Chapter 3 - What is the Slope?

The equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

As it is needed that the line must be perpendicular to the y-axis, therefore, the slope of the line will be 0 and the value of y will be 0. Also, it is given that the line passes through (4, 7). Therefore, the equation in slope-intercept form for the line is,

y = mx + c

7 = 0(4) + c

c = 7

Hence, the equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.

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Answer:

15

Step-by-step explanation:

12-k

12- (-3)

12+3

=15

Answer:

15

Step-by-step explanation:

Substitute the variable, "k" into "12-k" from the equation "k=(-3).

12-k

12-(-3)

12+3---> two negatives make a positive

15

Answer:

Not a solution.

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

y = -2x + 5

Solution (-4, 15)

Step 2: Check

Here we see that 15 is NOT equal to 13. Therefore, it is NOT a solution to the equation.

Answer:

i think its b

Step-by-step explanation:

im so sorry if im wrong

Answer:

lol thats unclear

Step-by-step explanation:

ssadfa dwa0w 23w dsac 62wa6 w

Answer:

If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck

Step-by-step explanation:

Answer: A and D

Step-by-step explanation:

Dependent events mean that one event depends on the outcome of the previous event.

A) If the first roll is a 3, and we want to sum more than 7 with the second roll, then the possible outcomes 5 and 6. Now if the first roll is 4, then the possible outcomes for the second event will be 4, 5 and 6. So you can see how the outcome space of the second event changes depending on the first event, so the events are dependent.

B) Here we do not have dependence, each event only depends on it's own outcome.

C) Again, both events only depend on it's own outcome, so the events are not dependent.

D) This is similar as the case for A, these events are dependent because is not the same if the outcome of the first event is 3, than if the outcome is 5 (the outcome needed for the second roll changes depending on the outcome of the first event)

E) Same as B and C, the events are independent.

Answer:

A:The total cost will increase by $4 for every game bowled

Step-by-step explanation:

$4 per game not 3 games or 4 game is per game

The correct statement is:

The total cost will increase by $4 for every game bowled.

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

Given:

Total cost of bowling = 4x + 3y

where x is the number of games.

Now, every time the game played they charged it for $4 per game.

So, when there 2 games then the charges will be $8 for two games.

Hence, the correct statement is The total cost will increase by $4 for every game bowled.

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Answer:

x= 2/3  or in decimal form 0.6(the 6 repeats) hope this helps

Step-by-step explanation:

divide each side by the factors that do not contain the variable in this case the variable is x

Answer:

would be 3

Step-by-step explanation:

if 1 is 1 ,3 would be 3 ;-;

Answer:

.60

Step-by-step explanation:

Answer:

46 miles per hour. I think I've haven't had a problem as easy as this so I was overthinking a lot

Step-by-step explanation:

in the graph the line is passing through points (2,92) and the time is going by two's so you just divide to get the constant

Answer:

46 miles per hour

Step-by-step explanation:

2x46=92

92÷2=46

92-46=46

Answer:

0.085 round to the nearest thousandth

Answer:

[tex]\frac{10}{117}[/tex]

Step-by-step explanation:

Convert the decimal into a fraction

9/100 ÷ 1.053

Convert the decimal into a fraction

9/100 ÷ 1053/1000

To divide by a fraction, multiply by the reciprocal of that fraction

9/100 × 1000/1053

Reduce the number with the greatest common factor 100

9 × 10/1053

Reduce the number with the greatest common factor 9

10/117

Solution

10/117

Alternate form

0.85470

Answer:

57

Step-by-step explanation:

13 x 5= 65

2 x 0= 0

6 x -2= -12

4

add

57  

Answer:

$3.52

Step-by-step explanation:

$0.88 x 4 = $3.52

(I love Chef Boyardee stuff)

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Answer:

I think 35 is R

Step-by-step explanation:

10+15=25 and 60-25 is 35.

