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sergey [27]
3 years ago
11

−4.2(−2.8+4.5)​ I think I know what the answer is but I just want to be 100% sure. Please solve this and tell me your answer. I

would really appreciate it. Thanks!
Mathematics
1 answer:
Talja [164]3 years ago
7 0

Answer:

-7.14

Step-by-step explanation:

Evaluate

−4.2(−2.8 + 4.5)​

Open parenthesis

(-4.2 * -2.8) + (-4.2 * 4.5)

= (11.76) + (- 18.9)

= 11.76 - 18.9

= -7.14

NOTE:

Negative (-) × negative (-) = positive (+)

Positive (+) × positive (+) = positive (+)

Negative (-) × positive (+) = negative (-)

Positive (+) × negative (-) = negative (-)

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5. If f(x) = -x2 - 7x +4 and g(x) = -5x - 3, what is the value of f(-2)-g(6)
Alex787 [66]

9514 1404 393

Answer:

  47

Step-by-step explanation:

Evaluate the functions and find the required difference.

  f(-2) = -(-2)^2 -7(-2) +4 = -4 +14 +4 = 14

  g(6) = -5(6) -3 = -33

Then the difference is ...

  f(-2) -g(6) = 14 -(-33) = 14 +33 = 47

5 0
3 years ago
Lacy wants to paint her bedroom walls she has to cover 1,162.5 ft.² about how many gallons of paint will she need
Lunna [17]
I don't know how far the gallon of paint goes on the walls. So I would figure out how far the gallon of paint goes then divide it by 1,162.5 ft.2







7 0
3 years ago
Which shows all the critical points for the inequality x2-4/x2-5x+6<0
Hoochie [10]

Answer:

x = ±2, 3 are the critical points of the given inequality.

Step-by-step explanation:

The given inequality is \frac{(x^{2}- 4)}{x^{2}-5x+6}

To find the critical points we will equate the numerator and denominator of the inequality to zero.

For numerator,

x^{2}-4=0

(x - 2)(x + 2) = 0

x = ±2

For denominator,

x² - 5x + 6 = 0

x² - 3x -2x + 6 = 0

x(x - 3) -2(x - 3) = 0

(x - 3)(x - 2) = 0

x = 2, 3

Therefore, critical points of the inequality are x = ±2, 3 where the sign of the inequality will change.

7 0
3 years ago
Write the expression (3 - 4i) + (5 + 9i) in the standard form a + bi.
babymother [125]
8 + 5i. I just added the expression normally.   
6 0
3 years ago
Write a function to represent each problem situation Carmen deposits $1000into simple interest account.The rate for the account
kolezko [41]

The function the represent the balance in the account as a function of time t is p(t) = 1000 + 40t

<h3><u>Solution:</u></h3>

Given that,

Carmen deposits $1000 into simple interest account

The rate for the account is 4%

To find: function the represent the balance in the account as a function of time t

Given is simple interest account

The formula for simple interest is given as:

S.I = \frac{ prt}{100}

Where, "p" is the principal and "r" is the rate of interest and "t" is the number of years

In simple interest,

total amount after "t" years = principal + simple interest

Here in this question, Carmen deposits $1000

p_0 = 1000

r = 4 \% = \frac{4}{100} = 0.04

Thus we can frame a function as:

total amount after "t" years = principal + simple interest

p(t) = p_0 + (p_0 \times r \times t )

p(t) = 1000 + (1000 \times 0.04)t\\\\p(t) = 1000 + 40t

Where, p(t) is the amount after "t" years and p_0 is the principal sum

Thus the function is obtained

7 0
3 years ago
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