1

Combine like terms:

-2x = -1

Divide each side by '-2'.

x = 0.5

Simplifying

x = 0.5

ANSWER #2:

x = -7

x = 2

STEP-BY-STEP:

Simplifying

x2 + 5x + -14 = 0

Reorder the terms:

-14 + 5x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-7 + -1x)(2 + -1x) = 0

SUBPROBLEM 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying

-7 + -1x = 0

Solving

-7 + -1x = 0

Move all x terms to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1x = 0 + 7

Combine like terms:

0 + -1x = 0 + 7

-1x = 0 + 7

Combine like terms:

-1x = 7

Divide each side by '-1'.

x = -7

Simplifying

x = -7

SUBPROBLEM  2

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

Move all x terms to the left, all other terms to the right.

Add '-2' to each side

2 + -2 + -1x = 0 + -2

Combine like terms:

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms:

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

ANSWER #3:

x = 3.25

x = -0.92

STEP-BY-STEP

Simplifying

3x2 + -7x + -9 = 0

Reorder the terms:

-9 + -7x + 3x2 = 0

Solving for variable 'x'.

Divide each side by '3'.

-3 + -2.333333333x + x2 = 0

Add '3' to each side

-3 + -2.333333333x + 3 + x2 = 0 + 3

Reorder the terms:

-3 + 3 + -2.333333333x + x2 = 0 + 3

Combine like terms:

0 + -2.333333333x + x2 = 0 + 3

-2.333333333x + x2 = 0 + 3

Combine like terms:

-2.333333333x + x2 = 3

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).

Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side

-2.333333333x + 1.361111112 + x2 = 3 + 1.361111112

Reorder the terms:

1.361111112 + -2.333333333x + x2 = 3 + 1.361111112

Combine like terms:

1.361111112 + -2.333333333x + x2 = 4.361111112

Factor a perfect square on the left side:

(x + -1.166666667)(x + -1.166666667) = 4.361111112

Calculate the square root of the right side: 2.088327348

Break this problem into two subproblems by setting

(x + -1.166666667) equal to 2.088327348 and -2.088327348.

SUBPROBLEM 1

x + -1.166666667 = 2.088327348

Simplifying

x + -1.166666667 = 2.088327348

Reorder the terms:

-1.166666667 + x = 2.088327348

Solving for variable 'x'.

Move all x terms to the left, all other terms to the right.

Add '1.166666667' to each side

Combine like terms:

0.000000000 + x = 2.088327348 + 1.166666667

x = 2.088327348 + 1.166666667

Combine like terms:

2.088327348 + 1.166666667 = 3.254994015

Simplifying

x = 3.254994015

SUBPROBLEM 2

x + -1.166666667 = -2.088327348

Simplifying

x + -1.166666667 = -2.088327348

Reorder the terms:

-1.166666667 + x = -2.088327348

Solving

-1.166666667 + x = -2.088327348

Solving for variable 'x'.

Move all x terms to the left, all other terms to the right.

Add '1.166666667' to each side of the equation.

-1.166666667 + 1.166666667 + x = -2.088327348 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000

0.000000000 + x = -2.088327348 + 1.166666667

x = -2.088327348 + 1.166666667

Combine like terms: -2.088327348 + 1.166666667 = -0.921660681

x = -0.921660681

Simplifying

x = -0.921660681

ANSWER #4:

x = -5

x = 5

STEP-BY-STEP:

Simplifying

x2 + -25 = 0

Reorder the terms:

-25 + x2 = 0

Solving

-25 + x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '25' to each side

-25 + 25 + x2 = 0 + 25

Combine like terms: -25 + 25 = 0

0 + x2 = 0 + 25

x2 = 0 + 25

Combine like terms: 0 + 25 = 25

x2 = 25

Simplifying

x2 = 25

Take the square root of each side:

x = {-5, 5}


Related Questions

Find the side lengths asked below:

Answers

Answer:

WZ=

UZ=

Step-by-step explanation:

First, you have to find the x.

3x-6+x+6

Combine like terms

(3x+x) (-6+6)

4x+0

x=4.

WZ=3(4)-6

12-6

6

UZ= (4)+6

10

Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box. When Olivia's mom goes grocery shopping, she likes to purchase the same amount of each lunch item so that she can make complete lunches, with no leftover items. However, each item comes in a different sized package, as shown below: Bagels: six in a bag Apples: eight in a bag Cookies: twelve in a box Juice Boxes: nine in a box Find the least number of packages she must purchase in order to have the same amount of each item.

Olivia's mom should purchase how many bags of apples?

Answers

Answer:

72

Step-by-step explanation:

Find the LCM

6=2x3

8=2x2x2

9=3x3

12=2x2x3

LCM=2³x3²

       =72

The round off value of 10256/32548 up
to three decimal places
Is​

Answers

Answer:

0.315

Step-by-step explanation:

10256/32548 is about 0.3151 (I used calculator)

0.3151 rounded to thousandth place is 0.315

Remember the rule when round, 5 and above, up, below 5, stay the same.

