How can you find the sum of the first 5 consecutive positive integers? You can easily add the numbers mentally—the sum is 15. But what if you want to find the sum of the first ​n ​consecutive whole numbers? Keep this question in mind and make some conjectures about a formula.

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

y = 2x + 7 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = - 4 + c ⇒ c = 4 + 4 = 8

y = 2x + 8 → D

Answer:

6x+y=13

Step-by-step explanation:

Answer:

the standard form of y=5x+0.5 is B=-5x+y=0.5

Answer:

the answer is 5x - y= -0.5

Answer:

10k

Step-by-step explanation:

Answer:

10k

Step-by-step explanation:

distribute the 5 to the 2 and leave the k

Answer:

D.  45/8

Step-by-step explanation:

The value of function g (7) is,

⇒ g(7) = 45/8

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function is,

⇒ g(x) = 7/8x - 1/2

Now, Plug x = 7 in above equation,

⇒ g(x) = 7/8x - 1/2

⇒ g(7) = 7/8 (7) - 1/2

⇒ g(7) = 49/8 - 1/2

⇒ g(7) = 49/8 - 4/8

⇒ g(7) = 45/8

Thus, The value of function g (7) is,

⇒ g(7) = 45/8

Learn more about the function visit:

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Answer: 45

Step-by-step explanation:

4567

Answer100-80= 2x2x2x4:

Step-by-step explanation:

Answer:

y = x - 13

Step-by-step explanation:

Given parameters:

  Slope of the line  =  1

  Coordinate = (18, 15)

Unknown:

Equation of the line in slope-intercept format = ?

Solution:

The equation of a line is expressed as;

         y  =  mx + c

where y and x are the coordinates

          m is the slope

          c is the y-intercept

Now, sine x = 18 and y = 5, let us find c;

        5 = 1(18) + c

      5 = 18 + c

       c = -13;

 The equation of the line is;

       y  = 1(x) + (-13)

       y = x - 13

the least common multiple of 14, 15, amd 16 is 1680

Answer:

it would be b

Step-by-step explanation:

Answer:

In algebra, we begin to see variables or letters that are used to represent numbers. An example of a mathematical expression with a variable is 2x + 3. In the expression 2x + 3, the coefficient of x is number 2, and it means 2 times x plus 3.

Answer:

x=3

Step-by-step explanation:

1/4(12x + 4) - 14= -1/2(8x - 16)

1. Simplify each side my multiplying

3x - 13 = -4x + 8

2. Add 13 on each side

3x = -4x + 21

3. Add 4x  on each side

7x = 21

x=3

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Sum of the interior angles of any triangle equal 180° .

Thus ;

[tex](x + 20) + 3x + 60 = 180[/tex]

[tex]4x + 80 = 180[/tex]

Subtract sides 80

[tex]4x + 80 - 80 = 180 - 80[/tex]

[tex]4x = 100[/tex]

Divide sides by 4

[tex] \frac{4}{4} x = \frac{100}{4} \\ [/tex]

[tex]x = 25[/tex]

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Answer: definitely x=25

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Both 0.684 and 0.1222 are rational

Answer:

B.

Step-by-step explanation:

Because 0.12222222.... and 0.684 are rational numbers.

Pls consider marking my answer as Brainliest! It would mean a lot!

Multiply the amount of book Robin read by 1/2.

3/4 x 1/2 = 3/8

Mark read 3/8 of the book.

Step-by-step explanation:

Please write complete question

Answer:

lol u gotta put the thing first bro

Step-by-step explanation:

Answer:

Position = -5

Step-by-step explanation:

The number line is not shown, however the question can still be answered.

Given

Start Point: +2

Left Movement: 3.5cm and 7.9cm

Right Movement: 4.8cm

Required

Determine the Ant's position

To do this, we treat all left movements as negative and all right movements as positive.

So, we have:

Position = 2 - 3.5 - 7.9 + 4.8

Position = -4.6

Since the number line is spaced by 1cm, we have to approximate to the nearest integer.

Position = -5

Answer:

1. x= 17

2. x= 31

3. x= 4

4. x= 40

Step-by-step explanation:

first one:

you pass the 10 dividing

x-7 = 100/10  ----> x-7 =10

Pass the 7 adding

x = 10+7 ---> x= 17

second one:

Pass the 7 multiplying

x+11= 6*7 ---> x+11= 42

Pass the 11 in substraction

x = 42-11  ----> x =31

third one:

Add the 3+8 = 11

Pass the 11 dividing

x*11 = 44 -----> x= 44/11 ---> x= 4

fourth one:

Rest the 8-4 = 4

Pass the 4 multiplying

x/ 4 = 10 -----> x = 4*10 ---> x= 40

Answer:

Have a Spoopy Halloween lol its 9x-3

Step-by-step explanation:

(6x+1/2)+(3x-3 1/2)

= 6x+3x-3 1/2+1/2

= 9x-3

Answer:

[tex]9x - \frac{6}{2} [/tex]

Step-by-step explanation:

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

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Answer:

i believe its D

Step-by-step explanation:

Answer:

0.2143

Step-by-step explanation:

Let A be the event denote that getting into a car accident and B be the event denote being a texter-and-driver.

