Find the slope of the line through (2, -3) and (-4, 3).

We have to simplify and get the value of x from this inequality given:

Given inequality,

[tex]3(x - 4) > 5x + 2[/tex]

Now let's simplify by using distributive property,

[tex]3x - 12 > 5x + 2[/tex]

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

[tex]3x - 12 - 5x - 2 > 0[/tex]

[tex] - 2x - 14 > 0[/tex]

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be reversed.

[tex] \dfrac{ - 2x - 14}{ - 2} > \dfrac{0}{ - 2} [/tex]

[tex]x + 7 < 0[/tex]

Now subtracting -7 from both sides,

[tex]x + 7 - 7 < 0 - 7[/tex]

[tex]x < - 7[/tex]

Or, Interval of the equal [tex](- \infin, -7 ][/tex]

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Answer:

it's A :)

Step-by-step explanation:

can I have brainlest please

The answer is m = -59/42

Step by step explanation is in the image below.

Given :

New York City has a population of 8.55 million and 300 square mile area .

Manhattan has 1.64 million and 23 square miles area .

To Find :

How much greater is the population density of Manhattan than New York City.

Solution :

Population density of New York City :

[tex]D_{NY}=\dfrac{8.55}{300}=0.029 \ million/mile^2\\\\D_{M}=\dfrac{1.64}{23}=0.071 \ million/mile^2[/tex]

Now ,

[tex]D_{M}-D_{NY}\\\\(0.071-0.029)=0.042\ million/miles^2[/tex]

Therefore , population density of Manhattan is [tex]0.042\ million/miles^2[/tex] greater than New York City .

Hence , this is the required solution .

Answer:

it is a scalar quantity because it involves magnitude only.

Step-by-step explanation:

Answer:

Asma can iron 5 shirts in 14 minutes.

She can iron 1 shirt in 14/5 minutes.

she can iron 35 shirts in (14/5)×35 minutes.

=98 minutes i.e1 hour 38 minutes

Answer:

Billy has $27.51

Step-by-step explanation:

First let's set up an equation to solve this problem.

Assign a variable to Billy's amount. Let's make it x.

Then we just interpret the problem and solve:

2x - 1.30 = 53.72

     +1.30    +1.30

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

2x = 55.02

(Divide by 2 on both sides)

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

x = $27.51

2x = Billy's amount doubled

2x - 1.30 = Taking away 1.30 from double Billy's amount

53.72 = Sara's amount

Answer:

Step-by-step explanation:

see attached

From the similar triangles value of x is √39. Therefore, option E is the correct answer.

From the given triangle, CD=13, BD=3 and AD=x.

Given that, ΔABD is similar to ΔCAD.

CD/AD = AD/BD

13/AD = AD/3

39 = AD²

AD = √39 = x

Therefore, option E is the correct answer.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ7

Answer:

False

Step-by-step explanation:

y=5x + 5

0=5 (5)+5

0=10+5

0≠15

False

Answer:

a = 1

Step-by-step explanation:

Step 1: Write equation

3(a - 1) + 2a = a + 1

Step 2: Solve for a

Distribute 3: 3a - 3 + 2a = a + 1

Combine like terms: 5a - 3 = a + 1

Subtract a on both sides: 4a - 3 = 1

Add 3 on both sides: 4a = 4

Divide both sides by 4: a = 1

Given:

Question:

2a - 4b

Step by step explanation:

Step 1:

2×2-4×(-3)

Step 2:

4-4(-3)

Step 3:

4+12

Step 4:

16

So 16 is correct answer

hope it helped you :)

Answer

16

Step-by-step explanation:

2×2-4×-3=

4+12=

16

Answer:

(-5,6)

Step-by-step explanation:

G(-5,4)=(x1,y1)

H(-5,8)=(x2, y2)

midpoint=?

now,

(x,y)= x1+x2/2     y1+y2/2

         -5-5/2        4+8/2

           -10/2          12/2

             -5              6

therefore the co ordinates of midpoint are(-5,6)