Answer:

Function f is symmetric around point (4, -1). This point is the minimum of the function f

Step-by-step explanation:

The vertex-form of the quadratic function is y = a(x - h)² + k, where

Let us solve the question

→ From the given graph

∵ The graph represents a quadratic function f(x)

∵ It has the lowest vertex

∴ The vertex is minimum

∵ The coordinates of the vertex are (4, -1)

∵ The is symmetric around the vertex point

∴ The function is symmetric around point (4, -1)

Function f is symmetric around point (4, -1). This point is the minimum of the function f

Answer:

negative 70 (-70)

Step-by-step explanation:

below sea level, so below zero, would be -70

Answer:

-70

Step-by-step explanation:

Its below it would be in the negatives

the answer for this is A because I calculated it

Answer:

4 dollars

Step-by-step explanation

Answer:

Step-by-step explanation:

Given

f(x)= 2x – 3 and g(x) = 3/2x + 1

f(0)= 2(0)-3

f(0) = -3

g(0) = 3/2(0)+1

g(0) = 0+1

g(0) = 1

Hence since -3 < 1, this means that f(0)<g(0)

Also;

f(8)= 2(8)-3

f(8) = 16-3

f(8) = 13

g(8) = 3/2(8)+1

g(8) =12+1

g(8) = 13

This shows that g(8) = g(8)

Hence g(8) = g(8)  is a true statement

Answer:

(1000*5)= 5000*.075= 375. then 5000+375=5,375

Answer: 9.691x107

Simplifies to:

9.691x10000000

=9.691x10000000

Step-by-step explanation: haha hopes this helps!

5 km = 5000 meters

66 minutes = 3960 seconds

Meters per second = 5000/3960 = 1.26

The answer is A.1.26

Answer:

no the input 3 has 2 outputs so it would be D

Step-by-step explanation:

its not a funtion becues theres not a padern

a funtion would be like this

input 1, 3, 5, 7, 9

output 3, 6, 9, 12

thats a funtion

Answer:

x=10/3

Step-by-step explanation:

Answer: 10/3

Step-by-step explanation:

Let's solve your equation step-by-step.

Step 1: Subtract 2x from both sides.

Step 2: Subtract 4 from both sides.

Step 3: Divide both sides by 3.

Answer:

6.03 seconds

Step-by-step explanation:

Given

[tex]y = -16t\² + 96t + 3[/tex]

To solve this, we simply set the height to 0.

i.e. [tex]y = 0[/tex]

So, we have:

[tex]-16t\² + 96t + 3 = 0[/tex]

Solve using quadratic formula.

[tex]t = \frac{-b+-\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = -16[/tex]

[tex]b = 96[/tex]

[tex]c = 3[/tex]

[tex]t = \frac{-96+-\sqrt{96^2 - 4 * -16 * 3}}{2 * -16}[/tex]

[tex]t = \frac{-96+-\sqrt{9216 +192}}{-32}[/tex]

[tex]t = \frac{-96+-\sqrt{9408}}{-32}[/tex]

[tex]t = \frac{-96+-96.9948452239}{-32}[/tex]

[tex]t = \frac{-96+96.9948452239}{-32}[/tex] or [tex]t = \frac{-96-96.9948452239}{-32}[/tex]

[tex]t = \frac{0.9948452239}{-32}[/tex] or [tex]t = \frac{-192.994845224}{-32}[/tex]

[tex]t = -0.031088913245535[/tex] or [tex]t = 6.0310889132455[/tex]

Since time can't be negative, we have:

[tex]t = 6.0310889132455[/tex]

[tex]t = 6.03\ seconds[/tex] (approximated)

Answer:

last graph

Step-by-step explanation:

Step-by-step explanation:

the first option is the answer because the exponent always stands base 10 power a value or (10^n)

Answer:

I would assume its 6/30. and the fact your asking this dumb of a question means you need to study first grade math instead of being on brainly.

Answer:

[tex]10\frac{7}{8}[/tex]

Step-by-step explanation:

You simply add the fractions up!

First thing is that [tex]\frac{1}{4} = \frac{2}{8}[/tex] So we can write the fractions as:

[tex]4\frac{2}{8} + 6\frac{5}{8}=4+6\frac{2+5}{8}=10\frac{7}{8}[/tex] tons of gravel was hauled.

Answer:

7 7/8  ton of gravel

Step-by-step explanation:

Its pretty easy actually. All you need to do is add 4 1/4 and 6 5/8.

Let's simplify it and then make a common denominator! (It is 8)

5   x  2  =  10

4   x  2  =  8

Then add:

10  x  53   =  64

8        8         8

Then simplify! And you get

7  7/8

Hope this helped!  :)