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4 years ago

8

Solve each system by elimination 5x + y - 2z = -12

1 answer:

kumpel [21]4 years ago

6 0

X = -12 - y + 2z / 5

I hope this helps. :)

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Given the function, f (x) = sq3x+3+3, choose the correct transformation.

iren2701 [21]

Answer:

B.

Step-by-step explanation:

First, let's start from the parent function. The parent function is:

$f(x)=\sqrt{x}$

The possible transformations are so:

$f(x)=a\sqrt{bx-c} +d$ ,

where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.

From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.

Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).

7 0

3 years ago

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ASHA 777 [7]

Answer:

$x=\frac{12}{13}$

Step-by-step explanation:

$\frac{3x}{4} +2=4x-1\\\\4x - \frac{3x}{4} = 2+1\\\\\frac{13x}{4} =3\\\\13x=12\\\\x=12/13$

7 0

4 years ago

Snow Dome Ski Resort has 75 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resor

Nastasia [14]

Answer:

a. See explanation for table

b. The 7th hour

Step-by-step explanation:

Given

Ski Resort

$Base\ Snow = 75in$

$Rate = 1in$ hourly

Mt. Winterpark

$Base\ Snow = 68in$

$Rate = 2in$ hourly

First, we need to illustrate the amount of snow as an equation in both cases.

$Amount = Base\ Snow + Rate * Time$

Let x be number of hours. and y be the amount of snow

So:

Ski Resort

$y= 75 + 1* x$

$y= 75 + x$

Mt. Winterpark

$y= 68 + 2 * x$

$y= 68 + 2x$

Next, we make a table to show the data.

When $x = 0$

Ski Resort: $y = 75 + 0 = 75$

Mt. Winterpark: $y = 68 + 2(0) = 68$

When $x = 1$

Ski Resort: $y = 75 + 1 = 76$

Mt. Winterpark: $y = 68 + 2(1) = 70$

When $x = 2$

Ski Resort: $y = 75 + 2 = 77$

Mt. Winterpark: $y = 68 + 2(2) = 72$

When $x = 3$

Ski Resort: $y = 75 + 3 = 78$

Mt. Winterpark: $y = 68 + 2(3) = 74$

When $x = 4$

Ski Resort: $y = 75 + 4 = 79$

Mt. Winterpark: $y = 68 + 2(4) = 76$

When $x = 5$

Ski Resort: $y = 75 + 5 = 80$

Mt. Winterpark: $y = 68 + 2(5) = 78$

When $x = 6$

Ski Resort: $y = 75 + 6 = 81$

Mt. Winterpark: $y = 68 + 2(6) = 80$

When $x = 7$

Ski Resort: $y = 75 + 7 = 82$

Mt. Winterpark: $y = 68 + 2(7) = 82$

When $x = 8$

Ski Resort: $y = 75 + 8 = 83$

Mt. Winterpark: $y = 68 + 2(8) = 84$

When $x = 9$

Ski Resort: $y = 75 + 9 = 84$

Mt. Winterpark: $y = 68 + 2(9) = 86$

When $x = 10$

Ski Resort: $y = 75 + 10 = 85$

Mt. Winterpark: $y = 68 + 2(10) = 88$

Hence, the table is:

x ---- Ski Resort ---- Mt. Winterpark

0 --------75 ----------- 68

1 --------76 ----------- 70

2 --------77 ----------- 72

3 --------78 ----------- 74

4 --------79 ----------- 76

5 --------80 ----------- 78

6 --------81 ----------- 80

7 --------82 ----------- 82

8 --------83 ----------- 84

9 --------84 ----------- 86

10 -------85 ----------- 88

(b)

From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches

4 0

3 years ago

2x^2=3x+10 completing the square

galina1969 [7]

Answer:

$x_{1} = \frac{ - \sqrt{89 + 3} }{4}$

$x_{2} = \frac{ \sqrt{89 + 3} }{4}$

Step-by-step explanation:

1) Move the variable to the left

2) Divide both sides

3) Add the same value to both sides

4) Add 9/16 to the expression

5) Add 9/16 to the right-hand side

6) Recalculate then solve

8 0

2 years ago

SUPER EASY PLS ANSWER!!!!

slamgirl [31]

Answer:3/5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers