5(x-7y)+8(3x+2y)= simplify

Answers

Answer 1

Answer:

It is 29x - 19y

Step-by-step explanation:

[tex]5(x - 7y) + 8(3x + 2y)[/tex]

open brackets:

[tex] = 5x - 35y + 24x + 16y[/tex]

group like terms together:

[tex] = (5x + 24x) + (16y - 35y)[/tex]

factorise out x and y :

[tex] = x(5 + 24) + y(16 - 35) \\ = 29x - 19y[/tex]


Related Questions

Can we please have some help

Answers

I believe A=2 and B=6, sorry if I’m wrong

Is quadrilateral DEFG a parallelogram? Why or why not?
Question 2 options:

A)

Yes, because adjacent angles aren't supplementary.

B)

No, because adjacent angles aren't congruent.

C)

There isn't enough information.

D)

Yes, because opposite angles are congruent.

Answers

Answer:

D ig?

Step-by-step explanation:

Because opposite angles are equal in parallelogram

You have two cards with a sum of (-12) in your hand.
Add two more cards but the total of cards stay the same

Answers

Answer:

you could have a 6 and then a -6

or a 3 and a -3

or 0 and 0

have 2 cards with the same number but one is negative

Step-by-step explanation:

Find all points on the curve x^2y^2+xy=2 where the slope of the tangent line is −1

Answers

Differentiate both sides with respect to x and solve for the derivative dy/dx :

[tex]\dfrac{\mathrm d}{\mathrm dx}\left[x^2y^2+xy\right] = \dfrac{\mathrm d}{\mathrm dx}[2] \\\\ \dfrac{\mathrm d}{\mathrm dx}\left[x^2\right]y^2 + x^2\dfrac{\mathrm d}{\mathrm dx}\left[y^2\right] + \dfrac{\mathrm d}{\mathrm dx}\left[x\right]y + x\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ 2xy^2 + x^2(2y)\dfrac{\mathrm dy}{\mathrm dx} + y + x\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ (2x^2y+x)\dfrac{\mathrm dy}{\mathrm dx} = -2xy^2-y \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{2xy^2+y}{2x^2y+x}[/tex]

This gives the slope of the tangent to the curve at the point (x, y).

If the slope of some tangent line is -1, then

[tex]-\dfrac{2xy^2+y}{2x^2y+x} = -1 \\\\ \dfrac{2xy^2+y}{2x^2y+x} = 1 \\\\ 2xy^2+y = 2x^2y+x \\\\ 2xy^2-2x^2y + y - x = 0 \\\\ 2xy(y-x)+y-x = 0 \\\\ (2xy+1)(y-x) = 0[/tex]

Then either

[tex]2xy+1 = 0\text{ or }y-x=0 \\\\ \implies y=-\dfrac1{2x} \text{ or }y=x[/tex]

In the first case, we'd have

[tex]x^2\left(-\dfrac1{2x}\right)^2+x\left(-\dfrac1{2x}\right) = \dfrac14-\dfrac12 = -\dfrac14\neq2[/tex]

so this case is junk.

In the second case,

[tex]x^2\times x^2+x\times x=x^4+x^2=2 \\\\ x^4+x^2-2 = (x^2-1)(x^2+2)=0[/tex]

which means either

[tex]x^2-1 = 0 \text{ or }x^2+2 = 0 \\\\ x^2 = 1 \text{ or }x^2 = - 2[/tex]

The second case here leads to non-real solutions, so we ignore it. The other case leads to [tex]x=\pm1[/tex].

Find the y-coordinates of the points with x = ±1 :

[tex]x=1 \implies y^2+y=2 \implies y=-2 \text{ or }y=1 \\\\ x=-1\implies y^2-y=2\implies y=-1\text{ or }y=2[/tex]

so the points of interest are (1, -2), (1, 1), (-1, -1), and (-1, 2).

