2/3x + 4 = 2 Solve the equation algebraically show work to support the answer

Answer:

(- 3, - 1 )

Step-by-step explanation:

4x + 3y = - 15 → (1)

3y = 2x + 3 → (2)

Substitute 3y = 2x + 3 into (1)

4x + 2x + 3 = - 15

6x + 3 = - 15 ( subtract 3 from both sides )

6x = - 18 ( divide both sides by 6 )

x = - 3

Substitute x = - 3 into (2)

3y = 2(- 3) + 3 = - 6 + 3 = - 3 ( divide both sides by 3 )

y = - 1

solution is (- 3, - 1 )

[tex]\dfrac 13 \times \dfrac 15 = \dfrac 1{15}[/tex]

The product of the two fraction numbers whose result is 1/15 will be 1/3 and 1/5.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The result of the product of the two fraction numbers is given below.

1/15

The factor of the number 15 is given as,

15 = 3 x 5

Then the expression is written as,

1/15 = 1/ (3 x 5)

1/15 = (1/3) x (1/5)

The multiplication of the two rational numbers whose result is 1/15 will be 1/3 and 1/5.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

First, we need to figure out the number of kilometers.

if 5 cm is equivalent to 125 kilometers in real life this means

1 cm is equivalent to 25 kilometers making the conversion much easier.

36 centimeters multiplied by 25 is 900,  which means in real life the distance between Mr.Tomback's hometown and NYC is 900 kilometers.

900 km ÷ 80 kmh

= 11.25000000

= 11 hours

0.25000000 × 60

= 15.00000000

= 15 minutes

it will take him 11 hours and 15 minutes to get home to NYC

Answer:

Lower quartile 3, median 5, Upper quartile 7

Step-by-step explanation:

First divide the data in half  1 3 4  and 6 7 7

The median is the middle between 4 and 6, so it is 5.

The lower quartile is the median in the lower half, 3

The upper quartile is the median in the upper half, 7

Answer : 400 + 30 + 5

Step - by - step explanation : To write something in expanded form means to write the number individually. " To see the math value of individual digits ".

4 --> Since it's in the hundreds place that means the number is 400 !

3 --> Since it's in the tenths place that means the number is 30 !

5 --> Since it's the first digit that means it stays as the number 5 !

Hope this helped ! <33

Take care happy holidays ! Contact me if you need more help on this ! ( If you want )

Answer:

x >2

Step-by-step explanation:

*The exponential function gets steeper when x is greater than 2

Answer:

D. x>2 is the answer got it right

Answer:

[tex]8\sqrt{2}[/tex]

Step-by-step explanation:

To find the length of an isosceles triangle, you know that the angles of the triangle are 45-45-90, so let's use that triangle theorem.

Therefore, the length of the hypotenuse (BD) is [tex]x\sqrt{2}[/tex], and x is equal to 8 (length of BC).

[tex]x\sqrt{2}[/tex]

x=8

Therefore, [tex]8\sqrt{2}[/tex] would be the length of side BD.

Answer:

oh snap i have this question too sorry cant help :(

Step-by-step explanation:

but i can provide with advice bc is the side down and bd is across us this to your advantage

Answer:

2.0015305e+15 is the answer

Answer:

0

the answer is 0........

Answer:

C

Step-by-step explanation:

32 / 4  = 8

56 / 7 = 8

64 / 8 = 8

Answer: Second Choice

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

I think it would be 14 I hope it is right and it helps

Answer:

y = -6

x = 1

Step-by-step explanation:

-x + 2y = -13

-x - 2y = 11

Sum the equations:

-x -x = -2x

+2y - 2y = 0

-13 + 11 = -2

then

-2x = -2

x = -2/-2

x = 1

from the first eq.

-x + 2y = -13

-1 + 2y = -13

2y = -13 + 1

2y = -12

y = -12/2

y = -6

check:

from the second eq.

-x -2y = 11

-1 -(2*-6) = 11

-1 -(-12) = 11

-1 + 12 = 11

she will drive 754 miles in 13 hrs.

Answer:

The answer will be 0

Step-by-step explanation:

Let me know Hope it helps

The required value of "k" is 8. Option B is correct

Given the polynomial function

[tex]P(x) =2x^3-4x^2+kx-3[/tex]

What is remainder theorem?

The remainder theorem is a formula used to find the remainder when a polynomial is divided by a linear function.

If  this polynomial has a factor of x - 1 and remainder of 3, hence x = 1 and P(x) = 3. This means that P(1) = 3

[tex]P(1) =2(1)^3-4(1)^2+k(1)-3\\3 = 2-4+k-3\\6 = -2 + k\\k = 8\\[/tex]

Hence the required value of "k" is 8

Learn more on polynomial function  here: https://brainly.com/question/10881257

Answer:

D

Step-by-step explanation:

Answer:

brain less or i hack ur acc to ban

Step-by-step explanation:

u cant report me because im hacker

Answer:

(-∞, -1]

Step-by-step explanation:

−x−6≥−5

-x≥1

x≤-1

−2x−5>4

-2x>9

x<-9/2

So x < -9/2 V x ≤ -1

Answer:

(−∞,∞)

Step-by-step explanation:

5x - 4 ≤ - 3

5x ≤ 1

x ≤ [tex]\frac{1}{5}[/tex]

4x + 6 > 0

4x > - 6

x > - [tex]\frac{3}{2}[/tex]

Yes, because x turns to into 1/10.

Answer:

yoours

Step-by-step explanation:

thanks again for your time and consideration and I am a kid I am a kid

Answer:

x=-7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-5))/(-7-(-7))

m=(-2+5)/(-7+7)

m=3/(0)

undefined

x=-7.

Answer:

Value of x = 3

m∠HEB=27°

Step-by-step explanation:

1) CEH and HEB are complementary angles, therefore both of their angles added together will be 90 degrees

2) Set the two equations added together equal to 90 and solve for x

19x+6+9x=90

28x=84

x=3

3) Plug in x into 9x to get HEB

9(3)=27

Answer:

I think option a k.9

is correct

Answer:

[tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \frac{159}{10}[/tex]

General Formulas and Concepts:

Calculus

Integration

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Property [Splitting Integral]:                                                               [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle f(x) = \left \{ {{9x^9 ,\ 0 \leq x \leq 1} \atop {4x^3 ,\ 1 \leq x \leq 2}} \right.[/tex]

[tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \ ?[/tex]

Step 2: Integrate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

Step-by-step explanation:

[tex]\int\limits^1_0 {9x^9} \, dx +\int\limits^2_1 {4x^3} \, dx[/tex]

=[tex]\frac{9x^{10}}{10} |_0^1 + x^4|_1^2[/tex]

[tex]=\frac{9}{10}+2^4 -1 = 15\frac{9}{10}[/tex]

Answer:

B (x-7<-6)

Step-by-step explanation:

x < 1

Answer:

1.5 miles / hour

Step-by-step explanation:

The question is most easily done by converting to decimals

3/4 = 0.75 miles

1/2 = 0.5 hours

Formula

r = d/t

Solution

r = 0.75 miles / 0.5 hours

r = 1.5 miles per hour