Mathematics High School

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

g(x)=-3x - 2
f(x) = 3x + 1
Find g(x) ÷ f(x)

Answers

Answer:

15

Step-by-step explanation:

Answer 15 Final answer: 15

Please help me out on this one please thank hope y’all are safe love you all

Answers

It would be D because since every side is doubled then you add 10+6+8=24ft

Hope this helps

Have a great day/night

Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply

Answers

Answer:

A. the domain is all real numbers. and

B.the y-intercept is 3

Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP

Answers

It’s C. (4.2)

Explanation:
6x3=18

Then find the square root of 18

=4.2

How to write the question using the follow sentence


Will mark Brainliest

Answers

Answer:

3(x+2) - 5

Step-by-step explanation:

Answering so the guy above me will get the brainiest lol

Stacy spent £20 on ingredients for bread.
She made 18 loaves and sold them for £1.40 each.
Calculate her percentage profit.

Answers

Answer:

Stacy made £25.2 from the 18 loaves of bread. So She made £5.20 as a profit.

Step-by-step explanation:

18 loaves of bread × £1.4 = £25.2 Round it up = £25

£25.20 - £20 = £5.20 Round it up = £5

Stacy Made about £5 as profit.

How can you diffrentiate "less" and "less than"? Can these terms be used in mathematics? How?​

Answers

Less or less than means to subtract in math
mathematics. Example would be Bob and 100 apples but Emily has 15 apples
less than Bob, how many apples in total?
Which weighs less 1 oz of sugar or 1 lbs of sugar.
less" simply means "-" minus. subtract. for example 6 less 3 is 6-3 which is equal to 3

where as

less than means this number is of lower value than that of the other number. for example 3 is less than 6

Erica is a police officer. She earns $24 an hour. Sometimes she works extra shifts and earns time and a half for each hour she works over 40. Erica is paid biweekly. Last week she worked 44 hours and this week she worked 52 hours. Calculate Erica's Gross Pay

Answers

Answer:

Gross pay = $2496

Step-by-step explanation:

Erica earns $24 an hour. She works extra shifts and earns time and a half for each hour.

Her extra earning starts over 40 hours.

Therefore, her extra earning above 40 hours = 1.5 × 24

                                                                           = $36 per hour

She worked for 44 hours in last week, her total earnings for last week

= (40 × $24) + (4 × $36)

= 960 + 144

= $1104

She worked for 52 hours this week, her total earnings for this week

= (40 × $24) + (12 × $36)

= 960 + 432

= $1392

Since, Erica was paid biweekly,

Her gross income = $1104 + $1392

                              = $2496

Rewrite the inequality with zero on one side and one rational expression on teh other. 3/x+2+4>3 what is the first step

Answers

Answer:

Add –3 to both sides

Step-by-step explanation:

edge 2021

7
2
2 2 3
8
0
58
9
3 7
10
0

Answers

Answer:

Wut...?

Step-by-step explanation:

2.) Mackenzie uses 1/5 of a cup of sugar for 1/3 of a gallon of lemonade.
How many cups of sugar would she need for a whole gallon of lemonade?*

Answers

Answer:

3/5 cups of sugar

Step-by-step explanation:

If 1/5 of a cup of sugar is used for 1/3 of a gallon of lemonade, 1/5 of a cup will be used in each of the overall three thirds of a gallon.

Answer:

3/5 cup of sugar good luck

Help me plssssss!!!!!

Answers

Answer:

I think the correct answer is B

Solve the equation for x. x^2 = 900

Answers

Answer:

x = 30, -30

Step-by-step explanation:

square root both sides to get the answer x=30

solve the equation 7( 4+p) = 28

P=0

P=8

P=7​

Answers

Answer:

Step-by-step explanation:

1: 7(4+0)=28

7(4)=28

28=28

this is correct

Answer:

p=0

1) use distributive property

7*4+7p=28

28+7p=28... solve for p

7p=28-28

7p=0... divide both sides by 7 to find p

p=0

What is the value of (-5)^4

Answers

Answer:

625

Step-by-step explanation:

Need help please asap

Answers

Answer:

A

Step-by-step explanation:

A because 21 is a greater number than 9 and therefore should be in the denominator. That leaves you with 9 which is a smaller number and should go on the numerator. Hope this helped you!

Identify the correct Triangle Congruence Theorem that describes the figure below.