The number after 5 in 0.3151 is 1 and 1 is less than 5, so the 5 stays the same.

Hope I was able to help! Good Luck!

What is the inverse function of f(x) = -2?

Answers


That’s the answer
Hope it help

if x is 18 when y is 6 find y when x is 21

Answers

Answer:

y = 7, when x = 21

Step-by-step explanation:

Since 6 is 1/3 of 18 we could use that to find y

1/3 x 21 = 7

Anybody know the answer for this? ;-;

Answers

Answer: the first answer choice

Step-by-step explanation:

Answer:

i think its the bottom one but i dont know

Step-by-step explanation:

Using a graph, table of values, and/or equations solve the following problem.
A sofa and a love seat together costs S351. The sofa costs double the love seat. How much does the love seat cost?
Round and write your answer to the tenths place value. Do not include units​

Answers

Answer:

The love seat cost $117.

Step-by-step explanation:

Given that,

A sofa and a love seat together costs $351.

Let love's seat = x

Sofa's seat = 2x

ATQ,

x+2x = $351

3x = $351

[tex]x=\dfrac{351}{3}\\\\x=\$117[/tex]

So, the love seat cost $117.

i will give brainiest to whom answers correct and the fastest and a thanks

Answers

Answer:

(D) The bottom graph, and (A) The top table.

Step-by-step explanation:

The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.

From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.

For table A:

x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1

x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0

x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2

x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3

Since the table matches up with the inputs and outputs of the table, it is a correct answer.

For table B:

x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5

x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7

x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9

x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11

x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13

5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.

Graph C:

Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.

Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.

But the x intercept doesn't match up as shown here.

y = 0 → y = x + 2 → (0) = x + 2 →

0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1

When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.

✓ Table A: y = x + 2

× Table B: y = 2x – 1

× Graph C: y = 2x + 2

✓ Graph D: y = x + 2

Simplify the following.
–(32)2

Answers

Answer:

-64

Step-by-step explanation:

If i'm not mistaken and this is times then it is just

-32 times 2

which is -64.

-

Have a wonderful day and best of luck!

please please please help quick

Answers

Answer:

[tex]3\sqrt{5}[/tex]

Step-by-step explanation:

Since the triangle has a right angle, we are going to use pythaogoran theoem, which is [tex]a^{2} +b^{2} =c^{2}[/tex], where a and b are the legs and and c is the hypotunese/ slated side.  Let set it up.

[tex]3^{2} +6^{2} =c^{2}[/tex]

9+36=c^2

45=c^2

[tex]\sqrt{45}[/tex]=

Then we are going to find a perfect squarre root(1,4,9,16,25....) to simplify the radical

The perfect square root is 9 because 9 goes into 45 5 times.

[tex]\sqrt{9x5}[/tex]

Then take the sqr root of 9 and we have [tex]3\sqrt{5}[/tex]

HELP ASAP!! I WILL MARK BRAINLIEST!! Write an equation for the graph.​

Answers

Answer:

y = 7/4x

Step-by-step explanation:

All you have to do is find the slope by using the formula change in y divided by change in x of the two points. You can see that y goes up by 14 when x goes up by 8. This means that the slope is 14/8, or 7/4.

The equation would then be y = 7/4x

Toshеlle wants to take strength training classes at the
community center. She has to pay a one-time enrollment fee of $25 to join the
community center, and then $45 for each class she wants to take. Write an
equation in slope-intercept form for the cost of taking x classes.

Answers

Answer:

I would say y=45x+25

I’m doing the same workbook page

(If this is wrong I’m sorry)

Hope this helps

Have a great day/night

please help me almost done

Answers

Answer:

x = -8

<XCE = 30

Step-by-step explanation:

Remark

In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.

We have a little bit of both in this question.

Solution

3x + 174 = - 7x + 94                  Alternate exterior angles. Add 7x to both sides.

3x+7x +174 = 94                       Combine

10x + 174 = 94                          Subtract 174 from both sides

10x = 94 - 174

10x = - 80                                 Divide by 10

x = - 80/10

x = - 8

===================

Check

3x + 174 = -24 + 174 = 150

-7x + 94 = -7*-8 + 94

-7x + 94 = 56 + 94 = 150

<XCE

<XCE = 180 - (3x + 174)

<XCE = 180 - (-24 + 174)

<XCE = 180 - (150)

<XCE = 30

Fuel from PDV pump A costs four dollars per gallon and from PDV pump B costs two dollars per gallon. Mark has at most $24 to spend on fuel. Write and graph the system of linear inequalities.

