1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mezya [45]
3 years ago
12

Which equation results from adding the equations in this system?

Mathematics
2 answers:
marishachu [46]3 years ago
3 0

Answer:

the answer is -7X=-35

Step-by-step explanation:

because of

-17-11x+-18+4X=-7X-35

jonny [76]3 years ago
3 0
A is the answer to this
You might be interested in
Decide if each sentence uses assonance or consonance. Then, drag each answer to the correct box.
prisoha [69]

Answer:

Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.

Step-by-step explanation:

8 0
2 years ago
The graph of f (x) = x + 5 is a vertical translation 5 units
irakobra [83]

Answer:

A horizontal translation of 5 units to the left.

Step-by-step explanation:

Given the parent linear function:

\displaystyle f(x)=x

To shift vertically n units, we can simply add n to our function. Hence:

f(x)=x+n

So, a vertical shift of 5 units up implies that n=5. So:

f(x)=x+5

As given.

However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:

f(x-n)=(x-n)

Where n is the horizontal shift.

For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:

f(x-1)=(x-1)

Or:

f(x)=x-1

We notice that this is also a vertical shift of 1 unit downwards.

Therefore, we want a number n such that -n=5.

So, n=-5.

Therefore, it we shift our function 5 units to the left, then n=-5.

Then, our function will be:

f(x-(-5))=(x+5)\text{ or } f(x)=x+5

Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.

7 0
2 years ago
HELP solvin. bein go wrung
adelina 88 [10]

Answer: 2/3 left and 1/3 used

7 0
3 years ago
Read 2 more answers
2w + y = 6<br> a. Find y if w = -4<br> b. Find y if w = 10
krok68 [10]
A. Y would be 14 since 2w would equal -8, and -8+14=6.
B. Y would be -14 because 2w would equal 20 and 20+(-14)=6
4 0
2 years ago
Read 2 more answers
X^+17x+72=12 factoring quadratic equation
Tom [10]

Answer:

The first term is, x2 its coefficient is 1 .

The middle term is, -17x its coefficient is -17 .

The last term, "the constant", is +60

Step-1 : Multiply the coefficient of the first term by the constant 1 • 60 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -17 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

-15 + -4 = -19

-12 + -5 = -17 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -5

x2 - 12x - 5x - 60

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-12)

Add up the last 2 terms, pulling out common factors :

5 • (x-12)

Step-5 : Add up the four terms of step 4 :

(x-5) • (x-12)

Which is the desired factorization

Equation at the end of step

1

:

(x - 5) • (x - 12) = 0

STEP

2

:

Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : x-5 = 0

Add 5 to both sides of the equation :

x = 5

Solving a Single Variable Equation:

2.3 Solve : x-12 = 0

Add 12 to both sides of the equation :

x = 12

Supplement : Solving Quadratic Equation Directly

Solving x2-17x+60 = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = x2-17x+60

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000

Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :

y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 + 60.0

or y = -12.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = x2-17x+60

Axis of Symmetry (dashed) {x}={ 8.50}

Vertex at {x,y} = { 8.50,-12.25}

x -Intercepts (Roots) :

Root 1 at {x,y} = { 5.00, 0.00}

Root 2 at {x,y} = {12.00, 0.00}

Solve Quadratic Equation by Completing The Square

3.2 Solving x2-17x+60 = 0 by Completing The Square .

Subtract 60 from both side of the equation :

x2-17x = -60

Now the clever bit: Take the coefficient of x , which is 17 , divide by two, giving 17/2 , and finally square it giving 289/4

Add 289/4 to both sides of the equation :

On the right hand side we have :

-60 + 289/4 or, (-60/1)+(289/4)

The common denominator of the two fractions is 4 Adding (-240/4)+(289/4) gives 49/4

So adding to both sides we finally get :

x2-17x+(289/4) = 49/4

Adding 289/4 has completed the left hand side into a perfect square :

x2-17x+(289/4) =

(x-(17/2)) • (x-(17/2)) =

(x-(17/2))2

Things which are equal to the same thing are also equal to one another. Since

x2-17x+(289/4) = 49/4 and

x2-17x+(289/4) = (x-(17/2))2

then, according to the law of transitivity,

(x-(17/2))2 = 49/4

We'll refer to this Equation as Eq. #3.2.1

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

(x-(17/2))2 is

(x-(17/2))2/2 =

(x-(17/2))1 =

x-(17/2)

Now, applying the Square Root Principle to Eq. #3.2.1 we get:

x-(17/2) = √ 49/4

Add 17/2 to both sides to obtain:

x = 17/2 + √ 49/4

Since a square root has two values, one positive and the other negative

x2 - 17x + 60 = 0

has two solutions:

x = 17/2 + √ 49/4

or

x = 17/2 - √ 49/4

Note that √ 49/4 can be written as

√ 49 / √ 4 which is 7 / 2

Solve Quadratic Equation using the Quadratic Formula

3.3 Solving x2-17x+60 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 1

B = -17

C = 60

Accordingly, B2 - 4AC =

289 - 240 =

49

Applying the quadratic formula :

17 ± √ 49

x = —————

2

Can √ 49 be simplified ?

Yes! The prime factorization of 49 is

7•7

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 49 = √ 7•7 =

± 7 • √ 1 =

± 7

So now we are looking at:

x = ( 17 ± 7) / 2

Two real solutions:

x =(17+√49)/2=(17+7)/2= 12.000

or:

x =(17-√49)/2=(17-7)/2= 5.000

Two solutions were found :

x = 12

x = 5

Step-by-step explanation:

please mark my answer in brainlist

8 0
2 years ago
Other questions:
  • betty had $40 in her pocket. She bought 12 identical bags of popcorn. Betty was left with $10 after buying popcorn. What was the
    12·2 answers
  • What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?
    11·2 answers
  • Name the first 10 perfect squares. Why are they perfect squares?"​
    12·1 answer
  • What is the slope between the points (9 -1) and (-2 5)
    5·2 answers
  • You are a host at a restaurant. You make $7.75 per hour. You work 17 hours each week and are paid biweekly. How much is your pay
    6·2 answers
  • What does | | around a number mean? <br><br>ex: |3|
    13·1 answer
  • Which list is in order from least to greatest?
    5·2 answers
  • Please help me i'm struggling!
    5·1 answer
  • A person is standing 24 feet away from a street light that is 25 feet tall. How tall is he if his shadow is 6 feet long?
    5·1 answer
  • Find the equation of the parabola with points (-3,15), (0,-6), &amp; (2,10)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!