A. SAS
B. ASA
C. AAS
D. SSS
E. HL

Answers

Answer:

ASA

Step-by-step explanation:

Don't worry I just know

Select the correct answer.
The slope of the function on the left is multiplied by p, and is added to the yIntercept to arrive at the function on the right. Which of the
following are the values for p and q?
A. p = -2 and q = -2
В. p=-2 and q = -4
C. P = 2 and q = -3
D. P = -2 and q = -3

Answers

Answer:

p = -2

q = -3

Step-by-step explanation:

Let us get the equation of the two graphs

General equation form is;

y = mx + b

m is slope and b is the y-intercept

For the first one;

y intercept is 1

So the equation is;

y = mx + 1

The x-intercept is -2

the value of y at the x-intercept is 0

0 = -2m + 1

1 = 2m

m = 1/2

so;

1/2 * p

p/2

q added to y-intercept;

q + 1

Let us get the equation of the second plot

y-intercept is -2

Equation is;

y = mx - 2

We can get slope using x-intercept

x-intercept is -2

0 = -2m - 2

2m = -2

m = -1

So;

p/2 = -1

p = 2 * -1 = -2

For the value of q;

q + 1 = -2

q = -2-1 = -3

help pls hurry
find the volume

Answers

Step-by-step explanation:

hope it helps you

here is ur answer

HELP!!!!! 50 POINTS!!
Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7)
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
(Picture in file below)

Answers

The picture isn’t popping up

Use the Distributive Property to expand this expression.

z(–6.4 – 3.5x)

Answers

Answer:

[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]

Hence, Option 'C' is true.

Step-by-step explanation:

Given the expression

[tex]z\left(-6.4\:-3.5x\right)[/tex]

Apply distributive law:   [tex]a\left(b-c\right)=ab-ac[/tex]

Here:  [tex]a=z,\:b=-6.4,\:c=3.5x[/tex]

so the expression becomes

[tex]z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x[/tex]

                         [tex]=-6.4z-3.5zx[/tex]                 ∵  [tex]+\left(-a\right)=-a[/tex]

Therefore,

[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]

Hence, option 'C' is true.


Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1
​

Answers

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p    (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.

1 2 ÷ 3 2 1 ​ ÷3 need help lol

Answers

Answer:

0.012461059

Step-by-step explanation:

Answer:

g00gle says 0.01246105919

Step-by-step explanation:


HELP NOW URGENT PLEASE!!
Last month you spent $30 on clothing. This month you spent 140% of what you spent last month. How much did you spend this month?

Answers

Answer:

42

Step-by-step explanation:

Answer: you spent 63

Step-by-step explanation:

daily wages of a factory workers are recorded as
C.I
12-126 127-132. 133-138. 139-144
Freq.
5. . 27. 20. 18

the lower limit of model class is. [. ]
a) 127
b 126
c) 126. 5
d) 133​

Answers

Answer:

I think the answer is c I hope it helps I not a 100 percent

Answer:

*the hero (me) enters into the battlefield*

Step-by-step explanation:

i am here to fight sharon she is given time for surrender or be get defeated by me !!!!

uk u can never winnnn with me

Write an equation of the line that passes through (-1, – 4) and is perpendicular to the line y = (3/4)x -2

Answers

Step-by-step explanation:

The equation of the line is given above

x
X




You put $1200 into an investment yielding 11%
annual interest; you left the money in for two
years. How much interest do you get at the end
of those two years?

Answers

Answer:

$1864

Step-by-step explanation:

11% of 1200=132

132×2(years)=264

1200+264=1864

The ordered pair (3,9) is a solution to the following system of equations.
y = x + 6
y = 2x + 3

A) True
B) False

Answers

The answer to the question is: true



Fill the empty slots by dragging tiles from the left to show the Solve the two-step equation and identify the steps.
next step for solving the equation.
Solve the two-step equation and identify the steps. 2= -7/4+1/4x
1.______ 7/4 to both sides.
2.______ by 4
The solution is X =_____

Answers

Answer: 1. Add 2. Multiple both sides 3. 15

Step-by-step explanation: hope this helps

Answer: 2 = − 7

4

+ 1

4

x

1.

✔ Add

Start Fraction 7 over 4 End Fraction to both sides.

2.

✔ Multiply both sides

by 4.

The solution is x =

✔ 15

.

Step-by-step explanation: i just did it on ed

Which is greater, 20% or 0.02?

Answers

Answer:

20% is greater

Step-by-step explanation:

0.02 is only 2%

Answer:

20%

Step-by-step explanation:

to change .02 into a percent, you move the decimal over twice or multiply it by 100. leaving it to be 2%

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