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3 years ago

11

BRUH what is 14x(8-10)=6

1 answer:

bogdanovich [222]3 years ago

6 0

Answer:

0.18

Step-by-step explanation:

14x(8-10)=6

Distribute 14x

112x-80x=6

32x=6

6/32=0.18

x=0.18

Hope this helps

........and is right :p

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Simplify the expression:<br><br> –3(9 − x) =

steposvetlana [31]

Answer:

Expand $-3(9-x): -27 + 3x$

Step-by-step explanation:

$-3(9-x)$

Apply the distributive law: $a(b-c)=ab-ac$

$a = -3, b=9, c=x$

$=-3*9-(-3)x$

Apply minus - plus rules:

$-(-a)=a$

$= -3*9+3x$

Multiply the numbers: $3 * 9 = 27$

$=-27+3x$

Hope this helps! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

6 0

3 years ago

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

<u>For the first parenthesis:</u>

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

<u>For the second parenthesis:</u>

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

4 years ago

Twelve percent of U.S. residents are in their forties. Consider a group of nine U.S. residents selected at random. Find the prob

miskamm [114]

Answer:

The probability is 28 % ( approx )

Step-by-step explanation:

Since, there are only two possible outcomes in every trails ( residents are in their forties or not ),

So, this is a binomial distribution,

Binomial distribution formula,

Probability of success in x trials,

$P(x)=^nC_x p^x q^{n-x}$

Where, $^nC_x=\frac{n!}{x!(n-x)!}$

p and q are probability of success and failure respectively and n is the total number of trials.

Let X be the event of resident who are in his or her forties.

Here, p = 12% = 0.12,

⇒ q = 1 - p = 1 - 0.12 = 0.88,

n = 9,

Hence, the probability that two or three of the people in the group are in their forties = P(X=2) + P(X=3)

$^9C_2 (0.12)^2 (0.88)^{9-2}+^9C_3 (0.12)^3 (0.88)^{9-3}$

$=36(0.12)^2 (0.88)^7+84(0.12)^3 (0.88)^6$

$=0.279266611163$

$\approx 0.28$

$=28\%$

7 0

3 years ago

You can fly from Seattle to Boise for $137.50, from Boise to Witchita for $92.50 and from Witchita to Austin for $162.50. Use me

Vesnalui [34]

<span>We add all these numbers up. 137.50 +162.50+92.50= 392.50$ Use a cacl or by hand</span>

6 0

3 years ago

Read 2 more answers

Plss solve this problem... will mark brainiest

Sonja [21]

Answer:

87.97 or 88

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers