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raketka [301]
2 years ago
7

Determine if the inequality is true or false: 3q < 18 if q = 6

Mathematics
1 answer:
kap26 [50]2 years ago
3 0

Answer:

false

Step-by-step explanation:

it is because 3(6) which q=6 gives the answer of 18, so 18 can not be bigger than 18

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Simplify<br> (8-2) a + 9b - (3+2) a + 10
andrey2020 [161]

Answer:

a+9b+10

Step-by-step explanation:

use foil method

3 0
3 years ago
I need some help please What's |5| + |–7|?
luda_lava [24]

Answer:

<h3>hello there!</h3>

\left|5\right|+\left|-7\right|

rule =a,\:a\ge 0

|5|=5

\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a

\left|-7\right|=7

5+7=

12

hope this helps you..

5 0
3 years ago
Determine the equation of each line
katovenus [111]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

(a)

here m = - \frac{3}{4} and c = 6, hence

y = - \frac{3}{4} x + 6 ← equation of line

(b)

here m = 6, hence

y = 6x + c ← is the partial equation

to find c substitute (2, - 6 ) into the partial equation

- 6 = 12 + c ⇒ c = - 6 - 12 = - 18

y = 6x - 18 ← equation of line

(c)

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)

m = \frac{7-3}{4+1} = \frac{4}{5}, hence

y = \frac{4}{5} x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 3 ), then

3 = - \frac{4}{5} + c → c = 3 + \frac{4}{5} = \frac{19}{5}

y = \frac{4}{5} x + \frac{19}{5} ← equation of line


3 0
3 years ago
Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account?​
Debora [2.8K]

Answer:

12 months

Step-by-step explanation:

2150-350=1800

1800÷150=12

3 0
2 years ago
Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 cos2(x) − 10 sin(x), 0 ≤ x ≤ 2π
jolli1 [7]
The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π  is equivalent to 180°. This plot could determine one variable if the other is given.

4 0
2 years ago
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