Thus, P(A)=0.04, P(B)=0.14.

P(A or B)=0.15.

We have to find P(A/B).

P(A/B)=P(A and B)/P(B)

P(A and B)= P(A)+P(B)-P(A or B)

P(A and B)=0.04+0.14-0.15

P(A and B)=0.03.

Thus, P(A/B)=0.03/0.14

P(A/B)=0.2143 (rounded to four decimal places)

Thus, the probability a person was in a car accident given that they are a texter-and-driver is 0.2143. This probability is higher than the probability among the general population because texting while driving is fatal.

Answer:

g(x) = f(x+1) + 1

Step-by-step explanation:

Since the graph is only moved you don't have to worry about the slope.

To move the graph to the left you add to the x and in this case, it only moved 1 over.

to move the graph up you add to the whole function and in this case, it only moved up 1.

Answer:

If you multiply four negative numbers, what is the sign of the product? positive

If you multiply five negative numbers, what is the sign of the product? negative

Based on the answers to these questions and the product rules, write a general rule for the sign of the product based on the number of negative numbers in the expression.

even numbers of negative= positive

odd number equals= negative

Step-by-step explanation:

hope this helps

Answer:

if you multiply 4 negative numbers, sign of product is positive

if you multiple 5 negative numbers, sign of product is negative

Step-by-step explanation:

a negative times a negative is positive. to figure out the sign of a product, we can use -1 as an easy example.

[tex]-1*-1*-1*-1=1\\-1*-1*-1*-1*-1=-1[/tex]

Answer:

a. m∠1 = 75°

b. m∠2 = 46°

c. m∠3 = 59°

d. m∠4 = 59°

e. m∠5 = 46°

f. m∠7 = 121°

g. m∠8 = 59°

h. m∠9 = 62°

i. m∠10 = 118°

j. m∠11 = 59°

k. m∠13 = 118°

i. m∠14 = 62°5

Example 5

m∠1 =78°

m∠2 = 102°

m∠3 = 59°

m∠4 = 102°

m∠5 =  38

m∠6 = 142°

m∠7 = 38°

m∠8 = 142°

m∠9 = 78°

m∠11 = 78°

m∠12 =  102°

m∠13 = 38°

m∠14 =  142°

Step-by-step explanation:

a. m∠1 ≅ m∠6 (Alternate angle theorem)

m∠1 = m∠6 = 75° (Definition of congruency)

m∠1 = 75°

b. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)

m∠5 = 121° - 75° = 46°

m∠5 = 46°

m∠2 ≅ m∠5 (Alternate angle theorem)

m∠2 = m∠5 = 46° (Definition of congruency)

m∠2 = 46°

c. m∠3 = 180 - (m∠1 + m∠2) (Angle subtraction and sum of angles on a straight line)

m∠3 = 180 - (75 + 46) = 59°

m∠3 = 59°

d. m∠4 = 180 - (m∠1 + m∠5)

m∠4 = 180 - (75 + 46) = 59°

m∠4 = 59°

e. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)

m∠5 = 121° - 75° = 46°

m∠5 = 46°

f. m∠7 = m∠12 = 121° (Alternate angle theorem)

m∠7 = 121°

g. m∠8 = 180 - m∠7 = 180 - 121 = 59°

m∠8 = 59°

h. m∠9 + m∠5 + m∠8 = 180 (The sum of the interior angles of a triangle)

m∠9 = 180 - (59 + 59) = 62°

m∠9 = 62°

i. m∠10 = 180 - m∠9 = 180 - 62 = 118°

m∠10 = 118°

j. m∠11 = m∠8 = 59°

m∠11 = 59°

k. m∠13 = m∠10 = 118°

m∠13 = 118°

i. m∠14 = m∠9 = 62°

m∠14 = 62°

Example 5

m∠5 = m∠7 = 38

m∠5 =  38°

m∠6 = 180 - 38 = 142°

m∠6 = 142°

m∠8 = m∠6 = 142°

m∠8 = 142°

m∠12 = m∠10 = 102°

m∠12 =  102°

m∠11 = 180 - m∠12 = 180 - 102 = 78°

m∠11 = 78°

m∠9 = m∠11 = 78°

m∠9 = 78°

m∠1 = m∠9 = 78°

m∠1 =78°

m∠3 = 78°

m∠2 = m∠4 = m∠10 = 102°

m∠13 = 360 - (m∠3 + m∠6 + m∠12) = 360 - (78 + 142 + 102) = 38°

m∠13 = 38°

m∠15 = 38°

m∠14 = m∠16 = 180 - m∠15 = 180 - 38° = 142°

m∠14 =  142°

m∠16 = 142°