What is the equation of a line that has a slope of -1/2 and a y-intercept of 3?

Express your answer in slope-intercept form.

Answer:

Answer:

[tex]2x + y = 4 \\ 3x - y = 2 \\ y = 4 - 2x \\ 3x - (4 - 2x) = 2 \\ 3x - 4 + 2x = 2 \\ 3x + 2x = 2 + 4 \\ 5x = 6 \\ x = \frac{6}{5} \\ x = 1.2 \\ y = 4 - 2x \\ y = 4 - 2(1.2) \\ y = 4 - 2.4 \\ y = 1.6 \\ [/tex]

Step-by-step explanation:

Hope that this is helpful.

Have a great day.

Answer:

The value of x is 8/5.

Step-by-step explanation:

[tex]\sf \leadsto \dfrac{2x - 5}{3} + \dfrac{3}{5} = 0[/tex]

[tex]\sf \leadsto \dfrac{10x - 25 + 9}{15} = 0[/tex]

[tex]\sf \leadsto \dfrac{10x - 16}{15} = 0[/tex]

[tex]\sf \leadsto 10x - 16 = 0[/tex]

[tex]\sf \leadsto 10x = 0 + 16[/tex]

[tex]\sf \leadsto 10x = 16[/tex]

[tex]\sf \leadsto x = \dfrac{16}{10}[/tex]

[tex]\sf \leadsto x = \dfrac{8}{5}[/tex]

Answer:

x = 1 3/5 or 8/5

Step-by-step explanation:

Answer:

∠ E = 57°

Step-by-step explanation:

Since DF = EF then the triangle is isosceles with 2 base angles congruent , so

∠ E = ∠ D = 4x + 1

The sum of the 3 angles in the triangle = 180°

Sum the 3 angles and equate to 180

4x + 1 + 4x + 1 + 5x - 4 = 180 , collect like terms

13x - 2 = 180 ( add 2 to both sides )

13x = 182 ( divide both sides by 13 )

x = 14

Then

∠ E = 4x + 1 = 4(14) + 1 = 56 + 1 = 57°

Answer:

y-intercept is (0, -4)

x-intercept is (-5, 0)

Step-by-step explanation:

Remember the x-intercept and the y-intercept are the points on the graph where the line crosses the x-axis and the y-axis respectively.

We can find the x intercept and the y intercept a couple of ways. One way is to graph the line, which I will do later. The other way is to do a little math.

The equation of a line in y-intercept form is

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

where b = the y-intercept

In our equation above and solving for y we get the y-intercept is -4

[tex]4x + 5y = - 20 \\ 5y = - 4x - 20 \\ y = - \frac{4}{5} x - 4[/tex]

Doing more algebra and solving for x we get the x intercept is negative 5.

[tex]y = - \frac{4}{5} - 4 \\ y + 4 = - \frac{4}{5} x \\ x = - \frac{5}{4} y - \frac{20}{4 } \\ x = - \frac{5}{4} y - 5[/tex]

Answer:

[tex]x=\frac{3}{7} lbs[/tex]

Step-by-step explanation:

[tex]x=\frac{3}{4}(x)+\frac{3}{4}[/tex]

[tex]x+\frac{3}{4}(x)=\frac{3}{4}[/tex]

[tex]\frac{7}{4}(x)=\frac{3}{4}[/tex]

[tex]x=\frac{12}{28} =\frac{3}{7}lbs[/tex]

Answer:

E

Step-by-step explanation:

let a, b, c represent the number of students in 6th, 7th, 8th grade

ratio of students : teachers = 28 : 1

There are 82 teachers , so 28 × 82 = 2296 students

Then

a + b + c = 2296 , that is

828 + b + c = 2296 ( subtract 828 from both sides )

b + c = 1468 → E

Answer:

y = 6x - 5

Step-by-step explanation:

In order to determine the slope-intercept form, y = mx + b, of the given line:

You need to find the slope (m) and determine the y-intercept (b).  

Given the points (1, 1) and (0, -5):

Let (x1, y1) = (1, 1)

(x2, y2) = (0, -5)

Use the following formula for slope:

m = (y2 - y1)/(x2 - x1)

m = (-5 - 1)/(0 - 1)

m = -6/-1

m = 6

The slope of the line is 6.

Next, the y-coordinate (b) of the point, (0, b ) is the y-intercept of the line where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

Looking at the graph, you'll see that the line crosses at point (0, -5). We used this point earlier to solve for the slope. Hence, the y-coordinate, b =  -5, is the y-intercept.

Given the slope, m = 6, and the y-intercept, b = -5:

The linear equation in slope-intercept form is: y = 6x - 5.

