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son4ous [18]
3 years ago
10

Solve for x. 1/4 (x^2 + 16) = 68

Mathematics
1 answer:
ehidna [41]3 years ago
6 0

düï ëítr ŵŷ

Step-by-step explanation:

sfëk£ï ãdjd

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Explain why S = {(5, 4, -2), (-15, -12, 6), (10, 8, -4)} is NOT a basis for R^3 (1 point Sis linearly dependent and spans R3 S i
earnstyle [38]

S would be a basis for \mathbb R^3 if

(1) the vectors in S are independent, and

(2) the vectors span \mathbb R^3.

  • Linear independence requires that c_1=c_2=c_3=0 is the only solution to

c_1(5,4,-2)+c_2(-15,-12,6)+c_3(10,8,-4)=(0,0,0)

These vectors are not linearly independent because if c_1=3, c_2=1, and c_3=0, we have

3(5,4,-2)+(-15,-12,6)=(15-15,12-12,-6+6)=(0,0,0)

so S is not a basis for \mathbb R^3.

7 0
3 years ago
Easy math question please help
Sophie [7]

Answer:

135 = x

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to and exterior angle that is supplementary to the third interior angles

88 + 47 = x

135 = x

4 0
2 years ago
What is 5x-4y=-7 (-20,-8)in slope intercept form
forsale [732]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following equation:

5x-4y = -7

We manipulate algebraically to write the equation of the slope-intersection form:

-4y = -7-5x\\4y = 5x + 7\\y = \frac {5} {4} x + \frac {7} {4}

We check if the given point belongs to the equation:

y = \frac {5} {4} (- 20) + \frac {7} {4}\\y = -25 + \frac {7} {4}\\y = \frac {-100 + 7} {4}\\y = - \frac {93} {4}

The point does not belong to the equation.

ANswer:

y = \frac {5} {4} x + \frac {7} {4}

4 0
3 years ago
Antonia receives a $10,000 benefit payment at the end of each year. She can invest these payments in an account yielding 4% inte
kobusy [5.1K]

Answer: $44,518

Step-by-step explanation:

Using the formula:

PV = P( \frac{1-(1+r)^{-n} }{r} )

PV = present value

P = Principal

r = rate

n = number of periods

From the question :

PV = ?

P = $10,000

r = 0.04

n = 5

Substituting into the formula , we have

PV = 10,000 (  \frac{1-(1+0.04)^{-5} }{0.04} )

PV = 10,000 ( \frac{1-0.8219271068}{0.04} )

PV = 10,000 ( \frac{0.1780728932}{0.04}

PV = 10,000 ( 4.451822331 )

PV = 44518.22331

Therefore :

PV≈ $ 44,518

8 0
3 years ago
Read 2 more answers
What expression represents the word phase 7 less than the quotient of x and 9
julia-pushkina [17]

Answer :x/9 -7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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