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3 years ago

A line passes through the points (4,6) and (3, 3). What is its equation in slope-intercept

Mathematics

1 answer:

Zigmanuir [339]3 years ago

8 0

Answer:

y = 3x - 6

Step-by-step explanation:

Find the slope of the line:

3 - 6 / 3 - 4 -> -3/-1 so the slope is 3

Now use the point-slope form to find the slope-intercept form:

y - 3 = 3 (x - 3)

y - 3 = 3x - 9 add three to each side...

y = 3x - 6

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A recipe use 5 cups of flour for every 2 cups of sugar .a.how much sugar is used for 1 cup of flour? b.how much flour is used fo

zheka24 [161]

Answer:

1 cup of sugar per 2.5 cups of flour.

2.5 cups of flower per 1 cup of sugar.

17.5 cups of flower is used with 7 cups of sugar.

1.6 cups of sugar is used with 6 cups of flour.

Step-by-step explanation:

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3 years ago

Divide 3x2 − 11x − 4 by x − 4

Nuetrik [128]

Answer:Factor by grouping.

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Reduce the expression by cancelling the common factors.

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Step-by-step explanation:

6 0

3 years ago

Which association best describes the scatter plot?

exis [7]

No association because the dots are just scattered all over the graph

Negative association would be when the dots are going toward downwards

Positive association would be when the dots are going toward upwards

3 0

3 years ago

Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th

Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

$r_i=2+\dfrac{8-0}4(i-1)=2i$

where 1 ≤ <em>i</em> ≤ 4.

Find the values of the function at these endpoints:

$f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i$

The area is given approximately by the Riemann sum,

$\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i$

where $\Delta x_i=\frac{8-0}4=2$ ; so the area is approximately

$\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}$

where we use the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

6 0

3 years ago

2. Sam is climbing 2/3 meters every 1/3 of an hour. How many meters does

ICE Princess25 [194]

Answer:

2/9

Step-by-step explanation:

if u multiply 2/3 × 1/3 u get 2/9

4 0

3 years ago