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oksano4ka [1.4K]

3 years ago

6

2x2 − 10x − 28 6x × 6 x − 7

1 answer:

Simora [160]3 years ago

7 0

Answer:

no real solutions

Step-by-step explanation:

If equation is...

$2x^2 - 10x - 28 = 6x(6x) - 7\\2x^2 - 10x - 28 = 6x^2 - 7\\0 = 4x^2 + 10x + 21\\4x^2 + 10x + 21 = 0$

= no real solutions

You might be interested in

Volumes of the solids with disk or shell method?

lina2011 [118]

The answer to the questions of volumes are given as follows

a) $v=128 \pi$

b) $v=\frac{128}{3} \pi$

c) $v=\frac{1024}{5} \pi$

d) $V=\frac{13568}{15} \pi$

Generally, the questions are mathematically solved below

$y=\sqrt{x}, y=4, x=0$

a) x-axis

if $y=4, x=16, x=0$

Using disk method

$} v=\pi \int_{0}^{16}(\sqrt{x})^{2} d x \\$

$v=\pi\left(\frac{x^{2}}{2}\right)_{0}^{16} \\$

$v=\frac{\pi}{2} \times 16 \times 16 \\$

$v=128 \pi$

b) line y=4

if x=0, y=0 ;

$y=\sqrt{x} \Rightarrow x=y^{2}$

Using shell method

$v = \int_{0}^{4} 2 \pi(4-y) \cdot y^{2} d y \\$

$v=2 \pi \int_{0}^{4}\left(4 y^{2}-y^{3}\right) d y$

$v=2 \pi\left[\frac{4 y^{3}}{3}-\frac{y^{4}}{4}\right]_{0}^{4} \\$

$v=\frac{2 \pi}{12}[1024-768] \\$

$v=\frac{512 \pi}{12} \\$

$v=\frac{128}{3} \pi$

c) y-axis

0 ≤ y ≤ 4

x=y^2

Using disk method

volume

$v=\pi \int_{0}^{4} y^{4} d y$$

$v=\pi\left(\frac{y 5}{5}\right)_{0}^{4} \\$

$v=\frac{1024}{5} \pi$

d) line x=-1

y=√x, y=4, x=0

0 ≤ x ≤ 6

Using shell method

volume is

$V=\int_{0}^{16} 2 \pi(1+x) \sqrt{x} d x$$

$V=2 \pi\int_{0}^{16}(x^{1 / 2}+x^{3 / 2}\right) )d x\right. \\$

$V=2 \pi\left[\frac{x^{3 / 2}}{3 / 2}+\frac{x^{5 / 2}}{5 / 2}\right]_{0}^{16} \\$

$V=2 \pi\left[2 / 3 \cdot\left(4^{2}\right)^{3 / 2}+2 / 5\left(4^{2}\right)^{5 / 2}\right] \\$

$V=4 \pi / 3 \cdot 4^{3}+4 \pi / 5 \cdot 4^{5} \\$

$V=4 \pi\left(\frac{1}{3}+\frac{4^{2}}{5}\right)$

$V=\frac{256}{15}(5+48) \pi \\$

$V=\frac{256 \times 53}{15} \pi \\$

$V=\frac{13568}{15} \pi$

Read more about volumes

brainly.com/question/1578538

#SPJ1

8 0

2 years ago

mr dayton uses 8 cups of flour to make three identical loaves of bread how much flour is in each loaf

s2008m [1.1K]

Answer:

4!

Step-by-step explanation:

Hope this helped

4 0

3 years ago

Please help me answer #8 ❤️

Nat2105 [25]

Answer:

125

Step-by-step explanation:

Area of trapezoid = $\frac{a+b}{2} * h$

Bases = 11 and 14

(11+14)=25

25/2=12.5

12.5 x 10 = 125

3 0

3 years ago

What does it mean if the distance between a point p and a line l is zero? What does it mean if the distance between two lines is

-Dominant- [34]

Answer:

a) the point is on the line

b) the lines are the same line

Step-by-step explanation:

a) The distance from a point to a line is zero when the point satisfies the equation of the line. That is, the point is on the line.

b) Two lines are zero distance apart when they are on top of each other, indistinguishable. That is, they are the same line.

4 0

3 years ago

Solve for W.<br><br> 4w-4+2(5w+8)=-2(w+3)<br><br> Simplify your answer as much as possible.

gayaneshka [121]

Answer:

w = $-\frac{9}{8}$

Step-by-step explanation:

The question is $4w-4+2(5w+8)=-2(w+3)$

We can first use distributive property to simplify, the distributive property is $a(b+c)=ab+ac$

Thus we have:

$4w-4+2(5w+8)=-2(w+3)\\4w-4+10w+16=-2w-6$

<em>Now we combine like terms and simplify to get the final answer for w</em><em>.</em>

$4w-4+10w+16=-2w-6\\14w+12=-2w-6\\14w+2w=-6-12\\16w=-18\\w=\frac{-18}{16}\\w=-\frac{9}{8}$

Thus, w = $-\frac{9}{8}$

8 0

3 years ago

Read 2 more answers