2a- 1-4 1/3a+ 7-a consider the linear expression what are the like terms in the expression simplify the linear expression​

Answer:

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

Step-by-step explanation:

3x-y=1

0.5[tex]x^{2}[/tex]+2x-1=y

Substitute the equation of y into the other equation

3x-(0.5[tex]x^{2}[/tex]+2x-1)=1

3x-0.5[tex]x^{2}[/tex]-2x+1=1

collect like terms

-0.5[tex]x^{2}[/tex]+x=0

Solve for x

x(-0.5x+1)=0

0=-0.5x+1

-1=-0.5x

x=2 x=0

Back substitute into the other original equation and solve for y

3(2)-y=1

6-y=1

y=5

(2,5)

3(0)-y=1

-1(-y)=-1(1)

y=-1

(0,-1)

Answer:

y = 3x - 13

Step-by-step explanation:

===================================================

Explanation:

Problem 1

If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us

u+v = <a+c,b+d>

The corresponding coordinates pair up and add together.

In this case we have

u = <-3,4>

v = <6,8>

So,

u+v = <-3+6,4+8>

u+v = <3,12>

---------------------

Problem 2

We follow the same idea as the previous problem.

w = <8,-1>

g = <-1,1>

w+g = <8+(-1),-1+1>

w+g = <7,0>

---------------------

Problem 3

Similar to addition, subtracting vectors has us subtract the corresponding coordinates.

The general template is:

u = <a,b>

v = <c,d>

u-v = <a-c,b-d>

With this in mind, we can say the following:

g = <-1,1>

z = <-3,-3>

g-z = <-1-(-3),1-(-3)>

g-z = <-1+3,1+3>

g-z = <2,4>

---------------------

Problem 4

Follow the same idea as problem 3 above.

v = <6,8>

u = <-3,4>

v-u = <6-(-3),8-4>

v-u = <6+3,8-4>

v-u = <9,4>

---------------------

Problem 5

Refer to problem 1.

y = <1,1>

v = <6,8>

y+v = <1+6,1+8>

y+v = <7,9>

---------------------

Problem 6

u = <-3,4>

h = v+y = y+v = <7,9>

u+v+y = u + h

u+v+y = <-3,4> + <7,9>

u+v+y = <-3+7,4+9>

u+v+y = <4,13>

Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.

Answer:

y = 1/3x

Step-by-step explanation:

Alright, so we have an equation with two variables (y and x) and I need to solve for y in terms of x. That is, I need to isolate y one one side with all the other terms on the other side.

First, let's distribute the 1/3 on the right side of the equation onto the x and 6 inside the parentheses.

y + 2 = 1/3(x + 6)

y + 2 = 1/3(x) + 1/3(6)

y + 2 = 1/3x + 2

Now, let's isolate y on the left side by removing 2 from both sides.

y + 2 = 1/3x + 2

y + 2 - 2 = 1/3x + 2 - 2

y = 1/3x

So, y is equal to 1/3x. Hopefully that's helpful! :)

[tex]4 + \sqrt{ - 16} \\ = 4 + \sqrt{ - 2 \times 2 \times 2 \times 2} \\ = 4 + 2\sqrt{ - 4} \\ = 2(2 + \sqrt{ - 4} )[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \sf\longmapsto 4+√-16[/tex]

[tex]\\ \sf\longmapsto 4+√16i[/tex]

[tex]\\ \sf\longmapsto 4+4i[/tex]

[tex]\\ \sf\longmapsto 4(1+i)[/tex]

Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.

This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

4- true

5-true

6-false

7-false

8-true

9-true

Step-by-step explanation:

Follow the letters and the sign of congruence

≅

Answer:

The number (5/3)³ written as a quotient of powers is; 5³/3³

According to the question;

We are required to determine write the number, (5/3)³ as a quotient of powers

The number (5/3)³ can be evaluated as;

= 125/27

= 5³/3³

Step-by-step explanation:

=============================================

Explanation:

m = Maggie's age (some positive whole number)

4m = four times her age

4m-7 = seven years younger than 4m = brother's age

Add up her age (m) and her brother's age (4m-7) to get a sum of 68.

m+(4m-7) = 68

5m-7 = 68

5m = 68+7

5m = 75

m = 75/5

m = 15

Maggie is currently 15 years old.

