x^(2)-8x=-7
Please show work.

Answers

Answer 1

Answer:

This equation has two solutions.

1 solution is: x - 1

Solution #2 is : x - 7

Step-by-step explanation:

1. Move the constant to the left. We end up with x^2 - 8x +7 = 0

2. Rewrite the expression: x^2 - x - 7x + 7 = 0

3. Factor the expressions: x * (x-1) -7(x-1) = 0

4. Separate into possible cases : (x-1) * (x-7) = 0

5. Solve the equation(s): x-1 = 0

                                         x-7 = 0

6. Possible solutions are as follows: x-1 OR x-7


Related Questions

Find the value of x.
Please help me

Answers

the answer is x = 45

Clara bought a shirt for %18.45 and a skirt for $22.68. She gave the cashier $50 for the purchase. How much change will clara receive?

Answers

Answer:

$8.87

Step-by-step explanation:

Add the cost of the shirt and the skirt, 18.45 + 22.68 = 41.13

50-41.13 = $8.87

$8.87 is the answer....

Solve using suitable property
-2/3 x 5/7 x -9/16 x 14/25

Answers

Given:

The given expression is:

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]

It can be written as:

[tex]=\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-3\times 3}{2\times 2\times 2\times 2}\times \dfrac{2\times 7}{5\times 5}[/tex]

[tex]=\dfrac{-2\times 5\times (-3)\times 3\times 2\times 7}{3\times 7\times 2\times 2\times 2\times 2\times 5\times 5}[/tex]

Cancel out the common factors.

[tex]=\dfrac{-(-3)}{2\times 2\times 5}[/tex]

[tex]=\dfrac{3}{20}[/tex]

Therefore, the value of given expression is [tex]\dfrac{3}{20}[/tex].

What fraction of the students are wearing either a white or blue shirt?

PLX HELP THIS TEST IS 20 PERCENT OF MY FINALE GRADEEEEE

On Friday,
3/10
of the students at school were wearing white shirts and
5/12
of the students were wearing blue shirts.
select the fraction of students wearing either a white shirt or a blue shirt.

Answers

Answer:

43/60

3/10 x 12 = 36/120

5/12 x 10 = 50/120

50/120 + 36/120 = 86/120

Simplified we get 43/60

T Frank leans a 10 foot ladder against the side of his house, but because of a
rose bush next to the house, the bottom of the ladder is 3 feet away from the
wall. How high will the top of his 10 foot ladder really reach? feet

Answers

Answer:

9.5 feet

Step-by-step explanation:

We use Pythagorean thm:

a² + b² = c²

Given:

b = 3

c = 10

Work:

a² + b² = c²

a² + 3² = 10²

a² + 9 = 100

a² = 91

[tex]\sqrt{a^2} =\sqrt{91}[/tex]

a = 9.5

which question is a statical question

A.What is the best genre of books?

B.What is the longest book you have read?

C.What genre was the last book you read?

Answers

Answer:

B is a statistical question

Step-by-step explanation:

A and C ask for qualitative data or categorical data

B asks for quantitative data or numerical data

We obviously use numerical data for statistical work, so B is the answer

If (-3)^-5=1/x, what is the value of x?



options are in the photo

Answers

Answer:

X= -243

Used Math.way

how many solutions is there to the system of equations? 2x + 3y = 11 -4x - 6y = -22

Answers

Answer:

x = 4, y = -3

Step-by-step explanation:

{2x - y = 11

{x + 3y = -5

You can use the substitution method by solving for x in the second equation:

x + 3y = -5

Subtract 3y from both sides:

x = -3y - 5

Now, substitute this value for x into the first equation:

2x - y = 11

2(-3y - 5) - y = 11

Distribute:

-6y - 10 - y = 11

Add 10 to both sides:

-6y - y = 21

Combine like terms:

-7y = 21

Divide both sides by -7:

y = -3

Next, substitute this value for x into the second equation:

x + 3y = -5

x + 3(-3) = -5

Multiply:

x - 9 = -5

Add 9 to both sides:

x = 4

PLS HELP ME PLS 20 POINTS FOR HELPING ​

Answers

I think it’s Cccccccc

Pleaseeee help ASAP!!!!!!

