The graph of linear function f passes through the point (1, -8) and has a slope of 2. What is the zero of f?

Answer:

[tex]y = -\frac{2}{5} x-6[/tex]

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

[tex]m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\[/tex]  

So, the slope of the line is [tex]-\frac{2}{5}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] into the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{2}{5}[/tex]  in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

[tex]y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6[/tex]

Answer:

Here is the answer

And I have a problem

Step-by-step explanation:

Answer:

your cute to

Step-by-step explanation:

Answer:

lol id.k

Step-by-step explanation:

if they cute too say " ty u too;)"

jp I'm bad at giving advice...

Answer:

C

X=-16

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Answer:

Choice 2

Step-by-step explanation:

If im wrong im so sorry

If im right can i hav brainliest plz?

Answer:

b

Step-by-step explanation:

So you start at x-axis work your way down to the y-axis and you get your answer.

Answer:

The answer is c

Step-by-step explanation:

Bc I said so answer is always c

Answer:

I think it's line "A"

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

4x - 2(x + 4) = 22

Distribute:

4x - 2x - 8 = 22

Combine like terms:

2x - 8 = 22

Simplify and solve:

2x = 14

x = 7

Answer:

4x-2x-8=22

2x-8=22

2x=30

x=15

Answer:

8p=t

Step-by-step explanation: Snap add?

Answer:

8p = t

Step-by-step explanation:

Length of one string = p

Length of all the strings (t) = p × 8

                                            = 8p

Thus, 8p = 7

Answer:

slope of line one: 2/4 or 1/2

line two: 6/1

line 3: 6/3 or 2

line 4: -4/1

to find the slope of a line, you have to use rise/run the number of space going along the y-axis is the rise, and the space of the points on the x-axis is the run.

hope this helps!

Answer:

The answer is choice first which is "When x = 3, both expressions have a value of 30".

Step-by-step explanation:

Given:

First expression: [tex]4(x+3)+2x[/tex]

Second expression: [tex]6(x+2)[/tex]

Through the question when we substitute x=3 into its first equation so we get:

[tex]\to 4(3+3)+2(3) \\\\ \to 4\times (6)+6\\\\ \to 24+6\\\\ \to 30[/tex]

The value will be substituted by x=3 into its second expression:

[tex]\to 6(3+2)\\\\ \to 6(5)\\\\ \to 30[/tex]

So, it will prove that both the two expressions are equivalent.

Answer:

12

Step-by-step explanation:

12(5-4)=96

60-48=12 means it's not five

12(9-4)=96

108-48=60 means it's not 9

12(12-4)=60

144-48=96 so answer is 12

Answer: $574

Step-by-step explanation:

First we need to calculate the price of the snowboard before the addition of the tax. This will be represented by x. Therefore,

6% of x = $32.50

0.06 × x = $32.50

0.06x = $32.50

x = $32.50 / 0.06

x = $541.67

Therefore, the total cost including the sales tax will be:

= $541.67 + $32.50

= $574.17

= $574

Answer: bank R for 1 year

Step-by-step explanation:

Given

Principal deposit is [tex]P=\$600[/tex]

Bank Q offers 1% interest compounded annually

Bank R offers 1.5% simple interest annually

For Bank Q, Compound interest is given by

[tex]\Rightarrow P[1\frac{R}{100}]^t-P[/tex]

for 1 year it is

[tex]\Rightarrow 600[1+\frac{1}{100}]-600=\$6[/tex]

For bank R, simple interest is

[tex]S.I.=\dfrac{P\times R\times T}{100}[/tex]

for 1 year it is

[tex]\Rightarrow S.I.=\dfrac{600\times 1.5\times 1}{100}=\$9[/tex]

Clearly, bank R offers more interest for 1 year

Answer:

x = 13 units ; y = 13√2 units

Step-by-step explanation:

Answer:

4000

Step-by-step explanation:

To solve :

36 = 0.9% of w ; solve for w

36 = 0.9/100 * w

36 = 0.009w

Divide both sides by 0.009

36/0.009 = 0.009w / 0.009

4000 = w

Hence, the number, w equals 4000

Answer:

22

Step-by-step explanation:

The y values increase by 2 every time so 18+2=22

Answer:

1. 7

Step-by-step explanation:

Answer:

x = 7 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

hopes this helps

Answer: My best guess is 10 (sqrt of 2)

Step-by-step explanation:

Answer: You add all the numbers.

Step-by-step explanation:

7 + 7 + 5 + 5 = 24.

:)

Answer:

a. 4 (or maybe like 3.5)

b. 6

Step-by-step explanation:

a. Going from x = 0 to x = 8, it is obvious that y goes down 4 or 4.5 units during this stretch. This gives an approximate slope of -3/8. With this in mind, it can be easily calculated that going the remaining distance from x = 8 to x = 10, the value of y will be approximately 4 or so.

b. A dot literally is right next to (6, 6).

Answer:

(3,1) should be the answer

Step-by-step explanation:

Hope this helps!

The ordered pair at this point is (3,1)

Suppose the graph is drawn on the coordinate plane.

Let the shifting be (x,y) → (x+a, y+b)

Then, add 'a' to all x coordinates of the graph's points. Add 'b' to all y coordinates of the graph's points.

The resultant set of new points will be plotted.

Given;

From origin; move to right 3units

                     move upward 1unit

Moving to right 3units;

(0,0)= (3,0)

Move upward 1unit;

(3,0)= (3,1)

Therefore, the point on graph after shifts will be (3,1)

Learn more about graphs here:

https://brainly.com/question/26254258

#SPJ2

Answer:

I dont know good luck :)

Step-by-step explanation:

peace

Answer:

AAS

Step-by-step explanation:

Angle K is congruent to Angle N (given), Angle H is congruent to itself (reflexive property), and side JH is congruent to side MH (given).

Answer:

I think its true

Step-by-step explanation:

Answer:

b and c

Step-by-step explanation:

box-and-whiskers plot shows the shape of the distribution, its central value, and its variability.