Is y a function of x? Or not?
And explain?

Answer:

[tex]\huge\boxed{y=4x-7}[/tex]

Step-by-step explanation:

Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept

Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.

Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.

The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.

The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.

Now that we know both changes, we can divide the change in y by the change in x.

[tex]\frac{16}{4}=4[/tex]

Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).

[tex]y=4x+b[/tex]

Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).

Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.

[tex]y=4x-7[/tex]

Hope this helped!

Answer:

25(b) + 4 = 129

Step-by-step explanation:

b=5

25(5) + 4=129

Answer:

Step-by-step explanation:

Statement1. ∠KJL ≅∠LMK (A)

Reason1. Given

Statement2. ∠JKL≅∠MLK (A)

Reason2. Given

Statment3. KL≅KL (S)

Reason3. Reflexive propriety

Statemnt 4. ΔJKL≡ΔLMK

Reason 4. AngleAngleSide congruency theorem

Answer:

Number of package sold = 24 package

Step-by-step explanation:

Given:

Total number of package = 36

Remain package = 8

Computation:

Number of package sold = Total number of package - Remain package

Number of package sold = 36 - 8

Number of package sold = 24 package

Answer: Yes, The measure of DCF is degrees.

Answer:

Yes this statement is correct.

Step-by-step explanation:

just mental math

The statement given that ∠OLF = ∠OMG is found to be; Correct from theorem of corresponding angles.

We are told that;

BC is parallel to CF

Now, we are told that;

∠OLF = ∠OMG

We can see that line DH is a transverse line that crosses the two parallel lines given as BG and CF

Now, according to theorem of corresponding angles, the angle's that are formed when two parallel lines are crossed by a transverse line are said to be equal because they correspond to one another.

In conclusion, it is true from corresponding angles that ∠OLF and ∠OMG are equal.

Read more about corresponding angles at; https://brainly.com/question/12054594

Answer:

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is  

[tex]y=mx+b[/tex]

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

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y  = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

[tex]x-2y=4[/tex]

solving for y to writing the equation in the slope-intercept form and determining the slope

[tex]x-2y=4[/tex]

Add -x to both sides.

[tex]x - 2y + (-x) = 4+(-x)[/tex]

[tex]-2y = 4 - x[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{-x+4}{-2}[/tex]

[tex]y=\frac{1}{2}x-2[/tex]

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Answer:

i have

Step-by-step explanation:

i dont even know good luck

Answer:

None of the options match

Step-by-step explanation:

First let's check option 1: lines 2 and 3.

line 2 in mx+b form: y=-1/16x -5

line 3, already in mx+b form: y=-6x-7

if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.

now for the 2nd option: lines 1 and 2.

line 1 in mx+b form: y=-8x-5

line 2 in mx+b form: y=-1/16x-5

Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.

For the 3rd option: all lines

this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.

Lastly, 1 and 4.

line 1 in mx+b form: y=-8x-5

line 4 --> y+3=18x-18 --> y=18x-21

This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.

To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...

Answer:

D

Step-by-step explanation:

We have the four lines:

[tex]\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)[/tex]

Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.

So, let’s determine the slope of each line.

For Line 1, we can rewrite our equation as:

[tex]y=-8x-5[/tex]

So, the slope of Line 1 is -8.

We can rewrite Line 2 as:

[tex]\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}[/tex]

So, the slope of Line 2 is -6.

The slope of Line 3 is also -6.

And the slope of Line 4 is 1/8.

So, the slopes of perpendicular lines must be negative reciprocals.

The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.

Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.

For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.

So, they will instead of parallel instead of perpendicular.

And Line 1 is perpendicular only to Line 4, and no other line.

Therefore, our answer is D.

