All categories

3 years ago

Solve the following inequality for p. Write your answer in simplest form.6p+5≤-2p-5

Mathematics

1 answer:

balandron [24]3 years ago

5 0

Answer:

p≤-5/4

Step-by-step explanation:

Move variable to the left hand side and change its sign, move the constant tp the right hand side and change its sign

6p+2p+5≤-5

Collect like terms

8p≤-5-5

8p≤-10

Divide both sides of the inequality by 8

p≤-5/4

You might be interested in

What is the equation of the line that is perpendicular to line y= -2x+11 and crosses

Digiron [165]

Answer:

$slope \ of \ y = -2x + 11, m_{1} = -2\\\\Let \ the \ slope\ of \ the \ new \ line \ be \ m_{2} \\\\ Since \ the \ line \ is \ perpendicular \ to \ the\ given \ line, m_{1} \cdot m_{2} = -1\\\\-2 \cdot m _{2} = -1\\ \\m _{2} = \frac{1}{2} \\\\Equation \ of \ the \ line \ passing \ through (-6, 8) \ slope = \frac{1}{2} \\\\(y - y_{1}) = m_{2}(x-x_{2} )\\\\(y-8) =\frac{1}{2} (x-(-6))\\\\y -8 =\frac{1}{2} (x+6)\\\\y = \frac{1}{2}x +3 +8\\\\y =\frac{1}{2}x + 11$

option 4

7 0

3 years ago

Y=kx+b<br> A (1,-2) B (-2,-8)<br> Linear functions!

Gnoma [55]

K=slope
b=y intercept

find slope
slope=(y2-y1)/(x2-x1)

(x,y)
(1,-2)
(-2,-8)

x1=1
y1=-2
x2=-2
y2=-8

slope=(-8-(-2))/(-2-1)=(-6)/(-3)=2/1=2

k=2
subsitute
y=2x+b
subsitute one point
(1,-2)
x=1,y=-2

-2=2(1)+b
-2=2+b
subtract 2
-4=b

y=2x-4

5 0

3 years ago

Could You please solve this show your work as well. Thanks!

Elza [17]

Answer:

x = 0.9

Step-by-step explanation:

It is convenient to clear fractions by multiplying the equation by the product of the denominators. That gives ...

0.5(4x +9) = 3x(7/3)

Multiplying by 2 will give you ...

4x + 9 = 14x

Subtract 4x

9 = 10x

And divide by 10

9/10 = x

6 0

3 years ago

The area of a circle is 28.26 square yards. what is the circle's circumference? a=28.26 yd2

Levart [38]

$area \: = \pi {r}^{2} \\ circumference = 2\pi \: r$
where r = radius
$\pi {r}^{2} = 28.26 \: {yd}^{2} \\ {r}^{2} = 28.26 \div \pi \\ {r}^{2} = 8.99 = 9 \\ \sqrt{ {r}^{2} } = r = \sqrt{9} = 3$
circumference = C
$c = 2\pi \: r = 2(3) \times \pi \\ = 18.85 \: yd = 18.9 \: yd$

5 0

3 years ago

Read 2 more answers

How do I make 7/15 into a decimal.

Mumz [18]

you have to divide 7 by 15 equals .466666666

8 0

4 years ago

Read 2 more answers