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julsineya [31]
3 years ago
12

Someone help w these tw

Mathematics
1 answer:
Bumek [7]3 years ago
8 0

1. The simplified expression is 10x+8y-12.

Combine like terms to simplify the expression.

-6x-12+8y+16x

-6x and 16x are both like terms, so those can be combined.

-6x+16x=10x

10x+8y-12

2. The solution to the equation is x=13.

Solve by adding 17 to both sides of the equation.

-4=-17+x

-4+17=-17+17+x

13=x

You might be interested in
which function grows at fastest rate for increasing values of x? h(x) = 6x^2+1 , f(x) = 9x +14, g(x)= 4^x
mezya [45]
Hi there! The answer is g(x) = 4^x.

The function g(x) is an exponential function, and these functions grow faster than linear or quadratic formulas.
7 0
3 years ago
Read 2 more answers
Write an equation for the sentence "The product of a number n and 7.7 equals 112.42." Solve for the variable.
pishuonlain [190]

Answer:

7.7n=112.42

n=14.6

Step-by-step explanation:

The product is the result obtained by multiplying two factors. Then, the sentence ""The product of a number n and 7.7 equals 112.42" can be expressed with the following equation:

7.7n=112.42

To solve for the variable "n", you has two apply the Division property of equality and divide both sides of the equation by 7.7

Therefore, the value of "n" is:

\frac{7.7n}{7.7}=\frac{112.42}{7.7}\\\\n=14.6

8 0
3 years ago
State whether the lines are parallel, perpendicular,or neither.
cluponka [151]

Answer:

Please check the explanation.

Step-by-step explanation:

  • Two lines are parallel if their slopes are equal.
  • Two lines are perpendicular if the product of their slope is -1

We also know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

Given the lines

1)

  • y = 6х - 3

Comparing with y=mx+b, the slope of y = 6х - 3:

m₁=6  

  • y = - 1/6x + 7

Comparing with y=mx+b, the slope of y = - 1/6x + 7:

m₂=-1/6

As

m₁ × m₂ = -1

6 ×  - 1/6 = -1

-1 = -1

Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.

2)

  • y = 3x + 2

Comparing with y=mx+b, the slope of y = 3x + 2:

m₁=3  

  • 2y = 6x - 6

simplifying to write in slope-intercept form

y=3x-3

Comparing with y=mx+b, the slope of y=3x-3:

m₂=3

As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.

i.e. m₁ = m₂ → 3 = 3

Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.

3)

  • 8x - 2y = 3

simplifying to write in slope-intercept form

y = 4x - 3/2

Comparing with y=mx+b, the slope of y = 4x - 3/2:

m₁=4  

  • x + 4y = - 1

simplifying to write in slope-intercept form

y=-1/4x-1/4

Comparing with y=mx+b, the slope of y=-1/4x-1/4:

m₂=-1/4

As

m₁ × m₂ = -1

4 ×  - 1/4 = -1

-1 = -1

Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.

4)

  • 3x+2y = 5

simplifying to write in slope-intercept form

y = -3/2x + 5/2

Comparing with y=mx+b, the slope of y = -3/2x + 5/2:

m₁=-3/2  

  • 3y + 2x = - 3

simplifying to write in slope-intercept form

y = -2/3x - 1

Comparing with y=mx+b, the slope of y = -2/3x - 1:

m₂=-2/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

5)

  • y - 5 = 6x

simplifying to write in slope-intercept form

y=6x+5

Comparing with y=mx+b, the slope of y=6x+5:

m₁=6  

  • y - 6x = - 1

simplifying to write in slope-intercept form

y=6x-1

Comparing with y=mx+b, the slope of y=6x-1:

m₂=6

As the slopes of y - 5 = 6x and y - 6x = -1 are equal.

i.e. m₁ = m₂ → 6 = 6

Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.

6)

  • y = 3х + 9

Comparing with y=mx+b, the slope of y = 3х + 9:

m₁=3  

  • y = -1/3x - 4

Comparing with y=mx+b, the slope of y =  1/3x - 4:

m₂=1/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

8 0
2 years ago
Factor the expression using the GCF.<br><br> 18h+30k<br><br> The factored form is <br> .
Murljashka [212]

Answer:

6(3h+5k)

Step-by-step explanation:

18h+30k

Factors of 18:

1, 2, 3, 6, 9, 18

Factors of 30:

1, 2, 3, 5, 6, 10, 15, 30

GCF of 18 and 30: 6

18h+30k = 6(3h+5k)

Check your answer:

6(3h+5k)

6(3h) + 6(5k)

18h + 30k

Hope this helps!

7 0
2 years ago
A meteorologist keeps hourly temperature records over the course of several years in order to look for long-term variations. Thi
Aleks04 [339]

Answer:

Observational study

Step-by-step explanation:

There are 3 types of statistical study:

1) Experimental: Under this, any experiment is done on a certain group of population.

2) Observational: Under this study, the events are observed regularly and the record is made.

3) Survey : Under this study, a survey is conducted with a a group of population and the record is made.

According to question, A meteorologist keeps hourly temperature records over the course of several years in order to look for long-term variations, this is an example of <u>observational study</u>.

4 0
3 years ago
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