Answer:

56.25 B (haha troll go brrr)

Step-by-step explanation:

the ratio of the triangle measurements are:

60/45=75/x

60x=3375

x=56.25, therefore the distance of the new bridge is 56.25

Answer:

she have feed 26 or 27

Step-by-step explanation:

I am confused it's 26 or27

Answer:

B,C&F

Step-by-step explanation:

-2x>-4

multiplied by -1 gives 2x<4

And you devide both sides by 2 you get x<2

The numbers smaller than 2 in your options are 1,1.5 and -2

Answer:

Step-by-step explanation:

((3×5)+4)/5=

19/5

The improper fraction is 19/5.

We have to convert [tex]3 \dfrac{4}{5}[/tex]  it into an improper fraction.

To convert into an improper fraction calculation must be done in a single unit following all the steps given below.

                    [tex]= \dfrac{3 \times 5 + 4}{5}[/tex]

                    [tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]

Hence, The improper fraction is 19/5.

To know more about Fractions click the link given below.

https://brainly.com/question/21449807

Answer:

T=10c+2p

Step-by-step explanation:

Answer:

A.f(x)

Step-by-step explanation:

Sup dude it's been a while since khelcee talked to us.

Answer:8.5

Step-by-step explanation:

Answer:

step one

find the difference between marked price and the selling price, which is 24-15.50=8.5

step two apply the formula which is, difference divided by marked or original price and then multiple by 100

eg (8.5÷24) × 100= 35.4

so now round off to the nearest percent that's 35%

Answer:

B

Step-by-step explanation:

Answer:

acute angle

Step-by-step explanation:

just took the test

Answer:

v ≤  − 1   or  Always true

Step-by-step explanation:

I hope this helps!

Answer:

v ≤  − 1

Step-by-step explanation:

Answer:

40.17

Step-by-step explanation:

4 ten: 4 × 10 = 40

17 hundredth: 17 × 0.01 = 0.17

4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17

p=2(l+b) =2(3x-3) =6x=48=x=8

Answer: It’s 8

Step-by-step explanation:

Step-by-step explanation:

BODMAS

155.5-5.5*20.7

155.5-113.85

=41.65

Answer:

41.65

Step-by-step explanation:

155.5-(5.5*20.7) order of operation

155.5-113.85=

41.65

Answer:

$12 per ticket

Step-by-step explanation:

if 13 movie tickets cost $36 the cost per ticket is how much will a tiket cost

36/13= $12

Answer:

Max Value: x = 400

General Formulas and Concepts:

Algebra I

Calculus

Step-by-step explanation:

Step 1: Define

[tex]f(x) = \frac{1}{\sqrt{800-2x} }[/tex]

Step 2: Identify Variables

Using U-Substitution, we set variables in order to integrate.

[tex]u = 800-2x\\du = -2dx[/tex]

Step 3: Integrate

Step 4: Identify Domain

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

Answer:

(114.123, 115.877)

Step-by-step explanation:

Given that :

Sample size (n) = 500

Mean = 23% of 500 = 115

Standard deviation (s) = 2% of 500 = 10

α = 95%

Zcritical at 95% = 1.96

Confidence interval = Mean ± Error

Error = Zcritical * standard deviation /sqrt (n)

Error = 1.96 * 10/sqrt(500)

Error = 0.8765386

Lower boundary : 115 - 0.8765386 = 114.1234614

Upper boundary : 115 + 0.8765386 = 115.8765386

(114.123, 115.877)

Answer:

3/4

Step-by-step explanation:

you can write it in a different form by simplifying. 6/2 = 3. 8/2 = 4 so the answer is 3/4

Answer:

2000

Step-by-step explanation:

Answer:

2,000

Step-by-step explanation:

the reason of this is the one becomes a two so the other numbers go to zero

then there is a possible another answer 1060 but i think it is wrong so the answer is 2,000.

if you like my question please send brainiest thanks.

Answer:

(x,y)= (-3,-6)

Step-by-step explanation:

Answer:

Substitution substitution

Step-by-step explanation:

(-3,-6)

or

x= -3 y=-6