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vagabundo [1.1K]
3 years ago
9

Convert to slope intercept form: 3x-4y=8 then graph the line on the grid

Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

y=3/4x-2

a=(8/3,0)

b=(0,-2)

m=3/4

Step-by-step explanation:

STEP 1

3x-4y =8 substract 3x from both sides

-4y=-3x+8 divide -4 to everything

y=3/4x-2

STEP 2

substitute 0 for y and solve for a (x-intercept)

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3 years ago
Solve for x. 5(22−x)=40 Enter your answer in the box. x =
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Answer:

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3 years ago
CALCULUS EXPERT WANTED
Vlad [161]

a. Use the mean value theorem. 16 falls between 12 and 20, so

v'(16)\approx\dfrac{v(20)-v(12)}{20-12}=\dfrac{240-200}8=5

(Don't forget your units - 5 m/min^2)

b. v(t) gives the Johanna's velocity at time t. The magnitude of her velocity, or speed, is |v(t)|. Integrating this would tell us the total distance she has traveled whilst jogging.

The Riemann sum approximates the integral as

\displaystyle\int_0^{40}|v(t)|\,\mathrm dt=12\cdot200+8\cdot240+4\cdot220+16\cdot150=7600

If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of |v(t)| is determined by the value of v(t) at each sample point, 200, 240, |-220| = 220, and 150.

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d. Bob's average velocity over [0, 10] is given by the difference quotient,

\dfrac{B(10)-B(0)}{10-0}=\dfrac{700-300}{10}=40 m/min

6 0
3 years ago
I'm confused about how to find x.
NikAS [45]
Hi! so you would find x by adding the corners up to 180 degrees.

steps:
Add the corners
90+(2x+1)+(5x+5)
7x+96=180
then subtract 96 from 180
you’d get 7x = 84
then divide 7 on both sides and get x=12
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3 years ago
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