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2 years ago

Find the equation of the line passing through point (-1, -2) and having slope 1/5. Show work.

Mathematics

1 answer:

STatiana [176]2 years ago

6 0

Answer:

Y=1/5x+ -2

Step-by-step explanation:

Hope this helps

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One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x + 16 is (x – 2). What are all the roots of the function? Use the R

Elena L [17]

$f(x) =4 x {}^{3} - 4x {}^{2} - 16x + 16$

$divide \: by \: x - 2$

$4x {}^{2} \: into \: (x - 2) = 4x {}^{3} - 8x {}^{2}$

$g(x) = 4x {}^{2} - 16x + 16$

$4x \: into \: (x - 2) = 4x {}^{2} - 8x$

$z(x) = - 8x + 16$

$- 8 \: into \: (x - 2) = - 8x + 16 \\ no \: remainder$

$f(x) = (x - 2)(4x {}^{2} + 4x - 8)$

$f(x) = 0 \\ x - 2 = 0 \: \: \: \: \: \: \: \: \: 4x {}^{2} + 4x - 8 = 0 \\$

$x = \frac{ - 4 + \sqrt{4 {}^{2} - 4(4)( - 8) } }{2(4)} = \frac{ - 4 + \sqrt{144} }{8} = \frac{ - 4 + 12}{8} = 1$

$x = 2$

$x = \frac{ - 4 - 12}{8} = \frac{ - 16}{8} = - 2$

4 0

2 years ago

Carla has built the figure below by using congruent cubes . What is the total volume of the figure she built

astraxan [27]

If each side of the cube is 3ft, then the volume of one cube is 3*3*3 = 27 times the number of cubes which is 15, so 27*15= 405 feet cubed is the volume of the structure.

6 0

2 years ago

Help pls urgent :) plssss

Ket [755]

Answer:

Fraction form: 1/8

Decimal form: 0.125

Step-by-step explanation:

Slope of line = [-6 - (-8)]/[8 - ( -8)]

= [-6 + 8]/[8 + 8]

= 2/16

= 1/8

= 0.125

7 0

2 years ago

Find S^20 if the series 1 + 1.1 ..... is a (a) arithmetic (b) geometric

quester [9]

I'm guessing S^20 is actually referring to the 20th partial sum $S_{20}$ , with

$S_{20}=1+(1+1\times0.1)+(1+2\times0.1)+\cdots+(1+18\times0.1)+(1+19\times0.1)$

in the arithmetic case, and

$S_{20}=1+1.1+1.1^2+\cdots+1.1^{18}+1.1^{19}$

in the geometric case.

(a) Combining like terms, we have

$S_{20}=20+0.1(1+2+\cdots+18+19)$

and invoking the formula

$1+2+\cdots+(n-1)+n=\dfrac{n(n+1)}2$

we end up with

$S_{20}=20+0.1\dfrac{19\times20}2=39$

(b) Multiply $S_{20}$ by 1.1, then subtract this from $S_{20}$ :

$1.1S_{20}=1.1+1.1^2+1.1^3+\cdots+1.1^{19}+1.1^{20}$

$S_{20}-1.1S_{20}=-0.1S_{20}=1-1.1^{20}$
$\implies S_{20}=\dfrac{1.1^{20}-1}{0.1}\approx57.275$

7 0

3 years ago

. In a town of 42,800 inhabitants, 48% are male. The rest are female. How many more females are there than males?

shutvik [7]

Answer:

1712

Step-by-step explanation:

100%-48%=52%

52-48=4

4% more.

42,800*0.04

1712

3 0

2 years ago

Read 2 more answers