All categories

3 years ago

Solve the equation.|7x+4|=18

2 answers:

5 0

Hi Ella

|7x + 4| = 18
Solve absolute value
We know either 7x + 4 = 18 or 7x + 4 = -18
There are 2 possibilities but we gonna solve it one after another
Lets start with possibility 1
7x + 4 = 18
7x = 18 - 4
7x = 14
x= 14/7
x= 2
Now, lets solve for possibility 2
7x + 4 = -18
7x = -18 - 4
7x = -22
x= -22/7

Final answers : X = 2 or x = -22/7

I hope that's help !

s2008m [1.1K]3 years ago

4 0

X equals twelve divided by seven

You might be interested in

Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o

photoshop1234 [79]

A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read "if p then q"

Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that

$|AB|^2=|BC|^2+|AC|^2$ .

An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that $|AB|^2=|BC|^2+|AC|^2$

This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True,

the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that $|AB|^2=|BC|^2+|AC|^2$
then Triangle ABC is a right triangle with m(C)=90°

True

Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that $|AB|^2=|BC|^2+|AC|^2$

True

Contrapositive statement:

if The sides of triangle ABC are not such that $|AB|^2=|BC|^2+|AC|^2$ then Triangle ABC is not a right triangle with m(C)=90°

True

4 0

3 years ago

1.4 – 5.5 – 1.73 + 1.8 – 1.09 –5.12 –8.72 5.12 –1.66

Novay_Z [31]

We'll do two by two,
1.4 – 5.5= -4.1
– 1.73 + 1.8= 0.07
Leaving – 1.09,

You get 
=-4.1+ 0.07- 1.09
=-4.03-1.09
=-5.12

7 0

3 years ago

What is the total price of a $45.79 item when a 7% taxe is added

meriva

Answer:

$42.58

Step-by-step explanation:

You would multiply the price of the item (45.79) by the percentage as a decimal (0.07) and subtract the product.

in this case:

45.79x0.07 = 3.205 (rounded 3.21)

45.79-3.21 = 42.58

6 0

2 years ago

How would I solve n/5-3n/10=1/5 pls help me I am literally failing math.

otez555 [7]

Answer:

53/5

Step-by-step explanation:

since 10 is the denominator of the denominator we can move it to the numerator, giving us 10n/5-3n = 1/5

multiply all sides by 5-3n, giving us 10n = (5-3n)/5

now multiply by 5 to get rid of the final denomintor, 50n = 5-3n

move 3n to the other side 53n = 5, n = 53/5

8 0

3 years ago

What is the probability that a random person who tests positive for a certain blood disease actually has the disease, if we know

xeze [42]

Answer:

Step-by-step explanation:

Hello!

Any medical test used to detect certain sicknesses have several probabilities associated with their results.

Positive (test is +) ⇒ P(+)

True positive (test is + and the patient is sick) ⇒ P(+ ∩ S)

False-positive (test is + but the patient is healthy) ⇒P(+ ∩ H)

Negative (test is -) ⇒ P(-)

True negative (test is - and the patient is healthy) ⇒ P(- ∩ H)

False-negative (test is - but the patient is sick) ⇒ P(- ∩ S)

The sensibility of the test is defined as the capacity of the test to detect the sickness in sick patients (true positive rate).

⇒ P(+/S) = P(+ ∩ S)

P(S)

The specificity of the test is the capacity of the test to have a negative result when the patients are truly healthy (true negative rate)

⇒ P(-/H) = P(- ∩ H)

P(H)

For this particular blood disease the following probabilities are known:

1% of the population has the disease: P(S)= 0.01

95% of those who are sick, test positive for it: P(+/S)= 0.95 (sensibility of the test)

2% of those who don't have the disease, test positive for it: P(+/H)= 0.02

The probability of a person having the blood sickness given that the test was positive is:

P(S/+)= P(+ ∩ S)

P(+)

The first step you need to calculate the intersection between both events + and S, for that you will use the information about the sickness prevalence in the population and the sensibility of the test:

P(+/S) = P(+ ∩ S)

P(S)

P(+/S)* P(S) = P(+ ∩ S)

P(+ ∩ S) = 0.95*0.01= 0.0095

The second step is to calculate the probability of the test being positive:

P(+)= P(+ ∩ S) + P(+ ∩ H)

Now we know that 1% of the population has the blood sickness, wich means that 99% of the population doesn't have it, symbolically: P(H)= 0.99

Then you can clear the value of P(+ ∩ H):

P(+/H) = P(+ ∩ H)

P(H)

P(+/H)*P(H) = P(+ ∩ H)

P(+ ∩ H) = 0.02*0.99= 0.0198

Next you can calculate P(+):

P(+)= P(+ ∩ S) + P(+ ∩ H)= 0.0095 + 0.0198= 0.0293

Now you can calculate the asked probability:

P(S/+)= P(+ ∩ S) = 0.0095 = 0.32

P(+) 0.0293

I hope it helps!

6 0

3 years ago