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3 years ago

(x+8)-14=-15 what is the solution to the equation

Mathematics

2 answers:

Artist 52 [7]3 years ago

3 0

$(x+8)-14=-15 \\ \\ x+8=-15+14 \\ \\ x+8=-1 \\ \\ x=-1-8 \\\\ \boxed{x=-9}$

cricket20 [7]3 years ago

3 0

(x + 8) - 14 = -15

*add 14 to both sides

(x + 8) = -15 + 14 = -1

*subtract 8 from both sides

x = -1 - 8 = -9

x = -9

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Given the functions below, find (g * h)(1). g(x) = x^2 + 4 + 2x. h(x) = -3x + 2

pshichka [43]

Answer:

Step-by-step explanation:

g(x) = x² + 2x+4

h(x) = -3x+2

(g*h)(1) is the same as

g(h(1)) , next solve for h(1) first by substituting in h(x), x with 1

g( h( x= 1)) = g( -3*1 +2) = g( -1) so substitute in g(x) , x with -1

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3 years ago

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Fantom [35]

Answer:

Step-by-step explanation:

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3 years ago

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A national hockey league rink is 115 feet longer than it is wide. If the perimeter of the rink is 570 feet, find the dimensions

ivolga24 [154]

The length of hockey rink is 200 feet and width of hockey rink is 85 feet.

Step-by-step explanation:

Given,

Perimeter of hockey rink = 570 feet

Width of hockey rink = w

Length of hockey rink = w+115

As a hockey rink is in rectangular shape;

Perimeter of rink = 2(Length + Width)

$570=2(w+115+w)\\570=2(2w+115)\\570=4w+230\\570-230=4w\\340=4w\\4w=340$

Dividing both sides by 4

$\frac{4w}{4}=\frac{340}{4}\\w=85$

Width of hockey rink = 85 feet

Length of hockey rink = 85+115 = 200 feet

The length of hockey rink is 200 feet and width of hockey rink is 85 feet.

Keywords: rectangle, division

Learn more about division at:

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3 years ago

Akiko is making a pizza. The radius of the pizza is 19 inches. What is the circumference of the pizza (use 3.14 for pi and round

RideAnS [48]

Answer:

≈119.3

Step-by-step explanation:

The area for circumference is as follows:

$C = 2\pi r\\or\\C = d\pi$

The above equations mean the same thing, because the diameter is just 2 times the radius.

Anyhow, we insert this value into the equation...

$C = 2\pi(19)\\C = 38(3.14)\\C = 119.32\\$

This rounds to:

≈119.3

5 0

3 years ago

If 3x^2 -2x+7=0, then(x-1/3)^2=

Harman [31]

3x² - 2x + 7 = 0.

Using method of completing the square.

3x² - 2x = 0 - 7

3x² - 2x = -7 Divide through by 3.

x² - 2/3x = -7/3 ...........(d)

Coefficient of x = -2/3, half of it = 1/2*-2/3 = -1/3 square of it = (-1/3)² = 1/9

We add (1/9) to both sides of equation (d)

x² - 2/3x = -7/3

x² - 2/3x + 1/9 = -7/3 + 1/9

We factorize it by making using of half of the coefficient, -1/3

(x - 1/3)² = -7/3 + 1/9

(x - 1/3)² = -20/9

That's the answer as asked by the question. -20/9

5 0

3 years ago