9x - 4= 2x + 3
-—-——-—-

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

9x−4=2x+3 Move all terms containing x to the left side of the equation.

7x−4=3 Move all terms not containing x to the right side of the equation.

7x=7 Divide each term by 7 and simplify. x = 1


Related Questions

Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.​

Answers

Answer:

Step-by-step explanation:

1 pair of wings = 3/4 yard fabric

We know that 1 yard of fabric = $8

1 pair of wings = $8 x 3/4 = $6

Therefore total cost = $6 x 13 = $78

The total cost of the fabric is $ 78

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of pairs of butterfly wings = 13 pairs

The amount of fabric used in 1 pair of butterfly wings = 3/4 yards

The cost of 1 yard of fabric = $ 8

Now , the equation will be

The cost of 3/4 yard of fabric = 3/4 x cost of 1 yard of fabric

                                                = 3/4 x 8

                                                = 3 x 2

                                                = $ 6

Now , the equation is

The total cost of fabric for 13 pairs of butterfly wings =
13 x cost of 3/4 yard of fabric

The total cost of fabric for 13 pairs of butterfly wings = 13 x 6

                                                                                       = $ 78

Therefore , the cost is $ 78

Hence , The total cost of the fabric is $ 78

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Mid point between (0,0) (11,9)

Answers

9514 1404 393

Answer:

  (5.5, 4.5)

Step-by-step explanation:

The midpoint coordinates are the average of the end point coordinates.

  ((0, 0) +(11, 9))/2 = (11, 9)/2 = (5.5, 4.5) . . . midpoint

The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. Find an equation for the parabola that passes through the points (−1, −11), (1, −5), and (2, −8).

Answers

Putting (-1, -11) in given equation, we get :

-11 = a + -b + c    ....1)

Similarly putting (1, −5) and (2, −8) we get :

-5 = a + b + c      ....2)

-8 = 4a + 2b + c ....3)Adding equation of 1) and 2) we get :

2( a + c ) = -6

a + c = -3

Solving equation 1 , 2 and 3 ,we get :

a = -2 , b = 3 , c = -6

Therefore, equation of parabola is :

y = -2x² + 3x -6

Hence, this is the required solution.

what is the slope of the line

Answers

Answer:

M=[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

M=[tex]\frac{rise}{run}[/tex]

From left to right, the line goes down. Therefore, it is a negative slope.

[tex]-\frac{3}{4}[/tex]

How many significant figures are in the number: 9003

Answers

Answer:

4

Step-by-step explanation:

Let f and g be the functions defined by f(t) = 2t2 and g(t) = t3 + 4t.
1) Determine f'(t) and g′(t).
2) Let p(t) = 2t2 (t3 + 4t) and observe that p(t) = f(t) ⋅ g(t). Re-write the formula for p by distributing the 2t2 term. Then, compute p′(t) using the sum and constant multiple rules.
3) p′(t) = f′(t) ⋅ g′(t).
A. True
B. False
4) Let q(t) = t3 + 4t2/2t2 and observe that q(t) = g(t)/f(t). Rewrite the formula for q by dividing each term in the numerator by the denominator and simplify to write q as a sum of constant multiples of powers of t. Then, compute q′(t) using the sum and constant multiple rules.
5) q′(t) = g′(t)/f'(t).
A. True
B. False

Answers

Answer:

1) [tex]f'(t)=4t,\ g'(t)=3t^2+4[/tex]

2) [tex]p(t) =2t^5+8t^3[/tex]

[tex]p'(t)=10t^4+24t^2[/tex]

3) False

4)[tex]q(t) =\dfrac{1}{2}t+2t^{-1}[/tex]

[tex]q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]

5) False

Step-by-step explanation:

Given that:

[tex]f(t) = 2t^2[/tex] and [tex]g(t) = t^3 + 4t[/tex]

Formula:

[tex]1. \dfrac{d}{dx}x^n=nx^{n-1}[/tex]

[tex]2. \dfrac{d}{dx}C.f(x)=C.f'(x)\ \{\text{C is a constant}\}[/tex]

1) Using above formula:

[tex]f'(t)=2\times 2 t^{2-1}=4t[/tex]

[tex]g'(t)=3t^{3-1}+4\times 1 t^{1-1}=3t^2+4[/tex]

2) [tex]p(t) =2t^2(t^3+4t)[/tex]

Rewriting the formula by distributing the [tex]2t^2[/tex] term:

[tex]p(t) =2t^2.t^3+2t^2.4t=2t^5+8t^3[/tex]

[tex]p'(t) = 10t^4+24t^2[/tex]

3) By using answers of part (1):

[tex]f'(t).g'(t)=12t^3+16t[/tex]

[tex]p'(t) = 10t^4+24t^2[/tex]

Therefore it is False that [tex]p'(t) = f'(t).g'(t)[/tex]

4) [tex]q(t)=\dfrac{t^3+4t}{2t^2}[/tex]

Writing by distributing:

