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3 years ago

A. 3(x + 2) = 18 B. X + 2 = 18

Mathematics

1 answer:

son4ous [18]3 years ago

6 0

Answer:

A. x=4

B. x=16

Step-by-step explanation:

A. multiply out: 3x+6=18

subtract 6 from both sides: 3x=12

divide both sides by 3: x=4

B. subtract 2 from both sides: x=16

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Matrix A = [6 -12 4 8]. What is matrix X if 1/2x=A?

Step2247 [10]

Answer:

$X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$

Step-by-step explanation:

A matrix is given by

$A = \left[\begin{array}{cccc}6&-12&4&8\end{array}\right]$

Now, we have to find the matrix X if $\frac{1}{2} X = A$

⇒ X = 2A

Now, multiplication of a constant with a matrix means multiplication with that constant with all the terms of the matrix.

So, $X = \left[\begin{array}{cccc}6 \times 2&-12 \times 2&4 \times 2&8 \times 2\end{array}\right]$

⇒ $X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$ (Answer)

4 0

3 years ago

Read 2 more answers

Write the equation of the circle whose center is (-5, -8) with diameter 12

lora16 [44]

Answer:

(x + 5)^2 + (y + 8)^2 = 6^2

Step-by-step explanation:

A circle formula: (x - h)^2 + (y - k)^2 = r^2

We are given diameter. To find the radius divide diameter by 2.

d = 12

12/2 = r = 6

H and K are given to be (-5 , -8)

(x - (-5))^2 + (y - (-8))^2 = 6^2

(x + 5)^2 + (y + 8)^2 = 6^2

I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.

3 0

2 years ago

WILL AWARD BRAINLIEST AND 30 PTS IF THERE IS A GOOD EXPLANATION. ANSWER IS NOT 243. question: In how many ways can we put five i

Bumek [7]

Answer:

243 ways

Step-by-step explanation:

Fruits = 5

Bowls = 3

Remember that, There are three bowls for five fruits. So the possible outcomes are:

=> $3^5 = 3*3*3*3*3 = 243$ ways

8 0

3 years ago

Help me with these math questions.

Olegator [25]

graph A

no x-intercept

no y-intercept

H.A is y = 5

V. A. is x = 0

*****************************************

Answer: $\frac{150}{31}$

<u>Step by step explanation:</u>

log₆(5x + 6) - log₆(x - 4) = 2

log₆ $(\frac{5x+6}{x-4})$ = 2

$(\frac{5x+6}{x-4})$ = 6²

$(\frac{5x+6}{x-4})$ = 36

5x + 6 = 36(x - 4)

5x + 6 = 36x - 144

6 = 31x - 144

150 = 31x

$\frac{150}{31}$ = x

**********************************************************

Answers:

a. (-1, -5)
b. up
c. x = -1
d. $\frac{-2+\sqrt{15}}{3} and\frac{-2-\sqrt{15}}{3}$
e. -2
f. see attachment
g. domain (-∞, ∞) range [-5, ∞)

<u>Explanation:</u>

f(x) = 3x² + 6x - 2

a=3 b=6 c=-2

x = $\frac{-b}{2a} =\frac{-6}{2(3)} = \frac{-6}{6} = -1$

Axis Of Symmetry: x = -1

f(-1) = 3(-1)² + 6(-1) - 2

= 3 - 6 - 2

= -5

Vertex: (-1, -5)

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

= $\frac{-6+/-\sqrt{6^{2}-4(3)(-2)}}{2(3)}$

= $\frac{-6+/-\sqrt{36+24}}{6}$

= $\frac{-6+/-\sqrt{60}}{6}$

= $\frac{-6+/-2\sqrt{15}}{6}$

= $\frac{-2+/-\sqrt{15}}{3}$

x-intercepts: $\frac{-2+/-\sqrt{15}}{3}$

6 0

3 years ago

Write a rule to describe each transformation

Veronika [31]

Answer:

k = 2

Step-by-step explanation:

the dilation k is the scale factor. A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. To find the scale factor k, we will compare the original points with their transformation

Point R is at (-1,2), and R' is at (-2,4).

divide the ys: 4/2 =2

divide the xs: -2/-1 =2

therefore the scale factor is 2

3 0

3 years ago