Answer:

4 gallons

Step-by-step explanation:

He needs 105 over 3 to fill all the cups. 1 gallon would be 10 and 2 third cups or 32 over 3. 2 gallons would be 21 and 1 third cups or 64 over 3. 3 gallons would be 32 or 96 over 3. 4 gallons would be 42 and 2 third cups or 128 over 3. So 4 gallons would fill up all 35 of his sisters 12 ounces cups. That would leave 7 and 2 third cups that hold the same amount. His sister gets all 35 of her 12 ounces each cups filled and he gets 7 and 2 thirds of new and unused 12 ounces cups. Basically out of the 4 gallons there would be 512 ounces and his sister with all 35 cups that hold 12 ounces each she would get 420 ounces. Which would leave him with 92 ounces of juice for himself. Hope this understandable and helpful.

Answer:

The answer is 40.1%

Step-by-step explanation:

I just took the test

The variation in the yearly salaries can be explained by the differences in employee ages up to 40.1%.

When given the correlation coefficient of two variables, you can find out how much of the variation in the dependent variable can be explained by the independent variable by the formula:

= (Correlation coefficient)² x 100%

= 0.633² x 100%

= 0.4007 x 100%

= 40.1%

In conclusion, 40.1% of the variation in salary can be explained by age.

Find out more at https://brainly.com/question/3560028.

Answer:

9x+37

Step-by-step explanation:

Answer:

9x + 37

Step-by-step explanation:

3[7x - 4(x - 3)] + 1

3[7x-4x+12] + 1

3[3x +12] +1

9x + 36 +1

9x + 37

be more specificlike what are the options

Answer:

the common difference is that it's taking away 4 or -4

Answer:

13ab

Step-by-step explanation:

5ab+9ab = 14ab. 14ab-1ab=13ab.

Good luck

Answer:

(7, - 1 )

Step-by-step explanation:

Given the 2 equations

2x + 4y = 10 → (1)

- 2x + y = - 15 → (2)

Adding the 2 equations term by term eliminates the term in x, that is

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 4(- 1) = 10

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Solution is (7, - 1 )

(7, - 1 )

Step-by-step explanation:

Given the 2 equations

2x + 4y = 10 → (1)

- 2x + y = - 15 → (2)

Adding the 2 equations term by term eliminates the term in x, that is

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 4(- 1) = 10

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Solution is (7, - 1 )

Answer:

Step-by-step explanation:

3(9x - 14/3x + 4 - 1 ≥ 2)

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6

13x ≥ -3

x ≥ -3/13

Answer:

x ≥ - [tex]\frac{3}{13}[/tex]

Step-by-step explanation:

Given

9x + [tex]\frac{2}{3}[/tex](- 7x + 6) - 1 ≥ 2

Multiply through by 3 to clear the fraction

27x + 2(- 7x + 6) - 3 ≥ 6 ← distribute and simplify left side

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6 ( subtract 9 from both sides )

13x ≥ - 3 ( divide both sides by 13 )

x ≥ - [tex]\frac{3}{13}[/tex]

Answer:

-15

I hope this helped! :)

Answer:

the answer is 6 just do the math and it's pretty easy

Steps to solve:

4 + (9 * 2) / (4 - 1) - 4

~Simplify what is in parenthesis

4 + (18) / (3) - 4

~Divide

4 + 6 - 4

~Add

10 - 4

~Subtract

6

Best of Luck!

We have ST=5x, TU=3x+32 and they're equal if T is the midpoint:

5x = 3x + 32

2x = 32

x = 16

ST = 5x = 80

So TU = 80 and SU=160

Answer: Second choice

Answer:

if the cake was full the slices remined were four

Answer:

2

Step-by-step explanation:

it is congruent

Answer:

Step-by-step explanation:

Given formula

Solving for T

Answer to a.

a. −14/15