[tex]q(t)=\dfrac{t^3}{2t^2}+\dfrac{4t}{2t^2}\\\Rightarrow q(t) =\dfrac{t}{2}+\dfrac{2}{t}\\\Rightarrow q(t) =\dfrac{1}{2}t+2t^{-1}[/tex]

Using the formula:

[tex]q'(t)=\dfrac{1}{2}t^{1-1}+2\dfrac{-1}{t^2}\\\Rightarrow q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]

(5)By using answers in part (1):

[tex]\dfrac{g'(t)}{f'(t)}=\dfrac{3t^2+4}{4t}=\dfrac{3}{4}t+\dfrac{1}t[/tex]

[tex]q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]

Therefore, it is False that:

[tex]q'(t)=\dfrac{g'(t)}{f'(t)}[/tex]

How long is the blue ribbon if the red ribbon is 12 inches

Answers

Answer:

can I have more info plz

Jacob's hourly salary is $11.00. If Jacob works more than 40 hours a week, then Jacob gets overtime pay at 1 and 1/2 times the regular hourly rate for each hour worked over 40 hours. Last week, Jacob worked 49 hours. What was the total pay last week?

Answers

Answer:

588.50

Step-by-step explanation:

11.00 x 40 = 440

16.50 x 9 = 148.5

Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?​

Answers

Answer:

See referenced question

Step-by-step explanation:

Refer to this answer:

https://brainly.com/question/18638278

Attached is the question in original form

Find a polynomial function of degree 3 with real coefficients and the numbers 6, 3i as some of its zeros.

Answers

Answer:

A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].

Step-by-step explanation:

A third-order polynomial in standard form is a sum of monomials with natural exponentials such that greatest degree of monomials is 3. This kind of polynomials is described by this definition:

[tex]p_{3}(x) =\Sigma\limits_{i=0}^{3} c_{i} \cdot x^{i}[/tex] (Eq. 1)

Where:

[tex]i[/tex] - Index of a sum component, dimensionless.

[tex]c_{i}[/tex] - i-th coefficient, dimensionless.

Where the highest value of [tex]i[/tex] is the degree of the polynomial.

In addition, the Fundamental Theorem establishes that all polynomials with real coefficients and degree higher than zero have a number of complex roots, an extension of the real set, equivalent to the degree of the polynomial itself.

In our case, we guarantee the existence of three complex roots, of which we know two of them: [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex]. The polynomial can be represented as a product of three binomials:

[tex]p_{3}(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3})[/tex] (Eq. 2)

Where [tex]r_{1}[/tex], [tex]r_{2}[/tex] and [tex]r_{3}[/tex] are the roots of the third order polynomial.

If we know that  [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex] and assume that [tex]r_{3} = -i\,3[/tex], the resulting polynomial is:

[tex]p_{3} (x) = (x-6)\cdot (x+i\,3)\cdot (x-i\,3)[/tex]

And by Algebra of real numbers we obtain the polynomial in its standard form:

[tex]p_{3}(x) = (x-6)\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x\cdot (x^{2}+9)-6\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x^{3}+9\cdot x -6\cdot x^{2}-54[/tex]

[tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex]

A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].

PLEASE HELP URGENT !! (What is the slope of the line on the graph?)

What is the slope of the line on the graph?

Answers

Answer:

2/6

1/3 simplified

Rise over run

choose any two points on the graph and do rise over run

A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. What integer represents a
loss of 750 points?

Answers

-750 because a loss which is negative and if you do -750-(9000) you will get a total of 9750.

An integer is a whole number that can be positive, negative, or zero and is not a fraction. The integer that represents a loss of 750 points is -750.

What is an integer?

An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

Given that a contestant in a game show has 9,000 points. Further, The contestant answers the next question incorrectly and loses 750 points.

Now, since the 750 points are a loss and will be deducted from the total points, therefore, these 750 points can be represented by -750.

Hence, the integer that represents a loss of 750 points is -750.

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make a table and graph the solutions of each equation y=3x+1

Answers

Answer:

i can't graph it but i'll give you the points to graph

Step-by-step explanation:

(-2, -5) (-1,-2) (0,1) (1,4) (2,7)

start at the point in bold

I need help please ​

Answers

Answer:

n=1/3

Step-by-step explanation:

Answer:

There’s no error

Step-by-step explanation:

The manufacturer of a soccer ball claims that only 3% of the soccer balls produced are faulty. An employee of this company examines the long-run relative frequency of faulty soccer balls produced as shown in the graph.

A graph titled Faulty Soccer Balls has frequency on the x-axis, and probability on the y-axis. The graph levels out around y = 0.06.

Which conclusion can be drawn from this graph?

The company’s claim seems to be true because the graph shows that when 50 soccer balls were tested, only about 3% of them were faulty.
We should not believe the company’s claim that only 3% of their soccer balls are faulty because this graph shows a continuous increase in probability.
Because the graph shows that the probability of producing a faulty soccer ball is 0.03, we can believe the company’s claim that only 3% of the produced soccer balls are faulty
The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

D. The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.

Step-by-step explanation:

A regular pentagon (5 sides) is rotated about its center. By which angle could the pentagon be rotated so that it is mapped onto itself?
A
45 degrees

B
60 degrees

C
72 degrees

D
90 degrees

Answers

Answer: Your answer is C, 72 degrees.

