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IrinaVladis [17]

4 years ago

13

X squared + 9x + 14=0

="x {}^{2} + 9x + 14" alt="x {}^{2} + 9x + 14" align="absmiddle" class="latex-formula">

1 answer:

Nezavi [6.7K]4 years ago

3 0

X²+9x+14=0
(x+7)(x+2)=0
X=-7 or x=-2

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8 0

3 years ago

The height of a square pyramid-shaped gift box is one half the length of

Schach [20]

Answer:

15 inches

Step-by-step explanation:

Volume of a squre based pyramid :

V = a²(h/3)

a = base edge ; h = height

h =1/2 a

V = 4500

4500 = a² * (1/2a) ÷ 3

4500 = a² * a/2 * 1/3

4500 = a³/2 * 1/3

4500 = a³ / 6

27000 = a³

27000 = a³

Take the cube root of both sides

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5 0

3 years ago

Two fewer than a number doubled is the same as the number decreased by 38. if n is "the number," which equation could be used to

Alona [7]

$\displaystyle \\ 
\text{We use the following equation:} \\ \\ 
 \frac{n}{2} = n - 38 \\ \\ 
We solve for n: \\ \\ 
 \frac{n}{2} = n - 38 ~~\Big| \times 2 \\ \\ 
n = 2 \times n - 2 \times 38 \\ \\ 
n = 2n - 76 \\ \\ 
2n - n = 76 \\ \\ 
\boxed{n = 76} \\ \\ 
\text{Verification: } \\ \\ 
\frac{n}{2} = n - 38 \\ \\ 
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\boxed{38 = 38 ~~~ Correct }$

8 0

4 years ago

Adam wishes to have $20 comma 000 available in 18 years to purchase a new car for his son as a gift for his high school graduat

wel

Adam should invest $15516 after 18 years.

<u>Explanation:</u>

Given:

Amount(18) = $20000

Rate of Interest, r = 1.41%

Time, t = 18 years

n = 365 (compounded daily)

General equation of amount that is compounded daily:

$A(t) = A_0(1 + \frac{r}{n} )^n^t$

Solving for A₀:

$A_0 = \frac{A(t)}{(1+\frac{r}{n} )^n^t}$

Substituting the values:

$A_0 = \frac{20000}{(1 + \frac{0.0141}{365})^3^6^5^X^1^8 } \\\\A_0 = \frac{20000}{1.289}\\ \\A_0 = 15516$

Therefore, Adam should invest $15516 after 18 years.

8 0

3 years ago

A new outdoor recreation center is being built in Hadleyville. The perimeter of the rectangular playing field is 316 yards. The

algol13

Given :

Perimeter of rectangular filed , P = 316 yards.

The length of the field is 4 yards less than twice its width.

To Find :

The dimensions of the playing field.

Solution :

Let, width be x.

So, by given condition length will be 2x - 4.

Perimeter is given by :

P = 2( l + b )

316 = 2( 2x - 4 + x )

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x = 54 yards.

So, the dimensions are 54 yards and 104.

Hence, this is the required solution.

8 0

3 years ago