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3 years ago

Solve the algebraic equation: 2x + 4 = -16

Mathematics

2 answers:

lora16 [44]3 years ago

5 0

Answer:

-10

Step-by-step explanation:

subtract 4 from both sides

divide by 2

zalisa [80]3 years ago

3 0

Answer:x= -10

Step-by-step explanation

first add 4 to both sides of the equation which will cancel out the 4 and leave you with 2x= -20

then divide both sides by 2 to get the x by itself and divide -20 by 2 which will give you x= -10

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krek1111 [17]

Answer:

Step-by-step explanation:

Define Sets:

S(x): x was sick yesterday

W(x): x went to work yesterday

V(x): x was on vacation yesterday

Find:

Logical expression with the same meaning of:

(a) Everyone was well and went to work yesterday.

(b) Everyone who was sick yesterday did not go to work.

(d) Someone who missed work was neither sick nor on vacation

(e) Ingrid was sick yesterday but she went to work anyway.

Solution:

a) Everyone was well and went to work. People who could have possibly gone to work would have been who were well or un-well so the the resulting set would be.

A (x) = W(x) - (W(x) & S(x))

b) Everyone who was sick and did not go to work. Sick people may or may not go to work. Hence, the domain can be defined as:

B (x) = S(x) - (W(x) & S(x))

c) Someone who was sick and did not go to work. Sick people may or may not go to work. Hence, the domain can be defined as:

C (x) ⊆ (W(x) & S(x))

d) Someone who missed work was not sick not on vacation:

D (x) = ( W'(x) & S'(x) & V'(x))

e) Ingrid was sick but went to work,, answer to part c and e are the same

E (x) = C(x) ⊆ (W(x) & S(x))

5 0

3 years ago

For which of the following compound inequalities is there no solution? Select one: a. 8m+5>=5 and -4m+6<=-10 b. 6m<=-36

enyata [817]

<span> $a.\\8m+5\geq5\
\ \ |-5\\8m\geq0\ \ \ |:8\\m\geq0\to m\in\left$

$b.\\6m\leq-36\ \ \ |:6\\m\leq-6\to m\in\left(-\infty;\
-6\right>\\\\m+24 > 20\ \ \ |-24\\m > -4\to m\in(-4;\
\infty)\\\\solution:\ m\in\left(-\infty;\ -6\right>\ \cap\ (-4;\ \infty)\to
m\in\O\to NO\ SOLUTION$

$c.\\-2m < 6\ \ \ |:(-2)\\m > -3\to m\in(-3;\ \infty)\\\\3m > 24\
\ \ |:3\\m > 8\to m\in(8;\ \infty)\\\\solution:\ m\in(-3;\ \infty)\ \cap\
(8;\ \infty)\to m\in(8;\ \infty)$

$d.\\m+9 < 8\ \ \ |-9\\m < -1\to m\in(-\infty;\ -1)\\\\-2m \geq10\ \
\ |:(-2)\\m\leq-5\to m\in\left(-\infty;-5\right>\\\\solution:\
m\in(-\infty;\ -1)\ \cap\ \left(-\infty;-5\right>\to
m\in\left(-\infty;-5\right>$ </span>

6 0

4 years ago

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Mashcka [7]

Answer:

6.5/x=10/40;x=26

Step-by-step explanatio

8 0

3 years ago

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On a coordinate plane, point A is located at (7, 4), and point B is located at (-8, 4). What is the distance between the two poi

stiv31 [10]

Answer:

Step-by-step explanation:

$Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-8-7)^{2}+(4-4)^{2}}\\\\ =\sqrt{(-15)^{2}+0}\\\\=\sqrt{225} \\\\=15$

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4 years ago

Which equation will solve the following word problem? One small pitcher and one large pitcher can hold 12 cups of water. If the

Delicious77 [7]

Option 3
Amount of water hold by both the pitchers (Large + small) = 12 cups
Let the small pitcher holds the water = S cups
If the water hold by the large pitcher is twice the size of the small pitcher, then the amount of water hold by large pitcher = 2S
Total amount water hold by both = S + 2S
Equation for this situation will be,
S + 2S = 12
Therefore, Option (3) will be the answer.

6 0

3 years ago

Solve the algebraic equation: 2x + 4 = -16​

Solve the algebraic equation: 2x + 4 = -16