Answers

Answer: asically plot down each from the least

Step-by-step explanation:

Romeo paid 380.75 in car repairs the sales tax is 7.5%. What is the total that Romeo has to pay

Answers

Step-by-step explanation:

Answer: $380.75x0.075%=28.55625 28.55625+380.75%-D409.30625 $409.30625 $409.31 Answer: $409.31

need to know soon! please help​

Answers

Answer:

59

Step-by-step explanation:

62+59= 121

180-121= 59

Answer:

m<1 = 121

Step-by-step explanation:

59 + 62 = 121

180 - 121 = 59

180 - 59 = 121

Jessica deposited $5000 in a simple interest account 4 years ago. She has earned $680 in interest so far. What is the interest rate for this account?

Answers

Answer:

$170

Step-by-step explanation:

every year she got $170 interested

Twenty years ago, James made a deposit of $13,000.00 into an account. After twenty years, the account had earned $10,400.00 in interest. What simple
interest rate did the account earn?

Answers

Answer:

Use the information given to write an equation in standard form.  

Slope is -3, and (0, -4) is on the line.  

Step-by-step explanation:

Which of the following is not a geometric tool?

A.Compass
B.Pen
C.Protractor
D.Set Squares

Answers

Answer:

C. Protractor

Answer:

A

Step-by-step explanation:

A compass is for directions.

40 is a rational number.

Answers

Answer: if its a true or false question then yes 40 is a rational number

Step-by-step explanation:

Answer:

40 is a rational number

Step-by-step explanation:

It can be expressed as a quotient of two factors

40/1

Find sin(90°).

45°
A.0
В.1
C. square 2
D. square 2 / 2

Answers

Answer:

sin90° = 1.

Step-by-step explanation:

Using the diagram, we notice that the side opposite of the 90° angle is the hypotenuse itself.

Therefore sin90° = Hypotenuse/Hypotenuse = 1.

Can someone help me with these answers please

Answers

Answer:

7.    7x

8. -2v+19

9. 8p-26

10. 14y-5

11.  7m-13

12. -8k+25

13. -3w-13

14. -9c+27

15. m+4n

16.-7s

17.  6x-13y-24

18. 6h-16b

19. -9p+9q+12

20.   2k/5+ 31/4

Step-by-step explanation:

7x^2a+7xa^2
Find the greatest common factor

Answers

Answer:

GCF is 7xa

Step-by-step explanation:

Answer:

hCf is 7ax

plz refer to the picture

plz mark as brainliest

Judy's heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour?

Answers

Answer:

4,200 hbph

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

4200 times

Step-by-step explanation:

If there is 70 beats in a minute, and 60 minutes in an hour. All you do is 70*60.

Lean ground beef costs $7.25 per pound. Which equation best represents y, the total cost of x pounds of lean ground beef?

a
x = 7.25 + y
b
y = 7.25 + x
c
x = 7.25y
d
y = 7.25x

Answers

ANSWER IS D ! mark brainliest:)

The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.

Given that,

Lean ground beef costs $7.25 per pound.

The total cost of x pounds of lean ground beef.

We have to determine,

The equation which represent y.

According to the question,

Lean ground beef costs $7.25 per pound.

The total cost of x pounds of lean ground beef.

The equation for representation the total cost y of x pounds is written as.

Total cost of pounds = Lean ground beef costs $7.25 per pound × cost of x pounds of lean ground beef.

The equation for total cost of y of x pounds,

y = (7.25).(x)

y = 7.25x

Hence, The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.

For more information about Linear equation click the link given below.

https://brainly.com/question/22272773

43 decreased by a number B

Answers

Answer:

43 - B = x

Step-by-step explanation:

When decreasing, you are subtracting, so the equation for this problem would be 43 minus B equals whatever quantity you were given as a solution.

PLEASE HELP HOW DO I SOLVE THIS?


12 + 7c = 103

Answers

Answer:

13

Step-by-step explanation:

7c=103-12

7c=91

c=13

Answer:

Step-by-step explanation:

Here you go mate

Step 1

12+7c=103  Equation/Question

Step 2

12+7c=103  Simplify

Step 3

12+7c=103  Subtract 12

7c=91

Step 4

7c=91  Divide both sides

answer

c=13

Hope this helps

which phrase represents 3-7x

Answers

Answer:

3 less 7x

Step-by-step explanation:

I think soooo

not sure either

Answer: 3 - 7x = D) The difference between three and seven times a number. This expression is known because the words times and difference are your key words. Times means multiplication and difference means subtraction.

The difference between three and seven times a number.

HOPE THIS HELPS

50 points please help!!!

Answers

Answer:

the answer would be B.

Step-by-step explanation:

it's the correct answer

Answer:

A

Step-by-step explanation:

I think you have to divide in these and so 16 ÷ 8 = 2 and 3+3 = 6 for the powers

Help me please I need it really bad.

Answers

Answer:

6500

Step-by-step explanation:

How to find volume: height x length x width

The larger box: 15 x 20 x 25= 7500

Smaller box: 10 x 10 x 10= 1000

Place the smaller box inside the larger box, which means the smaller box takes up space so you would subtract their volumes and get- 7500-1000=6500

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