PLEASE HELP ME ASAP! DUE TODAY! (functions) (brainliest)

Which of the following is the same as 8.4 × 102 ? A. 84 B. 8,400 C. .84 D. 840

aleksklad [387]

Based on the given answers, do you possibly mean 100 instead of 102?
If so, you would move the decimal point of 8.4 two places to the right, meaning the answer would be letter D. 840.

6 0

3 years ago

Use the quadratic formula to solve each equation.

Elden [556K]

Answer:

1) $x_1 = \frac{2 - 2\sqrt{13}}{2}= 1-\sqrt{13}$

$x_2 = \frac{2 + 2\sqrt{13}}{2}= 1+\sqrt{13}$

2) $x_1 = \frac{6 - 2\sqrt{10}}{1}= 6-2\sqrt{10}$

$x_2 = \frac{6 + 2\sqrt{10}}{1}= 6+2\sqrt{10}$

3) $p_1 = \frac{-8 - 2\sqrt{30}}{4}= -2-\frac{1}{2}\sqrt{30}$

$p_2 = \frac{-8 + 2\sqrt{30}}{4}= -2+\frac{1}{2}\sqrt{30}$

4) $y_1 = \frac{-3 - 9}{4}=-3$

$y_2 = \frac{-3 + 9}{4}= \frac{3}{2}$

Step-by-step explanation:

The quadratic formula is given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

We can use this formula in order to solve the following equations:

1. x^2 − 2x = 12 → a = 1, b = −2, c = −12

For this case if we apply the quadratic formula we got:

$x = \frac{-(-2) \pm \sqrt{(-2)^2 -4(1)(-12)}}{2(1)}$

$x_1 = \frac{2 - 2\sqrt{13}}{2}= 1-\sqrt{13}$

$x_2 = \frac{2 + 2\sqrt{13}}{2}= 1+\sqrt{13}$

2. 1/2x^2 − 6x = 2 → a = 1 / 2, b = −6, c = −2

For this case if we apply the quadratic formula we got:

$x = \frac{-(-6) \pm \sqrt{(-6)^2 -4(1/2)(-2)}}{2(1/2)}$

$x_1 = \frac{6 - 2\sqrt{10}}{1}= 6-2\sqrt{10}$

$x_2 = \frac{6 + 2\sqrt{10}}{1}= 6+2\sqrt{10}$

3. 2p^2 + 8p = 7 → a = 2, b = 8, c = −7

For this case if we apply the quadratic formula we got:

$p = \frac{-(8) \pm \sqrt{(8)^2 -4(2)(-7)}}{2(2)}$

$p_1 = \frac{-8 - 2\sqrt{30}}{4}= -2-\frac{1}{2}\sqrt{30}$

$p_2 = \frac{-8 + 2\sqrt{30}}{4}= -2+\frac{1}{2}\sqrt{30}$

4. 2y^2 + 3y − 5 = 4 → a = 2, b = 3, c = −9

For this case if we apply the quadratic formula we got:

$y = \frac{-(3) \pm \sqrt{(3)^2 -4(2)(-9)}}{2(2)}$

$y_1 = \frac{-3 - 9}{4}=-3$

$y_2 = \frac{-3 + 9}{4}= \frac{3}{2}$

8 0

4 years ago

Calculate the perimeter -math

Flauer [41]

That's easy

alrighty
we can see that each of those curves from K to N and from N to L are just 1/4 of the circumference of the circle
the circles have centers at J and M

so

we have 2 of those 1/4 circumfernce so a total of 2/4 or 1/2 circumference

circumference=2 times pi times radius
radius=JK=JN=NM=ML=7
we want half so
perimiter=1/2 times 2 times pi times 7
we are given pi=22/7 so
perimiter=1/2 times 2 times 22/7 times 7
perimiter=2/2 times 22
permiter=22cm

the perimiter is 22

wait, I forgot abou the bottom part (KL)
that's just twice the radius or 2*7=14
22+14=36
the perimiter is 36cm

7 0

3 years ago

If x^(3/2) = 64, find the value of 4x^(−3/4)

frez [133]

Answer:

1/2

Step-by-step explanation:

x∧(3/2) = 64 = 8²

(3/2)Log₈ x = 2 Log₈ 8

Log₈ x = 4/3

x = 8∧(4/3)

Therefore

4* x∧(-3/4) = 4* 8∧(-1) = 4/8 = 1/2 = 0.5

3 0

3 years ago

The figure below is a diagram of a trapezoidal table that needs to be stained. Each can of stain will cover 50 square inches.

Soloha48 [4]

Each can of stain covers 50 square inches.

Hence, we need 7 cans of stain to cover at least 324 square inches.

6 0

3 years ago