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dmitriy555 [2]
3 years ago
5

For what integer value of x is 3x+5>11 and x-3 <1?

Mathematics
1 answer:
Andre45 [30]3 years ago
7 0
3x + 5 > 11
3x + (5 - 5) > 11 - 5 
3x > 6
3x / 3 > 6 / 3
x > 2

x - 3 < 1
x (-3 + 3) < 1 + 3
x < 4

When subtracting / adding values to both sides, the inequality does not change.

When multiplying / dividing by a positive value, the inequality also doesn't change, but when multiplying , dividing with a negative value, the inequality must be flipped.
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Twelve friends share 4 pizzas equally what.fraction of a pizza does each friend get?
Sav [38]
1/4 .....divide the pizza by 4 ...so you get 1/4 ...taken by each friend !
4 0
3 years ago
Read 2 more answers
Which of the following options correctly represents the complete factored form of the polynomial F(x)=x^4-3x^2-4?
Bumek [7]

Answer:

D

Step-by-step explanation:

Let's substitute a for x²:

x^4 - 3x² - 4

a² - 3a - 4

Now, this looks like something that is much more factorisable:

a² - 3a - 4 = (a - 4)(a + 1)

Plug x² back in for a:

(a - 4)(a + 1)

(x² - 4)(x² + 1)

The first one is a difference of squares, which can be factored into:

x² - 4 = (x + 2)(x - 2)

The second one can also be treated as a difference of squares:

x² + 1 = x² - (-1) = (x + √-1)(x - √-1) = (x + i)(x - i)

The answer is (x + 2)(x - 2)(x + i)(x - i), or D.

6 0
3 years ago
Read 2 more answers
3.90 is equivalent to how many tenths?
dlinn [17]

Answer: 39 tenths

Divide 39÷10 and get 3.9

4 0
2 years ago
Kevin and Randy Muise have a jar containing 78 coins, all of which are either quarters or nickels. The total value of the coins
gregori [183]
Answer:

50 quarters and 28 nickels

Step-by-step solution:

We have two variables we are solving for. We will call them Q for the number of quarters and N for the number of nickels.

We know that the total number of coins is equal to 78, and we know that the total amount the coins are worth is equal to $13.90. With this information, we can set up a system of equations:

Q + N = 78

0.25Q + 0.05N = 13.90

Now we can solve for either Q or N in the first equation and solve by substitution by plugging the value into the second equation. Let's solve for Q:

Q = 78 - N

Now plug in 78-N for Q:

0.25(78-N) + 0.05N = 13.90

Distribute and combine like terms:

19.50 - 0.25N + 0.05N = 13.90

19.50 - 0.20N = 13.90

-0.20N = -5.60

N = 28

Now we know that there are 28 nickels. We can plug this into one of the original equations to solve for Q:

Q + 28 = 78

Q = 50

There are 50 quarters. We can verify our answer by plugging the values for A and N into the other equation (optional step to check work):

0.25(50) + 0.05(28) = 13.90

12.5 + 1.40 = 13.9

13.9 = 13.9

Our answer is correct.





5 0
3 years ago
Gary's unpaid credit card balance is 2543.32. His APR is 17.4%, and he made one new translation for 320
xz_007 [3.2K]
New balance = unpaid balance + periodic interest of unpaid balance + new transaction
Periodic interest rate = APR/12
                                  = 17.4%/12
                                  = 1.45%
unpaid credit card balance = 2543.32
new transaction = 320
New balance = 2543.32+(0.0145 x 2543.32) +320
New balance credit card balance  = 2900.19814
6 0
3 years ago
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