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Korvikt [17]
2 years ago
14

Which inequality represents all numbers x on a number line that are farther from −8 than from −4?

Mathematics
1 answer:
pentagon [3]2 years ago
7 0

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

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Question 4: *<br> What are the solutions to the equation 4x2 – 52x + 169 = 121?
Rasek [7]

Answer:

1.0769

Step-by-step explanation:

multiply 4x2 to get 8

move -52x over the equal sign to make it 52x

so we get something like this: 8 + 169 = 121 + 52x

also move 121 over the equal sign to make it -121

Like this: 8 + 169 - 121 = 52x

Now when you simply, you will get 56 = 52x

Divide both sides by 52

Final answer is 1.0769

8 0
2 years ago
Marco’s bank statement says that he has an ending balance of $81. What is Marco’s starting balance?
natali 33 [55]

Answer:

$255

Step-by-step explanation:

Using the information provided, in order to find Marco's starting balance we simply need to add all of his transaction costs together. Once we have this value we simply add it to his ending balance amount which will give us the total dollar value of his starting balance.

20 + 22 + 13 + 39 + 34 + 15 + 31 = 174

174 + 81 = $255

Finally, we can see that Marco's starting balance was a total of $255

8 0
2 years ago
Read 2 more answers
Suppose 10000 people are given a medical test for a disease. About1% of all people have this condition. The test results have a
Alina [70]

Answer:

The percent of the people who tested positive actually have the disease is 38.64%.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person has the disease

<em>P</em> = the test result is positive

<em>N</em> = the test result is negative

Given:

P(X)=0.01\\P(P|X^{c})=0.15\\P(N|X)=0.10

Compute the value of P (P|X) as follows:

P(P|X)=1-P(P|X^{c})=1-0.15=0.85

Compute the probability of a positive test result as follows:

P(P)=P(P|X)P(X)+P(P|X^{c})P(X^{c})\\=(0.85\times0.10)+(0.15\times0.90)\\=0.22

Compute the probability of a person having the disease given that he/she was tested positive as follows:

P(X|P)=\frac{P(P|X)P(X)}{P(P)}=\frac{0.85\times0.10}{0.22} =0.3864

The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.

3 0
2 years ago
Eva makes a few dozen cupcakes and sells them for $8 a dozen. Which function represents the relationship between the money Eva e
Romashka [77]
We let c represent the number of dozen cupcakes in which the problem says that the cost of each cupcake is $8 per dozen. In this case, the money earned by Eva should be a function of the number of dozen cupcakes. In this case, the expression that represents this is  A. f(c) = c × 8
4 0
3 years ago
Double the sum of x and 5
jolli1 [7]

Answer:

2(x+5) = 2x+10

Step-by-step explanation:

2(x+5)

= 2*x + 2*5

= 2x+10

6 0
2 years ago
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