Her brother is currently 4m-7 = 4*15-7 = 60-7 = 53 years old.

Their current year ages add to: 15+53 = 68 which confirms the answer.

he is the best way to get a free agent and I ask 6262626

Answer:

Step-by-step explanation:

b = the number of boys, substitute below:

Correct choice is A

Answer:

95 is not a term here as the next verse should be 98 as it is a 94 term in this pattern

95 will not be a term in the sequence 1, 5, 9, 13, 17, ....., as the value of n for the nth term is not integer.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given sequence of numbers is,

1, 5, 9, 13, 17, .....

The first term of the given sequence a₁ =1,

From the given sequence, the common difference pair of two consecutive terms d = 4,

Let nth term of the sequence aₙ= 95,

By arithmetic sequence formula,

aₙ = a₁ + (n-1).d

Substitute the value of aₙ and d,

95 = 1 + (n-1).4

94 = (n-1). 4

(n-1) = 23.5

n = 24.5

The value of n can't be decimal, so 95 can't be a term of the given sequence.

To learn more about Arithmetic sequence on :

https://brainly.com/question/1452631

#SPJ2

Answer:

The easiest way to solve this system would be to use substitution since x is already isolated in the first equation. Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method

Step-by-step explanation:

In 8 gallons of gas the car can go = 400 miles

In 1 gallon of gas the car can go = 400/8

In 1 gallon of gas the car can go = 50 miles

How far can the car take you with 1 gallon of gas?​ With 1 gallon of gas, the car can go 50 miles.

Step by Step calculations:

We know that

With 8 gallons of gas, the car can go 400 miles

Then,

With 1 gallon of gas, the car can go

= 400 / 8

= 50 miles

Therefore, with 1 gallon of gas, the car can go 50 miles.

Learn more here : https://brainly.com/question/10153922

Answer:

18 dimes

Step-by-step explanation:

Since Leon has ”16 fewer than” it’s a symbol to subtract

34-16=18

Answer:

34-16=18 leon has 18 dimes

Step-by-step explanation:

hope this helps

-2x+10

Leave a comment if any doubt

Answer:

y=-5/2x+3/2

Step-by-step explanation:

5x+2y=3

2y=3-5x

2y=-5x+3

y=-5/2x+3/2

Answer:

Option B: [tex]y=\left \{ {{x^2+6,x<3} \atop {-x+6,x\geq3}} \right.[/tex]

Step-by-step explanation:

We can see that the first part of the piecewise function is a parabola with a y-intercept of (0,6) where the domain is restricted for all values of x less than 3 given the open circle at x=3.

The second part of the piecewise function is a linear function with a negative slope where the domain is restricted for all values of x greater than or equal to 3 given the closed circle at x=3.

Essentially, the piecewise function has a jump discontinuity at x=3 where the first part of the function goes to the second part of the function at one point by "jumping".

Answer: B = 90°; C = 60°

Step-by-step explanation:

B is obviously 90° because of the right angle quadrant.

Since it is a right triangle and A is already 30°, just subtract 30 from 90.

90 - 30 = 60

Thus, C is 60°.

Correct me if I am incorrect.

The price per foot is $0.91

Step-by-step explanation:

A 6-yard roll of butcher paper costs 16.38

1 yard = 3 foot

6 yards = 3 times 6 = 18 foot

the cost of 18 foot is $16.38

To find price per foot, we divide the cost of 6 yards by 18

16.38÷ 18 = 0.91

The price per foot is $0.91

Answer:

A. 85  B. 87  C. 60

Step-by-step explanation:

As shown in the shapes, A, is a full circle making 360 degrees full. B, a half circle making 180 degrees half. C, a full circle again making 360 degrees full.

A: [360-(132+63+80)]

360 - 275

=85

B: [180(60+33)]

180 - 93

=87

C: [360(120+60+120)]

360 - 300

=60

Answer:

sorry cant see the question

Step-by-step explanation:

Answer:

Yes. The factor is 3/2 (=1,5)

Step-by-step explanation:

They have all the 3 angles congruent, so they are similar. You calculate the scale factor by dividing the hypotenuse (for example) of the second triangle by the hypotenuse of the first one.

Answer:

1) yes 2) 1.5

Step-by-step explanation:

have a nice day! <:

Answer:

0.85

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

6

Step-by-step explanation:

Answer:

-486

Step-by-step explanation: