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3 years ago

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

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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

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