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3 years ago

Write the equation of a line in slope-intercept form with a slope of −13 and a y-intercept of 4 .

Mathematics

2 answers:

nikklg [1K]3 years ago

8 0

Y=mx+b
y=-13/1x+4 or y=-13x+4

frosja888 [35]3 years ago

6 0

Answer:

y = -13x + 4

Step-by-step explanation:

You want to put it in the form y = mx + b where m is the slope and b is the y-intercept (For example, in the equation y = 2x + 3 the slope is 2 and the y-intercept is 3)

Since the slope is -13, m = -13.

Since the y-intercept is 4, b = 4.

This means the equation is y = -13x + 4

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Write the slope-intercept form of the equation (-3,3) parallel to y=-5/3x+3

bazaltina [42]

y=5/3x+ 8

The step are:

using the y-y1=m(x-y2)

y-3=5/3(x+3)

y=5/3x+8

5 0

3 years ago

Find the volume of a cone with base area 16pi ft squared and height 9 ft.

yulyashka [42]

Answer:

$volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times16\pi \times 9 \\ =48\pi \: cubic \: ft$

6 0

3 years ago

1. Solve each system of linear equations below, then check your work.

Brut [27]

Answer:

$a) \: x = - 3 \: and \: y = 2 \\ b) \: x = 1 \: and \: y = - \frac{5}{4} \\ c) \: \: x = 25 \: and \: y = 0 \\ d ) \: x = 10 \: and \: y = - 12$

Step-by-step explanation:

$question (a) \: \: \: 3x - y = - 11 \\ \: \: \: - x + y = 5 \\ \\ 2x = - 6 \\ \frac{2}{2} x = \frac{ - 6}{2} \\ x = - 3$

$\\ since \: x = - 3 \: then \: y = \\ \\ - x + y = 5 \\ - ( - 3) + y = 5 \\ y = 5 - 3 \\ y = 2$

$\\ (check) \\ recall \: that \: x = - 3 \: and \: y = 2 \\ \\ - x + y = 5 \\ - ( - 3) + 2 = 5 \\ 3 + 2 = 5 \\ 5 = 5$

$question (b) \: \: \: -2y + 3 = 4x + 2 \\ 6x + 4y = 1 \\ \\ ( - 4x - 2y = - 1) \times 2 \\\: \: \: 6x + 4y = 1 \\ \\ - 8x - 4y = - 2 \\ 6x + 4y = 1 \\ \\ - 2x = - 2$

$\frac{ - 2}{ - 2} x = \frac{ - 2}{ - 2} \\ x = 1 \\ \\ since \: x = 1 \: then \: y = \\ \\ 6x + 4y = 1 \\ 6(1) + 4y = 1$

$4y = - 6 + 1 \\ \frac{4}{4} y = - \frac{ 5}{4} \\ y = - \frac{ 5}{4} \\ \\ (check) \\ - 2y + 3 = 4x + 2$

$- 2( - \frac{5}{4} ) + 3 = 4(1) + 2 \\ \frac{5}{2} + 3 = 6\\ 6 = 6$

$question (c) \: \: \: 32y - x = - 25 \\ \: \: \: 5x = 100 + x - 8y \\ \\ 32y - x = - 25 \\ 8y + 5x - x = 100 \\ \\ (32y - x = - 25) \times 4 \\ 8y + 4x = 100$

$128y - 4x = - 100 \\ 8y + 4x = 100 \\ 136y = 0 \\ y = 0 \\ \\ since \: y = 0 \: then \: x = \\ \\ 32y - x = - 25 \\ 32(0) - x = - 25 \\ - x = - 25 - 0 \\ \frac{ - 1}{ - 1} x = \frac{ - 25}{ - 1} \\ x = 25 \\$

$(check) \\ 5x = 100 + x - 8y \\ 5(25) = 100 + (25) - 8(0) \\ 125 = 125 - 0 \\ 125 = 125$

$question (d) \: \: \: 2y + 3x = 6 \\ \: \: \: 4x + 5y + 20 = 0 \\ \\ ( 2y + 3x = 6) \times 4 \\ (5y + 4x = - 20) \times - 3 \\ \\ 8y + 12x = 24 \\ - 15y - 12x = 60$

$- 7y = 84 \\ \frac{ - 7}{ - 7} y = \frac{84}{ - 7} \\ y = - 12 \\ \\ since \: y = - 12 \: then \: x = \\ \\ 2y + 3x = 6 \\ 2( - 12) + 3x = 6 \\ - 24 + 3x = 6 \\ 3x = 6 + 24 \\ x = 10 \\ \\ (check) \\ 4x + 5y + 20 = 0 \\$

$4(10) + 5( - 12) + 20 = 0 \\ 40 - 60 + 20 = 0 \\ - 20 + 20 = 0 \\ 0 = 0$

5 0

2 years ago

Greg spends $0.45 on eraser and $0.30 0n a pen.how much money does greg spend

Digiron [165]

Answer:

$0.75

Step-by-step explanation:

Greg spends $0.45 on a eraser and $0.30 on a pen. How much money does Greg spend?

Well first you find the key words, (How much) which means you will be using addition in this problem. The numbers you will be adding are $0.75 and $0.30 which equals, $0.75

7 0

3 years ago

Read 2 more answers

Which exponential function goes through the points (1, 16) and (4, 128)?

djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are $f(x)=8(2)^{x}$