Answers

Question:

The taxi company charged a pick-up fee of $4.30 plus $1.25 per mile. The total fare was $35.55, not including the tip. How many miles was the taxi ride?

Answer:

total miles 25

Prove:

35.55-4.30=31.25

31.25/1.25= 25

OR Explained

sub 4.30          35.55 - 4.30 = 31.25

Divide 1.25      31.25/1.25 = 25

Final answer is 25

After dividing what you subtracted, you will successfully get your answer.

Answer:

25 miles is the answer

Step-by-step explanation:

Pleaseeeew HELPPPP no one ever answers my questions on here

Answers

Answer:

Circumfrence: 40.21

Radius: 6.4

Step-by-step explanation:

For radius, you only have to divide the diameter (in this case 12.8) by 2 which gives us 6.4

For Circumference, plug in the radius in the formula C=2π(6.4), and that gives us 40.21

The length of a living room is 12ft and it's width is 10 1/2 ft. The length of the living room is being expanded by X feet? Choose an expression to represent the new area of the living room in square feet and the expanded fotm of the expression? Select all that apply

Answers

Answer:

C. 10.5(12 + x) square feet

E. (126 + 10.5x) square feet

Step-by-step explanation:

A. 10.5(12x) square feet

B. (10.5 + 12 + x) square feet

C. 10.5(12 + x) square feet

D. 126x square feet

E. (126 + 10.5x) square feet

F. (22.5 + x) square feet

length of a living room = 12ft

width = 10 1/2 ft

The length of the living room is being expanded by X feet

New length of a living room = 12ft + x feet

new area of the living room = length × width

= 12ft + x feet × 10 1/2 ft

= (12 + x) 10 1/2

Note: 10 1/2 is equivalent to 10.5

= (12 + x) 10.5

= (126 + 10.5x) square feet

Options that applies

C. 10.5(12 + x) square feet

E. (126 + 10.5x) square feet

Which graph represents a quadratic function with a negative discriminant?

Choice 1
Choice 2
Choice 3
Choice 4

Answers

Answer:

Choice 4

Step-by-step explanation:

#4   because the graph does not intersect the x-axis

The graph that represents a quadratic function with a negative discriminant is graph 4.

What is a Discriminant?

The part in the formula of a quadratic equation that helps us to know the nature of the roots of a quadratic equation is known as a discriminant.

D = b2 - 4ac,

If the value of the discriminant is greater than zero then the roots of the equation are real and distinct,If the value of the discriminant is equal to zero then the roots of the equation are real and same, andIf the value of the discriminant is less than zero then the roots of the equation are imaginary.

Since for the value of the discriminant to be negative, the roots of the quadratic equation should be imaginary. Also, imaginary never intersects the x-axis of the graph.

Now, in the group of the graphs the only graph that does not intersect the x-axis of the graph or have imaginary roots is graph 4.

Hence, the correct option is graph4 (Bottom Right).

Learn more about the Discriminant here:

https://brainly.com/question/15884086

#SPJ2

Pleaseee helpppp I really need it now please

Answers

Answer:

c = 60

Step-by-step explanation:

A triangle = 180 degrees

180-(15+105)=c

c=60

what is 5 2/3 divided by 3/2

Answers

The answer to your question is 20/9

Answer:

≈3.8

Your Welcome!

help me it's too urgent ​

Answers

Answer:

id k if it's right but i hope this helps :)

Step-by-step explanation:

Which histogram represents the times from team are on the obstacle course

Answers

Answer:

Image attached

Step-by-step explanation:

What is the area of this regular polygon?

Answers

Answer:

A=25√3 cm^2

Step-by-step explanation:

Since it is a regular triangle, all sides are equal to 10cm. The dotted line is a perpendicular bisector, which means that it seperates the triangle into two perfect halves. So a right triangle is formed. The bottom of the right triangle will be half of 10, and 10/2=5. So to find the missing side, use the pythagoreom theorem.