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. 4/3 divided 7/4

Answers

Answer:

so we have 4/3 divided by 7/4

= 4/3 * 4/7

= 4*4/3*7

= 16/21

Step-by-step explanation:

answer from gauth math

16/21 is the answer to the question

-1/3 - (-1/2) plz help I am confused

Answers

Answer:

[tex] \frac{ - 1}{3} - ( - \frac{1}{2} ) \\ \frac{ - 1}{3} + \frac{1}{2} ( - \times - = + ) \\ = \frac{ - 2 + 3}{6} \\ = \frac{1}{6} \\ thank \: you[/tex]

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] - \frac{1}{3} - ( - \frac{1}{2} )[/tex]

[tex] - \frac{1}{3} + \frac{1}{2} [/tex]

[tex] \frac{ - 2 + 3}{ 6} [/tex]

[tex] = \frac{1}{6} [/tex]

19. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is (a) 20 (b) 23 (c) 169 (d) None of these​

Answers

Answer:

B

Step-by-step explanation:

Let the two numbers be a and b.

The product of the two is 120 and their sum of their squares is 289. In other words:

[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]

And we want to find the sum of the two numbers.

We can use the perfect square trinomial. Recall that:

[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]

From the first equation, multiply by two:

[tex]2ab = 240[/tex]

Add the two equations together:

[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]

Simplify and rewrite:

[tex]a^2+2ab+b^2 = 529[/tex]

Factor using the perfect square trinomial pattern:

[tex](a+b)^2 = 529[/tex]

And take the square root of both sides:

[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]

Hence, the sum of the two numbers is 23 or -23.

In conclusion, our answer is B.

Subtract. Write your answer in simplest form.
5/- 10/5

Answers

Answer:

-1/10

Step-by-step explanation:

(5/(-10))/5 = -(5/10)/5 = 1/10

(Hopefully this helped you out!)

Help meeeeeeeeeeeeeeeee

Answers

Answer:

x-3

Step-by-step explanation:

the inverse is x-3

this is the answer

Given f(x) = x − 7 and g(x) = x2 .

Find g(f(4)).

g(f(4)) =
]

Answers

9514 1404 393

Answer:

  g(f(4)) = 9

Step-by-step explanation:

Put the argument value where the variable is and do the arithmetic.

  g(f(4)) = g(4 -7) = g(-3) = (-3)^2

  g(f(4)) = 9

Tanner earns 12.50 per hour at his after school job he worked 11.75 hours this week how much did tanner earn this week? Pls do step by step

Answers

Answer:

He earned $146.875

Step-by-step explanation:

12.5 an hour for 11.75 hours

So you just do 11.75 x 12.5 which is 146.875

Answer:

146. 88

Step-by-step explanation:

12.50×11.75

=146.88

Solve UW. how do I get the answer?

Answers

Answer:

UW = 67

Step-by-step explanation:

UW = 6x - 35

VW = 4x - 20

UV = 19

So that means

4x - 20 + 19 = 6x - 35

4x - 1 = 6x - 35

-1 = 2x - 35

34 = 2x

x = 17

6(17) - 35

102 - 35 = 67

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

19 + ( 4x - 20 ) = 6x - 35

4x - 1 = 6x - 35

2x = 34

x = 17

UW = 6(17) - 35 = 67

help me plz now plz help me asap​

Answers

[tex]\\ \sf\longmapsto 0.49=\dfrac{49}{100}[/tex]

[tex]\\ \sf\longmapsto 0.093=\dfrac{93}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.021=\dfrac{21}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.103=\dfrac{103}{1000}[/tex]

Plz help ASAP need fast plz will mark Brainlyist

Answers

Answer:

The correct answer is the third one. CIRCUMFERENCE

Which of the equations is shown by the shaded area of the model? A. 0 . 29 + 0 . 37 = 0 . 63 B. 0 . 34 + 0 . 23 = 0 . 57 C. 0 . 36 + 0 . 27 = 0 . 63 D. 0 . 24 + 0 . 33 = 0 . 57

Answers

Answer:

is there anyway you could show the Shaded area of the model because I can't answer it without is that part of the picture showing. Thank you

5 1/6•(-2/5)=
Answer as a fraction

Answers

-31/15 is the correct answer

Tom works at a car dealership selling cars. If he makes $4000 a month and $250 per car he sells, how much did he
make in July if he sold 12 cars? In August he made $6500, how many cars did he sell?

Answers

Answer:

Answer = he made 7,000 in July and sold 10 cars in august.