Step-by-step explanation:

A pentagon is a polygon with 5 vertices. A polygon can be rotated 360 degrees in total. Since this shape has 5 vertices, it can be rotated on every vertex to get the same figure, or in other words, it being mapped onto itself. Therefore, 360 degrees divided by 5 vertices is 72 degrees.

Question 6 (5 points)
TD
What is the distance between point C and point D?
A) 185 units
O
B) 12 units
C) 17 units
D) 13 units

Answers

Answer:

C

Step-by-step explanation:

Answer:13

Step-by-step explanation:

Miguel gave 5 items to the clerk at the store. Before taxes were added the total was 36.00. If each item was priced the same, what is the cost of one of the items?

Answers

Answer:

$7.20

Step-by-step explanation:

$36.00 for 5 items.

Divide $36.00 by 5 to find the price of 1 item.

$36/5 = $7.20

I need a few help on these questions...

Answers

Look it up on google

Solve the system of equations. show your work/explain how you found your answer.
2x-4y=10
x+5=40

Answers

Answer:

Look at step-by-step explanation

Step-by-step explanation:

Work on the second equation first.

x + 5 = 40

Get all variables on one side:

x = 35

You now have the answer for the variable of x, use this on the first equation:

2x-4y=10

2(35)-4y=10

Subtract 70 from both sides:

70-4y=10

Divide both sides by neagtive 4:

-4y=-60

y=15

Change the given equation into slope-intercept form:
1. - 2 + y = -x

Answers

rearrange the equation, so it would be y = -x+2

you want to give it into a y=mx+b form

Brian May, guitarist for Queen, does not know how to price his signature Antique Cherry Special that cost him £340 to make. He knows he wants 80% markup on cost. What price should Brian May ask for the guitar?

Answers

9514 1404 393

Answer:

  £612

Step-by-step explanation:

If Brian wants to add 80% of the cost to the cost, the selling price will be ...

  £340(100% +80%) = £340·1.80 = £612

Brian May should ask £612 for the guitar.

Karen scored a 76 on an exam meaning is 74 and one standard deviation of eight. Find her Z score.

Answers

Answer:

0.25

Step-by-step explanation:

(76-74)/8

=2/8

=1/4

=0.25

jessica has 56 arcade tickets to give away she gives them all to her 8 friends who share them equally how many tickets does each friend get?

Answers

Each of the friends get 7 tickets

PLEASE HELP AS FAST AS YOU CAN ASAP DUE IN 30 MINUTES!!!!

the prism is made up of unit cubes. the side length of the unit cube is 1/4 inch

what us the volume of the prism

A. 3/8
B. 8
C. 24
D. 1/64

please explain as well

Answers

Answer:

C

<$&#&#;#;#;#;#

Step-by-step explanation:

1/4= 4x6=24

Answer:

C

Step-by-step explanation:

Suppose set A contains 336 elements and the total number elements in either set A or set B is 642. If the sets A and B have 78 elements in common, how many elements are contained in set B?

Answers

Answer:

math

Step-by-step explanation:

Form a polynomial function f(x) with the given degree and zeros. You can leave your answer in factored form.
Degree 7; zeros: -7, i, 3-1, -6i

Answers

Answer:

Your search - Form a polynomial function f(x) with the given degree and zeros. You can leave your answer in factored form. Degree 7; zeros: -7, i, 3-1, -6i - did not match any image results.

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

What is 18 x 2 x (3 + 4) x 3 + 6

Answers

Answer:

762

Step-by-step explanation:

[tex]18 \times 2 \times (3 + 4) \times 3 + 6[/tex]

Follow PEMDAS order of operation

[tex]3 + 4 = 7 \\ 18 \times 2 \times 7 \times 3 + 6 \\ 18 \times 2 \times 7 \times 3 = 756 \\ 756 + 6 = 762[/tex]

Answer:

762

Step-by-step explanation:

We need to use BODMAS method

B - Brackets

O - Power

D - Division

M - Multiplication

A - Addition

S - Subtraction

__________________

Workout

First Brackets

- (3 + 4) = 7

Then multiplication

18 x 2 = 36

36 x (3 + 4) = 36 x 7 = 252

252 x 3 = 756

Lastly Adding

756 + 6 = 762

Answer = 762

___________________

Hope you understand

:-)

15.9687194227 rounded to the nearest tenth

Answers

Answer:

i think its 16

Step-by-step explanation:

Answer:

16.0

Step-by-step explanation:

Nearest tenth place value is the digit directly to the right of the decimal point. Locate the tenth place value. It will be underlined and bolded:

15.968194227

Look at the number directly right of the given term. Note that:

If the digit is 5 or greater, round up.

If the digit is 4 or less, round down.

Since the digit is 6, round up.

15.968194227 rounded to the nearest tenth is 16.0

~

D is the midpoint of CE and EC = 18. Find the length of DE

Answers

Answer:9

Step-by-step explanation:

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