5^2+x^2=10^2

25+x^2=100

x^2=75

x= 5√3

The height of the triangle is found, so apply the formula for area:

A=1/2*5√3*10

A=25√3

1. Determine the following:
1.1. A car does a distance of 340 km for a consistent speed of 85 km/h. Hoy
long will it take the car to go the entire distance.

Answers

Answer:

v=d/t

v=340km/85km/h

v=4 km

I hope this helps you

What is the first step to solve this equation:
11 - 3x = 44

Question 3 options:

Add 3 to both sides


Add 11 to both sides


Subtract 11 from both sides


Divide 3 on both sides.

Answers

The first step to solving this equation is subtracting 11 from both sides.

Solve the equation 5x^2-6x-7=0

Answers

Answer:

0.37

Step-by-step explanation:

5x^2-6x-7=0

25x-6x-7=0

19x-7=0

19x=7

0.37

Answer:

x = (3-2√11)/5 ; x= (3+2√11)/5

Step-by-step explanation:

Δ/4 = (b/2)^2 - ac  where b is the term that multiplies x, a is the therm that multiplies x^2 and c is the therm without x

Δ/4 = (-3)^2 - (-7*5) = 9 + 35 = 44 = 2^2 *11

x1 = (3 - √2^2 *11)/5 = (3-2√11)/5

x2 = (3+ √2^2 *11)/5 = (3+2√11)/5

if f(x) = 2x +1 and g(x) = 5x-6 then what are f(-1) and g(3)

Answers

Answer: -1

Step-by-step explanation: ANSWER : -1

f(x)=3x−1=y

⇒x=3y+1​

∴f−1(y)=3y+1​

⇒f−1(x)=3x+1​

g(x)=5x+6=z

⇒x=5z−6​

g−1(z)=5z−6​

⇒g−1(x)=5x−6​

g−1(f−1(x))=g−1(3x+1​)

=53x+1​−6​

=15x−17​

∴g−1(f−1(2))=

3. Ethan bought a used car. The value, v(t) the car t years after his purchase is given by the equation v(t) = 4, 500 * (0.8334) ^ t . What was the value of the car when Ethan bought it?

Answers

Answer: 4500

Step-by-step explanation: when t=0, then 0.8334^t= 1

And 4500 is original value of the car.

Write -0.5 repeating as a fraction or mixed number

Answers

Answer:

Step-by-step explanation:

1/2 as a fraction


The volume (V) of a cube is 216 cubic Inches. What is the surface area (S) of the cube?

Answers

Answer:

216in^2

Step-by-step explanation:

6*6*6=216

side length is 6

6^2=36

36*6=216

if a quadrilateral has angles measure 2y,3y ,y+5and 2y-1,what is the value of y


a.360
b.45.5
c.90.5
d.44.5 ​

Answers

This is the answer to your question

If y=−3, then
4y
4+y

=

Answers

Answer:

4y4+y is 4x-3x4+-3 so the answer is -51

Step-by-step explanation:

4 times -3 is -12

-12 times 4 is -48

-48 plus -3 is -51

hope this is right lm.ao

Answer:

4 x -3 + 4 = 5

4 x -3= 1

4 + -3 =1

Step-by-step explanation:

I checked the calculator (Sorry if I’m wrong)

One more than the product of 17 and Matt's savings

Use the variable m to represent Matt's savings.

Answers

Answer:

17m=2

Step-by-step explanation:

hey plz pick mine as the brainliest?

if x=9.6 , y=3.60 and z=5 , find the percentage error in the calculation of
x+y/2 giving your answer to three significant figures.

Answers

formula for percentage error is (actual value /absolute error)

X+y/2

9.6+3.60/2 = 11.4,,

I need the answer ASAP does anyone know it

Answers

The mean= 15.142857142857
The variance= 12.408163265306
Standard Deviation= 3.5225222874108
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