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3 years ago

Can someone help me solve this step by step? tyyyy

Mathematics

1 answer:

vlabodo [156]3 years ago

8 0

Answer:

x=4/7

Step-by-step explanation:

6 - 2/3(x+5) = 4x

First I want to clear the fraction so I will multiply everything by 3

3*6 -3* 2/3(x+5) = 3*4x

18 - 2(x+5) =12x

Distribute

18 - 2x-10 =12x

Combine like terms

8 -2x = 12x

Add 2x to each side

8 -2x+2x =12x+2x

8 = 14x

Divide each side by 14

8/14 =14x/14

8/14=x

Divide top and bottom by 2

4/7=x

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If L is parallel to M, find the values of x, y, and all 3 angles.

lesya [120]

Answer:

8x - 14 = 5x + 34 (alternate exterior angles)

8x - 5x = 34 + 14

3x = 48

x = 48/3

x = 16

5y + 16 + 8x - 14 = 180 (linear pair)

5y + 16 + 8(16) - 14 = 180

5y + 16 + 128 - 14 = 180

5y + 130 = 180

5y = 180 - 130

5y = 50

y = 50/5

y = 10

∠ (8x - 14) = 114 [(8 × 16 -14)=114]

∠ (5x + 34) = 114 [(5 × 16 +34)=114]

∠ (5y + 16) = 66 [(5 × 10 +16)=66]

hope this helps you!

4 0

2 years ago

Suppose f (x) = x^2. Find the graph of f(x+2)

NISA [10]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
~~~~y={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)={{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\\\
f(x)={{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\\\
f(x)={{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\\\\
--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
~~~~~~\textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
~~~~~~if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
~~~~~~if\ {{ D}}\textit{ is negative, downwards}\\\\
~~~~~~if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind,

$\bf f(x)=x^2\qquad \quad f(x+2)=(x+2)^2\implies f(x+2)=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+2})^2\stackrel{D}{+0}$

C = 2 B = 1 C/B = 2/1 or +2, horizontal left shift of 2 units

f(x) shifted left by 2 units is f(x+2).

8 0

2 years ago

Which unit rate is the lowest price per ounce? Please answer ASAP

algol13

Answer:

Choice A

Step-by-step explanation:

Choice A: $1.49/6 oz = $0.248/oz

Choice B: $3.59/13 oz = $0.276/oz

Therefore, Choice A is the lower price per ounce.

5 0

3 years ago