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3 years ago

6m . 1 = 6m is what properties

Mathematics

1 answer:

ddd [48]3 years ago

8 0

Answer: This equation is a tautology (Something which is always true)

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Given the functions f (x) = x^2 + 4 and g (x) = 3x+ 8 what is a solution for the equation ? x^2 + 4 = 3x + 8 A. 0 B. 1 C. 2 D. 4

k0ka [10]

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+4=3x+8

Step 1: Subtract 3x+8 from both sides.

x2+4−(3x+8)=3x+8−(3x+8)

x2−3x−4=0

Step 2: Factor left side of equation.

(x+1)(x−4)=0

Step 3: Set factors equal to 0.

x+1=0 or x−4=0

x=−1 or x=4

Answer:

x=−1 or x=4

6 0

4 years ago

A CD is on sale for $10.00. The sales tax rate is 6%. How much will the total cost be for the CD

givi [52]

Answer:

$10.06

Step-by-step explanation:

Tax rate = 6% , convert into 0.06

10 × 0.06 = 0.6

10 + 0.6 = 10.06

5 0

3 years ago

Calculate the area of triangle ABC with altitude, CD, given

defon

Answer:

37.5 square units

Step-by-step explanation:

Given:

A(-6,-4), B(6,5), C(-1,6), and D(2, 2), where CD is the altitude if ∆ABC

Required:

Area of ∆ABC

SOLUTION:

Area of a ∆ABC =½*AB*CD

✍️ $AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{6 -(-6))^2 + (5 -(-4))^2$

$AB = \sqrt{12^2 + 9^2}$

$AB = \sqrt{144 + 81}$

$AB = \sqrt{225} = 15$

✍️ $CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{2 -(-1))^2 + (2 - 6)^2$

$CD = \sqrt{(3)^2 + (-4)^2}$

$CD = \sqrt{9 + 16}$

$CD = \sqrt{25} = 5$

✍️Area of a ∆ABC =½*AB*CD

= ½*15*5

✅ Area = 37.5 square units

5 0

3 years ago

Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amou

GrogVix [38]

SS tax is 6.2% of 1,047.30

In math "of" means times, so

.062 x 1047.30 = 64.9326

Rounded to the nearest cent $64.93

4 0

3 years ago

72-(63-8) and (72-63)-8

tatyana61 [14]

The Priority is always to parenthesis. It means that in both equations, begin by operating what's inside the parenthesis. Then Subtract what's left.

For the first one you get:
$72 - (63-8)$
$72 - 55$
$17$

For the second one you get:
$(72-63)-8$
$9-8$
$1$

Which mean that The 2 equations are not equal, because $17 \ \textgreater \ 1$
Hope this Helps! :D

3 0

3 years ago

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