All categories

3 years ago

13. Identify the y-intercept and the slope for each equation.

Mathematics

1 answer:

mihalych1998 [28]3 years ago

5 0

Answer:

For a ) y = 6x - 3

$slope = m = 6\\y-intercept = c = -3\\$

For b ) y = -2x - 10

$slope = m = -2\\y-intercept = c = -10\\$

For c ) y = -4x + 4

$slope = m = -4\\y-intercept = c = 4\\$

Step-by-step explanation:

Given:

a. y = 6x - 3

b. y = -2 (x + 5)

y = -2x - 10

c. y = 4 (-x + 1)

y = -4x + 4

To Find:

y-intercept and the slope for each equation = ?

Solution:

Slope-intercept Formula is given by

$y=mx+c$

Where,

m = slope

c = y-intercept

So on comparing the Given equations with the above Equation we get

For a ) y = 6x - 3

$slope = m = 6\\y-intercept = c = -3\\$

For b ) y = -2x - 10

$slope = m = -2\\y-intercept = c = -10\\$

For c ) y = -4x + 4

$slope = m = -4\\y-intercept = c = 4\\$

You might be interested in

I’m having trouble understanding how to solve this someone please help ASAP thank you!

vladimir2022 [97]

Answer:

Answer is 71.95°

Step-by-step explanation:

Cosine formula is

a^2=b^2+c^2-2bc(cosA)

cos A =b^2+c^2-a^2/2bc

if a= 119,b=94,c=173

cos A=94^2+173^2-119^2/2(94*173)

=8836+29,929-14,161/2(16,262)

=38765-14,161/32,524

=24604/32,524

=0.7564

cos A=0.7564

cos^-1=40.85°.that's for angle A.

Using the same formula

B=31.1°

C=180-(40.85+31.1)

C=180-71.95

C=108.05

Since angle on a straight line is 180

therefore x is 71.95

Also the sum of angles A and B

3 0

1 year ago

What is the percent of each? Please help!!

il63 [147K]

Answer:

1 Cards = 36%

2 Cards = 28%

3 Cards = 24%

4 Cards = 12.5%

Step-by-step explanation:

7 0

3 years ago

Identify Arithmetic Mean, Geometric Mean and Harmonic Mean from the following averages: 56.4, 59.8 and 55.8

photoshop1234 [79]

If you would like to calculate the arithmetic mean, geometric mean, and harmonic mean from the following averages, you can calculate this using the following steps:

averages: 56.4, 59.8, 55.8
the number of values: 3

arithmetic mean:
(56.4 + 59.8 + 55.8) / 3 = 57.33

geometric mean:
(56.4 * 59.8 * 55.8)^(1/3) = 57.31

harmonic mean:
3 / (1/56.4 + 1/59.8 + 1/55.8) = 57.28

7 0

3 years ago

Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer is related to the average u

soldier1979 [14.2K]

$x = f ( p ) = \frac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } } \\\\ \qquad { p ( t ) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \quad ( 0 \leq t \leq 60 ) }$

Answer:

12.0 tablet computers/month

Step-by-step explanation:

The average price of the tablet 25 months from now will be:

$p ( 25) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { 25 } } + 200 \\= \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \times 5 } + 200\\\\=\dfrac { 400 } { 1 + \dfrac { 5 } { 8 } } + 200\\p(25)=\dfrac { 5800 } {13}$

Next, we determine the rate at which the quantity demanded changes with respect to time.

Using Chain Rule (and a calculator)

$\dfrac{dx}{dt}= \dfrac{dx}{dp}\dfrac{dp}{dt}$

$\dfrac{dx}{dp}= \dfrac{d}{dp}\left[{ \dfrac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } }\right] =-\dfrac{100}{9}p(810,000-p^2)^{-1/2}$

$\dfrac{dp}{dt}=\dfrac{d}{dt}\left[\dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \right]=-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}$

Therefore:

$\dfrac{dx}{dt}= \left[-\dfrac{100}{9}p(810,000-p^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}\right]$

Recall that at t=25, $p(25)=\dfrac { 5800 } {13} \approx 446.15$

Therefore:

$\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009$

The quantity demanded per month of the tablet computers will be changing at a rate of 12 tablet computers/month correct to 1 decimal place.

8 0

3 years ago

A rectangular pyramid is sliced so the cross section is perpendicular to its base but does not pass through its vertex.

julsineya [31]

Answer:

if it's a rectangular pyramid a rectangle

Step-by-step explanation:

the cross sectional area is the shape at the bottom

6 0

3 years ago

Read 2 more answers