Step-by-step explanation:

Order the numbers from least to greatest

Answers

Answer:

B

Step-by-step explanation:

It just is

what is the mid point of (27,3) and (18,-1)

Answers

Answer:

(22.5 , 1)

Step-by-step explanation:

Midpoint formula= [tex]\frac{x^1+x^{2} }{2} +\frac{y^{1} +2^{2} }{2} =Midpoint[/tex]

[tex]\frac{27+18}{2}[/tex]=22.5

3+-1=2

2/2=1

So, midpoint is (22.5 , 1)

You can also graph it out and use Pythagorean theorem but that would overcomplicate the problem.


Find the coordinates of the point 7/10 of the way from A to B A -3,-7 B 11,4

Answers

9514 1404 393

Answer:

  (6.8, 0.7)

Step-by-step explanation:

That point is ...

  A + (7/10)(B -A)

  = (-3, -7) +(7/10)(11 -(-3), 4 -(-7)) = (-3, -7) +7/10(14, 11)

  = (-3, -7) +(9.8, 7.7) = (6.8, 0.7)

The point 7/10 from A to B is (6.8, 0.7).

the result of a multiplication of two or more
terms

Answers

Answer:

Product

Step-by-step explanation:

Product is the result of a multiplication of two or more terms.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

B=Product

C=polynominal

D=distirbutive property

Step-by-step explanation:

Does anyone know this and can help please

Answers

Answer:

[tex]\frac{y^7z^3}{x}[/tex]

Step-by-step explanation:

When variables have negative exponents, switch their positions.

[tex]\frac{x^{-1}y^7}{z^{-3}}=\frac{y^7z^3}{x}[/tex]

HURRY WILL GIVE BRANLIEST!!!!!!!

Answers

Answer:

√17

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a ratio of two integers. Or in other words, an irrational number can't be expressed as a fraction. You really cant divide one integer by another integer to get √17, so that makes it an irrational number.

Can someone help me with this question?​

Answers

Answer:

1. Y

2. YX , YZ

3. X

4. XZ

Which expression is another way to write 10,000?

10 × 10 × 10

10 × 10 × 10 × 10

10 × 10 × 10 × 10 × 10

10 × 10 × 10 × 10 × 10 × 10

Answers

Answer:

it's the second one

Step-by-step explanation:

the number of zeros behind the first number is the amount of tens! hope it helps!

1000x10
Is Another Way To Write It

The vertical side of a right triangle measures 6 inches, and the horizontal side measures 8 inches
1.Write the ratio of the distance of the vertical side to the distance of the horizontal side as a reduced fraction
2.If the original triangle were enlarged by 3 times, what would the new dimensions be?
3.Does the ratio of vertical side to horizontal side change when scaling up? Explain.

Answers

9514 1404 393

Answer:

3/4vertical: 18 in; horizontal: 24 inno change

Step-by-step explanation:

1. The ratio is ...

  (6 in)/(8 in) = 6/8 = 3/4

__

2. The scaled dimensions are ...

  6 in × 3 = 18 in (vertical side)

  8 in × 3 = 24 in (horizontal side)

__

3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.

Is [tex]2 \frac{2}{3} [/tex]
a rational number​

Answers

Yes it’s a rational number.

75 is what percent of 96?

Answers

75 is what percent of 96? = 78.13.
Let x be 75% of 96
x = 75/100 * 96 [Since % = 1/100]
x = 7200/100
x = 72
Thus, 75% of 96 is 72.

Need help ASAP PLEASE!!!

Answers

Answer:

x=1

Step-by-step explanation:

3/2+1/2x=2x

or,3*1+1*1x/2=2x

or,4x/2=2x

or,4x-2x=2

or,x=2/2

so,x=1

Two trains leave towns 1285 kilometers apart at the same time and traveled towards each other. One train travels 17 km/h faster than the other. If they meet in 5 hours what is the rate of each train

Answers

Distance = (Rate)(Time)

Let x = speed of slower train

     x + 17 = speed of faster train

The trains meet when the sum of the distances = 1285

5x + 5(x+17) = 1285

(5 came from 5 hours)

10x + 85 = 1285

10x = 1200

 x = 120 mph

The speeds are 120 mph and 137 mph

wyzant

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