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4 years ago

Solve for a. 7a + 18 = 102 a =

Mathematics

2 answers:

Virty [35]4 years ago

6 0

Answer:

Step-by-step explanation:

Inessa [10]4 years ago

3 0

7a+18=102
7a= 102-18
7a= 84
a = 84/7= 12

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What is the roots of f(x)=-x^2-6x-14

Nutka1998 [239]

Answer:

$x=-3\pm i \sqrt{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

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

Algebra II

Imaginary roots: √-1 = i

Step-by-step explanation:

Step 1: Define function

f(x) = -x² - 6x - 14

Step 2: Set up

Set equation equal to 0: -x² - 6x - 14 = 0
Factor out -1: -(x² + 6x + 14) = 0
Divide both sides by -1: x² + 6x + 14 = 0

Step 3: Define variables

a = 1

b = 6

c = 14

Step 4: Find roots

Substitute: $x=\frac{-6\pm\sqrt{6^2-4(1)(14)} }{2(1)}$
Exponents: $x=\frac{-6\pm\sqrt{36-4(1)(14)} }{2(1)}$
Multiply: $x=\frac{-6\pm\sqrt{36-56} }{2}$
Subtract: $x=\frac{-6\pm\sqrt{-20} }{2}$
Factor: $x=\frac{-6\pm\sqrt{-1} \sqrt{20} }{2}$
Simplify: $x=\frac{-6\pm2i \sqrt{5} }{2}$
Factor: $x=\frac{2(-3\pm i \sqrt{5} )}{2}$
Divide: $x=-3\pm i \sqrt{5}$

8 0

3 years ago

The diagram below shows a wall with a

yulyashka [42]

Answer: H (131.125 ft^2)

Step-by-step explanation:

first, you need to find the area of the wall

wall:

A=Lw (length times width)

A= 9.75 x 15.5 (I changed them into decimals)

A = 151.125

now you need to find the area of the window

window:

A = Lw

A = 4 x 5

A = 20

now you need to subtract the area of the window from the area of the wall to find the amount of space you need to cover with wallpaper

151.125 - 20 = 131.125

6 0

4 years ago

Diana and Sue clean homes for a summer job. They charge $70 for the job plus 5% for supplies. A homeowner gave them a 15% tip. D

Bas_tet [7]

Answer:

well yes because 5 percent of 100 is 5 minus 30% + the 15% tip

7 0

3 years ago

What is F(x)=-12/25(x-25)^2+32 in standard form?

mestny [16]

Answer:

F(x) = -12/25x^2 +24x -268

Step-by-step explanation:

Eliminate parentheses and collect terms.

F(x) = -12/25(x^2 -50x +625) +32

F(x) = -12/25x^2 +24x -268

4 0

3 years ago

A pebble falls off a cliff at a height of

lutik1710 [3]

Answer:

Step-by-step explanation:

The equation for this free fall problem is

$h(t)=-16t^2+1296$ where h(t) is the height of the pebble from the ground at any time t. If we are looking for the time it takes the pebble to hit the ground, knowing that at ground level the height is 0, we set the quadratic equal to 0 and solve for t:

$-16t^2+1296=0$ and

$-16t^2=-1296$ and

$t^2=81$ so

t = -8, 8

Since time will never be negative,

t = 8 seconds

4 0

3 years ago