Please mark my answers as the Brainliest if you find this helpful :)

Answer:

[tex]a) \: \: e = 11 \: \: and \: \: f = 7 \\ \\ \frac{e + 5}{4f - 4} \\ \\ \frac{11 + 5}{4(7) - 4} \\ \\ \frac{16}{28 - 4} \\ \\ \frac{16}{24} \\ \\ \frac{2}{3} \\ 0.666 \: \: \: ans \: \\ \\ \\ b) \: \: e = - 1 \: \: and \: \: f = - 4 \\ \\ \frac{e + 5}{4f - 4} \\ \\ \frac{ - 1 + 5}{4( - 4) - 4} \\ \\ \frac{ - 1 + 5}{ - 16 - 4} \\ \\ \frac{4}{ - 20} \\ \\ - \frac{1}{5} \\ - 0.2 \: \: ans \: \: [/tex]

Step-by-step explanation:

Solution:

a. when e = 11 and f = 7

[tex] \\ \: \: \frac{e + 5}{4f - 4} [/tex]

[tex] \\ = \frac{11 + 5}{4 \times 7 - 4} [/tex]

[tex] \\ = \frac{11 + 5}{28 - 4} [/tex]

[tex] \\ = \frac{16}{24} [/tex]

[tex] \\ = { \cancel \frac{16}{{24}}}[/tex]

[tex] \\ = \frac{2}{3} [/tex]

b. when e = -1 and f = -4

[tex] \\ \: \frac{e + 5}{4f - 4} [/tex]

[tex] \\ = \frac{{ - 1 + 5} }{4( - 4) - 4} [/tex]

[tex] \\ = \frac{ - 1 + 5}{ - 16 - 4} [/tex]

[tex] \\ = \frac{4}{ - 20} [/tex]

[tex] \\ = { \cancel\frac{4}{ - 20}} [/tex]

[tex] \\ = \frac{ - 1}{5} [/tex]

Answer:

-1

Step-by-step explanation:

Here you go, has to be 100 characters and did it quick

Answer:

They are almost equal but not exactly equal so no. 10 to the power of 25 is 1e+25 and 4 to the power of 42 is 1.9342813e+25.

Step-by-step explanation:

Please mark brainliest

Answer:

No examples of equivalents to 10/25 are:

2/5, 4/10, 6/15, 8/20, 10/25, 12/30, 14/35, 16/40, 18/45, 20/50, 22/55, 24/60, 26/65, 28/70, 30/75, 32/80, 34/85, 36/90, 38/95, 40/100

its very close but not quite

Step-by-step explanation:

Hope this helps :)

pls make brainliest :p

And have an amazing day <3

Answer:

the first one

Step-by-step explanation:

Answer:

60° option b) is the answer

Answer: Y=10x+2

Step-by-step explanation:

Answer:

(x-2) (x+5)

Step-by-step explanation:

2 * 5 = 10

(-2) + 5 = 3

3x + x² - 10 = (x-2) (x+5)

Answer:

2

Step-by-step explanation:

all real number x smaller than or equal to -2

Answer:

A

Step-by-step explanation:

because if you multiply 1 times 5 it's 5 and if you multiply 5 times 5 it would be 25 which would be A

Answer:

3/20 is the answer.......

Answer:

length of arc ≈ 17.8 (to the nearest tenth)

Step-by-step explanation:

To find the length of the arc we use the formula for finding length of an arc.

length of arc = ∅/360 × 2πr

where

∅ = central angle

r  = radius

∅ = 340°

r = 3

length of arc = ∅/360 × 2πr

length of arc = 340/360 × 2 × π × 3

length of arc = 340/360 × 6π

length of arc = 2040π/360

length of arc = 204π/36

length of arc = (204 × 3.14)/36

length of arc = 640.56/36

length of arc = 17.7933333

length of arc ≈ 17.8 (to the nearest tenth)

Answer: [tex]6\pi[/tex]

Step-by-step explanation: Khan academy

Answer:

can l

Step-by-step explanation:

can l? can l? can l~

Answer:

your answer will be 6

Step-by-step explanation:

14+4x=38

4x=38-14

4x=24

x=24/4

x=6

hope ur help

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Value of x is equal to :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Let's solve for x :

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

Step-by-step explanation:

p=9

p=3

p-9=0

p-3=0

(p-9)(p-3)=0

p*2-3p-9p+27=0

p*2-12p+27=0

Answer:

45+15=60 (3+?)

Step-by-step explanation:

?=57

Answer:

Step-by-step explanation:

If you like to round 17.154 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post.

Answer:

[tex] \sqrt{3} \times \sqrt{7} = \sqrt{21} [/tex]

I hope I helped you^_^

Answer: Valid

8 * 12 = 96

Answer:

The answer is invalid

Step-by-step explanation:

Choose Invalid .

You welcome