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3 years ago

Do the following (show your work) 4[3+5(18/2-3)-12]+7^3 14(2)+3[35/2-6(5-2)]+3^2

1 answer:

6 0

Following BEDMAS

4[3+5(18/2-3)-12]+7^3
= 4[3+5(18/-1)-12]+7^3
= 4[3+5(-18)-12]+ 343
= 4[3+(-90)-12]+ 343
= 4[3+(-90)-12]+ 343
= 4[-99]+ 343
= -396 + 343
= -53

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Which trigonometric identity was introduced in this unit?

Andrej [43]

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3 years ago

Solve using the Quadratic Formula 5x2-3x-7=0 A) B) C) D)

vlabodo [156]

Answer:

C) $\displaystyle x=\frac{3 \pm \sqrt{149}}{10}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

Step-by-step explanation:

Step 1: Define

Identify

5x² - 3x - 7 = 0

↓

a = 5, b = -3, c = -7

Step 2: Solve for x

Substitute in variables [Quadratic Formula]: $\displaystyle x=\frac{3 \pm \sqrt{(-3)^2-4(5)(-7)}}{2(5)}$
[√Radical] Evaluate exponents: $\displaystyle x=\frac{3 \pm \sqrt{9-4(5)(-7)}}{2(5)}$
[√Radical] Multiply: $\displaystyle x=\frac{3 \pm \sqrt{9+140}}{2(5)}$
[√Radical] Add: $\displaystyle x=\frac{3 \pm \sqrt{149}}{2(5)}$
[Fraction] Multiply: $\displaystyle x=\frac{3 \pm \sqrt{149}}{10}$

3 0

3 years ago

96×5+8-572-99????? what is this.

Paul [167]

Answer:-183

Step-by-step explanation:

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4 years ago

Choose the correct classification of (3x^3 + 2x^2 - 5x)

Irina-Kira [14]

Answer:

Below.

Step-by-step explanation:

It is a polynomial of degree 3.

7 0

4 years ago

If the amount of waking time 4 year old children spend with their fathers each day is 42 minutes while the daily waking time spe

telo118 [61]

Answer:

7/60

Step-by-step explanation:

Because the question is phrased such that it asks "the ratio of time with father to....", we know to put the time with father on top, or first. Similarly, since it is asked to put the ratio of time with the father to the time in daycare, we can put the daycare amount second/on the bottom. Therefore, we can write the ratio as

(42 minutes)/(6 hours)

To make both of these in terms of minutes to simplify it, we know that 60 minutes = 1 hour, so 1 hour / 60 minutes =1 . Since multiplying something by 1 keeps it the same, we can multiply our ratio by this amount. We want to multiply with the hour on top so the hours cancel out, as so:

$\frac{42 minutes}{6 hours} * \frac{1 hour}{60 minutes} = \frac{42 minutes * hours}{360 minutes * hours} = \frac{42}{360}$

To simplify this even further, we can note that 6 is a factor of both 42 and 360*, so we can multiply this fraction by (1/6) / (1/6) to get

(42/360) * (1/6)/(1/6) = 7/60 as our final answer

If this doesn't come up immediately, you can always find the greatest common factor by listing the factors of each number and finding the highest one that fits both, e.g.

for 42: 42, 21, 14, 7 , 6...

for 360: 360,180, ... 6,5....

6 0

3 years ago